Add and subtract fractions with like denominators. Start with manipulatives and pictures, then move away from them. Understand that a fraction, such as 4/7 can be made from multiple addends. For example 1/7 + 1/7 + 2/7.
Add and subtract mixed numbers with like denominators. Start with manipulatives and pictures, then gradually move away from them.
Solve word problems involving addition and subtraction with like denominators. No mixed numbers here. That is, all numbers are within 1 (the whole).
This standard is poorly summarized. The substandards are much more informative.
Watch these Khan Academy videos:
- Adding fractions with like denominators
- Fraction word problem: spider eyes
- Fraction word problem: piano
- Fraction word problem: lizard
- Subtracting fractions with like denominators
- Adding mixed numbers with like denominators
- Subtracting mixed numbers with like denominators
- Writing improper fractions as mixed numbers
- Writing mixed numbers as improper fractions
- Comparing improper fractions and mixed numbers
- Decomposing a fraction visually
- Decomposing a mixed number
Do these Khan Academy exercises:
- Add fractions with common denominators
- Add and subtract fractions word problems (same denominator)
- Add and subtract mixed numbers (with regrouping)
- Subtract fractions with common denominators
- Add and subtract mixed numbers (no regrouping)
- Write mixed numbers and improper fractions
- Decompose fractions visually
- Decompose fractions
- Add and subtract mixed numbers word problems (like denominators)
Next, give your students these challenges:
- Sort the Street by NRICH
- Unexpected Ordering by NRICH
Conclude by leading this investigation:
ConHex (strategy game)
by MathPickle
4.NF.B.3: Understand a fraction a/b with a > 1 as a sum of fractions 1/b.