1. 5-5 6 th grade math Solving Addition and Subtraction Equations

2. Objectives To solve equations involving fractions and mixed numbers. Why? To be able to solve more complicated equations... The stepping stones to solving Algebra problems.

3. California State Standards AF 1.1 : Write and solve one-step linear equations in one variable. NS 2.0 : Calculate and solve problems involving addition, subtraction, … NS 2.1: Solve problems involving addition, subtraction, … of positive fractions and explain why a particular operation was used for a given situation.

4. Vocabulary Equations – A number sentence stating that two expressions are equal. X – 26 = 85 *4x = 16 W + 41.8 = 55.9 * v/6 = 3.6 Variables – A letter used to stand for a number in an expression or equation. 45 + x = 67 Inverse Operations – Two operations with an opposite effect. Addition and subtraction are inverse operations. Multiplication and division are inverse operations. 256x = 1024 256 ÷ 256 x = 1024 ÷ 256 x = 4

5. How to Solve Addition Equations ½ + x = ¾ 1.Undo the addition by subtracting (½) from both sides 2.Write the fractions with their LCD 3.Solve 4.Simplify, if possible ½ + x = ¾ 1.½ - ½ + x = ¾ - ½ 2.X = ¾ - 2/4 3.X = 1/4

6. How to Solve Subtraction Equations m – 3  = 18 3/5 1.Undo the subtraction by addition (3 2/3) from both sides 2.Write the fractions with their LCD 3.Solve 4.Simplify, if possible m – 3  = 18 3/5 1.m – 3  + 3  = 18 3/5 + 3  2.M = 18 9 15 3 10 + 15 21 19/15 = 22 4/15

7. Try It! 1. n + 3/5 = 1 2.2  = x + 2 1/18 3.a – 5/6 = 1/16 4.y + 2 1/18 = 3 ¼ 1.n = 2/5 2.x = 5/18 3.a = 43/48 4.y = 1 7/36

8. Here’s How It Works… 1. n + 3/5 = 1 2.2  = x + 2 1/18 1) n + 3/5 – 3/5 = 1 – 3/5 5/5 – 3/5 = 2/5 2)x + 2 1/18 – 2 1/18= 2  - 2 1/18 x = 2 6/18 - 2 1/18 x = 5/18 

9. 3) a – 5/6 = 1/16 4) y + 2 1/18 = 3 ¼ 3)a – 5/6 + 5/6 = 1/16 + 5/6 a = 3/48 + 40/48 a = 43/48 4) y + 2 1/18 – 2 1/18 = 3 ¼ - 1/18 y = 3 9/36 – 2 2/36 y = 1 7/36

10. Objectives Review To solve equations involving fractions and mixed numbers. Why? You can solve more complicated equations... These are the stepping stones to solving Algebra problems (your future career in education).

11. Independent Practice Complete problems 6-11 Copy original problem first. Show ALL work! If time, complete Mixed Review: 12-18. If still more time, work on Accelerated Math