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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
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
Domains
Defining domains
Identifying different types of domains
Intersection of two domains
Union of two domains
Absolute Value
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
Exponents : mixed review
Mixed power rule
Identify equivalent expressions involving integer and fraction exponent
Arithmetic Sequence
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
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
Describing harmonic sequence
Describing fibonacci sequence
Polynomial Functions
Defining Polynomial Functions
Identifying domain of polynomial functions
Identifying range of polynomial functions
Evaluating Polynomial Functions
Solving Problems involving Polynomial Functions
Hyperbolic Functions
Defining Hyperbolic Functions
Identifying Domain of Hyperbolic Functions
Identifying Range of Hyperbolic Functions
Evaluating Hyperbolic Functions
Operations on Polynomials
Addition of Monomials
Subtraction of Monomials
Multiplying two binomials
Identifying quotient using remainder theorem
Identifying quotient using factor theorem
Determining roots of polynomials using remainder theorem
Determining roots of polynomials using factor theorem
Functions
Defining functions: mixed review
Find the domain of the function from the set of ordered pairs
Find the Range of the function from the graph
Find the Range of the function from the set of ordered pairs
Domain and range of function from the set of ordered pairs
Find values using function equations
Evaluation of functions
Identify types of functions from equations
Refrence functions
Increasing functions
Decrease functions
Constante functions
Even functions
Odd function
Quadratic function
Identify quadratic function from the equation
Identify quadratic function from set of ordered pairs
Domain of quadratic function
Range of quadratic function
Evaluating quadratic Functions
Quadratic function over unit intervals
Relations and functions
Identify rational function from the equation
Identify quadratic function from set of ordered pairss
Domain of rational functions
Range of rational function
Evaluating rational Functions
Rational function Properties
Cubic function
Identify cubic function from the equation
Identify cubic function from set of ordered pairs
Evaluating cubic Functions
Cubic function Properties
Radical function
Identify radical function from the equation
Identify radical function from set of ordered pairs
Evaluating radical Functions
Radical function over unit intervals
Absolute Value Function
Identify absolute value function from the equation
Evaluating absolute value Functions
Identify increase, Increase and constant intervals of absolute value function
Sine Functions
Identify sine function from the equation
Identify sine function from set of ordered pairs
Domain of sine function
Range of sine function
Evaluating sine Functions
Sine function over unit intervals
Identify increase, Increase and constant intervals of sine function
Cosine Functions
Identify cosine functions from the equation
Identify cosine function from set of ordered pairs
Equations
Solving Problems involving linear Equations
Solving Problems involving Quadratic Equations
Inequalities
quadrilaterals shapes
Coordinate geometry
Trigonometry
Circles
Angles
Parallel and transversal lines
Triangles
Area of Polygons
Two-dimensional word problems
Right Prisms and cylinders
Right Pyramids, right cones and spheres
Conic Sections
Theoretical probability
Propositions
Identifying types of conditional propositions