Grade 8 Curriculum

Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. Curriculum Home

Important: this is a guide only.
Check with your local education authority to find out their requirements.

Grade 8 | Numbers
☐ Understand Binary Numbers
Base Conversion
Binary/Decimal/Hexadecimal Converter
Binary Digits
Binary Number System
Hexadecimal Drum Machine
Binary Fingers!
☐ Understand Hexadecimal Numbers
Hexadecimal Color Names
Binary, Decimal and Hexadecimal Numbers
Binary/Decimal/Hexadecimal Converter
Hexadecimal Drum Machine
Hexadecimal / Decimal Colors
Hexadecimal Multiplication Table
Hexadecimals
Base Conversion
Interactive Color Wheel
☐ Convert from base ten to another base number (other than binary and hexadecimal), and vice versa.
Base Conversion Method
Base Conversion
Bases
☐ Round a number to a required number of decimal places or a required number of significant digits.
Rounding Numbers
Approximate Solutions
Rounding Tool
☐ Understand that there are other numeral systems such as Roman numerals, and how to convert from one system to the other.
Numbers, Numerals and Digits
Roman Numerals
Definition of Roman Numerals
Definition of Numeral
☐ Understand what is meant by a surd, and that if you can't simplify a number to remove a square root(or cube root etc) then it is a surd.
Simplifying Square Roots
Surds
☐ Simplify a square root by making the number inside the square root as small as possible (but still a whole number) i.e. the product or quotient of an irreducible surd with a rational number.
Surds
Simplifying Square Roots
Root Jigsaw Puzzle
Root Jigsaw Puzzle - Solution
☐ Calculate a square root using the 'guess method'.
Squares and Square Roots
☐ Be familiar with various rounding methods and when to use them
Rounding Methods
Rounding Tool
☐ Count past 1,000 using binary fingers
Binary Fingers!
Binary Digits
Binary Number System
Binary, Decimal and Hexadecimal Numbers
Base Conversion
Binary/Decimal/Hexadecimal Converter
Grade 8 | Percentages
☐ Read, write, and identify percents less than 1% and greater than 100%
Introduction to Percentages
Percentage Calculator
Decimals, Fractions and Percentages
Convert Percents to Decimals
Convert Decimals to Percents
☐ Apply percents to: * Tax * Simple interest * Sale price * Commission * Interest rates * Gratuities
Percentage Difference, Percentage Error, Percentage Change
Introduction to Interest
Percentage Calculator
Definition of Commission
Test Your Percentages
Definition of Interest Rate
Definition of Interest
☐ Understand what is meant by percentage error, and how to calculate it.
Percentage Difference, Percentage Error, Percentage Change
Activity: Find an Approximate Value For Pi
Percentage Error
☐ Understand what is meant by percentage points and basis points.
Percentage Points
☐ Understand what is meant by percentage change (percentage increase or percentage decrease), and how to calculate it.
Percentage Difference, Percentage Error, Percentage Change
Percentage Change
☐ Understand what is meant by percentage difference, and how to calculate it.
Percentage Difference, Percentage Error, Percentage Change
Percentage Difference
Grade 8 | Ratios
☐ Know how to share a quantity in a given ratio e.g. Share the profits of a company in the ratio of the investments of the partners
Ratios
The Herd of Camels
Grade 8 | Measurement
☐ Solve equations/proportions to convert to equivalent measurements within the metric measurement system
Conversion of Area
Conversion of Length
Unit Converter
Conversion of Volume
Measuring Metrically with Maggie
☐ Know the metric units of speed (velocity): meters per second (m/s) and kilometers per hour (km/h)
Metric System of Measurement
Metric Speed (Velocity)
Unit Converter
Measuring Metrically with Maggie
☐ Recognize the difference between the expressions 'weight' and 'mass', and know the correct metric unit for weight (Newton)
Weight or Mass?
Metric System of Measurement
☐ Solve equations/proportions to convert to equivalent measurements from metric to customary measurement systems and vice versa.
Metric - US/Imperial Conversion Charts
How to Convert Imperial to Metric
How to Convert Metric to Imperial
Unit Converter
Conversion of Length
Conversion of Area
Conversion of Volume
How to Safely Convert From One Unit to Another
☐ Solve equations/proportions to convert to equivalent measurements within the US standard measurement system
Conversion of Length
Conversion of Area
Introduction to US Standard Units
Unit Converter
Conversion of Volume
☐ Know the standard US units of speed (velocity): Feet per second(fps) and Miles per hour(mph).
US Standard Speed (Velocity)
Unit Converter
Introduction to US Standard Units
☐ Recognize the difference between the expressions 'weight' and 'mass', and know the correct US standard unit for weight (pound-force)
Weight or Mass?
☐ Know the metric units of acceleration and how to calculate acceleration given initial velocity, final velocity and the time interval.
Metric System of Measurement
Acceleration
☐ Convert from degrees Fahrenheit to Celsius and vice versa.
Conversion of Temperature - Celsius to Fahrenheit
Unit Converter
Interactive Thermometer
Definition of Temperature
Definition of Degree (Temperature)
Definition of Fahrenheit
Definition of Celsius
Grade 8 | Geometry (Plane)
☐ Apply algebra to determine the measure of angles formed by or contained in parallel lines cut by a transversal and by intersecting lines
Transversals
Definition of Parallel Lines
Parallel Lines, and Pairs of Angles
Solving Equations
Factoring in Algebra
☐ Construct the following using a straight edge and compass: * Segment congruent to a segment * Angle congruent to an angle * Perpendicular bisector * Angle bisector
Definition of Contruction (Geometry)
Definition of Compass (Drawing)
Same (congruent) Angle Construction
Line Bisector Construction
Angle Bisector Construction
30 Degree Angle Construction
45 Degree Angle Construction
60 Degree Angle Construction
Inscribe a Circle in a Triangle Construction
Point to Tangents on a Circle Construction
Bisect
☐ Identify pairs of vertical angles as congruent
Congruent Angles
Vertical Angles
Vertically Opposite Angles
Definition of Vertical Angles
Parallel Lines, and Pairs of Angles
Congruent
☐ Draw the image of a figure under a translation
Transformations
Geometry Translation
Definition of Translation
Definition of Translate
Congruent
☐ Draw the image of a figure under a dilation (resizing)
Similar
Geometry Resizing
Transformations
Definition of Enlarge
☐ Identify the properties preserved and not preserved under a reflection, rotation, translation, and dilation
Congruent
Geometry - Reflection
Geometry Resizing
Geometry Rotation
Rotational Symmetry
Transformations
Geometry Translation
Definition of Reflection
Reflection Symmetry
Clock in the Mirror
Definition of Rotation
Definition of Rotational Symmetry
Symmetry - Reflection and Rotation
Rotation Game
Similar
Pentomino Challenge
Pentomino Puzzle
Activity: Make a Mandala
☐ Identify pairs of supplementary and complementary angles
Definition of Supplementary Angles
Complementary Angles
Supplementary Angles
Interior Angle
Exterior Angle
Definition of Complementary Angle
☐ Calculate the missing angle in a supplementary or complementary pair
Complementary Angles
Supplementary Angles
Interior Angle
Definition of Complementary Angle
Definition of Supplementary Angles
Angles on a Straight Line Add to 180
Exterior Angle
☐ Determine angle pair relationships when given two parallel lines cut by a transversal
Transversals
Alternate Exterior Angles
Alternate Interior Angles
Consecutive Interior Angles
Corresponding Angles
Parallel Lines, and Pairs of Angles
Definition of Parallel
Definition of Parallel Lines
Definition of Transversal
Vertical Angles
Vertically Opposite Angles
☐ Calculate the missing angle measurements when given two parallel lines cut by a transversal
Transversals
Alternate Exterior Angles
Alternate Interior Angles
Consecutive Interior Angles
Corresponding Angles
Parallel Lines, and Pairs of Angles
Vertical Angles
Vertically Opposite Angles
☐ Calculate the missing angle measurements when given two intersecting lines and an angle
Vertical Angles
Vertically Opposite Angles
Parallel Lines, and Pairs of Angles
☐ Describe and identify transformations in the plane, using proper function notation (rotations, reflections, translations, and dilations)
Geometry - Reflection
Geometry Resizing
Geometry Rotation
Transformations
Geometry Translation
☐ Draw the image of a figure under rotations of 90 degrees and 180 degrees, and identify rotations by multiples of 30 degrees
Geometry Rotation
Rotational Symmetry
Transformations
Symmetry - Reflection and Rotation
Pentomino Challenge
Pentomino Puzzle
Point Symmetry
Activity: Make a Mandala
Definition of Rotation
Congruent
Symmetry Artist
☐ Draw the image of a figure under a reflection over a given line
Geometry - Reflection
Transformations
Symmetry - Reflection and Rotation
Reflection Symmetry
Similar
Definition of Reflection
Symmetry Artist
Definition of Line Symmetry
Definition of Reflection Symmetry
Pentomino Challenge
Pentomino Puzzle
☐ Understand that two two-dimensional figures are congruent if one can be obtained from the other by a sequence of rotations, reflections, and translations.
Congruent
☐ Understand that two two-dimensional figures are similar if one can be obtained from the other by a sequence of rotations, reflections, translations and dilations.
Similar
Grade 8 | Algebra
☐ Factor algebraic expressions using the GCF
Greatest Common Factor
Definition of Factor
Definition of Greatest Common Factor
Definition of Factoring
Factoring in Algebra
☐ Write verbal expressions that match given mathematical expressions
The Language of Mathematics
Order of Operations - BODMAS
Order of Operations - PEMDAS
☐ Understand cross-multiply
Cross Multiply
☐ Know the Implication and Iff symbols, and when each of them is used.
Implication and Iff
☐ Be familiar with the language of mathematics, including: symbols, letter conventions, variables and mathematical sentences.
The Language of Mathematics
Symbols in Algebra
Symbols in Geometry
Open Sentences
Welcome to Mathematics
Algebra - Definitions
Mathematical Symbols
☐ Use units and scales consistently in solving problems, substituting into formulas and drawing graphs.
Unit of Measurement
Grade 8 | Exponents
☐ Develop and apply the laws of exponents for multiplication and division
Laws of Exponents
Exponents
Index Notation - Powers of 10
Using Exponents in Algebra
Negative Exponents
☐ Evaluate expressions with integer exponents
Laws of Exponents
Exponents
Index Notation - Powers of 10
Negative Exponents
Using Exponents in Algebra
Grade 8 | Inequalities
☐ Translate verbal sentences into algebraic inequalities.
Introduction to Inequalities
Definition of Inequality
Equal, Less and Greater Than Symbols
☐ Solve multi-step inequalities and graph the solution set on a number line
Solving Inequalities
Number Line
Introduction to Inequalities
☐ Solve linear inequalities by combining like terms, using the distributive property, or moving variables to one side of the inequality (include multiplication or division of inequalities by a negative number)
Solving Inequalities
☐ Graph the solution set of an inequality on a number line
Solving Inequalities
Number Line
Grade 8 | Coordinates
☐ Determine the equation of a line given the slope and the y-intercept, and vice versa
Explore the properties of a straight line graph
Equation of a Straight Line
Slope (Gradient) of a Straight Line
Gradient (Slope) of a Straight Line
Linear Equation Test
Y Intercept of a Straight Line
Calculate the Straight Line Graph
Definition of Y Intercept
Definition of Gradient
Definition of Slope
☐ Calculate the area of a polygon given the coordinates of its vertices
Area of Polygon by Drawing
Area of Irregular Polygons
☐ Know how to find the slope and y-intercept of a straight line from its graph
Calculate the Straight Line Graph
Y Intercept of a Straight Line
Linear Equation Test
Gradient (Slope) of a Straight Line
Slope (Gradient) of a Straight Line
Equation of a Straight Line
Explore the properties of a straight line graph
Grade 8 | Quadratic Equations
☐ Recognize the characteristics of quadratics in tables, graphs, equations, and situations
Quadratic Equations
Function Grapher and Calculator
Explore the Quadratic Equation
Parabola
Grade 8 | Polynomials
☐ Factor a trinomial in the form ax^2 + bx + c; a=1 and c having no more than three sets of factors
Factoring in Algebra
Factoring Quadratics
Polynomials
Quadratic Factoring Practice
☐ Use physical models to perform operations with polynomials
Definition of Polynomial
Polynomials
Real World Examples of Quadratic Equations
Quadratic Equations
☐ Multiply and divide monomials
Definition of Monomial
Multiplying Polynomials
Algebra - Expanding
Dividing Polynomials
☐ Add and subtract polynomials (integer coefficients)
Adding and Subtracting Polynomials
☐ Multiply a binomial by a monomial or a binomial (integer coefficients)
Multiplying Polynomials
Algebra - Expanding
☐ Divide a polynomial by a monomial (integer coefficients) Note: The degree of the denominator is less than or equal to the degree of the numerator for all variables.
Dividing Polynomials
Grade 8 | Logic
☐ Use logical reasoning to solve problems involving various skills
The Language of Mathematics
Welcome to Mathematics
Definition of Problem
Learning Mathematics
Logic Puzzles
☐ Use If...then thinking to make decisions based on Logic.
Page
Grade 8 | Functions
☐ Define and use correct terminology when referring to function (domain and range)
Domain, Range and Codomain
What is a Function
☐ Determine whether a relation is a function
Domain, Range and Codomain
What is a Function
Grade 8 | Estimation
☐ Estimate a percent of a quantity, given an application
Estimation Games
Introduction to Percentages
☐ Justify the reasonableness of answers using estimation
Estimation Tips and Tricks
Estimation (Introduction)
Visual Estimation
Estimation Games
Grade 8 | Graphs
☐ Find a set of ordered pairs to satisfy a given linear numerical pattern (expressed algebraically); then plot the ordered pairs and draw the line
Definition of Ordered Pair
Definition of Plot
General Form of Equation of a Line
Cartesian Coordinates
☐ Solve systems of equations graphically (only linear, integer solutions, y=mx+b format, no vertical/horizontal lines)
Function Grapher and Calculator
Systems of Linear Equations
☐ Distinguish between linear and nonlinear equations ax^2 + bx + c; a=1 (only graphically)
Function Grapher and Calculator
Graph of an Equation
☐ Create a graph given a description or an expression for a situation involving a linear or nonlinear relationship
Equation Grapher
☐ Determine the slope of a line from a graph and explain the meaning of slope as a constant rate of change
Explore the properties of a straight line graph
Equation of a Straight Line
Slope (Gradient) of a Straight Line
Gradient (Slope) of a Straight Line
Linear Equation Test
Definition of Slope
Definition of Gradient
Calculate the Straight Line Graph
Linear Equations
☐ Determine the y-intercept of a line from a graph and be able to explain the y-intercept
Y Intercept of a Straight Line
Definition of Y Intercept
Linear Equation Test
Linear Equations
Explore the properties of a straight line graph
Equation of a Straight Line
Calculate the Straight Line Graph
☐ Graph a line using a table of values
Cartesian Coordinates
Definition of Plot
Definition of Ordered Pair
☐ Graph a line from an equation in slope-intercept form (y=mx+b)
Slope (Gradient) of a Straight Line
Gradient (Slope) of a Straight Line
Y Intercept of a Straight Line
Function Grapher and Calculator
Explore the properties of a straight line graph
Equation of a Straight Line
Linear Equation Test
Calculate the Straight Line Graph
Linear Equations