Five pages on fact families, with factors from 2 to 10. Page 1 has six fact triangles with the product at the top and the factors at the bottom: students write the two multiplication facts and the two division facts. Page 2 shows an array of dots for each family, such as 3 rows of 5, to write two × facts and two ÷ facts; the last array is square, 7 rows of 7, and its family has only two facts. Page 3 turns division into a missing factor: 42 ÷ 6 = 7 because 7 × 6 = 42, then two times rows (1 × 6 to 10 × 6, and the 9s) to find a number in and read the quotient from. Page 4 has 24 equations with the missing number in every place, such as 7 × □ = 56, □ ÷ 4 = 9 and 28 = □ × 4. On page 5 students cross out the fact that does not belong in a family and write the one that is missing, then write the rest of a family from one fact. Each page starts with a worked example.
Make fact triangle cards: cover one corner with a thumb and ask a partner for the hidden number, then for the fact that finds it. Build a 3 by 5 array with counters and turn it a quarter turn: the facts stay in the same family. Before page 4, read 28 = □ × 4 aloud as "28 is how many fours?" so students see the equal sign works both ways.
Pick a fact, such as 6 × 8 = 48, and ask for the other three facts in its family at dinner or in the car. Then ask a division question with the same numbers, like how many 8s make 48, and let your child find it by thinking of the multiplication.
This pack supports the following Common Core State Standards for Mathematics:
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How multiplication and division facts belong together in families, with every fact within 10 × 10. Students write the facts for fact triangles and arrays, divide by thinking of a multiplication fact, find missing numbers anywhere in an equation and fix families with a fact that does not belong.
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