How to create a graph and how to interpret different graph designs

Slides:

Advertisements

Similar presentations

Graphing Techniques and Interpreting Graphs

Advertisements

VISUALIZING DATA Ch. 2 Sect. 3. Graphing Data Charts are used to help analyze data Independent variable  Variable that is changed or manipulated  Experimenter.

2.4 Graphing Linear Equation Sept 4, Y-intercept a point where a graph intersects the y-axis Vocabulary equation written in the form Ax + By = C.

1 Linear Equation Jeopardy SlopeY-int Slope Intercept Form Graphs Solving Linear Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

Slope-Intercept and Point-Slope Forms of a Linear Equation.

Systems of Equations OBJECTIVES To understand what a system of equations is. Be able to solve a system of equations from graphing the equations Determine.

TOOLS USED TO EXPRESS RELATIONSHIPS

Linear Models. Functions n function - a relationship describing how a dependent variable changes with respect to an independent variable n dependent variable.

Graphing & Interpreting Data

Section 5: Graphs in Science

Graphing in Science.

Pg  Scientific method  make observations  Do experiments  Create models/theories  Explain results/predict new answers.

WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.

Name : ___________( ) Class: _______ Date : _______

Graphing The relationship between two variables can often be determined by organizing experimental data into a graph.

IMP 1- 11/9 (P), 11/10 (W) Warm Up- simplify each expression 1 ) 2 (x – 3) 2) 2x + 5x + 5y + 6y + 3 3) 2(x + 6) 4) 3x x – 10 5) 10 – 2(3 + 4)

How do scientists show the results of investigations?

Graphing Linear Equations

Graphs Recording scientific findings. The Importance of Graphs Line Graphs O Graphs are a “picture” of your data. O They can reveal patterns or trends.

Physics Toolkit Graphing Data. Physics Toolkit  Objectives  Graph the relationship between independent and dependent variables  Interpret graphs 

2.4 Graphing Linear Equation Sept 12, Y-intercept a point where a graph intersects the y-axis Vocabulary equation written in the form Ax + By =

Graphing Exercise. In this exercise you are going to make as many dots as you can on your whiteboard in a chosen amount of time. You will then graph your.

A graph represents the relationship between a pair of variables.

9.3 Graphing Quadratic Functions

Science Starter! Perform the following conversions and dimensional analysis problems. Reflect your answer in scientific notation. 1)30 in  mm 2)50 mi/hr.

Graphing Types of graphs & how to create graphs in Excel.

1.3 Graphing Data Using Graphs to Get Useful Information from Data.

GRAPHING AND RELATIONSHIPS. GRAPHING AND VARIABLES Identifying Variables A variable is any factor that might affect the behavior of an experimental setup.

GRAPHING A “PICTURE” OF THE RELATIONSHIP BETWEEN THE INDEPENDENT AND DEPENDENT VARIABLES.

Graphing  A mathematical picture  Graphs are used to show information quickly and simply  Change one variable at a time to determine relationships 

Section 1-3: Graphing Data

Graphing Equations Slope Intercept form and Point Slope form.

Lesson 2.5 – Graphing Lines Concept: Graphing Lines EQ: How do we graph linear equations? CED 2 Vocabulary: Coordinate PlaneIndependent Variable SlopeDependent.

Graphing Linear Equations

Often the goal of an experiment is to find the relationship between two variables. As one variable changes, so does the other. Graphing is a useful way.

A Physics Toolkit Chapter Graphing Data Original Speed (m/s) Braking Distance (m) Section 1.3.

Visualizing Data Section 2.3

Graphing Linear Equations In Standard Form Ax + By = C.

Graphing Linear Equations In Standard Form Ax + By = C.

Graphing Data A variable is any factor that might affect the behavior of an experimental setup. Identifying Variables Section 1.3 The independent variable.

Introduction To Slope. Slope is a measure of Steepness.

Equations in two variables can be represented by a graph. Each ordered pair (x,y) that makes the equation true is a point on the graph. Graph equation.

Graphing Steps, Types, & Relationships. Steps  Draw axes on graph paper with ruler.  Label axes with quantity and unit.  Determine range of x & y quantities.Scale.

Representing Proportional Relationships 8.EE.5 - GRAPH PROPORTIONAL RELATIONSHIPS, INTERPRETING THE UNIT RATE AS THE SLOPE OF THE GRAPH. COMPARE TWO DIFFERENT.

 Graphs are the best way to visually represent relationships between two variables.  Y-AXIS (VERTICAL)  for our purposes this will always be distance.

Integrated Mathematics. Objectives The student will be able to:: 1. graph linear equations. 2. write equations in point- slope form.

Objectives  Graph the relationship between Independent and Dependent Variables.  Interpret Graphs.  Recognize common relationships in graphs.

AP PHYSICS 1 SUMMER PACKET Table of Contents 1.What is Physics? 2.Scientific Method 3.Mathematics and Physics 4.Standards of Measurement 5.Metric System.

Slope-Intercept and Standard Form of a Linear Equation.

Standard and Slope-Intercept Form

Rules for Graphing.

Aim: How to plot or graph data

IB Physics: Chapter 1 Lesson 2b: Graphs.

Types of graphs, their relationship and equation

Making Science Graphs and Interpreting Data

Section 5: Graphs in Science

Graphing Graph of a Linear Equation x and y Intercepts Slope of a Line

Making Science Graphs and Interpreting Data

GRAPHS AND RELATIONSHIPS

Graphing Techniques and Interpreting Graphs

Review of Graphing – xy plots

Graphing and Relationships

Graphing Skills Practice

Review of Graphing – xy plots

Making Science Graphs and Interpreting Data

Aim: How to plot or graph data

Graphing Data Section 1-3.

Presentation transcript:

How to create a graph and how to interpret different graph designs Graphing How to create a graph and how to interpret different graph designs

Rules for plotting data Identify the independent and dependent variables. Ind. Variable: A. the value you control / change B. always on the X-axis Dep. Variable: A. the result of the change to the I.V. B. always on the Y-axis

Rules for plotting data (cont.) Determine the range of the I.V. to be plotted Decide if a (0,0) origin is a valid data point Spread the data out as much as possible (each division on the graph paper should be the largest convenient unit) Number and label the X-axis Repeat steps 2 – 5 for D.V.

Rules for plotting data (cont.) Plot the data points Draw line of best fit or smooth curve DO NOT play connect the dots!!! Give the graph a title that tells what it represents Include any other info. that is asked (formula, equation, etc.)

Types of Graphs Linear Relationship – 1. Directly proportional 2. Graph : straight line 3. Equation : y = mx + b m = slope ; b = y-intercept 4. m = rise ∆y run ∆x

Types of Graphs (cont.) Linear Relationship (cont.) – 5. Y-intercept (b) = the Y value when the X value is 0. 6. When b = 0, the equation becomes y = mx

Linear Relationship Graph

Types of Graphs (cont.) Nonlinear Relationships – A. Quadratic Relationship: 1. Graph : Parabola 2. Equation : y = ax2 + bx + c (a, b, & c are constants) 3. if b = 0 and c = 0; then y =ax2 (if x gets larger, then y gets larger by the square of x)

Quadratic Relationship Graph

Types of Graphs (cont.) Nonlinear Relationships – B. Inverse Relationship: 1. Graph: Hyperbola 2. Equation: y = a/x or xy = a 3. As x gets larger, y gets smaller 4. This is an indirect relationship

Inverse Relationship Graph