NEW JERSEY ASSESSMENT OF

SKILLS ANDKNOWLEDGE (NJ

ASK)Parent Information Night:

Grades 6, 7 & 8

Mathematics

TESTING DATES AND TIMING• The NJ ASK 7 & 8 will be administered

on April 23-26, 2012o For grade 8, the Mathematics portion of the

test will be on April 25th only. Testing will last 2 hours, 13 minutes.

o For grade 7, the Mathematics portion of the will be given on April 25th and 26th. Testing will last 1 hour, 4 minutes and 1 hour, 9 minutes, respectively.

The NJ ASK 6 will be administered on April 30- May 3, 2012o For grade 6, the Mathematics portion of the

will be given on May 2nd and 3rd. Testing will last 1 hour, 4 minutes and 1 hour, 9 minutes, respectively.

NJ ASK 6, 7 & 8 – MATH OVERVIEWThe NJ ASK assess 5 Core Curriculum

Content Standards in Mathematics:• 4.1 Number/Numerical Operations• 4.2 Geometry and Measurement• 4.3 Patterns and Algebra• 4.4 Data Analysis, Probability, and

Discrete Mathematics• 4.5 Mathematical Processes

4.5 MATHEMATICAL PROCESSES• Problem Solving• Communication• Connections• Reasoning• Representations • Technology

TYPES OF QUESTIONSThere are three types of questions:• Multiple choice (MC) MC questions are

objective and do not require scoring by trained professionals.o the students will choose one answer from

four choices. o Darken a circle for correct answer in answer

booklet.o Since many modern calculators perform

calculations using the standard algebraic order of operations, these questions may or may not allow the use of a calculator.

EXAMPLE OF A MULTIPLE CHOICE QUESTION

Use the floor plan to find the minimum number of square yards of

carpeting needed to carpet the entire floor from wall to wall.

8 ft

10 ft

12 ft 15 ft

a. 26 b. 27 c. 80 d. 240

EXAMPLE OF A MULTIPLE CHOICE QUESTION

Use the floor plan to find the minimum number of square yards of

carpeting needed to carpet the entire floor from wall to wall.

8 ft

10 ft 8 X 15

10 X 12 120

12 ft 120 15 ft

a. 26 b. 27 c. 80 d. 240

EXAMPLE OF A MULTIPLE CHOICE QUESTION

Use the floor plan to find the minimum number of square yards of

carpeting needed to carpet the entire floor from wall to wall.

8 ft

10 ft 8 X 15

10 X 12 120

12 ft 120 15 ft

a. 26 b. 27 c. 80 d. 240

• Short Constructed Response (SCR) allow students to show their understanding of mathematical procedures for certain types of problems that a multiple choice format prevents.o No answer choices.o Answers written on a numbered line in

answer booklet.o SCR items are also able to test higher levels

of understanding and cognitive development

• Extended Constructed Responses (ECR) allow the children to express what they know about each question in their own words. o Students may present their response using

diagrams, graphics, and/or pictures.o These questions may or may not allow the

use of a calculator.

EXAMPLE OF ECR QUESTION

The mean, median and mode are all equal for

the set { 3,4,5,8,x }. What is the value of x?

Describe how you got your answer.

EXAMPLE OF ECR QUESTION

The mean, median and mode are all equal for

the set { 3,4,5,8,x }. What is the value of x?

Describe how you got your answer. There is a mode, so the value of x must

be equal to one of the given numbers

EXAMPLE OF ECR QUESTION

The mean, median and mode are all equal for

the set { 3,4,5,8,x }. What is the value of x?

Describe how you got your answer. There is a mode, so the value of x must

be equal to one of the given numbers Try 3,3,4,5,8 mode ≠ median X

EXAMPLE OF ECR QUESTION

The mean, median and mode are all equal for

the set { 3,4,5,8,x }. What is the value of x?

Describe how you got your answer. There is a mode, so the value of x must

be equal to one of the given numbers Try 3,3,4,5,8 mode ≠ median X Try 3,4,4,5,8 mode = median ≠ mean

X

EXAMPLE OF ECR QUESTION

The mean, median and mode are all equal for

the set { 3,4,5,8,x }. What is the value of x?

Describe how you got your answer. There is a mode, so the value of x must

be equal to one of the given numbers Try 3,3,4,5,8 mode ≠ median X Try 3,4,4,5,8 mode = median ≠ mean

X Try 3,4,5,5,8 mode = median = mean The value of x is 5.

SCORING RUBRIC FOR ECRIN “EVERYDAY” TERMINOLOGY 3-Point Response

o Everything in right 2-Point Response

o Something is wrong 1-Point Response

o Something is right 0-Point Response

o Nothing is right.

CALCULATOR USAGE FOR GRADES 6, 7 AND 8 Part 1 – Short Constructed Response

o Non-calculator active for all students regardless of programmatic affiliation

Part 2 and 3– Multiple Choice and Extended Constructed Response (ECR) items. o Non-calculator active for all students; however,

students classified with a specific disability that limits him or her from calculating mathematically may use a calculator and/or manipulatives (i.e., abacus, number line, counting chips)

Part 4, 5 and 6 – Multiple Choice and Extended Constructed Response (ECR) items. o Calculator active for all students; classified

students may also use manipulatives (i.e., abacus, number line, counting chips)

MATHEMATICS: POINTS BY STANDARD

SCORINGNJ ASK 6, 7 & 8 contains:• 32 MC items• 3 ECR item• 8 SCR items• MC and SCR items are worth 1 pt.• Each ECR is worth 3 points.• Total raw points possible: 49 points

(field test items are not included in the abovecounts)