Making Science Graphs and Interpreting Data
|
|
|
- Cameron Owen
- 5 years ago
- Views:
Transcription
1 Making Science Graphs and Interpreting Data Scientific Graphs: Most scientific graphs are made as line graphs. There may be times when other types would be appropriate, but they are rare. The lines on scientific graphs are usually drawn either straight or curved. These "smoothed" lines do not have to touch all the data points, but they should at least get close to most of them. They are called best-fit lines.
2 How To Construct a Line Graph On Paper Step What To Do How To Do It 1 Identify the variables a. Independent Variable (Controlled by the experimenter) Goes on the X axis (horizontal) b. Dependent Variable (Changes with the independent variable) Goes on the Y axis (vertical) 2 To determine the scale of the graph. a. Determine a scale that fits all the data (The numerical value of each square) b. Spread the graph to use MOST of the available space. c. Each line MUST be of equal value. 3 Number and label each axis. This tells what data the lines on your graph represent. Label both the x and y axis. 4 Plot the data points. a. Plot each data value on the graph with a dot. 5 Draw the graph. a. Draw a curve or a line that best fits the data points. 6 Title the graph. a. Your title should clearly tell what the graph is about. b. If your graph has more than one set of data, provide a "key" to identify the different lines.
3 Practice Interpreting Data: In addition to drawing graphs, it is also important that you be able to interpret data that is represented in graph form. The following examples are provided to help you develop the ability to read information shown on a graph. 1. Identify the graph from above that matches each of the following stories: a. I had just left home when I realized I had forgotten my books so I went back to pick them up. I ate a snack and then continued my journey. b. Things went fine until I had a flat tire. I fixed it and kept going. c. I started out calmly, but sped up when I realized I was going to be late. 2. The graph at the above represents the typical day of a teenager. Answer these questions: a. What percent of the day is spent watching TV? (Hint: The total pie graph is 100%) b. How many hours are spent sleeping? c. What activity takes up the least amount of time? d. What activity takes up a quarter of the day? (Hint: 25%) e. What two activities take up 50% of the day? f. What two activities take up 25% of the day?
4 3. Answer these questions about the graph at the right: a. How many sets of data are represented? b. On approximately what calendar month does the graph begin? c. In what month does the graph reach its highest point? 4. Answer these questions about the graph on the above: a. How many total miles did the car travel? b. What was the average speed of the car for the trip? (Hint: Total Distance / Total Time) c. Describe the motion of the car between hours 5 and 12? d. What is happening between points C and D? e. How many miles were traveled in the first two hours of the trip? f. Between which two points is the fastest speed?
5 5. Answer these questions about the graph above: a. What is the dependent variable on this graph? b. Does the price per bushel always increase with demand? c. What is the demand when the price is $5 per bushel? 6. The bar graph above represents the declared majors of freshman enrolling at a university. Answer the following questions: a. What is the total freshman enrollment of the college? ( + or 50 students) b. Which major has the most students? c. How many students are majoring in Physics? d. How many more students major in Poly Sci than in Psych?
6 7. Answer these questions based on the graph above. a. How much rain fell in Mar of 1989? b. How much more rain fell in Feb of 1990 than in Feb of 1989? c. Which year had the most rainfall? d. What is the wettest month on the graph? GRAPH INSTRUCTIONS (10 points) Pick up a half sheet of graph paper and graph the information on the data table. Be sure to follow the directions! Time (minutes) Temperature (degrees C) DIRECTIONS: 1. Put time on the X axis and temperature on the Y axis (1) 2. Label the axes with what you are measuring and a unit (2) 3. Create an appropriate scale that uses most of the graph paper (2) 4. Plot the 5 points and connect with a line (3) 5. Give the graph an appropriate title (2) PUT YOUR NAME ON YOUR GRAPH AND STAPLE TO THE ANSWER SHEET YOU ARE TURNING IN.
Making Science Graphs and Interpreting Data
6 th In Class Worksheet Name Graph Practice Teacher Due Making Science Graphs and Interpreting Data Scientific Graphs: Most scientific graphs are made as line graphs. There may be times when other types
Making Science Graphs and Interpreting Data
Making Science Graphs and Interpreting Data Eye Opener: 5 mins What do you see? What do you think? Look up terms you don t know What do Graphs Tell You? A graph is a way of expressing a relationship between
Input/Output Machines
UNIT 1 1 STUDENT BOOK / Machines LESSON Quick Review t Home c h o o l This is an / machine It can be used to make a growing pattern Each input is multiplied by 9 to get the output If you input 1, the output
Chapter 12: Quadratic and Cubic Graphs
Chapter 12: Quadratic and Cubic Graphs Section 12.1 Quadratic Graphs x 2 + 2 a 2 + 2a - 6 r r 2 x 2 5x + 8 2y 2 + 9y + 2 All the above equations contain a squared number. They are therefore called quadratic
Processing, representing and interpreting data
Processing, representing and interpreting data 21 CHAPTER 2.1 A head CHAPTER 17 21.1 polygons A diagram can be drawn from grouped discrete data. A diagram looks the same as a bar chart except that the
A Summary of the Types of Graphs Compiled by Mr. A. Caruso
A Summary of the Types of Graphs A graph is a representation of a relationship between variables. A graph usually has two called the -axis (horizontal) and -axis (vertical). The axes are labeled with different
STRAIGHT LINE GRAPHS THE COORDINATES OF A POINT. The coordinates of any point are written as an ordered pair (x, y)
THE COORDINATES OF A POINT STRAIGHT LINE GRAPHS The coordinates of any point are written as an ordered pair (x, y) Point P in the diagram has coordinates (2, 3). Its horizontal distance along the x axis
Microscopic Measurement
Microscopic Measurement Estimating Specimen Size : The area of the slide that you see when you look through a microscope is called the " field of view ". If you know the diameter of your field of view,
Graphing 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
Motion 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
Experimental 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.
boxplot - A graphic way of showing a summary of data using the median, quartiles, and extremes of the data.
Learning Target Create scatterplots and identify whether there is a relationship between two sets of data. Draw a line of best fit and use it to make predictions. Focus Questions How can I organize data?
Math 7 Notes - Unit 4 Pattern & Functions
Math 7 Notes - Unit 4 Pattern & Functions Syllabus Objective: (3.2) The student will create tables, charts, and graphs to extend a pattern in order to describe a linear rule, including integer values.
This 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
Chapter 1 Section 3. Page 22. A graph is a visual display of information or data. There are three types of graphs.
Chapter 1 Section 3 Page 22 A graph is a visual display of information or data. There are three types of graphs. Graphs are pictures that help us understand amounts. These amounts are called data. There
Chapter 2 Organizing and Graphing Data. 2.1 Organizing and Graphing Qualitative Data
Chapter 2 Organizing and Graphing Data 2.1 Organizing and Graphing Qualitative Data 2.2 Organizing and Graphing Quantitative Data 2.3 Stem-and-leaf Displays 2.4 Dotplots 2.1 Organizing and Graphing Qualitative
Lesson 18: There is Only One Line Passing Through a Given Point with a Given
Lesson 18: There is Only One Line Passing Through a Given Point with a Given Student Outcomes Students graph equations in the form of using information about slope and intercept. Students know that if
a 2 + 2a - 6 r r 2 To draw quadratic graphs, we shall be using the method we used for drawing the straight line graphs.
Chapter 12: Section 12.1 Quadratic Graphs x 2 + 2 a 2 + 2a - 6 r r 2 x 2 5x + 8 2 2 + 9 + 2 All the above equations contain a squared number. The are therefore called quadratic expressions or quadratic
ACTIVITY TWO CONSTANT VELOCITY IN TWO DIRECTIONS
1 ACTIVITY TWO CONSTANT VELOCITY IN TWO DIRECTIONS Purpose The overall goal of this activity is for students to analyze the motion of an object moving with constant velocity along a diagonal line. In this
Section 10.4 Normal Distributions
Section 10.4 Normal Distributions Random Variables Suppose a bank is interested in improving its services to customers. The manager decides to begin by finding the amount of time tellers spend on each
RETEACHING: Graphing Skill #1: What Type of Graph is it?
RETEACHING: 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
Decimals should be spoken digit by digit eg 0.34 is Zero (or nought) point three four (NOT thirty four).
Numeracy Essentials Section 1 Number Skills Reading and writing numbers All numbers should be written correctly. Most pupils are able to read, write and say numbers up to a thousand, but often have difficulty
Motion 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
Statistics can best be defined as a collection and analysis of numerical information.
Statistical Graphs There are many ways to organize data pictorially using statistical graphs. There are line graphs, stem and leaf plots, frequency tables, histograms, bar graphs, pictographs, circle graphs
Name: 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
8 Organizing and Displaying
CHAPTER 8 Organizing and Displaying Data for Comparison Chapter Outline 8.1 BASIC GRAPH TYPES 8.2 DOUBLE LINE GRAPHS 8.3 TWO-SIDED STEM-AND-LEAF PLOTS 8.4 DOUBLE BAR GRAPHS 8.5 DOUBLE BOX-AND-WHISKER PLOTS
Round each observation to the nearest tenth of a cent and draw a stem and leaf plot.
Warm Up Round each observation to the nearest tenth of a cent and draw a stem and leaf plot. 1. Constructing Frequency Polygons 2. Create Cumulative Frequency and Cumulative Relative Frequency Tables 3.
Section 4.4: Parabolas
Objective: Graph parabolas using the vertex, x-intercepts, and y-intercept. Just as the graph of a linear equation y mx b can be drawn, the graph of a quadratic equation y ax bx c can be drawn. The graph
Math 1201 Unit 5: Relations & Functions. Ch. 5 Notes
Math 1201 Unit 5: Relations & Functions Read Building On, Big Ideas, and New Vocabulary, p. 254 text. 5.1 Representing Relations (0.5 class) Read Lesson Focus p. 256 text. Outcomes Ch. 5 Notes 1. Define
Chapter 5snow year.notebook March 15, 2018
Chapter 5: Statistical Reasoning Section 5.1 Exploring Data Measures of central tendency (Mean, Median and Mode) attempt to describe a set of data by identifying the central position within a set of data
UNIT 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
Appendix 2: PREPARATION & INTERPRETATION OF GRAPHS
Appendi 2: PREPARATION & INTERPRETATION OF GRAPHS All of you should have had some eperience in plotting graphs. Some of you may have done this in the distant past. Some may have done it only in math courses
Basically, a graph is a representation of the relationship between two or more variables.
1 Drawing Graphs Introduction In recent years, the CSEC Integrated Science Examination, Paper 02, deals with graphical analysis. That is, data is presented in a tabular format and the student is asked
Geometric Sequences 6.7. ACTIVITY: Describing Calculator Patterns. How are geometric sequences used to. describe patterns?
6.7 Geometric Sequences describe patterns? How are geometric sequences used to ACTIVITY: Describing Calculator Patterns Work with a partner. Enter the keystrokes on a calculator and record the results
Organizing and Summarizing Data
1 Organizing and Summarizing Data Key Definitions Frequency Distribution: This lists each category of data and how often they occur. : The percent of observations within the one of the categories. This
Overview for Families
unit: Picturing Numbers Mathematical strand: Data Analysis and Probability The following pages will help you to understand the mathematics that your child is currently studying as well as the type of problems
Unit 2: Linear Functions
Unit 2: Linear Functions 2.1 Functions in General Functions Algebra is the discipline of mathematics that deals with functions. DEF. A function is, essentially, a pattern. This course deals with patterns
Section 3.1 Objective 1: Plot Points in the Rectangular Coordinate System Video Length 12:35
Section 3.1 Video Guide The Rectangular Coordinate System and Equations in Two Variables Objectives: 1. Plot Points in the Rectangular Coordinate System 2. Determine If an Ordered Pair Satisfies an Equation
Motion 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.
2.2 Scientific Notation & Dimensional Analysis. Monday, September 23, 13
2.2 Scientific Notation & Dimensional Analysis Scientific Notation Can be used to express any number as a number between 1 and 10 (coefficient) multiplied by 10 raised to any power (exponent). 36,000 =
Position 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
MATHEMATICS (SYLLABUS D) 4024/02
CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level MATHEMATICS (SYLLABUS D) 4024/02 Paper 2 Additional Materials: Answer Booklet/Paper Electronic calculator Geometrical
Unit 5 Test 2 MCC5.G.1 StudyGuide/Homework Sheet
Unit 5 Test 2 MCC5.G.1 StudyGuide/Homework Sheet Tuesday, February 19, 2013 (Crosswalk Coach Page 221) GETTING THE IDEA! An ordered pair is a pair of numbers used to locate a point on a coordinate plane.
X & Y COORDINATES. Teachers Guide
Teachers Guide Background: One piece of information that is essential to us on a daily basis is our location. We may not realize how often we use this type of information, but a little reflection on your
Jeddah Knowledge International School
Jeddah Knowledge International School Math Revision Pack Answer Key 2015-2016 Quarter 4 Grade 8 Name: Section: Q4 G8 MATH REVISION PACK ANSWER KEY 2015 2016 1 Chapter 5 A, B, C Interpreting graphs and
Warm-Up Exercises. Find the x-intercept and y-intercept 1. 3x 5y = 15 ANSWER 5; y = 2x + 7 ANSWER ; 7
Warm-Up Exercises Find the x-intercept and y-intercept 1. 3x 5y = 15 ANSWER 5; 3 2. y = 2x + 7 7 2 ANSWER ; 7 Chapter 1.1 Graph Quadratic Functions in Standard Form A quadratic function is a function that
3.2 Graphs of Linear Equations
3.2 Graphs of Linear Equations Learning Objectives Graph a linear function using an equation. Write equations and graph horizontal and vertical lines. Analyze graphs of linear functions and read conversion
Probability & Statistics Chapter 6. Normal Distribution
I. Graphs of Normal Probability Distributions Normal Distribution Studied by French mathematician Abraham de Moivre and German mathematician Carl Friedrich Gauss. Gauss work was so important that the normal
DISTANCE-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.
Pre-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
Middle Years Data Analysis Display Methods
Middle Years Data Analysis Display Methods Double Bar Graph A double bar graph is an extension of a single bar graph. Any bar graph involves categories and counts of the number of people or things (frequency)
Lab Activity #2- Statistics and Graphing
Lab Activity #2- Statistics and Graphing Graphical Representation of Data and the Use of Google Sheets : Scientists answer posed questions by performing experiments which provide information about a given
Math 7 Notes - Unit 4 Pattern & Functions
Math 7 Notes - Unit 4 Pattern & Functions Syllabus Objective: (.) The student will create tables, charts, and graphs to etend a pattern in order to describe a linear rule, including integer values. Syllabus
9 POINTS TO A GOOD LINE GRAPH
NAME: PD: DATE: 9 POINTS TO A GOOD LINE GRAPH - 2013 1. Independent Variable on the HORIZONTAL (X) AXIS RANGE DIVIDED BY SPACES and round up to nearest usable number to spread out across the paper. LABELED
Math 1: Solutions to Written Homework 1 Due Friday, October 3, 2008
Instructions: You are encouraged to work out solutions to these problems in groups! Discuss the problems with your classmates, the tutors and/or the instructors. After working doing so, please write up
QUADRATIC AND CUBIC GRAPHS
NAME SCHOOL INDEX NUMBER DATE QUADRATIC AND CUBIC GRAPHS KCSE 1989 2012 Form 3 Mathematics Working Space 1. 1989 Q22 P1 (a) Using the grid provided below draw the graph of y = -2x 2 + x + 8 for values
Algebra II Notes Unit Two: Linear Equations and Functions
Syllabus Objectives:.1 The student will differentiate between a relation and a function.. The student will identify the domain and range of a relation or function.. The student will derive a function rule
Countdown to your final Maths exam part 8 (2017) Examiners Report & Markscheme
Countdown to your final Maths exam part 8 (2017) Examiners Report & Markscheme Examiner's Report Q1. Most candidates made good attempts at this final question. A small number of candidates scored one mark
Quadratic Functions Dr. Laura J. Pyzdrowski
1 Names: (8 communication points) About this Laboratory A quadratic function in the variable x is a polynomial where the highest power of x is 2. We will explore the domains, ranges, and graphs of quadratic
Recitation Handout 10: Experiments in Calculus-Based Kinetics
Math 120 Winter 2009 Recitation Handout 10: Experiments in Calculus-Based Kinetics Today s recitation will focus on curve sketching. These are problems where you information about the first and second
Rational functions, like rational numbers, will involve a fraction. We will discuss rational functions in the form:
Name: Date: Period: Chapter 2: Polynomial and Rational Functions Topic 6: Rational Functions & Their Graphs Rational functions, like rational numbers, will involve a fraction. We will discuss rational
2.1 Solutions to Exercises
Last edited 9/6/17.1 Solutions to Exercises 1. P(t) = 1700t + 45,000. D(t) = t + 10 5. Timmy will have the amount A(n) given by the linear equation A(n) = 40 n. 7. From the equation, we see that the slope
0 Graphical Analysis Use of Excel
Lab 0 Graphical Analysis Use of Excel What You Need To Know: This lab is to familiarize you with the graphing ability of excels. You will be plotting data set, curve fitting and using error bars on the
GRAPHING WORKSHOP. A graph of an equation is an illustration of a set of points whose coordinates satisfy the equation.
GRAPHING WORKSHOP A graph of an equation is an illustration of a set of points whose coordinates satisfy the equation. The figure below shows a straight line drawn through the three points (2, 3), (-3,-2),
Slide 2 / 222. Algebra II. Quadratic Functions
Slide 1 / 222 Slide 2 / 222 Algebra II Quadratic Functions 2014-10-14 www.njctl.org Slide 3 / 222 Table of Contents Key Terms Explain Characteristics of Quadratic Functions Combining Transformations (review)
Graphing 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,
Lesson 8: Graphs and Graphing Linear Equations
In this chapter, we will begin looking at the relationships between two variables. Typically one variable is considered to be the input, and the other is called the output. The input is the value that
Name Class Date. Understanding Functions
Name Class Date 3-2 Relations and Functions Going Deeper Essential question: How do you represent functions? F-IF.. ENGAGE Understanding Functions A set is a collection of items called elements. A function
Goals: - to be able to recognize the position-time, velocity-time and acceleration-time graphs of each of these main types of motion:
Unit: One-Dimensional Kinematics Level: 1 Prerequisites: None Points to: Goals: - to be able to recognize the position-time, velocity-time and acceleration-time graphs of each of these main types of motion:
Graph 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
Create a bar graph that displays the data from the frequency table in Example 1. See the examples on p Does our graph look different?
A frequency table is a table with two columns, one for the categories and another for the number of times each category occurs. See Example 1 on p. 247. Create a bar graph that displays the data from the
Displacement-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
Lesson 8: Graphs and Graphing Linear Equations
A critical skill required for the study of algebra is the ability to construct and interpret graphs. In this lesson we will learn how the Cartesian plane is used for constructing graphs and plotting data.
2016 SFUSD Math Validation Test
2016 SFUSD Math Validation Test The SFUSD course sequence for math provides a focused, coherent, and rigorous learning experience that balances mathematical content knowledge with mathematical practices.
Unit 1 Lesson 4 Representing Data. Copyright Houghton Mifflin Harcourt Publishing Company
Florida Benchmarks SC.6.N.1.1 Define a problem from the sixth grade curriculum, use appropriate reference materials to support scientific understanding, plan and carry out scientific investigation of various
From Motion diagrams to Position and Velocity Graphs
From Motion diagrams to Position and Velocity Graphs Name: Group Members: Date: TA s Name: Apparatus: Aluminum track and a support, cart, plastic ruler, tape timer, and pencil Objectives: 1) To be familiar
ASSIGNMENT BETA COVER SHEET
Question Done Backpack Ready for test ASSIGNMENT BETA COVER SHEET Name Teacher Topic Teacher/student comment Drill A indices Drill B tangents Drill C differentiation Drill D normals Drill E gradient Section
More Ways to Solve & Graph Quadratics The Square Root Property If x 2 = a and a R, then x = ± a
More Ways to Solve & Graph Quadratics The Square Root Property If x 2 = a and a R, then x = ± a Example: Solve using the square root property. a) x 2 144 = 0 b) x 2 + 144 = 0 c) (x + 1) 2 = 12 Completing
Y8 IT in Science Using Forces
Y8 IT in Science Using Forces IT in Science Information Technology can be used in all subjects but is very useful for Science. We can use Information Technology in Science to help us with all these things:
Use Parametric notation. Interpret the effect that T has on the graph as motion.
Learning Objectives Parametric Functions Lesson 3: Go Speed Racer! Level: Algebra 2 Time required: 90 minutes One of the main ideas of the previous lesson is that the control variable t does not appear
Lesson 8 Practice Problems
Name: Date: Lesson 8 Skills Practice 1. Plot and label the points. A. (8, 2) B. (0, 0) C. (0, 5) D. (10, 10) E. ( 4, 4) F. ( 9, 1) G. ( 5, 0) H. (2, 8) 2. Give the coordinates of each of the points shown
Continuous Probability Distributions
Continuous Probability Distributions Chapter 7 McGraw-Hill/Irwin Copyright 2011 by the McGraw-Hill Companies, Inc. All rights reserved. 제 6 장연속확률분포와정규분포 7-2 제 6 장연속확률분포와정규분포 7-3 LEARNING OBJECTIVES LO1.
Topic. Section 4.1 (3, 4)
Topic.. California Standards: 6.0: Students graph a linear equation and compute the x- and y-intercepts (e.g., graph x + 6y = ). They are also able to sketch the region defined by linear inequality (e.g.,
3.1. 3x 4y = 12 3(0) 4y = 12. 3x 4y = 12 3x 4(0) = y = x 0 = 12. 4y = 12 y = 3. 3x = 12 x = 4. The Rectangular Coordinate System
3. The Rectangular Coordinate System Interpret a line graph. Objectives Interpret a line graph. Plot ordered pairs. 3 Find ordered pairs that satisfy a given equation. 4 Graph lines. 5 Find x- and y-intercepts.
AP 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
Summer Math Assignments for Students Entering Algebra II
Summer Math Assignments for Students Entering Algebra II Purpose: The purpose of this packet is to review pre-requisite skills necessary for the student to be successful in Algebra II. You are expected
Chapter 1: Function Sense Activity 1.2 & 3
Name Chapter 1: Function Sense Activity 1.2 & 3 Learning Objectives 1. Determine the equation (symbolic representation) that defines a function. 2. Determine the domain and range of a function. 3. Identify
Why Use Graphs? Test Grade. Time Sleeping (Hrs) Time Sleeping (Hrs) Test Grade
Analyzing Graphs Why Use Graphs? It has once been said that a picture is worth a thousand words. This is very true in science. In science we deal with numbers, some times a great many numbers. These numbers,
Pacing Guide. Seventh Grade Math. Shelburne Middle School Staunton City Schools Staunton, Virginia June 2010
2010 2011 Pacing Guide Seventh Grade Math Shelburne Middle School Staunton City Schools Staunton, Virginia June 2010 2010 2011 Pacing Overview Dates (2001 SOLs) SOL (2009 SOLs) Topics Aug. 18 - Aug. 20
Section Graphs and Lines
Section 1.1 - Graphs and Lines The first chapter of this text is a review of College Algebra skills that you will need as you move through the course. This is a review, so you should have some familiarity
Chapter 2: Descriptive Statistics (Part 1)
Frequency 0 2 4 6 8 12 Chapter 2: Descriptive Statistics (Part 1) 2.1: Frequency Distributions and their Graphs Definition A frequency distribution is something (usually a table) that shows what values
ax + by = 0. x = c. y = d.
Review of Lines: Section.: Linear Inequalities in Two Variables The equation of a line is given by: ax + by = c. for some given numbers a, b and c. For example x + y = 6 gives the equation of a line. A
Density Curve (p52) Density curve is a curve that - is always on or above the horizontal axis.
1.3 Density curves p50 Some times the overall pattern of a large number of observations is so regular that we can describe it by a smooth curve. It is easier to work with a smooth curve, because the histogram
Section 1.2. Displaying Quantitative Data with Graphs. Mrs. Daniel AP Stats 8/22/2013. Dotplots. How to Make a Dotplot. Mrs. Daniel AP Statistics
Section. Displaying Quantitative Data with Graphs Mrs. Daniel AP Statistics Section. Displaying Quantitative Data with Graphs After this section, you should be able to CONSTRUCT and INTERPRET dotplots,
Summer Math Assignments for Students Entering Integrated Math
Summer Math Assignments for Students Entering Integrated Math Purpose: The purpose of this packet is to review pre-requisite skills necessary for the student to be successful in Integrated Math. You are
Proportional 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
Light and the Properties of Reflection & Refraction
Light and the Properties of Reflection & Refraction OBJECTIVE To study the imaging properties of a plane mirror. To prove the law of reflection from the previous imaging study. To study the refraction
Unit 3, Activity 1, Vocabulary Self-Awareness Chart
Unit 3, Activity, Vocabulary Self-Awareness Chart Vocabulary Self-Awareness Chart Word + - Example Definition Relation Function Domain Range Graph Vertical line test F(x) input output independent dependent
Unit 6 Quadratic Functions
Unit 6 Quadratic Functions 12.1 & 12.2 Introduction to Quadratic Functions What is A Quadratic Function? How do I tell if a Function is Quadratic? From a Graph The shape of a quadratic function is called
Essentials. Week by. Week. All About Data. Algebra Alley
> Week by Week MATHEMATICS Essentials Algebra Alley Jack has 0 nickels and some quarters. If the value of the coins is $.00, how many quarters does he have? (.0) What s The Problem? Pebble Pebble! A pebble