To represent something means to show something in a different way.

We can estimate to find a value that is close enough to the right answer, usually with some thought or calculation involved.

A whole number and a fraction can be combined to form a mixed number.

An improper fraction is a fraction where the numerator is greater than the denominator.

Solve problems involving multiplication of mixed numbers by a whole number

Maths

Represent and multiply an improper fraction by a whole number.

Multiply a mixed number by a whole number not bridging a whole

Multiply a mixed number by a whole number bridging a whole

Solve problems involving fractions and mixed numbers

In this unit pupils will multiply an improper fraction and a mixed number by a whole number. In the future unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes.

In the prior unit pupils explained the relationship between repeated addition of a proper fraction and multiplication of fractions with both unit and not-unit fractions. They multiplied a proper fraction by a whole number. In this unit pupils will multiply an improper fraction and a mixed number by a whole number.

In this unit pupils will multiply an improper fraction and a mixed number by a whole number.

Multiply improper fractions and mixed numbers by a whole number

Tick the expression that matches the problem. Izzy runs $$ 2\frac{1}{4} $$ kilometres on both Saturday and Sunday.

Tick the most appropriate estimates for $$ 4\frac{1}{6} $$  × 3

Estimate the value of this expression. Give your estimate as a whole number. $$ 2\frac{1}{8} $$  × 3 

Tick the product of this equation. $$ 5\frac{1}{3} $$  × 2 = ___ 

Order the expressions from largest to smallest.

Tick the correct expressions that represent the image.

Tick the most appropriate estimation for 312 + 486

Tick expressions where the product would be less than one whole.

Tick the correct symbol to compare these two expressions.

This lesson was made for home learning during the pandemic.

Solve problems involving multiplication of mixed numbers by a whole number

Lesson outcome

This lesson was made for home learning during the pandemic.