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Year 10
BSM offers hundreds of year 10 maths skills to explore and learn.
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Numbers and Operations 10
Identifying Subset Of The Number System
Classify Real Numbers : Mixed Review
Compare the subset of the number system
Rounding Real Numbers
Estimating Real Numbers
Complex Fractions
Simplify Complex Fractions
Multiply and divide rational expressions
Write A Recurring Decimal As A Fraction
Translating algebraic expressions into mathematical sentences
Translating mathematical sentences into algebraic expressions
Estimating Surds
Domains 10
Defining Domains
Domains Representation In Numbers Line
Identifying different types of domains
Elements Of Domains : Center, Length, Radius And Limites
Intersection Of Two Domains
Union Of Two Domains
Absolute Value 10
Defining The Absolute Value Of Real Number
Distance And Absolute Value
Distance Between Tow Points
Distance Between Tow Real Numbers
Properties Of Absolute Value
Exponents 10
Exponents : Mixed Review
Exponent With Negative, Decimal, Fractional Bases
Mixed Power Rule
Simplifying Exponential Expressions
Negative Exponent
Multiplication with integer exponent
Division With Integer Exponent
Multiplication And Division With Integer Exponent
Simplifying Exponential Expressions involving integer exponent
Fraction Exponent
Power Rule With Integer Exponent
Multiplication With Fraction Exponent
Division With Fraction Exponent
Multiplication and division with fraction exponent
Power Rule With Fraction Exponent
Simplifying Exponential Expressions Involving Fraction Exponent
Evaluate Expressions Using Properties Of Exponent
Identify Equivalent Expressions Involving Integer And Fraction Exponent
Arithmetic Sequence 10
Defining Sequences
Defining Arithmetic Sequences
Defining Arithmetic Mean
Computing For The Arithmetic Mean
Identifying The Nth Term Of A Arithmetic Sequence
Identifying Sum Of a Given Arithmetic Sequence
Geometric Sequence 10
Solving Problems Involving Arithmetic Sequences
Defining Geometric Sequences
Differentiating Arithmetic Sequence From Geometric Sequence
Defining Finite Geometric Sequence
Defining Infinite Geometric Sequence
Defining Geometric Mean
Computing For Geometric Mean
Identifying The Nth Term Of A Geometric Sequence
Determining The Sum Of A Given Geometric Sequence
solves problems involving geometric sequences
Other types of sequences 10
Describing harmonic sequence
Describing Fibonacci Sequence
Polynomial Functions 10
Defining Polynomial Functions
Identifying domain of polynomial functions
Identifying range of polynomial functions
Evaluating Polynomial Functions
Graphing Polynomial Functions
Solving Problems involving Polynomial Functions
Hyperbolic Functions 10
Defining Hyperbolic Functions
Identifying Domain of Hyperbolic Functions
Identifying Range of Hyperbolic Functions
Evaluating Hyperbolic Functions
Graphing Hyperbolic Functions
Solving Problems involving Hyperbolic Functions
Operations on Polynomials 10
Classifying polynomials
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
Perfect Square Trinomial
Determining roots of polynomials using Synthetic Division
Determining roots of polynomials using remainder theorem
Dividing Polynomials using Long Division
Dividing Polynomials using Synthetic Division
Identifying quotient using Remainder Theorem
Identifying quotient using Factor Theorem87 Identifying quotient using Factor Theorem
Factors polynomials using any method
Determining roots of polynomials using Factor Theorem
Factoring by Grouping
Functions 10
Defining functions: mixed review
Identifying Domain of a function
Find the domain of the function from the graph
Find the domain of the function from the set of ordered pairs
Identifying Range of a function
Find the Range of the function from the graph
Find the Range of the function from the set of ordered pairs
Find values using function equations
Evaluation of functions
Operations on functions addition
Operations on functions multiplication
Operations on functions division
Composition of Functions
Identify types of functions from graphs
Identify types of functions from equations
Find the Range of the function from the set of ordered pairs
Domain and range of function from the graph
Domain and range of function from the set of ordered pairs
Find values using function graphs
Operations on functions subtraction
Refrence functions 10
Identify linear, affine, quadratic, and cubic functions from graphs
Identify affine, quadratic, rational and radical functions from graphs
Identify sine, cosnie, and absolute value functions from graphs
Identify linear, affine, quadratic, and cubic functions from tables
Identify linear, quadratic, rational and radical functions from tables
Identify sine, cosnie, and absolute value functions from tables
Write linear, affine, quadratic, and cubic functions
Write linear, quadratic, rational and radical functions
Write sine, cosnie, and absolute value functions
Increasing functions
Decrease functions
Constante functions
Identify increase, Increase and constant intervals (Refrence function)
Finding the Maximum Values of a Function
Finding the Minimum Values of a Function
Symmetric Functions
Even functions
Odd function
Periodic function
Quadratic function 10
Identify quadratic function from the equation
Identify quadratic function from the graph
Identify quadratic function from the table
Identify quadratic function from set of ordered pairs
Domain of quadratic function
Complete a function table from the equation of quadratic function
Complete a function table from the graph of quadratic function
Write quadratic function to solve word problems
Solving Problems involving quadratic Functions
Compare quadratic function: graphs, tables and equations
Write equations in standard form from tables, grahs and mappings and lists of points
Evaluating quadratic Functions
Quadratic function over unit intervals
Identify increase, Increase and constant intervals
Properties of quadratic functions
Range of quadratic function
Rational Function 10
Identify rational function from the equation
Identify rational function from the graph
Identify rational function from the table
Identify quadratic function from set of ordered pairss
Domain of rational functions
Range of rational function
Complete a function table from the equation of rational function
Complete a function table from the graph of rational function
Write rational function to solve word problems
Solving Problems involving rational Functions
Compare rational function: graphs, tables and equations
Write equations of rational function in standard form from tables, grahs and mappings and lists of points
Evaluating rational Functions
Rational function over unit intervals
Identify increase, Increase and constant intervals of rational Function
Rational function Properties
Cubic Function 10
Identify cubic function from the equation
Identify cubic function from the graph
Identify cubic function from the table
Identify cubic function from set of ordered pairs
Domain of cubic function
Range of cubic function
Complete a function table from the equation of cubic function
Complete a function table from the graph of cubic function
Write cubic function to solve word problems
Solving Problems involving cubic Functions
Compare cubic function: graphs, tables and equations
Write equations of cubic function in standard form from tables, grahs and mappings and lists of points
Evaluating cubic Functions
Cubic function over unit intervals
Identify increase, Increase and constant intervals of cubic function
Cubic function Properties
Radical Function 10
Identify radical function from the equation
Identify radical function from the graph
Identify radical function from the table
Identify radical function from set of ordered pairs
Domain of radical function
Range of radical function
Complete a function table from the equation of radical function
Complete a function table from the graph of radical function
Write equations in standard form from tables, grahs and mappings and lists of points
Evaluating radical Functions
Radical function over unit intervals
Identify increase, Increase and constant intervals of radical function
Radical function Properties
Write radical function to solve word problems
Solving Problems involving radical Functions
Compare radical function: graphs, tables and equations
Solving Problems involving cosine Functions
Compare cosine function: graphs, tables and equations
Write equations in standard form from tables, grahs and mappings and lists of points
Absolute Value Function 10
Identify absolute value function from the equation
Identify absolute value function from the graph
Identify absolute value function from the table
Identify absolute value function from set of ordered pairs
Domain of absolute value function
Range of absolute value function
Complete a function table from the equation of absolute value function
Complete a function table from the graph of absolute value function
Write absolute value function to solve word problems
Solving Problems involving absolute value Functions
Compare absolute value function: graphs, tables and equations
Write equations in standard form from tables, grahs and mappings and lists of points
Evaluating absolute value Functions
Absolute value function over unit intervals
Identify increase, Increase and constant intervals of absolute value function
Absolute value function Properties
Sine Functions 10
Identify sine function from the equation
Identify sine function from the table
Identify sine function from the table
Identify sine function from set of ordered pairs
Domain of sine function
Range of sine function
Complete a function table from the equation of quadratic function
Complete a function table from the graph of sine function
Write sine function to solve word problems
Solving Problems involving sine Functions
Compare sine function: graphs, tables and equations
Write equations of sine function in standard form from tables, grahs and mappings and lists of points
Evaluating sine Functions
Sine function over unit intervals
Identify increase, Increase and constant intervals of sine function
Sine function Properties
Cosine Functions 10
Identify cosine functions from the equation
Identify cosine function from the graph
Identify cosine function from the table
Identify cosine function from set of ordered pairs
Domain of cosine function
Range of cosine function
Complete a function table from the equation of cosine function
Complete a function table from the graph of cosine function
Write cosine function to solve word problems
Evaluating Cosine Functions
Cosine function over unit intervals
Identify Decrease, Increase and constant intervals
Cosine function Properties
Equations 10
dentifying linear Equations
Solving Linear Equations
Types of systems of Linear Equations
Solving Systems of Linear Equations by Elimination Method
Solving Systems of Linear Equations by Substitution Method
Identifying Quadratic Equations
Solving Quadratic EquatIions
Solving Problems involving linear Equations 10
Linear equations : number Problems
Linear equations : age Problems
Linear equations : geometry Problems
Linear equations : distance Problems
Linear equations : mixture Problems
Solving Problems Involving Quadratic Equations 10
Quadratic equations : number Problems
Quadratic equations : geometry Problems
Quadratic equations : distance Problems
Inequalities 10
Representing Linear Inequalities
Solving Linear Inequalities algebraically
Writing solutions of linear inequalities in interval notation
Coordinate Geometry 10
Determining parallel lines
Determining perpendicular lines
Determining points on a line
Determining midpoint of a line using midpoint formula
Cartesian Plane : Mixed Review
Computing For Distance Between Two Points Using Distance Formula
Vectors Properties
Equal Vectors
Opposing Vectors
Null Vectors
The Sum Of Vectors
Parallelogram Rule
Relation Of Chasles
Translation
Multiply Vectors In Real Number
Subtract Vectors
Determining Slope Of A Line
Determining Equation Of A Line
Trigonometry 10
Identifying parts of right triangle: mixed review
Angle Units
Trigonometric Circle
Deriving the value of sine
Deriving the value of cosine
Deriving the value of tangent
Deriving the value of cosecant
Deriving the value of secant
Deriving the value of cotangent
Special Angles 45°-45°-90°
Special Angles 30°-60°-90°
Trigonometric ratios: sin, cos and tang
Trigonometric ratios: csc, sec and cot
Find trigonometric functions of special angles: sin, cos and tan
Find trigonometric functions of special angles: csc, sec and cot
Find trigonometric functions using a calculator
Trigonometric ratios: find a side length
Trigonometric ratios: find an angle measure
Solve a right triangle
Law of Sines
Law of Cosines
Solve a triangle
Area of a triangle : sine formula
Graph sine functions
Graph sine and cosine functions
Circles 10
Identifying parts of a circle
Illustrating secants of a circle
Illustrating tangents of a circle
Illustrating segments of a circle
Illustrating sectors of a circle
Identifying relations among chords, arcs, central angles, and inscribed angles
Angles 10
Identifying right angles
Identifying obtuse angles
Identifying acute angles
Identifying reflex angles
Identifying straight angles
Identifying pair of supplementary angles
Identifying pair of complementary angles
Identifying pair of vertical angles
Identifying pair of adjacent angles
Solving complementary of an angle
Solving supplementary of an angle
Parallel and transversal lines 10
Identifying pairs of interior angles
Identifying pairs of exterior angles
Identifying pairs of corresponding angles
Identifying pairs of co-interior angles
Identifying pairs of alternate interior angles
Determining unknown angle measurement
Defining Parallel And Transversal Lines
Triangles 10
Determining a triangle
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)
Solving missing lengths
Area of Polygons 10
Computing area of square
Computing area of rectangle
Computing area of triangle
Computing area of trapezium
Computing area of parallelogram
Computing area of circle
Solving Problems involving square area
Solving Problems involving rectangle area
Solving Problems involving triangle area
Solving Problems involving trapezium area
Solving Problems involving parallelogram area
Solving Problems involving circle area
Two-dimensional word problems 10
Illustrating Angle of Elevation
Illustrating angle of depression
Real world problems involving angle of elevation
Real world problems involving angle of depression
Right Prisms And Cylinders 10
Illustrating rectangular prism
Illustrating cube
Illustrating triangular prism
Illustrating cylinder
Computing surface area of rectangular prism
Computing surface area of cube
Computing surface area of triangular prism
Computing surface area of cylinder
Computing volume of rectangular prism
Computing volume of cube
Computing volume of triangular prism
Computing volume of cylinder
Solving problems involving rectangular prism
Solving problems involving cube
Solving problems involving triangular prism
Solving problems involving cylinder
Right Pyramids, right cones and spheres 10
Illustrating square pyramid
Illustrating triangular pyramid
Illustrating right cone
Illustrating sphere
Computing surface area of square pyramid
Computing surface area of triangular pyramid
Computing surface area of right cone
Computing surface area of sphere
Computing volume of right cone
Computing volume of sphere
Solving problems involving square pyramid
Solving problems involving triangular pyramid
Solving problems involving right cone
Solving problems involving sphere
Computing volume of square pyramid
Illustrates FPC
Computing Volume Of Triangular Pyramid
Conic Sections 10
Probability fundamental principle of counting 10
Computes FPC
Solves problems involving FPC
Illustrates permutation
Computes for permutations of n objects taken r at a time
Solves problems involving permutation
Illustrates combination
Differentiates permutation from combination
Computes for combinations of n objects taken r at a time
Solves Problems Involving Combination
Illustrating Probability
Determining Experiment
Determining Outcome
Determining Sample Space
Determining Event
Theoretical probability 10
Propositions 10
Identifying types of conditional propositions
Quadrilaterals 10
Determining a Quadrilateral
Identifying Properties of Parallelograms
Identifying Properties of Rhombus
Identifying Properties of Square
Identifying Properties of Trapezium
Identifying Properties of Kite
Identifying Properties of Rectangles
Random Variables 10
The Normal Curve 10
Sampling And Sampling Distribution 10
Estimation Of Parameters
Estimation Of Parameters 10
Descriptive Statistics 10
Statistics Measure Of Dispersion 10
Business Mathematics Simple Interest 10
Business Mathematics Compound Interest 10