1

Characteristics of HSAPCharacteristics of HSAP

�� Standards basedStandards based

�� 62 Multiple Choice items (1 point each for a 62 Multiple Choice items (1 point each for a

total of 62 points)total of 62 points)

�� Three Integrated Response items (3 points Three Integrated Response items (3 points

each for a total of nine points)each for a total of nine points)

�� UntimedUntimed

�� Scores reported as Level 1(below basic), Scores reported as Level 1(below basic),

2(basic), 3(proficient), or 4(advanced)2(basic), 3(proficient), or 4(advanced)

�� Students scoring at level 1 have not met Students scoring at level 1 have not met

requirements for graduation.requirements for graduation.

What types of items are on the What types of items are on the

HSAP mathematics test?HSAP mathematics test?

•• MultipleMultiple--Choice (1 pt. each)Choice (1 pt. each)

•• Items with four options each will Items with four options each will

assess the content in Number assess the content in Number

and Operations, Algebra, and Operations, Algebra,

Measurement and Geometry, and Measurement and Geometry, and

Data Analysis and Probability.Data Analysis and Probability.

What types of items are on the What types of items are on the

mathematics test?mathematics test?

•• IntegratedIntegrated--Response (3 pts.each)Response (3 pts.each)

•• These items are designed to integrate the These items are designed to integrate the

expectations of Number and Operations, expectations of Number and Operations,

Algebra, Measurement and Geometry, Algebra, Measurement and Geometry,

and Data Analysis and Probability. and Data Analysis and Probability.

•• These questions ask students to show These questions ask students to show

their work and/or write an explanation to their work and/or write an explanation to

support their answers.support their answers.

What materials are students What materials are students

allowed to use during the test? allowed to use during the test?

•• Each student will be given:Each student will be given:

•• a reference sheet with formulasa reference sheet with formulas

•• a sheet of graph paper for scratch a sheet of graph paper for scratch

workwork

•• the test bookletthe test booklet

Can students use calculators Can students use calculators

during the mathematics test?during the mathematics test?

•• Students may use calculators Students may use calculators

during the mathematics test. during the mathematics test.

•• However, the test questions However, the test questions

were written so that they do not were written so that they do not

requirerequire a calculator!a calculator!

2

What kinds of calculators may be What kinds of calculators may be

used?used?�� Test takers may use the following types of Test takers may use the following types of calculators: calculators: �� 44--functionfunction

�� ScientificScientific

�� graphinggraphing

�� Test takers Test takers may notmay not use:use:�� pocket organizerspocket organizers�� Palm PilotsPalm Pilots

�� handheld PCs that use a writing tablet or QWERTY keyboardhandheld PCs that use a writing tablet or QWERTY keyboard

�� calculators that use symbolic manipulation capabilitycalculators that use symbolic manipulation capability�� Casio FX 2.0Casio FX 2.0�� Hewlett Packard HP 40g or 49gHewlett Packard HP 40g or 49g

�� Texas Instruments TITexas Instruments TI--89 or TI89 or TI--9292

�� calculators that talk or otherwise make noise, such as the AudioCalccalculators that talk or otherwise make noise, such as the AudioCalc

The Scoring ProcessThe Scoring Process

�� Multiple choice scoringMultiple choice scoring

•• Computer scored by contractorComputer scored by contractor

�� Integrated response scoringIntegrated response scoring

•• Scores based on rubricScores based on rubric

•• RangefindingRangefinding

•• Scorer TrainingScorer Training

•• Hand ScoringHand Scoring

Integrated Response Scoring Integrated Response Scoring

RubricRubric

3 points3 points�� Addresses all parts of the task appropriately.Addresses all parts of the task appropriately.

�� Provides thorough evidence of the student’s Provides thorough evidence of the student’s knowledge, strategy, and execution (including knowledge, strategy, and execution (including concepts, techniques, and representations) to meet concepts, techniques, and representations) to meet the intent of the task.the intent of the task.

�� May contain execution errors that do not detract May contain execution errors that do not detract from the overall correct completion of the task.from the overall correct completion of the task.

�� Clearly communicates the student’s mathematical Clearly communicates the student’s mathematical thinking.thinking.

Scoring Rubric (cont…)Scoring Rubric (cont…)

2 points2 points�� Addresses most parts of the task appropriately.Addresses most parts of the task appropriately.

�� Provides adequate evidence of the student’s Provides adequate evidence of the student’s knowledge, strategy, and execution (including knowledge, strategy, and execution (including concepts, techniques, and representations) to meet concepts, techniques, and representations) to meet the intent of the task.the intent of the task.

�� May contain execution errors that do detract from May contain execution errors that do detract from the overall correct completion of the task.the overall correct completion of the task.

�� Adequately communicates the student’s Adequately communicates the student’s mathematical thinking.mathematical thinking.

Scoring Rubric (cont…)Scoring Rubric (cont…)

1 point1 point�� Addresses some part(s) of the task appropriately.Addresses some part(s) of the task appropriately.

�� Provides some evidence of the student’s Provides some evidence of the student’s knowledge, strategy, and execution (including knowledge, strategy, and execution (including concepts, techniques, and representations) to meet concepts, techniques, and representations) to meet the intent of the task.the intent of the task.

�� Contains an attempt to accomplish some part of Contains an attempt to accomplish some part of the task with little success.the task with little success.

�� Minimally communicates the student’s Minimally communicates the student’s mathematical thinking.mathematical thinking.

Scoring Rubric (cont…)Scoring Rubric (cont…)

0 points0 points

�� There is no evidence of mathematical There is no evidence of mathematical

knowledge that is appropriate to the intent knowledge that is appropriate to the intent

of the task.of the task.

3

Constructed ResponseConstructed ResponseConstructed Response

78) Lacy’s Department Store marked coats down 40% during a sale.

a) If Janice bought a coat that regularly cost $75.00, what was the sale price of the coat before sales tax? Show your work to support your answer.

Answer:

b) Janice found a coupon for an additional 10% off the sale price. If she used the coupon during the sale, how much did the coat cost before the sales tax was added? Show your work to support your answer.

Answer:

c) If Janice used the coupon and paid sales tax of 6%, what was the total cost of the coat on sale? Show your work to support your answer.

Answer:

Paper Score Notes

A-1 3 In Part A, the student arrives at the

correct answer, with supporting work.

He cross multiplies to find the

discount and then subtracts it from the

regular price. In Part B, the student

has a correct answer, with supporting work; he finds the discount and

subtracts it from the sales price. In

Part C, the student arrives at the

correct answer by taking his Part B

answer, finding the sales tax, and

adding it back to his Part B answer.

Paper Score Notes

A-10 2 In Part A, the student arrives at an

incorrect answer, with supporting work.

He finds the discount, but does not

subtract it from the regular price (error

that detracts). In Part B, the student has

an incorrect answer, with supporting work; he follows through with his Part A

answer ($30), finds the discount but

does not subtract it from the sales price

(error that detracts). In Part C, the

student has an incorrect answer; he

takes his Part B answer ($3), finds the

sales tax, and adds it back to $3.

4

Paper

Score

Notes

A-3 1 The student’s Part A answer and

work are correct. He leaves

Parts B and C blank.

Paper Score Notes

A-4 0 The student’s Part A

answer is incorrect with no

work shown. He leaves

Parts B and C blank.