Mathematics Grade 2 15 min

Perimeter, area and volumes: changes in scale

Perimeter, area and volumes: changes in scale

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Introduction & Learning Objectives

Learning Objectives Identify the outside edge of a shape as its perimeter. Describe the inside space of a shape as its area. Explain that volume is the space something takes up. Predict if a shape will get bigger or smaller when its scale changes. Count blocks to see how area changes when a shape gets bigger. Make a good guess (probability) about which box can hold more toys. What if your favorite teddy bear 🧸 suddenly grew twice as big? Would it still fit in your toy box? 🤔 Today, we will learn about making shapes bigger and smaller! We will see how the edges and space inside change. This helps us make good guesses about where things can fit. Real-World Applications Choosing the right size box for a present 🎁 Knowing if a big cookie has more chocolate chips 🍪 B...
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Key Concepts & Vocabulary

TermDefinitionExample PerimeterPerimeter is the walk all the way around the outside of a shape. It is like a fence. 🚶‍♀️If a square garden has 4 sides, the perimeter is the fence going around all 4 sides. AreaArea is the flat space inside a shape. It is like a carpet that covers the floor. 🟧The area of your bedroom is all the floor space where you can play with your toys. VolumeVolume is how much space something can hold inside. It is like filling a cup with juice. 🧃The volume of a toy box is all the space inside for your toys. Scale UpTo scale up means to make something bigger in a special way. Every part gets bigger. ✨A baby picture of you is smaller. A school picture of you now is scaled up! Scale DownTo scale down means to make something smaller in a special way. Every part gets s...
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Core Formulas

The Growing Edge Pattern Side Length \times 2 \rightarrow Perimeter \times 2 When we make the side of a square twice as long, the walk around it (perimeter) also gets twice as long. The Super Space Pattern Side Length \times 2 \rightarrow Area \times 4 When we make the side of a square twice as long, the space inside (area) gets four times bigger! It's super space!

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Sample Practice Questions

Challenging
A game board is a 4x4 grid (16 squares total). You win if your beanbag lands on a red square. Game 1 has one big 2x2 red square. Game 2 has four small 1x1 red squares scattered around. Which game gives you a better chance to win?
A.Game 1
B.Game 2
C.The chance is the same
D.You will always lose
Challenging
You have a tower made of 8 small blocks (it is 2 blocks long, 2 wide, and 2 high). You break it apart and rebuild it into a new tower that is only 1 block wide and 1 block long. How tall will the new tower be? 🏙️
A.2 blocks tall
B.4 blocks tall
C.6 blocks tall
D.8 blocks tall
Challenging
There are 3 boxes in a room. Box A has a volume of 2 cubes. Box B is twice the volume of A. Box C is twice the volume of B. If you were to guess the volume of a random box, what would be a good 'middle' guess for the volume?
A.2 cubes
B.4 cubes
C.6 cubes
D.8 cubes

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