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How to read graphs of linear relationships

BC Grade 8 Math: Master Core Concepts & Skills

Square roots and cubic roots

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Square and square roots

Square Root of a Perfect Square

Estimating square roots

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Cubic and cubic roots

Cubic and cube roots

Cube root of a perfect cube

Pythagorean Theorem

Pythagorean theorem

Using the pythagorean relationship

Applications of pythagorean theorem

Percents

Taxes, discounts, tips and more

Discounts — Word Problem

Taxes — Word Problem

Percentage - Applying a Discount Price– Word Problem

Percentage - Applying a Discount Percent – Word Problem

Percentage - Applying a Tax Total – Word Problem

Percentage - Applying a tax Percent – Word Problem

Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

Representing percents

Representing Percents

Representing Percents — Word Problem

Representing Percents Two Graphs – Word Problem

Percents, fractions, and decimals

Conversion — Decimal to Fraction

Conversion — Decimal to Percent

Conversion — Fraction to Decimal

Conversion — Fraction to Percent

Conversion — Percent to Decimal

Conversion — Percent to Fraction

Percents – Word Problem

Convert a Decimal to a Fraction

Convert a Decimal to a Percent

Convert a Fraction to a Decimal

Convert a Fraction to a Percent

Convert a Percent  to a Decimal

Convert a Percent to a Fraction

Percents Fractions And Decimals – Word Problem

Percent of a number

Percent of a Number

percent of a number – Word Problem

Percent of a Number  Fraction Percent

Percent of a Number Integer Percent 

Percent of a number number With Decimal Percent 

Percent of a Number  Three Digits Number Percent

Adding and multiplying percents

Add and Multiply Percents — Word Problem

Add and Multiply Percents – Word Problem

Fractions

Multiplying fractions and whole numbers

Multiply a fraction with a whole number

Multiplying Fractions — with whole numbers — 1 digit

Multiplying Fractions — with whole numbers — 2 digits

Application of Multiplying Fractions and Whole Numbers – Word Problems

Dividing fractions with whole numbers

Divide a fraction by a whole number

Divide a Fraction by a Whole Number

Divide a Fraction by a Whole Number Number RHS

Multiplying proper fractions

Multiply Proper Fractions — 1 Digit Fractions

Multiplying improper fractions and mixed fractions

Multiply Mixed Numbers

Dividing fractions and mixed numbers

Divide Fractions and Mixed Numbers – Word Problem

Dividing Mixed numbers

Dividing Mixed Numbers

Application of fraction operations

Fraction Operations

Cartesian Planes & Linear Relations

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Application of linear relationships

Cartesian plane

Cartesian Plane — Coordinates

Draw on coordinate planes

Linear Equations

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

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving two-step linear equations using addition and subtraction: ax+b=c

Two-step Linear Equations

Two-step Linear Equations LHS

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving two-step linear equations using multiplication and division x/a+b=c

Two-step Linear Equations RHS

Solving two-step linear equations using distributive property: a(x+b)=c

Solve Linear Equations Using Distributive Property – Word Problem

Surface Area

Introduction to surface area of 3-dimensional shapes

nets of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Surface area of cylinders

Volume

Introduction to volume

Calculate the Volume

Volume of prisms

Find the volume

Volume of Prisms Calculate Area and Volume

Rectangular Prisms Table

Volume of Prisms — Word Problem

Volume of cylinders

Word problems relating volume of prisms and cylinders

Central Tendency

Median and Mode

Median and Mode Table

Median and Mode – Word Problem

Median of an even length list

Median of an odd length list

Mean

Mean Word Problems

Find the Mean

Application of Means

Probability

Determining probabilities using tree diagrams and tables

Probability of independent events

Probability of Venn diagrams

BC Grade 8 Math

sample

math

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Ex. 1:

Ex. 2:

<p>- Hi, welcome to this question right here. So we've got a little graph right here trying to show you some kind of relationship. So what we have here is the cost of the chocolate bars, okay? So we've got the y-axis and the x-axis here. So remember the x-axis is your independent variables. Here we have the number of the chocolate bars, okay? So we've got one all the way up to 10. Over here, on the y-axis, you've got the cost of the chocolate bars. So if you see, here it is, there's a one, two, three, four, five, six, seven dots. These dots are telling you the number of chocolates and their price according to the number of chocolates you're buying. So let's say, for example, if you have one chocolate bar right here, let me fill the table right here for you. You've got one chocolate bar it's gonna cost you $2, okay? Now, if you're buying two it's gonna cost you $4, okay? And if you buy three it's gonna cost you $6, okay? So. . .<br />
and so on until you get the 6 chocolate bars, it's gonna cost you $12. So what's the relationship or the pattern that's represented by this graph right here?<br />
Well, the pattern is that for every chocolate bar that you bought, it's a $2 increase, okay, and you probably got that already just by looking at the first one. Every chocolate bar is $2, okay? So every time you increase your chocolate bar by one, of course, over here you'll increase by two, okay? So that's the pattern. Basically, every chocolate bar is gonna cost you $2, okay? Thanks for watching.</p>


Without understanding and analyzing, graphs of linear relationships are just lines and dots. In this lesson, we will learn the skills to analyze the graphs and get useful information from them.

Understanding graphs of proportional relationships 

Ratios

Proportions