Multiplication strategies
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Intros
Lessons
- Introduction to Multiplication Strategies:
- Using addition and arrays to understand multiplication
- Breaking down multiplication facts into smaller groupsr
- A product can be found using a smaller product and a sum
- A product can be found using a bigger product and a difference
- Patterns to know for memorizing multiples of 9
- Finger method of 9 times tables
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Examples
Lessons
- Understanding products using smaller products
Turn the product into the sum of two smaller group products. - Describing multiplication array models - 1
Fill in the blanks to describe:- the product shown in the array and
- the sum written with the smaller product
- 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. - Multiplication and array models with subtraction
Fill in the blanks to turn the product into a bigger product and a difference. - Relating multiplication and addition concepts
Find the answer using the given product. - Multiplication with 9-times tables strategy: word problems
Use the finger method for 9-times tables to solve.- If you put down the fourth finger, what is the 9-times tables multiplication sentence that is represented?
- 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
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Practice
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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 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:
- Using the same array model, we can find the next multiplication fact by adding another row:
- Therefore, a product can be found as a smaller product and a sum
- Or, it could be found as a bigger product and a difference
- 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 ∥ 54, 63, 72, 81, 90
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