Step 1:

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Name: Equivalent Fractions

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Learning outcomes:

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

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Introduce concept

Try visualising a basic situation on the board before starting on this worksheet. For example, a pizza is cut into four slices, you take one slice, what fraction of the pizza is left?

Worksheet: Equivalent fractions D 2

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Step 2:

Name: Add/subtract unlike fractions

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Learning Outcomes:

• Identify, name and write equivalent fractions of a given fraction, represented visually (ENCY5)
• Add and subtract fractions with the same denominator and denominators that are multiples of the same number (ENCY5)

Extra practice

Practice a couple of these questions on the board, picking on students to help you through the next step of the solution. When the students are working through this sheet, pause at regular intervals to engage them with class participation, asking them to share their answers and methods with you. In a group setting, have one of the students share with the rest of the class how they got the answer and write their steps on the board for everyone to see. This will encourage them to write their workings and engage them in the session.

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Worksheet: Add subtract unlike fractions V 1

Worksheet: Add subtract unlike fractions V 2

Worksheet: Add subtract unlike fractions V 3

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Step 3:

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)

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Word problems

Use this sheet to solidify their understanding. Be sure to do a couple of questions in the session before setting the rest of the sheet as homework as these students tend to give up and not present any work if they struggle with the questions.

Worksheet: Multiply divide mixed fractions W 1

Step 4:

Name: Simply & 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)

Recap

While in the session, pick on the student to work through the problem. If they struggle to start it, encourage them by going through the question together to keep them engaged.

Worksheet: Simplify and multiply fractions D 2

Step 5:

Name: Cross multiplying fractions

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Learning Outcomes:

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

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Introduce concept

Oftentimes, students with the Yellow Profile tend to leave out certain steps when approaching a multi-step question. It is recommended to teach them multiplication and cross-cancelling at the same time, to decrease the likelihood that they forget the cross-cancel when coming to these multiplication questions.

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Worksheet: Cross multiply fractions D 2

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Step 6:

Name: Multiply mixed fractions

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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)

Extra practice

Worksheet: Multiply mixed fractions D 4

Step 7:

Name: Add/subtract 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)
• Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions (ENCY6)

Recap

They may need a brief reminder in converting between a mixed and improper number, but should otherwise be able to complete this worksheet on their own.

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Worksheet: Add subtract mixed fractions D 2

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)

Word problems

In the same way as multiplication, place a heavy emphasis on cross-cancelling to drill in the method.

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Worksheet: Multiply fractions and whole numbers W 4

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.

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Learning path completed

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Learning path completed

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Learning path completed

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Learning path completed

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Learning path completed

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Learning path completed

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