CPIs:
4.7.18
4.14.3
4.14.5
4.14.8
4.14.10
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:
Graph paper
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KNOWLEDGE:
The student should have a conceptual understanding
of:
- Iteration
- Recursion
- Growth (e.g., compound interest,
bacteria, etc.)
- Fractals
- Algorithms
- Flow Charts
The student should be able
to:
- Use recursive and iterative
processes
- Construct a specified stage
of a simple fractal
- Execute an algorithm
PROBLEM-SOLVING SKILLS:
In problem settings, using abilities that comprise
the power base, the student should be able to:
- Apply recursive processes
to devise game strategies and to find solutions to
real-life situations (e.g., compound interest)
- Analyze the behavior of iterative
processes using appropriate technology
- Construct an algorithm to
perform a given task
- Construct a flow chart for
an algorithm
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Sample
SC Item
Find the Starting number.
(Answer: 6)
Sample SC Item
The diagrams below show stages 0, 1, and 2 for a fractal
tree. Draw the next stage.
Sample SC Item
Draw the next stage in this fractal.
Sample OE Item
Place amount of money in here.
Amount of money after interest
is added.
Suppose the machine
above finds the interest (rate 5%) on the amount input
and adds it to the amount that was entered. If the
amount in a person's bank account is placed in the
machine at the end of every year, find the total amount
in an account after 5 years if $1000 was deposited
in a new savings account at the start of a year and
no additional money other than the interest was deposited.
There were also no withdrawals during this period.
(Answer: $1276.28)
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