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Session 20: Fraction problems

Session Title

Fraction problems 

Objective

  • Understand and visualise fractions using shading.
  • Perform operations with fractions: addition, subtraction, multiplication, and division.
  • Practice teamwork, self-awareness, and empathy through group work and reflection

Topics

To remember again fractions, shading, addition, subtraction, multiplication and division through real-life scenarios.

Materials Required

  • Fraction circles or bars
  • Colored pencils or markers
  • Printed worksheets
  • Whiteboard and markers
  • Group reflection sheets
  • Chart paper

Methodology

Learning through real-life scenarios and activities

Session Duration 

120 Minutes

Introduction  Activity (15 minutes)

"Fraction of Me" Art & Share

Students color in a circle divided into 8 parts, shading parts to represent their interests (e.g., 3/8 sports, 2/8 music).

Instructions:

1. Each student thinks about their hobbies or interests (e.g., sports, music, reading, video games, etc.).

2. They decide how much time or how interested they are in each activity, and represent that as a fraction out of 8.

For example:

3/8 sports

2/8 music

2/8 reading

1/8 video games

3. Students colour the slices of the circle based on these fractions using different colours for each interest.

4. The total should always add up to 8/8 (1 whole circle).

Share with a partner or group

Discuss: "How are we similar or different? How does it feel to express yourself through fractions?"

Main Activity

Fraction Addition and Subtraction Relay (30 minutes)

Divide students into two teams. In teams, students solve fraction addition/subtraction problems at stations. Each correct answer earns 10 points. The team that solves the problem first will win.

1)Liam drank 2/5 of a bottle of juice in the morning and 1/5 in the afternoon. How much juice did he drink in total?

2)  Emma ate 3/8 of a pizza. Later, she ate another 1/8 of the same pizza. How much pizza did she eat altogether? How much is left?

3) Sophia read for 3/4 of an hour on Monday and 1/4 of an hour on Tuesday.How many hours did she read in total?

4)  There was 5/6 of a litre of water in a bottle. Jack drank 2/6 of             

       It. How much water is left in the bottle?

5)  Olivia had 7/8 of a chocolate bar. She gave 3/8 to her friend.

     How much chocolate does Olivia have left?

Fraction Multiplication with Real-life Scenarios (25 minutes)

Divide students into groups of 3.

Each group receives a word problem card with a multiplication of fractions scenario. Examples:

  1. A recipe uses 2/3 of a cup of flour. If you make 1/2 of the recipe, how much flour do you need? A garden is 3/5 of a yard wide.
  2. A weed grows on 1/4 of it. How much space does the weed take up?
    Sarah jogs 3/4 mile each day. She jogs for 2/3 of a week. How many miles did she jog?
  3. Group Task:

Each group must:

1. Read the problem together

2. Identify the fractions and what they represent

3. Write a multiplication sentence

4. Draw a visual model (area model, bar model, or number line)

5. Solve it and explain the answer in words

Solve It, Show It (30min)

Students work in pairs or small groups.

Each group gets a fraction division word problem card, such as:

  • You have 2/3 liter of juice. Each glass holds 1/6 liter. How many glasses can you pour?
  • A 1/2 kg bag of rice is divided equally among 1/4 kg portions. How many portions?”
    2/3 pan of lasagna is shared equally by 6 friends. What fraction of the pan will each friend get? 

Share & Reflect (10 minutes)

Ask a few groups to present their problem

Follow-up Tasks (10 minutes)


Lena runs a cake shop. She baked 1 whole chocolate cake and divided it into 8 equal slices. She shaded 5/8 of the cake on her display board to show how much was sold.

Later, she bakes another cake and sells 3/8 of it.

What fraction of the two cakes combined has she sold?

A customer orders 1/4 of a cake for a birthday.

If Lena wants to prepare 3 of those birthday orders, how much cake will she need?

Lena has 3/4 of a cake leftIf she cuts it into pieces of size 1/8, how many pieces will she have?       

Expected Learning  Outcome:

Knowledge building:

  • Students will understand and apply the concept of shading, addition, subtraction, multiplication and division of fractions.

  • Practice teamwork, self-awareness, and empathy through group work and reflection.
  • Logical thinking