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Introduction to Absolute Value: Distance from Zero Rule

NY-6.EE.1

Exponent rules

auto-gen

Introduction to exponents

NY-6.EE.2

Evaluating algebraic expressions

NY-6.EE.3

Order of operations (PEMDAS)

NY-6.EE.4

Patterns

NY-6.EE.5

Express linear inequalities graphically and algebraically

Solving one - step equations:  x + a = b

NY-6.EE.6

Representing patterns in linear relations

NY-6.EE.7

Model and solve one-step linear equations: ax = b, x/a = b

NY-6.EE.8

Solving one-step linear inequalities

NY-6.EE.9

Reading linear relation graphs

Solving linear equations by graphing

Graphing linear relations

NY-6.G.1

Area and perimeter of rectangles

Classifying triangles

NY-6.G.2

Volume of rectangular prisms word problems

Volume of prisms

NY-6.G.4

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

NY-6.G.5

Squares and square roots

Introduction to volume

NY-6.NS.1

Dividing fractions and mixed numbers

Applications of fraction operations

NY-6.NS.2

Dividing multi-digit numbers

Dividing decimals

NY-6.NS.3

Adding and subtracting decimals

Multiplying decimals

NY-6.NS.4

Greatest common factors (GCF)

Least common multiple (LCM)

Introduction to transformations

NY-6.NS.5

Negative numbers and opposite numbers

Introduction to integer addition

Application of integer operations

NY-6.NS.6

Introduction to absolute value

Cartesian plane

NY-6.NS.7

Comparing and ordering numbers

NY-6.NS.8

Draw on coordinate planes

Horizontal and vertical distances

NY-6.RP.1

What is ratio?

Ratios

NY-6.RP.2

Converting among ratios, fractions and decimals

Rates

NY-6.RP.3

Proportions

Conversions between metric and imperial systems

Applications of percents

Rates with fractions

NY-6.SP.2

Median and mode

NY-6.SP.3

Mean

Range and outliers

NY-6.SP.4

Frequency tables and dot plots

Reading and drawing bar graphs

Reading and drawing histograms

Box-and-whisker plots and scatter plots

NY-6.SP.5

Advantages and disadvantages of different graphs

Critiquing data presentation

Application of averages

NY-6.SP.6

Introduction to probability

NY-6.SP.7

Comparing experimental and theoretical probability

NY-6.SP.8

Organizing outcomes

Probability of independent events

Assignments

Challenge Zone

Foundation Review

6th Grade Math

math

Intro.

Ex 1.

Ex 2.

Ex 3.

This lesson introduces absolute value as the distance a number sits from zero on the number line. You'll learn the bar notation, why the result is always zero or positive, and how to evaluate the absolute value of integers, decimals, and simple expressions through step-by-step examples.

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Topic Progress

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Overview

Introduction to Absolute Value

What You'll Learn

Define absolute value as the distance a number is from zero on the number line.

Recognize absolute value bar notation such as \(|x|\) and read it correctly.

Calculate the absolute value of positive numbers, negative numbers, and zero.

Explain why an absolute value can never be negative.

Evaluate absolute value expressions that involve simple arithmetic inside the bars.

Connect absolute value to later topics like equations, inequalities, and functions.

This Unit Includes

13 Video lessons

Learning resources