intro to algebra‐ unit 3

IntrotoAlgebra‐Unit3

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UNIT 3 CALENDAR INTRODUCTION TO ALGEBRA

Mon Tue Wed Thu Fri

October 30 2-1 Translating Math to Words and Words to Math HW 2-1 Day 1

October 31 2-1 Translating Math to Words and Words to Math HW 2-1 Day 2

November 1 2-1 Translating Math to Words and Words to Math HW NONE

November 4 2-2 Solving One-Step (+ or -) HW: 2-2

November 5 2-3 Solving One-Step (*) HW 2-3 Day 1

November 6 2-3 Solving One-Step (÷) HW 2-3 Day 2

November 7 2-3 Solving One-Step Fraction HW 2-3 Day 3

November 8 QUIZ 2-1 to 2-3 HW NONE

November 11 2-4 Solving Multi-step HW 2-4 Day 1

November 12 2-4 Solving Multi-step HW NONE



November 15 2-5 Solving Multi-Step Variables Both Sides HW NONE

November 18 2-5 Solving Multi-Step Variables Both Sides HW 2-5 Day 1

November 19 2-5 Solving Multi-Step Variables Both Sides HW 2-5 Day 2

November 20 2-5 Solving Multi-Step Variables Both Sides HW STUDY

November 21 QUIZ 2-4 to 2-5 HW NONE

November 22 Review HW Finish Study Guide

November 25 Review HW Study

November 26 Unit 3 Test HW NONE

November 27 Thanksgiving Math Activity HW NONE

Please remember these dates are all TENTATIVE, so they may change.

Online Help: http://www.algebra-class.com/solving-equations.html Games:

http://www.math-play.com/equation-games.html http://www.math-videos-online.com/solving-equations-games.html


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2-1 Translating Algebraic Expressions & Equations How can you change words into mathematical expressions/equations and vice versa?

Examples:

1. the sum of 4 times some number and 99 is 299

2. six more than twice a number is -20

3. eighteen is 6 less than 4 times a number

4. the quotient of a number and 5, increased by 8 is equal to 14

5. Suppose you are saving money to buy a scooter that costs $100. You have already saved $60 and plan to save $5 each week. How many weeks will you need to save?

You Try:

6. seven more than three times a number is 31

7. twice a number, increased by 5, equals -25

8. nine more than four times a number is 41

9. In a canned food drive, Sam collected 12 more cans than Louise. Together they collected 128 cans. How many cans did Sam collect?

Write a brief paragraph explaining how you would teach this topic to a classmate. ________________________

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How would you convince them that this is relevant to their life? _____________________________________

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If the directions didn’t tell you to write and solve an equation, how would you have solved it differently? _______

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Using Algebraic Equations and Expressions to find Perimeter and Area of Geometric Figures

Perimeter measures ____________________________________________________________________

Area measures ________________________________________________________________________

Ex 1) Suppose the sides of the rectangle were 6cm and 7cm, what would the perimeter be? The area?

Perimeter Area

Ex 2) Suppose the sides of the triangles were 5cm, 7cm, and 8 cm, what would the perimeter be? The area?

Perimeter Area

Suppose we do this again, but with the variables.

Ex 3) Suppose the length of the rectangle is 4 more than twice the width.

Write an algebraic expression to represent the width and the length.

Write an algebraic expression to represent the perimeter

Write an algebraic expression to represent the area.

Ex 4) Suppose the length of the rectangle is 4 more than twice the width.

Write an algebraic expression to represent the width and the length.

Write an algebraic expression to represent the perimeter

Write an algebraic expression to represent the area.


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2-2 Solving Equations by Adding or Subtracting How can you solve an equation by using addition or subtraction?

Inverse Operations: Examples: Equivalent Equations:

Are 74 x and 3x equivalent equations? Are 154 x and 4x equivalent equations?

Solve the following equations using addition or subtraction Examples: 1. 58 x 2. 1416 x 3. 143 y 4. 3484 r

You Try: 5. 34 x 6. 78 x 7. 81x 8. 725 y

Word Problem Practice: 9. Movie A earned $225 million at the box office. That is $38 million less than Movie B earned. Write and solve an equation to find the amount Movie B earned. 10. In 1903, the Wright brothers made the first flights in a power-driven airplane. Orville’s flight covered 120 feet, which was 732 feet shorter than Wilbur’s. Write and solve an equation to find the length of Wilbur Wright’s flight.


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2.3 Solving Equations by Multiplication or Division How do you solve an equation by multiplying or dividing?

Recall: What are inverse operations? What is the opposite of dividing by a fraction? Examples: 1. 123 x 2. 305 x 3. x756

4. 125

y

5. 6

11

n

6. 93

1k

You Try: 7. 488 a 8. 273 b 9. c1248

10. 94

y

11. 4

7x

12. 85

1y


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2.4 -2.5 Solving Multi-Step Equations How do you write and solve Multi-step equations?

When possible, always start a two-step equation by

___________________________ first

Examples: 1. 1325 x

2. 85

3 n

3. 104 x 4. 1883 bb 5. 1343 y

You Try:

6. 116

4 n

7. 1743 x 8. 75 x 9. 4735 mm 10. 1120 z


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intro to algebra‐ unit 3

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