Math A Component Retest

April 2004

Component 6, Module 1

 

Key to Multiple-Choice Questions

 

(1)

3

(2)

4

(3)

3

(4)

1

(5)

2

(6)

1

 

Rubrics

 

(7)

 

[ 4 ]      The measures of the central angles are indicated correctly and 78, and appropriate work is shown, such as x + x + 2x = 360 and

 

[ 3 ]      Appropriate answers are found and the diagram is drawn and labeled, but one computational error is made.

or

[ 3 ]      The measures of the central angles are indicated correctly and 78, and appropriate work is shown, but the spinner is not correctly divided or not correctly labeled.

or

[ 3 ]      A correct diagram is drawn and 78 is found, but the measures of the central angles are not indicated.

 

[ 2 ]      The measures of the central angles are indicated, but two or more computational errors are made.

 

[ 2 ]      The measures of the central angles are indicated correctly and 78, and appropriate work is shown, but the spinner is not correctly divided and not correctly labeled.

or

[ 2 ]      The measures of the central angles are incorrect, but an appropriate number of blue results is found, and an appropriate diagram is drawn.

or

[ 2 ]      A correct diagram is drawn that includes correctly labeled central angles, but 78 is not found or is found incorrectly.

or

[ 2 ]      78, and appropriate work is shown, but the spinner is not divided or labeled and the measures of the central angles are not given.

 

[ 1 ]      A correct diagram is drawn, such as using symbols to indicate the two 90° angles, but the measures of the central angles are not indicated and the expected number of blue results is not given.

or

[ 1 ]      78, but no work is shown and the spinner is not divided or labeled.

 

[ 0 ]      A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure.

 

(8)

 

[ 4 ]      A correct sample space, such as AB,AM,AT,AJ,BM,BT,BJ,MT,MJ,TJ or a tree diagram, and  or an equivalent probability, and appropriate work is shown.

 

[ 3 ]      Only eight or nine correct pairs are listed, but an appropriate probability is found, based on the incomplete list.

 

[ 2 ]      Permutations rather than combinations are used, resulting in 20 pairs, and an appropriate probability is found, based on these pairs.

or

[ 2 ]      Five to seven correct pairs are listed, but an appropriate probability is found, based on the incomplete list.

or

[ 2 ]      A correct sample space or tree diagram is provided, but no probability or an incorrect probability is found.

or

[ 2 ]      is calculated correctly, and appropriate work is shown, such as  but no sample space or an incorrect sample space is shown.

 

[ 1 ]      Only eight or nine pairs are listed correctly, and no probability or an inappropriate probability is found.

or

[ 1 ]      Three or four correct pairs are listed, but an appropriate probability is found, based on the incomplete list.

or

[ 1 ]      or an equivalent probability, but no work is shown.

 

[ 0 ]      A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure.

 

(9)

 

[ 4 ]      11,232,000 and 1,422,720, and appropriate work is shown, such as  and  – 11,232,000.

 

[ 3 ]      Appropriate work is shown, but one computational error is made.

or

[ 3 ]      Both 11,232,000 and 12,654,720 are calculated correctly, but the difference is not found or is found incorrectly.

 

[ 2 ]      Appropriate work is shown, but two or more computational errors are made.

or

[ 2 ]      Appropriate work is shown, but a conceptual error is made, such as using nine for the number of digits or allowing repeats of digits, but an appropriate difference is found.

 

[ 1 ]      One conceptual error and one computational error are made, but an appropriate difference is found.

or

[ 1 ]      Either 11,232,000 or 12,654,720 is calculated correctly, with appropriate work shown, but no further correct work is shown.

or

[ 1 ]      11,232,000 and 1,422,720, but no work is shown.

 

[ 0 ]      11,232,000 or 1,422,720, but no work is shown.

 

[ 0 ]      A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure.