1. Home
  2. >Year 4 Maths
  3. >Multiplying and Dividing Numbers
Help

Multiplication strategies

All in One Place

Everything you need for better marks in university, secondary, and primary classes.

Learn with Ease

We’ve mastered courses for WA, NSW, QLD, SA, and VIC, so you can study with confidence.

Instant and Unlimited Help

Get the best tips, walkthroughs, and practice questions.

0/6
?
Intros
Lessons
  1. Introduction to Multiplication Strategies:
  2. Using addition and arrays to understand multiplication
  3. Breaking down multiplication facts into smaller groupsr
  4. A product can be found using a smaller product and a sum
  5. A product can be found using a bigger product and a difference
  6. Patterns to know for memorizing multiples of 9
  7. Finger method of 9 times tables
0/13
?
Examples
Lessons
  1. Understanding products using smaller products
    Turn the product into the sum of two smaller group products.
    1. 8 × 4 = (5 × 4) + ( __ × 4)
      \qquad \qquad = _____ + _____
      \qquad \qquad = _______
    2. 12 × 12 = (10 × 12) + ( __ × 12)
      \qquad \qquad = _______ + _______
      \qquad \qquad = _______
    3. 20 × 35 = (10 × 35) + ( __ × 35)
      \qquad \qquad = _______ + _______
      \qquad \qquad = _______
  2. Describing multiplication array models - 1
    Fill in the blanks to describe:
    1. the product shown in the array and
    2. the sum written with the smaller product

    1. Multiplication Strategies

    2. Multiplication Strategies
  3. Describing multiplication array models - 2
    Fill in the blanks to turn the product into a smaller product and sum.
    Use an array model to help fill in the blanks.
    1. 5 × 3 = ( __ × 3) + 3
      \qquad \qquad = _______ + 3
      \qquad \qquad = _______
    2. 11 × 12 = ( __ × 12) + __
      \qquad \qquad = _______ + ____
      \qquad \qquad = _______
  4. Multiplication and array models with subtraction
    Fill in the blanks to turn the product into a bigger product and a difference.
    1. 9 × 6 = ( __ × 6) - 6
      \qquad \qquad = _______ + ____
      \qquad \qquad = _______
    2. 9 × 27 = ( __ × 27) - 27
      \qquad \qquad = _______ - ____
      \qquad \qquad = _______
  5. Relating multiplication and addition concepts
    Find the answer using the given product.
    1. If 6 × 86 = 516 , what is 7 × 86 = ?
    2. If 10 × 53 = 530 , what is 9 × 53 = ?
  6. Multiplication with 9-times tables strategy: word problems
    Use the finger method for 9-times tables to solve.
    1. If you put down the fourth finger, what is the 9-times tables multiplication sentence that is represented?
    2. If you put down the fourth finger, it represents a 9-times table fact. What finger do you need to put down for the opposite answer (when the answer's digits are flipped/mirrored)? Write the multiplication sentence for the 9-times table fact with the opposite answer
0%
?
Practice
Topic Notes
?

In this lesson, we will learn:

  • Understanding multiplication using arrays
  • Representing a product as either: (1) a smaller product and a sum, or (2) a bigger product and a difference
  • Tips and tricks for memorizing the 9 × multiplication table facts

Notes:

  • Multiplication is just repeated addition
Multiplication Strategies
  • Multiplication facts can be shown in an array model with circles/dots
    • Using the array model, it shows that multiplication facts can be broken into groups of smaller multiplication facts:
Subtraction Strategies
    • Using the same array model, we can find the next multiplication fact by adding another row:
Subtraction Strategies
  • Therefore, a product can be found as a smaller product and a sum
Subtraction Strategies
    • Or, it could be found as a bigger product and a difference
Subtraction Strategies
  • The 9 × multiplication tables can be memorized using your fingers!
    • Notice that the first ten multiples of 9 are mirrored after the 5-digit in 45
    • Ex. 9, 18, 27, 36, 45 ∥\parallel 54, 63, 72, 81, 90