CPIs:
4.1.4
4.6.14
4.8.11
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 |
KNOWLEDGE:
The student should have a conceptual understanding
of:
- Equivalent and non-equivalent fractions
- Ratio
- Proportion
- Percent (less than, greater than, or equal to 100%)
The student should be able to:
- Solve proportions
- Change from a fraction or decimal to a percent and
from a percent to a fraction or decimal
PROBLEM-SOLVING SKILLS:
In problem settings, using abilities that comprise
the power base, the student should be able to:
- Illustrate and model ratios, proportions, and percents
in real-life situations
- Compare effects of percent increase and percent
decrease in price of objects where sales tax is applicable
- Solve a variety of problems using proportions and
percents
|
Sample SC
Item
Of a group of people polled, 55% favored chocolate frozen
yogurt over vanilla. If 330 people favored chocolate,
how many people favored vanilla?
(Answer: 270)
Sample OE Item
The original ticket price of a shirt is $25.99. During
a clearance sale, this shirt is reduced by 40% of the
ticket price; then 25% of the reduced price is taken
off at the cash register.
- Rounded to the nearest penny, what is the price
paid by the customer?
(Answer to first bullet: $11.69 or
$11.70)
- What price would the customer have paid if this
shirt were sold at a one-time reduction of 65% from
the original price?
- Why didn't the store simply sell this shirt at 65%
off the original sticker price?
Sample MC Item
A car was sold at a discount of $700, which represented
5% of the original price. What was the original price?
|
a.
|
$350 |
|
b.
|
$1,400 |
|
c.
|
$3,500 |
|
*d.
|
$14,000 |
Sample OE Item
Bob has applied for a job as a salesperson. His
application was accepted and reviewed, and options for
the position were offered.
Monthly Salary Options
Plan A: $1000 + 5% of monthly
sales
Plan B: 10% of monthly sales
|
Sales for the prior salesperson were:
| January: |
$40,000 |
| February: |
$30,000 |
| March: |
$50,000 |
| April: |
$60,000 |
Based on this information,
- Which salary option would Bob select if he decides
to accept the job?
- Explain your answer.
Sample SC Item
Find the average rate of speed for the entire trip if
a car travels for one hour at 30 mph and two hours at
36 mph.
(Answer: 34 mph) |
