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Subject: Mathematics
Semester: 1
Period: 3
Week: 17
School Name:
Teacher’s Name:
Subject: Mathematics
Grade Level: Grade 5
Date: Week 17
Lesson Duration: 45 minutes
Week & Period: Week 17, Period 3
Topic: Fractions
Sub-topic: Word Problems Involving Fractions
Learning Objectives
By the end of the lesson, students should be able to:
- Solve multi-step word problems involving fractions
- Solve problems with mixed numbers
- Solve problems requiring conversions between fractions and decimals
Previous Knowledge
Students already know all four operations of fractions and conversions
Instructional Materials
Mathematics textbook for Grade 5
Lesson Development – ABC Model
A – Anticipation (Warm-up / Starter)
Time: 5–10 minutes
Teacher asks: “If I share 1/2 of a cake with you and you eat 1/4 of it, how much cake did you eat?”
B – Building Knowledge (Main Lesson Body)
Time: 25–30 minutes
Definitions and Explanations:
Fraction word problems are real-life scenarios that involve operations with fractions (addition, subtraction, multiplication, or division) and sometimes require converting between decimals and fractions. Solving these problems involves four key steps:
(1) understanding the problem (what is being asked),
(2) identifying the operation(s) needed,
(3) calculating accurately using the correct fraction rules, and
(4) interpreting the final answer in the context of the question. These problems help learners apply their mathematical skills to everyday situations like measuring, cooking, shopping, and budgeting.
Examples:
- Jane baked a cake and ate 1/4. Her friend ate 2/4. How much is left?
→ Total eaten = 1/4+2/4=3/4
→ Cake left = 1−3/4=1/4
Answer: 1/4 of the cake is left. - A rope is 3 1/2 meters long. If 1 3/4 meters is cut off, what length remains?
→ Convert mixed numbers: 3 1/2=7/2, 1 3/4=7/4
→ Find LCD (4): 14/4−7/4=7/4=1 ¾
Answer: 1 3/4 meters remain.
- A student spends 2/5 of his money on books and 0.2 on snacks. How much is spent altogether?
→ Convert 0.2 to fraction: 0.2=2/10=1/5
→ Find LCD: 2/5+1/5=3/5
Answer: 3/5 of the money was spent in total. - A baker used 3/4 cup of sugar and 5/8 cup of flour. How much did he use altogether?
→ Find LCD of 4 and 8 = 8
→ 3/4=6/8, so total = 6/8+5/8=11/8=1 3/83
Answer: 1 3/8 cups used. - A jug contains 2 1/2 liters of juice. If 3/4 liter is drunk, how much remains?
→ Convert: 2 1/2=5/2, 3/4=3/4
→ Find LCD = 4 → 10/4−3/4=7/4=1 ¾
Answer: 1 ¾ liters of juice remain.
Learners’ Activities (Expanded):
Students work in groups of 3–4 to solve a set of real-life fraction word problems involving various operations (e.g., shopping, recipes, distance, and sharing). Each group presents step-by-step solutions using the correct operation and explains their reasoning.
Learners use paper strips or drawings to model each part of the problem visually. For example, shading parts of a cake to represent how much is eaten and how much is left.
Pairs of students create their own word problems involving fractions and exchange them with another pair to solve. They must explain which operation was used and why.
Class discusses how these problems relate to daily life, e.g., measuring ingredients, budgeting money, or sharing food.
Assessment Checks:
- A student eats 3/8 of a chocolate bar in the morning and 2/8 in the evening. How much is eaten altogether?
→ 3/8+2/8=5/8 - A container holds 4 1/2 liters of water. If 2 2/3 liters is poured out, how much remains?
→ Convert to improper fractions: 9/2−8/3=27/6−16/6=11/6= 1 5/6 - A student spends ¼ of her time on homework, 1/3 on chores, and the rest on leisure. What fraction of her time is left for leisure?
→ Find LCD: 1/4=3/12, 1/3=4/12
→ 3/12+4/12=7/12;
leisure = 1−7/12=5/12
Notes (Expanded & Detailed):
Solving word problems with fractions develops critical thinking and helps learners connect math to real life.
Step-by-step strategies should be emphasized:
(1) Read and understand the question
(2) Identify the operation(s): addition, subtraction, multiplication, or division
(3) Convert all numbers to proper form (improper fractions if needed, or convert decimals to fractions)
(4) Find a common denominator if needed
(5) Perform the operation and simplify the final answer
(6) Interpret the answer in context (e.g., “1 3/4 liters remain”)
Visual aids like strips, diagrams, and fraction circles help struggling learners grasp the concepts.
Teachers should guide learners to recognize key vocabulary in questions: “altogether” suggests addition, “left” suggests subtraction, “each person gets” may indicate division.
Encourage learners to check their answers by estimating and reasoning. For example, if 2 out of 3 parts are used, then approximately one-third should remain.
Mastering word problems builds confidence and prepares learners for more complex problem-solving in upper classes and daily decision-making.
C – Consolidation (Conclusion & Assessment)
Time: 5–10 minutes
Summary: Fractions apply to everyday life in cooking, distances, and sharing. Correct operation choice is key.
Evaluation Method (Expanded):
Exit slip/quiz:
Solve: A piece of cloth is 5 m long. If 1 2/3 m is cut off, what length is left?
Assignment (Expanded):
- A car travels 3/4 km in the morning and 2/3 km in the evening. How far did it travel in total?
- A farmer harvested 2 1/2 bags of maize and later harvested 1 3/4 more. How many bags in all?
Follow-up Activity:
Learners create two real-life word problems involving fractions.
Differentiation / Inclusive Strategies
Support weaker learners with guided steps. Challenge advanced learners with multi-step mixed problems.
Teacher’s Reflection (After Class)
What worked well? ___________________________________________
What needs improvement? ____________________________________
Students’ engagement level: ☑ High ☑ Medium ☑ Low