Students use the sign rules to find 16 products and quotients, predict signs before computing, and write equations for three real-life situations.
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Page 1 sets out the sign rules for multiplying and dividing integers, including how to count negatives when there are more than two factors, with worked examples such as (−6)(4)(−2) = 48. Students find eight products and eight quotients, including zero cases and (−1)(−2)(−3)(−4). On page 2 they predict signs before computing, write equations for a temperature drop, a descending elevator and account debits, and find two integers with a product of −24 and a sum of 5. The key shows how many negatives sit behind each sign.
Sign Detective c, −120 ÷ (−8) ÷ (−3), catches students who see two divisions by negatives and call it positive. Count the negatives including the −120: three, so the answer is −5, as the key shows.
Items 4 and 12, (−13)(0) and 0 ÷ (−9), are both 0. Students often write −13 or −9, or mix item 12 up with dividing by zero; point to the zero rule on the sign card.
In situation 18 the elevator goes down, so the answer is −14 each second, not 14. Ask students what the minus sign means in each real-life answer before they write it.
Ways to adjust the 23 numbered items and the challenge.
Each one is checked against the official documents. Where the resource covers only part of a standard, the note says so.
Students use the sign rules to multiply two or more integers, predict the sign by counting negative factors, and write products for a falling temperature and bank debits. The file states the rules rather than showing why they follow from the distributive property, and it uses integers only, not fractions or decimals.
Students divide integers using the same sign rules, divide zero by a negative number, and find the elevator's change in height each second. Writing negative fractions three ways, such as −(p/q) = (−p)/q, is not covered.
Students write and solve equations for three real-life situations and find missing integers in multiplication and division equations. Only integers and only multiplication and division are used; adding and subtracting, fractions and decimals are not.
Students multiply and divide positive and negative integers, predict signs, find missing integers and solve three real-life problems; adding and subtracting integers is not covered.
Only in the challenge, which asks for a sum. Every other item is multiplication or division.
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