Unit 3 Collecting and Graphing Data for Linear and Quadratic Relations LG: I can determine whether a set of data represents a linear or quadratic relationship.

Slides:



Advertisements
Similar presentations
7-5 solving quadratic equations
Advertisements

Degree and Finite Differences. How the degree translates to a function DegreeFunction 0Constant 1linear 2quadratic 3cubic.
5.8 Quadratic Inequalities
Fitting a Function to Data Adapted from Walch Education.
Linear, Exponential, and Quadratic Functions. Write an equation for the following sequences.
Algebra II March 2 nd Students should complete warm-up problems. Given a graph of a system of equations students will be able to determine how many solutions.
Choose functions using sets of ordered pairs EXAMPLE 1 Use a graph to tell whether the ordered pairs represent a linear function, an exponential function,
Solving Systems of Equations Graphically. Quadratic Equations/ Linear Equations  A quadratic equation is defined as an equation in which one or more.
3-1 Graphing Linear Equations
Chapter 1.1 Lines. Objectives Increments Slope Parallel and Perpendicular Equations Applications.
6.1 Polynomial Functions.
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
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.
5-1 Modeling Data With Quadratic Functions Big Idea: -Graph quadratic functions and determine maxima, minima, and zeros of function. -Demonstrate and explain.
Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.
UNIT QUESTION: Can real world data be modeled by algebraic functions?
2.1.1 Calling Plans day 3 Unit 2: Linear Relationships SWBAT: Compare calling plans by using graphs, tables, and equations.
Time (days)Distance (meters) The table shows the movement of a glacier over six days.
M3 1.5 Systems of Linear Inequalities M3 1.5 Systems of Linear Inequalities Essential Questions: How can we write and graph a system of linear inequalities.
6.6 Analyzing Graphs of Quadratic Functions. The vertex form of a quadratic function gives us certain information that makes it very easy to graph the.
Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:
Big Idea: -Graph quadratic functions. -Demonstrate and explain the effect that changing a coefficient has on the graph. 5-2 Properties of Parabolas.
Level34567 Sequences I can draw the next two patterns in a sequence. I can work out what the next two terms (numbers) in a sequence will be. I can find.
Lesson 88 Warm Up Pg Course 3 Lesson 88 Review of Proportional and Non- Proportional Relationships.
Topic 5: Modeling with Linear and Quadratics Functions 5.4 Graphing a Quadratic Function.
5.6 More Graphs of Polynomial Functions
The Real Roots of Polynomials
ALGEBRA 1 CHAPTER 7 LESSON 5 SOLVE SPECIAL TYPES OF LINEAR SYSTEMS.
8-6 Solving Polynomial equations in factored form
Grade 10 Academic (MPM2D) Unit 3: Algebra & Quadratic Models Finite Differences Investigations Mr. Choi © 2017 E. Choi – MPM2D - All Rights Reserved.
Chapter Direct variation.
Solving Linear Equations
Lesson 9-4 Linear, Quadratic, and Exponential Models
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.
Chapter 9 Modeling With Functions
Points of intersection of linear graphs an quadratic graphs
KnighT’s Charge 8/26/15 A. Complete the “Victory Lap”.
Mathematical relationships, science, and vocabulary
Algebra 1 Section 6.6.
Linear and Nonlinear Functions
Warm-up: What strategies can be used to perform arithmetic operations on polynomials? Varies..Ex: Grouping like terms Handout Q4 W4 Warmups.
Linear Models and Equations
Before: March 12, 2018 Evaluate x² + 5x for x = 4 and x = -3.
Warm Up Simplify: a)
Residuals and Residual Plots
1.7 Nonlinear Regression.
A graphing calculator is required for some problems or parts of problems 2000.
Linear Systems Note / Handout.
Quadratic Functions PreCalculus 2.1.
Graphing Piecewise Functions
Warm Up Linear Relationships Sudoku.
Drawing Quadratic Graphs
Moving Straight Ahead Students will work on linear equations, solving equations, solving inequalities, determining slopes and what they mean, and determining.
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.
5.1 Solving Systems of Equations by Graphing
Main Idea and New Vocabulary Example 1: Identify Linear Relationships
Pod # 32 February 6, 2019.
Graph Review Skills Needed Identify the relationship in the graph
Quadratic Graphs.
Objectives Compare linear, quadratic, and exponential models.
Chapter 5: Graphs & Functions
Solve each quadratic using whatever method you choose!
Homework Due Tomorrow Bellringer 2.23.
Graph Linear Inequalities in Two Variables
LINEAR & QUADRATIC GRAPHS
Tell whether the slope is positive or negative. Then find the slope.
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
Line Graphs.
Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.
Presentation transcript:

Unit 3 Collecting and Graphing Data for Linear and Quadratic Relations LG: I can determine whether a set of data represents a linear or quadratic relationship by graphing and calculating differences in y-values

Calculating Differences xyFirst Differences Second Differences y2 –y1 (subtract upper y value from lower y value)

Group Work! Examine 2 different scenarios Gather data for each Graph and calculate first and second differences Main Idea: Explain how you can determine whether data is linear or quadratic by: – Looking at the graph and – Looking at differences in y-values

Homework Complete handout “Distance-Time”