What to notice
Every starting number is even, and its half is even too: 36 halves to 18, 20 halves to 10. If the first half is odd, as when 30 halves to 15, the number does not divide by 4 with nothing left over.
Dividing by 4 is finding a quarter, so 20 ÷ 4 = 5 says the same thing as “a quarter of 20 is 5”. That link helps when fractions arrive later in 3rd grade.
The starting numbers go up by four: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48. The answers simply count from 1 to 12.
Every fact here also has a partner on the divide-by-2 page with double the answer: 32 ÷ 4 = 8 and 32 ÷ 2 = 16. Putting the two lists side by side shows that sharing among more people gives each person less, an idea that comes back with fractions, where a quarter is smaller than a half.
How to practise at home
- Do the double half with paper: fold a strip of 24 squares in half, then in half again, and count one section.
- Use money. Four quarters make a dollar, so “twelve quarters is how many dollars?” is 12 ÷ 4.
- Pair each fact with its partner from the 2s: 32 ÷ 2 and 32 ÷ 4 side by side. One answer is half the other.
- Use the drill on this page; for any slow fact, say the halving steps aloud once, then try it again.
- Tell sharing stories with four of something your child knows: four chairs at the table, four grandparents, four seasons. “28 stickers shared among the four of us, how many each?” turns 28 ÷ 4 into a real question with a check at the end: count your pile.
- Ask for the matching multiplication fact after each answer: “28 ÷ 4 is 7, because 4 × 7 = 28.” Saying the pair keeps the two tables tied together.
Slips to watch for
- Halving only once and answering 14 for 28 ÷ 4, which is 28 ÷ 2. Count the halvings: one, two.
- Swapping neighbours, such as 7 for 24 ÷ 4 or 6 for 28 ÷ 4. Say the multiplication fact: 4 × 6 = 24.
- Answering 0 for 4 ÷ 4. A number divided by itself is 1: four cookies shared among four people is one each.