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Data Analysis, Probability, and Discrete Math
Green text represents Arizona Standard matched.
Maroon text represents NWEA Learning Continuum Goal matched.
MAP Learning Continuum--Mathematics Statistics and Probability
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Concept 1 |
Shedding Light on the Subject - (HS) In this multi-day project, the students will explore the development of graphic representations describing the decay of light passing through water. (Strand 2: Data Analysis, Probability, and Discrete Mathematics, Concept 1: Data Analysis (Statistics), PO 4,7,8,9)
Data Collection: Numerical and Categorical Data - (3rd/INT) In this multi-day project, the students will formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them. (Strand 2: Data Analysis, Probability, and Discrete Mathematics, Concept 1: Data Analysis (Statistics))
Eye to Eye - (PRI) Students will learn to pose mathematical questions about themselves and their surroundings through class and small group discussion. They will gather data about eye color from their classmates and another group of students within their school. With this data they will then compare data sets and refine questions. (Strand 2: Data Analysis, Probability, and Discrete Mathematics, Concept 1: Data Analysis (Statistics))
Sampling Rocks - (PRI) Students will learn about data collection and sampling through an investigation of rocks found in the schoolyard. (Strand 2: Data Analysis, Probability, and Discrete Mathematics, Concept 1: Data Analysis (Statistics))
Uncertainty - (INT) The purpose of this lesson, from Science NetLinks, is to look at the questions that can be posed and answered by examining data distribution; to look for circumstances that might bias the results of a study. (Strand 2: Data Analysis, Probability, and Discrete Mathematics, Concept 1: Data Analysis (Statistics))
Create a Graph - (INT-MS) An interactive site that allows students to quickly and easily plug in data and produce colorful graphs. Includes circle (pie), line, and bar graphs. Graphs are printable. (Strand 2: Data Analysis, Probability, and Discrete Mathematics, Concept 1: Data Analysis (Statistcs), PO 2)
Math Cats: Bag of Mice - (INT+) Little mice fall through a maze to build a bell shaped curve. Process can be frozen for discussion and refreshed to start over. Discussion questions are included. (Strand 2: Data Analysis, Probability, and Discrete Mathematics; Concept 1, Data Analysis (Statistics))
Combinations - (PRI-MS) This Illuminations lesson plan focuses on combinations, a subject related to the probability-and-statistics strand of mathematics. Through hands-on activities, students will be encouraged to discover all the combinations for the given problem using problem-solving skills that include collection of organized data and drawing conclusions. The use of higher-level thinking skills such as synthesis, analysis, and evaluations is the overall goal. (Strand 2: Data Analysis, Probability, and Discrete Math Concept 1: Data Analysis (Statistics))
Exploring Histograms - (MS) Students use an interactive data analysis tool to explore histograms and examine how various statistical functions such as mean, median, and standard deviation depend on the choice of data. The link opens the teacher page. There is a link to go to the student version, which students would use in the classroom or a lab. (Strand 2: Data Analysis, Probability, and Discrete Math Concept 1: Data Analysis (Statistics))(PO1&&5)(220-231)
Dinasaur Math - (INT) Students research dinosaur statistics on the Internet and then calculate averages of heights, weights, etc. (Strand 2: Data Analysis, Probability, and Discrete Mathematics Concept 1: Data Analysis (Statistics))
Problem Solving: Dealing With Data In the Elementary School - (INT) This activity is a project based unit on statistics. It furnishes a vehicle for problem solving through real data collection and analysis. Students use the mean, mode and median to analyze their data and use graphs to represent their findings. (Strand 2: Data Analysis, Probability, and Discrete Mathematics Concept 1: Data Analysis (Statistics))
Comparing Properties of the Mean and the Median - (MS) The interactive tool allows students to see the effect of changing data on the mean and median of a set of data. The link opens a teacher page. Students can use the stand-alone applet while the teacher directs the activity. (Strand 2: Data Analysis, Probability, and Discrete Mathematics Concept 1: Data Analysis (Statistics))
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Concept 2 |
Simulating Probability Situations Using Box Models - (MS/HS) This interactive lesson allows students to explore the relationship between theoretical probability and experimental probability. The link opens the teacher page. There is a link to go to the student version, which students would use in the classroom or a lab. (Strand 2: Data Analysis, Probability, and Discrete Math Concept 2: Probability)
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Concept 3 |
| Population Changes in a Trout Pond - (HS) This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. (Strand 2: Data Analysis, Probability, and Discrete Math, Concept 3: Discrete Mathematics: Systematic Listing and Counting) |
Concept 4 |
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