# Chapter 9: Distance and Area

**Basic**Created by: CK-12

## Introduction

In Math 7, the learning content is divided into Concepts. Each Concept is complete and whole providing focused learning on an indicated objective. Theme-based Concepts provide students with experiences that integrate the content of each Concept. Students are given opportunities to practice the skills of each Concept through real-world situations, examples, guided practice and independent practice sections. There are also video links provided to give students an audio/visual way of connecting with the content. In this Chapter, students will engage with Concepts on square roots, the Pythagorean Theorem, area of parallelograms, trapezoids, triangles and circles, circumference of circles, irrational numbers and rational numbers.

## Chapter Outline

- 9.1. Evaluation of Square Roots
- 9.2. Evaluation of Perfect Square Roots
- 9.3. Simplification of Radical Expressions
- 9.4. Equations with Square Roots
- 9.5. Estimation of Square Roots
- 9.6. Properties of Rational Numbers versus Irrational Numbers
- 9.7. Pythagorean Theorem and its Converse
- 9.8. Solving Equations Using the Pythagorean Theorem
- 9.9. Area of a Parallelogram
- 9.10. Unknown Dimensions of Parallelograms
- 9.11. Estimation of Parallelogram Area in Scale Drawings
- 9.12. Triangle Area
- 9.13. Unknown Dimensions of Triangles
- 9.14. Area of Composite Shapes Involving Triangles
- 9.15. Circle Circumference
- 9.16. Diameter or Radius of a Circle Given Circumference
- 9.17. Area of a Circle
- 9.18. Radius or Diameter of a Circle Given Area
- 9.19. Areas of Combined Figures Involving Circles

### Chapter Summary

## Summary

Having completed this chapter, students are now ready to move on to the next Chapter. Each Concept has provided students with an opportunity to engage and practice skills in many Concepts including square roots, the Pythagorean Theorem, area of parallelograms, trapezoids, triangles and circles, circumference of circles, irrational numbers and rational numbers.