Unit 7: Ratios, Percentages, and Proportional Reasoning

Day 25 of 30

Solve simple proportions

K-2Mathematics

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Learning Objective

I can solve simple proportions.

Today's Lesson

Today we will learn how to solve simple proportions. Math helps us solve problems and understand the world around us.

A proportion is an equation that shows two ratios are equal. For example: 1/2 = 2/4 is a proportion. If you know three parts of a proportion, you can find the fourth by cross-multiplying. Proportions are useful for scaling recipes, reading maps, and solving problems about similar shapes. They help us maintain the same relationship between quantities when we change the size.

Let's break this down step by step so it's easy to understand. Follow along with the examples, and don't worry if it takes some practice to get the hang of it!

Remember: Making mistakes is part of learning. If something is tricky, try again, look at the examples, or ask for help.

Key Terms
Problem

A question we need to solve

Solution

The answer to a problem

Activities
Instructions
1. Use objects or pictures to explore solve simple proportions. 2. Try the examples together. 3. Solve practice problems. 4. Check your work.
Materials Needed
  • Counters or objects
  • Pencil
  • Practice sheet
Practice Problems
1

The ratio of boys to girls is 3:5. If there are 6 boys, how many girls are there?

Hint: Set up a proportion: 3/5 = 6/x
2

Express the ratio 6:9 in simplest form.

Hint: Divide both numbers by their GCF.
3

If 4 apples cost $2, how much do 10 apples cost?

Hint: Set up a proportion or find unit price.

Teaching Tip

For younger learners: Use concrete objects and hands-on activities when teaching solve simple proportions. Keep sessions short (10-15 minutes) and incorporate movement or songs when possible.

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