Bridges in Mathematics Grade 5, Unit 7: Division & Decimals Data & Fractions
In this unit, your child pulls several fifth-grade skills together. They divide by two-digit numbers, divide with decimals, and divide with unit fractions. They also make line plots of measurements in halves, quarters, and eighths and use them to answer questions. After the graphing and geometry unit, these skills prepare for the final unit on measurement and solar energy.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
What is my child learning in Unit 7?
- Dividing four-digit numbers by two-digit divisors, like 1,512 ÷ 36, and checking the quotient by multiplying back. Learn more: Dividing by two-digit numbers, like 480 ÷ 16
- Dividing decimals, like 7.5 ÷ 3 or 4.2 ÷ 0.6, and estimating to see whether the quotient makes sense. Learn more about adding and subtracting decimals to hundredths: Adding and subtracting decimals to hundredths · Learn more about multiplying decimals to hundredths · Learn more about dividing decimals to hundredths
- Dividing with unit fractions, like sharing 1/3 of a pan between 2 people or finding how many 1/4s are in 5. Learn more: Dividing with fractions, like 1/2 ÷ 4
- Making line plots of measurements in halves, quarters, and eighths, and adding the fractions to answer questions about the data. Learn more: Measurement charts with halves, quarters, and eighths
Sample questions to try together
These are real questions from our practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
Which equation can you use to find 1,350 ÷ 45?
- 45 × ? = 1,350
- 1,350 × 45 = ?
- 45 ÷ 1,350 = ?
How you can help
- Measure a few pencils or leaves to the nearest 1/8 inch and mark each with an X on a number line. Ask your child which length is most common and the total of the two longest.
- Split a grocery cost of $8.40 among 3 people. Ask your child to estimate first, then divide to find each person's share, $2.80.
- Ask how many 1/3-cup servings are in 4 cups of popcorn or cereal. Let your child draw it out, then check that 4 ÷ 1/3 is 12.
Where kids can get stuck
- Mishandling the remainder, so 500 ÷ 16 is written as 314 instead of 31 with 4 left over.
- Treating 3 ÷ 0.5 like 3 ÷ 2 and answering 1.5, instead of counting six halves.
- Counting the Xs on a line plot when asked for a total, instead of adding the fraction measurements.
Practice makes perfect
Bobby's Math Club has practice problems that adapt to your child’s level, each with a detailed explanation and an easy-to-follow video, so your child can build confidence in these skills one step at a time.
Words your child will hear
- dividend
- The number being divided, like 32 in 32 ÷ 4.
- divisor
- The number you divide by, like 4 in 32 ÷ 4.
- quotient
- The answer to a division problem, like 8 in 32 ÷ 4 = 8.
- remainder
- What is left after making as many equal groups as possible.
- unit fraction
- One equal part of a whole, like 1/4.
- line plot
- A number line with X marks that shows how often each measurement appears.
- data
- Information collected to answer a question, like a list of measurements.
- eighth
- One of 8 equal parts of a whole, written 1/8.
Want to help your child master division and data?
In Bobby's Math Club, your child practices these skills at just the right level, with a hint when they need one, a clear explanation after every question, and kid-friendly videos. Unlimited practice is free.
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Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
Which math standards does Bridges in Mathematics Grade 5 Unit 7 cover?
Bridges in Mathematics Grade 5 Unit 7 covers these math standards. Each one links to what it means, sample questions, and teaching strategies.
For teachers: Unit names and order vary between editions and districts, so your school’s own materials have the exact sequence. Learn how Bobby's Math Club can help your students grow.