A mixed number is a whole number and a fraction combined. For example: one and a half is a mixed number.

Efficiently solve subtraction problems (within a whole)

Maths

Efficiently solve addition problems (within a whole)

Express an amount of quarters as a mixed number and an improper fraction.

Express an amount of fifths as a mixed number and an improper fraction.

Express a quantity as a mixed number and an improper fraction

In this unit pupils will make efficient choices about the order they solve an addition and subtraction problem in. In the future unit pupils will express and convert a quantity from an improper fraction to a mixed number and explain how a mixed number is converted into an improper fraction.

In the prior unit pupils estimated the position of numbers on a number line using fraction sense. They compared and ordered mixed numbers using fraction sense when the whole number and the numerator of the fractional part was the same. In this unit pupils will make efficient choices about the order they solve an addition and subtraction problem in.

In this unit pupils will make efficient choices about the order they solve an addition and subtraction problem in.

Addition and subtraction of fractions and mixed numbers (within a whole)

Calculate: $$1{{4} \over {5}}$$ − $$ {2} \over {5}$$ = ?

$$1{{4} \over {5}}$$ − $$ {1} \over {5}$$

$$2{{6} \over {8}}$$ − $$ {4} \over {8}$$

$$4{{7} \over {8}}$$ − $$ {3} \over {8}$$

$$2{{4} \over {8}}$$ − $$ {3} \over {8}$$

$$1{{5} \over {7}}$$ − ___ = $$1{{2} \over {7}}$$

What is the missing number? $$4{{5} \over {8}}$$ − {{ }} = $$ {5} \over {8}$$

$$5{{7} \over {10}}$$ − $$2{{4} \over {10}}$$ = ?

Jacob has three and one-fifth metres of rope. Sofia has five and four-fifths metres of rope. How much more rope does Sofia have?

Look at this number $$9 {{1} \over {4}}$$ We say it as nine and one {{ }}.

Look at the part-part-whole model. What is the missing part?

Which fraction shows how much of the bar has been shaded grey?

$$ {3} \over {4}$$ − $$ {2} \over {4}$$

$$ {5} \over {6}$$ − $$ {3} \over {6}$$

$$ {9} \over {10}$$ − $$ {3} \over {10}$$

$$ {3} \over {8}$$ − $$ {2} \over {8}$$

5 + $$ {2} \over {8}$$ + $$1{{3} \over {8}}$$ + $$ {2} \over {8}$$ = ?

$$4{{3} \over {8}}$$ + $$2{{4} \over {8}}$$ = ?

Efficiently solve subtraction problems (within a whole)

Lesson outcome