Elementary & Middle

Note to Teacher: This is the third lesson in a series of four geometry lessons. Previous lessons are referred within as Day 1, Day 2…and so on. You can find the other lessons at You Can Do The Rubiks Cube website.

National Standards NCTM

Instructional programs for Geometry grades 5th and 6th should enable all students to:

• understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects

• Select and apply techniques and tools to accurately find length, area, [and] volume …to appropriate levels of precision

• Identify, compare, and analyze attributes of two- and three- dimensional shapes and develop vocabulary to describe the attributes

Common Core State Standards

CCSS.MATH.CONTENT.4.MD.A.3

Solve real­world and mathematical problems involving angle measure, area, surface area, and volume

Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

CCSS.MATH.CONTENT.7.G.B.6

Solve real­world and mathematical problems involving angle measure, area, surface area, and volume.

Solve real­world and mathematical problems involving area, volume and surface area of two­ and three­dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Standards for Mathematical Practice

MP.1. Make sense of problems and persevere in solving them.

MP.2. Reason abstractly and quantitatively.

MP.3. Construct viable arguments and critique the reasoning of

others.

MP.4. Model with mathematics.

MP.5. Use appropriate tools strategically.

MP.6. Attend to precision.

MP.7. Look for and make use of structure.

MP.8. Look for and express regularity in repeated reasoning.

Introductory Geometry: Identify Geometric Attributes & Volume

21st Century Skills

Learning and Innovation Skills

Critical Thinking and Problem Solving

• Exercising sound reasoning in understanding

• Understanding the interconnections among systems

• Identifying and asking significant questions that clarify various points of view and lead to better solutions

• Framing, analyzing and synthesizing information in order to solve problems and answer questions

Creativity and Innovation

• Developing, implementing and communicating new ideas to others

Life and Career Skills

Initiative & Self-Direction

• Defining, prioritizing and completing tasks without direct oversight

• Utilizing time efficiently and managing workload

Leadership & Responsibility

• Using interpersonal and problem-solving skills to influence and guide others toward a goal

Objective Students will be introduced to, understand, and practice the following concepts:

• Perimeter of composite figures

• Area of composite figures

Materials 1. Class set of Rubik’s Cubes (one per student or pair of

students)

2. Way to visually display to the class each of the composite figures demonstrated & discussed in this lesson as shown.

3. Day 2 Worksheet (KEY)—(see Day 2 lesson plans)

4. Day 3 Worksheet (one for each student—see below)

5. Day 3 Homework Sheet (one for each student—see below) Day 3 Homework Sheet (KEY)

6. Optional: Colored pencils, crayons, or markers (Red, Blue, Orange, and Green)

Students bring:

7. Completed Day 2 Worksheet (one for each student)—(see Day 2 lesson plans)

8. Rubik’s Cube

9. Solution Guide

Procedure Introduction

Procedure Instruction

Procedure Instruction

Procedure Guided Practice

Procedure Independent Practice

Procedure Closure & Review

Appendix I: Figures

Figure 1: Procedure - Instruction step 2

Figure 2: Procedure - Instruction Step 4

Figure 3: Procedure - Instruction Step 7

Figure 4: Procedure - Guided Practice-Step 5

Figure 5: Procedure - Guided Practice-Step 7

Lesson 3

Introductory Geometry: Area of Composite Figures

Name Date _

Worksheet

Lesson 3

Introductory Geometry: Area of Composite Figures

Name Date _

Homework

Lesson 3

Introductory Geometry: Area of Composite Figures

Name Date _

Homework

Answer Key