Suitable for Grades: 7th Grade
CCSS: 7.NS.A.2
CCSS Description: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts. b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Multiplying and Dividing Integers not only asks students to practice this essential skill, but challenges them to pattern spot, generate their own rules, and finally solve some puzzles.
Section A kicks things off with a multiplication grid of numbers from -3 to 3 inclusive. This grid is brilliant for starting discussions around patterns and leads students to spot the rules for multiplication with both positive and negative numbers.
Now students know how to multiply with rational numbers, they will complete 3 multiplication grids in section B.
Section C requires students to problem solve with division and hence discover the rules for division of rational numbers.
In section D, students have the opportunity to practice their new found skills with more multiplication grids.
Finally, challenge students to complete our puzzles in section E.