Graphing.

Slides:

Advertisements

Similar presentations

Equation of a line y = m x + b

Advertisements

The Linear Function.

Graphing Notes Part 2. Patterns When you graph data, you can identify what the pattern or trend of the data is.

Graphing equations. X Y I Y = 2X + 1 X Y ½ Y - intercept 0, 1 X - intercept -½, 0.

Find the Equation of a Line Slope intecept form: y = mx+b m is ? slope b is ? y intercept.

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

How do scientists show the results of investigations?

Prior Knowledge Linear and non linear relationships x and y coordinates Linear graphs are straight line graphs Non-linear graphs do not have a straight.

Principles of Physics.  motion along a straight line path, motion in one dimension  Which way are you headed?  How far did you go?  How fast are you.

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.

Unit 1, Chapter 2 Integrated Science. Unit One: Forces and Motion 2.1 Using a Scientific Model to Predict Speed 2.2 Position and Time 2.3 Acceleration.

Area of a circle Radius r (m) Area A (m 2 ) when r = 2.5 A = 20 (to 2sf) when A = 30 r = 3.1 (to 2sf)

Requirements of a good GRAPH. GRAPH  Title (usually “dependent” vs. “independent”)  Go Big (cover at least ½ the page in both directions) This increases.

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

Chapter One, Section 5: Graphs in Science

Graphing Data. Graphs All graphs must have title and labeled axis Labels let you know what information is shown.

Making and Using Graphs n Graphing data n Relationships n Slope.

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

Steps for Making and Interpreting a Graph. The scale can be different for each axis. Once a scale is chosen, keep it consistent. Don’t start out using.

Scientific Methods I Peter Popper plants prodigious plots of pea plants. Every week Peter measures the height of his pea plants and records the results.

Graphing Function Charts. X Y I Y = 2X + 1 X Y ½ Y - intercept 0, 1 X - intercept -½, 0.

3.5 Slope of a Line. What is Slope? Slope is a measure of the steepness of a line. When looking at a graph, we can determine slope by taking, or the vertical.

Linear Equation in Two Variables

Aim: How do you construct a proper physics graph?

Slope Slope is the steepness of a straight line..

Rules for Graphing.

Quick Graphing Using Slope-Intercept Form

Year 13 Physics Waimate High School

Aim: How to plot or graph data

Bell Ringer List 5 things that all good graphs should have.

Graphing For Science Class.

Linear Equations in two variables

Making Science Graphs and Interpreting Data

Section 5: Graphs in Science

Relationship between Current, Voltage, and Resistance

Foundations of Physical Science

Uniform motion.

Making Science Graphs and Interpreting Data

SLOPE = = = The SLOPE of a line is There are four types of slopes

Scientific Notation and Graphing

Graphing Review.

You might want to start your title ‘A graph to show....’

3-4 Equations of Lines Name the slope and y-intercept of each equation. 1. y = ½ x + 4 m = ½ b = 4 2. y = 2 m = 0, b = 2 (horizontal line) 3. x = 5.

Unit 4 Mathematics Created by Educational Technology Network

Motion and Force. Motion and Force Chapter Twelve: Distance, Time, and Speed 12.1 Distance, Direction, and Position 12.2 Speed 12.3 Graphs of Motion.

Graphing Notes Part 2.

Section 2-5 What Are Graphs?

Graphing and Relationships

Graphs, Variables, and Economic Models

Graphing Notes Part 2.

Aim – How can we represent quantities graphically?

Graphing Notes Part 2.

7.4 Slope Objectives: To count slope To use slope formula.

Graphing A. A graph is a visual representation of the relationship between two variables.   1. The two variables are:   a. Independent Variable = The.

Distance – Time Graphs Time is usually the independent variable (plotted on the x-axis) Distance is usually the dependent variable (plotted on the y-axis)

Graphing Skills Practice

Making Science Graphs and Interpreting Data

Aim: How to plot or graph data

Graphing Data Section 1-3.

Presentation transcript:

Graphing

Graphing (the basics) X-axis: Horizontal; Independent variable Y-axis: Vertical; Dependent variable Title: Dependent variable vs. Independent Variable Slope = Rise/Run or ∆y/ ∆x Formula of a line: y= mx+b m = slope b = y-intercept

Dependent vs. Independent Variable Best fit line If line looks straight, then do not connect the dots, draw a line that is the average of all of the dots Dependent Dependent vs. Independent Variable (Unit) Independent Variable (unit)

How to calculate Slope Find two points on your line Take the difference between the y-values Take the difference between the x-values Divide the y difference by the x difference For example… (5, 4) and (10, 7) 7-4 = 3 10-5 = 5 3/5 or 0.6

Types of Graphs Direct (as one increases; the other increases proportionally) Indirect (as one increases; the other decreases proportionally) Inverse (as one increases, the other decreases substantially) No Relationship