Year 5 - Fractions Learning Path (Orange 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 Orange 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. - These students are sure to ask questions until they are crystal clear in their understanding.
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
Apply a strong time pressure and emphasise that you want accuracy as well as speed - students with the Orange Profile will eagerly rise to the challenge and willingly ask for help when needed.
Worksheet: Equivalent fractions D 2
Step 2:
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)
Extra practice
Use this sheet to practice after introducing the topic to challenge these students. Traditionally, students with the Orange Profile do not need further explanation/ guidance to complete this sheet and enjoy the extra challenge.
Worksheet: Add subtract proper fractions D 1
Step 3:
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)
Challenge questions
Use these harder questions to challenge your students on their arithmetics and equivalent fractions.
Worksheet: Add subtract mixed fractions D 2
Worksheet: Add proper fractions D 1
Step 4:
Word problems
Students with the Orange Profile are quick learners and have the self-motivation to do excel. You should feel confident that they will be able to complete these questions at home, without much extra support.
Step 5:
Timed exercise
Place a strict, 10-minute time pressure on these students. Again, emphasise that you'd like them to complete the sheet with speed and accuracy.
Step 6:
Introduce concept
Use the first two questions as an example, completing it together with your student/s. Students with the Orange Profile love being engaged through classroom participation, so ask them to help you complete certain steps along the way to solving the question. Once they are happy with the method, let them complete the next two questions on their own. Check their method and if you are happy with their progress, let them complete the rest of the worksheet on their own.
Step 7:
Word problems
Use the first two questions as an example, completing it together with your student/s. Students with the Orange Profile love being engaged through classroom participation, so ask them to help you complete certain steps along the way to solving the question. Once they are happy with the method, let them complete the next two questions on their own. Check their method and if you are happy with their progress, let them complete the rest of the worksheet on their own.
Step 8:
Extra practice
Step 9:
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.
Learning path completed
Learning path completed
Learning path completed
Learning path completed
Learning path completed
Learning path completed