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Algebra A1Mr. Brennan Chapter 12 Radicals and Connections to Geometry Review Hamilton-Wenham Regional High SchoolDepartment of Mathematics.

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Presentation on theme: "Algebra A1Mr. Brennan Chapter 12 Radicals and Connections to Geometry Review Hamilton-Wenham Regional High SchoolDepartment of Mathematics."— Presentation transcript:

1 Algebra A1Mr. Brennan Chapter 12 Radicals and Connections to Geometry Review Hamilton-Wenham Regional High SchoolDepartment of Mathematics

2 Algebra A1Mr. Brennan Chapter 12 Review Radicals and Connections to Geometry Hamilton-Wenham Regional High SchoolDepartment of Mathematics Learning Objectives: Chapter 12

3 Algebra A1Mr. Brennan Chapter 12 Review Radicals and Connections to Geometry Hamilton-Wenham Regional High SchoolDepartment of Mathematics Learning Objectives: Chapter 12

4 The review for chapter 12 has three types of slides 1.Review material with goals and definitions 2.Examples with solutions (22) 3.Practice problems There are 57 practice problems for Chapter 12. Work out the problems as you encounter them. The answer to each question is displayed after each question. Radicals and Connections to Geometry Chapter 12

5 Quick Links Chapter 12 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 Functions Involving Square Roots Operations with Radical Expressions Solving Radical Expressions Completing the Square Logical Reasoning: Proof Trigonometric Ratios: Exploring Data and Statistics The Pythagorean Theorem and Its Converse The Distance and Midpoint Formulas

6 Lesson 12.1 Functions Involving Square Roots

7 Solution

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13 Lesson 12.2 Operations with Radical Expressions

14 Solution

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22 Lesson 12.3 Solving Radical Expressions

23 Solution

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29 Lesson 12.4 Completing the Square

30 Solution

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33 These are sample answers: Choose a method to solve the quadratic equation. Explain your choice. 4. finding square roots because the equation is of the form 5. factoring because the quadratic can be easily factored 6. Using quadratic formula because the quadratic contains decimals.

34 Lesson 12.5 The Pythagorean Theorem and Its Converse

35 Solution

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38 Determine whether the given lengths are sides of a right triangle.

39 Lesson 12.6 The Distance and Midpoint Formulas

40 Solution

41 Find the distance between the two points. Round the result to the nearest hundredth if necessary.

42 Solution

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48 Lesson 12.7 Trigonometric Ratios: Exploring Data and Statistics

49 Solution

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53 Lesson 12.8 Logical Reasoning: Proof

54 Solution

55 Prove the theorem using the basic axioms of algebra. Given Definition of subtraction Addition axiom of equality. Comm. Axiom of addition. Associative axiom of addition Inverse axiom of addition. Identity axiom of addition.

56 Solution

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