## (6.NS.5-6.NS.8) Number System Fluency

Posted: November 16, 2015 in Advance, Periods 1&2, Periods 3&4

## Understand the relationship between positive and negative numbers (6.NS.C.5)

• I can explain how positive and negative numbers relate to real world examples and the meaning of zero in each case.

#### Lessons:

Relate positive and negative quantities

In this lesson you will learn how positive and negative quantities are related by looking at some different real-world examples.

• Created By: Suzanne Geltman
• Standards:6. NS.C.5

Relate positive and negative quantities; apply to elevation

In this lesson you will learn how positive and negative numbers are used in elevation by looking at distances above and below sea level.

• Created By: Suzanne Geltman
• Standards:6. NS.C.5

Relate positive and negative quantities; apply to temperature

In this lesson you will learn how positive and negative numbers are used in temperature by looking at temperatures above and below freezing.

• Created By: Suzanne Geltman
• Standards: 6.NS.C.5

Relate positive and negative quantities; apply to bank balance

In this lesson you will learn how positive and negative numbers are used with money by looking at bank accounts with greater or less than \$0.

• Created By: Suzanne Geltman
• Standards: 6.NS.C.5

## Understand rational numbers and ordered pairs; place pairs of rational numbers on the coordinate plane (6.NS.C.6)

• I can explain how each rational number has an opposite value.
• I can explain how each rational number has an opposite value.
• I can explain how the signs of any ordered pair change in each quadrant of the coordinate graph
• I can explain how changing the sign of the numbers in an ordered pair causes it to reflex on one or both axes
• I can locate a rational number on the number line.
• I can plot an ordered pair of rational numbers on the coordinate plane.

## Lessons

• In this lesson you will learn about the coordinate plane by combining horizontal and vertical number lines.

• In this lesson you will learn how to graph points by using a coordinate plane.

• In this lesson you will learn how to graph rational numbers by using a coordinate plane.

• In this lesson you will learn how to reflect points over the x and y axes by using a coordinate plane.

• In this lesson you will learn how to translate shapes across the x and y axes by using a coordinate plane.

#### Find the value of a number using its distance and direction from zero

In this lesson you will learn how to find the value of a number by comparing its distance and direction from 0.

• Created By: James Morrison
• Standards: 6.NS.C.6b, 6.NS.C.6c

Find opposite numbers on the number line

In this lesson you will learn how to find opposite numbers by comparing their distances and directions from 0.

• Created By: James Morrison
• Standards: 6.NS.C.6a, 6.NS.C.6b, 6.NS.C.6c

Locate a point on the coordinate plane

In this lesson you will learn how to locate a point on a coordinate plane by plotting an ordered pair.

• Created By: James Morrison
• Standards: 6.NS.C.6b, 6.NS.C.6c

Determine the quadrant of a point

In this lesson you will learn how to determine the quadrant of a point by examining the values of an ordered pair.

• Created By: James Morrison
• Standards: 6.NS.C.6b, 6.NS.C.6c

Predict the reflection of a point by changing values

In this lesson you will learn how to predict the reflection of a point by changing one or more of its values in an ordered pair.

• Created By: James Morrison
• Standards:6. NS.C.6b, 6.NS.C.6c

#### Understand the opposite of a number by looking at a number line

In this lesson you will learn about the opposite of a number by looking at a number line.

• In this lesson you will learn about the opposites of fractions by looking at a number line.

• In this lesson you will learn to rewrite a fraction as a decimal by using division.

• In this lesson you will learn to rewrite a fraction as a decimal by using division.

• #### Rewrite decimals as fractions by using equivalent fractions

In this lesson you will learn to rewrite a decimal as a fraction by using equivalent fractions.

• In this lesson you will learn about locating positive rational numbers by using a number line.

• In this lesson you will learn about locating rational numbers by using a number line.

## Interpret statements of inequality and write, interpret, and explain statements of order for rational numbers (6.NS.C.7)

• I can compare two rational numbers on a number line and in an inequality.
• I can explain the meaning of ordering rational numbers in a real world situation.
• I can explain how absolute value of a number relates to its distance from zero.
• I can explain how the absolute value of a number is used in real world situations to show magnitude.
• I can compare how the absolute value of a number relates to value of the number on the number line.

#### Lessons:

Understand the relationship between two numbers using a number line

In this lesson you will learn about the relationship between two numbers by finding their location on a number line.

• Created By: Timothy Hays
• Standards: 6.NS.C.7a

Understand the relationship between two negative numbers using a number lines

In this lesson you will learn about the relationship between two negative numbers by finding their location on a number line.

• Created By: Timothy Hays
• Standards: 6.NS.C.7a

Compare two positive or negative numbers in real-world situations

In this lesson you will learn about comparing two positive or negative numbers in real-world situations by using a number line.

• Created By: Timothy Hays
• Standards:6. NS.C.7b

Compare more than two positive or negative numbers in real-world situations

In this lesson you will learn about comparing more than two positive or negative numbers in real-world situations by using a number line.

## Lessons

• #### Find absolute value using a number line

In this lesson you will learn how to find the absolute value of a number by using a number line.

• #### Use a number line to understand the relationship between rational numbers and absolute value

In this lesson you will learn about the relationship between rational numbers and absolute value by using a number line.

• #### Describe negative values with words

In this lesson you will learn to describe negative values with words by using a number line.

• #### Interpret absolute value in real-world situations

In this lesson you will learn to interpret absolute value in real-world situations by using a number line.

• #### Use a number line to understand how while the value of a negative number decreases, its absol…

In this lesson you will learn that as the value of a negative number decreases, its absolute value increases by using a number line.

• Created By: Timothy Hays
• Standards: 6.NS.C.7b

## Graph points in all four quadrants on the coordinate plane to solve real-world and mathematical problems (6.NS.C.8)

• I can use the coordinate plane to solve real-world problems.
• I can find the vertical or horizontal distance between two points on the coordinate plane.

#### Lessons:

In this lesson you will learn to graph points in any quadrant by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.C.8

Write coordinate pairs for points

In this lesson you will learn to write coordinate pairs for points by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.C.8

Use absolute value to find distances between points

In this lesson you will learn to use absolute value to find distances between points with the same x and y value by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.A.1c, 6.NS.C.8

Find the distance between two points in different quadrants

In this lesson you will learn to find the distance between two points that are in different quadrants by using a coordinate plane.

• Created By: Timothy Hays
• Standards:6. NS.A.1c, 6.NS.C.8

Find the length and width of a rectangle given four points on the coordinate plane

In this lesson you will learn to graph and solve mathematical problems by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.A.1c, 6.NS.C.8

Graph and solve mathematical problems using a coordinate plane

In this lesson you will learn to graph and solve mathematical problems by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.C.8

Graph and solve real-world problems using a coordinate plane

In this lesson you will learn to graph and solve real-world problems by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.C.8