Data often can be represented by a scatter plot. Lots of the time, we are interested in finding out the rate of change, aka slope, whether it be a decrease.

Slides:



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

Writing Linear Equations Using Slope Intercept Form
Systems of Equations Sasha Merkel ITC 525 Summer Session I 2010 Contact Me.
4.7 Graphing Lines Using Slope Intercept Form
Chapter 3 Section 4 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Writing and Graphing Equations of Lines
Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept.
How to Graph a Linear Inequality. Linear Inequalities linear inequality  A linear inequality describes a region of the coordinate plane that has a boundary.
Quick Graphing Using Slope-Intercept Form In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection.
Lesson 5.6 Point-Slope Form of the Equation of a Line.
Learning Objectives for Section 1.2 Graphs and Lines
Please open your laptops, log in to the MyMathLab course web site, and open Daily Quiz 16. IMPORTANT NOTE: If you have time left out of your five minutes.
1 Learning Objectives for Section 1.3 Linear Regression The student will be able to calculate slope as a rate of change. The student will be able to calculate.
Writing Linear Equations Given Two Points On the Line Using the "Slope – Intercept" Form.
3.4 Graph of Linear Equations. Objective 1 Use the slope-intercept form of the equation of a line. Slide
Systems of Linear Equations Recalling Prior Knowledge.
Write an equation given two points
Introduction Data surrounds us in the real world. Every day, people are presented with numbers and are expected to make predictions about future events.
Graphing Equations. Given an equation, student will be able to  Graph the equation of the line with 80% accuracy.  Identify slope and y-intercept with.
2-4: Writing Linear Equations Using Slope Intercept Form.
Chapter 5:Write the equation of a line Given a Point and a Slope.
Suzanne Louks.  This project came about from a curriculum/test analysis workshop where we looked at the Algebra practice test scores and decided where.
1 Learning Objectives for Section 1.2 Graphs and Lines The student will be able to identify and work with the Cartesian coordinate system. The student.
1.Take out last night’s homework assignment for me to come by and grade. Take out your “Opener” hand out. 2.You will have about 10 minutes to work out.
Lesson 2.10 Solving Linear Inequalities in Two Variables Concept: Represent and Solve Systems of Inequalities Graphically EQ: How do I represent the solutions.
Warm-up Presentation Lesson Quiz
LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.
Points and Ordered Pairs Plot points on the rectangular coordinate system. Plot the x coordinate first then the y coordinate. This is an ordered pair.
Copyright © Cengage Learning. All rights reserved. Systems of Linear Equations and Inequalities in Two Variables 7.
There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323.
Chapter 5:Write the equation of a line Given Two Points.
WARM UP YOU’RE CERTIFIED! 5.3 Writing Linear Equations Given Two Points Today’s Schedule: Lesson 5.3 Powerpoint Lesson 5.3 Powerpoint.
What can I expect to make on a test if I do no homework? Homework Strike!!
Copyright © 2009 Pearson Education, Inc. CHAPTER 1: Graphs, Functions, and Models 1.1 Introduction to Graphing 1.2 Functions and Graphs 1.3 Linear Functions,
Chapter 3 Section 4. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Writing and Graphing Equations of Lines Use the slope-intercept.
Systems of Equations Solving by Graphing Systems of Equations One way to solve equations that involve two different variables is by graphing the lines.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. DO NOW: Solve for y. 1.4x – y = 7 2.x + 2y = – 6y = 9x Y = 4x – 7 Y = -1/2x + 4 Y.
1 - 1 © 2012 Pearson Education, Inc.. All rights reserved. Section 1.1 Slopes and Equations of Lines How are linear relationships used to model and solve.
Holt Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.
WARM UP GRAPHING LINES Write the equation in slope- intercept form and then Graph. (Lesson 4.7) 1.3x + y = 1 2.x + y = 0 3.y = -4 3.
MAT 150 Module 2 – Linear Functions Lesson 2 – Graphing Linear Functions.
Warm up Write the slope and y-intercept for the following linear functions 1.y = 4x – 6 2.y = -3x y = 4 – 2x 4.y = 1/3x y = -2/3x.
Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept.
Graphing Points & Lines Sections covered: 1.8 The Coordinate Plane 3.6 Lines in the Coordinate Plane.
Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.
Equation of the Line Unit Page y = m x+ b I. Objectives of the Unit Objectives of the Unit Objectives of the Unit II. Concepts Concepts III. Terms used.
Write Linear Equations in Point- Slope Form Section 4.3 beginning on page 242.
1.Take out last night’s homework assignment for me to come by and grade. Take out your “Opener” hand out. 2.You will have about 10 minutes to work out.
 Slope-Intercept Form:  y = mx + b  where m is the slope and b is the y-intercept.  How do you know you have b? Either you will see b = ??, or you.
PLOT ANY POINT Solutions To Linear Equations.
Review Linear Functions Equations, Tables & Graphs
Scatter Plots and Lines of Fit
Splash Screen.
Please get out your completed 8
Splash Screen.
Chapter 3 Section 4.
Math Talk: Mental computation
Taken out of context A Practice Understanding Task
Chapter 3 Section 4.
Lesson Objective: I will be able to …
Quick Graphs of Linear Equations
y – y1 = m (x – x1) Topic: Writing Equations in Point-Slope Form
Splash Screen.
Warm- up #38 Graph on the same coordinate plane: 1.) 5x +2y < -10
2-4: Writing Linear Equations Using Slope Intercept Form
First let’s review 5.1 y = mx + b
Remember! If you are absent, do the following BEFORE you come back to class Go to my website (type Muehleck into Google) Click on the lesson notes link.
Write Linear Equations in Point-Slope Form
5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0
WARM UP 3 WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson.
Presentation transcript:

Data often can be represented by a scatter plot. Lots of the time, we are interested in finding out the rate of change, aka slope, whether it be a decrease or increase between two points. Furthermore, it’s helpful to be able to write an equation that models the data so that we can make future predictions. How can we represent two data points with an equation in Slope Intercept Form ? In order to figure this out, you will complete the following activity Next These materials are © 2005 NAME, SCHOOL, all rights reserved.

You will visit the following websites in order to understand rate of change/slope better as well as how to represent two points in the coordinate plane with an equation in Slope Intercept Form. In the examples, you will see a variety of information given, but the task will be the same: Write an equation in slope intercept form. Get an quick review of slope! Copy down the concept and problems 1 & 2 in your notebook. Click Here!Click Here! Watch/copy down the concept, problems 1, 2, and 4 in your notebook. Click Here!Click Here! Given two points, what additional step is necessary? Click here to find out how! Copy down problems 1 and 2 in your notebook.Click here Next These materials are © 2005 NAME, SCHOOL, all rights reserved.

Now that you have taken notes on how to write equations of lines, given various information, in slope intercept form, you will practice this skill given two points. Refer back to your notes as well as back to the websites for help! An answer key is provided for you to be able to check yourself as you work through the problems. Problem Set Next These materials are © 2005 NAME, SCHOOL, all rights reserved.

To show that you really understand the concept of writing an equation of a line in slope intercept form given two points, you will create a brochure outlining the necessary steps. Directions for creating brochure: 1. Fold the clean sheet of computer paper into three sections (along the dotted lines). 2. Create a title page and include step 1, step 2, and step 3 pages. 3. On the step 1 page, make up your own problem with two points before the actual step On each page, show appropriate work and after the work write two-three sentences describing what you did. In the work, highlight key steps and values being used. 5. Be sure to be neat, use proper punctuation, and make each page colorful. Get the rubric for this project here: Brochure RubricBrochure Rubric Next These materials are © 2005 NAME, SCHOOL, all rights reserved.

Now it is your turn to do some research! For EXTRA CREDIT, find a real life scenario where slope intercept form is used to describe the situation. Find a problem online involving slope intercept form and think about what the slope represents in the context of the problem as well as what the y-intercept means as well. Directions : In a word document, state what the scenario is, what the slope and y- intercept represent, and be sure to use complete sentences as well as proper punctuation. Your response should be 5-8 sentences in length. Copy, paste, and me your response. Save a copy on your flash drive Next These materials are © 2005 NAME, SCHOOL, all rights reserved.

Directions : Give students 80 minutes to complete the lesson’s activities. Either do in one block period or split into two separate days. (Use your best judgment if you’re splitting this into two separate days.) You may want to consider printing out the graphic organizer (slide 3) for each student or just having them copy it down on a clean sheet of paper. Provide students with a sheet of paper that has been marked ahead of time with the lines appropriate for folding and creating a brochure (slide 4). Student Objective : SWBAT calculate the slope between two points as well as substitute values into y = mx + b and solve for b in order to write equations in slope intercept form. Curriculum Alignment : Unit E5, 5-4 Writing Equations in Slope Intercept Form Curriculum Unit Indicator : Use tables and graphs to write linear equations in slope- intercept, point-slope, and standard form. Curriculum Objectives : Write an equation of a line given the slope and one point on a line. Write an equation of a line given two points on the line. Core Learning Goal Alignment for Maryland State Dept. of Education : 1.2 Expectation: The student will model and interpret real-world situations using the language of mathematics and appropriate technology. Indicators : 1.2.1, The student will determine the equation for a line, solve linear equations, and/or describe the solutions using numbers, symbols, and/or graphs These materials are © 2005 NAME, SCHOOL, all rights reserved.