In this Grade 5 Illustrative Mathematics lesson from Chapter 6: Place Value Patterns and Decimal Operations, students apply their understanding of decimal place value and operations to solve multi-step word problems. Learners practice selecting appropriate strategies to add, subtract, multiply, and divide decimals in real-world contexts. This lesson consolidates key skills from the chapter to build fluency and problem-solving confidence with decimal numbers.
Section 1
Estimate Sums and Differences Using Benchmark Fractions
To assess the reasonableness of a sum or difference, estimate the result by rounding each fraction to the nearest benchmark () or each mixed number to the nearest half.
Compare this estimated result to the given answer.
If the estimate and the answer are close, the answer is reasonable.
Section 2
Solve Multi-Step Measurement Word Problems
To solve a multi-step measurement problem, first identify the units involved.
Convert all measurements to a common unit, which may require one or more conversion steps.
Then, perform the necessary calculations (addition, subtraction, multiplication, or division) to find the final answer.
Solving multi-step word problems involves combining measurement conversion with other mathematical operations. The key is to first convert all quantities to a single, common unit before adding or subtracting. This often means changing a larger unit to a smaller unit (like pounds to ounces) to make the calculation straightforward. After converting, you can solve the problem by performing the operation described in the word problem.
Section 3
Solving Word Problems with Like Fractions
To solve a word problem involving fractions, first identify the given fractions and determine the necessary operation.
Use keywords in the problem to decide whether to add or subtract.
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Section 1
Estimate Sums and Differences Using Benchmark Fractions
To assess the reasonableness of a sum or difference, estimate the result by rounding each fraction to the nearest benchmark () or each mixed number to the nearest half.
Compare this estimated result to the given answer.
If the estimate and the answer are close, the answer is reasonable.
Section 2
Solve Multi-Step Measurement Word Problems
To solve a multi-step measurement problem, first identify the units involved.
Convert all measurements to a common unit, which may require one or more conversion steps.
Then, perform the necessary calculations (addition, subtraction, multiplication, or division) to find the final answer.
Solving multi-step word problems involves combining measurement conversion with other mathematical operations. The key is to first convert all quantities to a single, common unit before adding or subtracting. This often means changing a larger unit to a smaller unit (like pounds to ounces) to make the calculation straightforward. After converting, you can solve the problem by performing the operation described in the word problem.
Section 3
Solving Word Problems with Like Fractions
To solve a word problem involving fractions, first identify the given fractions and determine the necessary operation.
Use keywords in the problem to decide whether to add or subtract.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter