Math Performance Task Teacher Instructions
|
|
|
- Ira Curtis
- 5 years ago
- Views:
Transcription
1 Math Performance Task Teacher Instructions Stock Market Research Instructions for the Teacher The Stock Market Research performance task centers around the concepts of linear and exponential functions. Students demonstrate their understanding and application of functions by responding to questions and prompts. Read the student performance task, and familiarize yourself with the tasks the student will be asked to complete. Provide students with copies of the student performance task and a means (paper or electronic) to write their responses. The recommended time for completing the task is 30 to 60 minutes. Students complete the task individually. Assess student performance based on the accompanying rubric. Performance Task Skills Interpret a complicated linear or exponential expression by viewing one or more of its parts as a single entity Rearrange a formula to isolate a variable of interest where the formula is linear in that variable Interpret the meaning of the origin or scale for a graph or data display Solve a problem involving a linear or exponential equation in one variable Graph a linear or exponential equation using coordinate axes Graph an exponential function showing intercepts and end behavior Task Evidence Rating/Points 1. Interpret a linear expression. The student explains that 7.5 (the coefficient) represents the increase per year in the value of the stock. The student explains that 30 (the constant) represents the initial value of the stock. the meaning of the coefficient the constant 2. Rearrange an equation. Solve a problem involving a linear equation in one variable. The student writes the equation y 30 x =, or an equivalent form. 7.5 The student explains that it is easier to find a value of x when the equation is already solved for x. The student uses the equation to find that when y = 67.50, x = 5; it will take equation why rewriting the equation is helpful 1 point for finding the correct number of years 1 of 5
2 3. Solve a problem involving an exponential equation. 4. Solve a problem involving a linear or exponential equation. 5 years for the stock to have a value of $ The student states that 1.3 represents the 30% increase per year. The student states that for x y = 8.3 (1.3), when x = 3, y = 18.24; the value of the stock after 3 years will be $ The student makes a point of converting 24 months to 2 years. The student states that Virtual Game World s stock will have a value of $45.00 in 2 years. The student states that Robotics Unlimited s stock will have a value of $14.03 in 2 years. the meaning of 1.3 in the equation 1 point for stating that when x = 3, y = point for converting the months to years before using the equation value of Virtual Game World s stock value of Robotics Unlimited s stock 5. Graph the equation. The student writes the ordered pairs (2, 45), (5, 67.5), and (10, 105) for the Virtual Game World table. The student writes the ordered pairs (2, 14.03), (3, 18.24), and (10, ) for the Robotics Unlimited table. The student graphs each equation correctly. (See sample graph.) Virtual Game World table Robotics Unlimited table linear graph exponential graph 6. Interpret the meaning of the origin. The student says (0, 0) is not a point on either graph. The student states that x = 0 represents the initial time of purchase, y = 0 represents the initial value of the stocks, and the initial values are not $0. 1 point for saying that (0, 0) is not on either graph 1 point for giving a clear and accurate explanation of why or why not 7. Interpret the graph. The student states that when x = 0, the stock had an initial value of $8.30 per share. 1 point for correctly describing the meaning of the ordered pair 8. Solve a problem by interpreting the graph. The student correctly states that the point of intersection occurs at x = 9.5. The student explains that the point of intersection on the graph shows the time at which the stock values are the same. x-value 1 point for describing the intersection as the point of interest for determining when the stocks will be equal in 2 of 5
3 9. Analyze and interpret the information. Student selects Robotics Unlimited because based on the projected values, the stock will have a greater value than Virtual Game World s stock after ten years. value 0 2 points based on a complete recommendation Sample Response For the first ten years, Virtual Game World s stock will be worth more than Robotics Unlimited s stock. But, if the trends continue, after ten years Robotics Unlimited s stock will be worth more than Virtual Game World s stock. Since you plan to let your investment grow for at least 15 years, Alonso, you should invest in Robotics Unlimited. 3 of 5
4 Instructions for the Student Alonso wants to invest his savings in the stock market. He narrowed his choices to two companies Virtual Game World and Robotics Unlimited. He reads an article that predicts each company s future stock values. Help Alonso analyze the two companies. Determine which one he should invest in by answering the questions below. 1. The equation y = 7.5x + 30 models the projected value for one share of Virtual Game World stock. The variable y represents the value of one share of stock, and the variable x represents years invested. Let x = 0 represent year 0 or when you first buy the stock, and let x = 1 indicate one year after the stock purchase. Explain what the coefficient and constant mean in the context of the problem. 2. Alonso wants to know how long it would take for the Virtual Game stock to be worth $ Rewrite the equation in terms of x. How does this help Alonso? Using your equation, find the number of years it will take for the stock value to be $ The equation y = 8.3(1.3) x models the projected value for one share of Robotics Unlimited stock. The variable x represents the number of years since purchase. The variable y represents the stock value. The initial value of the stock when x = 0 is $8.30 per share. The stock is expected to increase by 30% each year. What does 1.3 represent in the equation? Use the equation to determine the value of the Robotics Unlimited stock in 3 years. 4. What is the predicted value of each stock 24 months from the purchase date? 5. To better compare the two stocks, Alonso decided to graph the equations. Graph the two equations on the same grid. Complete a table of values for each equation to help you. Use the graph on the next page. Virtual Game World Year (x) Value (y) Robotics Unlimited Year (x) Value (y) of 5
5 6. Is the point (0, 0) on either of the graphs? Explain why or why not. 7. In the graph of y = 7.5x + 30, the y-intercept shows the initial value of the Virtual Game World stock as $30. What does the point (0, 8.3) on the graph for Robotics Unlimited represent? 8. After how many years will the values of the two stocks be the same? Use the graph in your analysis. Explain your answer. 9. Alonso plans to watch his investment grow for at least 15 years. Analyze the information about the two companies. Write a brief note to Alonso, making a recommendation about which stock he should choose. 5 of 5
Extra Practice Chapter 6
Extra Practice Chapter 6 Topics Include: Equation of a Line y = mx + b & Ax + By + C = 0 Graphing from Equations Parallel & Perpendicular Find an Equation given Solving Systems of Equations 6. - Practice:
Algebra Success. LESSON 14: Discovering y = mx + b
T282 Algebra Success [OBJECTIVE] The student will determine the slope and y-intercept of a line by examining the equation for the line written in slope-intercept form. [MATERIALS] Student pages S7 S Transparencies
The Zero Product Law. Standards:
Objective: Students will be able to (SWBAT) use complex numbers in polynomial identities and equations, in order to (IOT) solve quadratic equations with real coefficient that have complex solutions. Standards:
Math Released Item Grade 8. Slope Intercept Form VH049778
Math Released Item 2018 Grade 8 Slope Intercept Form VH049778 Anchor Set A1 A8 With Annotations Prompt Score Description VH049778 Rubric 3 Student response includes the following 3 elements. Computation
A warm up to review identifying proportional and non-proportional relationships from tables and graphs would give students entry to the activity.
1 Interpreting Slopes and Y-Intercepts of Proportional and Non-Proportional Relationships Task 1: Investigating Proportional and Non-Proportional Relationships Framework Cluster Standard(s) Materials/Links
Slope-Intercept Form Practice True False Questions Indicate True or False for the following Statements.
www.ck2.org Slope-Intercept Form Practice True False Questions Indicate True or False for the following Statements.. The slope-intercept form of the linear equation makes it easier to graph because the
Applications of Exponential Functions Group Activity 7 Business Project Week #10
Applications of Exponential Functions Group Activity 7 Business Project Week #10 In the last activity we looked at exponential functions. This week we will look at exponential functions as related to interest
Mathematics Success Grade 8
Mathematics Success Grade 8 T379 [OBJECTIVE] The student will derive the equation of a line and use this form to identify the slope and y-intercept of an equation. [PREREQUISITE SKILLS] Slope [MATERIALS]
4.5 Comparing Exponential Functions
4.5 Comparing Exponential Functions So far we have talked in detail about both linear and exponential functions. In this section we ll compare exponential functions to other exponential functions and also
Unit 3: Writing Equations Chapter Review
Unit 3: Writing Equations Chapter Review Part 1: Writing Equations in Slope Intercept Form. (Lesson 1) 1. Write an equation that represents the line on the graph. 2. Write an equation that has a slope
Equations. Krista Hauri I2T2 Project
Applied Linear Equations Krista Hauri I2T2 Project Grade Level: 9 th Intergraded Algebra 1 Time Span : 5 (40 minute) days Tools: Calculator Base Ranger (CBR) at least 4 TI-84 Graphing Calculator for each
Section 4.3 Objectives
CHAPTER ~ Linear Equations in Two Variables Section Equation of a Line Section Objectives Write the equation of a line given its graph Write the equation of a line given its slope and y-intercept Write
Section 9.1 Solving Linear Inequalities
Section 9.1 Solving Linear Inequalities We know that a linear equation in x can be expressed as ax + b = 0. A linear inequality in x can be written in one of the following forms: ax + b < 0, ax + b 0,
Question 3: How do you find the relative extrema of a function?
Question 3: How do you find the relative extrema of a function? The strategy for tracking the sign of the derivative is useful for more than determining where a function is increasing or decreasing. It
Chap3a Introduction to Exponential Functions. Y = 2x + 4 Linear Increasing Slope = 2 y-intercept = (0,4) f(x) = 3(2) x
Name Date HW Packet Lesson 3 Introduction to Exponential Functions HW Problem 1 In this problem, we look at the characteristics of Linear and Exponential Functions. Complete the table below. Function If
Mathematics Success Level H
Mathematics Success Level H T473 [OBJECTIVE] The student will graph a line given the slope and y-intercept. [MATERIALS] Student pages S160 S169 Transparencies T484, T486, T488, T490, T492, T494, T496 Wall-size
Read the following situation to determine whether the inequality correctly models the company s information.
Algebra 1 EOC Review #7 m w2q0y1c7h \KquntBaE qsoohfhthwwabrhei vlxlvcc.e a naslzlu BrniVgwhgtosV er_e\sxeerivdeado. Additional Practice 1) Selected-Response Name Date Period Sandra sells necklaces at
notebook October 08, What are the x and y intercepts? (write your answers as coordinates).
3.4 Opening Activity: Draw a graph of the equation y = 5x + 20 What are the x and y intercepts? (write your answers as coordinates). How are you able to use the equation but NOT the graph to find the x
I(g) = income from selling gearboxes C(g) = cost of purchasing gearboxes The BREAK-EVEN PT is where COST = INCOME or C(g) = I(g).
Page 367 I(g) = income from selling gearboxes C(g) = cost of purchasing gearboxes The BREAK-EVEN PT is where COST = INCOME or C(g) = I(g). PROFIT is when INCOME > COST or I(g) > C(g). I(g) = 8.5g g = the
Review Exercise Set 13. Find the slope and the equation of the line in the following graph. If the slope is undefined, then indicate it as such.
Review Exercise Set 13 Exercise 1: Find the slope and the equation of the line in the following graph. If the slope is undefined, then indicate it as such. Exercise 2: Write a linear function that can
4. a. This table shows two points that are on the same straight line. Complete the table to show three other points on the same line.
Moving Straight Ahead Study Questions 0. Sharon owns a bakery that makes cakes. She must pay a monthly rent for the bakery, and has to pay for ingredients for each cake. In January she made 300 cakes and
Algebra/Geometry Blend Unit #5: Factoring and Quadratic Functions Lesson 2: Factoring Trinomials. What does factoring really mean?
Algebra/Geometry Blend Unit #5: Factoring and Quadratic Functions Lesson 2: Factoring Trinomials Name Period Date [page 1] Before you embark on your next factoring adventure, it is important to ask yourself
Financial Literacy in Mathematics
Lesson 1: Earning Money Math Learning Goals Students will: make connections between various types of payment for work and their graphical representations represent weekly pay, using equations and graphs
Graphing Equations Chapter Test Review
Graphing Equations Chapter Test Review Part 1: Calculate the slope of the following lines: (Lesson 3) Unit 2: Graphing Equations 2. Find the slope of a line that has a 3. Find the slope of the line that
Algebra I April 2017 EOC Study Guide Practice Test 1
Name: Algebra I April 2017 EOC Study Guide Practice Test 1 Score: Top 3 Items to Study: 1. 2. 3. 1) The distance a car travels can be found using the formula d = rt, where d is the distance, r is the rate
Final Project. College Algebra. Upon successful completion of this course, the student will be able to:
COURSE OBJECTIVES Upon successful completion of this course, the student will be able to: 1. Perform operations on algebraic expressions 2. Perform operations on functions expressed in standard function
BACKGROUND KNOWLEDGE for Teachers and Students
Pathway: Agribusiness Lesson: ABR B4 1: The Time Value of Money Common Core State Standards for Mathematics: 9-12.F-LE.1, 3 Domain: Linear, Quadratic, and Exponential Models F-LE Cluster: Construct and
Comparing Investments
Lesson 37 Mathematics Assessment Project Formative Assessment Lesson Materials Comparing Investments MARS Shell Center University of Nottingham & UC Berkeley Alpha Version Please Note: These materials
SPIRIT 2.0 Lesson: Am I Straight?
SPIRIT 2.0 Lesson: Am I Straight? ===============================Lesson Header ============================== Lesson Title: Am I Straight? Draft Date: July 21, 2008 1st Author (Writer): Neil Hammond 2nd
When Is Factoring Used?
When Is Factoring Used? Name: DAY 9 Date: 1. Given the function, y = x 2 complete the table and graph. x y 2 1 0 1 2 3 1. A ball is thrown vertically upward from the ground according to the graph below.
Chapter 10: Exponential Functions
Chapter 10: Exponential Functions Lesson 1: Introduction to Exponential Functions and Equations Lesson 2: Exponential Graphs Lesson 3: Finding Equations of Exponential Functions Lesson 4: Exponential Growth
2-4 Completing the Square
2-4 Completing the Square Warm Up Lesson Presentation Lesson Quiz Algebra 2 Warm Up Write each expression as a trinomial. 1. (x 5) 2 x 2 10x + 25 2. (3x + 5) 2 9x 2 + 30x + 25 Factor each expression. 3.
Math of Finance Exponential & Power Functions
The Right Stuff: Appropriate Mathematics for All Students Promoting the use of materials that engage students in meaningful activities that promote the effective use of technology to support mathematics,
Chapter 6: Quadratic Functions & Their Algebra
Chapter 6: Quadratic Functions & Their Algebra Topics: 1. Quadratic Function Review. Factoring: With Greatest Common Factor & Difference of Two Squares 3. Factoring: Trinomials 4. Complete Factoring 5.
Name Date
NEW DORP HIGH SCHOOL Deirdre A. DeAngelis, Principal MATHEMATICS DEPARTMENT Li Pan, Assistant Principal Name Date Summer Math Assignment for a Student whose Official Class starts with 7, 8, and 9 Directions:
Algebra 1 Predicting Patterns & Examining Experiments
We will explicitly define slope-intercept form. We have already examined slope, y- intercepts, and graphing from tables, now we are putting all of that together. This lesson focuses more upon the notation
Chapter 4 Factoring and Quadratic Equations
Chapter 4 Factoring and Quadratic Equations Lesson 1: Factoring by GCF, DOTS, and Case I Lesson : Factoring by Grouping & Case II Lesson 3: Factoring by Sum and Difference of Perfect Cubes Lesson 4: Solving
March 08, LP10 apps.notebook. Warm Up. Solve for x: GRAB A PACKET FROM THE BACK!!
Warm Up Solve for x: GRAB A PACKET FROM THE BACK!! 1 Examples: Change of Base 1) Solve for x to the nearest hundredth: 2) If a $100 investment receives 5% interest each year, after how many years will
r 1. Discuss the meaning of compounding using the formula A= A0 1+
Money and the Exponential Function Goals: x 1. Write and graph exponential functions of the form f ( x) = a b (3.15) 2. Use exponential equations to solve problems. Solve by graphing, substitution. (3.17)
TASK: What is the True Cost of Purchasing an Automobile?
This task was developed by secondary mathematics and CTE teachers across Washington State from urban and rural areas. These teachers have incorporated financial literacy in their classroom and have received
2) Endpoints of a diameter (-1, 6), (9, -2) A) (x - 2)2 + (y - 4)2 = 41 B) (x - 4)2 + (y - 2)2 = 41 C) (x - 4)2 + y2 = 16 D) x2 + (y - 2)2 = 25
Math 101 Final Exam Review Revised FA17 (through section 5.6) The following problems are provided for additional practice in preparation for the Final Exam. You should not, however, rely solely upon these
3.1 Exponential Functions and Their Graphs Date: Exponential Function
3.1 Exponential Functions and Their Graphs Date: Exponential Function Exponential Function: A function of the form f(x) = b x, where the b is a positive constant other than, and the exponent, x, is a variable.
6.3 Comparing Functions
? LESSN 6.3 Comparing Functions ESSENTIAL QUESTIN How can you use tables, graphs, and equations to compare functions? Proportionality 8.5.I Write an equation in the form y = mx + b to model a linear relationship
WEEK 1 REVIEW Lines and Linear Models. A VERTICAL line has NO SLOPE. All other lines have change in y rise y2-
WEEK 1 REVIEW Lines and Linear Models SLOPE A VERTICAL line has NO SLOPE. All other lines have change in y rise y- y1 slope = m = = = change in x run x - x 1 Find the slope of the line passing through
Solutions for Rational Functions
Solutions for Rational Functions I. Souldatos Problems Problem 1. 1.1. Let f(x) = x4 9 x 3 8. Find the domain of f(x). Set the denominator equal to 0: x 3 8 = 0 x 3 = 8 x = 3 8 = 2 So, the domain is all
Linear Modeling Business 5 Supply and Demand
Linear Modeling Business 5 Supply and Demand Supply and demand is a fundamental concept in business. Demand looks at the Quantity (Q) of a product that will be sold with respect to the Price (P) the product
Lesson 28. Student Outcomes. Lesson Notes. Materials. Classwork. Formulating the Problem (15 minutes)
Student Outcomes Students create equations and inequalities in one variable and use them to solve problems. Students create equations in two or more variables to represent relationships between quantities
Finding the Equation from a Slope and y-intercept
Lesson 4.4 Objectives Write linear equations given a slope and y-intercept, a slope and a point, or a graph. Writing Linear Equations Michael turns on the high-temperature oven each morning when he comes
Review for Test 3: Linear Functions
Name: Date: Period: Review for Test 3: Linear Functions Slope Formula: y 2 y 1 x 2 x 1 1. Graph the line that passes through the given points. Then identify the slope, whichever intercept is asked for,
1 Supply and Demand. 1.1 Demand. Price. Quantity. These notes essentially correspond to chapter 2 of the text.
These notes essentially correspond to chapter 2 of the text. 1 Supply and emand The rst model we will discuss is supply and demand. It is the most fundamental model used in economics, and is generally
BOSTON UNIVERSITY SCHOOL OF MANAGEMENT. Math Notes
BOSTON UNIVERSITY SCHOOL OF MANAGEMENT Math Notes BU Note # 222-1 This note was prepared by Professor Michael Salinger and revised by Professor Shulamit Kahn. 1 I. Introduction This note discusses the
6.4 Solving Linear Inequalities by Using Addition and Subtraction
6.4 Solving Linear Inequalities by Using Addition and Subtraction Solving EQUATION vs. INEQUALITY EQUATION INEQUALITY To solve an inequality, we USE THE SAME STRATEGY AS FOR SOLVING AN EQUATION: ISOLATE
Quadratic Modeling Elementary Education 10 Business 10 Profits
Quadratic Modeling Elementary Education 10 Business 10 Profits This week we are asking elementary education majors to complete the same activity as business majors. Our first goal is to give elementary
A. B. C. D. Graphing Quadratics Practice Quiz. Question 1. Select the graph of the quadratic function. f (x ) = 2x 2. 2/26/2018 Print Assignment
Question 1. Select the graph of the quadratic function. f (x ) = 2x 2 C. D. https://my.hrw.com/wwtb2/viewer/printall_vs23.html?umk5tfdnj31tcldd29v4nnzkclztk3w8q6wgvr2629ca0a5fsymn1tfv8j1vs4qotwclvofjr8uon4cldd29v4
35 38 point slope day 2.notebook February 26, a) Write an equation in point slope form of the line.
LT 6: I can write and graph equations in point slope form. p.35 What is point slope form? What is slope intercept form? Let's Practice: There is a line that passes through the point (4, 3) and has a slope
Page Points Score Total: 100
Math 1130 Spring 2019 Sample Midterm 2b 2/28/19 Name (Print): Username.#: Lecturer: Rec. Instructor: Rec. Time: This exam contains 10 pages (including this cover page) and 9 problems. Check to see if any
Algebra Review (New Version) Homework Problems
MATH 119 Algebra Review (New Version) Homework Problems The following set is only to review the Algebra needed for this class. It should be familiar to you from previous class such as M110, M111 or others.
Int Math 1 Midterm Review Handout (Modules 1-5)
Int Math 1 Midterm Review Handout (Modules 1-5) 1 Short Answer: (Put answer in box below.) A small hotel with 4 rooms was destroyed in a fire. After the hotel was rebuilt, the owner took out a loan to
Financial Applications Involving Exponential Functions
Section 6.5: Financial Applications Involving Exponential Functions When you invest money, your money earns interest, which means that after a period of time you will have more money than you started with.
Day Lesson Title Math Learning Goals Expectations
Unit 3 Exponentials MAP 4C Foundations for College Mathematics BIG PICTURE Students will: Solve exponential equations Investigate the effects of changing parameters when investing in an annuity or a mortgage
Unit 1 Maths Methods (CAS) Exam 2013 Thursday June 6th pm
Name: Teacher: Unit 1 Maths Methods (CAS) Exam 2013 Thursday June 6th 1.50-3.20 pm Reading time: 10 Minutes Writing time: 80 Minutes Instruction to candidates: Students are permitted to bring into the
Quadratic Algebra Lesson #2
Quadratic Algebra Lesson # Factorisation Of Quadratic Expressions Many of the previous expansions have resulted in expressions of the form ax + bx + c. Examples: x + 5x+6 4x 9 9x + 6x + 1 These are known
* The Unlimited Plan costs $100 per month for as many minutes as you care to use.
Problem: You walk into the new Herizon Wireless store, which just opened in the mall. They offer two different plans for voice (the data and text plans are separate): * The Unlimited Plan costs $100 per
HIGH-LOW METHOD. Key Terms and Concepts to Know
HIGH-LOW METHOD Key Terms and Concepts to Know Variable, Fixed and Mixed Costs Many costs are clearly variable, such as direct labor and direct materials, or clearly fixed, such as rent and salaries. Other
Common Core Algebra L clone 4 review R Final Exam
1) Which graph represents an exponential function? A) B) 2) Which relation is a function? A) {(12, 13), (14, 19), (11, 17), (14, 17)} B) {(20, -2), (24, 10), (-21, -5), (22, 4)} C) {(34, 8), (32, -3),
Writing Exponential Equations Day 2
Writing Exponential Equations Day 2 MGSE9 12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational,
EXAMPLE 2 COMMON CORE
REFLECT. Why can it be helpful to solve a linear equation for y? Graphing a Linear Function Using the Slope and y-intercept You can graph the linear function f() = m + b using only the slope m and y-intercept
Name: Common Core Algebra L R Final Exam 2015 CLONE 3 Teacher:
1) Which graph represents a linear function? 2) Which relation is a function? A) B) A) {(2, 3), (3, 9), (4, 7), (5, 7)} B) {(0, -2), (3, 10), (-2, -4), (3, 4)} C) {(2, 7), (2, -3), (1, 1), (3, -1)} D)
CH 39 CREATING THE EQUATION OF A LINE
9 CH 9 CREATING THE EQUATION OF A LINE Introduction S ome chapters back we played around with straight lines. We graphed a few, and we learned how to find their intercepts and slopes. Now we re ready to
Comparing Linear Increase and Exponential Growth
Lesson 7-7 Comparing Linear Increase and Exponential Growth Lesson 7-7 BIG IDEA In the long run, exponential growth always overtakes linear (constant) increase. In the patterns that are constant increase/decrease
Writing Exponential Equations Day 2
Writing Exponential Equations Day 2 MGSE9 12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational,
Buying A Car. Mathematics Capstone Course
Buying A Car Mathematics Capstone Course I. UNIT OVERVIEW & PURPOSE: In this lesson the student will be asked to search the Internet and find a car that he/she would like to purchase. The student will
Lesson 16: Saving for a Rainy Day
Opening Exercise Mr. Scherer wanted to show his students a visual display of simple and compound interest using Skittles TM. 1. Two scenes of his video (at https://www.youtube.com/watch?v=dqp9l4f3zyc)
Chapter 7: Exponential and Logarithmic Functions
Chapter 7: Exponential and Logarithmic Functions Lesson 7.1: Exploring the Characteristics of Exponential Functions, page 439 1. a) No, linear b) Yes c) No, quadratic d) No, cubic e) Yes f) No, quadratic
Cost (in dollars) 0 (free) Number of magazines purchased
Math 1 Midterm Review Name *****Don t forget to study the other methods for solving systems of equations (substitution and elimination) as well as systems of linear inequalities and line of best fit! Also,
1. Factors: Write the pairs of factors for each of the following numbers:
Attached is a packet containing items necessary for you to have mastered to do well in Algebra I Resource Room. Practicing math skills is especially important over the long summer break, so this summer
The Best Cell Phone Plan
Overview Activity ID: 8605 Math Concepts Materials Students will compare two cell phone plans and determine linear functions TI-30XS which plan is better for a specific situation. They will utilize graphing
1. You are given two pairs of coordinates that have a linear relationship. The two pairs of coordinates are (x, y) = (30, 70) and (20, 50).
Economics 102 Fall 2017 Answers to Homework #1 Due 9/26/2017 Directions: The homework will be collected in a box before the lecture. Please place your name, TA name and section number on top of the homework
How Much Money Should Dr. Evil Demand?
robertkaplinsky.com http://robertkaplinsky.com/work/dr-evil/ How Much Money Should Dr. Evil Demand? The Situation The Challenge(s) How much money should Dr. Evil demand? What would the inflation rate have
Math 122 Calculus for Business Admin. and Social Sciences
Math 122 Calculus for Business Admin. and Social Sciences Instructor: Ann Clifton Name: Exam #1 A July 3, 2018 Do not turn this page until told to do so. You will have a total of 1 hour 40 minutes to complete
Comparing Investments
CONCEPT DEVELOPMENT Mathematics Assessment Project CLASSROOM CHALLENGES A Formative Assessment Lesson Comparing Investments Mathematics Assessment Resource Service University of Nottingham & UC Berkeley
Lesson 21: Comparing Linear and Exponential Functions Again
: Comparing Linear and Exponential Functions Again Student Outcomes Students create models and understand the differences between linear and exponential models that are represented in different ways. Lesson
WEEK 2 REVIEW. Straight Lines (1.2) Linear Models (1.3) Intersection Points (1.4) Least Squares (1.5)
WEEK 2 REVIEW Straight Lines (1.2) Linear Models (1.3) Intersection Points (1.4) Least Squares (1.5) 1 STRAIGHT LINES SLOPE A VERTICAL line has NO SLOPE. All other lines have a slope given by m = rise
Practice 5-5. The y-intercept of a Line. Name Class Date. 2. Graph the equation y = x + 7. What is the y-intercept of the graph of the equation?
Name Class Date Practice 5-5 The y-intercept of a Line 5-5 The y-intercept of a Line 1. What is the y-intercept of the graph? 2. Graph the equation y = x + 7. What is the y-intercept of the graph of the
Exponential & Logarithmic
Exponential & Logarithmic Frank C. Wilson Functions I by file Activity Collection m Credit Card Balance Transfer DVD Player Sales Government Employee Salaries Living Longer Low Interest or Cash Back Shopping
Partial Fractions. A rational function is a fraction in which both the numerator and denominator are polynomials. For example, f ( x) = 4, g( x) =
Partial Fractions A rational function is a fraction in which both the numerator and denominator are polynomials. For example, f ( x) = 4, g( x) = 3 x 2 x + 5, and h( x) = x + 26 x 2 are rational functions.
Fairfield Public Schools
Mathematics Fairfield Public Schools Financial Algebra 42 Financial Algebra 42 BOE Approved 04/08/2014 1 FINANCIAL ALGEBRA 42 Financial Algebra focuses on real-world financial literacy, personal finance,
Math 101, Basic Algebra Author: Debra Griffin
Math 101, Basic Algebra Author: Debra Griffin Name Chapter 5 Factoring 5.1 Greatest Common Factor 2 GCF, factoring GCF, factoring common binomial factor 5.2 Factor by Grouping 5 5.3 Factoring Trinomials
LINES AND SLOPES. Required concepts for the courses : Micro economic analysis, Managerial economy.
LINES AND SLOPES Summary 1. Elements of a line equation... 1 2. How to obtain a straight line equation... 2 3. Microeconomic applications... 3 3.1. Demand curve... 3 3.2. Elasticity problems... 7 4. Exercises...
dollars per person; the cost is $45 for each person. dollars per person; the cost is $1 for 225 people.
Name: ate: 1 The table shows the cost of a vacation package for a given number of people. The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for
Student Activity: Show Me the Money!
1.2 The Y-Intercept: Student Activity Student Activity: Show Me the Money! Overview: Objective: Terms: Materials: Procedures: Students connect recursive operations with graphs. Algebra I TEKS b.3.b Given
Sandringham School Sixth Form. AS Maths. Bridging the gap
Sandringham School Sixth Form AS Maths Bridging the gap Section 1 - Factorising be able to factorise simple expressions be able to factorise quadratics The expression 4x + 8 can be written in factor form,
December 7 th December 11 th. Unit 4: Introduction to Functions
Algebra I December 7 th December 11 th Unit 4: Introduction to Functions Jump Start Solve each inequality below. x + 2 (x 2) x + 5 2(x 3) + 2 1 Exponential Growth Example 1 Two equipment rental companies
Go for the Curve! Comparing Linear and Exponential Functions. Lesson 5.1 Assignment
Lesson.1 Assignment Name Date Go for the Curve! Comparing Linear and Exponential Functions 1. Chanise just received a $200 bonus check from her employer. She is going to put it into an account that will
Logarithmic and Exponential Functions
Asymptotes and Intercepts Logarithmic and exponential functions have asymptotes and intercepts. Consider the functions f(x) = log ax and f(x) = lnx. Both have an x-intercept at (1, 0) and a vertical asymptote
TEST # 1 REVIEW MATH MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
TEST # REVIEW MATH Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Give the domain and range of the relation. ) {(-8, -), (, ), (9, 8), (-, ),
a. Compare the average rate of change from 1950 to 1970 for both the U.S. and world populations.
Aim #84: How do we compare linear and exponential growth? 3-31-17 Homework: Handout Do Now: Callie and Joe are examining the population data in the graphs below for a history report. Their comments are
5.5: LINEAR AUTOMOBILE DEPRECIATION OBJECTIVES
Section 5.5: LINEAR AUTOMOBILE DEPRECIATION OBJECTIVES Write, interpret, and graph a straight line depreciation equation. Interpret the graph of a straight line depreciation. Key Terms depreciate appreciate
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Algebra - Final Exam Review Part Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use intercepts and a checkpoint to graph the linear function. )
Cell Phone Plans Assignment
Cell Phone Plans Assignment Name: /43 Total This Investigation has the following components: INTRODUCTION Overview of the different Plans PART A Make a hypothesis à which do you think is best for you (2