7th grade Math Guide

SCALE DRAWINGS

Unit 1

PACING

KEY LANGUAGE USES

September 18 - October 10 (16 days)

EXPLAIN

STANDARDS

● Standard 7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

● Standard 7.G.6 Solve real world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

END OF UNIT COMPETENCY WITH LANGUAGE SUPPORTS

I can find the actual distance between two points on a map and explain how I got the distance. Language Supports: ● Vocabulary (scale, distance)

I can make a scale drawing of a bedroom. Language Supports: ●

Vocabulary (scale factor, dimension, etc.)

DIFFERENTIATION IN ACTION

Skill Building

From Activity 4.2: MLR 7 Compare and Connect. Use this routine to call attention to the different ways students may identify scale factors. Display the following statements: “The scale factor from EFGH to IJKL is 3,” and “The scale factor from EFGH to IJKL is 1/3.” Give students 2 minutes of quiet think time to read and consider whether either or both of the statements are correct. Invite students to share their initial thinking with a partner before selecting 2 – 3 students to share with the class. In this discussion, listen for and amplify any comments that refer to the order of the original figure and its scaled copy, as well as those who identify corresponding vertices and distances. Draw students’ attention to the different ways to describe the relationships between scaled copies and the original figure. From Lesson 7 “Are You Ready For More?”: The tallest mountain in the United States, Mount Denali in Alaska, is about 6,190 m tall. If this mountain were shown on the scale drawing, how would its height compare to the heights of the structures? Explain or show your reasoning.

Extension