I leave some time at the end of class for students to think about the ways they are working with multiple representations. Which equation best describes the relationship between the corresponding values. Multiple representations displaying top 8 worksheets found for this concept. Lui has started the problem by using the formula for the area of a rectangle. Multiple representations of functions worksheets kiddy math. Traditionally, students struggle to connect the textbook definition of a function to its multiple views representations on screen. There are 16 equations provided on a separate student recording sheet with an example of how to group the multiple representations. For example, the format of a graph would include attributes such as lines, labels, and axes. Multiple representations of quadratic functions in math 1, you completed two multiple representations webs, one for the family of linear functions and one for the family of exponential functions. Students must analyze the different representations, then answer questions comparing rates of change and initial value as well as do some problem solving with the functions. A teaching experiment with casyopee jeanbaptiste lagrange, laboratoire didirem, universite paris 7, france tran kiem minh, laboratoire didirem, universite paris 7, france abstract. There are four levels and each level has a checkpoint question. Make a function table to show the relationship between the number of filters f and the total number of.
Lesson 1 introduction to functions minilesson page 8 problem 5 worked example determine functional relationships using multiple representations the table below shows 3 different representations for two relationships. Express the relation above as a a set of ordered pairs. Some of the worksheets for this concept are table write the equation in slope intercept, unit 6 grade 9 applied multiple representations using, research based work on using multiple, exploring multiple representations in elementary school. Students may be familiar with some of these representations from previous courses, but a mapping diagram should be new to algebra students hence the definition. Using multiple representations to solve problems a hotel manager knows that the number of rooms that guests will rent depends on the price. Furthermore, multiple representations play an important role in the development. F2 this worksheet gives four sets of word problems with linear situations in different representations, including verbal descriptions, graphs, tables, and equations.
Hence, professional knowledge and views of mathematics teachers regarding the use of multiple representations certainly merit attention. Students must compare four different candy stores valentines specials to determine their rates and make recommendations for different customers. Write an equation to find g, the total number of gallons cleaned by any number of filters f. Multiple representations use the information given to complete the other representations of the linear function. Name date period homework practice multiple representations of functions water one water filter will clean 40 gallons of water. The first row of each table contains the original function. Create a 2graph, an 1equation, and a 3verbal description to represent the height of the arrow with relation to its horizontal distance from the archer. Coordinating multiple representations of polynomials. The table shows the height, in feet, of an arrow in relation to its horizontal distance from the archer. Why use multiple representations in the mathematics classroom. In this paper, it is claimed that by identifying the functions that they can serve, many of the con. The functions of multiple representations shaaron ainsworth esrc centre for research in development, instruction and training, school of psychology, university park, university of nottingham, nottingham, ng7 2rd, uk email.
I am really not looking for anything specific here except to determine students understanding of the square root symbol and why the input for that symbol. So for one of our first tinspire activities, i designed an exploration which utilized dynamically linked representations to help students make connections between the multiple views of. Linear equations multiple representations triples activitythis is a great way for students to practice identifying multiple representations of linear relationships. Matching representations reporting category patterns, functions, and algebra. Students will need the bulk of class today to work on their posters. Comparing linear functions in multiple representations. Name date period homework practice multiple representations. The hotels revenue depends on both the price and the number of rooms rented. Comparing linear functions in multiple representations worksheet freebie students identify slope when it is presented 5 different ways in this slope activity. Examine the four representations of the original function, and then complete the representations in the second row by applying the change indicated. Multiple representations of functions displaying top 8 worksheets found for this concept some of the worksheets for this concept are table write the equation in slope intercept, multiple representations of equations what we know, unit 6 grade 9 applied multiple representations using, multiple representations in 8th grade algebra lessons are, reteach.
Pdf why use multiple representations in the mathematics. The major focus of this unit is that students build an understanding of the key features and the connection between multiple representations. This cute worksheet is a valentines themed problemsolving activity that requires students to analyze linear functions in multiple representations. Lui knows that the area of a rectangle is 225 cm2 and the length of the rectangle is 45 cm. This worksheet includes multiple representations such as tables, graphs, equations, and mapping diagrams. Dealing with multiple representations and their connections plays a key role for learners to build up conceptual knowledge in the mathematics classroom. The table shows the hotels average nightly revenue based on room price. Then answer the questions at the bottom of the page.
Multiple representations displaying top 8 worksheets found for this concept some of the worksheets for this concept are table write the equation in slope intercept, unit 6 grade 9 applied multiple representations using, multiple representations of lines work, research based work on using multiple, multiple representations in 8th grade algebra lessons are, multiple. Multiple representations of functions multiple representations. Pdf on jan 1, 2001, alex friedlander and others published promoting multiple. Multiple representations of functions practice name what is. The educational value of multiplerepresentations when learning. Fin ally, write a statement comparing the original representation and the new representation. The goal of this task is that students represent functions in multiple representations.
Different representations can be used to solve problems about nonlinear functions. Mathematical models definition theprocessoftranslatingarealworldproblemintoausable. First, they have to understand the semantics of each representation. This chapter introduces the theoretical perspectives associated with multiple external representations mers ainsworth, comput educ, 3323. Multiple representations of quadratic functions in cpm core connections integrated i, you completed two multiple representations webs, one for the family of linear ftnctlons and one for the family of exponential functions. Pdf why use multiple representations in teaching maths. A challenging handson studentcentered activity in which students work together to match cards across three different representations of an important mathematical concept. Functions show up in our daily lives more often than we realize. Coordinating multiple representations in a reform calculus. Students will build an understanding that certain key features transcend across all the functions and some key features are specific to certain functions. They must learn the format and operators of the representations. Ninth grade lesson multiple representation of functions. Multiple representations matching activitygreat activity to reinforce multiple representations of linear functions. Choose the correct answer to each multiple choice question below.
Jun 12, 2014 lesson 1 introduction to functions minilesson page 8 problem 5 worked example determine functional relationships using multiple representations the table below shows 3 different representations for two relationships. Dirac deltas in generalized orthonormal coordinates. Multiple representations and multimedia can support learning in many different ways. Use the data from the tables on the previous page to make graphs representing the total amount of money that julie and christina will save each month. Pdf the functions of multiple representations shaaron. Ninth grade lesson multiple representations linear functions. Casyopee is an evolving project focusing on the development of both soft. An exploratory analysis of the representations of functions in the. In particular, investigating such views of preservice teachers affords identifying corresponding needs for. This lesson will cover linear functions with positive and negative slopes and various. Pdf the functions of multiple representations yuski. The general case for multiple representations in mathematics education hardly needs defending anymoremost of us have long been persuaded of the central place of multiple representations in problem solving and in the understanding of mathematical ideas thorough discussions can be found in, for example, goldin, 2002. This multiple representations practicetest was created by pupsaroni puzzles for use in an algebra 1 classroom during a functions unit.
And im totally fine with that because they are having amazing conversations and challenging each other to understandnot just move on. The functions of multiple representations sciencedirect. Leave any comments, questions, or suggestions below. Students were able to use the multiple representations page to see how the multiple representations relate to each other. In this paper, it is claimed that by identifying the functions that they can.
The table shows the height of a rocket after it is fired. In order to examine the theory based structure of the corr esp onding questionnaire instrument cf. Jan 28, 2015 for the love of physics walter lewin may 16, 2011 duration. For students to be successful they must be able to understand and interpret multiple representations of functions in order to. For the love of physics walter lewin may 16, 2011 duration. Multiple representations and multimedia can support learning in many dierent ways. Ainsworths 2006 deft designs, functions, tasks framework integrates research on teaching and learning with multiple external representations. In this paper, it is claimed that by identifying the functions that they can serve, many of the conflicting findings arising out of the existing evaluations of multirepresentational learning environments can be explained.
I will use this functional taxonomy to illustrate the advantages of multiple representations used in the simquest and. You discovered methods to help you move from one representation to another. Use one color for julies graph and another color for christinas graph. Multiple representations and multimedia can support learning in many di erent ways. In this lesson, we will go over different ways of representing a function using function tables, equations, and graphs.
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