6th Grade Math Lesson

Mixed Numbers in the Real World: Converting, Adding, Subtracting & Multiplying

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6th Grade — Level I (Basic/Foundations)BTC Style / Thinking ClassroomsCCSS.MATH.CONTENT.5.NF.B.3, CCSS.MATH.CONTENT.5.NF.B.6, CCSS.MATH.CONTENT.4.NF.B.3c50 min

Learning Objective

Students will convert between improper fractions and mixed numbers, add and subtract mixed numbers with like denominators, and multiply mixed numbers by converting to improper fractions.

Lesson Overview

Students progress from identifying and converting between improper fractions and mixed numbers, through adding and subtracting mixed numbers with like denominators, to multiplying mixed numbers using conversion to improper fractions — each task changes exactly one variable.

Materials

Whiteboard or chart paper
Dry-erase markers or pencils
Scratch paper

Scaffolded Task Progression

1Task 1

Look at the fraction bar diagram below. Each strip represents one whole pizza cut into 4 equal slices. Count ALL the shaded pieces. Write the total as an improper fraction, then write it as a mixed number.

[ Interactive graph / diagram, available in the full lesson ]

Improper fraction: _____ Mixed number: _____

2Task 2

Convert the improper fraction

\frac{11}{4}

to a mixed number. Use the number line below to help you locate where

\frac{11}{4}

lands.

[ Interactive graph / diagram, available in the full lesson ]

\frac{11}{4}

= _____

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