Graphs equations and tables. External on the 14 th of November 4 credits Thanks to /

Slides:

Advertisements

Similar presentations

Objective - To graph linear equations using the slope and y-intercept.

Advertisements

Sketching a Parabola if the x-Intercepts Exist

Warm Up… Solve each equation for y.

Objective : 1)Students will be able to identify linear, exponential, and quadratic equations when given an equation, graph, or table. 2)Students will be.

Theta Mathematics Workbook (NCEA L2) © Pearson Education New Zealand 2005 x y Draw the graphs of the line y = 2x and the parabola given by y =

Quadratic Equations A quadratic is any expression of the form ax 2 + bx + c, a ≠ 0. You have already multiplied out pairs of brackets and factorised quadratic.

Quadratic Graph Drawing.

9-7 Linear, Quadratic, and Exponential Models

EXAMPLE 3 Write an equation for a function

Linear, Exponential, and Quadratic Functions. Write an equation for the following sequences.

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.

Algebra 1 Notes Lesson 7-2 Substitution. Mathematics Standards -Patterns, Functions and Algebra: Solve real- world problems that can be modeled using.

Properties of Quadratics Chapter 3. Martin-Gay, Developmental Mathematics 2 Introduction of Quadratic Relationships  The graph of a quadratic is called.

Graphs equations and tables. External on the 14 th of November 4 credits Thanks to /

Structures 3 Sat, 27 November : :00 Straight line graphs and solving linear equations graphically 11: :00 Solving simultaneous equations:

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 Patterns of Change

Graphing Quadratic Equations

(409)539-MATH THE MATH ACADEMY (409)539-MATH.

Objectives: To identify quadratic functions and graphs and to model data with quadratic functions.

9-7 Linear, Quadratic, and Exponential Models. Linear, Quadratic, & Exponential Review.

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

Warm-up Problem S-Pattern Task1

Solving Quadratic Equation by Graphing

Investigating Characteristics of Quadratic Functions

Algebra I Section 9.3 Graph Quadratic Functions

Simultaneous, Quadratic, Exponential and Logarithmic Equations

Using The Discriminant

Quadratic Graph Drawing.

6.2 Solving Quadratic Equations by Graphing

IB Math Studies Topic: Functions

Rule of the Linear Function

Solving Quadratic Equations by Graphing

Solving Quadratic Equation by Graphing

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.

Solving a Quadratic Equation by Graphing

lesson 9.2 I CAN draw and label a three point graph.

Solving Quadratics by Factoring

Quadratics Review – Intercept & Standard Form

Quick Graphs of Linear Equations

Solving Quadratic Equation by Graphing

Solving Quadratic Equation by Graphing

Quadratic Equations L.O.

MATH CP Algebra II Exploring Quadratic Functions and Inequalities

Solving Quadratic Equation by Graphing

Maths Unit 7 – Coordinates and real life graphs

High School – Pre-Algebra - Unit 8

Solving Quadratic Equation

Drawing Quadratic Graphs

Maths Graphs & Equations

Solving simultaneous linear and quadratic equations

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.

Objective- To use an equation to graph the

Quadratic Graph Drawing.

Objectives Compare linear, quadratic, and exponential models.

Graphing with X- and Y-Intercepts

Drawing Graphs The straight line Example

Integrated Math 3 – Mod 3 Test Review

Chapter 5: Graphs & Functions

Solve each quadratic using whatever method you choose!

Calculate points from this table and plot the points as you go.

Using “T” Tables & Graphing Intercepts

All pupils can recall and work with a variety of functions

Quadratic Graph Drawing.

Maths Graphs & Equations

Factorise and solve the following:

Maths Unit 8 – Coordinates & Real Life Graphs

Maths Unit 9 (F) – Coordinates & Real Life Graphs

Presentation transcript:

Graphs equations and tables. External on the 14 th of November 4 credits Thanks to / / 2011 Ms Allan

Mathematics 1.3 Investigate relationships between tables, equations and graphs Linear equations Simultaneous linear equations Linear graphs Linear patterns Graphing parabolas Quadratic equations Quadratic patterns Exponential equations and graphs Interpreting gradients Linear equations Simultaneous linear equations Linear graphs Linear patterns Graphing parabolas Quadratic equations Quadratic patterns Exponential equations and graphs Interpreting gradients

Linear equations Solve for a,b and c: 3a+6 = 3-4a 3(b + 2) = 15 4c – 9 > c + 7

Simultaneous linear equations Solve for A and b A = 3b + 2 A = 6b - 8

Linear graphs Draw these graphs on a set of axis y = 2x + 3 X = 3 Y = 8 Y = -0.5x - 1

Linear graphs

Linear patterns For the sequence of diagrams below, find the rule for the number of white tiles (w) in terms of the number of black tiles (b).

Graphing parabolas Draw these graphs on a set of axis y = x y = -x y = (x-4) 2 y = (x+4) 2 + 1

Graphing parabolas

Quadratic equations What are the x intercepts of Y=(x-3)(x+4) Solve for x by factorising first 0 = x 2 + 7x + 12

Quadratic patterns Find a rule for calculating the total number of boxes in each diagram, if the number of boxes in the bottom layer is known. Draw up a table to show the number of boxes in the bottom layer and the total number of boxes in each diagram. Calculate the differences between the terms.

Exponential equations and graphs Draw the graphs of these equations on an x and y axis. Y=2 x Y=3 x + 2 Y=4 x

Exponential equations and graphs

Interpreting gradients Calculate the gradient of the 3 linear graphs. What do these gradients represent?