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Honors Geometry Lesson Plans

Honors Geometry – Chapter 7

 

Monday, Jan 1

No School – New Year’s Day

 

Tuesday, Jan 2

Go over Semester test

Start lesson on altitudes, medians and perpendicular bisectors

 

Wednesday, Jan 3

Wrkst – altitudes, medians and perpendicular bisectors

 

Thursday, Jan 4
Lesson: Radicals Review
Objective: To multiply square roots and to rationalize the denominator.
Activity:  First, multiply radicals by multiplying together the coefficients and by multiplying the numbers under the radical.  Then, simplify fractions under a radical and simplify fractions with radicals in the denominator.
Assessment:  Mult. Square Roots and Rationalizing the Denominator 


Friday, Jan. 5

Lesson: Algebra Review: Radical Expressions

Objective: To simplify radicals and to figure basic Pythagorean Theorem problems.

Activity: Simplify radicals. 
Assessment: Wrkst- Algebra Review- Radical Expressions

Not this year -

Pythagorean Theorem Activity

 

Monday, Jan. 8

Lesson: 7.1 Apply the Pythagorean Theorem
Objective: Find the lengths of the sides of right triangles.
Activity: Find the lengths of sides of right triangles using Pythagorean Theorem, find the area of isosceles triangles, and find common sides of right triangles using pythagorean triples.
Assignment: pg. 437, 3-5, 8-31 all, 39-49 LHC
Have worksheet for Pythagorean Theorem


Tuesday, Jan. 9
Lesson: 7.2 Use the Converse of the Pythagorean Theorem
Objective: Use the converse to determine if a triangle is a right triangle.
Activity: Verify that a triangle is a right triangle. Use theorems to verify that a given triangle is acute or obtuse.
Assignment: pg. 444, 1-28 all, omit 2 and 26

Need graph paper


Wed, Jan. 10

Lesson: 7.3 Use Similar Right Triangles (Not the same as we did before, but tomorrows is a repeat of this)
Objective:  To determine the geometric mean between two numbers.  To state and apply the relationships that exists when the altitude is drawn to the hypotenuse of a right triangle. 
Activity:  Review means and extremes.  Review geometric means. 
Look at the relationships that exist
when the altitude is drawn to the
hypotenuse of a right triangle. (Transparencies) 

Assessment: Wrkst - Geometric Means
 

Thursday, Jan. 11

Lesson: 7.3 Use Similar Right Triangles - Again
Objective:  To determine the geometric mean between two numbers.  To state and apply the relationships that exists when the altitude is drawn to the hypotenuse of a right triangle. 
Activity: Go over previous day’s assignment. 
Assessment: pg 453, 3- 4, 8-10, 13-27, 47-49 all

 

Friday, Jan. 12

ACT Aspire


Monday, Jan 15

No School
Teacher Inservice

 

 

Tuesday, Jan. 16

Lesson: 7.4 Special Rt Triangles

Objective: To determine the lengths of 2 sides of a 45-45 right triangles and of 30-60 right triangle when the length of the third side is known. 

Activity: Show one side of a 45-45-rt triangle.  Find the other 2 sides by using Pyth. Theorem.  Use natural numbers and radicals.  Then show the 1-1-*2 ratio as a way to find the missing sides as a short cut method. Show one side of a 30-60-rt triangle.  Find the other 2 sides by making it an equilateral triangle. 

Then show the 1-2-*3 ratio as a way to find the sides easily. 

Assessment: 30-60 rt triangles and 45-45 rt triangles (Both)

 

 

Wednesday, Jan 17

Lesson: 7-4 Special Right Triangles Again

Objective: To determine the lengths of 2 sides of a 45-45 right triangles and of 30-60 right triangles when the length of the third side is known. 

Activity:  Go over homework.  Answer questions. 

Assessment: Worksheet 45-45/30-60 Rt Triangles

Mixed this time)

 

 

Thursday, Jan 18

Lesson: 7-4 More Special Right Triangles 
Objective: To determine the length of the other 2 sides of 45-45-rt and 30-60-rt triangles given one side of the triangle. 
Activity:  Grade previous, can do quiz?, and show examples. 
Look at examples of more special right triangles word problems. 
Assessment:  Wrkst- More Special Rt Triangles

 

Friday, Jan. 19

Lesson: 7-1 to 7-3 Review – Jeopardy

Objective: To review the concepts learned in these sections. 

Activity: Jeopardy Game

Assessment: Students will work the problems and turn them in.

 

Note- Have worksheet- Pythagorean Theorem

Also have construction worksheet - Rt Triangle Constructions

 

Monday, Jan 22

Lesson: 7-5 to 7-7 The Sine, Cosine and Tangent Ratios 

Objective:  Define the tangent, sine and cosine ratios

for an acute angle.  Identify the trig functions according to given triangles.  Use calculator to look up trig functions.  Show triangles with sides given.  Tell the trig ratio.  Use the table or a calculator to find an approx. of trig ratios.

*Note- Teach only first 2 concepts on worksheet today-do solving tomorrow.

Assessment:  Extra Practice 7.5 Trig Ratios

 

 

Tuesday, Jan 23

Lesson: 7-5 to 7-7 The Sine, Cosine and Tangent Ratios Again 

Objective:  Define the tangent, sine and cosine ratios for an acute angle.  Identify the trig functions according to given triangles.  Use a calculator to look up trig functions.  Show triangles with sides given.  Tell the trig ratio.  Use the table or a calculator to find an approx. of trig ratios. 

Assessment: Finish Wrkst- Extra Practice 7.5

 

Wednesday, Jan 24

Lesson: 7-5 to 7-7 The Sine, Cosine and Tangent Ratios 

Objective:  Define the tangent, sine and cosine ratios for an acute angle.  Identify the trig functions according to given triangles.  Use a table to look up trig functions.  Show triangles with sides given.  Tell the trig ratio.  Use the table or a calculator to find an approx. of trig ratios. 

Assessment:  Wrkst- 7.5/7.6 Trig Ratios

 

Thursday, Jan 25

Lesson: 8.7 Applications of Right Triangle Trig 

Objective: To solve right triangle problems by correct selection and use of the tangent, sine, and cosine ratios. 

Activity: Show examples on overhead of how trig functions

are used to solve real life applications problems. 

Assessment:  pg 318, 1-6

 

Friday, Jan 26

Lesson: Chapter 7 Test Review 

Objective: To review concepts learned about choosing the correct method and application problems. 

Activity: Grade homework, and then do review handout. 

Assessment: Wrkst- Mixed Right Triangle Exercises

 

Monday, Jan 29

Objective: To review concepts learned with right triangles. 

Activity: Go over worksheets and answer questions 

Assessment: Oral only

7.1 to 7.3 Review/7.4 to 7.7 Review

Made it optional

 

Tuesday, Jan 30

Go over review.

 

Wednesday, Jan 31

Lesson: Chapter 7 Test 

Objective: To assess knowledge of concepts learned in these sections. 

Activity: Test 

Assessment: Chapter 7 Test