Suitable for Grades: 7th Grade
CCSS: 7.NS.A.1, 7.NS.A.2
CCSS Description: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. d. Apply properties of operations as strategies to add and subtract rational numbers.
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.
Are your students ready for a negative number operations challenge? This puzzle worksheet is perfect to use with students who have studied all four operations with positive and negative numbers and need an extra stretch or simply extra practice in an engaging way.
Put a twist on addition with directed numbers in Sections A and B. Here, students will practice this skill in the form of number pyramids and magic squares.
In sections C and D, students will need to use multiplication, division, addition, and subtraction to solve the puzzles. Play ‘countdown’ in section C. This provides a great opportunity to discuss different approaches and methods. In section D, students have 12 number cards to use once to make 4 correct mathematical statements.