CPIs:
| 4.12.1 |
4.12.10 |
| 4.12.2 |
4.12.11 |
| 4.12.3 |
4.12.18 |
| 4.12.4 |
4.12.19 |
| 4.12.5 |
4.12.21 |
| 4.12.9 |
4.13.16 |
Power Base:
4.1 Problem Solving
4.2 Communication
4.3 Connections
4.4 Reasoning
4.5 Tools & Tech.
4.8 Numerical Oper.
4.9 Measurement
4.10 Estimation
4.16 Excel. & Equity
Question Types:
Multiple Choice (MC)
Short Constructed
Response (SC)
Open Ended (OE)
Technology:
Calculator
Manipulatives:
Spinners
Number cubes
Coins
Cards
Ruler
Compass
Graph paper
Protractor |
KNOWLEDGE:
The student should have a conceptual understanding
of:
- Population
- Sample
- Biased
- Unbiased
- Measures of central tendency
- Mean
- Median
- Mode
- Other statistical measures
- Range
- Rank
- Frequency
- Data displays
- Histograms
- Pictographs
- Bar graphs
- Circle graphs
- Line graphs
- Tables
- Lists
- Charts
- Matrices
- Spreadsheets
- Line plots
The student should be able to:
- Determine why a sample is biased or unbiased
- Determine the size of a sample
- Determine a method of gathering data
- Use chance devices (e.g., spinners, number cubes,
coins, and cards) to generate data
- Display data
- Use addition of matrices to manipulate data
- Determine mean, median, mode, and range of a set
of data
PROBLEM-SOLVING SKILLS:
In problem settings, using abilities that comprise
the power base, the student should be able to:
- Design an experiment
- Formulate a question
- Choose a population
- Select an unbiased sample
- Formulate an hypothesis
- Collect, organize, and analyze data and make predictions
- Select and use appropriate data displays
- Select an appropriate measure of central tendency
or other statistical measure to describe data
- Make inferences and evaluate arguments based on
an analysis of data
|
Sample MC Item
The chart below shows the numbers of students in a
homeroom that voted for each student council candidate.
If this data were drawn in a circle
graph, approximately how many degrees in the central
angle of the sector of that circle would represent
Tiko's votes?
Sample MC Item
Wildwood Bookstore and North Wildwood Bookstore plan
to merge. Their final inventories are represented
by the matrices below, with row 1 indicating hardcover
books and row 2 indicating paperbacks. The three columns
represent non-fiction, fiction, and reference books,
respectively.
| A= |
|
6270
|
1670
|
1890
|
|
|
B= |
|
5340
|
4220
|
1780
|
|
|
2940
|
2810
|
2080
|
|
3050
|
3100
|
2810
|
What would be the total inventory of reference books
for the new company formed by the merger?
| a. |
3,970 |
* b. |
8,560 |
c. |
16,790 |
d. |
37,960 |
Sample OE Item
A fair spinner has four congruent regions (with equal
areas) on its face. They are labeled A, B, C, and D.
The spinner is spun 20 times by each member of a class
of 24 students. The results are tallied (counted) and
then combined.
Assume that the class obtained the expected
results when they conducted the experiment.
- Make a bar graph illustrating the combined class
results.
- Explain why an individual student's results might
be different from the class results.
- If the experiment were conducted again, with the
regions A, B, C, and D having central angles of 45°,
90°, 90°, and 135° respectively, what
might you expect the results to be?
Sample OE Item
News reporters love to make estimates of crowds at public
events like political rallies, parades, and festivals.
For example, television announcers reported that on
the 4th of July in 1994 there were 350,000 people attending
a concert and fireworks display in front of the Capitol
Building in Washington, DC.
Imagine that the picture below represents a crowd gathering
for a rally.
- About how many people attended the rally?
- Explain the method you used to arrive at your answer.
|
