All pupils can recall and work with a variety of functions

Slides:



Advertisements
Similar presentations
Identify Linear, Quadratic, and Exponential Functions N Distinguish quadratic and exponential functions as nonlinear using a graph and/or a table.
Advertisements

Solving quadratic equations Factorisation Type 1: No constant term Solve x 2 – 6x = 0 x (x – 6) = 0 x = 0 or x – 6 = 0 Solutions: x = 0 or x = 6 Graph.
Graphs equations and tables. External on the 14 th of November 4 credits Thanks to /
Evaluate each expression for the given value of x.
Quadratic Equations Learning Outcomes  Factorise by use of difference of two squares  Factorise quadratic expressions  Solve quadratic equations by.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
Applications of Quadratic Equations Slideshow 23, Mathematics Mr Richard Sasaki, Room 307.
Difference between Expression and Equation?. L.O. To be able to solve Quadratic Equations There are several ways to solve a quadratic equation Factorising.
Objectives: To further understand the natural exponential e and natural logarithms. To solve equations involving e and ln. To know that e x and lnx are.
Topics: Be able to writes equations of Linear Functions from numerical representations. Be able to writes equations of Absolute Value Functions from numerical.
All pupils are confident with function notation including:
All pupils can solve inequalities algebraically and graphically
Topics: Be able to writes equations of Linear Functions from numerical representations. Be able to writes equations of Absolute Value Functions from numerical.
Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.
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
Topics: Be able to writes equations of Linear Functions from numerical representations. Be able to writes equations of Absolute Value Functions from numerical.
1. Use the quadratic formula to find all real zeros of the second-degree polynomial
All pupils can substitute into functions written in function notation
All pupils can sketch a variety of graphs
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.
Simultaneous Equations
Graphs of Exponential Functions
Quadratic Equations L.O.
Exploring Quadratic Expressions
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
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
Trigonometry Practice Questions
All pupils know what polynomials are
Learning Targets Students will be able to: Compare linear, quadratic, and exponential models and given a set of data, decide which type of function models.
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?
How to describe all sections of the graph
All pupils can recall information on real life graphs
Different Types of Functions
Quadratic graphs.
Algebra - Brackets L.O. All pupils understand the importance of brackets Most pupils can use brackets in situations with algebra.
Objectives Compare linear, quadratic, and exponential models.
Chapter 5: Graphs & Functions
All pupils can define a linear equation
Differentiation and Optimisation
Algebra – Brackets 2 L.O. All pupils can expand linear expressions
Solve each quadratic using whatever method you choose!
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
Revision of the year so far
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.
1.) What is the value of the discriminant?
LINEAR & QUADRATIC GRAPHS
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
All pupils can confidently work with unknowns
Points of Intersection using Algebra
What can your remember about triangles?
The Quadratic Formula and Factorising
Remember, the coordinates should form a straight line.
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.
Exponential Verses Linear
Presentation transcript:

All pupils can recall and work with a variety of functions L.O. All pupils can recall and work with a variety of functions

Do other topics link to them? Starter: Draw a spider diagram of all the different types of functions we have looked at this year. Do other topics link to them?

Linear Quadratic All Functions Exponential Starter: Gradient Linear Factorising y intersect Completing the Square Quadratic All Functions Quadratic Formula Tables of values Exponential Graphing Real Life Situations

All pupils can recall and work with a variety of functions L.O. All pupils can recall and work with a variety of functions

Main: work with a variety of functions Using your notes and previous knowledge, work through the revision worksheets on functions.

All pupils can recall and work with a variety of functions L.O. All pupils can recall and work with a variety of functions

Plenary:

All pupils can recall and work with a variety of functions L.O. All pupils can recall and work with a variety of functions