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Printable Calculation Strategies Worksheets:
Addition Strategies
Subtraction Strategies
Multiplication Strategies
Division Strategies
Free printable and online math worksheets to help students learn how to apply the different multiplication strategies or short cuts to solving problems.
Multiplication is a fundamental operation in mathematics, and there are various strategies that can help make it more efficient for students. Here are some multiplication strategies and worksheets:
Repeated Addition: Multiplication can viewed as repeated addition. For example, 3×4 can be thought of as 4+4+4.
Multiplication as Repeated Addition
Skip Counting: Skip counting involves counting by a certain number repeatedly.
Skip Count by 2 (Even) (eg. 2, __, 6)
Skip Count by 2 (Odd) (eg. 1, __, 5)
Skip Count by 3 (eg. 3, __, 9)
Skip Count by 4 (eg. 4, __, 12)
Skip Count by 5 (eg. 5, __, 15)
Skip Count by 6 (eg. 6, __, 18)
Skip Count by 7 (eg. 7, __, 21)
Skip Count by 8 (eg. 8, __, 24)
Skip Count by 9 (eg. 9, __, 27)
Skip Count by 10 (eg. 10, __, 30)
Arrays: Visualizing multiplication using arrays helps students see the relationship between rows and columns.
Represent Multiplication using Arrays
Meaning of Factors
Commutative Property using Array Model
Multiplying by Powers of 10: When multiplying by powers of 10 (e.g., 10, 100, 1000), students can shift digits to the left accordingly.
Multiply by 10
Multiply by 10, 100 or 1000
Multiply by Powers of 10
Know the basic Multiplication Facts: Memorize and recall these facts quickly.
Multiply by 2
Multiply by 3
Multiply by 4
Multiply by 5
Multiply by 6
Multiply by 7
Multiply by 8
Multiply by 9
Multiply by 10
Multiply by 1-9
Use of Known Facts: Knowing basic multiplication facts can help students quickly solve more complex problems by building on what they already know. For example, if they know 2 x 3 then they also know 2 x 30.
Multiply by Multiples of 10 (eg. 6 x 30)
Multiplying Multiples of 10, 100, 1000 (eg. 70 x 400)
Associative Property: The associative property allow students to group numbers in a way that makes the calculation easier because the grouping of numbers in multiplication does not affect the result. For example, 16 x 3 = (8 x 2) x 3 = 8 x (3 x 2)
Multiplication & Associative Property
Distributive Property: The distributive property allows students to break down multiplication into simpler operations. For example, 5 x 23 can be expressed as 5 x (20 + 3) = (5 x 20) + (5 x 3)
Partial Products: Breaking down multiplication into partial products can make it more manageable. For example, 182 x 3 = 300 + 240 + 6
Multiply using Partial Products
Lattice Multiplication: Lattice multiplication is a method that involves creating a grid to multiply numbers. It provides a structured way to organize the steps of multiplication.
Area Model: Similar to arrays, the area model breaks down multiplication into the areas of rectangles. It helps visualize the multiplication process.
Encourage students to explore different strategies and find the ones that work best for them. Flexibility in multiplication strategies not only improves understanding but also fosters a deeper mathematical fluency.
Have a look at this video if you need help on how to use some of the multiplication strategies.
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