In this topic, students will:
identify opposites of integers
compare and order integers
use integers to represent real-world quantities and explain the meaning of 0 in each context
plot rational numbers on a number line
compare and order rational numbers
use rational numbers to represent real-world quantities
use absolute value to represent a number's distance from 0
interpret absolute value in real-world situations
identify and graph points with rational coordinates on the coordinate plane
reflect points with rational coordinates across both axes
use mathematical modeling to represent a problem situation and to propose a situation
test and verify the appropriateness of their math models
explain why the results from their mathematical models may not align exactly with the problem situation
use absolute value to find the distance between two points that lie on the same horizontal or vertical line on a coordinate place
solve real-world and mathematical problems involving distances on the coordinate plane
find side lengths of polygons on a coordinate plane
find the perimeter of polygons on the coordinate plane
Vocabulary:
Integers - all of the counting numbers
Rational number - Any number that can be written as a ratio (or fraction) of two integers
Opposites - integers located on opposite sides of 0 and the same distance from 0 on a number line
Absolute value - the distance from 0 is the absolute value of a n0umber
Coordinate plane - a grid containing two number lines that intersect in a right angle at 0
Ordered pair - a point on a coordinate plane is represented by a(n) ordered pair
Origin - the point (0,0) on a coordinate plane
Quadrant - one-fourth of the coordinate plane
X- and y-axes - the number lines on a coordinate plane that divide the plane into four quadrants