Functions

reception
Year 1
Year 2
Year 3
Year 4
Year 5
Year 6
Year 7
Year 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
  • Defining sets
  • Cardinality of sets
  • Types of sets
  • Illustrates union of events
  • Illustrates intersection of events
  • Illustrates mutually exclusive events
  • Illustrates complementary events
  • Properties of complementary sets
  • Computing probability of mutually exclusive events
  • Computing probability of mutually inclusive events
  • Definition of terms (point, line, plane)
  • Describing a point
Year 9
Year 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
  • Defining Hyperbolic Functions
  • Identifying Domain of Hyperbolic Functions
  • Identifying Range of Hyperbolic Functions
  • Evaluating Hyperbolic Functions
  • Graphing Hyperbolic Functions
  • Solving Problems involving Hyperbolic Functions
  • Identifying quotient using remainder theorem
  • Identifying quotient using factor theorem
  • Determining roots of polynomials using Synthetic Division
  • 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 table
  • 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 table
  • Find the Range of the function from the set of ordered pairs
  • Domain and range of function from the table
  • Domain and range of function from the graph
  • Domain and range of function from the set of ordered pairs
  • Find values using function graphs
  • Find values using function equations
  • Evaluation of functions
  • Operations on functions addition
  • Operations on functions subtraction
  • Operations on functions multiplication
  • Operations on functions division
  • Composition of Functions
  • Identify types of functions from graphs
  • Identify types of functions from equations
  • 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)
  • Symmetric Functions
  • Even functions
  • Odd function
  • Periodic function
  • Identify quadratic function from the equation
  • Identify quadratic function from the graph
  • Identify quadratic function from the table
  • Range 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
  • 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
  • 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
  • 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
  • Write radical function to solve word problems
  • Solving Problems involving radical Functions
  • Compare radical function: graphs, tables and equations
  • 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
  • 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
  • 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
  • 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
  • Solving Problems involving cosine Functions
  • Compare cosine function: graphs, tables and equations
  • Write equations cosine function in standard form from tables, grahs and mappings and lists of points
  • Evaluating cosine Functions
  • Cosine function over unit intervals
  • Identify increase, Increase and constant intervals of cosine function
  • Cosine function Properties
  • Graph sine functions
  • Graph cosine functions
  • Graph sine and cosine functions
  • Writing equation of a parabola in vertex form
  • Solving problems involving parabola
  • Determining characteristics of a hyperbola
  • Writing equation of a hyperbola in standard form
  • Writing equation of a hyperbola in vertex form
  • Solving problems involving hyperbola
  • Determining characteristics of an ellipse
  • Writing equation of an ellipse in standard form
  • Writing equation of an ellipse in vertex form
  • Solving problems involving ellipse
  • Determining characteristics of a circle
  • Writing equation of a circle in standard form
  • Writing equation of a circle in vertex form
  • Solving problems involving circle
Year 11