Year 8 Curriculum

Below are the skills needed, with links to resources to help with that skill. We also enourage 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.

Year 8 | Numbers
☐ Understand Binary Numbers
Base Conversion
Binary, Decimal and Hexadecimal Numbers
Binary/Decimal/Hexadecimal Converter
Binary Digits
Binary Number System
Power Set
Power Set Maker
☐ 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
☐ Convert from base ten to another base number, and vice versa.
Base Conversion Method
Base Conversion
☐ Round a number to a required number of decimal places or a required number of significant digits.
Rounding Numbers
Approximate Solutions
☐ Understand that there are other numeral systems such as Roman numerals, and how to convert from one system to the other.
Roman Numerals
☐ 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.
Surds
Year 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 Fractions
☐ Apply percents to: * Tax * Percent increase/decrease * Simple interest * Sale price * Commission * Interest rates * Gratuities
Percentage Difference, Percentage Error, Percentage Change
Introduction to Interest
Percentage Difference
Percentage Points
Percentage Calculator
Definition of Commission
Test Your Percentages
☐ Know how to calculate percentage error.
Percentage Difference, Percentage Error, Percentage Change
Activity: Find an Approximate Value For Pi
☐ Understand what is meant by percentage points and basis points.
Percentage Points
Year 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
Year 8 | Measurement
☐ Solve equations/proportions to convert to equivalent measurements within metric and customary measurement systems Note: Also allow Fahrenheit to Celsius and vice versa.
Conversion of Area
Interactive Thermometer
How to Convert Imperial to Metric
Conversion of Length
How to Safely Convert From One Unit to Another
How to Convert Metric to Imperial
Metric - US/Imperial Conversion Charts
Introduction to US Standard Units
Conversion of Temperature - Celsius to Fahrenheit
Unit Conversion Tool
Conversion of Volume
Measuring Metrically with Maggie
☐ Know the the metric units of speed (velocity): meters per second (ms-1) and kilometers per hour (kmh-1), or the standard units of speed (velocity): Feet per second(fps) and Miles per hour(mph).
Metric System of Measurement
Metric Speed (Velocity)
Unit Conversion Tool
US Standard Speed (Velocity)
☐ Recognize the difference between the expressions 'weight' and 'mass', and know the correct units for weight (Newton or pound-force).
Weight or Mass?
☐ Solve equations/proportions to convert to equivalent measurements from metric to customary measurement systems and vice versa.
How to Convert Imperial to Metric
How to Convert Metric to Imperial
Unit Conversion Tool
Year 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
☐ 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
☐ 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
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
Complementary Angles
Supplementary Angles
Interior Angle
Adjacent Angles
Exterior 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
Definition of Intersection
☐ 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
☐ 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
Geometry Translation
Function Transformations
Transformations
☐ Draw the image of a figure under rotations of 90° and 180° degrees
Geometry Rotation
Rotational Symmetry
Transformations
Symmetry - Reflection and Rotation
Pentomino Challenge
Pentomino Puzzle
Point Symmetry
Activity: Make a Mandala
☐ Draw the image of a figure under a reflection over a given line
Geometry - Reflection
Transformations
Symmetry - Reflection and Rotation
Reflection Symmetry
Year 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
☐ 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
Year 8 | Exponents
☐ Develop and apply the laws of exponents for multiplication and division
Laws of Exponents
Exponents
Exponents of Negative Numbers
nth Roots
Variables with Exponents - How to Multiply and Divide them
☐ Evaluate expressions with integer exponents
Laws of Exponents
Exponents
Index Notation - Powers of 10
Negative Exponents
Exponents of Negative Numbers
Using Exponents in Algebra
Year 8 | Inequalities
☐ Translate verbal sentences into algebraic inequalities.
Introduction to Inequalities
Definition of Inequality
The Language of Mathematics
Properties of Inequalities
☐ Solve multi-step inequalities and graph the solution set on a number line
Solving 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)
Properties of Inequalities
Solving Inequalities
☐ Graph the solution set of an inequality on a number line
Solving Inequalities
Properties of Inequalities
Number Line
Intervals
Year 8 | Linear Equations
☐ 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
☐ Determine the equation of a line given the slope and the y-intercept
Slope (Gradient) of a Straight Line
Gradient (Slope) of a Straight Line
Y Intercept of a Straight Line
Explore the properties of a straight line graph
Equation of a Straight Line
Linear Equation Test
Calculate the Straight Line Graph
Linear Equations
☐ 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
Year 8 | Quadratic Equations
☐ Recognize the characteristics of quadratics in tables, graphs, equations, and situations
Quadratic Equations
Function Grapher and Calculator
Explore the Quadratic Equation Graph
Parabola
Year 8 | Polynomials
☐ Factor a trinomial in the form ax2 + bx + c; a=1 and c having no more than three sets of factors
Factoring in Algebra
Factoring Quadratics
☐ Use physical models to perform operations with polynomials
Definition of Polynomial
Mathematical Models
☐ Multiply and divide monomials
Definition of Monomial
Multiplying Polynomials
Algebra - Expanding
Fractions in Algebra
☐ 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.
Degree (of an Expression)
Dividing Polynomials
Polynomials - Long Division
Year 8 | Functions
☐ Define and use correct terminology when referring to function (domain and range)
Domain, Range and Codomain
What is a Function
☐ Determine if a relation is a function
Domain, Range and Codomain
What is a Function
Year 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
Year 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
Equation of a Straight Line
Calculate the Straight Line Graph
☐ 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 ax2 + 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
☐ Understand Polar Coordinates, and how to convert from Cartesian coordinates to polar coordinates and vice versa.
Cartesian Coordinates
Polar and Cartesian Coordinates
Definition of Polar Coordinates

 

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