Unit 1-Operations with Rational Numbers

Unit 1: Operations with Rational Numbers

Unit 1: This unit builds upon the student's understanding of rational numbers that was developed in 6th grade. In Grade 7, learning now moves to explore and ultimately formalizing rules for operations (addition, subtraction, multiplication, and division) with integers. Using both contextual and numerical problems, students should explore what happens when negative numbers and positive numbers are combined. Repeated opportunities over time will allow students to compare the results of adding, subtracting, multiplying, and dividing pairs of numbers, leading to the generalization of the rules. Fractional rational numbers and whole numbers should be used in computations and explorations. Students will be able to give contextual examples of integer operations, write and solve equations for real-world problems and explain how the properties of operations apply. Real-world situations could include profit/loss, money, weight, sea level, debit/credit, football yardage, etc.


NUMERICAL REASONING - integers, percents, fractions, decimal numbers.

7.NR.1 Solve relevant, mathematical problems, including multi-step problems, involving the four operations with rational numbers and quantities in any form (integers, percentages, fractions, and decimal numbers).




Video on Negative Numbers called Integers

Adding and Subtracting Integers

Multiplying and Dividing Integers

Review Integers

Video on Absolute Values

GAMES: Reviewing Integers


PRACTICE: Adding and Subtracting Integers

Multiplying and Dividing Integers


Modeling with Algebra Tiles

Integer Number Line

Integers - An integer is a whole number that can be positive, negative, or zero.

Example of integers are: -5, 1, 5, 8, 97, and 3,043. 

Examples of numbers that are not integers are: -1.43, 1 3/4, and 3.14.