Mathematics Curriculum Guide

Statistics and Probability

Analysis

In the Area of: Statistics & Probability

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Apply data to make predictions about graphs. - Provide students with a set of 5 graphs and 5 scenarios. Provide a scale set of 5 graphs with data.

- Introduce the experiment. also be sure to have plenty of goldfish crackers available.

- Connect a graphic display to data

- Develop oral skills to defend their work.

- Do catch and release experiment with Pepperidge Farm Goldfish.

Oral presentation to class of findings. Debate the questionable matches. Match the graphs to the scenario, working in pairs, match the graph to the measures of central tendency. - Activity Based Statistics - Springer, p. 12-16.

- Activity Based Statistics - Springer, pp. 17-20.

- More Than Graphs.

Analysis

In the Area of: Statistics & Probability

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Create, interpret discrete probability distributions.

 

Pascal Triangle Activities. Distribute data sheets and materials.

 

- Recognize Probability Pattern as they apply to Pascal Triangle.

- Express in written form this connection.

 

 

Mini project on sports start draft:
Students their choose favorite sport, research the probability and statistics.
Work in pairs, completing the various tables. Detect Probability with Manipulations - Lombard and Fulter, pp. 43-48.

 

Analysis

In the Area of: Statistics & Probability

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Apply the concept of a random variable to generate & interpret probability distributions, including binomial, uniform, normal, and chi square.

 

 

Stringing Student Along- Will cut random lengths of string, place in bags for each group. Select 10 pieces of string from bag. Record data. Return string to bag. Do it again. Analyze capture-recapture data collection. Apply gathered data to distributive tests.

 

Data presentation made graphically and orally to class. Activity Based Statistics - Springer, pp. 105-106.

 

Analysis

In the Area of: Statistics & Probability

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Identify role of sampling in statistics. Random Rectangles- Provide hand cut with 100 rectangle group pictures. - Select a judgmental sample, analyze.

- Select a random number generated sample, analyze/distinguish the differences in a judgmental US random generated sample.

 

Graphic display of class difference in data. Discussion of findings.

 

Activity Based Statistics - Springer, pp. 99-104

 

Analysis

In the Area of: Statistics & Probability

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Transform data to aid in data interpretation and predictions situations.

 

Provide copies of USA Today graphic displays. Directions will be given as to approach. - Recognize how the information is interpreted based on raw data and statistics methodology

- Do project on collecting graphs, interpreting and restarting them in other forms.

 

Presentation of work will be presented to class orally. Written report will be given to teacher. Work their way backward from graph, recreating the data, sampling method, etc., that was used on a different set of graphs of their choosing. Functions, Statistics, Trigonometry.

 

Analysis

In the Area of: Statistics & Probability

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Design an experiment in order to gather data. Gummy Bears In Space- Provide materials and very sketchy description of experiment. Design a method of launching gummy bears from two positions and two locations. They should recognize that valid data can be collected only if conditions are uniform. Groups will be responsible for the given problem and designing a valid experiment.

 

Design a method of launching gummy bears from other positions and two locations

 

Activity Based Statistics - Springer, pp. 185-189.

 

Analysis

In the Area of: Statistics & Probability

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Extend the normal curve and its properties relative to data assumed to be normally distributed.

 

Is Shirt Size Related to Shoe Size? :Provide materials to measure and instructions for activity. Select a sample. Measure to gather data. Scatter-plot data. Recognize differences in data based on normal curve vs. abnormal distribution.

 

Display group's graphics - use for discussion.

 

Adapt data to different graphic styles.

 

 

Activity Based Statistics - Springer, pp. 206-211.

 

 

Analysis

In the Area of: Statistics & Probability

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Apply the concept of random variables to interpret probability. (including binomial, uniform, normal, and chi-square). Distribute teacher generated sample bags and store bought keys and data sheet Determine if sample size is an important factor in confidence and probability.

 

Data will be saved and used for a variety of other activities.

 

Receive data on color and frequency. Claw data will be generated for large size sample. Workshop Statistics - Rossman, pp. 203-205

 

Analysis

In the Area of: Statistics & Probability

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Explain bias in data collecting and interpretative Estimating the Total Restaurant Bill: Provide menus for initial activity, additional. Visually explore the bias concept in sampling. Create graphic displays of data.

 

Oral presentation to class. Mini-project using same method but different menus.

 

Order two meals, estimate cost. Find estimate error. Generate class results, analyze and explain patterns of error.

 

 

Activity Based Statistics - Springer, pp. 144-147.

Analysis

In the Area of: Statistics & Probability

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Analyze a two by two data table.

 

 

Jumping Frogs: Will provide origami paper in two weights. and two sizes.

 

Compile and analyze data in a two by two data tables. Explore the concept of interaction of data.

 

In pairs, students will create their own experiment for two by two.

 

Follow directions and make on origami frog. Frogs will be launched to compare distance.

 

Activity Based Statistics - Springer, pp. 175-181.

 

Analysis

In the Area of: Statistics & Probability

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Collect, organize analysis data into various graphs including box plots.

 

 

- Getting to know the Class.

- A Living Box Plot: Provide sheets and instructions to the class

- Fill in the survey and compile the data into categories. Recognize the differences and similarities.

- Take data and create a large scale box plot.

- Chart summarizing class data collected.

- Participation in large box plot.

 

Perform additional activities comparing the various types if graphs and explaining the best uses for box plots.

 

Activity Based Statistics - Springer, pp. 3-5

Analysis

In the Area of: Statistics & Probability

12

 

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Design and carry out a final project relating the year's topics. Putting It All Together - Provide directions for a data collection and analysis project.

 

Demonstrate how all components of a statistical study come together. Written paper is submitted with graphic displays. Findings are presented orally to class. Design sample, select sample group, collect data, use data in all applicable statistical tests, summarize and display results.

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