7th grade Math Guide

MEASURING CIRCLES

Unit 3

PACING

KEY LANGUAGE USES

November 13 - December 5 (14 days)

EXPLAIN

STANDARDS

Standard 7.G.2 Draw geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. Standard 7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems; given an informal derivation of the relationship between circumference and area of a circle. THIS IS THE FIRST TIME STUDENTS WORK WITH CIRCLES

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.

Standard 7.RP.3 Use proportional relationships to solve multi-step ratio and percent problems.

Standard 7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

END OF UNIT COMPETENCY WITH LANGUAGE SUPPORTS

I can find the area or circumference of a figure made up of a circle and another shape and explain my reasoning and how I found the area or circumference. Language Supports: ● Vocabulary (area, circumference, pi)

DIFFERENTIATION IN ACTION

Skill Building

From Activity 9.2: MLR 1 Stronger and Clearer Each Time. After students have determined which figure has the largest shaded region, ask students to show their work and provide a brief explanation of their reasoning. Ask each student to meet with 2 – 3 other partners for feedback. Provide students with prompts for feedback that will help them strengthen their ideas and