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Session 20: Fraction problems

Session Title

Fraction problems 

Objective

  • Understand and visualisevisualize 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

    1. Fraction circles or bars
    2. Colored pencils or markers
    3. Printed worksheets
    4. Whiteboard and markers
    5. Group reflection sheets
    6. Chart paper

Methodology

Learning through real-life scenarios and activities

Session Duration 

12090 Minutes

Introduction  Activity (15 minutes)

"Fraction of Me" Art & Share

Students"The colorteacher ingave each student a paper and asked them to draw a circle on it. The students divided the circle into 8 parts,parts shadingand partsshaded the sections to represent their interestsinterests." (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 colourcolor the slices of the circle based on these fractions using different colourscolors 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 (65 minutes)

Fraction Addition and Subtraction Relay (3010 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)

  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)

  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) 

  3.  There was 5/6 of a litreliter 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 (2515 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?

 

Group Task: Task

Each group must:

  1. 1. Read the problem together

  2. 2. Identify the fractions and what they represent

  3. 3. Write a multiplication sentence

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

  5. 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:

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

    Sharehas &3/4 Reflectof (a chocolate bar. She wants to share it equally among 3 friends.
    How much chocolate does each friend get?

  • Review Questions(10 minutes)

    Ask

    •  How do you know when to multiply or divide in a fewword groupsproblem?
    •  What clues in the question help you decide what to presentdo?
    • their problem

    Follow-up Tasks (10 minutes)


    Home Work

    Lena

      runs
    1. Anumol baked 3/4 of a cake shop.cake. She bakedgave 12/3 whole chocolate cake and dividedof it into 8 equal slices. She shaded 5/8 of the cake onto 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?friend.

      give
      Ato customerher ordersfriend?
      (Solve: 1/3/4 ร— 2/3)
    2. You have 5/6 of a cakepizza forand a birthday.

    If Lena wantswant to prepareshare 3it ofequally thosebetween birthday2 orders, howpeople.
    How much cakepizza willdoes sheeach need?

    person get?
    (Solve: 5/6 รท 2)      

    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