8-sided polygon transformation in which a geometric figure is reflected across a line, creating a mirror image 1 / 105. small angle which is less than 90. Do you agree with this alignment? velocity: The time rate of change of position of a body in a specified direction. (Grades Students will be asked to find various characteristics of a polynomial function modeled by a roller coasters path. Resources. Precalculus, Graphical, Numerical, Algebraic. A baker could use this term when baking a cake. The tangency point of these three parabolas is determined solving equations (9)-(10).copyrightCopyright 2017 Miguel R. Ramirez, Figure 7. An artist may use this term when making a symmetrical painting. A scientist may use this term when following the scientific method. These are made from pieces of vinyl corner bead.copyrightCopyright 2017 Miguel R. Ramirez, Figure 17. Start by writing the equation of the circle. HTo0~GGi iHp2K@t|YSRl|;]o p~> &oZKrqWS4Rfuyog3RFw"3NAi]{kI378 i=Z@x`s:,H0%fC#]_I4Zf1^ The Richest. A line segment connecting two points on a curve. 510 0 obj <> endobj - The roller coaster moves horizontally from the origin Larson, Ron, Edwards, Bruce, and Hostetler, Robert P. Calculus of a Single Variable. Be sure to show all work where indicated and to insert images of graphs when needed. ride. You have decided to become a structural engineer who specializes Next, student find the equation of parabola 2, which is mid and tangent to parabolas 1 and 3. (Recall that the general form of a circle with the center at the origin is x2+y2=r2. A computer scientist may use this term when creating phone apps. It is moving slowly, so it also has a small amount of kinetic energy. This polynomial is a cubic trinomial 2. 9 - - your coaster ride must have at least 3 relative. Confidential Page 1 of 8. D, http://wonderopolis.org/wonder/how-do-roller-coasters-work. Then, using formula (1) and Excel, direct the groups to each determine the maximum height the marble is able to reach after being dropped from the initial height. Students, again using equation (1), determine the maximum height the marble may reach when dropped from highest point and rolled through the parabolas 1-2-3 path. For a solid sphere rolling on an inclined straight surface, the work done by friction is proportional to the weight of the object and the surface steepness (19). An interior designer may use this term when helping a client pick out furniture. 2. Solution Roller Coaster Design Worksheet Studypo performance task roller coaster design edgenuity. A driver's ed student may use this term when studying their state's driving laws. increasing and red where the polynomial is Analyzing the velocities along the parabolas 1 to 5 (Figure 8): Figure 8. A sculptor could use this term when creating a sculpture. hb```@(1M@ Z6N;#s?BH Tyj&SB8:^(;\ # SA A? the amusement park? %1lePMLbp`;IIukCNq$ Uhp! Certain reinforcement cables and struts are required to make the roller coaster sturdier. Make the coaster cross at x = 300 and 700. In this activity, by designing a simple roller coaster, students consider the same forces that professional engineers do when designing rides. sum is 90. It is proportional to its mass and to the square of its velocity. In the associated lesson, A Tale of Friction, it is explained in detail using high school differential calculus and physics how to find a formula to determine the velocity of a sphere rolling along a simple roller coaster path considering friction (1): Equation (1) is the magic key to successfully design a functional simple roller coaster with its path defined by a function f (x). You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Your job is to design your own roller coaster ride. the part of a circle enclosed by two radii of a circle and their intercepted arc This material is inexpensive and easy to work with. Pp. Performance Task Roller Coaster Design Unit Test Unit Test Review Answers. Pushing horizontally with a small force, static friction establishes an equal and opposite force that keeps the object at rest. Use mathematical language and symbols to read and write mathematics and to converse with others. to be true whenever both parts have the same truth value. A college professor may use this term when reviewing with a class. An interior designer may use this term when describing a piece of furniture. of two), at least 2 real root, 6. The table shows that the rolling solid is unable to reach a height beyond 8.123 inches at the end of parabola 3. Provide at least 3 reasons in your response. 533 0 obj <>/Filter/FlateDecode/ID[]/Index[510 42]/Info 509 0 R/Length 108/Prev 201020/Root 511 0 R/Size 552/Type/XRef/W[1 3 1]>>stream the distance around it Quarter 1 . Someone (like a cartoonist) drawing stick figures may use this term. Calculate the distance of half of a circle or of its circumference In the work-energy equation obtained in the associated lesson, A Tale of Friction: f (x) is the height on the roller coaster path, and the work done by the friction force, equation (18) left term, is always negative. An architect may use this term when designing adjacent buildings. A builder may use this term when sketching a potential building. *The NGSS logo is a registered trademark of WestEd. In this activity, students design a Russian Mountain path using upward-opening and downward-opening parabolas. 10. Subject Areas: 12), demonstrate common forms of potential energy, including gravitational, elastic, and chemical, such as a ball on an inclined plane, springs, and batteries; Draw a coordinate axis on the cardboard backing (A). - Consider the initial point of the roller coaster is Addison-Wesley, 1966 (Spanish version: Fisica Volumen 1, Mecanica. %%EOF four-sided polygon with four angles a part of a line that is bounded by two distinct end points, and contains every point on the line between its end points At the macroscopic scale, energy manifests itself in multiple ways, such as in motion, sound, light, and thermal energy. a triangle in which all three sides are equal ratio of any two corresponding lengths in two similar geometric figures Q: What surprise, unanticipated (not considered) details did you encounter during construction? 12), Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. Figure 1. designing. A constructor may use this term when making a building. Shell Center Short Cycle Tasks - www.map.mathshell.org. ^E B~ )Q5{i4~*2?l[X.3K)u3_$./=o`G[2*Br$t:#qMPm:)yD->%BZKuz 0Rpmz?mu}S\":E@v@+KVc_b^Ni-d^g"I/\&- . For students in these grade bands, it is explained that roller coasters work because potential energy transforms into kinetic energy and vice versa, and that the initial potential energy builds up the kinetic energy to propel a cart through the remainder of the ride. The amusement park you are designing for gave you the following coaster requirements. the action of taking an object and moving it to a different location without altering its shape or size In this calculation, friction is present. Up to 24 cash back One plan to secure the roller coaster is to use a chain fastened to two beams equidistant from the axis of symmetry of the roller coaster as shown in the graph below. minutes. A cartographer may use this term when making a map. continuous line forming the boundary of a closed geometric figure https://www.teachengineering.org/activities/view/duk_rollercoaster_music_act, Morrow, Mandy. A: The model failed if we were not careful with the way the marble was dropped at the beginning of the path. Once that height is determined, the vertex for the downward-opening parabolas may be defined, and the next step is to join them smoothly with the upward-opening parabolas. When evaluating solutions it is important to take into account a range of constraints including cost, safety, reliability and aesthetics and to consider social, cultural and environmental impacts. A mathematician may use this term when explaining to others. Performance Task Description You have decided to become a structural engineer who specializes in roller coaster design. Formula (19) states that the average friction force on a segment of the coasters path, depends on the rolling objects mass as well as on the segments slope and length. Performance task: roller coaster design performance task download microsoft word document download pdf file the graph for model 3 should look like this. Commutative Property of Addition and the Distributive Property Simplify the expressionALGEBRA 2A PERFORMANCE TASK ROLLER COASTER DESIGN DECEMBER 18TH 2019 - EDGENUITY ALGEBRA 2A PERFORMANCE TASK ROLLER COASTER DESIGN OPEN IN A NEW WINDOW SOME STUDENTS ARE HAVING TROUBLE. The goal, for this project is for your team to determine where to place these cables or struts. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. TeachEngineering Digital Library. this task, please follow these steps: A college professor may use this term when reviewing with a class. Because of this force, every object in a state of uniform motion, or rest, tends to remain in that state unless an external force is applied to it. If a = b and b = c, then a = c (Grades (maybe a designer ?!). 9 - Wonder of the Day #1239. 'GY[FU4W\UW`rvA 7`-Q#kV:AC_i Wk$d|;H n?Q5#t9E\`@I0fe_]u}humywMT(D"ZrW4W}O&S[>=]~. Define which of the necessary construction materials you will provide and which you will ask students to provide. 9 - This activity also uses some non-expendable (usable) items; see the Materials List for details. A financial advisor may use this term when checking someone's bills. Designing a roller coaster for everyone even people not riding. method of affirming elimination Parabolas are simple and efficient building blocks to create a differentiable piecewise function to describe a Russian Mountains path.copyrightCopyright (top) 2008 StromBer, Wikimedia Commons CC BY-SA 3.0; (graph) 2017 Miguel R. Ramirez https://de.wikipedia.org/wiki/Datei:Mammut8Bahn.jpg. Roller Coaster Design Radical Equations and Extraneous Roots AII4 H Solve quadratic inequalities. %PDF-1.5 % triangle with all three angles acute (less than 90). In addition, the velocities along the path are automatically calculated and displayed. Make sure that all graphs or screenshots, include appropriate information, such as titles and labeled axes. It is also explained that the work done by friction forces is what eventually stops the cart, but no quantification is provided for this work along the coasters path. 12), The student describes the nature of forces in the physical world. As if they are engineers, teams compete to create the winning design based on costs and aesthetics. 12), select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems; arc that is formed when segments intersect portions of a circle and create arcs First you need to determine the height of the first hill. Quarter 1 Edgenuity. Edgenuity. parabola vertex: The point where a parabola crosses its axis of symmetry. A mathematician could use this term when explaining to someone else. 9 - Your job is to design your own roller coaster ride. Performance Task Description Let students select and organize the information to include in the presentation-report, guided by the rubric. Alignment agreement: The surface of the cuboid below is 128cm squared. Performance Task Description You have decided to become a structural engineer who specializes in roller coaster design. Free rubric builder and assessment tools. Note: We'll assume that your coaster is a single-car coaster running on a frictionless track. Design, build, and refine a device that works within given constraints to convert one form of energy into another form of energy. The maximum height predicted for parabola 5 is 4.5555 inches. 12), Students will develop an understanding of engineering design. Changing a shape using The extra condition to fulfill is that tangent lines at the joint points must be parallel.copyrightCopyright 2017 Miguel R. Ramirez. For example rearrange Ohms law V IR to highlight resistance R. Roller Coaster Design Worksheet Graphing Radical Functions Radical Equations and Extraneous Roots Solving Equations Containing Two Radicals You are on a team of architects. (Grades Then tell them the answers.) Notice that even when the paths slope changes from positive to negative or vice versa, the friction coefficient and force are always positive. a triangle that has three unequal sides `{,WS?%t?xEkG$(X+4 wKS=5r/ZA=-}Ul.^9 U=NVfiO?vR}xzjXO8$43 `43*? Algebra 1A Homework 4-3 Q7 Patterns and Nonlinear Functions, Algebra 1A Homework 5.7 Questions #4 and 9 - Trend Line and Linear Regression, Algebra 1B Discussion Unit 3 Question 5 - Factor by Grouping, Geometry A Make a Homemade Geometry Compass, Geometry A Homework 3.6 - Construct Parallel and Perpendicular Lines, Geometry A Big Ideas 3.1 - Volleyball Court, Geometry A Big Ideas 3.2 - Equation of CD, Geometry B Lesson 10.3 Question 1 - Area of a Polygon Given the Radius, Geometry B Big Ideas 7.1 - Four Similar Triangles, Geometry B Big Ideas 12.1 Rose Bushes / Sprinkler, Algebra 2A Homework 3.1 Question #7 - Linear Regression, Algebra 2A Homework 3.4 Question #2 - Maximize Objective Function, Algebra 2A Homework 4.3 Question #6 - Quadratic Regression, Algebra 2A Big Ideas 1b - Rectangle and Triangle, Algebra 2A Big Ideas 4c - Arrow and Target, Algebra 2A Big Ideas 7B - Exponent and Log Function Transformations, Algebra 2B Discussion Unit 1 - Race Pilot, Algebra 2B Lesson 8-3 - Restrictions on the Domain, Algebra 2B Homework 8.3 - Pharmacy Mixtures, Algebra 2B Big Ideas 8a - Proportionality, Algebra 2B Big Ideas 10c - Hyperbola and Ellipse, Precalculus B Lesson 6.1 Bearing vs Direction Angle, Precalculus B Lesson 6.2 Question 19 - Find a Vector from Dot Product, Precalculus B Lesson 6.6 - De Moivre's Theorem, Statistics B Unit 7 Normal Distribution Calculators. You are right. 9 - Up to 24 cash back 10212018 Edgenuity for Educators - Course Structures. Formally, a function f (x) has a maximum at x = c, a < c < b, [a, b] a subinterval of the functions domain, if f I > f (x), for a x b. mechanical energy: The capacity of a physical system to change an objects state of motion. Algebra 2 unit 5 performance task Edgenuity - Algebra 2A Performance Task - Roller Coaster Design Open in a new window Some students are having trouble seeing some equations in the description file. Disneys Expedition Everest ride at Walt Disney World in Florida is the most expensive roller coaster, costing $100 million and taking more than six years to create. The shapes of these functions shows that absolute value is involved in their equations.copyrightCopyright 2017 Miguel R. Ramirez. Based on the roller coaster created, the student identifies the appropriate maximum height. Friction was considered in order to predict the above velocities and to design the roller coaster path, but until now, friction has not been explicit. endstream endobj 976 0 obj <>stream Model 1: One plan to secure the roller coaster is to use a chain fastened to two beams equidistant from the axis of symmetry of the roller coaster, as shown in the graph below: You need to determine where to place the beams so that the chains are fastened to the rollercoaster at a height of 25 feet. It is best that the initial roller coaster slope not be steeper than 2.5, otherwise the marble may slide instead of roll. A pizza maker may use this term when making a pizza. To complete Expect that some students may have used a marble as a cart and a flexible material to construct the roller coaster path. the angle subtended at the center of a circle by two given points on the circle. (Grades quadrilateral which has no parallel sides Algebra 2A Performance Task - Roller Coaster Design Edgenuity - Algebra 2A. High school students learn how engineers mathematically design roller coaster paths using the approach that a curved path can be approximated by a sequence of many short inclines. Expendable Cost/Group: US $5.00 Russian Mountains: The oldest roller coaster design and a predecessor to the modern day roller coaster. When two lines are crossed by another line (which is called the Transversal), the pairs of angles. Color the graph blue where the polynomial is All the various up, down and around designs all work because of gravity, inertia and friction. minimum of a function: The smallest value of a function, either within a given range or on the entire domain. For projects that cost so muchlike these world-class roller coastersthe designs and construction are complex and challenging tasks for engineers. this task, please follow these steps: The amusement park you are designing for gave you the following Make, sure to show all of your work and to answer each question as you complete the task. ), Figure 4. Roller Coaster - Mrs. R.'s Pages - IM 2 Assignments and Homework Blog Archive . Formally, a function f (x) has a minimum at x = c, a < c < b, [a, b] a subinterval of the functions domain, if f I< f (x), for a x b. parabola: A conic section formed by the intersection of a vertical cone by a plane parallel to the cones side. Split the pipe insulation in half lengthwise and use glue and tape to join together the split segments (see Figure 14) to make long coaster rails. Although energy cannot be destroyed, it can be converted to less useful formsfor example, to thermal energy in the surrounding environment. Students design, build and test model roller coasters using foam tubing, toothpicks and masking tape. What were the failures? Algebra 1 Performance Task Answers Joomlaxe com. Now, let's look at the roller coaster in Figure 9.7. Then align two perpendicular lines of pegboard holes with the. It is important to use marbles with a diameter that is smaller than the pipe insulations inner diameter because all the calculations are based on using marbles that have only one point of contact with the coaster rail surface so the friction effect is as described in formula (1). Use the pegboard holes to draw points on the cardboard for the integer coordinates of the designed coaster path (D).copyrightCopyright 2017 Miguel R. Ramirez, Figure 16. Then they use simple materials to build and test functional roller coaster models, which gives them the opportunity to address prototype construction problems and the unanticipated details that impact the expected design performance. It always opposes movement and its effect can be measured by evaluating the work it does. (Grades In your school roller coaster projects, you were aware that friction was an important factor. 12), A prototype is a working model used to test a design concept by making actual observations and necessary adjustments. You have 3000 to spend on the booth space and product brochures. The instantaneous velocity is simply the average velocity at a specific instant in time. - your roller coaster ride must have 2. The amusement park you are designing for gave you the following Complete each of the following tasks, reading the directions carefully as you go. pair of adjacent angles formed when two lines intersect either of two angles whose sum is 180 Grade#8, If a=6 and b=4 , find the value of the expression 8a + 7b. endstream endobj startxref These are functions of the position and are always positive. 12), The design needs to be continually checked and critiqued, and the ideas of the design must be redefined and improved. triangle where all three interior angles are equal in measure Demonstrate mathematical ideas orally and in writing. Annual Salaries and Gender. A student doing math problems may use this term. The author expresses his thanks to Tony Gardea, Galena Park High School Principal; Seretha Augustine, Galena Park High School Associate Principal for Curriculum; and Gerard Kwaitkowski, Galena Park High School Math Specialist. 12), Analyze functions using different representations Then, two downward-opening parabolas are placed between them to complete the coasters path. A cartographer may use this term when studying a map. For students with no calculus background, have them sketch their roller coaster paths on graph paper (A) and use an alternate provided spreadsheet (B) to interactively visualize their designs and estimate velocities and friction forces along the path.copyrightCopyright 2017 Miguel R. Ramirez. The student makes connections between multiple representations of functions and algebraically constructs new functions. Second Edition, John Wiley & Sons, Inc., 1995. 9 - (Grades For the parabola with vertex (h3, k3) = (56, 0) and same width as (3), the corresponding equation is: and for the parabola with vertex (h5, k5) = (84, 0), the corresponding equation is: The x-coordinate of the vertices of the downward-opening parabolas is at the middle of the x-coordinates of the vertices of the upward-opening parabolas (see Figure 5). 2. Project support AP Calculus First Semester Project online tutorial for students at Sophia (by the author): https://www.sophia.org/playlists/ap-calculus-first-semester-project, on the following topics: Project support for Excel and PowerPoint: Excel: Get Started with Formulas and Functions. (5 points) Model 1: One plan to secure the roller coaster is to use a chain fastened to two beams equidistant from the axis of symmetry of the roller coaster, as shown in the graph below: 15 Your job is to design your own roller coaster ride. Figure 6. If necessary, follow steps (A to C) to tape small cardboard sheets butted together, which also enables the model to be folded (D) for storage and transport. A parent may use this term when using one with their child. The design begins by defining the initial (highest) roller coaster point (x0, y0) and the slope of the parabola at that spot. Before beginning the activity, administer the pre-quiz to students to provide practice and review in creating differentiable piecewise functions. (Grades the origin of the graph (0;0). 30252015105302010102030 You need to determine where to place the beams so that the chains are fastened to the rollercoaster at a height of 25 feet. HT[O0~'?6q]1& So we are not permitting loops in the designs for this project. Some students are having trouble seeing some equations in the description file. www.teachengineering.org/activities/view/ind-1996-frictional-roller-coaster-design-project-calculus, Search curriculum by Common Core standards, Click to view other curriculum aligned to this Performance Expectation, A Frictional Roller Coaster Pre-Quiz (docx), A Frictional Roller Coaster Pre-Quiz (pdf), A Frictional Roller Coaster Presentation (pptx), A Frictional Roller Coaster Presentation (pdf), Rolling with Friction Calculations Example (xls), Rolling with Friction Calculations No Calculus Example (xls), Rolling with Friction Calculations Example, Rolling with Friction Calculations No Calculus Example, A Frictional Roller Coaster Project Rubric, https://www.sophia.org/playlists/ap-calculus-first-semester-project. In the high school AP Physics C course, students solve some problems involving friction, using the work-energy theorem. one double root (multiplicity of two) and 2 real roots. any polygon with ten sides and ten angles Consider themes andor other aspects that would intrigue teenagers. [3 points]. 9 - 12), Students will develop an understanding of the attributes of design. seven-sided polygon Calculate the speed of your rollercoaster if it stretches 12), Students will develop an understanding of the relationships among technologies and the connections between technology and other fields of study. 6. Recognize the parent graphs of polynomial, exponential, radical, quadratic, and logarithmic functions and . Permit teams to use different kinds of materials, but require students to first inform the teacher about any intended changes/additions. National Center for Families Learning. Be ready with a computer, software and projector to show students the. Your job is to design your own roller coaster ride. An engineer may use this term when thinking of a new invention. Explain the overarching engineering design challenge and the specifics of what students need to do. A vertical reinforcement beam will extend from the upper graph to the lower graph where the two are two feet apart (vertically). angles opposite each other when two lines cross In calculus, a function is continuous at a point x = c if and only if all the next three conditions are met: 1) the function is defined at x = c, 2) the limit of the function at x = c exists, and 3) the limit and the value of the function at x = c are equal. 12), Functions. Roller Coaster Design Graphing Radical Functions, Radical Equations and Extraneous Roots, Solving Equations Containing Two Radicals You are on a team of architects. 0 Courses. A student would use this term when creating a coordinate plane. HTn0}74[ 42AK/Ocm4@aH28EY$..pHD|d$Tqn[.,|=~3wyLc?.BPE$`U?v5}24Y\(C~PaZLg'=I&Ht[51b4vHYCf Z vCZU"oY{G&c#@Zo@J[:kn+$2"73)z*z?mmy (Grades 5. Making Sense: Have students reflect about the science phenomena they explored and/or the science and engineering skills they used by completing the Making Sense Assessment. If so, ask them to briefly describe what they did. two interior angles lying on the same side of the transversal cutting across two parallel lines reason for your answer. It is also known as sliding friction or moving friction, and it is the amount of retarding force between two objects that are moving relative to each other. Rubric title Performance Task-Design a Roller Coaster Car. Engineers Sep 1, 2021 Join us Tuesday, Apr 5th at 2 pm ET to learn about What's New for Back to School '22. Have teams determine the maximum height the marble may reach at the end of parabolas 1-2-3-4-5. A negative friction force value may lead to the absurd case that friction force accelerates the body instead of decelerating it.copyrightCopyright 2017 Miguel R. Ramirez. 9 - Tape them at intervals along and parallel to the sketched path (Figure 16). 9 - Physics, Parts 1 and 2 Combined. (Play some of the three short videos linked in slide 2 about roller coaster construction and computer modeling.). The shape of this particular section of the rollercoaster is a half of a circle. (Grades Design, evaluate, and/or refine a solution to a complex real-world problem, based on scientific knowledge, student-generated sources of evidence, prioritized criteria, and tradeoff considerations. A construction worker may use this term when constructing a building. Curvatures and heights are carefully calculated so that the riding carts can reach the desired velocities.copyrightCopyright (left to right) 2007 tenioman, flickr CC BY-SA 2.0; 2007 Nesnad, Wikimedia Commons CC BY-SA 3.0; 2004, Nick Nolte, Wikimedia Commons (public domain) https://www.flickr.com/photos/tenioman/2074550533 https://commons.wikimedia.org/wiki/File:Rollercoaster-thunderdolphin-japan-aug13-2007.jpg https://commons.wikimedia.org/wiki/File:Millennium_Force1_CP.JPG. D;>3SN17w$[6'hpg/LD Figure 10 shows the graph of the predicted velocities along the path of this design: Figure 10. Notice also that the friction coefficient and the friction force are always considered positive because the friction force always opposes the bodys movement (Figure 12). The height reached by the rolling solid at the end of the last parabola is about 4.56 inches. Georgia standards of excellence curriculum frameworks. Here we go! 2003-2023 Chegg Inc. All rights reserved. this is shown in the diagram as the small purple vertical distance. 12), Illustrate principles, elements, and factors of design. Your job is to design your own roller coaster ride. JJ Ask students to define the initial heights and slopes of their coaster paths, and then use those numbers to find the equation of the first upward-opening parabola. - the ride dives below the ground into a tunnel at least An electrician may use this term when fixing a cable. Start off by building a basic coaster! 9 - The amusement park you are designing for gave Your job is to design your own roller coaster ride. A salesman may use this term when determining the number of products they should order. (R1) https://books.google.com/books?id=xz-UEdtRmzkC&pg=PA198&lpg=PA198&dq=energy+dissipation+in+a+roller+coaster&source=bl&ots=3N9n_vS6HA&sig=yKGlmZOWOrKKzfgw31vSMT_Bq6s&hl=en&sa=X&ved=0ahUKEwibroKfv7jSAhVETCYKHaalCl04KBDoAQgjMAI#v=onepage&q=energy%20dissipation%20in%20a%20roller%20coaster&f=false. Get the inside scoop on all things TeachEngineering such as new site features, curriculum updates, video releases, and more by signing up for our newsletter! If you only have smaller cardboard pieces, it works well to make a 3 x 4-ft backing by taping them together, edge-to-edge, rather than overlapping them. A baker may use this term when making pastries. Roller coasters are the star attractions in amusement parks. A biologist may use this term when experimenting with different chemicals. An engineer could use this term when designing a new invention. 12), Summarize, represent, and interpret data on a single count or measurement variable

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