How does substitution help link equations and their graphs?

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

EXAMPLE 3 Write an equation for a function

13-1 Introduction to Quadratic Equations  CA Standards 14.0 and 21.0  Quadratic Equations in Standard Form.

Graphing Linear Inequalities

Warm-up 1.What are the different ways to solve quadratic equation? Solve the following problem by completing the square.

Table of Contents Solving Quadratic Equations – Quadratic Formula The following shows how to solve quadratic equations using the Quadratic Formula. A quadratic.

Rewrite the numbers so they have the same bases i.e. 8 2 = (2 3 ) 2.

6.5 Solving System of Linear Inequalities: VIDEOS equations/v/solving-linear-systems-by-graphing.

FTCE 5-9 Test Prep Center for Teaching and Learning.

Warm Up Solve the system by elimination: 4x – 6y = 2 5x + 3y = 1.

Algebra Review. Systems of Equations Review: Substitution Linear Combination 2 Methods to Solve:

Chapter 3 Linear Systems Review

Solving Nonlinear Systems

Solving Quadratic Equations by the Complete the Square Method

Solving System of Linear Equations

All pupils are confident with function notation including:

Nonlinear Graphs Homework Name: ____________________

Solve a system of linear equation in two variables

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

Literacy Research Memory Skill Challenge

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

Quadratic Equations L.O.

Substitution L.O. All pupils can complete simple substitutions

Exploring Quadratic Expressions

Quadratics – Absolute value

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.

10.4 Solving Quadratic Equations in Factored Form

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

Composite Functions L.O.

Solving simultaneous linear and quadratic equations

Absolute Value Equations Absolute Value Inequalities Factoring

All pupils know what polynomials are

Product Rule L.O. All pupils can solve basic differentiation questions

Quadratic Systems. What you’ll learn

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.

Systems of Equations Solve by Graphing.

Practicing Similarity and Congruence

All pupils can use circle theorems to solve a variety of questions

y x y = x + 2 y = x + 4 y = x – 1 y = 6x – 3 y = 2x y = ½x y = 3x + 1

Different Types of Functions

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.

Further Investigating Quadratics

The Quadratic Formula L.O.

Composite and Inverse Functions

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?

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 recall and work with a variety of functions

Points of Intersection using Algebra

The Quadratic Formula and Factorising

Remember, the coordinates should form a straight line.

Nonlinear Graphs Homework Name: ____________________

Solving a System of Linear 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.

Presentation transcript:

How does substitution help link equations and their graphs? L.O. All pupils can substitute into the SUVAT equations All pupils can substitute into linear and quadratic equations Most pupils can create tables of values to sketch graphs

Use the equations to solve the questions. Starter: SUVAT equations Wipeboards: Which equation would you use to solve each of the questions I speak to you? Use the equations to solve the questions.

How does substitution help link equations and their graphs? L.O. All pupils can substitute into the SUVAT equations All pupils can substitute into linear and quadratic equations Most pupils can create tables of values to sketch graphs

Main 1: The SUVAT equations are difficult equations to work with. substitute into linear and quadratic equations The SUVAT equations are difficult equations to work with. Substitute into these simpler equations: y=2x-3 Etc…

Main 1: substitute into linear and quadratic equations For each of the equations on the other board, substitute the values: x=-3 x=-2 x=-1 x=0 x=1 x=2 x=3

How does substitution help link equations and their graphs? L.O. All pupils can substitute into the SUVAT equations All pupils can substitute into linear and quadratic equations Most pupils can create tables of values to sketch graphs

create tables of values to sketch graphs Main 2: create tables of values to sketch graphs X Y 3 2 1 -1 -2 -3

How does substitution help link equations and their graphs? L.O. All pupils can substitute into the SUVAT equations All pupils can substitute into linear and quadratic equations Most pupils can create tables of values to sketch graphs

Plenary: Write down the steps and the skills needed to sketch an accurate graph of an equation.

How does substitution help link equations and their graphs? L.O. All pupils can substitute into the SUVAT equations All pupils can substitute into linear and quadratic equations Most pupils can create tables of values to sketch graphs