All pupils can sketch a variety of graphs

Slides:

Advertisements

Similar presentations

Sketching a Parabola if the x-Intercepts Exist

Advertisements

1.The standard form of a quadratic equation is y = ax 2 + bx + c. 2.The graph of a quadratic equation is a parabola. 3.When a is positive, the graph opens.

Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.

QUADRATIC GRAPHS Tables of values.

1.The standard form of a quadratic equation is y = ax 2 + bx + c. 2.The graph of a quadratic equation is a parabola. 3.When a is positive, the graph opens.

Warm Up  What do you know about circles?. Algebra 3 Chapter 10: Quadratic Relations and Conic Sections Lesson 3: Circles.

Do Now: Solve the equation in the complex number system.

Graphing Quadratic Functions in Standard Form 5.1 Algebra II.

Quadratics Review – Intercept & Standard Form August 30, 2016.

Algebra 2 Name:_____________________

Sketching the Derivative

All pupils are confident with function notation including:

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

Quadratics Review – Intercept & Standard Form

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.

Trigonometric Graphs L.O.

Simultaneous Equations

Graphs of Exponential Functions

Quadratic Equations L.O.

all pupils can find the area of a triangle using trigonometry

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

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

Scatter Plots and Equations of Lines

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.

Drawing Quadratic Graphs

What do you think will be the values of y?

All pupils know what polynomials are

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.

Drawing Graphs The parabola x Example y

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

How does substitution help link equations and their graphs?

The Quadratic Curve Wednesday, 01 May 2019.

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

Graphing Quadratic Equations

All pupils can recall information on real life graphs

Different Types of Functions

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

I will write a quadratic function in vertex form.

All pupils can define a linear equation

Write an Equation Given Two Points

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

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

All pupils can recall and work with a variety of functions

All pupils can confidently work with unknowns

The Quadratic Curve Monday, 27 May 2019.

Points of Intersection using Algebra

The Quadratic Formula and Factorising

All pupils can manipulate geometric sequences

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.

Effect of the Real Numbers h and k of a

Presentation transcript:

All pupils can sketch a variety of graphs More Algebra L.O. All pupils can sketch a variety of graphs Some pupils can see patterns between different graphs and their equations

Starter: Write down all the different things you know in algebra. Ext. Can you link them to graphs?

All pupils can sketch a variety of graphs More Algebra L.O. All pupils can sketch a variety of graphs Some pupils can see patterns between different graphs and their equations

Write down everything you know about this: Main: sketch a variety of graphs Write down everything you know about this: y=2x2 - 3

Main: Equation Parabola Quadratic y=2x2 - 3

Can you draw the graph of this equation? Main: Can you draw the graph of this equation? y=2x2 - 3

Main: -1, 5, 15, 29, 47 1 2 3 4 5 x y y=2x2 - 3

Main: -1, 5, 15, 29, 47 1 2 3 4 5 x y y=2x2 - 3

On the other board there are a variety of quadratic equations On the other board there are a variety of quadratic equations. Plot each of them using your device/calculator. Main: Equation Sketch of Graph How is it different to 𝒚= 𝒙 𝟐

All pupils can sketch a variety of graphs More Algebra L.O. All pupils can sketch a variety of graphs Some pupils can see patterns between different graphs and their equations

How does the equation change the graph of a quadratic functions? Plenary: How does the equation change the graph of a quadratic functions?

What Went Well? Even Better If?

All pupils can sketch a variety of graphs More Algebra L.O. All pupils can sketch a variety of graphs Some pupils can see patterns between different graphs and their equations