Decimals and Fractions: Making Connections
Grade 4 Mathematics Exploring the relationship between decimals and fractions 45-minute lesson
Learning Objectives - I Can Statements
I can convert decimals to fractions with denominators of 10 and 100 I can convert fractions with denominators of 10 and 100 into decimals I can model and explain the equivalence between decimals and fractions I can use visual models to show my understanding
Warm-Up: What Do You See?
Look at the grid with 30 squares shaded out of 100 Think: What fraction does this represent? Pair-Share: Discuss with your neighbor Write your answer on your whiteboard
The Big Connection: Place Value
Fractions with denominators 10 or 100 connect to decimal place value 3/10 = 0.3 (3 in the tenths place) 47/100 = 0.47 (47 in the hundredths place) The denominator tells us the decimal place value!
Converting Between Forms
{"left":"Fraction to Decimal: Look at the denominator - is it 10 or 100?\nPut the numerator in the correct decimal place\nAdd zeros if needed: 7/100 = 0.07","right":"Decimal to Fraction: Count decimal places\n1 place = tenths (denominator 10)\n2 places = hundredths (denominator 100)"}
Practice Time: You Try It!
Convert these decimals to fractions: 0.6, 0.25, 0.9 Convert these fractions to decimals: 8/10, 34/100, 5/10 Use your grid paper or fraction strips to help Explain your thinking to a partner
Think and Discuss
Why does 0.50 equal 50/100 AND 5/10? How can the same amount be written as different fractions? What does this tell us about equivalent fractions?
Success Criteria Check & Next Steps
Can you convert 0.7 to a fraction? (7/10) Can you convert 25/100 to a decimal? (0.25) Can you explain why they're equivalent using place value? Extension: Try simplifying 50/100 to 1/2, then to 0.5