Year 5 - Fractions Learning Path (Grey 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.
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
General teaching tips:
Students with the Grey Learning Profile learn best when taught systematically and methodically. They require more encouragement to build their confidence and more attention in a group setting.
Step 1:
Name: Equivalent Fractions
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)
Timed exercise
Set a strict, 10-minute timer for them to complete all the questions in the following worksheet. These students should be encouraged to continue with their work, even if they get the first couple of questions wrong. They might require a small reminder throughout the sheet, but it should otherwise be smooth and a good chance for them to practice their arithmetics.
Worksheet: Equivalent Fractions D 2
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Answers:
Step 2:
Name: Equivalent proper and mixed fractions
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)
Extra practice
Even if the students take a little longer on this worksheet, it'll be great practice for them.
Step 3:
Name: Multiply/divide mixed fractions
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)
Word problems
Use this sheet for extra practice and for the students to complete for homework
Worksheet: Multiply divide mixed fractions W 1
Step 4:
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)
Extra practice
Use this worksheet to recap what the students have learnt previously
Worksheet: Add subtract mixed fractions D 2
Step 5:
Challenge questions
Use this to help the students understand how to simplify any fractions that they may come across in the future
Step 6:
Name: Cross multiplying fractions
Learning Outcomes:
- Multiply simple pairs of fractions, writing the answer in its simplest form (ENCY6)
Introduce concept
Worksheet: Cross multiply fractions D 2
Step 7:
Name: Multiply fractions & whole numbers
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)
Word problems
Use this worksheet as a round-up of the topic to solidify their understanding
Worksheet: Multiple fractions and whole numbers W 1
Step 8:
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)
Warm up
Explain the first two questions on the board to guide the students through understanding the concept
Worksheet: Multiply mixed fractions D 1
Step 9:
Introduce concept
Explain the first two questions on the board to guide the students through understanding the concept
Step 10:
Name: Multiply and divide fractions
Learning Outcomes:
- Multiply proper fractions and mixed numbers by whole numbers (ENCY5)
- Divide proper fractions by whole numbers (ENCY6)
Word problems
Use this sheet to help the students apply what they have learnt to real-life scenarios through word problems. Students should only move onto the next section of the worksheet once they have gotten 3 consecutive questions correct.
Worksheet: Multiply divide fractions W 1
Step 11:
Sum up
Use these worksheets as a sum up of everything the students have learnt in Fractions so far to test their understanding and gauge where they may need some extra help.
Step 12:
Word problems
Use these challenging word problems to help students understand how to apply their knowledge to real-life scenarios
Step 13:
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.
