Grade 4 Mathematics Unit 2 | Fractions and Decimals
Original five-day student text. Study the explanation and model before attempting practice. This extends the existing Unit 1 without replacing it. It is not a complete Grade 4 course.
Day 1: Equivalent fractions and visual models
Learn
Multiply the numerator and denominator by the same nonzero number to make an equivalent fraction. For example, 3/4 = 6/8. A picture of 3 shaded quarters becomes 6 shaded eighths if each quarter is divided in half.
Worked example
Draw a rectangle divided into four equal columns and shade three. Split each column into two equal parts. Six out of eight parts remain shaded.
Think and explain
Explain this model using a picture or new example, then attempt the matching practice independently.
Day 2: Compare and order fractions
Learn
Fractions can be compared using equal wholes, common denominators, benchmark fractions or equivalent fractions. The larger numerator wins only if denominators are equal.
Worked example
Compare 5/6 and 3/4. Rewrite as 10/12 and 9/12. Because 10/12 > 9/12, we know 5/6 > 3/4.
Think and explain
Explain this model using a picture or new example, then attempt the matching practice independently.
Day 3: Add and subtract fractions with like denominators
Learn
For equal-sized fractional pieces, add or subtract numerators and keep the common denominator. Simplify when possible. Never add the denominators.
Worked example
3/10 + 4/10 = 7/10. And 9/12 – 5/12 = 4/12 = 1/3.
Think and explain
Explain this model using a picture or new example, then attempt the matching practice independently.
Day 4: Tenths, hundredths and decimal equivalents
Learn
A decimal shows parts of one whole. 0.1 is one tenth, 0.01 is one hundredth, and 0.6 equals 0.60. Compare decimals by aligning place values.
Worked example
37/100 = 0.37. Also 0.6 = 6/10 = 60/100. Therefore 0.54 is smaller than 0.60.
Think and explain
Explain this model using a picture or new example, then attempt the matching practice independently.
Day 5: Independent unit assessment
Learn
Complete without referring to examples. Show a model or reasoning for the last three items. Record whether each response is independent or prompted.
Worked example
Assessment directions: use scrap paper for fraction drawings and label any measurement units.
Think and explain
Explain this model using a picture or new example, then attempt the matching practice independently.
Next: complete the separate daily practice and review results with a parent or teacher.