Math module 2 lesson 20
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This document provides guidance for a lesson on using rounding to estimate differences when solving measurement word problems involving subtraction. The lesson includes examples of rounding numbers to the nearest 100, 10, or in another way to estimate differences. Students practice estimating differences by rounding numbers in word problems about quantities of liquid, like liters of water in a fish tank, and checking if their exact answers are reasonable based on the estimates. The objective is for students to apply rounding to simplify calculations and check answers in solving measurement subtraction word problems.
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- 2. Sprint (9 minutes) • Complete the Round to the Nearest 100 sprint
- 3. Use Subtraction Algorithm with Measurements • Solve 50L - 28L = • Repeat with: 450L – 28 L 450L – 228L 604g – 32g 604g – 132g
- 4. Concept Development (23 minutes) Problem 1: • What is 362 rounded to the nearest hundred? • Let’s write it directly below 362. • What is 189 rounded to the nearest hundred? • Let’s write it directly below 189. • What is 400 - 200? • We estimated the difference by rounding to the nearest hundred and got . Now let’s estimate the difference by rounding to the nearest 10! Estimate 362 – 189 by rounding.
- 5. Concept Development (23 minutes) We rounded to the nearest 10 and 100. Is there another easy way we could round these numbers so that it is easy to subtract? (Discuss) Which rounded closer? Which was the easiest mental math? Now let’s solve the actual problem 362-189
- 6. Concept Development (23 minutes) Rounding to estimate is a tool that helps us simplify calculations to help us make sure our actual answers are reasonable. It can also be useful when we don’t need an actual answer. I know it isn’t as precise as an actual calculation, but sometimes an idea of an amount is all the information we need.
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- 8. Concept Development (23 minutes) Which estimates are closest to the real answers? Let’s use a number line to see why that is true. Here are 154 and 351 on the number line. The difference is the distance between them. When they round the same way, the distance between them is staying about the same. When we round in opposite directions the distance gets either much longer or much shorter. Turn and talk to your partner about what the number line shows about estimates when subtracting. Think about what happens on the number line when we add estimates too.
- 9. Why do we want our estimated differences to be about right? Would all four estimates help you to check if your exact answer is reasonable? Just like when we add, we need a good estimate to see if our actual difference is reasonable.
- 10. Concept Development (23 minutes) Problem 3: Round the difference of 496-209.. Analyze how rounding to the nearest hundred is nearly the same as rounding to the nearest ten when both addends are close to a hundred.
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