9.1 Mapping Diagrams
English9.1SpanishMapping DiagramsWhat is a mapping diagram? How can it beSSTATESTANDARDSused to represent a function?MA.6.A.3.61ACTIVITY: Constructing Mapping DiagramsWork with a partner. Copy and complete the mapping diagram.a. Area AInput, x12342xb. Perimeter PInput, xxc. Circumference CInput, rOutput, C1234rd. Volume VInput, hh33Chapter 9Output, P12342366Output, ATables, Graphs, and Functions1234Output, V
EnglishSpanish2ACTIVITY: Interpreting Mapping DiagramsWork with a partner. Describe the pattern in the mapping diagram. Copyand complete the diagram. Find two earlier lessons where you used asimilar function.a. Input, dOutput, P1020300.10.20.30.4b. Input, t12340.550.660.77c. Input, nOutput, Sd. Input, xOutput, M81012Output, A1/23/214/33/29/225/35/215/227/2349/25673. IN YOUR OWN WORDS What is a mapping diagram? How can it be used torepresent a function?4. Construct a mapping diagram that represents a function you have studied.“I made a mapping diagram.”“It shows how I feel about myskateboard with each passing day.”Use what you learned about mapping diagrams to completeExercises 3–5 on page 370.Section 9.1Mapping Diagrams367
English9.1SpanishLessonLesson TutorialsOrdered pairs can be used to show inputs and outputs.Key VocabularyInputsinput, p. 368output, p. 368function, p. 368mapping diagram,p. 368(0, 1)(1, 2)(2, 4)OutputsFunctions and Mapping DiagramsA function is a relationship that pairs each input with exactlyone output. A function can be represented by ordered pairs or amapping diagram.Ordered Pairs(0, 1)Mapping DiagramInputOutput(1, 2)012(2, 4)EXAMPLE1124Listing Ordered PairsList the ordered pairs shown in the mapping diagram.a.InputOutput123436912b.a. The ordered pairs are (1, 3), b.(2, 6), (3, 9), and (4, 12).InputOutput0124023The ordered pairs are (0, 2),(1, 0), (2, 2), and (4, 3).List the ordered pairs shown in the mapping diagram.Exercises 6–81. Input0246368Chapter 9Output121086Tables, Graphs, and Functions2. InputOutput121324
EnglishSpanishEXAMPLEDrawing a Mapping Diagram2Draw a mapping diagram of (0, 4), (2, 6), (3, 5), and (5, 9).List the inputs and outputs in order fromleast to greatest.InputOutput02354569Inputs: 0, 2, 3, 5Outputs: 4, 5, 6, 9Draw arrows from the inputs to their outputs.EXAMPLEInputOutput123415304560Describing a Mapping Diagram3Describe the pattern of inputs andoutputs in the mapping diagram.Look at the relationship between theinputs and outputs. 1 1 1InputOutput123415304560 15 15 15As each input increases by 1,the output increases by 15.3. Draw a mapping diagram of (1, 2), (2, 4),(5, 3), and (8, 1).Exercises 9–174. Describe the pattern of inputs andoutputs in the mapping diagram shown.EXAMPLEInputOutput246812963Real-Life Application4Number ofSongs PlayedTime Onstage(minutes)84510607451490The table shows the number of songs played by four bands at afestival and the amount of time each band played. Use the tableto draw a mapping diagram.Let the number of songs played be the inputsInputand the times onstage be the outputs.Output781014Inputs: 7, 8, 10, 14Outputs: 45, 60, 904560905. WHAT IF? In Example 4, a fifth band plays 12 songs and is onstagefor 70 minutes. Draw a mapping diagram for the five bands.Section 9.1Mapping Diagrams369
EnglishSpanishExercises9.1Help with Homework1. VOCABULARY In an ordered pair, which number represents the input?the output?2. OPEN-ENDED Draw a mapping diagram where the number of inputs isgreater than the number of outputs.6) 39 (- 3) 3 (- 9) 4 (- 1)9 (-Describe the pattern in the mapping diagram. Copy and complete the 25. Input0123456814Output714List the ordered pairs shown in the mapping 28. Input6789Output12Draw a mapping diagram of the set of ordered pairs.29. (1, 3), (5, 7), (8, 10), (14, 16)11. (0, 11), (1, 8), (4, 15), (6, 19)10. (0, 10), (4, 6), (6, 4), (7, 3)12. (1, 0), (2, 0), (3, 0), (4, 2), (5, 2)13. ERROR ANALYSIS Describe and correct the error indrawing a mapping diagram of the set of ordered pairs.(5, 4), (6, 4), (7, 4), (8, 4) Input4Radius (ft)370Area (ft2)212.56328.267153.869254.34Chapter 914. AREA The table shows the radius andapproximate area for four circles. Usethe table to draw a mapping diagram.Tables, Graphs, and FunctionsOutput5678
EnglishSpanishDraw a mapping diagram for the graph. Then describe the pattern of inputs and outputs.3 567 x02468 10 12 14 x0123456789 x18. SCUBA DIVING The normal pressure at sea level is oneatmosphere of pressure (1 ATM). As you dive below sea level,the pressure increases by 1 ATM for each 10 meters of depth.a. Complete the mapping diagram.b. List the ordered pairs. Then graph theordered pairs in a coordinate plane.InputDepthOutputPressure0m10 m20 m1 ATMc. Compare the mapping diagram andgraph. Which do you prefer? Why?30 md. RESEARCH What are common depthsfor people who are just learning toscuba dive? What are common depthsfor experienced scuba divers?40 m50 m19. MOVIES A store sells previously viewed movies. The tableshows the cost of buying 1, 2, 3, or 4 movies.20.2 ATMMoviesCosta. Use the table to draw a mapping diagram.1 10b. Describe the pattern. How does the cost per moviechange as you buy more movies?2 183 244 28The table shows the outputs for several inputs.What do you think the output would be for an input of 200? Explain.Input, x01234Output, y2530354045Write the word sentence as an equation. Then solve.21. The sum of a number x and 7 is 15.SECTION 7.2SECTION 7.322. 3 times a number n is 24.23. MULTIPLE CHOICE Which inequality represents the word sentence?SECTION 8.1“The sum of a number x and 7 is at least 25.”A x 7 25 B x 7 25 C x 7 25 Section 9.1D x 7 25 Mapping Diagrams371
Draw a mapping diagram of (0, 4), (2, 6), (3, 5), and (5, 9). List the inputs and outputs in order from least to greatest. Inputs: 0, 2, 3, 5 Outputs: 4, 5, 6, 9 Draw arrows from the inputs to their outputs. EXAMPLE 3 Descri
a time period. There are seven behavioral diagrams: Use Case Diagrams, Activity Diagrams, State Machine Diagrams, Communication Diagrams, Sequence Diagrams, Timing Diagrams and Interaction Overview Diagrams. UML 2 has introduced Composite Structure, Object, Timing and Interaction Overview diagrams.
node diagrams (N diagrams), node-link diagrams (NL diagrams) and node-link-groups diagrams (NLG diagrams). Each of these diagrams extends the previous one by making more explicit a characteristic of the input data. In N diagrams, a set of objects is depicted as points in a two or three dimensional space; see Figure1a. Clusters are typically .
concept mapping has been developed to address these limitations of mind mapping. 3.2 Concept Mapping Concept mapping is often confused with mind mapping (Ahlberg, 1993, 2004; Slotte & Lonka, 1999). However, unlike mind mapping, concept mapping is more structured, and less pictorial in nature.
Class Diagrams etc. (e.g. Component Diagrams) Dynamic / Behavioral Modeling: capturing execution of the system Use Case Diagrams Sequence Diagrams State Chart Diagrams etc. (e.g. Activity Diagrams) UML Diagrams Models: high-level class relations Components: Class (rectangle) - Upper section: name of the class
Argument mapping is different from mind mapping and concept mapping (Figure 1). As Davies described, while mind mapping is based on the associative connections among images and topics and concept mapping is concerned about the interrelationships among concepts, argument mapping “ is interested in the inferential basis for a claim
Mapping is one of the basic elements in Informatica code. A mapping with out business rules are know as Flat mappings. To understand the basics of Mapping in Informatica, let us create a Mapping that inserts data from source into the target. Create Mapping in Informatica. To create Mapping in Informatica, open Informatica PowerCenter Designer .
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Use Case Diagrams Sequence Diagrams Questions Use Case Diagrams & Sequence Diagrams SE3A04–Tutorial JasonJaskolka Department of Computing and Software Faculty of Engineering McMaster University Hamilton, Ontario, Canada jaskolj@mcmaster.ca October14/15,2014 Jason Jaskolka
