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Keystone Geometry Lesson Plans March 3-13
Keystone Geometry
Monday
Volume of Cylinders and prisms continued
Students will calculate the volume of prisms and cylinders and see how it relates to the surface area using ratios.
Practice problems/notes on board and from the textbook
Problems as dimensions are changed
Assignment: none
Tuesday
volume of pyramids and cones
Students will be able to determine the surface area and volume of pyramids and cones using the formulas for each respectively.
Notes/ practice problems on board / from book
Assignment: finish problem set from book if not done in class
Wednesday
volume of spheres
Students will be able to calculate the surface area and the volume of a sphere using appropriate formulas.
Notes/ practice problems on board
Rations of volumes
Assignment: none
Thursday
Ratios of volumes, cutting out spheres from cubes etc.
Students will be able to determine the volume of a given region by manipulating the formulas for each respective shape shown.
Practice problems on board
Assignment: none
Friday
No school
Keystone Geometry Lesson Plans March 2-6
Keystone Geometry
Monday
Surface area of pyramids and cones continued
Students will be able to determine the surface area of pyramids and cones by “unfolding” the shapes.
Notes/ practice problems on board.
Assignment: none
Tuesday
Surface area of spheres.
Students will be able to calculate the surface area of a sphere using the formula 4*pi*r^2.
The surface area of a sphere will be examined in the unfolding “net” process as well to see some ugly ways of representing a sphere in 2d.
Notes/ practice problems on board.
Assignment: none.
Wednesday
Surface area review
Students will be able to calculate the surface area of prisms, cylinders, pyramids, cones, and spheres.
Surface area Worksheet review
Assignment: study for quiz tomorrow on surface area
Thursday
Surface Area quiz
Students will be able to calculate the surface area of prisms, cylinders, pyramids, cones, and spheres.
Surface area quiz
Assignment: none
Friday
Volume of Cylinders and prisms
Students will calculate the volume of prisms and cylinders and see how it relates to the surface area using ratios.
Practice problems/notes on board and from the textbook
Assignment: finish textbook problems if not done in class.
Keystone Geometry Lesson Plans Feb 24-28
Keystone Geometry
Monday
9.1 Solid figures (3d figures) + eulers formula
Students will be able to identify and name various 3d shapes.
Notes/ problems on board
Assignment: none
Tuesday
Surface area of prisms and cylinders
Students will be able to determine the surface area of prisms and cylinders by “unfolding” the shapes.
Notes/ practice problems on board.
Definitions of surface area and how it differs from “area”
Assignment: pg 488. 17-31
Wednesday
Surface area of prisms and cylinders continued
Surface area boxes activity
Students will be able to determine the surface area of prisms and cylinders by “unfolding” the shapes.
Notes/ practice problems on board.
Assignment: none
Thursday
Surface area of prisms and cylinders continued
Challenge problems
Students will be able to determine the surface area of prisms and cylinders by applying the formulas of areas of polygons to various unfolded shapes.
Notes/ practice problems on board.
Assignment: complete board problems.
Friday
Surface area of pyramids and cones
Students will be able to determine the surface area of pyramids and cones by “unfolding” the shapes.
Notes/ practice problems on board.
Assignment: none
Keystone Geometry Lesson Plans Feb 17-21
Keystone Geometry
Monday
No school
Tuesday
Arc Length
Students will learn about how to find the learn of an arc and learn the obscure unit of a “radian”
notes
Practice problems on board
Assignment: none
Wednesday
Chapter 8 perimeter problems + arc length problems
Students will review perimeter and arc length to prepare for the chapter 8 test on Friday
Review problem set on board.
Assignment: none
Thursday
Chapter 8 Review
Students will review area of shaded regions, perimeter, and arc length in a review game for their chapter 8 test tomorrow.
Review game
Assignment: Study! Test Tomorrow!
Friday
Chapter 8 test (area of shaded region, perimeter, arc length)
Students will take the chapter 8 test
Assignment: non, have a great weekend
Keystone Geometry Lesson Plans Feb 10-14
Keystone Geometry
Monday
Area of circles and sectors continued
Students will be able to find the area of a circle, or various measurements related to circles using the formula for area.
Practice problems on board
Assignment: none
Tuesday
Area of complex figures with shaded regions.
Students will be able to use addition and subtraction of various areas to determine the area of a given shaded region.
Practice problems on board
Assignment: none
Wednesday
Area of complex figures with shaded regions.
Students will be able to use addition and subtraction of various areas to determine the area of a given shaded region.
Area of complex figures regions worksheet A
Assignment: finish worksheet if not done in class
Thursday
Area of complex figures with shaded regions.
Students will be able to use addition and subtraction of various areas to determine the area of a given shaded region.
Area of complex figures regions worksheet B
Assignment: finish worksheet if not done in class
Friday
Finding areas for real life situations.
Students will use their knowledge of area to determine various areas of real problems such as amount of insulation needed to insulate an attic, or how much material is needed to cover a pool.
Problems on board – student discussion
Assignment: none
Keystone Geometry Lesson Plans Feb 3-7
Keystone Geometry
Monday
No school
Tuesday
8.1-8.6 review
Students will be able to use the formulae for various areas to solve for missing values of polygons/complex polygons, as well as their areas
Practice on board + review sheet
Assignment: none / study!
Wednesday
8.1-8.6 quiz
Students will use what they know about area of various polygons to complete a mid-chapter quiz.
8.1-8.6 quiz
Assignment: none
Thursday
8.7, area of a circle
Students will derive the area of a circle and use its formula to calculate the area or various circles with differing radii.
“pi discussion, what is it, what does it mean, why is it useful?”
Notes/ problems on board
Assignment: none
Friday
8.7, area of a circle continued
Students will derive the area of a circle and use its formula to calculate the area or various circles with differing radii.
“pi discussion, what is it, what does it mean, why is it useful?”
Notes/ problems on board
Assignment: none
Keystone Geometry
Monday
8.4 Area of a triangle
Students will use the formula for finding the area of a triangle to determine the total area of complex polygons.
Notes/ practice problems on board.
Assignment: pg 434-435 8-27
Tuesday
8.5 area of parellelograms
Students will be able to use the formula for the area of a parallelogram/rhombus to determine the area of shapes and complex polygons
Notes/ problems done on board
Assignment: none
Wednesday
8.6 area of a trapezoid
Students will sue the formula to find the area of a trapezoid and use this to determine areas of complex polygons. Students will also break trapezoids into triangles and rectangles to verify the math.
Practice problems done on board.
Trapezoid breakdown activity.
Assignment: pg 448-449 #5-13, 18-20
Thursday
8.3-8.6 area of complex polygons
Students will use the formulae from 8.3-8.6 to determine the area of complex polygons.
Area of complex polygons worksheet
Assignment: finish worksheet if not done in class
Friday
8.3-8.6 area of complex polygons continued
Students will use the formulae from 8.3-8.6 to determine the area of complex polygons.
Area of complex polygons worksheet 2
Assignment: finish worksheet if not done in class
Keystone Geometry Lesson Plans Jan 20-24
Keystone Geometry
Monday
No school
Tuesday
8.1/8.2 polygons and their angles
Students will be able to identify polygons as convex or concave, and also determine the measures of angles according to the interior angle theorem and exterior angle theorem.
Notes/ problems done on board
Assignment: pg. 421 #8-21
Wednesday
8.1/8.2 continued
Students will be able to use algebra and logical reasoning from chapter 8 to determine values and angle measures of polygons
Polygons and their angles worksheet
Assignment: none
Thursday
8.1/8.2 continued
Students will be able to use algebra and logical reasoning from chapter 8 to determine values and angle measures of polygons
Polygons and their angles worksheet
Assignment: finish worksheet if not done in class
Friday
8.3. Area of a rectangle/square
Students will use the formula for finding the area of a rectangle/ square to determine the total area of complex polygons.
Notes/ practice problems on board.
Assignment: none
Keystone Geometry Lesson Plans Jan 13- 17
Keystone Geometry
Monday
End of 9 weeks notebook check, make up tests, and homework collection
Students will make up missing work for the second 9 weeks if needed, if not they will work through practice problems to get ready for more chapter 7 material
Assignment: none
Tuesday
7.2 similar polygons.
Students will be able to solve for corresponding angles and set up proportions for similar polygons.
Practice problems on board
Assignment: pg 369-370 # 11-20
Wednesday
7.3 Showing triangles are similar using AA
Students will be able to prove that triangles are similar using a 2 column proof structure similar to chapter 5 triangle proofs.
Assignment: none
Thursday
7.1-7.3 practice
Students will prove that triangles are similar and then use a proportion to solve for side lengths and angles.
Practice problems on board
7.1-7.3 practice worksheet
Assignment: finish worksheet
Friday
7.4 showing triangles are similar by sss, sas
Students will use SSS, and SAS to show that triangles are similar to one another in a similar fashion to the 2 column proofs for triangle congruency before.
Practice problems on board/ from the book.
Assignment: pg 384 # 19-26
Keystone Geometry Lesson Plans Jan 6- Jan 10
Keystone Geometry
Monday
6.5 Trapezoids
Students will be able to determine the midsegment of a trapezoid, and determine angle measures of trapezoids
Practice problems on board / book pg 334.
Assignment: pg 334 #14-25
Tuesday
Chapter 6 review
Students will review concepts and theorems to prepare for the upcoming chapter 6 test.
Practice problems on board
Assignment: study!
Wednesday
Chapter 6 review continued.
Students will continue reviewing quadrilaterals and their properties to prepare for the test tomorrow.
Review game/ practice problems on board.
Assignment: Study!
Thursday
Chapter 6 Test
Students will be able to identify and prove various quadrilaterals as their special forms and also be able to solve for variables regarding angle measures and side lengths of 4 sides shapes.
Ch 6. Test
Assignment: none
Friday
7.1 ratio and proportion
Students will be able to set up and simplify ratios and solve proportions.
Practice problems on board
Assignment: pg 361-362, # 17-24 and 32-44 even
Keystone Geometry Lesson Plans Dec 3- Jan 3
Keystone Geometry
Monday
No school
Tuesday
No school
Wednesday
No school
Thursday
Quadrilaterals, parallelograms, rhombus, rectangle, and square review
Students will review concepts learned just before Christmas break to get back into the swing of things so that we may use them to continue with the chapter’s materials.
Practice problems on board
Assignment: none
Friday
Trapezoids
Students will learn what makes a quadrilateral a trapezoid and use this knowledge to solve various problems
Notes
Practice problems on board
Assignment: none
Keystone Geometry Lesson Plans Dec 16-20
Keystone Geometry
Monday
6.4 rhombuses, rectangles, and squares contd.
Students will be able to identify the next step of shapes and solve problems relating to each ones unique characteristics.
Practice problems on board
Assignment: pg 329-330 # 2-5, 10-12, 18-20, 22
Tuesday
6.5 Trapezoids
Students will be able to determine the midsegment of a trapezoid, and determine angle measures of trapezoids
Practice problems on board / book pg 334.
Assignment: pg 334 #14-25
Wednesday
Chapter 6 review
Students will review concepts and theorems from chapter 6 to prepare for an upcoming chapter 6 test.
Ch.6 Review worksheet
Two column proof additions to proof sheet.
Assignment: study
Thursday
Chapter 6 review contd
Students will review concepts and theorems from chapter 6 to prepare for an upcoming chapter 6 test.
Ch.6 Review
Assignment: study
Friday
Chapter 6 Test
Students will be able to identify and prove various quadrilaterals as their special forms and also be able to solve for variables regarding angle measures and side lengths of 4 sides shapes.
Ch 6. Test
Assignment: none
Keystone Geometry Lesson Plans Dec 9-13
Keystone Geometry
Monday
Chapter 5 test
Students will be able to prove that triangles are congruent by any of SSS, SAS, AAS, ASA, or HL.
Chapter 5 test
Assignment: none
Tuesday
6.1 polygons
Students will be able to identify polygons based on their number of sides, and also solve for missing angles in quadrilaterals.
Practice problems on board
Assignment: none
Wednesday
6.2 parallelograms
Students will use the properties of parallelograms to solve for side length and angles for parallelograms using the theorems that accompany them.
Practice problems on board
Ch. 3 review with parallel lines
Assignment: pg 314 28-37
Thursday
6.3 showing quadrilaterals are parallelograms
students will be able to prove that a quadrilateral is a parallelogram in a two column format, and also show that a quadrilateral is a parallelogram using algebra.
Practice problems on board/ pg 320-321
Assignment: none
Friday
6.1-6.3 review
Students will be able to prove parallelograms from quadrilaterals, and solve for various side lengths and angle measures
6.1-6.3 review sheet
Problems on board
Assignment: finish review sheet.
Keystone Geometry Lesson Plans Dec 2-6
Keystone Geometry
Monday
No school
Tuesday
Review SAS, SSS, AAS, and ASA
Students will prove triangles are congruent by one of the 4 postulates listed to review material learned before the break
Practice problems on board
Assignment: none
Wednesday
5.4 H-L congruence theorem
Students will be able to show triangles are congruent by using the Hypotenuse-Leg theorem.
Practice problems on board.
Assignment: pg 260 7-9 15-23
Thursday
5.5 Using congruent triangles
Students will prove that triangle are congruent, and then use that information to prove different corresponding parts of the triangles are congruent.
Practice problems on board
Assignment: none
Friday
5.5 continued
Students will prove that triangle are congruent, and then use that information to prove different corresponding parts of the triangles are congruent.
5.5 worksheet
Assignment: study for 5-5.5 test on Tuesday next week
Keystone Geometry Lesson Plans nov. 25-29
Keystone Geometry
Monday
5.3 AAS and ASA congruency postulates
Students will be able to identify triangles that can be proved congruent by the AAS or ASA postulates.
Practice problems on board
Assignment: pg 253-254 7-9, 17-22
Tuesday
5.3 continued
Students will be able to write proofs to prove that triangles are congruent by the AAS or ASA postulates.
Problems on board
Assignment: none
Wednesday
5.3 continued + SSS and SAS
Students will be able to write proofs to prove that triangles are congruent by the AAS or ASA postulates, as well as SSS or SAS postulates
Problems on board
Assignment: enjoy thanksgiving
Thursday
No school
Friday
No school
Keystone Geometry Lesson Plans nov. 18- 22
Keystone Geometry
Monday
Chapter 5 pretest
Students will take a pretest on all the material in chapter 5 to assess what they know before diving into the chapter.
Chapter 5 pretest
Assignment: none
Tuesday
5.1 Congruence and triangles
Students will determine which sides or angles of triangles are corresponding or not based on congruence.
Practice problems on board.
Assignment: none
Wednesday
5.2 Proving triangles are congruent: SSS and SAS
Students will be able to prove that two triangles are congruent through the use of the SSS or the SAS postulates.
Practice problems on board/ in book on pg 245
Assignment: Pg.245-246 6,7,8, 21-26
Thursday
5.2 proofs for SSS and SAS
Students will write two column proofs to show that two triangles are congruent by the SSS or SAS postulates.
Examples on board/ 5.2 proof worksheet.
Assignment: none
Friday
5.2 proofs for SSS and SAS continued
Students will write two column proofs to show that two triangles are congruent by the SSS or SAS postulates.
More practice problems – multistep logic
Assignment: none
Keystone Geometry Lesson Plans nov. 11- nov.15
Chapter 4 test on Friday (tentatively)
Keystone Geometry
Monday
4.4 Pythagorean theorem continued
Students will be able to apply the Pythagorean theorem to right triangles, and show triangles are right triangles using the theorem
Practice problems on board
Assignment: none
Tuesday
4.6 Medians of a Triangle
Students will be able to use the median of a triangle to determine side lengths and locate the centroid of triangles.
Notes+practice problems on board
Assignment: 4-6, 11-16
Wednesday
4.6 practice
Students will be able to solve for various lengths using the Centroid of a triangle and the medians.
Centroid worksheet
Assignment: complete worksheet if not done in class.
Thursday
Triangle inequality + review
Students will see the triangle inequality to determine if 3 numbers are valid as side lengths for a triangle, and also students will practice for their chapter 4 test.
Practice problems on board.
Assignment: study!
Friday
Chapter 4 test.
Students will complete the chapter 4 test
Chapter 4 Test
Assignment: none
Keystone Geometry Lesson Plans nov. 4- nov.8
Keystone Geometry
Monday
Chapter 4 intro. Triangles and their classifications
Students will be able to identify each type of triangle and provide the definition of each.
Notes and problems on the board.
Assignment: none
Tuesday
4.2 practice problems
Students will be able to solve for variables given various angles of triangles and exterior angles.
Practice problems on board + triangle angles worksheet.
Assignment: finish worksheet if not done in class
Wednesday
4.3 isosceles and equilateral triangles
Students will be able to solve for side lengths and angle lengths for isosceles and equilateral triangles.
Practice problems on the board.
Assignment: pg. 189 # 17-26
Thursday
4.4 Pythagorean theorem
Students will be able to apply the Pythagorean theorem to right triangles
Visual proof
Practice problems on board
Assignment: none
Friday
No school
Keystone Geometry Lesson Plans oct. 28 – nov. 1
Keystone Geometry
Monday
Transformations
Students will be able to identify the transformation(s) that took place from two images of the same figure
Practice problems on board
Assignment: none
Tuesday
Transformations continued
Students will practice identifying transformations and also describing the transformations quantitatively as well as qualitatively.
Transformations worksheet
Assignment: finish worksheet if not done in class
Wednesday
Chapter 4 intro. Triangles and their classifications
Students will be able to identify each type of triangle and provide the definition of each.
Notes and problems on the board.
Assignment: none
Thursday
4.2 practice problems
Students will be able to solve for variables given various angles of triangles and exterior angles.
Practice problems on board + triangle angles worksheet.
Assignment: finish worksheet if not done in class
Friday
4.3 isosceles and equilateral triangles
Students will be able to solve for side lengths and angle lengths for isosceles and equilateral triangles.
Practice problems on the board.
Assignment: pg. 189 # 17-26
Keystone Geometry Lesson Plans oct. 21 – oct 25
Ch. 3 test on Friday!
Keystone Geometry
Monday
Review of angles within parallel lines and transversals
Students will review material they learned before the week long business week absence
Same side interior, alt. exterior, alt. interior, and corresponding angles
Assignment: none
Tuesday
3.6 Using Parallel/ perpendicular lines
Students will be able to determine whether or not lines are parallel or perpendicular using given information and the converse of the previous angle definitions.
Notes/problems on board
Assignment: pg 148 #19,20,21,28
Wednesday
Review parallel and perpendicular lines
Students will use their knowledge of parallel and perpendicular lines to solve various problems to prepare for their chapter 3 test
Parallel lines worksheet 2
Assignment: finish worksheet if not done in class
Thursday
Review game Ch.3
Students will play a review game for chapter 3 materials in which they must solve parallel line problems
Review game
Assignment: study for test tomorrow!
Friday
Ch. 3 test
Students will be able to determine whether or not lines are parallel or perpendicular using given information and the converse of the previous angle definitions. Also will be able to solve same side interior, alt. exterior, alt. interior, and corresponding angles problems.
Ch. 3 test
Assignment: none
Keystone Geometry lesson plans for the week of 10/14-10/18
Monday
No school
Tuesday
Review/study hall
Business week
Assignment: study
Wednesday
Review/study hall
Business week
Assignment: study
Thursday
Review/study hall
Business week
Assignment: study
Friday
Review/study hall
Business week
Assignment: study
Keystone Geometry lesson plans for the week of 10/07-10/11
Monday
Chapter 3 Parallel and perpendicular lines and 3.2: theorems for parallel and perpendicular lines
Students will be able to identify different types of lines as parallel, perpendicular, or skew. They will also be able to determine if lines are parallel or perpendicular.
Problems on board
Assignment: pg 110, 2-5, 15-24
Tuesday
3.3 and 3.4 Angles formed by transversals. transversals and parallel lines
Students will be able to determine corresponding angles, alternate interior/exterior angles, and same side interior angles
Practice problems on the board + additions to proof sheet.
Assignment: pg. 132 9-12, 22-28
Wednesday
Transversals of parallel lines continued.
Students will solve problems relating to two parallel lines being cut by a transversal.
Parallel lines and transversal worksheet.
Assignment: finish worksheet if not done in class.
Thursday
Transversals of parallel lines continued.
Students will solve more challenging parallel line problems to test their critical thinking skills and how they may reason through a problem.
Parallel lines and transversals worksheet 2
Assignment: finish worksheet if not done in class
Friday
No school
Keystone Geometry lesson plans for the week of 9/30-10/04
Logic Test Thursday!
Monday
Geometric proof
Students will be able to complete geometric proofs justifying each step.
Two column proofs.
Practice examples on the board
Assignment: 2 column proof worksheet
Tuesday
Geometric proof continued
Students will be able to complete geometric proofs justifying each step.
Two column proofs.
Practice examples on the board
Assignment: Study for test
Wednesday
Logic review
Students will review the topics presented within the logic section regarding inductive reasoning, Truth values, deductive reasoning, validity, and two column proofs.
Assignment: Test Tomorrow
Thursday
Logic Test
Students will complete the test on the logic section.
Assignment: none
Friday
Chapter 3 Parallel and perpendicular lines
Students will be able to identify different types of lines as parallel, perpendicular, or skew. They will also be able to determine if lines are parallel or perpendicular.
Problems on board
Assignment: pg 110, 2-5, 15-24
Keystone Geometry lesson plans for the week of 9/23-9/27
Monday
Conditional statements continued
Students will be able to write conditional statements, and determine their truth value.
Conditional statement practice sheet.
Assignment: Finish worksheet
Tuesday
Deductive reasoning
Students will use the law of syllogism to reason through statements and determine their truth value.
Deductive reasoning problems on the board
Assignment: none
Wednesday
Algebraic proof
Students will be able to complete an algebraic proof justifying each step.
Properties of equality and congruence handout
Example problems on board.
Assignment: Justify each step worksheet.
Thursday
Geometric proof
Students will be able to complete geometric proofs justifying each step.
Two column proofs.
Practice examples on the board
Assignment: 2 column proof worksheet
Friday
Logic Puzzle Friday
Students will be able to apply deductive reasoning and truth tables to solve various logic puzzles
Problems on board.
Assignment: none
Keystone Geometry lesson plans for the week of 9/16-9/20
Monday
Chapter 2 review game
Students will review materials from chapter 2 about bisectors, complementary and supplementary angles, and vertical angles to prepare for a quiz
Assignment: study
Tuesday
Chapter 2 review contd.
Students will review materials from chapter 2 about bisectors, complementary and supplementary angles, and vertical angles to prepare for a quiz
Assignment: Study!!!
Wednesday
Chatper 2 test
Students will take the chapter 2 test to apply knowledge about complementary, supplementary, and vertical angles.
Chapter 2 Test
Assignment: none
Thursday
Inductive reasoning, conjectures and counterexamples / conditional statements
Students will be able to use inductive reasoning to identify patterns and make conjectures. Also to provide counterexamples to conjectures given in class.
Conditional statements
Students will be able to identify the hypothesis and conclusion of a conditional statement and write conditional statements in their symbolic and word forms.
Practice problems on the board
Assignment: none
Friday
Conditional statements continued
Students will be able to create truth tables and identify converse, inverse, and contrapositive statements.
Conditional statements forms worksheet + board notes
Assignment: Finish worksheet
Keystone Geometry lesson plans for the week of 9/9 – 9/13
Monday
2.1 Segment bisectors
Students will be able to determine the midpoint of a segment and length of segments using bisectors.
Practice problems on board as well as in book.
Assignment: pg 57, #16-22 even, #31,33,35.
Tuesday
2.2 Angle Bisectors
Students will be able to determine angle measures using angle bisectors and solve for angle measures using angle bisectors.
Problems on the board
Assignment: pg 64, #8-22 even
Wednesday
2.3 Complementary and supplementary angles.
Students will be able to add and subtract angles using the definition of supplementary and complementary angles.
Problems on board + complementary and supplementary angles worksheet.
Assignment: none
Thursday
2.4 Vertical angles
Students will be able to solve for a set of angles by using the vertical angles theorem and their linear pairs.
Vertical angles worksheet
Assignment: finish worksheet if not completed
Friday
Chapter 2 review
Students will review materials from chapter 2 about bisectors, complementary and supplementary angles, and vertical angles to prepare for a quiz
Assignment: none
Keystone Geometry lesson plans for the week of 9/2-9/6.
ALL students should have their calculators by the end of this week.
Ch.1 quiz friday
Monday - no school
Tuesday
Segment addition and angle addition postulate practice
Students will solve for variables and write expressions for segments and angles in line with postulates 5 and 6 in the book.
Practice problems on board
assignment: none
Wednesday
Ch. 1 review game
Students will play a review game to aid with naming various components in geometry as well as some of the operations needed for their quiz on Friday
Review Game
Assignment: study
Thursday
Ch. 1 quiz review
Students will review relevant materials in problems which combine multiple aspects of ch.1
Review challenge worksheet
Assignment: Study!
Friday
Ch.1 quiz
Students will complete a quiz to show their understanding, retention, and application of skills and concepts learned in Ch.1
Chapter 1 quiz
Assignment: none
Keystone Geometry lesson plans Aug 26-30
ALL students should have their calculators by the end of this week.
Monday
1.3 continued. Identifying points, lines, segments, rays, and planes
Students will be able to identify lines, segments, and rays to determine if points are collinear or coplanar Notes/problems on board.
pg 17, 15-26
Assignment: complete pg 17/18 to #33
Tuesday
Section 1.4 exploring intersections
Students will be able to identify and name the intersections of lines, and planes.
Notes/problems on board
Assignment: none
Wednesday
Section 1.5 segments and their measures
Students will determine the length of segments and be able to add segments together.
Notes/problems on board
Assignment: pg 32, #22-25 31,32, **33**
Thursday
Section 1.5 segments and their measures contd.
Students will be able to determine if segments are congruent
Problems on board: pg 30 5,6 pg 31 5,6 pg 32 27,28
Assignment: none
Friday
1.6 angles and their measures + adding angles
Students will be able to identify and measure angles as well as add angles.
Identification: acute, obtuse, right, straight + identify congruent angles
Adding angles together, then identify the result.
Practice problems on board
assignment: pg 38 # 9-14, 27-29, 30, 32
Keystone geometry Lesson Plans may 24-28
Upcoming Test/Projects: none
Algebra I
Monday
No school
Tuesday
review for final
Students will cover main points of each chapter to prepare for the final tomorrow
Assignment: Study for final tomorrow!
Wednesday
Geometry final
Students will take the geometry final
Assignment: none
Thursday
Finish any missing assignments, turn in books, and calculators
Assignment: none
Friday
Half day, relax and enjoy summer
Assignment: none
Lesson Plans for geometry May 20 - 24
Upcoming Test/Projects: ch. 11 quiz
Keystone geometry
Monday
Ch.11 Review.
Students will review concepts in chapter 11 to prepare for the chapter 11 quiz
Practice problems on board
Assignment: study!
Tuesday
Keystone math testing, no class
Wednesday
Ch. 11 quiz
Students will take the chapter 11 quiz
Assignment: study!
Thursday
Review for geometry final
Students will begin to review for their final on Wednesday of next week.
Assignment: study.
Friday
Review for geometry final
Students will continue to review for their final on Wednesday of next week.
Assignment: study.
Lesson Plans for geometry May 13 – May 17
Upcoming Test/Projects: none
Keystone geometry
Monday
Arc length review
Students will review how to find arc length, and central angles.
Practice problems on board
Assignment: none
Tuesday
11.4 arcs and chords.
Students will be able to use arcs and chords to solve problems using theorems relating to chord lengths.
Practice problems on board/ notes.
Assignment: none
Wednesday
11.4 arcs and chords practice problems
Students will solve for lengths of chords in circles using the various theorems presented in the chapter.
Assorted book problems from pg. 610-611
Assignment: none
Thursday
11.5 inscribed angles
Students will solve for inscribed angles of various polygons inside a circle.
Notes handout.
Assignment: finish problems on the handout if not done in class
Friday
11.6 properties of chords
Students will use theorems about chords and arc length relationships to solve for chord lengths and arc lengths.
Practice problems on board
Assignment: none
Lesson Plans for geometry May 6 – May 10
Upcoming Test/Projects: none
Keystone geometry
Monday
Going over test
Real life calculations and how they can be done: ex calculate the size of the moon, distance to a star using trig.
Students will apply trig to calculate real life lengths.
Assignment: none
Tuesday
None – NHS inductions.
Wednesday
Ch. 11.1 Parts of circles
Students will be able to identify parts of circles and the chords that go through them.
Notes/ practice on board
Assignment: none
Thursday
11.2 properties of tangents
Students will learn how to verify a line is a tangent to a circle, and use properties relating to tangents to solve problems
Assignment: pg. 598. #7-12, 17-19
Friday
Arc length review
Students will review how to find arc length, and central angles.
Practice problems on board
Assignment: none
Lesson Plans for geometry April 29-May 3
Upcoming Test/Projects: test thursday
Keystone geometry
Monday
Trig: practice problems.
Students will be able to use the trig. ratios, law of sines, and law of cosines to solve triangles.
Practice problems on board
Assignment: none
Tuesday
Trig: practice problems contd.
Students will be able to use the trig. ratios, law of sines, and law of cosines to solve triangles.
Trig overview worksheet
Assignment: none
Wednesday
Flex day: extra review for trigonometry for those who need it before the test
Students will be able to use the trig. ratios, law of sines, and law of cosines to solve triangles.
Practice problems on board: review game
Assignment: study! Test tomorrow
Thursday
Trigonometry test
Students will be able to use the trig. ratios, law of sines, and law of cosines to solve triangles.
Fundamentals of trigonometry test
Assignment: none
Friday
Calculating size of the moon/distance to stars
Students will calculate stellar distances and sizes using basics of trig and learn how we determined these with rudimentary equipment.
Assignment: none
Lesson Plans for geometry April 22-26
Upcoming Test/Projects: none
Keystone geometry
Monday
No school
Tuesday
Trig: law of sines continued
Students will be able to use the law of sines to solve for angle measures, and side lengths for triangles.
Law of sines worksheet
Assignment: finish worksheet if not done in class
Wednesday
Trig: law of cosines
Students will be able to use the law of cosines to solve for angle measures, and side lengths for triangles.
Practice problems / notes on board
Assignment: none
Thursday
Trig: law of cosines continued
Students will be able to use the law of cosines to solve for angle measures, and side lengths for triangles.
Law of cosines worksheet
Assignment: finish worksheet if not done in class
Friday
Mixed trig problems
Students will be able to use basic trig, the law of sines, and the law of cosines to solve any triangle given.
Complex trig problems – requiring the use of multiple trig functions.
Assignment: none
Lesson Plans for geometry April 15-19
Upcoming Test/Projects: none
Keystone geometry
Monday
Statics problems
Students will use vector addition where the vectors sum to 0 in order to determine missing vector lengths.
Practice problems on the board
Assignment: none
Tuesday
Statics problems continued
Students will use vector addition where the vectors sum to 0 in order to determine missing vector lengths.
Practice problems on the board
Assignment: finish final problem from class notes
Wednesday
Statics problems – final day
Students will use vector addition to solve real world statics problems or motion.
Practice problems on board.
Assignment:none
Thursday
No school
Friday
No school
Lesson Plans for geometry April 8-12
Upcoming Test/Projects: vectors quiz friday
Keystone geometry
Monday
Adding/subtracting vectors: components.
Students will be able to use trig to determine the cardinal directions of vectors.
Notes/ practice problems on board.
Assignment: none
Tuesday
Adding and subtracting vectors : components
Students will be able to break vectors into components, then add them together to determine a resultant vector using trig.
Notes/practice problems on board
Assignment: finish final example problem.
Wednesday
Adding and subtracting vectors practice
Students will be able to break vectors into components, then add them together to determine a resultant vector using trig.
Adding/subtracting vectors worksheet
Assignment: finish worksheet if not done in class
Thursday
Adding and subtracting vectors practice
Students will practice adding and subtracting vectors one more time before the quiz.
Practice problems on board
Quiz review
Assignment: quiz tomorrow on vector components and adding them/subtracting them.
Friday
Adding/subtracting vectors quiz
Students will be able to add and subtract components of vectors to obtain resultant vectors.
Vectors quiz
Assignment: none
Lesson Plans for geometry April 1-5
Upcoming Test/Projects: trig functions quiz Wednesday. Sin, cos, tan
Keystone geometry
Monday
Trig practice: multistep problems
Students will be able to apply the trig functions to solve for lengths/angles to use in other problems. (using one triangle to find another, etc.
Critical thinking exercises.
Assignment: none
Tuesday
Basic Trig review
Students will review basic trig concepts to find lengths and angles in triangles for various problems similar to those seen in class.
Trig practice quiz
Assignment: none
Wednesday
Trig quiz.
Students will take their basic trigonometry quiz.
Assignment: none
Thursday
Cartesian vectors.
Students will learn what a vector is and how it can be broken into its perpendicular components.
Creating a right triangle from vectors.
Applications of trig.
Vector components worksheet
Assignment: finish vector components worksheet.
Friday
Adding/subtracting vectors.
Students will add or subtract vectors together using the “tip to tail” method.
Adding/ subtracting vectors worksheet.
Assignment: finish adding/ subtracting vectors worksheet if not done in class.
Lesson Plans for geometry march 25-29
Upcoming Test/Projects:
Keystone geometry
Monday
Trig practice: Tangent
Students will practice using the tangent trig function to solve for opposite and adjacent sides using either of the 2 non-90 angles in a right triangle.
Practice problems on board
Assignment: none
Tuesday
Trig practice: Sine and Cosine
Students will practice using the Sine/Cosine trig function to solve for opposite/adjacent sides and hypotenuse using either of the 2 non-90 angles in a right triangle.
Assignment: none
Wednesday
Trig practice: SOHCAHTOA
Students will solve for all missing angles and lengths of a triangle using the trig functions given only 1 angle and 1 side length.
Trig triangles practice worksheet.
Assignment: finish worksheet
Thursday
Trig practice: multistep problems
Students will be able to apply the trig functions to solve for lengths to use in other problems. (using one triangle to find another, etc.
Critical thinking exercises.
Assignment: none
Friday
Trig practice: solving for an angle.
Students will be able to apply the inverse trig functions in order to solve for angles from ratios of sides.
Practice problems on board
Assignment: none
Lesson Plans for geometry march 18-22
Upcoming Test/Projects:
Keystone geometry
Monday
No school
Tuesday
30-60-90 triangles
Students will examine 30-60-90 triangles to determine lengths of legs and hypotenuse length.
Notes/ practice problems on board.
Using the Pythagorean theorem until we see the pattern for the ratios.
Assignment: none
Wednesday
30-60-90 triangles contd.
Students will use similar triangles to find the lengths of each side of a 30-60-90 triangle.
Notes/ practice problems on board
Assignment: none
Thursday
30-60-90 triangles (final)
Students will be able to use ratios from similar triangles to determine the side lengths and angles of 30-60-90 triangles.
30-60-90 triangles worksheet
Assignment: finish worksheet if not done in class
Friday
45 - 45 – 90 and 30 – 60 – 90 triangles
Students will be able to determine angle measures, ratios of side lengths, and hypotenuse lengths for each of the 2 types of common triangles.
Common triangles worksheet
Assignment: finish worksheet if not done in class
Lesson Plans for geometry march 11- 15
Upcoming Test/Projects: test on surface area and volume Tuesday.
Keystone geometry
Monday
Surface area and volume review for test
Students will play a review game to help them prepare for the test tomorrow
Surface area and volume of prisms, cylinders, cones, and spheres.
Assignment: study!!
Tuesday
Surface area and volume test
Students will be able to calculate surface area and volume for various figures
Surface are and volume test
Assignment: none
Wednesday
Introduction to trig: triangles and their measures review. Simplifying square roots (10.1)
Students will see common triangles and triangles which are similar to them. Students will be able to use the Pythagorean theorem to calculate side lengths.
Assignment: pg 539 #20-25, pg 541 # 57-59
Thursday
Another look at PI.
Where it comes from, how it’s useful.
Students will recall what pi is and some useful facts about it for “pi-day” This will also be their pi and arc length review to get them ready for tackling a unit circle next week for trigonometry.
Notes on board
Assignment: none, happy pi-day!
Friday
10.2, 45-45-90 triangles
Students will examine 45-45-90 triangles and be able to solve algebraic expressions derived from them.
Practice problems on board.
Assignment: pg 545 #6-17
Lesson Plans for geometry march 4- 8
Upcoming Test/Projects:
Keystone geometry
Monday
Surface area and volume of prisms and cylinders contd.
Students will review their relationships of surface area and volume by manipulating equations. In variable form.
Assign: none
Tuesday
Surface area and volume of pyramids and cones
Students will be able to determine the surface area and volume of pyramids and cones using the formulas for each respectively.
Notes/ practice problems on board / from book
Assignment: finish problem set from book if not done in class
Wednesday
Surface area and volume of spheres
Students will be able to calculate the surface area and the volume of a sphere using appropriate formulas.
Notes/ practice problems on board
Assignment: practice problems from the surface area of sphere and volume of a sphere sections in the book. (TBD)
Thursday
Surface area and volume of solids and how they go together. Ratios of volumes, etc.
Students will be able to calculate surface area and volumes for any drawn figure, and also be able to make calculations regarding the surface area or volume when measurements double, triple, halve, etc.
Challenge problems done in class
Assignment: none
Friday
Surface area and volume review game
Students will be able to calculate surface area and volumes for any basic shape given.
On board problems for eraser slide review game.
Assignment: none. (study for test on Tuesday on surface area and volume)
Lesson Plans for geometry feb 25- Feb march 1
Upcoming Test/Projects:
Keystone geometry
Monday
Surface area of pyramids and cones.
Student will be able to determine the surface area of pyramids and cones using the formulas for each respectively.
Notes/ practice problems on board
Assignment: Students should read and work through the examples provided in the chapter.
Tuesday
Surface area of pyramids and cones continued.
Students will be able to determine the surface area of pyramids and cones using the formulas for each respectively.
Notes/ practice problems on board
Assignment: finish problems given in class.
Wednesday
Surface area of pyramids, cones, prisms, and cylinders
Students will be able to determine the surface area of any solid figure (except sphere) for real life objects by taking measurements using a ruler.
Practice activity for finding surface area by measuring.
Assignment: none
Thursday
Surface area of solid shapes (except spheres) activity.
Students will choose objects and draw diagrams, as well as take measurements to find out the surface area of each.
Bag of random solid figures
Surface area real life worksheet
Assignment: finish calculations if not done in class.
Friday
Surface area of spheres.
Students will be able to calculate the surface area of a sphere using the formula 4*pi*r^2.
The surface area of a sphere will be examined in the unfolding “net” process as well to see some ugly ways of representing a sphere in 2d.
Notes/ practice problems on board.
Assignment: none.
Lesson Plans for geometry feb 18- Feb 22
Upcoming Test/Projects:
Keystone geometry
Monday
Solid figures (3d figures)
Students will be able to identify and name various 3d shapes.
Euler’s formula
Platonic solids
Notes/ problems on board
Assignment: pg 476 20- 40
Tuesday
Surface area of prisms and cylinders
Students will be able to determine the surface area of prisms and cylinders by “unfolding” the shapes.
Notes/ practice problems on board.
Definitions of surface area and how it differs from “area”
Assignment: none
Wednesday
Surface area of prisms and cylinders continued
Surface area boxes activity
Students will be able to determine the surface area of prisms and cylinders by “unfolding” the shapes.
Notes/ practice problems on board.
Assignment: none
Thursday
Surface area of prisms and cylinders continued
Challenge problems
Students will be able to determine the surface area of prisms and cylinders by applying the formulas of areas of polygons to various unfolded shapes.
Notes/ practice problems on board.
Assignment: complete board problems.
Friday
Surface area of pyramids and cones
Students will be able to determine the surface area of pyramids and cones by “unfolding” the shapes.
Notes/ practice problems on board.
Assignment: none
Lesson Plans for geometry feb 11- Feb 15
Upcoming Test/Projects: Test on area and perimeter on wednesday
Keystone geometry
Monday
Area and perimeter review
Students will review finding areas of different shapes/ complex figures, and also finding perimeter/arc length.
Area and perimeter problems put on board
Assignment: none
Tuesday
Area and perimeter review
Students will review finding areas of different shapes/ complex figures, and also finding perimeter/arc length.
Area and perimeter Study guide for test
Assignment: Test tomorrow!
Wednesday
Area and perimeter test
Students will apply their knowledge of perimeter and area to various figures, with and without shading to determine the perimeters and/or areas asked for.
Area and perimeter test
Assignment: none
Thursday
Solid figures (3d figures)
Students will be able to identify and name various 3d shapes.
Notes/ problems on board
Assignment: pg 476 1-19
Friday
Surface area of prisms and cylinders
Students will be able to determine the surface area of prisms and cylinders by “unfolding” the shapes.
Notes/ practice problems on board.
Definitions of surface area and how it differs from “area”
Assignment: study over the weekend. Test mid next week
Lesson Plans for geometry feb 4- Feb 8
Upcoming Test/Projects:
Keystone geometry
Monday
Area of complex figures with shaded regions.
Students will be able to use addition and subtraction of various areas to determine the area of a given shaded region.
Area of complex figures regions worksheet B
Assignment: finish worksheet if not done in class
Tuesday
Finding areas for real life situations.
Students will use their knowledge of area to determine various areas of real problems such as amount of insulation needed to insulate an attic, or how much material is needed to cover a pool.
Problems on board – student discussion
Assignment: none
Wednesday
Perimeter of shapes
Students will be able to find the perimeter of various polygons and solve for missing side lengths
Notes and problems on board.
Perimeter systems of equations problems.
Assignment: none
Thursday
Arc length
Students will determine arc length of a circle when an internal measure and central angle measure are known.
What is a “radian?”
Relationship between arc length and central angle.
Perimeter and arc length worksheet.
Assignment: finish perimeter + arc length worksheet
Friday
Systems of equations with perimeter
Students will apply their previous knowledge of systems of equations to perimeter problems to solve for lengths and costs in real world problems.
Systems of equations recall – using your calculator.
Assignment: study over the weekend. Test mid next week
Lesson Plans for geometry Jan 28- Feb 1
Upcoming Test/Projects:
Keystone geometry
Monday
Area of complex figures with shaded regions.
Students will be able to use addition and subtraction of various areas to determine the area of a given shaded region.
Practice problems on board
Assignment: none
Tuesday
Area of complex figures with shaded regions.
Students will be able to use addition and subtraction of various areas to determine the area of a given shaded region.
Area of complex figures regions worksheet A
Assignment: finish worksheet if not done in class
Wednesday
Area of complex figures with shaded regions.
Students will be able to use addition and subtraction of various areas to determine the area of a given shaded region.
Area of complex figures regions worksheet B
Assignment: finish worksheet if not done in class
Thursday
Perimeter of shapes
Students will be able to find the perimeter of various polygons and solve for missing side lengths
Notes and problems on board.
Perimeter systems of equations problems.
Assignment: none
Friday
Arc length
Students will determine arc length of a circle when an internal measure and central angle measure are known.
What is a “radian?”
Relationship between arc length and central angle.
Perimeter and arc length worksheet.
Assignment: finish perimeter + arc length worksheet
Lesson Plans for geometry Jan 21 – January 25
Upcoming Test/Projects:
Keystone geometry
Monday
No school
Tuesday
8.7, area of a circle continued
Students will derive the area of a circle and use its formula to calculate the area or various circles with differing radii.
“pi discussion, what is it, what does it mean, why is it useful?”
Notes/ problems on board
Assignment: none
Wednesday
Central angles and sectors of a circle.
Students will be able to determine the area of a sector given the measure of a central angle or vice versa.
Practice problems on board
Assignment: pg 456 15-21, 24-26, 33-35.
Thursday
Arc length
Students will determine arc length of a circle when an internal measure and central angle measure are known.
What is a “radian?”
Relationship between arc length and central angle.
Assignment: none
Friday
Area of complex figures with shaded regions.
Students will be able to use addition and subtraction of various areas to determine the area of a given shaded region.
Practice problems on board
Assignment: none
Lesson Plans Jan 14 – January 18
Upcoming Test/Projects:
Keystone geometry
Monday
8.6 area of a trapezoid
Students will sue the formula to find the area of a trapezoid and use this to determine areas of complex polygons. Students will also break trapezoids into triangles and rectangles to verify the math.
Practice problems done on board.
Trapezoid breakdown activity.
Assignment: pg 448-449 #5-13, 18-20
Tuesday
8.3-8.6 area of complex polygons
Students will use the formulae from 8.3-8.6 to determine the area of complex polygons.
Area of complex polygons worksheet
Assignment: finish worksheet if not done in class
Wednesday
8.1-8.6 review
Students will be able to use the formulae for various areas to solve for missing values of polygons/complex polygons, as well as their areas
Practice on board + review sheet
Assignment: none / study!
Thursday
8.1-8.6 quiz
Students will use what they know about area of various polygons to complete a mid-chapter quiz.
8.1-8.6 quiz
Assignment: none
Friday
8.7, area of a circle
Students will derive the area of a circle and use its formula to calculate the area or various circles with differing radii.
“pi discussion, what is it, what does it mean, why is it useful?”
Notes/ problems on board
Assignment: none
Lesson Plans Jan 7 – January 11
Upcoming Test/Projects:
Keystone geometry
Monday
8.1/8.2 contd.
Students will be able to use algebra to determine interior/exterior angles of polygons of n sides.
Practice problems on board
Assignment: none
Tuesday
8.3. Area of a rectangle/square
Students will use the formula for finding the area of a rectangle/ square to determine the total area of complex polygons.
Notes/ practice problems on board.
Assignment: none
Wednesday
8.4 Area of a triangle
Students will use the formula for finding the area of a triangle to determine the total area of complex polygons.
Notes/ practice problems on board.
Assignment: pg 434-435 8-27
Assignment: none
Thursday
8.5 area of parellelograms
Students will be able to use the formula for the area of a parallelogram/rhombus to determine the area of shapes and complex polygons
Notes/ problems done on board
Assignment: none
Friday
8.6 area of a trapezoid
Students will sue the formula to find the area of a trapezoid and use this to determine areas of complex polygons. Students will also break trapezoids into triangles and rectangles to verify the math.
Practice problems done on board.
Trapezoid breakdown activity.
Assignment: pg 448-449 #5-13, 18-20
Lesson Plans Dec 31 – January 4
Upcoming Test/Projects:
Keystone geometry
Monday
No School
Assignment: none
Tuesday
No School
Assignment: none
Wednesday
No School
Assignment: none
Thursday
8.1/8.2 polygons and their angles
Students will be able to identify polygons as convex or concave, and also determine the measures of angles according to the interior angle theorem and exterior angle theorem.
Notes/ problems done on board
Assignment: pg. 421 #8-21
Friday
8.1/8.2 continued
Students will be able to use algebra and logical reasoning from chapter 8 to determine values and angle measures of polygons
Practice problems done on board.
Students will come to the board to draw polygons and to answer questions.
Assignment: none
Keystone geometry lesson plans for the week of dec 17 – dec 21
Monday 12/17
7.5 proportions and similar triangles
Students will be able to set up and solve proportions relating to triangles.
Practice problems on board
Midsegment of a triangle relation.
Assignment: pg 390-391 # 14-29
Tuesday 12/18
Chapter 7 practice problems
Students will be able to show that triangles are similar and use similar triangles to write proportions to solve for missing side lengths.
Assorted practice problems on board (not from book)
Assignment: none
Wednesday 12/19
Chapter 7 review day
Students will review relevant chapter 7 materials to prepare for a chapter 7 test tomorrow.
Chapter 7 review worksheet on similarity and proportions
Assignment: study!
Thursday 12/20
Chapter 7 test
Students will take the chapter 7 test on similar figures, ratio, and proportion.
Chapter 7 test
Assignment: none
Friday 12/21
Holiday math activities.
Students will relax before the holiday with some fun, food, and learning.
Assignment: Happy Holidays!
Keystone geometry lesson plans for the week of dec 10 – dec 14
Monday 12/10
7.1 ratio and proportion
Students will be able to set up and simplify ratios and solve proportions.
Practice problems on board
Assignment: pg 361-362, # 17-24 and 32-44 even
Tuesday 12/4
7.2 similar polygons.
Students will be able to solve for corresponding angles and set up proportions for similar polygons.
Practice problems on board
Assignment: pg 369-370 # 11-20
Wednesday 12/5
7.3 Showing triangles are similar using AA
Students will be able to prove that triangles are similar using a 2 column proof structure similar to chapter 5 triangle proofs.
Students will review concepts and theorems from chapter 6 to prepare for an upcoming chapter 6 test.
Ch.6 Review worksheet
Two column proof additions to proof sheet.
Assignment: none
Thursday 12/6
7.1-7.3 practice
Students will prove that triangles are similar and then use a proportion to solve for side lengths and angles.
Practice problems on board
7.1-7.3 practice worksheet
Assignment: finish worksheet
Friday 12/7
7.4 showing triangles are similar by sss, sas
Students will use SSS, and SAS to show that triangles are similar to one another in a similar fashion to the 2 column proofs for triangle congruency before.
Practice problems on board/ from the book.
Assignment: pg 384 # 19-26
Keystone geometry lesson plans for the week of Nov. 26– Nov. 30
Monday 11/26
No school
Tuesday 11/27
6.1 polygons
Students will be able to identify polygons based on their number of sides, and also solve for missing angles in quadrilaterals.
Practice problems on board
Assignment: none
Wednesday 11/28
6.2 parallelograms
Students will use the properties of parallelograms to solve for side length and angles for parallelograms using the theorems that accompany them.
Practice problems on board
Ch. 3 review with parallel lines
Assignment: pg 314 28-37
Thursday 11/29
6.3 showing quadrilaterals are parallelograms
students will be able to prove that a quadrilateral is a parallelogram in a two column format, and also show that a quadrilateral is a parallelogram using algebra.
Practice problems on board/ pg 320-321
Assignment: none
Friday 11/30
6.1-6.3 review
Students will be able to prove parallelograms from quadrilaterals, and solve for various side lengths and angle measures
6.1-6.3 review sheet
Problems on board
Assignment: finish review sheet.
Keystone geometry plans for the week of Nov. 19 – Nov. 23
Monday 11/19
Review day
Students will review triangle proofs to prepare for their chapter 5 test
proofs on board
Assignment: none
Tuesday 11/20
Chapter 5 test
Students will complete the chapter 5 triangle congruence proofs test
Assignment: none
Wednesday 11/21
No school
Thursday 11/22
No school
Friday 11/23
No school
Keystone Geometry lesson plans for the week of Nov. 12 -Nov 16
Monday 11/12
5.3 AAS and ASA congruency postulates
Students will be able to identify triangles that can be proved congruent by the AAS or ASA postulates.
Practice problems on board
Assignment: pg 253-254 7-9, 17-22
Tuesday 11/13
5.3 continued
Students will be able to write proofs to prove that triangles are congruent by the AAS or ASA postulates.
Problems on board
Assignment: none
Wednesday 11/14
5.4 H-L congruence theorem
Students will be able to show triangles are congruent by using the Hypotenuse-Leg theorem.
Practice problems on board.
Assignment: pg 260 7-9 15-23
Thursday 11/15
5.5 Using congruent triangles
Students will prove that triangle are congruent, and then use that information to prove different corresponding parts of the triangles are congruent.
Practice problems on board
Assignment: none
Friday 11/16
5.5 continued
Students will prove that triangle are congruent, and then use that information to prove different corresponding parts of the triangles are congruent.
5.5 worksheet
Assignment: study for 5-5.5 test on tuesday
Keystone Geometry lesson plans for the week of Nov. 5 -Nov 9
Monday 11/5
Review for chapter 4 test (pushed back for review)
Students will review topics of chapter 4 to prepare for the test.
Assignment: Study!
Tuesday 11/6
Chapter 4 Test
Students will complete the test on chapter 4.
Assignment: none
Wednesday 11/7
5.1 Congruence and triangles
Students will determine which sides or angles of triangles are corresponding or not based on congruence.
Practice problems on board.
Assignment: none
Thursday 11/8
5.2 Proving triangles are congruent: SSS and SAS
Students will be able to prove that two triangles are congruent through the use of the SSS or the SAS postulates.
Practice problems on board/ in book on pg 245
Assignment: Pg.245-246 6,7,8, 21-26
Friday 11/9
5.2 proofs for SSS and SAS
Students will write two column proofs to show that two triangles are congruent by the SSS or SAS postulates.
Examples on board/ 5.2 proof worksheet.
Assignment: none
Keystone Geometry lesson plans for the week of Oct. 29- nov 2
Monday 10/29
4.6 Medians of a Triangle
Students will be able to use the median of a triangle to determine side lengths and locate the centroid of triangles.
Notes+practice problems on board
Assignment: 4-6, 11-16
Tuesday 10/30
4.6 practice
Students will be able to solve for various lengths using the Centroid of a triangle and the medians.
Centroid worksheet
Assignment: complete worksheet if not done in class.
Wednesday 10/31
Triangle inequality + review
Students will see the triangle inequality to determine if 3 numbers are valid as side lengths for a triangle, and also students will practice for their chapter 4 test.
Practice problems on board.
Assignment: study!
Thursday 11/1
Chapter 4 test.
Students will complete the chapter 4 test
Chapter 4 Test
Assignment: none
Friday 11/2
No school
Keystone Geometry lesson plans for the week of Oct. 22-26
Monday 10/22
4.2 practice problems
Students will be able to solve for variables given various angles of triangles and exterior angles.
Practice problems on board + triangle angles worksheet.
Assignment: finish worksheet if not done in class.
Tuesday 10/23
4.3 isosceles and equilateral triangles
Students will be able to solve for side lengths and angle lengths for isosceles and equilateral triangles.
Practice problems on the board.
Assignment: pg. 189 # 17-26
Wednesday 10/24
4.4 Pythagorean theorem
Students will be able to apply the Pythagorean theorem to right triangles
Visual proof
Practice problems on board
Assignment: none
Thursday 10/25
4.4 continued + 4.5
Students will be able to solve Pythagorean theorem problems and also show that a triangle is a right triangle using the Pythagorean theorem
Pythagorean theorem worksheet
Assignment: finish worksheet if not done in class
Friday 10/26
1st 9 weeks overview and recap
Students will review materials from the 1st nine weeks to ensure retention of skills.
Practice problems on board.
Last day to turn in late/missing assignments
Assignment: none
Keystone Geometry lesson plans for the week of Oct. 15-19
Monday 10/15
Parallel lines and angle postulates review
Students will review the postulates regarding parallel lines to prepare for their chapter test on Tuesday
Practice problems on board
Assignment: study
Tuesday 10/16
Chapter 3 parallel lines test
Students will complete a test on parallel lines and the postulates that go along with them.
Assignment: none
Wednesday 10/17
Transformations
Students will be able to identify the transformation(s) that took place from two images of the same figure
Practice problems on board
Assignment: none
Thursday 10/18
Transformations continued
Students will practice identifying transformations and also describing the transformations quantitatively as well as qualitatively.
Transformations worksheet
Assignment: Finish worksheet if not completed in class
Friday 10/19
Chapter 4 intro. Triangles and their classifications
Students will be able to identify each type of triangle and provide the definition of each.
Notes and problems on the board.
Assignment: none
Keystone geometry lesson plans for the week of Oct. 8-12
Monday 10/08
No school
Tuesday 10/09
3.4 practice.
Students will be able to identify the 4 different related angles with transversals and be able to solve for variables in related problems.
Recap problems on the board.
Worksheet on Transversals and the angles they create.
Assign: finish worksheet if not done in class.
Wednesday 10/10
3.6 Determining parallel lines using theorems
Students will be able to state the theorem or postulate that allows two lines to be parallel for a given set of lines.
Summary of ways to show lines are parallel handout.
Practice problems on board + in book.
Assign: none
Thursday 10/11
3.7 Translation, rotation, and reflection.
Students will be able to describe the transformations done to a shape in terms of translation, rotation, and reflection.
Practice problems on board + in book examples
Assign: none
Friday 10/12
Transformations practice
Students will describe transformations done to figures.
Transformations worksheet
Assign: complete the worksheet if not done in class
Keystone geometry lesson plans for October 1- October 5th
Monday 10/1
Chapter 3 Parallel and perpendicular lines
Students will be able to identify different types of lines as parallel, perpendicular, or skew. They will also be able to determine if lines are parallel or perpendicular.
Problems on board
Assignment: pg 110, 2-5, 15-24
Tuesday 10/2
3.2. Theorems for parallel and perpendicular lines
Students will be able to apply the perpendicular line theorem, right angle theorem, and their converses to solve problems.
Practice problems on board + additions to proof sheet.
Assignment: none.
Wednesday 10/3
3.3 and 3.4 Angles formed by transversals. transversals and parallel lines
Students will be able to determine corresponding angles, alternate interior/exterior angles, and same side interior angles
Practice problems on the board + additions to proof sheet.
Assignment: pg. 132 9-12, 22-28
Thursday 10/4
Transversals of parallel lines continued.
Students will solve problems relating to two parallel lines being cut by a transversal.
Parallel lines and transversal worksheet.
Assignment: finish worksheet if not done in class.
Friday
No School
Assignment: none
Keystone Geometry lesson plans for the week of 9/24-9/28
Monday 9/24
Algebraic proof
Students will be able to complete an algebraic proof justifying each step.
Properties of equality and congruence handout
Example problems on board.
Assignment: Justify each step worksheet.
Tuesday 9/25
Geometric proof
Students will be able to complete geometric proofs justifying each step.
Two column proofs.
Practice examples on the board
Assignment: 2 column proof worksheet
Wednesday 9/26
Geometric proof continued
Students will practice more geometric proofs and be able to complete two column proofs independently.
2 column proof extra practice worksheet
Assignment: finish worksheet
Thursday 9/27
Logic review
Students will review the topics presented within the logic section regarding inductive reasoning, Truth values, deductive reasoning, validity, and two column proofs.
Assignment: Test Tomorrow
Friday 9/28
Logic Test
Students will complete the test on the logic section.
Assignment: none
Keystone geometry lesson plans for the week of 9/17-9/21
Monday 9/17
Inductive reasoning, conjectures and counterexamples.
Students will be able to use inductive reasoning to identify patterns and make conjectures. Also to provide counterexamples to conjectures given in class.
Practice problems on the board
Assignment: none
Tuesday 9/18
Conditional statements
Students will be able to identify the hypothesis and conclusion of a conditional statement and write conditional statements in their symbolic and word forms.
Assignment: none
Wednesday 9/19
Conditional statements continued
Students will be able to create truth tables and identify converse, inverse, and contrapositive statements.
Conditional statements forms worksheet + board notes
Assignment: Finish worksheet
Thursday 9/20
Conditional statements continued
Students will be able to write conditional statements, and determine their truth value.
Conditional statement practice sheet.
Assignment: Finish worksheet
Friday 9/21
Deductive reasoning
Students will use the law of syllogism to reason through statements and determine their truth value.
Deductive reasoning worksheet + problems on the board
Assignment: none
Keystone geometry lesson plans for the week of 9/10 – 9/14
Monday 9/10
2.2 Angle Bisectors
Students will be able to determine angle measures using angle bisectors and solve for angle measures using angle bisectors.
Problems on the board
Assignment: pg 64, #8-22 even, 28, 30
Tuesday 9/11
2.3 Complementary and supplementary angles.
Students will be able to add and subtract angles using the definition of supplementary and complementary angles.
Problems on board + complementary and supplementary angles worksheet.
Assignment: pg 70 8-10, 15-24, 37, 40
Wednesday 9/12
2.4 Vertical angles
Students will be able to solve for a set of angles by using the vertical angles theorem and their linear pairs.
Vertical angles worksheet
Assignment: finish worksheet if not completed
Thursday 9/13
Chapter 2 review
Students will review materials from chapter 2 about bisectors, complementary and supplementary angles, and vertical angles to prepare for a quiz
Vertical angles worksheet
Assignment: none
Friday 9/14
Chapter 2 quiz
Students will solve problems based from chapter 2 regarding bisectors, complementary/supplementary angles, and vertical angles.
Quiz day
Assignment: none
Keystone Geometry lesson plans for the week of 9/3-9/7.
ALL students should have their calculators by the end of this week.
Monday 9/3 - no school
Tuesday 9/4
1.6 angles and their measures + adding angles
Students will be able to identify and measure angles as well as add angles.
Identification: acute, obtuse, right, straight + identify congruent angles
Adding angles together, then identify the result.
Practice problems on board
assignment: pg 38 # 9-14, 27-29, 30, 32
Wednesday 9/5
3Ch. 1 quiz review
Students will review relevant materials in problems which combine multiple aspects of ch.1
Review challenge worksheet
Assignment: Study!
Thursday 9/6
Ch.1 quiz
Students will complete a quiz to show their understanding, retention, and application of skills and concepts learned in Ch.1
Chapter 1 quiz
Assignment: none
Friday 9/7
2.1 Segment bisectors
Students will be able to determine the midpoint of a segment and length of segments using bisectors.
Practice problems on board as well as in book.
Assignment: pg 57, #16-22 even, #31,33,35.
Keystone geometry plans for the week of 8/27-8/31
Monday 8/27
Section 1.3, points, lines, and planes
Students will be able to identify lines, segments, and rays to determine if points are collinear or coplanar
Notes/problems on board.
Assignment: pg 17, 15-26
Tuesday 8/28
Section 1.3, points, lines, and planes contd.
Students will be able to identify lines, segments, and rays to determine if points are collinear or coplanar
Notes/problems on board.
Assignment: none
Wednesday 8/29
Section 1.4 exploring intersections
Students will be able to identify and name the intersections of lines, and planes.
Notes/problems on board
Assignment:none
Thursday 8/30
Section 1.5 segments and their measures
Students will determine the length of segments and be able to add segments together.
Notes/problems on board
Assignment: pg 32, #22-25 31,32, **33**
Friday 8/31
Section 1.5 segments and their measures contd.
Students will be able to determine if segments are congruent
Problems on board: pg 30 5,6 pg 31 5,6 pg 32 27,28
Assignment: none
keystone geometry lesson plans week of 8/23-8/24
***Assignment for the week***
Return signed syllabus by Tuesday Aug. 28th.
Casio Prism calculator due by Wed. Sept. 5th.
Thursday 8/23
Rules/expectations
Introductions
textbook distribution
Assignment: none
Friday 8/24
geometry introduction + 24 game
Students will be given a brief look into some of the facets of geometry and proof based mathematics.
assignment: none
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