1. Unit 2 – 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!)

2. Math 8C Unit 2 – 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

3. Warm Up U2D1 Simplify

4. U2D1 Concept Review

5. U2D1

6. Concept Review

7. Must do: The sum of two integers is -42. One integer is 12. Find the other integer. Say the sum of 4 consecutive positive integers is 38. What are the digits? Challenge: Carlos begins with twice as much money as David. After Carlos gives $12 to David, Carlos still has $10 more than David. How much money did they have combined at the start?

8. U2D1 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

9. U2D1 Draw a model and solve Modeling 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?

10. U2D1 Draw a model and solve Modeling 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?

11. U2D1 Draw a model and solve Modeling The sum of three consecutive integers is 405. What are the three numbers?

12. U2D1 YOU TRY! Draw a model and solve Modeling 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?

13. U2D1 U2D1 – ICP Independent Practice

14. Math 8C Unit 2 – Day 2 Learning Targets I can solve equations using algebraic manipulation Mathematical Practices Make sense of problems and persevere in solving them Model with mathematics U2D2

15. Bell Work Get out U2D1 – ICP, make sure it is complete. Circle any problems you want to go over. U2D2

16. Warm Up 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? U2D2

17. Warm Up U2D2

18. Must do: 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? 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? Challenge: One kind of candy (jelly) sells for $5 a pound and another (chocolate) for $10 a pound. How many pounds of each should be used to make a mixture of 10 pounds of candy (both kinds) that sells for $80?

19. Solving Equations using Algebra Steps: 1.Optional: Make a dotted line down the middle of the equal sign 2.Get all variables to one side, all constants to the other. 3.Get variable alone by multiplying or dividing.

20. Solving Equations Using Algebra 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 U2D2 Explain the opposite of multiplication is division, etc…

21. Solving Equations Using Algebra Solve each equation 1.3. 2. U2D2 Do first problem with class, have students do 2 & 3.

22. Solving Two-Step Equations What’s the first step in solving this equation? Why? How about this one? Why? U2D2

23. Solving Two-Step Equations Solve each equation 1. 2. 3. U2D2 Do first problem with class, have students do 2 & 3.

24. Solving Multi-Step Equations Let’s discuss the Distributive Property for a moment… The Distributive Property says Simplify U2D2

25. Solving Equations with the Distributive Property What should we do first to solve this equation? Why? U2D2 Explain we need both sides of equation as simplified as possible to make solving easier…

26. Solving Equations with the Distributive Property Solve each equation 1. 2. 3. U2D2

27. Independent Practice U2D2 - ICP U2D2