Unit 16: Whole-Number Arithmetic Fluency

Day 28 of 30

Solve mixed operation word problems

3-5Mathematics

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Learning Objective

Students will be able to solve mixed operation word problems.

Today's Lesson

In this lesson, we'll explore how to solve mixed operation word problems. Mathematical thinking develops logical reasoning and problem-solving abilities.

A ratio compares two quantities. For example, if there are 3 boys and 5 girls in a group, the ratio of boys to girls is 3:5 (read "3 to 5"). Ratios can also be written as fractions (3/5) or with the word "to" (3 to 5). Ratios help us compare amounts and understand relationships between numbers in recipes, maps, and many real-world situations.

As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.

Take notes on key points and make connections to what you've already learned in previous lessons.

Key Terms
Word

A unit of language that carries meaning

Problem

A mathematical question requiring analysis and solution

Activities
Instructions
1. Review the example problems for solve mixed operation word problems. 2. Identify the steps and strategies used. 3. Work through practice problems independently. 4. Compare solutions with a partner.
Materials Needed
  • Notebook
  • Calculator (if needed)
  • Graph paper
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 this age group: Balance direct instruction with collaborative activities. Allow students to explain their thinking and make connections to prior knowledge when exploring solve mixed operation word problems.

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