Different Types of Functions

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N 58 Graphical Solutions to Quadratic Functions Subject Content Reference: N6.7h GCSE Maths Number & Algebra.

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Unit 1 Test Review Answers

EXAMPLE 1 Solve a system graphically Graph the linear system and estimate the solution. Then check the solution algebraically. 4x + y = 8 2x – 3y = 18.

Solving Systems of Linear and Quadratic Equations.

Standard Form I can identify intercepts from an equation.

Trial and Improvement Objectives:

All pupils can solve inequalities algebraically and graphically

Graphing Inequalities

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

Quad Frame Vertex Name: For each equation:

Quadratic Functions and Equations

All pupils can sketch a variety of graphs

Solving Systems of Linear and Quadratic Equations

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.

Quick Graphs of Linear Equations

Simultaneous Equations

Graphs of Exponential Functions

Quadratic Equations L.O.

Substitution L.O. All pupils can complete simple substitutions

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

Quadratics graphs.

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

Algebra 1 Mini Posters Systems of Linear and Quadratic Equations

Similar Shapes L.O. All pupils can draw similar shapes

All pupils know what polynomials are

HW: Maintenance Sheet DUE

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.

Solving a System of Linear and Quadratic Equations Algebraically

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

Quadratic Graphs.

All pupils can recall information on real life graphs

Quadratic graphs.

Algebra - Brackets L.O. All pupils understand the importance of brackets Most pupils can use brackets in situations with algebra.

All pupils can define a linear equation

Algebra – Brackets 2 L.O. All pupils can expand linear expressions

Solve each quadratic using whatever method you choose!

More Linear Equations L.O.

Pythagoras L.O. All pupils can find the area of a triangle

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

Quadratic Sequences L.O.

Quadratics L.O. All pupils can recall information about quadratic functions All pupils can answer a variety of questions about quadratic functions.

Linear and Nonlinear Systems of Equations

1.) What is the value of the discriminant?

Function Notation L.O. All pupils can understand function notation

Gradients L.O. All pupils can find the gradient of linear graphs

Linear and Nonlinear Systems of Equations

Other ways of Describing Sequences

All pupils can recall and work with a variety of functions

All pupils can confidently work with unknowns

Quad Frame Vertex Name: For each equation:

Points of Intersection using Algebra

Nonlinear Graphs Homework Name: ____________________

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.

Algebra 1 Warm Ups 1/15.

Starter Rearrange the following equations to make y the subject.

Factorise and solve the following:

Presentation transcript:

Different Types of Functions L.O. All pupils can work with basic algebraic expressions All pupils can distinguish between different types of graphs

Starter: Solve for a 𝒂 𝟐 + 𝟐𝒂 𝟑 =𝟒

Different Types of Functions L.O. All pupils can work with basic algebraic expressions All pupils can distinguish between different types of graphs

What are the steps for sketching graphs? Main: different types of graphs What are the steps for sketching graphs? What must you ensure you include?

different types of graphs Main: different types of graphs Sketch each of the graphs on the other board on separate axis in your books. Ext. Which are linear? Which are quadratic? What does changing the equation do to the graph?

different types of graphs Main: different types of graphs Using your device, and the desmos website, sketch the extension graphs in your books. You do not need to draw a table of values, but you do need to make sure all the intersects are correct and the gradient is correct.

Different Types of Functions L.O. All pupils can work with basic algebraic expressions All pupils can distinguish between different types of graphs

Plenary: Write a short paragraph or bullet points to describe how changing the equation of the line, changes the graph’s shape and positioning on the axis.

Different Types of Functions L.O. All pupils can work with basic algebraic expressions All pupils can distinguish between different types of graphs