Algebraic Expressions (Continued)

Grade 8 · Mathematics

Semester 1 | Period 2 | Week 11

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Subject: Mathematics

Semester: 1

Period: 2

Week: 11

WEEK 11

Class: Grade 8
Age: 13 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Algebraic Expressions Continued
Focus: Word Problems Leading to Simple Algebraic Fractions

SPECIFIC OBJECTIVES:

By the end of the lesson, pupils should be able to:

  1. Apply algebraic fractions in real-life word problems.
  2. Translate word problems into algebraic expressions.
  3. Solve word problems involving algebraic fractions.
  4. Perform addition and subtraction in the context of word problems.
  5. Practice solving word problems that involve quantitative reasoning.

INSTRUCTIONAL TECHNIQUES:

  • Problem-solving approach
    • Step-by-step guide
    • Real-life examples
    • Class discussion

INSTRUCTIONAL MATERIALS:

  • Whiteboard and marker
    • Word problem worksheets
    • Flashcards with word problems
    • Quantitative reasoning charts

 

PERIOD 1 & 2: Translating Word Problems into Algebraic Expressions

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces how to convert word problems into algebraic expressions.

Pupils listen and discuss examples.

Step 2 - Explanation

Demonstrates with word problems like "A box contains 5 apples, and another box contains x apples. How many apples are there in total?"

Pupils follow examples and discuss solutions.

Step 3 - Practice

Pupils practice solving word problems and converting them into algebraic expressions.

Pupils work on word problems individually.

EVALUATION (5 exercises):

  1. If a person has 3x apples, and buys 5 more, write an expression for the total apples.
  2. If 5y – 3 = 17, solve for y.
  3. If a person divides x by 5, what fraction represents this?
  4. Write an expression for the total cost of 3 pens, where each pen costs 2x.
  5. Simplify the expression: 5x +3x

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CLASSWORK (5 questions):

  1. Translate this word problem into an algebraic expression: "A total of y apples are shared among 5 people."
  2. If a pencil costs x, what is the total cost of 3 pencils?
  3. If a box holds 3x apples, how many apples are there in 5 boxes?
  4. Solve for x: 4x+2=144x + 2 = 14.
  5. Write an algebraic fraction for "a divided by b."

ASSIGNMENT (5 tasks):

  1. Write an expression for the total cost of 4 pens at y dollars each.
  2. If a box holds 5x5x apples, how many apples are in 3 boxes?
  3. Solve: 2x+6=162x + 6 = 16.
  4. Translate the phrase "a bag contains twice the number of apples as another" into an algebraic expression.
  5. Solve: 5y + 3y

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