X Tables
Times Table Methods

Flashcards that actually teach

Design flashcards with arrays, fact families, example problems and reflection prompts.

Quick answer

Flashcards that actually teach use arrays, fact families, example problems, and reflection prompts to help children understand multiplication, not just memorise it.

Learning outcome

By the end of this page, you will understand how to use flashcards with arrays, fact families, and example problems to learn multiplication facts more deeply, so you can solve real maths problems and explain your thinking.

Why this matters

Flashcards are a powerful way to learn times tables, but only if they help you understand the maths behind the numbers. When you use flashcards that show arrays (like groups of objects), fact families (like 3 x 4 = 12, 4 x 3 = 12, 12 ÷ 3 = 4, 12 ÷ 4 = 3), example problems, and reflection prompts, you build a strong understanding of multiplication. This helps you solve bigger maths problems later and use maths in everyday life.

How it works

Using flashcards that actually teach means you don’t just memorise a fact. You look at the picture or problem and think about what it means. Here’s how to make your own flashcards with deep learning: 1. Draw an array – Show 3 rows of 4 stars or 4 groups of 5 blocks. 2. Write the fact family – Show how 3 x 4 = 12, 4 x 3 = 12, 12 ÷ 3 = 4, and 12 ÷ 4 = 3. 3. Give a real-life example – Like "3 boxes with 4 apples each = 12 apples". 4. Add a reflection prompt – Like "How can I use this in my day?" or "What pattern do you see?"

Examples you can see

Let’s look at a 4 x 5 flashcard. Here’s how it would look: Front of card: - An array: 4 rows of 5 stars - Example problem: “I have 4 boxes with 5 stickers in each box. How many stickers do I have?” - Reflection prompt: “Can you think of another way to count these stickers?” Back of card: - Fact family: - 4 x 5 = 20 - 5 x 4 = 20 - 20 ÷ 4 = 5 - 20 ÷ 5 = 4 - Real-life use: “If you have 4 friends and each gets 5 sweets, how many sweets do you need?”

Try it as a mini adventure

Let’s go on a maths treasure hunt! You are a young explorer looking for 5 hidden treasures. Each treasure chest is locked with a multiplication code. 1st time: You find a chest with 3 rows of 4 golden coins. How many coins are there? (3 x 4 = 12) 2nd time: You find another chest with 5 rows of 3 silver coins. How many coins are there? (5 x 3 = 15) 3rd time: You find a chest with 6 groups of 2 bronze coins. How many coins are there? (6 x 2 = 12) 4th time: You find a chest with 4 groups of 4 coins. How many coins are there? (4 x 4 = 16) 5th time: You find a chest with 2 rows of 7 coins. How many coins are there? (2 x 7 = 14) Now, write down the fact family for one of your discoveries, like 3 x 4 = 12, 4 x 3 = 12, 12 ÷ 3 = 4, 12 ÷ 4 = 3.

Common mistakes

  • Mistake: Thinking that 4 x 5 = 20 and 5 x 4 = 20 are different facts. Why it happens: Not understanding that multiplication is commutative. Fix: Use arrays to show that 4 rows of 5 is the same as 5 rows of 4.
  • Mistake: Just memorising facts without understanding what they mean. Why it happens: Flashcards with only numbers, no pictures or examples. Fix: Always include arrays and real-life examples on your cards.
  • Mistake: Not connecting multiplication to division. Why it happens: Thinking of multiplication and division as separate topics. Fix: Show how 3 x 4 = 12 and 12 ÷ 3 = 4 are related.
  • Mistake: Skipping reflection prompts. Why it happens: Rushing through flashcards. Fix: Always ask yourself, “What did I learn?” or “How can I use this?”

Parent and carer guide

As a parent or carer, you can help your child use flashcards that actually teach by: - Looking at the arrays together – Ask your child to count the rows and columns. - Writing fact families – Help them write all the related multiplication and division facts. - Using real-life examples – Ask, “How can you use this in your play or at home?” - Encouraging reflection – Ask, “What pattern did you see?” or “Can you think of another way to solve this?” - Not rushing – Let your child take their time to understand each card. - Practising with games – Use flashcards as a game to make learning fun.

Practice questions

  1. Draw an array for 6 x 3 and write the fact family.
  2. Write a real-life example for 7 x 4.
  3. What is the fact family for 5 x 6?
  4. How many groups of 8 are in 40? Write the division fact.
  5. What is 11 x 3? What is 3 x 11?
Answers:
  1. Array: 6 rows of 3 dots. Fact family: 6 x 3 = 18, 3 x 6 = 18, 18 ÷ 3 = 6, 18 ÷ 6 = 3
  2. Example: “I have 7 boxes with 4 toys in each box. How many toys do I have?”
  3. 5 x 6 = 30, 6 x 5 = 30, 30 ÷ 5 = 6, 30 ÷ 6 = 5
  4. 40 ÷ 8 = 5, so there are 5 groups of 8 in 40
  5. 11 x 3 = 33, 3 x 11 = 33

FAQ

What makes flashcards that actually teach different from regular ones?

Regular flashcards only show numbers or words. Teaching flashcards show arrays, real-life examples, fact families, and reflection prompts so you understand what multiplication means.

Can I use flashcards for all times tables?

Yes! You can make flashcards for any times table from 0 to 12. Just use arrays, fact families, and examples for each one.

How can I make my own teaching flashcards?

Draw arrays on one side, write the fact family and a real-life example on the other. Add a reflection prompt like “What pattern do you see?” or “How can you use this in your day?”

Are flashcards good for learning times tables?

Yes! Flashcards are great if they help you understand the maths, not just memorise. Use them with arrays, fact families, and real-life examples.

How can I help my child with flashcards at home?

Ask questions about the arrays, help them write fact families, think of real-life uses, and encourage them to reflect on what they learned.

0 x n 1 x n 2 x n 3 x n 4 x n 5 x n 6 x n 7 x n 8 x n 9 x n 10 x n 11 x n 12 x n
0 x 0 = 0 1 x 0 = 0 2 x 0 = 0 3 x 0 = 0 4 x 0 = 0 5 x 0 = 0 6 x 0 = 0 7 x 0 = 0 8 x 0 = 0 9 x 0 = 0 10 x 0 = 0 11 x 0 = 0 12 x 0 = 0
0 x 1 = 0 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12
0 x 2 = 0 1 x 2 = 2 2 x 2 = 4 3 x 2 = 6 4 x 2 = 8 5 x 2 = 10 6 x 2 = 12 7 x 2 = 14 8 x 2 = 16 9 x 2 = 18 10 x 2 = 20 11 x 2 = 22 12 x 2 = 24
0 x 3 = 0 1 x 3 = 3 2 x 3 = 6 3 x 3 = 9 4 x 3 = 12 5 x 3 = 15 6 x 3 = 18 7 x 3 = 21 8 x 3 = 24 9 x 3 = 27 10 x 3 = 30 11 x 3 = 33 12 x 3 = 36
0 x 4 = 0 1 x 4 = 4 2 x 4 = 8 3 x 4 = 12 4 x 4 = 16 5 x 4 = 20 6 x 4 = 24 7 x 4 = 28 8 x 4 = 32 9 x 4 = 36 10 x 4 = 40 11 x 4 = 44 12 x 4 = 48
0 x 5 = 0 1 x 5 = 5 2 x 5 = 10 3 x 5 = 15 4 x 5 = 20 5 x 5 = 25 6 x 5 = 30 7 x 5 = 35 8 x 5 = 40 9 x 5 = 45 10 x 5 = 50 11 x 5 = 55 12 x 5 = 60
0 x 6 = 0 1 x 6 = 6 2 x 6 = 12 3 x 6 = 18 4 x 6 = 24 5 x 6 = 30 6 x 6 = 36 7 x 6 = 42 8 x 6 = 48 9 x 6 = 54 10 x 6 = 60 11 x 6 = 66 12 x 6 = 72
0 x 7 = 0 1 x 7 = 7 2 x 7 = 14 3 x 7 = 21 4 x 7 = 28 5 x 7 = 35 6 x 7 = 42 7 x 7 = 49 8 x 7 = 56 9 x 7 = 63 10 x 7 = 70 11 x 7 = 77 12 x 7 = 84
0 x 8 = 0 1 x 8 = 8 2 x 8 = 16 3 x 8 = 24 4 x 8 = 32 5 x 8 = 40 6 x 8 = 48 7 x 8 = 56 8 x 8 = 64 9 x 8 = 72 10 x 8 = 80 11 x 8 = 88 12 x 8 = 96
0 x 9 = 0 1 x 9 = 9 2 x 9 = 18 3 x 9 = 27 4 x 9 = 36 5 x 9 = 45 6 x 9 = 54 7 x 9 = 63 8 x 9 = 72 9 x 9 = 81 10 x 9 = 90 11 x 9 = 99 12 x 9 = 108
0 x 10 = 0 1 x 10 = 10 2 x 10 = 20 3 x 10 = 30 4 x 10 = 40 5 x 10 = 50 6 x 10 = 60 7 x 10 = 70 8 x 10 = 80 9 x 10 = 90 10 x 10 = 100 11 x 10 = 110 12 x 10 = 120
0 x 11 = 0 1 x 11 = 11 2 x 11 = 22 3 x 11 = 33 4 x 11 = 44 5 x 11 = 55 6 x 11 = 66 7 x 11 = 77 8 x 11 = 88 9 x 11 = 99 10 x 11 = 110 11 x 11 = 121 12 x 11 = 132
0 x 12 = 0 1 x 12 = 12 2 x 12 = 24 3 x 12 = 36 4 x 12 = 48 5 x 12 = 60 6 x 12 = 72 7 x 12 = 84 8 x 12 = 96 9 x 12 = 108 10 x 12 = 120 11 x 12 = 132 12 x 12 = 144