Mathematics Curriculum Guide
Statistics and Probability
Analysis In the Area of: Statistics & Probability |
||||||
| 1
|
|
|
|
|
|
|
| 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 |
||||||
| 2
|
|
|
|
|
|
|
| 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.
|
|
Work in pairs, completing the various tables. | Detect Probability with Manipulations -
Lombard and Fulter, pp. 43-48.
|
|
Analysis In the Area of: Statistics & Probability |
||||||
| 3
|
|
|
|
|
|
|
| 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 |
||||||
| 4
|
|
|
|
|
|
|
| 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 |
||||||
| 5
|
|
|
|
|
|
|
| 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 |
||||||
| 6
|
|
|
|
|
|
|
| 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 |
||||||
| 7
|
|
|
|
|
|
|
| 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 |
||||||
| 8
|
|
|
|
|
|
|
| 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 |
||||||
| 9
|
|
|
|
|
|
|
| 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 |
||||||
| 10
|
|
|
|
|
|
|
| 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 |
||||||
| 11
|
|
|
|
|
|
|
| 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
|
|
|
|
|
|
|
| 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. | ||
Return to Analysis Curriculum Preface
Return to Analysis Curriculum Guide
Return to Mathematics Curriculum Frameworks