More Functions L.O. All pupils can recall the different types of functions All pupils can find the domain and range of basic functions Some pupils can.

Slides:



Advertisements
Similar presentations
9.4 – Solving Quadratic Equations By Completing The Square
Advertisements

Graphing Piecewise Functions
1.3 Families of Equations. What families of graphs have your studied? Linear Absolute Value Quadratic Square Root Cubic Cube Root.
Section Day 2 Solving Trig Equations Using Inverses.
Aims: To be able to find the inverse of a function. To know the graphical relationship between a function and its inverse. To understand the relationship.
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
Parent Functions. Learning Goal I will be able to recognize parent functions, graphs, and their characteristics.
Quadratic and Square Root Inverse Relationships with Restrictions
Graphing Trigonometric Functions
Solving Quadratic Equations by the Complete the Square Method
PIECEWISE FUNCTIONS.
All pupils are confident with function notation including:
Warm-Up Find the x and y intercepts: 1. f(x) = (x-4)2-1
Quadratics vertex form
9.3 Solving Quadratic Equations
Transformations L.O. All pupils can recall how changes in equations transform graphs of functions All pupils can confidently solve all the homework questions.
Transforming Trigonometric Graphs
Transformations on Trigonometric Graphs
All pupils can substitute into functions written in function notation
All pupils can sketch a variety of graphs
Piecewise-defined Functions
Section 4.4 Solve.
Differentiation L.O. All pupils are aware of differentials of common functions All pupils can solve basic differentiation questions Some pupils can solve.
Optimisation L.O. All pupils understand how quadratics can model real life situations All pupils recognize how parts of the graph relate to the real life.
Parent Functions.
Graphing Quadratic Functions
Simultaneous Equations
3.3 The Inverse of a Quadratic Function
Quadratic Equations L.O.
all pupils can find the area of a triangle using trigonometry
Substitution L.O. All pupils can complete simple substitutions
The Quadratic Formula L.O.
Roots of Quadratics L.O. All pupils understand what roots of quadratics are graphically and algebraically All pupils are confident with finding the roots.
Exploring Quadratic Expressions
Parent Functions.
Inequalities L.O. All pupils understand possible values of inequalities All pupils can show inequalities on a number line Some pupils can manipulate inequalities.
Quotient Rule L.O. All pupils can solve basic differentiation questions All pupils can solve some problems requiring the Quotient Rule.
All pupils can read off the base trigonometric graphs
Objective Solve quadratic equations by factoring..
DO NOW Homework: Lesson 5-2 Practice (pg. 75)
Composite Functions L.O.
All pupils know what polynomials are
Indices and Powers L.O. All pupils can describe the different types of numbers All pupils can write natural numbers in index form and the other way around.
Product Rule L.O. All pupils can solve basic differentiation questions
Functions L.O. All pupils can describe the different types of functions All pupils can find the domain and range of basic functions Some pupils can find.
Exam Style Questions Practice
All pupils can use circle theorems to solve a variety of questions
How does substitution help link equations and their graphs?
Quadratic Graphs.
All pupils can recall information on real life graphs
Different Types of Functions
Quadratic graphs.
All pupils know what polynomials are
All pupils can define a linear equation
More Linear Equations L.O.
Further Investigating Quadratics
The Quadratic Formula L.O.
Rates of Change L.O. All pupils can recall information on real life graphs to both draw and visualise them All pupils can apply their knowledge of on a.
Composite and Inverse Functions
Quadratic Sequences L.O.
All pupils can solve equations involving logs
Quadratics L.O. All pupils can recall information about quadratic functions All pupils can answer a variety of questions about quadratic functions.
Function Notation L.O. All pupils can understand function notation
Gradients L.O. All pupils can find the gradient of linear graphs
Other ways of Describing Sequences
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
All pupils can recall and work with a variety of functions
Points of Intersection using Algebra
The Quadratic Formula and Factorising
2.1(b) Notes: Graphing Quadratic Functions
Presentation transcript:

More Functions L.O. All pupils can recall the different types of functions All pupils can find the domain and range of basic functions Some pupils can find the domain and range of harder functions

Starter: What are the four different types of equation? different types of functions What are the four different types of equation? Which two are functions? Write an example for each of the four types of equations.

More Functions L.O. All pupils can recall the different types of functions All pupils can find the domain and range of basic functions Some pupils can find the domain and range of harder functions

Main 1: What does domain mean? What does range mean? domain and range of basic functions What does domain mean? What does range mean?

These are the equations we were looking at last lesson: Main 1: domain and range of basic functions These are the equations we were looking at last lesson:

Main 1: domain and range of basic functions IWB: using their graphs, estimate the domain and range of each of them.

More Functions L.O. All pupils can recall the different types of functions All pupils can find the domain and range of basic functions Some pupils can find the domain and range of harder functions

Main 2: Examples of domain and range for quadratics Hint: domain and range of basic functions domain and range of harder functions Examples of domain and range for quadratics Hint: Use the completed square form! Task: Some quadratics for you to try…. Ext. Some different functions (from Main 1) for you to try

More Functions L.O. All pupils can recall the different types of functions All pupils can find the domain and range of basic functions Some pupils can find the domain and range of harder functions

Plenary: Is this a function?

More Functions L.O. All pupils can recall the different types of functions All pupils can find the domain and range of basic functions Some pupils can find the domain and range of harder functions