Grade 6Math

Real-World Application: Solving Multi-Step Problems

Real-World Application: Solving Multi-Step Problems teaches Grade 6 students to translate complex fraction and mixed number division scenarios from words into mathematical expressions using key phrases like cut into pieces of or how many servings. Covered in Illustrative Mathematics Grade 6, Unit 4: Dividing Fractions, students practice identifying the dividend and divisor in multi-step problems and applying fraction division procedures to get real-world answers. This consolidates fraction division skills in authentic contexts.

Key Concepts

Solving real world problems often requires translating a scenario into a division expression involving fractions or mixed numbers . Key phrases like " cut into pieces of... " or " how many batches... " usually indicate division.

Common Questions

How do you solve a multi-step word problem with fraction division?

Read carefully to identify the total amount and the size of each piece or group. Write the correct division expression, compute using keep-change-flip (if fractions are involved), and interpret the answer in context.

What key phrases indicate division in fraction word problems?

Phrases like cut into pieces of, how many servings, split equally among, and fits into signal that division is needed.

How do you know which number is the dividend and which is the divisor in a word problem?

The total amount being divided is the dividend. The size of each group or piece is the divisor.

Where is this topic in Illustrative Mathematics Grade 6?

Real-world application of multi-step problems is in Unit 4: Dividing Fractions of Illustrative Mathematics Grade 6.

What should you do after calculating the answer to a fraction division word problem?

Check that your answer makes sense in the real-world context. If you get a fractional number of groups, consider whether a partial group is meaningful.