## Multiplying fractions by a whole number - visual

Activity type: Interactive Activity

## Multiplying fractions by a whole number - visual

Course
Mathematics
Section
Fractions
Outcome
Multiplying fractions by a whole number - visual
Activity Type
Interactive Activity
Activity ID
28487

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## United States – Common Core State Standards

• ##### 4.NF – Number & Operations—Fractions (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.)
• Mathematics

• 4.NF.4 – Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

• 4.NF.4.a – Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).

• 4.NF.4.b – Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)

• ##### 5.NF – Number & Operations—Fractions
• Mathematics

• 5.NF.5 – Interpret multiplication as scaling (resizing), by:

• 5.NF.5.b – Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.

## Australia – Australian Curriculum

This activity is not included in Australia – Australian Curriculum.

You can go to an overview of all the curricula here.

## New Zealand – National Standards

• ##### 6.NA – Number and algebra
• 6.NA.1 – Apply additive and simple multiplicative strategies flexibly to:

• 6.NA.1.b – Find fractions of sets, shapes, and quantities

## United Kingdom – National Curriculum

• ##### Year 4 programme of study
• KS2.Y4.N.F – Number - fractions (including decimals)

• Pupils should be taught to:

• KS2.Y4.N.F.3 – Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number

• ##### Year 5 programme of study
• KS2.Y5.N.F – Number - fractions (including decimals and percentages)

• Pupils should be taught to:

• KS2.Y5.N.F.5 – Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams

• ##### Year 6 programme of study
• KS2.Y6.N.F – Number - Fractions (including decimals and percentages)

• Pupils should be taught to:

• KS2.Y6.N.F.6 – Divide proper fractions by whole numbers [for example, ⅓ ÷ 2 = ⅙ ]