Teacher: D. Luce Subject: Geometry Grade Level: 9-12

5-E Model Lesson –November 16, 2009

Objectives: HOLT 7.4 Applying properties of Similar Triangles

Content TEKS: G.11.B The SWBAT use properties of similar triangles to find segment lengths and apply angle bisector and triangle proportionality theorems to solve problems.

Language The student will be able to describe verbally or in writing the difference between proportional and congruence.

Vocabulary:

Content Specific Proportionality

Related

angle bisector, transversal, converse, perspective

Materials:

Holt 4.4 PowerPoint Selected slides, Geometer's Sketchpad, Laptops, 7.4 Reteach, 7.4 Practice B

Activities:

Warm-Up SW answer problems on Blackboard - 1 TAKS question and 2 review questions

ENGAGE Have student research and name hobbies, jobs, etc. using scale models. Use conversions on Formula Chart to create proportional relationships.

EXPLORE SW conduct GSP Investigation of Angle Bisector of Triangle, determine how the sides opposite a bisected angle related to the adjacent sides. Tech Lab 7-4 p. 480 TM.

EXPLAIN TW explain Notes & Guided Practice using HOLT PPT 7.4

Guiding Questions:

How is proportion represented in these numbers? Did you find or see a proportion that was unexpected. How is the proportion different from what we have already studied? Is it possible that proportional relationships in other situations? Does anyone have a prediction of a situation where we could find other proportional relationships?

ELABORATE TW work example problems from Reteach 7.4 and Students will work additional problems from Reteach 7.4

EVALUATE SW. Work problems from Practice B 4-1 and continue in Cognitive Tutor

TW provide assistance

5-E Model Lesson – November 17, 2009

Objectives: Holt 7.5: Using Proportional Relationships

Content TEKS G.1A: The SWBAT use ratios to make indirect measurements and use scale drawings to solve problems.

Language The student will use think pair share to compare and contrast the similarity ratio , the ratio of the perimeter, and the area ratio of two figures.

Vocabulary:

Content Specific indirect measurement, scale drawing, scale

Related

proportional, dimensions, similar, similarity ratio

Materials:

Holt 4.5 PowerPoint Selected Slides, Laptop, Exploration sheets, Reteach 7.5 and 7.5 Practice B

Activities:

Warm-Up SW answer problems on Blackboard - 1 TAKS question and 2 review questions

Homework Review:

ENGAGE Have students brainstorm things they could need to measure but would be difficult due to their size.


EXPLORE: Holt 7.5 Exploration Activity - comparing perimeter and area of rectangles.

EXPLAIN: TW Discuss indirect measurement as an everyday application of proportion and similar triangles. Holt PPT 7-5 and sample problems. Allow students to copy Theorems for use on Test 5

Guiding Questions: How would shadows and the height of their objects be related at the same time of day? How can proportions be used with different units of measurement? Name some real world applications of similarity? How are the ratios of the perimeter and area of a polygon related to the similarity ratio of the polygon?

ELABORATE TW work example problems from Reteach 7.5 and Students will work problems.

EVALUATE SW work homework problems from Holt Geometry 7-5 Practice B

5-E Model Lesson –November 18, 2009

Objectives: Holt 7.5: Using Proportional Relationships

.

Content Objective: TEKS G.1A: The SWBAT use ratios to make indirect measurements and use scale drawings to solve problems.

Language Objective: The student will use think pair share to compare and contrast the similarity ratio , the ratio of the perimeter, and the area ratio of two figures.

Vocabulary:

Content Specific
indirect measurement, scale drawing, scale

Related
proportional, dimensions, similar, similarity ratio

Materials:

Holt 7.5 PowerPoint, Laptops, Blackboard - Unit 5 Review

Activities:

Warm-Up

SW answer problems on Blackboard - 1 TAKS question and 2 review questions

Homework Review

ENGAGE: N/A

EXPLORE: NA

EXPLAIN N/A

ELABORATE SW work on Unit 5 Test Review located on Blackboard.

EVALUATE SW answer Homework Check 7.3, 74. & 7.5 questions.

SW work on Unit 5 Test Review

5-E Model Lesson –November 19, 2009

Objectives: Holt Chapter 7 Test Review.

Content Objective: SWBAT apply all theorems and postulates to solve problems on the unit 5 review.

Language Objective: N/A

Vocabulary:

Content Specific
All vocabulary in Chapter 7 of Textbook.

Related
All related vocabulary in Chapter 7.

Materials:

Laptops, Blackboard

Activities:

Warm-Up

SW answer problems on Blackboard - 1 TAKS question and 2 review questions

ENGAGE SW play numbered heads together to solve review problems in a completive game like format.

EXPLORE

N/A

EXPLAIN TW explain Unit 5 review questions.

ELABORATE N/A

EVALUATE Unit 3 Review on Blackboard.

5-E Model Lesson –November 20, 2009

Objectives: SWBAT show mastery of Unit 5 Material - Similarity

Content SWBAT show mastery of Unit 5 Material

Language N/A

Vocabulary:

Content Specific
All Unit 7 vocabulary

Related
All related Unit 7 vocabulary

Materials:

Unit 5 Test

Activities:

Warm-Up

N/A

ENGAGE NA

EXPLORE N/A

EXPLAIN: N/A

ELABORATE SW work on Cognitive Tutor after test.

EVALUATE SW complete Unit 5 Test.

WICR Strategies are used throughout the lesson.