🎯 WALT (We Are Learning To)

Today we are learning to:

• Simplify fractions using the highest common factor (HCF)

• Convert between improper fractions and mixed numbers

• Convert between fractions, decimals, and percentages

📚 Part 1: Simplifying Fractions

What is simplifying fractions?

Simplifying fractions means writing them in their simplest form by dividing both the numerator (top number) and denominator (bottom number) by their highest common factor (HCF).

Example: Simplify 12/16

Step 1: Find factors of 12: 1, 2, 3, 4, 6, 12

Step 2: Find factors of 16: 1, 2, 4, 8, 16

Step 3: Find the HCF (highest common factor): 4

Step 4: Divide both numbers by 4: 12÷4 = 3, 16÷4 = 4

Step 5: Answer: 3/4

a) 8/12 = ________

b) 15/20 = ________

c) 18/24 = ________

Success Criteria: ✓ I can find the HCF of two numbers ✓ I can divide both numerator and denominator by the HCF ✓ I can write fractions in simplest form

🔄 Part 2: Converting Between Improper Fractions and Mixed Numbers

What are improper fractions and mixed numbers?

• Improper fraction: The numerator is larger than the denominator (e.g., 7/3)

• Mixed number: A whole number and a fraction together (e.g., 2 1/3)

Converting improper fraction to mixed number:

Example: 11/4

Step 1: Divide 11 ÷ 4 = 2 remainder 3

Step 2: Write as: 2 3/4 (2 whole, 3/4 left over)

Converting mixed number to improper fraction:

Example: 3 2/5

Step 1: Multiply whole number by denominator: 3 × 5 = 15

Step 2: Add the numerator: 15 + 2 = 17

Step 3: Write over original denominator: 17/5

a) 13/5 = ________

b) 17/6 = ________

a) 2 3/7 = ________

b) 4 1/8 = ________

Success Criteria: ✓ I understand the difference between improper fractions and mixed numbers ✓ I can convert improper fractions to mixed numbers ✓ I can convert mixed numbers to improper fractions

🔢 Part 3: Converting Between Fractions, Decimals, and Percentages

Key conversions to remember:

• To convert fraction to decimal: Divide numerator by denominator

• To convert decimal to percentage: Multiply by 100

• To convert percentage to fraction: Write over 100 and simplify

Example: Convert 3/5 to decimal and percentage

Fraction to decimal: 3 ÷ 5 = 0.6

Decimal to percentage: 0.6 × 100 = 60%

Fraction	Decimal	Percentage
1/4	________	________
________	0.75	________
________	________	40%

Which is equivalent to 1/2?

Which is equivalent to 75%?

Success Criteria: ✓ I can convert fractions to decimals ✓ I can convert decimals to percentages ✓ I can convert percentages to fractions ✓ I can recognise equivalent values

🌟 Part 4: Real-World Applications

a) In a Year 7 class of 25 students, 3/5 of the students walk to school. How many students is this? What percentage of the class walks to school?

b) A pizza is cut into 8 equal slices. If you eat 3 slices, what fraction of the pizza did you eat? Write this as a decimal and percentage.

c) A rugby team wins 12 out of 20 games. Express this as a simplified fraction, decimal, and percentage.

🚀 Extension Activities (Advanced Learners)

a) Convert 2 3/8 to a decimal and percentage. Show all working.

b) Order these from smallest to largest: 7/10, 0.65, 72%, 3/4

c) A recipe calls for 1 1/4 cups of flour. If you want to make 2/3 of the recipe, how much flour do you need? Express as a mixed number and decimal.

🎯 Self-Assessment & Reflection

Simplifying fractions:

Converting between improper fractions and mixed numbers:

Converting between fractions, decimals, and percentages:

📋 Teacher Notes: Differentiation Strategies

For students needing support:

• Provide fraction strips or visual aids

• Work through examples step-by-step together

• Focus on questions 1-5 initially

• Use calculators for division when converting fractions to decimals

For advanced learners:

• Complete all extension activities

• Create their own real-world fraction problems

• Explore recurring decimals (e.g., 1/3 = 0.333...)

• Investigate fractions in different cultures or historical contexts

Dyslexia-friendly features included:

• Clear, simple language

• Step-by-step instructions

• Plenty of white space

• Visual examples and tables

• Success criteria clearly stated