Math CC 78 Oct 16 Things Needed Today

Math CC 7/8 – Oct. 16 Things Needed Today (TNT) q. Pencil/Math Notebook q. Labsheets…located on table Math Notebook 1. Topic: Similar Figures 2. HW: Finish Graphing the Wump Family. . Labsheet 2. 1 -2. 2

What’s Happening? q. Warm Up q. S&S 2. 1 -2. 2! q. Begin HW?

Warm-Up Answer the following questions in your math notebook Give 5 names for this angle. T P R A ∠A ∠RAT ∠PAT ∠TAP ∠TAR

Similar Figures Questions How can you determine if 2 shapes are similar by looking at the rule for producing specific coordinates for the image?

Zach & Marta want to design a computer game that involve several animated characters. They ask Marta’s uncle, Carlos, a programmer for a video game company, about computer animation. Carlos explains that the computer screen can be thought of as a grid made up of 1000 s of tiny pts called pixels. To animate a figure, you need to enter the coordinates of key points on the figure. The computer uses these points to draw the figure in different positions.

Drawing Wumps Making Similar Figures Introducing the World Famous Wump Zach & Marta’s computer game involved a family called Family!!!! the Wumps. The members of the Wump family are various sizes, BUT they all have the same shape. In other words, they are Mathematically SIMILAR. Mug Wump is the game’s main character. By enlarging or reducing Mug, a player can transform him into other Wump family members. Zach & Marta experiment with enlarging and reducing figures on a coordinate grid. 1 st, Zack draws Mug Wump on graph paper. Then, he labels the key points from A to X and list the coordinates for each point. Marta will write the rules that change Mug’s size.

Let’s Look at Lesson 2. 1… Labsheet 2. 1 (Graph Mug) q Analyze the Rule… q How did they come up with the points (0, 2) and (4, 2) (0, 1) (0, 3) for Zug? (6, 3) (6, 1) (2, 3) q What would the first 2 points be for Lug? Bug? Glug? Fill in your chart on the back of the

Here’s Mug Wump!!!! Hi everyone! I am Mug Wump and I need your help! Please find the imposters in my “family”!

Check your answers to the table. . Labsheet 2. 1

Im po st er Summarizing Lesson 2. 1… Which are similar to Mug? Pay attention to the scale… Im po st er Discuss with your partner q. Who belongs to Mug’s family? q. Who are the imposters? q. How do you know? Yeah…Zug and Bug are members of the Wump Family!!!

Lesson 2. 2 Question What types of coordinate rules produce similar figures? Non-similar figures? For a pair of similar figures, how can you use a coordinate rule to predict the side lengths of the image?

Hats off to the Wumps Changing a Figure’s Size & Location Zach experiments with multiplying Mug’s coordinates by different whole numbers to make other characters. Marta asks her Uncle Carlos how multiplying the coordinates by a decimal or adding numbers or subtracting numbers from each coordinate will affect Mug’s shape. He gives her a sketch for a new shape(a cool hat to disguise Mug) and some rules to try. q Which rules will produce similar hats? q How can you use a rule to predict side lengths of the image?

Look at the rules for Hats #1 to #5 in the table below. Before you find any coordinates, predict how each rule will Mug’s hat. A Discuss with your partner

Complete the labsheet for 2. 2. Finish for HW! 1) Give the coordinates of Mug’s hat and the five other hats. 2) Plot each new hat on a separate coordinate grid and connect each point as you go. Plot Mug’s hat and hat #1. You WILL finish the others for homework!

Work on labsheet for 2. 2…

Now compare the angles and side lengths of the hats. Which hats are mathematically similar to Mug’s hat? How do you know?

Compare the angles and side lengths of the hats Hats 1 & 2 – Angles and side measure are exactly the same as Mug’s Hat – location on grid changed! Hat 3 – same width as Mug’s, but its height is 3 times as long, and the bottom angles have larger measures Hat 4 – the width and height are half as long as Mug’s hat, but the corresponding angles are the same Hat 5 – the width is 2 times as long, the height is 3 times as long, and it has larger

Which hats are similar to Mug’s hat? Explain why. Hat 1, 2, and 4 are similar to Mug’s Hat. • Same shape • Same corresponding angles • All Sides have been multiplied by the

Write rules that will make hats similar to Mug’s in each of these ways. 1) The side lengths are one third as long as Mug’s. 2) The side lengths are 1. 5 times as long as Mug’s. 3) The hat is the same size as Mug’s, but has moved right 1 unit & up 5 units.

Homework Finish Graphing the Wump Family & Hats. . Labsheet 2. 1 -2. 2