Unit 1 Science Models & Graphing
|
|
- Duane Summers
- 5 years ago
- Views:
Transcription
1 Name: Date: 9/18 Period: Unit 1 Science Models & Graphing Essential Questions: What do scientists mean when they talk about models? How can we get equations from graphs? Objectives Explain why models are used in science Describe 3 types of science models Explain the process for how equations come from graphs Practice graphing data using best practices Slide 2 1
2 Newspapers report about scientists making climate models What does that mean? Video: NASA Taking temperature of the Earth Slide 3 Climate is NOT the same as Weather Weather Changes in our atmosphere over short periods of time (e.g., minutes or months) Climate Average weather for a particular region over long period of time (e.g., 30 years) See article on What s the Difference Between Weather and dcli Climate? Slide 4 2
3 Models are useful tools for studying nature The goal of science is to discover the laws of nature, but nature is very complicated. Scientists try to simplify how they study nature. A model is a simpler version of reality: Example: Earth s climate is extremely complex and affected by many factors. If a scientist wants to understand how rising CO 2 levels will affect climate, it is easier to model a smaller part of the Earth system. She may model how higher levels of CO 2 affect plant growth, and then how changes in plant growth affect climate. Slide 5 3 types of scientific models 1. Physical models are smaller and simpler representations of the thing being studied. Example: A globe is a physical model of the Earth. 2. Conceptual models combine ideas into a story or diagram to explain an event. Example: See model of a day after school 3. Mathematical models are equations that include variables to represent an event. Example: Distance Speed Time Note: Climate models do calculations using computers! Slide 6 3
4 Why are models useful? Used to predict results Example 1: If you know Speed and Time, you can calculate the Distance using this equation Distance Speed Time Example 2: Climate models are useful for trying to predict the changes we can expect as our atmosphere gain more CO 2. Climate models (equations) run on computers because there is so much data and many equations! Slide 7 All models have limitations A model may not accurately predict what happens in all situations because Slide 8 4
5 Critical Thinking Question How is this model of motion limited? Why wouldn t it work for all types of motion? Distance Speed Time Slide 9 Process for getting equations from graphs (Math Models) 1 Plot the data on a scatter plot. 2 Draw a best fit line. 3 Find the slope and y-intercept. 4 Plug Y and X variables, slope, and y-intercept into: Y mx b Slide 10 5
6 Skills you need for modeling linear data Graphing Drawing the line of best fit Calculating slope Applying the straight-line formula specific equation for your data Y mx b to get a We will practice and apply these skills this week! Slide 11 4 Graphing Best Practices Graph is 2/3 of page! 1 Heart Rate vs. Exercise Time 1. Title: Use the format Y vs. X. Y is the variable on the Y axis, and X is the variable ibl on the X axis. 2. Label the scale on X and Y axes: Find minimum and maximum X and Y values to make sure all data fits on the graph Each box must be 1, 2, or 5, or multiples 10 of 1, 2, or 5. 3 Heart Rate (be eat/min) 2 Ignore best fit line for now Exercise Time (hr/week) 4 3. Y axis label and units: Show the name of the dependent variable (Y) and its units next to the vertical axis. Units are in parentheses. 4. X axis label and units: Show the name of the independent variable (X) and its units below the horizontal axis. Units are in parentheses. Slide 12 6
Unit 1 Linear Models. Answer. Question. Model. Question. Answer. 3 Types of Models. Model: A simplified version of reality
Model: A simplified version of reality Model Example: Free Fall is a model of falling objects that ignores air resistance. Free Fall assumes that only gravity affects falling motion. Real fall in an atmosphere
More informationExperimental Design and Graphical Analysis of Data
Experimental Design and Graphical Analysis of Data A. Designing a controlled experiment When scientists set up experiments they often attempt to determine how a given variable affects another variable.
More informationCharacteristics of Linear Functions (pp. 1 of 8)
Characteristics of Linear Functions (pp. 1 of 8) Algebra 2 Parent Function Table Linear Parent Function: x y y = Domain: Range: What patterns do you observe in the table and graph of the linear parent
More informationSect The Slope-Intercept Form
0 Concepts # and # Sect. - The Slope-Intercept Form Slope-Intercept Form of a line Recall the following definition from the beginning of the chapter: Let a, b, and c be real numbers where a and b are not
More informationGUIDED NOTES 4.1 LINEAR FUNCTIONS
GUIDED NOTES 4.1 LINEAR FUNCTIONS LEARNING OBJECTIVES In this section, you will: Represent a linear function. Determine whether a linear function is increasing, decreasing, or constant. Interpret slope
More informationMath M111: Lecture Notes For Chapter 3
Section 3.1: Math M111: Lecture Notes For Chapter 3 Note: Make sure you already printed the graphing papers Plotting Points, Quadrant s signs, x-intercepts and y-intercepts Example 1: Plot the following
More informationIntroduction to Science. Chapter 1. Section 1 The Nature of Science. Section 2 The Way Science Works. Section 3 Organizing Data
Chapter 1 Introduction to Science Section 1 The Nature of Science Section 2 The Way Science Works Section 3 Organizing Data Skills Experiment Design SI Units and SI unit conversions Using graphs Scientific
More information3.3 Linear Equations in Standard Form
3.3 Linear Equations in Standard Form Learning Objectives Write equivalent equations in standard form. Find the slope and y intercept from an equation in standard form. Write equations in standard form
More informationLesson 3-1: Solving Linear Systems by Graphing
For the past several weeks we ve been working with linear equations. We ve learned how to graph them and the three main forms they can take. Today we re going to begin considering what happens when we
More informationUsing Linear Equations to Solve Problems
Chapter 5: Writing Linear Equations Sections 1-4 Name Algebra Notes Using Linear Equations to Solve Problems Slope-Intercept Point Slope Standard Form y = mx + b y- y 1 = m ( x = x 1 ) Ax + By = C So,
More informationALGEBRA 2 Summer Review Assignments Graphing
ALGEBRA 2 Summer Review Assignments Graphing To be prepared for algebra two, and all subsequent math courses, you need to be able to accurately and efficiently find the slope of any line, be able to write
More informationGraphs. 1. Graph paper 2. Ruler
Graphs Objective The purpose of this activity is to learn and develop some of the necessary techniques to graphically analyze data and extract relevant relationships between independent and dependent phenomena,
More informationReteach 2-3. Graphing Linear Functions. 22 Holt Algebra 2. Name Date Class
-3 Graphing Linear Functions Use intercepts to sketch the graph of the function 3x 6y 1. The x-intercept is where the graph crosses the x-axis. To find the x-intercept, set y 0 and solve for x. 3x 6y 1
More informationBIOSTATISTICS NURS 3324
Simple Linear Regression and Correlation Introduction Previously, our attention has been focused on one variable which we designated by x. Frequently, it is desirable to learn something about the relationship
More informationWhen they compared their results, they had an interesting discussion:
27 2.5 Making My Point A Solidify Understanding Task Zac and Sione were working on predicting the number of quilt blocks in this pattern: CC BY Camille King https://flic.kr/p/hrfp When they compared their
More informationApproximations - the method of least squares (1)
Approximations - the method of least squares () In many applications, we have to consider the following problem: Suppose that for some y, the equation Ax = y has no solutions It could be that this is an
More informationChapter 1 Homework Problems
Chapter 1 Homework Problems Lesson 1.1.1 1-4. Angelica is working with function machines. She has the two machines shown at right. She wants to put them in order so that the output of the first machine
More informationPHYSICS LAB: CONSTANT MOTION
PHYSICS LAB: CONSTANT MOTION Introduction Experimentation is fundamental to physics (and all science, for that matter) because it allows us to prove or disprove our hypotheses about how the physical world
More informationTEST 150 points
Math 130 Spring 008 Name: TEST #1 @ 150 points Write neatly. Show all work. Write all responses on separate paper. Clearly label the exercises. 1. A piecewise-defined function is given. 1- x if x< f (
More informationMath 1010 Lesson 1-4 (Textbook 1.7 and 1.8) Different equations of Lines
Math 00 Lesson -4 (Textbook.7 and.8) Different equations of Lines. slope intercept form = mx + b. standard form Ax + B = C m x x 3. point slope form ( ) Which one we use depends on what information is
More informationStudy Unit 2 : Linear functions Chapter 2 : Sections and 2.6
1 Study Unit 2 : Linear functions Chapter 2 : Sections 2.1 2.4 and 2.6 1. Function Humans = relationships Function = mathematical form of a relationship Temperature and number of ice cream sold Independent
More informationGraphing Skill #1: What Type of Graph is it? There are several types of graphs that scientists often use to display data.
Graphing Skill #1: What Type of Graph is it? There are several types of graphs that scientists often use to display data. They include: Pie Graphs Bar Graphs Histograms Line Graphs Scatter Plots Dependent
More information22 Approximations - the method of least squares (1)
22 Approximations - the method of least squares () Suppose that for some y, the equation Ax = y has no solutions It may happpen that this is an important problem and we can t just forget about it If we
More informationMATH HISTORY ACTIVITY
A. Fisher Acf 92 workbook TABLE OF CONTENTS: Math History Activity. p. 2 3 Simplify Expressions with Integers p. 4 Simplify Expressions with Fractions.. p. 5 Simplify Expressions with Decimals.. p. 6 Laws
More informationChapter 1: Climate and the Atmosphere
Chapter 1: Climate and the Atmosphere ECC: 1.2.1 WARM-UP Students complete and discuss their responses to prompts in an Anticipation Guide. (10 min) Anticipation Guide. The expectation is that you will
More informationNorthwood High School Algebra 2/Honors Algebra 2 Summer Review Packet
Northwood High School Algebra 2/Honors Algebra 2 Summer Review Packet This assignment should serve as a review of the Algebra 1 skills necessary for success. Our hope is that this review will keep your
More informationLinear Function. Work through the steps below to create a linear function and use it to predict behavior.
Name Instructor: INSTRUCTIONS: Work these problems in the space provided and turn in these pages along with your solutions to the section review problems. Check your answers using the key provided in the
More informationSOLUTIONS FOR PROBLEMS 1-30
. Answer: 5 Evaluate x x + 9 for x SOLUTIONS FOR PROBLEMS - 0 When substituting x in x be sure to do the exponent before the multiplication by to get (). + 9 5 + When multiplying ( ) so that ( 7) ( ).
More informationChapter 6. Systems of Equations and Inequalities
Chapter 6 Systems of Equations and Inequalities 6.1 Solve Linear Systems by Graphing I can graph and solve systems of linear equations. CC.9-12.A.CED.2, CC.9-12.A.CED.3, CC.9-12.A.REI.6 What is a system
More informationMath 16A Discussion Worksheet January 23, 2018
1 Reminders 1. A quiz will be given every other week starting next week. So a quiz will be given on January 0, February 1, February 27, March 1, March 27, April 10, and April 24. 2. Section Grade (a) Homework
More informationSection 1 The Nature of Science
CHAPTER OUTLINE Section 1 The Nature of Science Key Idea questions > How do scientists explore the world? > How are the many types of science organized? > What are scientific theories, and how are they
More informationMath 2 Variable Manipulation Part 7 Absolute Value & Inequalities
Math 2 Variable Manipulation Part 7 Absolute Value & Inequalities 1 MATH 1 REVIEW SOLVING AN ABSOLUTE VALUE EQUATION Absolute value is a measure of distance; how far a number is from zero. In practice,
More information8th Grade Common Core Math
8th Grade Common Core Math Booklet 5 Functions Part 2 One of the Main Idea of Functions: Use functions to model relationships between quantities What are functions? Functions are like machines. You give
More informationB3 Relating Launch Speed and Range
Key Question: What function relates the range and launch speed of a projectile? In this investigation, students identify the function relating projectile range to launch speed. In doing so, students are
More informationLesson 3-2: Solving Linear Systems Algebraically
Yesterday we took our first look at solving a linear system. We learned that a linear system is two or more linear equations taken at the same time. Their solution is the point that all the lines have
More information2.6 Form Follows Function
2.6 Form Follows Function A Practice Understanding Task In our work so far, we have worked with linear and exponential equations in many forms. Some of the forms of equations and their names are: CC BY
More informationSlide 1. Slide 2. Slide 3. Integrated Rate Laws. What is a rate? A rate as a derivative. Finally a use for calculus! It s a delta/delta!
Slide 1 Integrated Rate Laws Finally a use for calculus! Slide 2 It s a delta/delta! Rate of reaction = What is a rate? In other words, it is a differential. As you MAY recall from calculus, if you take
More informationNegative correlation: Positive correlation: No correlation: Correlations are weak if: Correlations are strong if: A correlation is non-linear if:
5.12 Scatter Plots and Lines Of Best Fit Describing Correlation in Scatter Plot Graphs VVhen describing a relationship, you can assess the correlation (positive, negative, or no-relationship), the strength
More informationRATES OF CHANGE. A violin string vibrates. The rate of vibration can be measured in cycles per second (c/s),;
DISTANCE, TIME, SPEED AND SUCH RATES OF CHANGE Speed is a rate of change. It is a rate of change of distance with time and can be measured in miles per hour (mph), kilometres per hour (km/h), meters per
More informationIn other words, we are interested in what is happening to the y values as we get really large x values and as we get really small x values.
Polynomial functions: End behavior Solutions NAME: In this lab, we are looking at the end behavior of polynomial graphs, i.e. what is happening to the y values at the (left and right) ends of the graph.
More informationMATH 60 Course Notebook Chapter #1
MATH 60 Course Notebook Chapter #1 Integers and Real Numbers Before we start the journey into Algebra, we need to understand more about the numbers and number concepts, which form the foundation of Algebra.
More informationExponential Functions
CONDENSED LESSON 5.1 Exponential Functions In this lesson, you Write a recursive formula to model radioactive decay Find an exponential function that passes through the points of a geometric sequence Learn
More information36-309/749 Math Review 2014
36-309/749 Math Review 2014 The math content of 36-309 is not high. We will use algebra, including logs. We will not use calculus or matrix algebra. This optional handout is intended to help those students
More informationVOTE FOR YOUR FAVORITE SODA BRAND!!
VOTE FOR YOUR FAVORITE SODA BRAND!! NUMBER OF VOTES 1000 995 990 985 980 975 970 965 960 955 950 PEPSI COCA-COLA STORE BRAND FAVORITE SODA NUMBER OF VOTES 1000 900 800 700 600 500 400 300 200 100 0 PEPSI
More informationPerformance Task: Concentration vs. Time
NAME DATE : Concentration vs. Time Goal of task Target concept: Understand reaction rates in both qualitative and quantitative terms For this task you will be evaluated on your ability to: Construct an
More informationMon 3 Nov Tuesday 4 Nov: Quiz 8 ( ) Friday 7 Nov: Exam 2!!! Today: 4.5 Wednesday: REVIEW. In class Covers
Mon 3 Nov 2014 Tuesday 4 Nov: Quiz 8 (4.2-4.4) Friday 7 Nov: Exam 2!!! In class Covers 3.9-4.5 Today: 4.5 Wednesday: REVIEW Linear Approximation and Differentials In section 4.5, you see the pictures on
More informationSTEP 1: Ask Do I know the SLOPE of the line? (Notice how it s needed for both!) YES! NO! But, I have two NO! But, my line is
EQUATIONS OF LINES 1. Writing Equations of Lines There are many ways to define a line, but for today, let s think of a LINE as a collection of points such that the slope between any two of those points
More informationCH 42 TEMPERATURE FORMULAS
CH 42 TEMPERATURE FORMULAS AND MORE 1 Two Temperature Scales O n the Fahrenheit temperature scale, water freezes at 32F and boils at 212F. Later, the Celsius (originally called centigrade) scale was created
More information1. In Activity 1-1, part 3, how do you think graph a will differ from graph b? 3. Draw your graph for Prediction 2-1 below:
PRE-LAB PREPARATION SHEET FOR LAB 1: INTRODUCTION TO MOTION (Due at the beginning of Lab 1) Directions: Read over Lab 1 and then answer the following questions about the procedures. 1. In Activity 1-1,
More informationMINI LESSON. Lesson 2a Linear Functions and Applications
MINI LESSON Lesson 2a Linear Functions and Applications Lesson Objectives: 1. Compute AVERAGE RATE OF CHANGE 2. Explain the meaning of AVERAGE RATE OF CHANGE as it relates to a given situation 3. Interpret
More informationMath 10b Ch. 8 Reading 1: Introduction to Taylor Polynomials
Math 10b Ch. 8 Reading 1: Introduction to Taylor Polynomials Introduction: In applications, it often turns out that one cannot solve the differential equations or antiderivatives that show up in the real
More informationJUST THE MATHS UNIT NUMBER 5.3. GEOMETRY 3 (Straight line laws) A.J.Hobson
JUST THE MATHS UNIT NUMBER 5.3 GEOMETRY 3 (Straight line laws) by A.J.Hobson 5.3.1 Introduction 5.3.2 Laws reducible to linear form 5.3.3 The use of logarithmic graph paper 5.3.4 Exercises 5.3.5 Answers
More informationMerrily we roll along
Merrily we roll along Name Period Date Lab partners Overview Measuring motion of freely falling objects is difficult because they acclerate so fast. The speed increases by 9.8 m/s every second, so Galileo
More informationGeometry Summer Assignment 2018
Geometry Summer Assignment 2018 The following packet contains topics and definitions that you will be required to know in order to succeed in Geometry this year. You are advised to be familiar with each
More informationMathematics Level D: Lesson 2 Representations of a Line
Mathematics Level D: Lesson 2 Representations of a Line Targeted Student Outcomes Students graph a line specified by a linear function. Students graph a line specified by an initial value and rate of change
More informationMath 1 packet for Coordinate Geometry part 1. Reviewing the basics. The coordinate plane
Math 1 packet for Coordinate Geometry part 1 Reviewing the basics The coordinate plane The coordinate plane (also called the Cartesian plane named after French mathematician Rene Descartes, who formalized
More informationSection 1: The Nature of Science
Section 1: The Nature of Science Preview Key Ideas Bellringer How Science Takes Place The Branches of Science Scientific Laws and Theories Key Ideas How do scientists explore the world? How are the many
More informationACCESS TO SCIENCE, ENGINEERING AND AGRICULTURE: MATHEMATICS 1 MATH00030 SEMESTER / Lines and Their Equations
ACCESS TO SCIENCE, ENGINEERING AND AGRICULTURE: MATHEMATICS 1 MATH00030 SEMESTER 1 017/018 DR. ANTHONY BROWN. Lines and Their Equations.1. Slope of a Line and its y-intercept. In Euclidean geometry (where
More information( ) AP Physics 1 Math Review
AP Physics 1 Math Review The exercises below are a review of the prerequisite math skills that you need to succeed in AP Physics 1. Make sure to read all directions throughout the packet. All work must
More informationTwitter: @Owen134866 www.mathsfreeresourcelibrary.com Prior Knowledge Check 1) Find the point of intersection for each pair of lines: a) y = 4x + 7 and 5y = 2x 1 b) y = 5x 1 and 3x + 7y = 11 c) 2x 5y =
More informationLesson 4 Linear Functions and Applications
In this lesson, we take a close look at Linear Functions and how real world situations can be modeled using Linear Functions. We study the relationship between Average Rate of Change and Slope and how
More informationRemember that C is a constant and ë and n are variables. This equation now fits the template of a straight line:
CONVERTING NON-LINEAR GRAPHS INTO LINEAR GRAPHS Linear graphs have several important attributes. First, it is easy to recognize a graph that is linear. It is much more difficult to identify if a curved
More informationRelations and Functions
Algebra 1, Quarter 2, Unit 2.1 Relations and Functions Overview Number of instructional days: 10 (2 assessments) (1 day = 45 60 minutes) Content to be learned Demonstrate conceptual understanding of linear
More informationLinear Regression Linear Least Squares
Linear Regression Linear Least Squares ME 120 Notes Gerald Recktenwald Portland State University Department of Mechanical Engineering gerry@me.pdx.edu ME120: Linear Regression Introduction Introduction
More informationSKILL BUILDER TEN. Graphs of Linear Equations with Two Variables. If x = 2 then y = = = 7 and (2, 7) is a solution.
SKILL BUILDER TEN Graphs of Linear Equations with Two Variables A first degree equation is called a linear equation, since its graph is a straight line. In a linear equation, each term is a constant or
More informationSummer Packet Geometry PAP
Summer Packet Geometry PAP IMPORTANT INSTRUCTIONS FOR STUDENTS!!! We understand that students come to Geometry with different strengths and needs. For this reason, students have options for completing
More informationDescribe the main branches of natural science and relate them to each other. Describe the relationship between science and technology.
Section 1 The Nature of Science Objectives Describe the main branches of natural science and relate them to each other. Describe the relationship between science and technology. Distinguish between scientific
More informationSlope Intercept form. Complete the graph below and write the equation of the line. Then, answer questions a-d.
Chapter 5: Writing Linear Equations Name: Section 5.1: Write Linear Equations in Slope-Intercept Form Slope Intercept form Complete the graph below and write the equation of the line. Then, answer questions
More informationSUMMER MATH PACKET ALGEBRA TWO COURSE 229
SUMMER MATH PACKET ALGEBRA TWO COURSE 9 MATH SUMMER PACKET INSTRUCTIONS MATH SUMMER PACKET INSTRUCTIONS Attached you will find a packet of exciting math problems for your enjoyment over the summer. The
More informationC1: From Weather to Climate Looking at Air Temperature Data
C1: From Weather to Climate Looking at Air Temperature Data Purpose Students will work with short- and longterm air temperature data in order to better understand the differences between weather and climate.
More informationA Cubic Regression Group Activity 4 STEM Project Week #7
A Cubic Regression Group Activity 4 STEM Project Week #7 In the first activity we looked at a set of data that was modeled by a line (a linear regression). In the second and third activities we looked
More informationWriting Linear Equations
Writing Linear Equations The steepness of the line is the ratio of rise to run, or vertical change to horizontal change, for this step. We call this ratio the slope of the line. Slope is also known as
More informationSection 1.6. Functions
Section 1.6 Functions Definitions Relation, Domain, Range, and Function The table describes a relationship between the variables x and y. This relationship is also described graphically. x y 3 2 4 1 5
More informationt s time we revisit our friend, the equation of a line: y = mx + b
CH PARALLEL AND PERPENDICULAR LINES Introduction I t s time we revisit our friend, the equation of a line: mx + b SLOPE -INTERCEPT To be precise, b is not the -intercept; b is the -coordinate of the -intercept.
More informationLinear Equations. Find the domain and the range of the following set. {(4,5), (7,8), (-1,3), (3,3), (2,-3)}
Linear Equations Domain and Range Domain refers to the set of possible values of the x-component of a point in the form (x,y). Range refers to the set of possible values of the y-component of a point in
More informationStudent Instruction Sheet: Unit 2, Lesson 2. Equations of Lines, Part 2
Student Instruction Sheet: Unit 2, Lesson 2 Suggested Time: 50 minutes What s important in this lesson: Equations of Lines, Part 2 In this lesson, you will learn how to write equations of lines, given
More informationLesson 3A: How Fast Are You Moving?
Lesson 3A: How Fast Are You Moving? 3.1 Observe and represent Decide on a starting point. You will need 2 cars (or other moving objects). For each car, you will mark its position at each second. Make sure
More informationUnit 5: Representations of Linear Relations
Time Frame: Approximately 3-5 weeks Connections to Previous Learning: Students build upon previous understandings of linear equations and functions and apply them to various representations of linear relationships,
More informationUNIT 3 Relationships
UNIT 3 Relationships Topics Covered in this Unit Include: Interpreting Graphs, Scatter Plot Graphs, Line of Best Fit, First Differences, Linear and Non-Linear Evaluations Given this Unit (Record Your Marks
More informationPredator-Prey Interactions
ADDITIONAL INVESTIGATION Predator-Prey Interactions Predation is a density-dependent limiting factor it is affected by the number of individuals in a given area. For example, the population of a predator
More informationWelcome to Math Video Lessons. Stanley Ocken. Department of Mathematics The City College of New York Fall 2013
Welcome to Math 19500 Video Lessons Prof. Department of Mathematics The City College of New York Fall 013 An important feature of the following Beamer slide presentations is that you, the reader, move
More informationName Period. Date: have an. Essential Question: Does the function ( ) inverse function? Explain your answer.
Name Period Date: Topic: 10-3 Composition and Inverses of Functions Essential Question: Does the function inverse function? Explain your answer. have an Standard: F-BF.1c Objective: Compose functions.
More informationAlgebra 1 Spencer Unit 4 Notes: Inequalities and Graphing Linear Equations. Unit Calendar
Algebra 1 Spencer Unit 4 Notes: Inequalities and Graphing Linear Equations Unit Calendar Date Topic Homework Nov 5 (A ) 6.1 Solving Linear Inequalities +/- 6.2 Solving Linear Inequalities x/ 6.3 Solving
More information1.1 Linear Equations and Inequalities
1.1 Linear Equations and Inequalities Linear Equation in 1 Variable Any equation that can be written in the following form: ax + b = 0 a,b R, a 0 and x is a variable Any equation has a solution, sometimes
More informationMATH EVALUATION. What will you learn in this Lab?
MATH EVALUATION What will you learn in this Lab? This exercise is designed to assess whether you have been exposed to the mathematical methods and skills necessary to complete the lab exercises you will
More informationUnit 4 Linear Functions
Algebra I: Unit 4 Revised 10/16 Unit 4 Linear Functions Name: 1 P a g e CONTENTS 3.4 Direct Variation 3.5 Arithmetic Sequences 2.3 Consecutive Numbers Unit 4 Assessment #1 (3.4, 3.5, 2.3) 4.1 Graphing
More informationAP Physics 1 Summer Assignment Unit Conversions Review 1.) Finish the SI prefix table below. Follow the example of the centi prefix.
AP Physics 1 Summer Assignment 2018 The exercises below are a review of the prerequisite math skills that you need to succeed in AP Physics 1. Make sure to read all directions throughout the packet. All
More information05 the development of a kinematics problem. February 07, Area under the curve
Area under the curve Area under the curve refers from the region the line (curve) to the x axis 1 2 3 From Graphs to equations Case 1 scatter plot reveals no apparent relationship Types of equations Case
More informationWhen they compared their results, they had an interesting discussion:
27 2.5 Making My Point A Solidify Understanding Task Zac and Sione were working on predicting the number of quilt blocks in this pattern: CC BY Camille King https://flic.kr/p/hrfp When they compared their
More informationUNIT 8: LINEAR FUNCTIONS WEEK 31: Student Packet
Name Period Date UNIT 8: LINEAR FUNCTIONS WEEK 31: Student Packet 31.1 Introduction to Systems of Equations Use variables to write equations and systems of equations. Solve problems involving rate, distance,
More informationMATH 1113 Exam 1 Review
MATH 1113 Exam 1 Review Topics Covered Section 1.1: Rectangular Coordinate System Section 1.3: Functions and Relations Section 1.4: Linear Equations in Two Variables and Linear Functions Section 1.5: Applications
More informationUnit 5: Proportions and Lines. Activities: Resources:
Timeline: 2 nd nine weeks Vocabulary: Slope Formula, Rate of Change, Y Intercept, Slope intercept form, Vertical, Horizontal Linear Function Slope Slope of a Line Unit 5: Proportions and Lines New State
More informationReminder: Univariate Data. Bivariate Data. Example: Puppy Weights. You weigh the pups and get these results: 2.5, 3.5, 3.3, 3.1, 2.6, 3.6, 2.
TP: To review Standard Deviation, Residual Plots, and Correlation Coefficients HW: Do a journal entry on each of the calculator tricks in this lesson. Lesson slides will be posted with notes. Do Now: Write
More informationAlgebra 1 Final Exam Study Guide. Name: Date: Period:
Ms. Angotta Algebra 1 Final Exam Study Guide Name: Date: Period: Topics: Evaluating Expressions Distributive Property Combine Like-Terms Recursive Rule Explicit Rule Independent Variable Dependent Variable
More informationMATH 1130 Exam 1 Review Sheet
MATH 1130 Exam 1 Review Sheet The Cartesian Coordinate Plane The Cartesian Coordinate Plane is a visual representation of the collection of all ordered pairs (x, y) where x and y are real numbers. This
More informationHonors Physics / Unit 01 / CVPM. Name:
Name: Constant Velocity Model The front of each model packet should serve as a storehouse for things you ll want to be able to quickly look up later. We will usually try to give you some direction on a
More informationAverage Rate of Change & Slope of a Line MATH 092
Average Rate of Change Average Rate of Change & Slope of a Line MATH 092 Functions are used to model the way one quantity changes with respect to another quantity. For instance, how does the distance traveled
More informationUncertainty, Error, and Precision in Quantitative Measurements an Introduction 4.4 cm Experimental error
Uncertainty, Error, and Precision in Quantitative Measurements an Introduction Much of the work in any chemistry laboratory involves the measurement of numerical quantities. A quantitative measurement
More informationMath 8 Honors Coordinate Geometry part 1 Unit Updated July 29, 2016
Reviewing the basics The number line A number line is a visual representation of all real numbers. Each of the images below are examples of number lines. The top left one includes only positive whole numbers,
More information1.2 Graphs and Lines. Cartesian Coordinate System
1.2 Graphs and Lines Cartesian Coordinate System Note that there is a one-to-one correspondence between the points in a plane and the elements in the set of all ordered pairs (a, b) of real numbers. Graphs
More information