Equal Shares

Grade 2 ยท geometry ยท 95 practice problems ยท read aloud

๐Ÿ”Š Listen to this explanation

๐ŸŒŸ Equal Shares in Shapes

Equal shares mean splitting a shape into parts that are exactly the same size. It's how we make things fair when sharing a pizza, a cake, or a piece of paper!

How to Make Equal Shares

  1. Look at the whole shape. Is it a rectangle, a circle, or a square?
  2. Decide how many equal parts you need. Do you need halves (2 parts), thirds (3 parts), or fourths/quarters (4 parts)?
  3. Draw lines to split the shape. Make sure each part looks the same! The lines should be straight and go from one side to the other.
  4. Count the parts. Check that they are all equal in size.

Examples

Example 1: Halves

Let's split a rectangle into 2 equal shares.

โžก๏ธ Draw one line down the middle. โžก๏ธ Now you have 2 equal parts. Each part is called a half.

Example 2: Fourths (Quarters)

Let's split a square into 4 equal shares.

โžก๏ธ Draw one line down the middle and one line across the middle. โžก๏ธ Now you have 4 equal parts. Each part is called a fourth or a quarter.

โš ๏ธ Common Mistakes

  • Uneven parts: The shares are not the same size. Always check by looking carefully!
  • Wrong number of parts: If the problem asks for 3 equal shares, make sure you have 3 parts, not 2 or 4.
  • Crooked lines: Wiggly lines can make parts unequal. Try to draw straight lines.

๐Ÿ’ก Tips & Tricks

  • Think about food! Imagine you are sharing a cookie or a sandwich with friends.
  • Fold paper: You can fold a piece of paper to see where the lines should go for equal shares.
  • Halves = 2 parts, Fourths = 4 parts. Remember the number in the word!

How to Practice

  • Draw shapes on paper and split them into halves, thirds, and fourths.
  • Use play-doh or clay to make "cakes" and cut them into equal shares.
  • Look for things around your house that are divided into equal shares, like a waffle or a chocolate bar.

Practice problems

6 of the 95, worked through step by step โ€” try them before opening the answer.

1 A pizza is cut into 4 equal slices. What fraction is each slice?

Hint: Think about how many equal parts the pizza is divided into. Each part is one of those equal pieces.

Show the answer

Answer: 1/4

  1. The pizza is cut into 4 equal slices.
  2. When a whole is divided into 4 equal parts, each part is called one-fourth.
  3. One-fourth can be written as the fraction 1/4.

The answer is 1/4.

2 A circular cake is cut into 3 equal slices. What fraction is each slice?

Hint: Think about how many equal pieces the cake is divided into. Each piece is one of those equal parts.

Show the answer

Answer: 1/3

  1. The circular cake is divided into 3 equal slices.
  2. When a whole is divided into 3 equal parts, each part is called one-third.
  3. One-third can be written as the fraction 1/3.

The answer is 1/3.

3 A chocolate bar is divided into 2 equal pieces. What fraction is each piece?

Hint: Think about how many equal parts the chocolate bar is divided into. Each part is one of those equal pieces.

Show the answer

Answer: 1/2

  1. The chocolate bar is divided into 2 equal pieces.
  2. When a whole is divided into 2 equal parts, each part is called one-half.
  3. One-half can be written as the fraction 1/2.

The answer is 1/2.

4 A circular cake is divided into 4 equal slices. What fraction is each slice?

Hint: Think about how many equal pieces the cake is divided into. Each piece is one of those equal parts.

Show the answer

Answer: 1/4

  1. The circular cake is divided into 4 equal slices.
  2. When a whole is divided into 4 equal parts, each part is called one-fourth.
  3. One-fourth can be written as the fraction 1/4.

The answer is 1/4.

5 A circular cake is divided into 3 equal slices. What fraction is each slice?

Hint: Think about how many equal pieces the cake is divided into. Each piece represents one part of the whole.

Show the answer

Answer: 1/3

  1. The circular cake is divided into 3 equal slices.
  2. When a whole is divided into 3 equal parts, each part is called one-third.
  3. One-third can be written as the fraction 1/3.

The answer is 1/3.

6 Aroha cuts a circular cake into 3 equal slices. What fraction is each slice?

Hint: Think about how many equal pieces the whole cake is divided into. Each piece is one of those equal parts.

Show the answer

Answer: 1/3

  1. The circular cake is divided into 3 equal slices.
  2. When a whole is divided into 3 equal parts, each part is called one-third.
  3. One-third can be written as the fraction 1/3.

The answer is 1/3.

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