Dr. Birdley Teaches Science!
|
|
- Rosemary Anthony
- 5 years ago
- Views:
Transcription
1 Dr. Birdley Teaches Science! Forces and Motion Featuring the Comic Strip Middle and High School Innovative Resources for the Science Classroom Written and Illustrated by Nevin Katz Incentive Publications, Inc. Nashville, Tennessee
2 Table of Contents Contents Objectives and Frameworks...2 Teacher s Guide...5 Unit 1: Speed, Distance, and Time...11 Unit 2: Velocity...19 Unit 3: Acceleration...29 Unit 4: Newton s Law of Gravitation...39 Unit 5: Newton s Laws of Motion...49 Unit 6: Force, Mass, and Acceleration...59 Unit 7: Motion in Two Dimensions...69 Unit 8: Disrupted Inertia...79 Answer Key
3 Unit 1: Speed, Distance, and Time Contents Source Cartoon: Speed on a Graph 12 Cartoon Profile 13 Background 14 Study Questions 15 Visual Exercise 16 Vocabulary Build-up 17 Quiz 18 11
4 distance (km) Copyright 2008 by Incentive Publications, Inc., Nashville, TN Copyright 2007 by Nevin Katz time (minutes) 12
5 SPEED ON A GRAPH Distance, Time, Speed Objectives 1. To define speed as the amount of distance an object travels over time 2. To show how speed is represented as the slope of a line on a distance-time graph 3. To illustrate how distance-time graphs indicate speed, as well as changes in speed Synopsis Owelle and Phyll begin by explaining the definition of speed. They compare the speeds of two model cars using a distance-time graph. In the next scene, Dr. Birdley is jogging, while Clarissa is rollerblading. Owelle then presents a distance-time graph that illustrates changes in their speed during the workout. Main Ideas 1. Speed is the amount of distance an object travels over time 2. On a distance-time graph, the speed of an object is represented by the steepness of the slope. 3. Gradual slopes indicate low speed. 4. Steep slopes indicate high speed. 5. A flat line on a distance-time graph indicates a speed of zero. Vocabulary distance time speed y-axis x-axis slope Characters Dean Owelle, Phyll, Dr. Birdley, Clarissa Teacher s Notes Help students make the connection between the panels on Clarissa s movement and the graph. The lines on the graph are in sync with the panels. A problem-solving strategy for calculating slope is featured in the background section. 13 Questions for Discussion Before Reading: 1. How do you define speed? 2. What units are used to measure distance? Time? 3. What different types of graphs might be used to show data? After Reading: 1. How does Dean Owelle define speed? 2. What is a slope? 3. Look at the panel where Clarissa speeds up. What do you notice about the slope of her line in the graph at that point?
6 SPEED, DISTANCE, AND TIME NAME: CLASS: DATE: BACKGROUND: SOLVING FOR SPEED The following procedure can be used to find the speed of a moving object. A train travels a distance (d) of 500 meters in a time (t) of 50 seconds. What is the speed (s)? 1. Write out the formula you are using. s = d / t. 2. Write down all your known quantities. d = 500 m t = 50 s. 3. Substitute these quantities into the equation. 4. Solve. s = 500 m / 50s s = 10 m/s Directions: Solve the following problem to the best of your ability. A dinosaur walks 600 meters in 30 seconds. What is its speed? FINDING THE SLOPE OF A LINE You can also find speed by finding the slope of a line on a graph. Here is how you do it: Pick two points with coordinates (x 1, y 1 ) and (x 2, y 2 ) For example, points (2, 4) and (4, 8) on the graph to the right. Then, plug the coordinates into the equation below; slope (m) = rise = (y 2-y 1 ) = (8-4) 4 = run (x 2 -x 1 ) (4-2) 2 = 2 meters/second This method works for any other two points on this graph. Distance (meters) Distance-Time Graph (4, 8) (2, 4) Time (seconds) Copyright 2008 by Incentive Publications, Inc., Nashville, TN 14
7 SPEED ON A GRAPH NAME: CLASS: DATE: STUDY QUESTIONS Directions: Answer the following questions to the best of your ability. 1. Look at the second panel in Speed on a Graph. How does the graph tell you that car B is moving faster than car A? 2. According to the graph in the last panel, what is Owen s speed (in meters per minute) over the first 15 minutes? How far does he travel? 3. According to the graph, what is Clarissa s speed (in meters per minute) between 15 and 25 minutes? 4. Do Owen and Clarissa reach their starting point at 50 minutes? How do you know? 5. Owelle and Birdley run a road race, and their performance is recorded on a distance-time graph. The slope of Birdley s line is steeper than Owelle s. What does this mean? Copyright 2008 by Incentive Publications, Inc., Nashville, TN 15
Algebra I Notes Slope Unit 04a
OBJECTIVE: F.IF.B.6 Interpret functions that arise in applications in terms of the context. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over
More informationMotion Graphs. Plotting position against time can tell you a lot about motion. Let's look at the axes:
Motion Graphs 1 Name Motion Graphs Describing the motion of an object is occasionally hard to do with words. Sometimes graphs help make motion easier to picture, and therefore understand. Remember: Motion
More informationDISTANCE-TIME GRAPHS Plotting distance against time can tell you a lot about motion. Let's look at the axes:
Motion Graphs Notes Describing the motion of an object is occasionally hard to do with words. Sometimes help make motion easier to picture, and therefore understand. Remember: Motion. Speed. Velocity.
More informationMotion Graphs. Plotting distance against time can tell you a lot about motion. Let's look at the axes:
Motion Graphs 1 _ Motion Graphs Describing the motion of an object is occasionally hard to do with words. Sometimes graphs help make motion easier to picture, and therefore understand. Remember: Motion
More informationName Period Date LINEAR FUNCTIONS STUDENT PACKET 2: MULTIPLE REPRESENTATIONS 2
Name Period Date LINEAR FUNCTIONS STUDENT PACKET 2: MULTIPLE REPRESENTATIONS 2 LF2.1 LF2.2 LF2.3 Growing Shapes Use variables, parentheses, and exponents in expressions. Use formulas to find perimeter
More informationGraphing with Microsoft Excel
Graphing with Microsoft Excel As an AP Physics 1 student, you must be prepared to interpret and construct relationships found in physical laws and experimental data. This exercise is meant to familiarize
More informationGRAPH MATCHING EQUIPMENT/MATERIALS
GRAPH MATCHING LAB MECH 6.COMP. From Physics with Computers, Vernier Software & Technology, 2000. Mathematics Teacher, September, 1994. INTRODUCTION One of the most effective methods of describing motion
More informationPosition vs Time Graphs *
OpenStax-CNX module: m54110 1 Position vs Time Graphs * OpenStax HS Physics This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 4.0 1 : By the end of this
More informationMoving Man Activity for Algebra/Pre-Calculus Students By Andrzej Sokolowski
Moving Man Activity for Algebra/Pre-Calculus Students By Andrzej Sokolowski Purpose: In this computer based activity, you will practice sketching position, velocity and acceleration time graphs and generating
More informationGraph Matching. walk back and forth in front of Motion Detector
Graph Matching Experiment 1 One of the most effective methods of describing motion is to plot graphs of distance, velocity, and acceleration vs. time. From such a graphical representation, it is possible
More informationExploring Slope. We use the letter m to represent slope. It is the ratio of the rise to the run.
Math 7 Exploring Slope Slope measures the steepness of a line. If you take any two points on a line, the change in y (vertical change) is called the rise and the change in x (horizontal change) is called
More informationDisplacement-time and Velocity-time Graphs
PhysicsFactsheet April Number Displacement- and Velocity- Graphs This Factsheet explains how motion can be described using graphs, in particular how - graphs and - graphs can be used. Displacement- graphs
More informationVisualized Problems in the Teaching Topic "Derivative of a Function"
Non-Standard Forms of Teaching Mathematics and Physics: Experimental and Modeling Approach IPA HU-SRB/1203/221/024 Visualized Problems in the Teaching Topic "Derivative of a Function" Valentina Kostić,
More informationKinematics Review. Physics 2012
Kinematics Review Physics 2012 Question 1 Mom and Junior are driving north in a car. They pass Spike who is standing on the side of the road. Which of these statements are correct? 1. Spike sees mom and
More informationExploring Change and Representations of Change: Calculus Concept Connection i
Exploring Change and Representations of Change: Calculus Concept Connection i Grade Level and Content: Pre-algebra, 7 th or 8 th Grade Mathematics Big Idea: Students explore the concept of change and how
More informationAlgebra Unit 2: Linear Functions Notes. Slope Notes. 4 Types of Slope. Slope from a Formula
Undefined Slope Notes Types of Slope Zero Slope Slope can be described in several ways: Steepness of a line Rate of change rate of increase or decrease Rise Run Change (difference) in y over change (difference)
More informationAlgebra I Notes Graphs of Functions OBJECTIVES: F.IF.A.1 Understand the concept of a function and use function notation. F.IF.A.2.
OBJECTIVES: F.IF.A.1 Understand the concept of a function and use function notation. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element
More informationLesson 17: Graphing Quadratic Functions from the Standard Form,
: Graphing Quadratic Functions from the Standard Form, Student Outcomes Students graph a variety of quadratic functions using the form 2 (standard form). Students analyze and draw conclusions about contextual
More informationInstructional Materials for the WCSD Math Common Finals
2014-2015 Algebra 1 Semester 1 Instructional Materials for the WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Math Common Final blueprint for
More information3-6 Lines in the Coordinate Plane
3-6 Lines in the Coordinate Plane Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Substitute the given values of m, x, and y into the equation y = mx + b and solve for b. 1. m = 2, x = 3, and
More informationUNIT 4 NOTES. 4-1 and 4-2 Coordinate Plane
UNIT 4 NOTES 4-1 and 4-2 Coordinate Plane y Ordered pairs on a graph have several names. (X coordinate, Y coordinate) (Domain, Range) (Input,Output) Plot these points and label them: a. (3,-4) b. (-5,2)
More informationUNIT 4 DESCRIPTIVE STATISTICS Lesson 2: Working with Two Categorical and Quantitative Variables Instruction
Prerequisite Skills This lesson requires the use of the following skills: plotting points on the coordinate plane, given data in a table plotting the graph of a linear function, given an equation plotting
More informationName: Unit 3 Beaumont Middle School 8th Grade, Introduction to Algebra
Unit 3 Beaumont Middle School 8th Grade, 2016-2017 Introduction to Algebra Name: I can identify a function, the domain and range. I can identify a linear relationship from a situation, table, graph and
More informationHow do you roll? Fig. 1 - Capstone screen showing graph areas and menus
How do you roll? Purpose: Observe and compare the motion of a cart rolling down hill versus a cart rolling up hill. Develop a mathematical model of the position versus time and velocity versus time for
More informationGraph Matching OBJECTIVES MATERIALS. Lab Activity #3(50 pts)
Name Physics Period Partners: Date Lab Activity #3(50 pts) Mrs. Nadworny Due Date Graph Matching One of the most effective methods of describing motion is to plot graphs of distance, velocity, and acceleration
More informationTeaneck High School Algebra II Summer Assignment
Teaneck High School Algebra II Summer Assignment Dear Parents and Students: This summer assignment must be completed prior to entering Algebra II in September of 2016-2017 school year. The packet includes
More informationPre-Algebra Class 9 - Graphing
Pre-Algebra Class 9 - Graphing Contents In this lecture we are going to learn about the rectangular coordinate system and how to use graphs to pictorially represent equations and trends. 1 Rectangular
More informationDistance. Dollars. Reviewing gradient
Gradient The gradient of a line is its slope. It is a very important feature of a line because it tells you how fast things are changing. Look at the graphs below to find the meaning of gradient in two
More informationF8-18 Finding the y-intercept from Ordered Pairs
F8-8 Finding the -intercept from Ordered Pairs Pages 5 Standards: 8.F.A., 8.F.B. Goals: Students will find the -intercept of a line from a set of ordered pairs. Prior Knowledge Required: Can add, subtract,
More informationAlgebra I Notes Linear Functions & Inequalities Part I Unit 5 UNIT 5 LINEAR FUNCTIONS AND LINEAR INEQUALITIES IN TWO VARIABLES
UNIT LINEAR FUNCTIONS AND LINEAR INEQUALITIES IN TWO VARIABLES PREREQUISITE SKILLS: students must know how to graph points on the coordinate plane students must understand ratios, rates and unit rate VOCABULARY:
More information1.4. Comparing Graphs of Linear Motion. Acceleration Time Graphs
Comparing Graphs of Linear Motion Cheetahs are adapted for speed they are the fastest land animals. They can accelerate at faster rates than most sports cars (Figure 1). Cheetahs have been measured accelerating
More information6.7. Graph Linear Inequalities in Two Variables. Warm Up Lesson Presentation Lesson Quiz
6.7 Graph Linear Inequalities in Two Variables Warm Up Lesson Presentation Lesson Quiz 6.7 Warm-Up Tell whether the ordered pair is a solution of the equation. 1. x + 2y = 4; (2, 1) no 2. 4x + 3y = 22;
More informationName: Beaumont Middle School 8th Grade, Advanced Algebra I Topic 3a
Beaumont Middle School 8th Grade, 2018-2019 Advanced Algebra I Topic 3a Name: I can model a life situation with a graph. I can distinguish between a function and a relation. I can represent ordered pairs
More informationName: Hour: Algebra. Unit 2. Booklet
Name: Hour: Algebra Unit 2 Booklet Finding Slope on a Graph 1 2 3 4 Finding Slope from points 1 2 3 4 1 VERTICAL LINE Equation: Slope: Horizontal and Vertical Lines Equation: Slope: HORIZONTAL LINE 2 Forms
More informationRECTILINEAR MOVEMENT
RECTILINEAR MOVEMENT This teaching unit continues the study of movement which we began in these two previous units: Moving bodies and Trajectory and Displacement In this one we look separately at Uniform
More informationThis unit will help you to describe and use graphs correctly.
Get started 6 Graph skills This unit will help you to describe and use graphs correctly. An important part of physics is describing the patterns we see in our observations about the universe. Graphs help
More informationGraph Matching. LabQuest App OBJECTIVES MATERIALS
Graph Matching LabQuest 1 One of the most effective methods of describing motion is to plot graphs of position, velocity, and acceleration vs. time. From such a graphical representation, it is possible
More informationChapter 23. Linear Motion Motion of a Bug
Chapter 23 Linear Motion The simplest example of a parametrized curve arises when studying the motion of an object along a straight line in the plane We will start by studying this kind of motion when
More informationPoint-Slope Form of an Equation
Name: Date: Page 1 of 9 Point-Slope Form of an Equation 1. Graph the equation = + 4 b starting at (0,4) and moving to another point on the line using the slope. 2. Now draw another graph of = + 4. This
More informationLab 1- Introduction to Motion
Partner : Purpose Partner 2: Lab - Section: The purpose of this lab is to learn via a motion detector the relationship between position and velocity. Remember that this device measures the position of
More informationSlide 1 / 220. Linear Relations and Functions
Slide 1 / 220 Linear Relations and Functions Slide 2 / 220 Table of Contents Domain and Range Discrete v Continuous Relations and Functions Function Notation Linear Equations Graphing a Linear Equation
More informationGalileo s Investigation
Galileo s Investigation Investigating Angle of Incline Teacher s Guide The activity worksheets 1 Teachers Guide to Galileo s Experiment Check the car s bluetooth dongle is inserted in the PC/laptop and
More informationProportional Relationships: Connections
Proportional Relationships: Connections Henri Picciotto A set of activities using multiple mathematical tools (and some real world applications) to help middle school students make connections between
More informationMath Learning Center Boise State 2010, Quadratic Modeling STEM 10
Quadratic Modeling STEM 10 Today we are going to put together an understanding of the two physics equations we have been using. Distance: Height : Recall the variables: o acceleration o gravitation force
More informationStudent Exploration: Quadratics in Polynomial Form
Name: Date: Student Exploration: Quadratics in Polynomial Form Vocabulary: axis of symmetry, parabola, quadratic function, vertex of a parabola Prior Knowledge Questions (Do these BEFORE using the Gizmo.)
More informationGraphing Linear Equations
Graphing Linear Equations Question 1: What is a rectangular coordinate system? Answer 1: The rectangular coordinate system is used to graph points and equations. To create the rectangular coordinate system,
More informationCoordinate Graphing Quadrants and Reading Ordered Pairs. TeacherTwins 2015
Coordinate Graphing Quadrants and Reading Ordered Pairs TeacherTwins 2015 Warm Up Graph the integers on a number line. 1. 2. 3. 4. 5. -5, - 2, 5, 2 0, -3, 7, -2-4, 1, -6, 8-1, 4, -7, 0 6, -8, 5, -4 Warm
More informationThe Algebra Standard of Principles and Standards
ACTIVITIES for students Marlena Herman Introducing Parametric Equations through Graphing Calculator Explorations The Algebra Standard of Principles and Standards for School Mathematics (NCTM 2000) suggests
More informationRoger Ranger and Leo Lion
Concepts Slope and point-slope form of a line Distance between two points D = r*t Parametric equations Graphical interpretation Roger Ranger and Leo Lion Materials Student activity sheet Roger Ranger and
More information2 Ranking Task: complete this section and submit it to your instructor before you begin the lab.
Experiment 2 Ranking Task: complete this section and submit it to your instructor before you begin the lab. The position vs. time graph below was made by a moving object. During certain times, the object
More informationUNIT 3B CREATING AND GRAPHING EQUATIONS Lesson 4: Solving Systems of Equations Instruction
Prerequisite Skills This lesson requires the use of the following skills: graphing multiple equations on a graphing calculator graphing quadratic equations graphing linear equations Introduction A system
More informationDLA Review Printable Version
1. In the equation y = 7x + 3, as the value of x decreases by 1, what happens to the value of y?. A cell phone company charges $.00 a month plus an additional $0.10 per call. A competitor charges $10.00
More informationIntro. To Graphing Linear Equations
Intro. To Graphing Linear Equations The Coordinate Plane A. The coordinate plane has 4 quadrants. B. Each point in the coordinate plain has an x-coordinate (the abscissa) and a y-coordinate (the ordinate).
More informationBell Ringer Write each phrase as a mathematical expression. Thinking with Mathematical Models
Bell Ringer Write each phrase as a mathematical expression. 1. the sum of nine and eight 2. the sum of nine and a number 3. nine increased by a number x 4. fourteen decreased by a number p 5. the product
More informationFig [1] Fig v =...[4]
1 (a) (i) On Fig. 3.1, draw a graph of extension against load for a spring which obeys Hooke s law. [1] extension load Fig. 3.1 (ii) State the word used to describe the energy stored in a spring that has
More informationACTIVITY FIVE-A NEWTON S SECOND LAW: THE ATWOOD MACHINE
1 ACTIVITY FIVE-A NEWTON S SECOND LAW: THE ATWOOD MACHINE PURPOSE For this experiment, the Motion Visualizer (MV) is used to capture the motion of two masses which are suspended above the ground and connected
More informationLecture 4. If P1(x1,y1) and P2(x2,y2) are points on a non-vertical line, then the slope m of the line is defined by
Lines Lecture 4 In this section we shall discuss ways to measure the "steepness" or "slope" of a line in the plane. The ideas we develop here will be important when we discuss equations and graphs of straight
More informationLAB 02: Graph Matching
LAB 02: Graph Matching One of the most effective methods of describing motion is to plot graphs of position/displacement, velocity, and acceleration vs. time. From such a graphical representation, it is
More informationBall Toss. Data Pro program. 2. Make a sketch of your prediction for the velocity vs. time graph. Describe in words what this graph means.
Ball Toss Experiment 34 When a juggler tosses a ball straight upward, the ball slows down until it reaches the top of its path. The ball then speeds up on its way back down. A graph of its velocity vs.
More informationStudents interpret the meaning of the point of intersection of two graphs and use analytic tools to find its coordinates.
Student Outcomes Students interpret the meaning of the point of intersection of two graphs and use analytic tools to find its coordinates. Classwork Example 1 (7 minutes) Have students read the situation
More informationIn math, the rate of change is called the slope and is often described by the ratio rise
Chapter 3 Equations of Lines Sec. Slope The idea of slope is used quite often in our lives, however outside of school, it goes by different names. People involved in home construction might talk about
More informationHere He Comes. C. You should note three buttons: "Run", "Erase Track", and "Reset". There is also a meter that shows the time elapsed.
Physics S432 Motion Graphing Inquiry Here He Comes Introduction You have already seen how computers can collect data from the real world using detection equipment. Now you will see another way that the
More informationCHAPTER 3: REPRESENTATIONS OF A LINE (4 WEEKS)...
Table of Contents CHAPTER 3: REPRESENTATIONS OF A LINE (4 WEEKS)... 1 SECTION 3.1: REPRESENT LINEAR PATTERNS AND CONTEXTS... 4 3.1a Class Activity: Connect the Rule to the Pattern... 5 3.1a Homework: Connect
More informationON THE VELOCITY OF A WEIGHTED CYLINDER DOWN AN INCLINED PLANE
ON THE VELOCITY OF A WEIGHTED CYLINDER DOWN AN INCLINED PLANE Raghav Grover and Aneesh Agarwal RG (Grade 12 High School), AA (Grade 11 High School) Department of Physics, The Doon School, Dehradun. raghav.503.2019@doonschool.com,
More informationPreview. Two-Dimensional Motion and Vectors Section 1. Section 1 Introduction to Vectors. Section 2 Vector Operations. Section 3 Projectile Motion
Two-Dimensional Motion and Vectors Section 1 Preview Section 1 Introduction to Vectors Section 2 Vector Operations Section 3 Projectile Motion Section 4 Relative Motion Two-Dimensional Motion and Vectors
More informationName Period. (b) Now measure the distances from each student to the starting point. Write those 3 distances here. (diagonal part) R measured =
Lesson 5: Vectors and Projectile Motion Name Period 5.1 Introduction: Vectors vs. Scalars (a) Read page 69 of the supplemental Conceptual Physics text. Name at least 3 vector quantities and at least 3
More informationKeep On Truckin. by Nathan Cotten. Physical Science, Science as Inquiry. Grade Level. Louisiana Curriculum Framework Content Strand:
Keep On Truckin by Nathan Cotten Louisiana Curriculum Framework Content Strand: Physical Science, Science as Inquiry Grade Level 9 Objectives: The students will be able to: use a TI 83+ Graphing Calculator,
More informationExample: Modeling a Cruise Control System in Simulink
Example: Modeling a Cruise Control System in Simulink Physical setup and system equations Building the model Open-loop response Extracting the Model Implementing PI control Closed-loop response Physical
More informationVelocity: A Bat s Eye View of Velocity
Name School Date Purpose Velocity: A Bat s Eye View of Velocity There are a number of ways of representing motion that we ll find useful. Graphing position, velocity, and acceleration vs. time is often
More informationFOA/Algebra 1. Unit 2B Review - Linear Functions
FOA/Algebra Unit B Review Name: Date: Block: Unit B Review - Linear Functions What you need to know & be able to do. Determine if a relation is a Things to remember Every input only has one output (each
More informationCopy COMAP Inc. Not for Resale
Examination Copy COMAP Inc. Not for Resale CHAPTER 4 Animation/ Special Effects LESSON ONE Get Moving LESSON TWO Get to the Point LESSON THREE Escalating Motion LESSON FOUR Calculator Animation LESSON
More informationPhysics. Bending Light ID: 8878
Bending Light ID: 8878 By Peter Fox Time required 45 minutes Activity Overview In this activity, students explore the refraction of a single light ray. They begin by exploring light traveling from a less
More informationAlgebra I Notes Linear Equations and Inequalities in Two Variables Unit 04c
Big Idea: Describe the similarities and differences between equations and inequalities including solutions and graphs. Skill: graph linear equations and find possible solutions to those equations using
More informationMotion I. Goals and Introduction
Motion I Goals and Introduction As you have probably already seen in lecture or homework, it is important to develop a strong understanding of how to model an object s motion for success in this course.
More information2. If triangle ABC is translated 2 units right and 3 units up, what are the coordinates of C'?
Accelerated Algebra 1/Geometry A Summer Work Name: Please complete each of the following questions. You may use a calculator but you should show all steps to problem solving. You will turn this in to Ms.
More informationPROJECTILE MOTION PURPOSE
PURPOSE The purpose of this experiment is to study the motion of an object in two dimensions. The motion of the projectile is analyzed using Newton's laws of motion. During the motion of the projectile,
More informationChapter 3: Systems of Linear Equations
Chapter 3: Systems of Linear Equations I. Introduction to Linear Systems II. Algebraic Methods to Solve Systems III. Solving Applications IV. Systems of Linear Inequalities V. Linear Programing 1 I. Introduction
More informationAdaptive Cruise Control
Teacher Notes & Answers 7 8 9 10 11 12 TI-Nspire Investigation Student 50 min Introduction Basic cruise control is where the car s computer automatically adjusts the throttle so that the car maintains
More informationName Class Date. Using Graphs to Relate Two Quantities
4-1 Reteaching Using Graphs to Relate Two Quantities An important life skill is to be able to a read graph. When looking at a graph, you should check the title, the labels on the axes, and the general
More informationPrecalculus 2 Section 10.6 Parametric Equations
Precalculus 2 Section 10.6 Parametric Equations Parametric Equations Write parametric equations. Graph parametric equations. Determine an equivalent rectangular equation for parametric equations. Determine
More informationMATH 021 UNIT 2 HOMEWORK ASSIGNMENTS
MATH 021 UNIT 2 HOMEWORK ASSIGNMENTS General Instructions You will notice that most of the homework assignments for a section have more than one part. Usually, the part (A) questions ask for explanations,
More information3.5 Day 1 Warm Up. Graph each line. 3.4 Proofs with Perpendicular Lines
3.5 Day 1 Warm Up Graph each line. 1. y = 4x 2. y = 3x + 2 3. y = x 3 4. y = 4 x + 3 3 November 2, 2015 3.4 Proofs with Perpendicular Lines Geometry 3.5 Equations of Parallel and Perpendicular Lines Day
More informationMath-2. Lesson 3-1. Equations of Lines
Math-2 Lesson 3-1 Equations of Lines How can an equation make a line? y = x + 1 x -4-3 -2-1 0 1 2 3 Fill in the rest of the table rule x + 1 f(x) -4 + 1-3 -3 + 1-2 -2 + 1-1 -1 + 1 0 0 + 1 1 1 + 1 2 2 +
More informationConnecticut Common Core Algebra 1 Curriculum. Professional Development Materials. Unit 4 Linear Functions
Connecticut Common Core Algebra Curriculum Professional Development Materials Unit 4 Linear Functions Contents Activit 4.. What Makes a Function Linear? Activit 4.3. What is Slope? Activit 4.3. Horizontal
More informationSec 4.1 Coordinates and Scatter Plots. Coordinate Plane: Formed by two real number lines that intersect at a right angle.
Algebra I Chapter 4 Notes Name Sec 4.1 Coordinates and Scatter Plots Coordinate Plane: Formed by two real number lines that intersect at a right angle. X-axis: The horizontal axis Y-axis: The vertical
More informationMultiplying and Dividing Rational Expressions
COMMON CORE Locker LESSON 9. Multiplying and Dividing Rational Expressions Name Class Date 9. Multiplying and Dividing Rational Expressions Essential Question: How can you multiply and divide rational
More informationSNAP Centre Workshop. Graphing Lines
SNAP Centre Workshop Graphing Lines 45 Graphing a Line Using Test Values A simple way to linear equation involves finding test values, plotting the points on a coordinate plane, and connecting the points.
More informationGraphs and Linear Functions
0 Graphs and Linear Functions A -dimensional graph is a visual representation of a relationship between two variables given by an equation or an inequality. Graphs help us solve algebraic problems by analysing
More informationCompetency goals 3 and 5; non-routine problem solving Represent problem situations with geometric models.
Grade: 8 th Date: 7/14/08 Teacher: Mr. Tom Robertson Unit: Mathematics SCOS: Competency goals 3 and 5; non-routine problem solving 3.01 Represent problem situations with geometric models. 5.01 Develop
More informationPR3 & PR4 CBR Activities Using EasyData for CBL/CBR Apps
Summer 2006 I2T2 Process Page 23. PR3 & PR4 CBR Activities Using EasyData for CBL/CBR Apps The TI Exploration Series for CBR or CBL/CBR books, are all written for the old CBL/CBR Application. Now we can
More informationPhysics 2374 Lab 2: Graph Matching
Physics 2374 Lab 2: Graph Matching One of the most effective methods of describing motion is to plot graphs of position, velocity, and acceleration vs. time. From such a graphical representation, it is
More informationIs there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified by Mr.
Common Core Standard: 8.G.3 Is there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified by Mr. Deyo Title: IM8 Ch. 6.1.4 What
More informationGeometry R. Unit 12 Coordinate Geometry. Day Classwork Day Homework Wednesday 3/7 Thursday 3/8 Friday 3/9
Geometry R Unit 12 Coordinate Geometry Day Classwork Day Homework Wednesday 3/7 Thursday 3/8 Friday 3/9 Unit 11 Test Review Equations of Lines 1 HW 12.1 Perimeter and Area of Triangles in the Coordinate
More informationProjectile Motion SECTION 3. Two-Dimensional Motion. Objectives. Use of components avoids vector multiplication.
Projectile Motion Key Term projectile motion Two-Dimensional Motion Previously, we showed how quantities such as displacement and velocity were vectors that could be resolved into components. In this section,
More informationAP Physics 1 and 2 Summer Assignment
AP Physics 1 and 2 Summer Assignment Due: First Day of Class Welcome to AP Physics! You are responsible for the material covered in the first three chapters of your textbook. The questions that follow
More informationLINEAR TOPICS Notes and Homework: DUE ON EXAM
NAME CLASS PERIOD LINEAR TOPICS Notes and Homework: DUE ON EXAM VOCABULARY: Make sure ou know the definitions of the terms listed below. These will be covered on the exam. Axis Scatter plot b Slope Coordinate
More information2.1 Derivatives and Rates of Change
2.1 Derivatives and Rates of Change In this chapter we study a special type of limit, called a derivative, that occurs when we want to find a slope of a tangent line, or a velocity, or any instantaneous
More informationQuadratic Functions CHAPTER. 1.1 Lots and Projectiles Introduction to Quadratic Functions p. 31
CHAPTER Quadratic Functions Arches are used to support the weight of walls and ceilings in buildings. Arches were first used in architecture by the Mesopotamians over 4000 years ago. Later, the Romans
More informationWriting and Graphing Linear Equations. Linear equations can be used to represent relationships.
Writing and Graphing Linear Equations Linear equations can be used to represent relationships. Linear equation An equation whose solutions form a straight line on a coordinate plane. Collinear Points that
More informationSPH3U1 Lesson 05 Kinematics
VECTORS IN TWO-DIMENSIONS LEARNING GOALS Students will Draw vector scale diagrams to visualize and analyze the nature of motion in a plane. Analyze motion by using scale diagrams to add vectors. Solve
More information