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Lesson plans - keystone geometry 

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