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Grade 4 Unit 3 – Multiplication Facts Parent Pipeline Outcome N4: Explain the properties of 0 and 1 for multiplication and the property of 1 for division. Outcome N5: Describe and apply mental math strategies such as: skip counting from a known fact using doubling or halving using doubling or halving and adding or subtracting one more group using patterns in the 9s facts to determine basic multiplication facts to 9 x9 and related division facts. For these outcomes, students are required to think about strategies that can help them solve basic multiplication facts so that they can answer them quickly and efficiently. By the end of grade 4, students will be required to answer 15 mixed multiplication and division facts in 2 minutes. They also will be required to know their basic facts for unit 8, which deals with multiplication and division of larger numbers. Therefore, these strategies are extremely important for students to understand. Students can read multiplication sentences like 2 x 3 as ‘2 groups of 3.’ 2x3=6 factors product Multiplying by One Students should understand then when you multiply by 1, the answer is always the other factor. 5x1=5 1x8=8 Multiplying by 0 Students should understand that when you multiply by 0, the answer is always 0! 5 groups of 0 is still 0! 7x0=0 0x9=0 Doubles for Multiplying by 2 When students are multiplying by 2, they can just double the other factor! Problem My Strategy Answer double 3 2x3 6 7x2 7+7 14 Doubles for Multiplying by 4 Using doubles can also help when multiplying by 4. Just think “Double Double!” Whenever one factor doubles, your product also doubles. Problem My Strategy Answer double 6 = 12 24 4x6 double 12 = 24 3x4 3x2=6 3 x 4 = 12 12 *the product for 3 x 2 is 6, so when I double one factor (2 doubled is 4) the product doubles (6 doubled is 12) Doubles Plus One More Group when Multiplying by 3 Sometimes when multiplying, we can think of our doubles plus another group. Problem My Strategy Answer 2 x 6 = 12 + 6 = 18 3x6 18 7 x 2 = 14 plus one more group 7x3 of 7 = 21 21 Using x5 and x2 When Multiplying by 7 Students can break one factor apart and multiply both parts by the other factor. The answer will still be the same. Problem My Strategy Answer 7x6 7x6 5 x 6 = 30 42 (5 + 2) x 6 2 x 6 = 12 8x7 8 x 5 = 40 8 x 2 = 16 56 Strategies for Multiplying by 8 When multiplying numbers by 8, students can think “Double, double, double!” They double the other factor three times. They may also break the 8 into 5 + 3 and multiply each part by the other factor, adding both products together at the end. Problem Answer 8x7 My Strategy 8x7 5 x 7 = 35 (5 + 3) x 7 3 x 7 = 21 3x8 3 x 2 = 6 x 2 – 12 x 2 = 24 24 56 Strategies for Multiplying by 9 Students can think of multiplying by 10, and then subtracting one group when multiplying by 9. Also, the 2 digits in the product, always add up to 9. For example, 2 x 9 = 18, and 1 + 8 is 9. Problem My Strategy Answer 10 x 7 = 70 63 9x 7 70 – 7 = 63