Standards addressed in this unit:

Unit 4 Linear Equations, Inequalities and Functions Standards addressed in this unit: 1. Solve equations and inequalities arising from a context 2. Solve equations and inequalities using algebraic manipulations (More to come!)

General Math Unit 4 Day 1 Learning Targets I can solve equations arising from a context by first drawing a model and then writing an equation to represent the context. Mathematical Practices Make sense of problems and persevere in solving them Model with mathematics

Warm Up U4D1 Simplify 3x 4y 2 3

Concept Review U4D1

Modeling U4D1 Draw a model and solve Stella has $11 more than Roland. Together they have $159. How much money does Stella have? How much money does Roland have?

Modeling U4D1 Draw a model and solve Jared has twice as many DVDs as Eric. Together they have 51 DVDs. How many DVDs does Jared have? How many DVDs does Eric have?

Modeling U4D1 Draw a model and solve The sum of three consecutive integers is 405. What are the three numbers?

Modeling U4D1 Draw a model and solve For your birthday you received ten collectable Unicorns from a set of 100. If you use your allowance you can buy 2 more Unicorns every week. How many weeks until you have collected all 100?

Modeling U4D1 YOU TRY! Draw a model and solve A corn plant was 4 inches tall. It grew 1.5 inches a day and is now 22 inches tall. How many days did it take?

Independent Practice U4D1 U4D1 ICP Do all BASIC PRACTICE The odd problems in FURTHER PRACTICE Pick two from MATH WORK Pick one from BRAIN WORKS

General Math Unit 4 Day 2 U4D2 Learning Targets I can solve equations using algebraic manipulation Mathematical Practices Make sense of problems and persevere in solving them Model with mathematics

Bell Work U4D2 Get out U4D1 ICP, make sure it is complete. Circle any problems you want to go over.

Warm Up U4D2 Kylie is addressing invitations to her party. She has already addressed 17 of them. She finishes the rest of them in 4 hours. If she addressed a total of 81 invitations, how many invitations did she address per hour?

Warm Up U4D2

Solving Equations Using Algebra U4D2 When we solve an equation using algebra, we want to undo the operations on the unknown in order to find out what it is. Remember! Keep the equation balanced by doing the same thing on both sides!!! Example: Solve 3x 48 Explain the opposite of multiplication is division, etc

Solving Equations Using Algebra U4D2 Solve each equation 1. 2y 68 2. 39 w 20 3. 32 p 2 Do first problem with class, have students do 2 & 3.

Solving Two-Step Equations U4D2 What s the first step in solving this equation? Why? How about this one? Why? p 8 2 10

Solving Two-Step Equations U4D2 Solve each equation 1. p 3 6 8 2. 6y 9 30 3 3. a 10 3 4 Do first problem with class, have students do 2 & 3.

Solving Multi-Step Equations U4D2 Let s discuss the Distributive Property for a moment The Distributive Property says a( b c) Simplify 2( x 3)

Solving Equations with the Distributive Property U4D2 What should we do first to solve this equation? Why? 5(2x 1) 15 Explain we need both sides of equation as simplified as possible to make solving easier

Solving Equations with the Distributive Property U4D2 1. 3( x 4) 15 Solve each equation 2. 7( x 4) 21 3. 5x 5( 2x 4) 10

Independent Practice U4D2 U4D2 - ICP

General Math U4D3 Learning Targets: Solve Equations arising from a context. Solve equations using algebraic manipulation.

U4D3 Warm Up Do these problems on your participation page: 1. Simplify 2x 3 4xy 2 + 17x 2 2x 2 y 2. Simplify 2p 4 8q 2 2 3. Draw a model and solve: You and your friend have $29 for movies and snacks this weekend. You have $7 less than your friend. How much money do you each have?

U4D3 Solving Equations Follow these steps: Step 1: Simplify both sides of the equation This means getting rid of parentheses and combining like terms Step 2: Get your variable alone using the reverse of PEMDAS

U4D3

U4D3 Solving Equations Follow these steps: Step 1: Simplify both sides of the equation. This means getting rid of parentheses and combining like terms IF YOU HAVE VARIABLES ON BOTH SIDES, NEXT: Step 2: Get all variables to one side of equation. Step 3: Get your variable alone.

U4D3

U4D3 Next Up! Writing equations arising from a context! Whoopee!

U4D3 WORDS THAT MEAN ADDITION SUM MORE THAN PLUS ADDED TO INCREASED BY IN ALL TOTAL

U4D3 WORDS THAT MEAN SUBTRACTION MINUS LESS THAN DECREASED BY DIFFERENCE BETWEEN HOW MANY FEWER

U4D3 WORDS THAT MEAN MULTIPLICATION TIMES OF TWICE PRODUCT OF IN EACH FOR EVERY

U4D3 WORDS THAT MEAN DIVISION QUOTIENT RATIO OF HOW MANY TIMES INTO HOW MANY HOW MUCH DID EACH

U4D3 WORDS THAT MEAN EQUAL IS THE SAME AS EQUIVALENT

Write an equation and solve. Draw a model if necessary. U4D3 Two more than twice a number is 77. Find the number.

Write an equation and solve. Draw a model if necessary. U4D3 The length of a rectangle is 50 meters. This is 6 meters more than twice the width. Find the width of the rectangle.

Write an equation and solve. Draw a model if necessary. U4D3 Nine less than one-fourth of a number is 6. Find the number

You Try! U4D3 Write an equation and solve. Draw a model if necessary. Twelve decreased by 8 times a number is 36. Find the number.