Unit 7: Ratios, Percentages, and Proportional Reasoning

Day 26 of 30

Understand scale drawings

K-2Mathematics

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Learning Objective

I can understand scale drawings.

Today's Lesson

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

Rates compare two different quantities. A unit rate expresses the comparison per one unit: 60 miles per hour, $3.50 per pound. To find a unit rate, divide: 120 miles in 3 hours → 120 ÷ 3 = 40 miles per hour. Percentages are rates per 100: 10% = 10 per 100 = 0.10. Finding 10% is easy: move the decimal point one place left. Finding 1%: move it two places. Scale drawings use a ratio to represent real dimensions: a map at 1 inch = 50 miles means distances on the map are divided by the scale to find real distances. Rates and ratios appear in cooking, construction, science, and everyday comparisons.

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 understand scale drawings. 2. Try the examples together. 3. Solve practice problems. 4. Check your work.
Materials Needed
  • Counters or objects
  • Pencil
  • Practice sheet
Practice Problems
1

Practice Problem 1: Apply what you learned today.

Hint: Review the examples from the lesson.
2

Practice Problem 2: Try a similar problem on your own.

Hint: Use the strategies you learned.
3

Challenge: Can you create your own problem like the ones we practiced?

Hint: Think about the pattern in the problems.

Teaching Tip

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

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