1. Redbook Online Table of contents

2. Effective Steps Strategies Draw a model Organize a Table Find a Pattern Algebra Equations Use Equal Ratios Table of contents Effective Steps Strategies Draw a model Organize a Table Find a Pattern Algebra Equations Use Equal Ratios

3. Effective Steps / Think on Paper / Start With What You Know / One Step at a Time / Understand the Question / Label your numbers / Think on Paper / Start With What You Know / One Step at a Time / Understand the Question / Label your numbers

4. Strategies: Draw a Model / Use models such as pictures, timelines, number lines, shapes and graphs to solve the problem. / Example: how many line segments must be added to make this a prism? / Click here for answer Click here for answer / Use models such as pictures, timelines, number lines, shapes and graphs to solve the problem. / Example: how many line segments must be added to make this a prism? / Click here for answer Click here for answer

5. Blue: work Black: original 8 On your own

6. 1. If the sides of an equilateral triangle were doubled in length what would happen to the area?

7. Strategies: Organize a Table / Use charts or grids to make the problem simpler. / Example: how many rectangles are in the drawing? / 1) / Use charts or grids to make the problem simpler. / Example: how many rectangles are in the drawing? / 1) Click here for the answer

8. SizeNumber of Small3 Medium2 Large1 small medium large On your own

9. 1. If I have enough coins to pay the exact price for any item from one cent to and including one dollar, what is the fewest coins I could have in my pocket? What type are they?

10. Strategies: Find a Pattern / Check all of the possible functions / Example: What is the rule for this table? / Check all of the possible functions / Example: What is the rule for this table? xy 45 1718 2122

11. xy 45 1718 2122 +1 + 13 +4 Right: blue Wrong: Red Why is red wrong? It goes up at an unsteady pace. + 13 +4 +1 Why is Blue right? It goes up at a steady pace. On your own

12. 1. These are the first four triangular numbers, what is the tenth one? * * * * * * * * * * * *

13. Algebra Equations Contents: Simple Equations (Parenthesis) Simple Equations, On Your Own Parenthesis, On Your Own

14. How to Solve 3x+4=13-4 3x=9 3 x=3 4x-5=15 +5 4x=20 4 x=5 Divide Eliminate numbers without a variable(x). 3x+4=13 On your own Algebra equations

15. On Your Own 1. 4x+6=422. 9x+14=32 3. 5x+2=12 4. 6x+5=41 5. 7x-3=116. 3x-9=3 7. 5x-4=218. 9x-5=13 Answer Key Algebra equations

16. ( Parenthesis ) 4(x+5)=32 4x+20=32 -20 4x=12 4 x=3 3(x-4)=12 3x-12=12 +12 3x=24 3 x=8 Multiply to everything inside parenthesis. Get rid of numbers without a variable Divide On your own Algebra equations

17. On Your Own(Parenthesis) 1. 3(x+5)=27 3. 5(x+7)=70 2. 9(x+2)=81 4. 5(x-6)=15 5. 4(x-4)=246. 2(-9+x)=42 Answer Key Algebra equations

18. Strategies: Use Equal Ratios / To make problems simpler use equal ratios. / When using these start with what you know / You can cross multiply or use the arrows method to figure out the variable. / Example: 1)solve for x: X = _6_ 16 192 / To make problems simpler use equal ratios. / When using these start with what you know / You can cross multiply or use the arrows method to figure out the variable. / Example: 1)solve for x: X = _6_ 16 192 Click here for answer by cross multiplying Click here for arrows method

19. Cross multiply X = 6 16 192 192x=96 or 192*X=6*16 2nd divide 192x=96 192 1st 3rd answer X=1/2 On your own

20. Arrows method X = 6 16 192 ? 192 / 12 = 16 1st2nd X = 6 16 192 6 / 12 = 1/2 3rd answer: X = 1/2