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This Number Talk encourages students to think about equivalent forms of whole numbers and decomposing fractions in order to subtract. When students consider equivalent fractions, look for ways to decompose fractions, or use the structure of mixed numbers to find the value of each difference, they look for and make use of structure (MP7).
Find the value of each expression mentally.
In previous lessons, students have used their understanding of fraction equivalence to compare fractions and solve problems. The purpose of this activity is to practice solving addition and subtraction problems involving decimal fractions (MP2). Students use what they know about equivalent fractions and the relationship between 10 and 100 to add tenths and hundredths.
A fourth-grade class runs a relay race during recess. Each team has 4 runners. Each runner runs the length of the school playground.
Here are the times of the runners for 2 teams.
| runner | Diego’s team, time (seconds) | Jada’s team, time (seconds) |
|---|---|---|
| 1 | ||
| 2 | ||
| 3 | ||
| 4 |
The purpose of this activity is to create and solve addition and subtraction problems with fractions. Students first create stories to match a given value or equation and some given constraints.
Write a problem that represents each of these situations. After each problem is written, trade papers with a partner to compare your problems and check your solutions.
A problem that can be solved by writing the equation:
“In this section, we have solved many problems that involved adding, subtracting, multiplying, and comparing fractions.”
“What are two things that you have learned from listening to the ideas of other students in these lessons?”
“What is one thing you want to continue to practice when solving problems with fractions?“