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Functions
MYP 4 & 5 - Unit Plans - Functions-Introduction
Functions - An Introduction
Mapping Functions
Mapping functions
Types of Mapping Relations
Classification of mapping relationships
Classification of Functions
Classification of functions using vertical line test
Function Notation Using Constants and Variables
Function Notation using constants
Function Notation using Variables (Non GDC)
Finding the Value of x for a given function
Finding the value of x for a given value of the function
Functions Involving Simultaneous Equations - 2 variables
Functions involving Simultaneous Equations – 2 variables
Functions Involving Simultaneous Equations - 3 variables
Functions involving Simultaneous Equations – 3 variables
Reading Values from a Graph
Reading values from a graph
Using Technology for Functions
Using Technology for Functions
Finding Solutions of Equations
Finding solutions of equations
Graphs of Functions
MYP 4 & 5 - Unit Plans - Functions-Graphs of Functions
Quadratic Functions Using Technology
Graphs of Quadratic Function
Cubic Functions Using Technology (Enrichment)
Graphs of Cubic Function
Graphs of Quartic Function
Exponential Functions Using Technology
Graphs of Exponential Functions
Parts of a logarithmic Function
Parts of a logarithmic Function (Enrichment)
Solving Equations Using Technology
Solving Graphs Using Technology
Application - Word Problems
Application – Word Problems
Composite Functions
MYP 4 & 5 - Unit Plans - Functions-Composite Functions
Enrichment
Composite Functions - Using Constants and Variables
Composite Functions with constants (Non GDC)
Composite functions with Variables (Non GDC)
Composite Functions - Involving 3 Functions
Composite functions involving 3 functions – With Constants
Composite functions involving 3 functions – With Variables
Composite Functions - Choosing Appropriate Functions
Choosing appropriate functions
Test on Composite Functions (Non Calculator)
Inverse Functions
MYP 4 & 5 - Unit Plans - Functions-Inverse Functions
Enrichment
Concept of inverse functions
Finding the coordinates of the inverse function
Determining the possibility of having an inverse function
Determining the possibility of an inverse function
Identifying the inverse graph
Domain and range of an inverse function
Domain and Range of inverse
Reading values from a graph for an inverse function
Reading values from a graph
Finding the inverse of a Function algebraically
Finding the inverse algebraically
Finding the inverse algebraically for a root function
Finding the inverse algebraically (Root Functions)
Test on Inverse Functions (Non Calculator)
Quadratic Functions
MYP 4 & 5 - Unit Plans - Functions-Quadratic Functions
Concept of Quadratic Functions
Checking for quadratic functions (Non- GDC)
Finding the value of y when x is given
Finding the value of y, when x is given
Plotting a Quadratic Function
Finding the value of x when y is given
Finding the value(s) of x, Finding the value(s) of x, when y is given
Determining whether a point lies on a lie & finding missing points
Determining whether a point lies on the function
Finding Missing points/ Unknowns
Determining the x and y intercepts
Determine the y-intercept
Determine the x-intercept
Determining the real roots
Determining the real roots (zeros)
Predicting the shape of a quadratic function
Predicting the shape (Non GDC)
Axis of Symmetry using x-intercepts
Axis of Symmetry (using x – intercepts)
Determining x-intercept when axis of symmetry is given
Determining x-intercept when axis of symmetry is given
Determining Axis of Symmetry from equation
Axis of Symmetry – From Equation
Finding Variables from Axis of Symmetry
Finding Variables from Axis of Symmetry
Determining the Coordinates of the Vertex
Vertex
Changing from General Form to Vertex Form
Changing from general form to vertex form
Parts of a Quadratic Function
Parts of a Quadratic Function
Determination of Equation of a Quadratic Function
Determining the Equation of the Function – x –intercepts and another point
Determination of Equation of a Quadratic Function when Coordinates are given
Determining the Equation of the Function when Coordinates are given
Determination of Equation of a Quadratic Function when Vertex and point are given
Determining the Equation of the Function when Vertex and a Point are given
Determination of Equation of a Quadratic Function from Graph
Determining the Equation of the Function from the Graph
Finding Points of Intersection Using Technology
Finding Points of Intersection – Using Technology
Word Problems on Quadratic Functions
Word Problems - Quadratic Functions
Exponential Functions
MYP 4 & 5 - Unit Plans - Functions-Exponential Functions
Fractional Powers with Constants and Variables
Fractional Powers with Constants
Fractional Power with Variables
Exponential Functions - Concept and Finding the Value
Checking for Exponential Functions
Finding the value of the Exponential Functions
Finding x for a particular value of a function
Finding the value of x for a given value of the function
Graphs of Exponential Functions
Graphs of Exponential Functions (y = ax)
Graphs Involving Vertical Translation
Graphs of Exponential Functions Involving Vertical Translation
Exponential Functions Involving Scale Factors
Involving Scale Factors
Graphs Involving Horizontal Translation
Horizontal Translation
Exponential Functions Involving Reflections
Involving Reflections
Finding Unknowns in Exponential Functions
Finding unknowns in exponential functions
Parts of an Exponential Function
Parts of an Exponential Function
Solving Exponential Equations
Exponential Equations
Solving Exponential Functions Using Technology
Solving Exponential Equations using Technology
Problem Solving with Exponential Functions
Problem Solving with Exponential Functions
Trigonometry - Unit Circle
MYP 4 & 5 - Unit Plans - Functions-Trigonometry - Unit Circle
Enrichment
Concept of Unit Circle
Writing exact coordinates
Signs in quadrants
Signs in quadrants
Missing values involving sin x
Finding missing value – involving sin θ
Missing values involving Cos x
Finding missing value - involving cos θ
Finding missing angle – involving negative values of cos θ
Missing values involving Tan x
Finding missing value - involving tan θ
Values of Standard Angles
Finding value of standard angles
Remembering Values of Standard Angles
Operations on Values of Standard Angles
Operations on values of standard angles
Relation between sin and cos
Relation between sin θ and cos θ
Value of Standard Angles Using Unit Circle
Finding value of standard angles using a unit circle
Values of Standard angles involving squares
Finding values of standard angles (involving squares)
Missing value of x
Finding missing value of x (from 90° to 360°)
Exact value of non-standard angles
Finding the exact value (Non-standard angles)
Values of other angles
Find the value of other angles using the unit circle (sin)
Find the value of other angles using the unit circle (cos)
Find the value of other angles using the unit circle (tan)
Transformation of Trigonometric Functions
MYP 4 & 5 - Unit Plans - Functions-Transformations of Trigonometric Functions
Enrichment
Identify the value of the amplitude from graph/equation
Identify the period from the equation
Identify the period from the graph
Determine the value of the principal axis from the equation
Determine the value of the principal axis from the graph
Identify the unknowns a, b, d from the graph (With form given)
Identify the type of graph and the unknowns a, b, d
Using Technology to find the value of x (screenshot needed)
Using Technology to find the value of x