Division Assignment: Codebreaker Fours!
Year 3: 4 Times Table Division Facts
Top Secret: Division by 4
Agent, your mission is to solve these division problems. Knowing your 4 times table will help you crack these codes quickly! For example, if you know 4 x 8 = 32, then you know 32 ÷ 4 = 8.
Standard Protocol:
Randomized Targets:
Divide and Conquer: Mastering Division by 4!
Hi Super Solvers! You were fantastic learning your 4 times table for multiplication, especially with the “double-double” trick. Now, get ready to use that knowledge (and a cool new “halve-halve” trick!) to become a champion at dividing by 4! Remember, division is the inverse (or opposite) of multiplication, so if you know your 4x facts, you’re already on your way!
Multiplication’s Best Friend: How it Helps with Dividing by 4
When you see a division problem like “32 ÷ 4 = ?”, it’s asking, “How many groups of 4 can fit into 32?” or “What number, when multiplied by 4, gives me 32?” Your 4 times table multiplication facts hold the key!
If you know: 8 × 4 = 32
Then you instantly know the division fact: 32 ÷ 4 = 8
They belong to the same “fact family”!
Division Facts for the 4 Times Table (up to 48÷4):
- 4 ÷ 4 = 1
- 8 ÷ 4 = 2
- 12 ÷ 4 = 3
- 16 ÷ 4 = 4
- 20 ÷ 4 = 5
- 24 ÷ 4 = 6
- 28 ÷ 4 = 7
- 32 ÷ 4 = 8
- 36 ÷ 4 = 9
- 40 ÷ 4 = 10
- 44 ÷ 4 = 11
- 48 ÷ 4 = 12
Amazing Tricks for Recalling Division by 4 Facts!
- Think Multiplication First! This is your number one strategy! When you see “28 ÷ 4 = ?”, immediately ask yourself: “What number times 4 equals 28?” (The answer is 7, so 28 ÷ 4 = 7).
- The “Halve-Halve” Trick! Just like multiplying by 4 is “double-double,” dividing by 4 is the opposite: halve the number, then halve the answer! This works because dividing by 4 is the same as dividing by 2, and then dividing by 2 again.
- Example: For 32 ÷ 4:
- Half of 32 is 16.
- Half of 16 is 8.
- So, 32 ÷ 4 = 8! Fantastic!
- Example: For 32 ÷ 4:
- Counting in Fours (Backwards or Forwards): If you’re stuck on 20 ÷ 4, you can count up in fours (4, 8, 12, 16, 20 – that was 5 jumps) or try to count backwards from 20 in steps of 4.
- Sharing into 4 Equal Groups: Imagine you have a number of items and want to share them fairly into 4 groups. How many in each group? That’s dividing by 4.
Practice Your Division by 4 Power! (18 Questions)
Time to show off your brilliant division by 4 skills! Here are 18 quick questions. Try using the “halve-halve” trick or your multiplication knowledge. You can do it!
(Your web app with the 18 questions will go here. Questions should be recall-based, like “36 ÷ 4 = ?”, “? ÷ 4 = 5”, or “How many groups of 4 are in 16?”.)
Why is Knowing Your Division by 4 Facts So Helpful?
- Speeds Up Division: Quick recall is essential for more complex division problems later on.
- Helps with Quarters and Fractions: Understanding how to divide by 4 helps when you learn about finding a quarter (1/4) of something.
- Real-World Problem Solving: Sharing things into four groups, working out how many teams of four you can make, etc.
- Boosts Your Maths Brain: Every set of facts you master makes your brain stronger and more flexible!
Tips for Grown-Ups: Making Division by 4 Practice Fun!
A strong recall of 4 times table multiplication facts and understanding the “halve-halve” strategy are key to mastering division by 4.
- Champion the “Halve-Halve” Trick: This is often a very intuitive method for children who are comfortable with halving.
- Link to Multiplication Always: Continuously ask, “What times 4 gives you that number?” to reinforce the inverse relationship.
- Fact Family Fun: Use triangle flashcards (e.g., with 4, 7, 28) to show all four related multiplication and division facts.
- Practical Sharing: Use real objects (buttons, pasta, toys) and ask your child to share them into 4 equal groups.
- Quick Quizzes: Mix division by 4 questions with multiplication by 4 questions to keep them on their toes!
- Celebrate “Aha!” Moments: When they successfully use a trick like “halve-halve” or link to multiplication, praise their clever thinking!