Bell Ringer 25 June 2009. LT: Interpret a distance-time graph to properly describe the motion of an object. Discuss with your team how the motion of an.

Slides:

Advertisements

Similar presentations

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

Advertisements

Graph a linear equation Graph: 2x – 3y = -12 Solve for y so the equation looks like y = mx + b - 3y = -2x – 12 Subtract 2x to both sides. y = x + 4 Divide.

3-5 Lines in the coordinate plane M11. B

Definition  Regression Model  Regression Equation Y i =  0 +  1 X i ^ Given a collection of paired data, the regression equation algebraically describes.

Bell Ringer Write an equation in slope – intercept form that is parallel to the line 5

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

Graphs. The results of an experiment are often used to plot a graph. A graph can be used to verify the relation between two variables and, at the same.

Big Idea 12: Motion of Objects A. Motion is a key characteristic of all matter that can be observed, described, and measured. B. The motion of objects.

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.

What is motion? Motion is the change in the position of an object. To describe the motion of an object we use terms like: Distance, displacement, speed,

Graphing Motion. A. Motion 1. Can be shown on a line graph a.Plot distance (or position) against time. b.Time: Horizontal, x -axis c. Distance:Vertical,

Plotting graphs Drawing best fit lines (or curves) Calculating slope = calculating velocity Describing Motion: Position vs Time Graphs.

Interpreting Motion Graphs {Forces and Motion. Distance vs Time Graphs The motion of an object is defined by its change of position over a period of time.

Graphing Motion NLMS motion 7.P.1.3 Illustrate the motion of an object using a graph to show a change in position over a period of time. 7.P.1.4.

Calculating Slope of a Line What you should have remembered from Gr. 9! See…your teachers told you you’d see it again…..and??? They were correct!!

Chapter 5: Linear Functions

Slope = change in y change in x Understanding Slope COURSE 3 LESSON 3-3 Using coordinates, find the slope of the line between P (–2, 3) and Q (–1, –1).

Bell Quiz. Objectives Find the slope of a line using the slope formula.

AP STATISTICS LESSON 3 – 3 LEAST – SQUARES REGRESSION.

1.6 Linear Regression & the Correlation Coefficient.

Linear Regression Least Squares Method: an introduction.

4 Linear Motion On a speed-versus-time graph the slope represents speed per time, or acceleration. 4.7 Graphs of Motion.

Position Time Graphs Physics.

Chapter 2 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc More on Slope.

Line of Best Fit 4-8 Warm Up Lesson Presentation Lesson Quiz

1. Use the following points from a graph to determine the slope. (2,15), (8, 45) 2. What does it mean for a line to be linear? 3. On a distance/time graph,

Notes Over 2.1 Graphing a Linear Equation Graph the equation.

Graphs of Motion.

Section 2 Speed and Velocity.

^ y = a + bx Stats Chapter 5 - Least Squares Regression

Any vector can be written as a linear combination of two standard unit vectors. The vector v is a linear combination of the vectors i and j. The scalar.

Direction Makes a Difference Quantities that describe magnitude but DO NOT include direction are called scalar quantities or just scalars. (distance, speed,

Bell Ringer 29 June LT: Describe how acceleration over a period of time affects the velocity of an object. Discuss with your team which forces applied.

Visualizing Data Section 2.3

Motion Definition Change in position of an object over a period of time relative to a reference frame.

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

 “Speed and Velocity”.  Key Questions How do you calculate speed? How can you describe changes in velocity? How can you interpret graphs of distance.

CHAPTER 3 Describing Relationships

Speed vs. Velocity.

Bell Work - ALL Activator

Bell Work - ALL Activator

Building Linear Models from Data

Slope of a Line (6.1).

Objective- To use slope and y-intercept to

Students will be able to calculate and interpret inverse variation.

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.

^ y = a + bx Stats Chapter 5 - Least Squares Regression

Linear Models and Equations

Today’s Target…. I can identify patterns and trends on a graph. Today I will identify patterns and trends on a graph showing the motion of an object.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

DRILL Given each table write an equation to find “y” in terms of x.

Graphing Notes Part 2.

Least-Squares Regression

Graphing and Writing Equations in Standard Form

Graphing Notes Part 2.

Chapter 1 Graphs.

3.2 – Least Squares Regression

Graphing Notes Part 2.

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

How to describe all sections of the graph

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)

Graph lines given their equation. Write equations of lines.

Chapter 1 Motion.

Plot Points in a Coordinate Plane

9/27/ A Least-Squares Regression.

Distance, Displacement & Speed

CN: Graphing Horizontal and Vertical Lines

COURSE 3 LESSON 3-3 Understanding Slope

Presentation transcript:

Bell Ringer 25 June 2009

LT: Interpret a distance-time graph to properly describe the motion of an object. Discuss with your team how the motion of an object can be described with a graph.

Describe tumble buggy motion Define the system - What must we include; what may we disregard? Define the variables - What aspects are likely to change in our description of the motion?

Making a distance-time graph Start your stopwatch when car passes the starting line. Every 5 seconds place a washer beside the tumble buggy’s position (distance measured from the starting line). Record distance and time, and make a d-t graph.

Interpreting a dist-time graph

Best-fit Line for Tumble Buggy Determine expected model of best-fit line (e.g., proportional, linear, inverse). Determine if line must pass through origin. Fit line so that it minimizes the sum of all vertical deviations (residuals) from that line. Correct Fit Minimize Residuals

Interpreting Slopes To find slope, identify two points on best-fit line. Identify one point’s coordinates as (x P, y P ) and the other point’s coordinates as (x R, y R ). Calculate slope = change in y divided by change in x. Slopes can be + (a and b), - (c and d), 0 (horizontal), or infinite (vertical).