Mathematics - Junior Secondary 1 - Fractions continued

Fractions continued

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TERM: 1ST TERM

WEEK 6

Class: Junior Secondary School 1
Age: 12 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Fractions Continued
Focus: i. Ordering of Fractions
ii. Conversion of Fractions to Percentages and vice versa
iii. Conversion of Fractions to Decimals and vice versa

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

  1. Compare and arrange fractions in ascending and descending order.
  2. Convert fractions to percentages and vice versa.
  3. Convert fractions to decimals and decimals to fractions.
  4. Understand and apply these conversions in real-life situations.
  5. Solve quantitative problems involving these conversions.

INSTRUCTIONAL TECHNIQUES:
• Explanation and examples
• Number line demonstration
• Individual and group work
• Class discussion
• Drill exercises

INSTRUCTIONAL MATERIALS:
• Fraction and decimal charts
• Number lines
• Conversion tables
• Worksheets
• Flashcards
• Whiteboard and marker

 

PERIOD 1 & 2: Ordering of Fractions

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity#

Step 1 - Introduction

Reviews fraction knowledge

Pupils listen and respond

Step 2 - Explanation

Teaches comparison using same denominators or conversion

Pupils observe and ask questions

Step 3 - Number Line

Uses number line to order fractions

Pupils participate

Step 4 - Practice

Guides pupils through examples

Pupils copy and solve problems

NOTE ON BOARD:
• To order: Convert to same denominator or use decimal equivalents.
• Example: 1/2, 1/4, 3/4 → Convert to 2/4, 1/4, 3/4 → Order: 1/4, 1/2, 3/4

EVALUATION (5 exercises):

  1. Arrange: 1/3, 2/3, 1/6
  2. Order in ascending: 5/8, 1/2, 3/4
  3. Which is greater: 4/5 or 3/4?
  4. Arrange in descending: 2/5, 3/5, 1/5
  5. Use a number line to compare: 1/2 and 2/3

CLASSWORK (5 questions):

  1. Order: 1/6, 2/6, 5/6
  2. Which is smaller: 7/10 or 2/3?
  3. Arrange: 3/4, 1/4, 2/4
  4. Use decimal form to order: 0.25, 0.75, 0.5
  5. Solve: 2/3 > ?

ASSIGNMENT (5 tasks):

  1. Compare: 3/8 and 4/8
  2. Arrange: 2/3, 1/2, 1/3
  3. Write 5 fractions and order them

Draw a number line for 0 to 1 and mark 1/4, 1/2, 3/4

  1. Create a word problem on comparing fractions

 

PERIOD 3 & 4: Fraction to Percentage and Decimal

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Review

Recaps fractions

Pupils listen and respond

Step 2 - Explanation

Demonstrates conversions using formulas

Pupils follow and take notes

Step 3 - Practice

Converts fractions to % and decimals and vice versa

Pupils practice with support

Step 4 - Summary

Writes conversion rules on the board

Pupils copy and discuss

NOTE ON BOARD:
• Fraction → % = (fraction × 100)%
• Fraction → decimal = numerator ÷ denominator
• Example: 1/4 = 25%, 0.25

EVALUATION (5 exercises):

  1. Convert 1/2 to %
  2. Convert 3/5 to decimal
  3. Convert 0.75 to fraction
  4. Convert 25% to fraction
  5. Convert 2/5 to %

CLASSWORK (5 questions):

  1. 4/5 = ?%
  2. 3/10 = ? in decimal
  3. Convert 0.2 to fraction
  4. Change 50% to fraction
  5. 1/8 = ?%

ASSIGNMENT (5 tasks):

  1. Convert: 2/3, 1/5, 3/4 to percentage
  2. Convert: 0.5, 0.9, 0.25 to fractions
  3. Write 3 real-life examples using %
  4. Write 2 decimals and convert to fractions and %
  5. Create a table showing fraction–decimal–% for 5 examples

 

PERIOD 5: Mixed Applications

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Review

Combines ordering, conversions and comparison

Pupils participate actively

Step 2 - Practice

Solves real-life word problems

Pupils solve and share answers

Step 3 - Quiz

Conducts quick quiz on all areas

Pupils respond and correct mistakes

EVALUATION (5 questions):

  1. Convert 3/8 to %
  2. Order: 0.4, 2/5, 40%
  3. Which is greater: 3/4 or 70%?
  4. Convert 0.6 to %
  5. Change 1/2 to decimal and compare with 0.45

CLASSWORK (5 questions):

  1. Arrange: 0.5, 3/5, 60%
  2. Convert 5/10 to % and decimal
  3. Compare: 0.25 and 1/3
  4. What is 75% in fraction and decimal?
  5. Convert 2/10 to % and arrange with 0.1 and 10%

ASSIGNMENT (5 tasks):

  1. Create a table: fraction, decimal, %, arranged from smallest to largest
  2. Create a real-life problem using fractions and percentages
  3. Find 3 items at home and write their price as fractions and % of a budget
  4. Write 3 mixed numbers and convert to decimal

Solve: If a student scored 3/5 in a test, what’s the percentage score?