Fractions, Decimals and Percentages Connected

Fractions, Decimals and Percentages Connected

Year 5 Mathematics Understanding the connections between different number representations 45-minute learning journey

Learning Intentions - Lesson 1

We are learning that fractions, decimals and percentages can represent the same value Success Criteria: I can identify equivalent fractions, decimals and percentages I can match representations that show the same value

Think-Pair-Share

Where have you seen fractions, decimals, and percentages in everyday life? Think for 30 seconds, then share with a partner Be ready to share one example with the class

The Same Value, Different Ways

Hundred Grid Exploration

Use your hundred grid to show 25/100 Color in the squares What decimal does this represent? What percentage? Record your findings

What We Discovered

25/100 = 0.25 = 25% The hundred grid helps us see the connection All three show the same amount Different ways, same value!

Matching Challenge

{"left":"1/2\n0.5\n50%\n3/4\n0.75","right":"75%\n1/4\n0.25\n25%"}

Learning Intentions - Lesson 2

We are learning to convert between fractions, decimals and percentages Success Criteria: I can convert between fractions, decimals and percentages I can explain the strategy I used

Converting Fractions to Decimals

Divide the numerator by the denominator 1/2 = 1 ÷ 2 = 0.5 3/4 = 3 ÷ 4 = 0.75 1/4 = 1 ÷ 4 = 0.25

Practice Converting

Convert these fractions to decimals: 1/5 = ? 2/5 = ? 4/5 = ? Show your working and explain your method

Converting Decimals to Percentages

Multiply the decimal by 100 0.5 × 100 = 50% 0.25 × 100 = 25% 0.75 × 100 = 75% Move the decimal point two places right!

Quick Convert Challenge

Convert these decimals to percentages: 0.3 = ? 0.8 = ? 0.15 = ? Time limit: 2 minutes!