Year 5 - Fractions Learning Path (Navy Profile)

Before starting this Learning Path

Before starting this Learning Path, the student should have a basic knowledge of Fractions and understand how to add and subtract equivalent fractions.

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Learning Outcomes

Compare and order fractions
Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
Use common factors to simplify fractions; use common multiples to express fractions in the same denomination
Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
Multiply simple pairs of proper fractions, writing the answer in its simplest form
Divide proper fractions by whole numbers
Associate a fraction with division and be able to divide simple fractions

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General teaching tips:

Students with the Navy Profile have the ability to understand new concepts quicker than most. - They are strong arithmetically and work quickly due to their laser focus and self-motivation to excel. - They are extremely vocal students who will ask whenever they are unclear on a step/concept.

Step 1

Step 1:

Name: Equivalent fractions

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Learning outcomes:

Identify, name and write equivalent fractions of a given fractionincluding tenths and hundredths (ENCY5)
Compare and order fractions whose denominators are all multiples of the same number (ENCY5)

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Timed exercise

Students with the Navy Profile love being challenged. Set a strict, 10 minute time pressure for the students to complete this step, emphasising to the student/s that you'd like speed as well as accuracy. These students are extremely vocal and will voice out whenever they require any help.

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Worksheet: Equivalent fractions D 2

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Step 2

Step 2:

Name: Multiply/divide mixed fractions

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Learning Outcomes

multiply proper fractions and mixed numbers by whole numbers (ENCY5)
use common factors to simplify fractions; use common multiples to express fractions in the same denomination (ENCY6)
compare and order fractions, including fractions > 1 (ENCY6)
add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions (ENCY6)
multiply simple pairs of proper fractions, writing the answer in its simplest form (ENCY6)
divide proper fractions by whole numbers (ENCY6)
solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division fact (ENCY6)

Extra practice

Students with the Navy Profile are expected to already understand mixed numbers. If they are struggling, use the first two questions to explain the concept, and then let them continue working on the rest of the worksheet.

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Worksheet: Add subtract mixed fractions D 2

Step 3

Step 3:

Name: Add/subtract proper fractions

Learning Outcomes:

Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions (ENCY4)
Compare and order fractions whose denominators are all multiples of the same number (ENCY5)
Add and subtract fractions with different denominators and mixed numbers (ENCY6)

Challenge

Use these additional questions to challenge the students.

Worksheet: Add subtract proper fractions D 1

Step 4

Step 4:

Name: Multiply/divide mixed fractions

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Learning Outcomes:

Multiply proper fractions and mixed numbers by whole numbers (ENCY5)
Use common factors to simplify fractions; use common multiples to express fractions in the same denomination (ENCY6)
Compare and order fractions, including fractions > 1 (ENCY6)
Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions(ENCY6)
Multiply simple pairs ofproper fractions, writing the answer in its simplest form (ENCY6)
Divide proper fractions by whole numbers(ENCY6)
Solve problems involving the relative sizes oft wo quantities where missing values can be found by using integer multiplication and division fact (ENCY6)

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Word problems

Students should be able to complete these questions at home. Emphasise to them that they should take their time and read the questions carefully before completing them.

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Worksheet: Multiply divide mixed fractions W 1

Step 5

Step 5:

Name: Simplify & multiply fractions

Learning Outcomes:

Use common factors to simplify fractions; use common multiples to express fractions in the same denomination (ENCY6)

Multiply simple pairs of proper fractions, writing the answer in its simplest form (ENCY6)

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Timed exercise

Set a strict, 10 minute time pressure for the students to complete this step, emphasising to the student/s that you'd like speed as well as accuracy.

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Worksheet: Simplify and multiply fractions D 2

Step 6

Step 6:

Name: Multiply mixed fractions

Learning Outcomes:

Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number (ENCY5)
Multiply simple pairs of fractions, writing the answer in its simplest form (ENCY6)

Introduce concept

Complete the first one on the board, picking on people to complete a different step. Once they are happy and confident with the concept and method, let them complete the rest of the worksheet on their own.

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Worksheet: Multiply mixed fractions D 4

Step 7

Step 7:

Name: Multiply fractions & whole numbers

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Learning Outcomes:

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 (ENCY4)
Multiply proper fractions by whole numbers (ENCY5)

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Word problems

Worksheet: Multiply fractions and whole numbers W 3

Step 8

Step 8:

Name: Multiply fractions

Learning Outcomes:

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 (ENCY4)
Multiply proper fractions and mixed numbers by whole numbers (ENCY5)
Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions (ENCY6)

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Extra practice

Worksheet: Multiply fractions and whole numbers W 4

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Step 9

Step 9:

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Sum up

Use this worksheet as a sum-up of the topic. Start off the sheet in the session and set the rest of it for homework as students should be familiar with all the concepts in the pack.