Welcome to Pre-Algebra Tuesday: Quarter 2 ..Week 2

1. Please have your homework and weekly assignment sheet from last week on your desk and write your homework in your agenda book for the week.

2. Discuss Application 13. Turn in weekly assignment sheet from last week4. Investigation 2

• 2.1 Drawing Wumps

3. Tonight’s Assignment• Draw all 5: Mug, Zug, Lug, Bug and Thug

Investigation 2Investigation 2

Similar Figures

ScenarioScenario

Zack and Marta wanted to design a computer game that involved several animated characters. Marta asked her uncle Carlos, a programmer for a video game company, about computer animation. Carlos explained that the computer screen can be thought of as a grid made up of thousands of tiny points called pixels. To animate figures, you need to enter the coordinates of key points on the figure. The computer uses these points to draw the figure in different positions.

Marta told her uncle that sometimes the figures in their game would need to change size. Her uncle explained that a computer can make figures larger and smaller if you give it a rule for finding the key points in the new figure from key points in the original figure.

2.1 Drawing Wumps2.1 Drawing WumpsZack and Marta’s

computer game involves a family called the Wumps. The members of the Wump family are various sizes, but they all have the same shape. Mug Wump is the game’s main character. By enlarging or reducing Mug, a player can transform him into other Wump family members.

2.1 Drawing Wumps2.1 Drawing Wumps

Zack and Marta experimented on paper with enlarging and reducing figures on a coordinate grid. First, Zack drew Mug Wump on dot paper. Then, he labeled the key points from A to Z and from AA to FF and listed the coordinates for each point. Marta described the rules that would transform Mug into different sizes to create other members of the Wump family.

2.1 Instructions for Drawing 2.1 Instructions for Drawing WumpsWumps

To draw Zug, Lug, Bug, and Thug, use the given rule to find the coordinates of each point. For example, the rule for finding the points for Zug is (2x, 2y). So multiply each of Mug’s coordinates by 2 to get the coordinates for Zug.

Mug (x, y)

Zug (2x, 2y)

Lug(3x, y)

Bug(3x, 3y)

Thug(x, 3y)

(2, 0)

(2, 4)

(0, 4)

Complete chart…

Complete chart…

2.1 Instructions for Drawing 2.1 Instructions for Drawing WumpsWumpsUse Lab sheets 2.1A and 2.1B to

draw the Wump family.Draw Mug Wump first by plotting

the points of Set 1. Connect the points in each set in order as you plot them. Next plot and connect the points in Set 2, then Set 3. For Set 4, make a dot at each point- don’t connect them.

Label your drawing Mug.

How to plot points…

Warm-up: WednesdayMug(x, y)

Thug(2x, 3y)

Lug( )

(2, 4)

(6, 12)

(10, 14)

Quarter 2:Week 2

yx2

1,

2

1• Complete the table…

Welcome to Pre-Algebra! Wednesday.

1. Please have your homework( 5 drawings: Mug, Zug, Lug, Bug, and Thug) on your desk and get started on your warm up.

2. Discuss and look at 5 drawings

3. Please get out your journal– Problem 2.1

4. Class discussion on Problem 2.15. Homework

– Follow up 2.1

Problem 2.1Problem 2.1Lurking among the members of the Wump

familyare some imposters who, at first glance, look

likethe Wumps but are actually quite different. In

yourjournal:

Describe Mug’s shape.

Compare the other four characters to Mug. Who are the imposters?

What things are the same about Mug and Zug? Mug and Lug? Mug and Bug? Mug and Thug? What things are different? Think about the general shape, the lengths of sides, and the angles of each figure.

Follow up 2.1Follow up 2.11. In Mathematics, we say that figures

like Mug and Zug (but not Mug and Lug) are similar. What do you think it means for two figures to be mathematically similar?

2. The members of the wump family are all similar. How do their corresponding sides compare? How do their corresponding angles compare?

Warm-up Wednesday

Use the rectangle to answer the questions.

Quarter 2: Week 2

4

1. Give the length and width of a rectangle that is an enlargement of the given rectangle.

2. Give the length and width of a rectangle that is not an enlargement of the given rectangle.

3. Write the formula for area of a rectangle.

3

Welcome to Pre-Algebra! Today is Thursday.

1. Please have your homework (follow up 2.1) on your desk and get started on your warm up.

2. Discuss Follow up 2.1

3. Please get out your spiral notebooks Intro 2.2

Nosing Around

Follow up 2.1Follow up 2.11. In Mathematics, we say that figures

like Mug and Zug (but not Mug and Lug) are similar. What do you think it means for two figures to be mathematically similar?

2. The members of the wump family are all similar. How do their corresponding sides compare? How do their corresponding angles compare?

All the members of the Wump family have the same angle measures. Is having the same angle measure enough to make two figures similar?

All rectangles have four right angles.◦ Are all rectangles similar?◦ What about these two rectangles?

In this problem, you will investigate rectangles more closely to try to figure out what else is necessary for two rectangles to be similar.

You will compare side lengths, angle measures, and perimeters.

How does Zug’s nose compare with Mug’s nose?

How many of Mug’s noses can you put in Zug’s nose?

One way to compare two quantities is to form a ratio. For example, Mug Wump’s nose is 1 unit wide and 2 units long. To compare the width to the length, we can use the ratio 1 to 2, which can also be written as the fraction

2

1

2

1

Warm-up: Thursday

• Draw any rectangle that is not a square. Then draw a rectangle with side lengths that are twice the side lengths of the original rectangle.

1.How many copies of the smaller rectangle will fit inside the larger rectangle?

2.Will you get the same answer for part a no matter what side lengths you choose for the original rectangle?

Quarter 2: Week 2

Welcome to Pre-Algebra! Today is Friday

1. Please get started on your warm up.

2. Discuss Problem 2.2

3. Work on follow up 2.2

Welcome to Pre Algebra Honors! Today is Friday

1. Please have your Follow up 2.2 and weekly assignment sheet on your desk to be checked.

2. Discuss follow up 2.2 with a red pen

3. Turn in Packets

4. Graphing Sheet