6th Grade Math Lesson

Mixed Numbers: Converting, Adding, Subtracting, and Multiplying

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6th Grade — Level I (Basic/Foundations)BTC Style / Thinking Classrooms50 min

Learning Objective

Students will convert between improper fractions and mixed numbers, and apply that understanding to add, subtract, and multiply mixed numbers.

Lesson Overview

Students progress from identifying parts of a mixed number on a number line through converting, adding, subtracting, and finally multiplying mixed numbers — changing only one complexity layer at a time.

Materials

Vertical whiteboards or chart paper
Dry-erase markers (multiple colors)
Pencils and paper

Scaffolded Task Progression

1Task 1

Look at the number line below. A point is marked at

\frac{9}{4}

.

1. Between which two whole numbers does

\frac{9}{4}

land?
2. How many full groups of

\frac{4}{4}

fit before the point?
3. How many fourths are left over?
4. Write

\frac{9}{4}

as a mixed number.

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

2Task 2

Convert each improper fraction to a mixed number. Use division — show your remainder.
a)

\frac{7}{2}

\frac{13}{3}

\frac{17}{5}

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