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Red Minimalist Superpower Maths Book Instagram Post

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I used factors of 36 to make friendlier numbers to multiply. 25 is easy to multiply by 4. Then I multiplied that product by 9. 😀

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My students who struggle with the steps of the standard algorithm really like and are successful with the "box method"

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Standard algorithm on lined paper to help line up place value. 

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____ = 25 x 36

____ = 50 x 18

900= 100 x 9

The beauty of the Multiplicative Inverse to generate equivalent expressions!

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25x36=

(5x5) x (6x6)=

(5x6) x (5x6)=

30x 30= 900

Flexible Factoring

Students decompose each factor multiplicatively into smaller factors. Using the associative property, students reassociate the factors to make an equivalent, easier problem to solve.

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24 x 36 = (30-6)(30+6)

= 900 - 36

= 864

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Area model is my go to strategy.

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Based on the associative property, this approach enables students to divide rectangles into equal sections and rearrange the area to form a simpler problem. Another approach is multiplying one factor by a number and dividing the other by the same number. 

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Red Minimalist Superpower Maths Book Instagram Post

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I rounded the addends to make the mental addition easier. Then adjusted for the rounding by subtracting the difference between the rounded numbers from my sum.

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Red Minimalist Superpower Maths Book Instagram Post (1)