The activities here offer you a chance to reflect about what you have learned during this chapter.

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1 The activities here offer you a chance to reflect about what you have learned during this chapter. As you work, look for concepts that you feel very comfortable with, ideas that you would like to learn more about, and topics you need more help with. CPM Materials modified by Mr. Deyo

2 Title: IM8 Ch. 6 Closure What Have I Learned? Date: Learning Target By the end of the period, I will apply different problem solving strategies and relect on what I have learned in this chapter. I will demonstrate this by completing Four Square notes and by solving problems in a pair/group activity.

3 Home Work: Ch. 6 Closure Desc. Date Due What Have I Learned? 9 Problems CL through 6 118

5 congruent Chapter 6 Vocabulary enlarge conjecture linear equation corresponding parts point of intersection dilation reduce

6 Chapter 6 Vocabulary (Continued) reflection similar figures rigid transformation systems of equations rotation translation scale factor y intercept

8 SUMMARIZING MY UNDERSTANDING WHAT HAVE I LEARNED? This section gives you an opportunity to show what you know about certain math topics or ideas. Your teacher will give you specific directions for exactly how to do this and will provide you with instructions about how to summarize your understanding of transformations and undoing transformations. In this activity, you will use a triangle to review transformations. Predict and Order: Predict how each transformation will change or move the shape. Select an order for the four transformations and predict what the new coordinates of the vertices will be after each step. Apply Transformations: Follow the transformation steps you described on the graph. Use color and written descriptions to show how each transformation alters the shape and its position on the coordinate graph. Check that the coordinates you predicted were correct.

9 SUMMARIZING MY UNDERSTANDING: What Have I Learned? This section gives you an opportunity to show what you know about certain math topics or ideas. Your teacher will give you specific directions for exactly how to do this and will provide you with instructions about how to summarize your understanding of transformations and undoing transformations. In this activity, you will use a triangle to review transformations. Predict and Order: Predict how each transformation will change or move the shape. Select an order for the four transformations and predict what the new coordinates of the vertices will be after each step. Apply Transformations: Follow the transformation steps you described on the graph. Use color and written descriptions to show how each transformation alters the shape and its position on the coordinate graph. Check that the coordinates you predicted were correct. Tracy Triangle s Transformative Travels 1) Add 5 to each x coordinate. 2) Multiply each y coordinate by 1. 3) Multiply each coordinate by 2. 4) Add 8 and then 3 to each x coordinate. 5) Add 9 and 4 to each y coordinate.

10 SUMMARIZING MY UNDERSTANDING: What Have I Learned? Undo Transformations: To get the triangle back to the original position, undo your transformations. You may choose to undo each transformation step or to find a new series of steps to return the shape to its original position. Using color, symbols, and written descriptions, show how each transformation changes the shape s size and position on the coordinate graph. Tracy Triangle s Transformative Travels 1) Add 5 to each x coordinate. 2) Multiply each y coordinate by 1. 3) Multiply each coordinate by 2. 4) Add 8 and then 3 to each x coordinate. 5) Add 9 and 4 to each y coordinate. UNDO Transformative Travels 1) 2) UNDO Transformative Travels 3) 4) 5)

11 CL Priscilla and Ursula went fishing. Priscilla brought a full box of 32 worms and used one worm every minute. Ursula brought a box with five worms and decided to dig for more before she began fishing. Ursula dug up two worms per minute. When did Priscilla and Ursula have the same number of worms? Show how you know. Write an expression that represents each person. Set the expressions equal to each other. Solve the problem. Show your work. Priscilla Ursula Priscilla and Ursula have the same number of worms when

12 CL You will need a second graph for List II. Complete each list of transformation steps you could use to move triangle B back to where it started at position A, and show each transformation on your graph. List I 1. Rotate triangle B 180 about point ( 1, 1) List II 1. Reflect triangle B across the y axis

13 CL Neatly graph the points ( 2,9), ( 3,7) and ( 5,10) on a four quadrant graph. Connect them to make a triangle. Then, for each transformation described below: Write and simplify an expression to find the new coordinates. Check your answer on your graph. a) Slide the triangle right 4 units and down 6 units. b) Reflect the triangle across the y axis.

14 CL CL The shapes here are similar. a. What is the scale factor? b. Find the sides labeled x and y. x = y =

15 CL As Khan and Jorman practice for college entrance tests, their scores increase. Khan s current score is 750 and is rising 8 points per week. Jorman s current score is 650 but is growing by 30 points per week. Write an equation or system of equations to determine when Jorman will catch up with Kahn. Be sure to define your variable(s). Khan Jorman Jorman will catch up with Kahn at week.

16 CL Solve each equation. a) 3(2 + x) = 4 (x 2) b) x x 3 x = + 3

CL 6 116. Samantha is dilating triangle ABC below. She multiplied each x coordinate and y coordinate of triangle ABC by 2.

17 CL Samantha is dilating triangle ABC below. She multiplied each x coordinate and y coordinate of triangle ABC by 2. a) Graph Samantha s new triangle. A ( 3, 2) B ( 2, 2) C (1, 2) A'(, ) B'(, ) C'(, ) b) Describe how triangle ABC changed.

18 CL A trapezoid has a perimeter of 117 cm. The two shortest sides have the same length. The third side is 12 cm longer than one short side. The final side is 9 cm less than three times one short side. How long is each side of the trapezoid? Define a variable and write an equation to represent this problem. Solve your equation and write your answer in a complete sentence.

19 CL 6 118a For each of the previous problems (CL6 110 to CL6 117), do the following: Color or shade in a portion of the bar that represents your level of understanding and comfort with completing that problem on your own. CL CL CL CL CL CL CL CL 6 117

20 CL 6 118b If any of your bars are less than a 5, choose one of those problems and complete one of the following tasks: Which problem did you choose? CL 6 Write two questions that you would like to ask about that problem. 1) 2)? Brainstorm two things that you DO know about that type of problem. 1)? 2)

21 CL 6 118c If any of your bars are 5 or above, choose one of those problems and do one of these tasks: Which problem did you choose? CL 6 Write two questions you might ask or hints you might give to a student who was stuck on the problem. 1) 2) Make a new problem that is similar and more challenging than that problem and solve it.??

22 WHAT TOOLS CAN I USE? You have several tools and references available to help support your learning your teacher, your study team, your math book, and your Toolkit, to name only a few. At the end of each chapter you will have an opportunity to review your Toolkit for completeness as well as to revise or update it to better reflect your current understanding of big ideas. The main elements of your Toolkit should be your Learning Logs, Math Notes, and the vocabulary used in this chapter. Math words that are new to this chapter appear in bold in the text. Refer to the lists provided below and follow your teacher s instructions to revise your Toolkit, which will help make it a useful reference for you as you complete this chapter and prepare to begin the next one. Learning Log Entries Math Notes Lesson Rigid Transformations Lesson Dilations Lesson Finding Similar Shapes Lesson Finding Missing Sides of Similar Shapes Lesson Rigid Transformations Lesson Corresponding Parts of Similar Shapes Lesson Scale Factor

23 congruent Chapter 6 Vocabulary enlarge conjecture linear equation corresponding parts point of intersection dilation reduce

24 Chapter 6 Vocabulary (Continued) reflection similar figures rigid transformation systems of equations rotation translation scale factor y intercept

25 coefficient Chapter 5 Vocabulary equivalent constant term Fraction Buster Method counterexample growth factor Equal Values Method linear equation

26 Chapter 5 Vocabulary (Continued) point of intersection term solution variable standard form y intercept system of equations y = mx + b form

27 Chapter 4 Vocabulary Review graph solution growth factor tile pattern parabola variable parameter x y table rule y intercept

28 Chapter 3 Vocabulary Review Combining Like Terms Order of Operations Continuous Graph Dependent Variable Discrete Distributive Property Evaluate Independent Variable Parabola Solution Term Variable Vertex x intercepts y intercepts

29 Chapter 2 Vocabulary Review Additive Identity Evaluate Additive Inverse Associative Property Combining Like Terms Commutative Property Equation Expression Multiplicative Identity Order of Operations Term Variable

30 Chapter 1 Vocabulary Review 5 D Process D D D D D area box plot coordinates dependent variable histogram independent variable integer input mean median ordered pair origin output perimeter proportion proportional relationship quadrant stem and leaf plot unit rate variable x axis y axis

Is there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified by Mr.

Common Core Standard: 8.G.3 Is there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified by Mr. Deyo Title: IM8 Ch. 6.2.1 What