Download Unit 1 Study Guide

Unit 1: Integers and Rational Numbers (3 weeks)
Student Study Guide
Pre-Algebra
Learning Targets
7.NS.1a
1.) I can show that a rational number and its opposite always have a sum of zero.
Example 1:
-5 + 5 = 0
Example 2:
Is this equation true: 7 - 4 = 7 + (-4)
2.) I can describe real world situations where quantities have a sum of zero.
Example 1: Consider the following fantasy football scoring guide:
Touchdown: 2 points
Field Goal: 1 point
Fumble: -1 point
Interception: -2 points
How many points would be awarded?
Example 2: Charlie owes his friend ten dollars. After one week he pays him seven dollars. After the second week he pays him 3
dollars. How much money does Charlie owe him after the second week?
Study
Resources
7.NS.1b
1.) I can justify that a number added to a value represents the distance it is away from that value on a number line, where
direction depends on the sign of the value being added.
Example 1: The sum of 8 and 3 is 11 because 3 is three integers away from 8 in the positive direction on a number line. This falls on
the integer 11.
2.) I can interpret the sum of rational numbers in a real-world context.
Example: On a cold winter morning the outside temperature was – 1 degree. By the afternoon it had warmed up to 20 degrees. How
many degrees did the temperature rise from morning to afternoon? Show this using an addition problem with a sum of 20
7.NS.1c
1.) I can rewrite a subtraction problem as an addition problem by using the additive inverse.
Example 1: Find the additive inverse of 6-6=0
Example 2: Find the additive inverse of 5 - 7= -2
2.) I can show that the distance between two rational numbers on a number line is the absolute value of their difference.
Example 1: Moving from 6 to 12 on a number line takes six steps. Show by using subtraction that this is true.
3.) I can describe real-world situations represented by the subtraction of integers.
Example 1: Jill’s bank account is -$35. She has a paycheck from work of $70 added to her account. How much money does Jill
currently have in her bank account?
7.NS.1d
1.) I can use the properties of operations to add and subtract rational numbers
Example 1: 9 + (-3) = ?
Example 2: 6 + (-4) - 7 + 3 = ?
7.NS.3
1.) I can solve real-world problems that involve the addition, subtraction, multiplication, and/or division of rational numbers.
Example 1: The temperature at 2:30am was -10 degrees. At noon, the temperature had risen 16 degrees. At 5:00pm the temperature
had dropped 8 degrees. What was the temperature at 5:00pm?
Example 2: The stock market measures earnings per share of stock of companies. On Monday, Company ABC opened and closed at
$22.31 per share. On Tuesday, it rose $0.27 per share. On Wednesday it fell $1.12 per share. On Thursday it fell another $1.16 per
share. On Friday it gained $0.10 per share. What was the price of a share of stock for Company ABC at the close of the stock market
on Friday?
Example 3: Bob has saved $25.40. Rena saved ¾ of the amount that Bob saved. Nick saved twice as much as Rena. How much is
the total saved of all three?