Year 8

BSM offers hundreds of year 8 maths skills to explore and learn.

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    Ratio and proportions 8
  • Illustrating ratio
  • Illustrating proportions
  • Finding missing value in proportions
  • Identifying types of proportions
  • Solving problems involving direct proportion
  • Solving Problems involving Inverse Proportion
  • Solving Problems involving Partitive Proportion
  • Rate of change
  • Constant rate of change
    Number sequences 8
  • Identify arithmetic and geometric sequences
  • The missing number in the number sequences
  • Number sequences: word problems
  • Evaluate variable expressions for arithmetic sequences
  • Evaluate variable expressions for geometric sequences
    Expressions and properties 8
  • Write numerical expressions involving integers
  • Simplify algebraic expressions using algebraic identities
  • Factoring algebraic expressions using algebraic identities
  • Add and subtract like terms
  • Linear and non linear expressions
  • Factors of linear expressions
  • Identify equivalent linear expressions
  • Evaluate Numerical Expressions Involving Integers
  • Evaluat Numerical Expressions Involving Fraction
  • Evaluat Numerical Expressions Involving Exponent
  • Evaluat Numerical Expressions Involving Root
  • Write Variable Exponential Expressions :Word Problem
  • Evaluate Exponential Expressions
  • Simplify Numerical Expressions Involving Integers
  • Write Variable Expressions Involving Fraction :Word Problem
  • Evaluate Expressions Involving Fraction
  • Write Variable Rational Expressions :Word Problem
  • Evaluate Rational Expressions
  • Write Multi-Variable Expressions:Word Problem
  • Evaluate Multi-Variable Expressions
  • Standard Algebraic Identities (A + B)2
  • Standard Algebraic Identities A2 - B2
  • Standard Algebraic Identities ( X + A)(X + B)
  • Standard Algebraic Identities ( A + B)3
  • Standard Algebraic Identities (A - B)2
  • Standard Algebraic Identities ( X – A)(X – B)
  • Standard Algebraic Identities ( X + A)(X – B)
  • Properties Of Addition And Multiplication
  • Add And Subtract Like Terms
  • Linear And Non Linear Expressions
  • Factors Of Linear Expressions
  • Identify Equivalent Linear Expressions
    Polynomials 8
  • Identify the monomials, binomials, trinomials and quadrinomials
  • Addition of monomials
  • Subtraction of monomials
  • Multiplying two binomials
  • Multiplying a monomial and a binomial
  • Multiplying a binomial and a trinomial
  • Square of a binomial
  • Cube of a binomial
  • Common factors
  • Difference of two squares
  • Factoring by grouping
  • Perfect square trinomial
  • Dividing polynomials using long division
  • Dividing polynomials using synthetic division
  • Identifying quotient using remainder theorem
  • Identifying quotient using factor theorem
  • Factors polynomials using any method
  • Converting polynomials to lower-order binomials
  • Identify The Monomials, Binomials, Trinomials And Quadrinomials
  • Addition Of Monomials
  • Subtraction Of Monomials
  • Multiplying Two Binomials
  • Multiplying A Monomial And A Binomial
  • Multiplying A Binomial And A Trinomial
  • Square Of A Binomial
  • Cube Of A Binomial
  • Common Factors
  • Difference Of Two Squares
  • Factoring By Grouping
  • Perfect Square Trinomial
  • Dividing Polynomials Using Long Division
  • Dividing Polynomials Using Synthetic Division
  • Identifying Quotient Using Remainder Theorem
  • Identifying Quotient Using Factor Theorem
  • Factors Polynomials Using Any Method
  • Converting Polynomials To Lower-Order Binomials
  • Solve Equations Involving Like Terms
  • Solve Equations With The Appropriate Property
  • Graphing Solutions Of Linear Equations
    One-variable equations 8
  • Identify one-variable equation
  • Write one-variable equation from words
  • Evaluate one-variable equation
  • Numbers of Solutions to the Equations
  • Equations with Parentheses
  • Solve equations using properties
  • Solve one-step equations
  • Solve two-step equations
  • Solve one- and two-step equations
  • Solve equations involving like terms
  • Solve equations with the appropriate property
  • Graphing Solutions of linear equations
  • Identify One-Variable Equation
  • Write One-Variable Equation From Words
  • Evaluate One-Variable Equation
  • Numbers Of Solutions To The Equations
  • Equations With Parentheses
  • Solve Equations Using Properties
  • Solve One-Step Equations
  • Solve Two-Step Equations
  • Solve One- And Two-Step Equations
    One-variable inequalities 8
  • Identify linear inequalities
  • Write one-variable inequalities from words
  • Solutions of linear inequalities
  • Graphing solutions of linear inequalities
  • Identify Linear Inequalities
  • Write One-Variable Inequalities From Words
  • Evaluate One-Variable Inequalities
  • Solutions Of Linear Inequalities
  • Graphing Solutions Of Linear Inequalities
    Two-variable equations 8
  • Identify two-variable equations
  • Write two-variable equations from words
  • Equations with Variables on Both Sides
  • Evaluate two-variable equations
  • Solve two-variable equations using properties
  • Evaluate two-variable equations
  • Solutions of equations with the appropriate property
  • Graphing Solutions of two-variable equation
  • Identify Two-Variable Equations
  • Write Two-Variable Equations From Words
  • Equations With Variables On Both Sides
  • Evaluate Two-Variable Equations
  • Solve Two-Variable Equations Using Properties
  • Graphing Solutions Of Two-Variable Equation
    Linear equations 8
  • Writing linear equations in standard form
  • Writing linear equation in slope-intercept form
  • Writing linear equations given slope and y-intercept
  • Writing linear equations given two points
  • Identifying slope of linear equations
  • Identifying y-intercept of linear equations
  • Solving for values of x
  • Solving for values of y
  • Completing table of values of linear equations
  • Graphing linear equations
  • Types of systems of linear equations
  • Solving systems of linear equations by elimination method
  • Solving systems of linear equations by substitution method
  • Solving problems involving linear equations
  • Identifying Linear Equations
  • Writing Linear Equations In Standard Form
  • Writing Linear Equation In Slope-Intercept Form
  • Writing Linear Equations Given Slope And Y-Intercept
  • Writing Linear Equations Given Two Points
  • Identifying Slope Of Linear Equations
  • Identifying Y-Intercept Of Linear Equations
  • Solving For Values Of X
  • Solving For Values Of Y
  • Completing Table Of Values Of Linear Equations
  • Graphing Linear Equations
  • Types Of Systems Of Linear Equations
  • Solving Systems Of Linear Equations By Elimination Method
  • Solving Systems Of Linear Equations By Substitution Method
  • Solving Problems Involving Linear Equations
    Quadratic equations 8
  • Identifying Quadratic Equations
  • Writing Quadratic Equations in standard form
  • Writing Quadratic Equation in vertex form
  • Solving for values of x
  • Solving for values of y
  • Completing table of values of quadratic equations
  • Graphing Quadratic Equations
  • Identifying Quadratic Equations
  • Writing Quadratic Equations In Standard Form
  • Writing Quadratic Equation In Vertex Form
  • Solving For Values Of X
  • Writing Quadratic Equations In Standard Form
  • Solving For Values Of Y
  • Completing Table Of Values Of Quadratic Equations
  • Graphing Quadratic Equations
  • Solving Problems Involving Quadratic Equations
    Math logic 8
  • Illustrating propositions
  • Identifying simple propositions
  • Identifying compound propositions
  • Translating mathematical sentences into propositions
  • Identifying logical operators
  • Identifying truth values of propositions
  • Identifying types of conditional propositions
  • Determining converse of a conditional statement
  • Determining inverse of a conditional statement
  • Determining contrapositive of a conditional statement
  • Illustrating Propositions
  • Identifying Simple Propositions
  • Translating Mathematical Sentences Into Propositions
    Charts and Graphs 8
  • Organizing data using contingency tables
  • Organizing data using frequency tables
  • Organizing data using line graphs
  • Organizing data using area graphs
  • Organizing data using Pie Charts
  • Organizing data using pictographs
  • Organizing data using scatter plots
  • Interpreting data using contingency tables
  • Interpreting data using frequency tables
  • Interpreting data using line graphs
  • Interpreting data using bar graphs
  • Interpreting data using area graphs
  • Interpreting data using pictographs
  • Interpreting Data Using Pie Charts
  • Interpreting Data Using Scatter Plots
    Introduction to functions 8
  • Identifying Relations
  • Identifying Functions
  • Identifying if given relations are functions
  • Defining dependent and independent variables
  • Identifying domain of a function
  • Identifying range of a function
  • Types of functions
  • Identifying linear functions
  • Graphing linear functions
  • Completing table of linear functions
  • Identifying increasing functions
  • Identifying decreasing functions
    Coordinate plane System 8
  • Characteristics of the Cartesian Plane
  • Plotting Points on the Cartesian Plane
  • Identifying points on the Cartesian plane
  • Distance formula
  • Midpoint formula
  • Identifying transformations
  • Translating points
  • Rotating points
  • Reflecting Points
    Set theory 8
  • Defining sets
  • Cardinality of sets
  • Types of sets
  • Illustrates union of events
  • Illustrates intersection of events
  • Illustrates mutually exclusive events
  • Properties of complementary sets
  • Computing probability of mutually exclusive events
  • Illustrates Complementary Events
  • Computing Probability Of Mutually Inclusive Events
    Geometry 8
  • Definition of terms (point, line, plane)
  • Describing a point
  • Describing a line
  • Describing a plane
  • Identifying line segments
  • Identifying rays
  • Defining postulates
  • Defining theorems
  • Identifying angles
  • Types of pairs of angles
  • Find values of angles
  • Pythagorean theorem
  • Find values in a right triangle using pythagorean theorem
    Quadrilaterals 8
  • Properties of square
  • Perimeter and area of square : word problem
  • Problem solving Involving squares
  • Properties of rectangles
  • Perimeter and area of rectangles: word problem
  • Problem solving Involving rectangle
  • Properties of trapezoid
  • Perimeter and area of trapezoid: word problem
  • Problem solving involving trapezoid
  • Properties of parallelogram
  • Perimeter and area of parallelogram : word problem
  • Problem solving involving parallelogram
  • Properties of rhombus
  • Perimeter and area of rhombus: word problem
  • Problem solving involving rhombus
  • Properties of kite
  • Perimeter and area of kite: word problem
  • Problem solving involving kite
  • Perimeter And Area Of Kite: Word Problem
    Circles 8
  • Identifying properties of circles
  • Illustrating tangents of a circle
  • Find length of segments or sectors of a circle
  • Circumference and area of circle: word problem
  • Illustrating Tangents Of A Circle
  • Find Length Of Segments Or Sectors Of A Circle
  • Circumference And Area Of Circle : Word Problem
  • Perimeter And Area Of Triangle : Word Problem
  • Illustrating Hinge Theorem
  • Illustrating Exterior Angle Inequality Theorem
  • Illustrating Triangle Inequality Theorem
    Triangles 8
  • Properties of Triangle
  • Perimeter and area of Triangle : word problem
  • Problem Solving Involving Triangles
  • Proving triangle congruence by RHS (right, hypotenuse, side)
  • Proving triangle congruence by SSS (side,side, side)
  • Proving triangle congruence by SAS (side,angle, side)
  • Proving triangle congruence by AAS (angle, angle, side)
  • Proving triangle similarity by AAA (angle, angle, angle)
  • Proving triangle similarity by SSS (side, side, side)
  • Solves corresponding parts of congruent triangles
    Triangle Inequality 8
  • Identifying Theorems of Triangle Inequality
  • Proves Triangle Inequality
    Introduction to trigonometry 8
  • Unit Circle
  • Identifying sine
  • Identifying cosine
  • Identifying tangent
  • Special triangles
  • Identifying sine of 45-45-90 triangle
  • Identifying tangent 45-45-90 triangle
  • Identifying sine of 30-60-90 triangle
  • Identifying cosine 30-60-90 triangle
  • Identifying tangent 30-60-90 triangle
  • Trigonometric Ratios
  • Identifying Sine
  • Identifying Cosine
  • Identifying Tangent
  • Special Triangles
  • Identifying Sine Of 45-45-90 Triangle
  • Identifying Cosine 45-45-90 Triangle
  • Identifying Tangent 45-45-90 Triangle
  • Identifying Sine Of 30-60-90 Triangle
  • Identifying Cosine 30-60-90 Triangle
  • Identifying Tangent 30-60-90 Triangle
    Parallel lines cut by a transversal 8
  • Defining parallel and transversal lines
  • Identifying Angles Lying on the Same Side of the Transversal
  • Identifying pairs of alternate interior angles
  • Identifying pairs of alternate exterior angles
  • Identifying pairs of corresponding angles
  • Identifying pairs of co-interior angles
  • Find angle measurement
  • Defining Parallel And Transversal Lines
  • Identifying Angles Lying On The Same Side Of The Transversal
  • Identifying Pairs Of Alternate Interior Angles
  • Identifying Pairs Of Corresponding Angles
  • Identifying Pairs Of Co-Interior Angles
  • Find Angle Measurement
  • Identifying Pairs Of Alternate Exterior Angles
    Three-dimensional Shapes 8
  • Surface area of cube: word problem
  • Volume of cube: word problem
  • Problem Solving Involving Cube
  • Surface Area of Rectangular Prism: word problem
  • Volume of Rectangular Prism: word problem
  • Problem Solving Involving Rectangular Prism
  • Surface Area of Square Pyramid: word problem
  • Volume of Square Pyramid: word problem
  • Problem solving involving square pyramid
  • Surface area of sphere: word problem
  • Volume of sphere: word problem
  • Problem solving involving sphere
    Integer Numbers 8
  • Understanding Opposite Integers
  • Positive or negative integer : mixed riview
  • Understanding opposite integers
  • Identify The Opposite Integer
  • Distance To Zero For Integer Numbers (Show It By The Number Line)
  • Distance Between Tow Integers
  • Properties Of Integer Numbers
  • Distance To Zero For Integer Numbers (Show It By The Number Line)
    Operations With Integer Numbers 8
  • Mutiply Integers By (-1)
  • Add, Subtract, Mutiply And Divide Integer Numbers
  • Apply Addition And Subtraction Rules
  • Apply Multiplication And Division Rules
  • Add And Subtract Opposite Integers
  • Mutiply And Divide Opposite Integers
  • Add And Subtract Opposite Integers
  • Complete The Equations With Integer Numbers
  • Simplify The Addition And Subtraction Expressions
  • Simplify The Multiplication And Division Expressions
  • Add And Subtract Three Or More Integers
  • Mutiply Three Or More Integers
  • Sign Of Multiplication Expressions
  • Sign Of Division Expressions
  • Complete Subtraction Sentences With Integers
  • Complete Mutiplication Sentences With Integers
  • Complete Division Sentences With Integers
  • Add, Subtract, Mutiply And Divide Integer Numbers
  • Complete Addition Sentences With Integers
  • Simplify Numerical Expressions Involving Integers
  • Evaluate Numerical Expressions Involving Integers
    Rational Numbers 8
  • Understand Rational Numbers
  • Decimals, Fractions And Mixed Numbers: Mixed Review
  • Identify Rational Numbers
  • Read Rational Numbers On Number Lines (On Horizontal And Vertical Number Lines)
  • Rational Numbers That Shown By Number Line (On Horizontal And Vertical Number Lines)
  • Compare Rational Numbers
  • Put Rational Numbers In Order
  • Rational Numbers That Shown By Number Line (On Horizontal And Vertical Number Lines)
    Operations With Rational Numbers 08
  • Add And Subtract Positive And Negative Decimals
  • Add And Subtract Positive And Negative Fractions
  • Add And Subtract Rational Numbers
  • Multiply And Divide Positive And Negative Decimals
  • Multiply And Divide Positive And Negative Fractions
  • Multiply And Divide Positive And Negative Decimals
  • Multiply And Divide Positive And Negative Fractions
  • Multiply And Divide Rational Numbers
  • Add, Subtract, Multiply And Divide Rational Numbers
  • Simplify Numerical Expressions Involving Rational Numbers
  • Evaluate Numerical Expressions Involving Rational Numbers
  • Add, Subtract, Multiply And Divide Rational Numbers
  • Calssify Numbers
    Number Theory 08
  • Identify Number Sets ( N, Z And Q)
  • Determining The Number System
  • Prime Or Composite : Mixed Review
  • Highest Common Factor And Lowest Common Multiple : Mixed Review
  • Inverse Of A Whole Number
  • Multiply Number By The Inverse Of The Second Number
  • Inverse Of A Fraction
  • Prime Factorization
  • Multiply Number By The Inverse Of The Second Number
    Exponent And Roots 08
  • Exponent With Negative Bases
  • Add And Subtract Exponent With Negative Bases
  • Multiply Exponent With Negative Bases
  • Divide Exponent With Negative Bases
  • Simplifying Exponents With Negative Bases
  • Exponent With Decimal Bases
  • Add And Subtract Exponent With Decimal Bases
  • Multiply Exponent With Decimal Bases
  • Divide Exponent With Decimal Bases
  • Exponent With Fractional Bases
  • Add And Subtract Exponent With Fractional Bases
  • Multiply Exponent With Fractional Bases
  • Divide Exponent With Fractional Bases
  • Simplifying Exponents With Decimal Bases
  • Simplifying Exponents With Fractional Bases
  • Mixed Power Rule
  • Simplifying Exponential Expressions
  • Evaluate Expressions Involving Negative, Decimal And Fractional Bases
  • Evaluate Square Of Integer Numbers
  • Evaluate Cube Of Integer Numbers
  • Sing Of Square And Cube Of Integer Numbers
  • Cube Roots Of Perfect Cubes
  • Cube Roots Of Perfect Or Non Perfect Cubes
  • Estimate Cube Roots
    Percentage 08
  • Converting Decimals And Fractions To Percentages
  • Compare Fractions And Decimals Percents
  • Illustrating Base
  • Illustrating Percentage
  • Illustrating Rate
  • Finding Base
  • Finding Percentage
  • Finding Rate
  • Problem Solving Involving Percentages
  • Estimate Percents Of Numbers
  • Percents Of Numbers And Money Amounts
  • Compare Percents Of Numbers
  • Percent Of Change
  • Percent Of Change: Word Problems