Massachusetts Grade 10 Math Tests: Released Computer & Paper Items, Lecture notes of Mathematics

Information about each released item from the Massachusetts Computer-Based and Paper-Based Grade 10 Mathematics Tests, including reporting category, standard(s) covered, item type, item description, and correct answer (for selected-response items only). The paper-based items were adapted from the computer-based items and tested the same Mathematics content and assessed the same standard.

Typology: Lecture notes

2021/2022

Uploaded on 08/01/2022

hal_s95
hal_s95 🇵🇭

4.4

(655)

10K documents

1 / 16

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
1
Computer-Based Released Items
Grade 10 Mathematics
Spring 2019
The spring 2019 grade 10 Mathematics test was administered in two primary formats: a computer-based
version and a paper-based version. The vast majority of students took the computer-based test. The paper-
based test was offered as an accommodation for students with disabilities who are unable to use a computer,
as well as for English learners who are new to the country and are unfamiliar with technology.
The Department of Elementary and Secondary Education is releasing items from both versions of the test to
provide information about the knowledge and skills that students are expected to demonstrate.
Released items from the computer-based test are available online at
mcas.pearsonsupport.com/released-items. The computer-based released items are collected in a mini
test called an ePAT (electronic practice assessment tool). Items in the ePAT are displayed in
TestNav 8, the testing platform for the computer-based tests.
Released items from the paper-based test are available in PDF format on the Department’s website
at www.doe.mass.edu/mcas/testitems.html.
This document provides information about each released item from the computer-based test, including:
reporting category, standard(s) covered, item type, item description, and correct answer (for selected-
response items only). Scoring rubrics are also provided for released constructed-response items.
A Note about Testing Mode
Most of the operational items on the grade 10 Mathematics test were the same, regardless of whether a
student took the computer-based version or the paper-based version. In places where a technology-enhanced
item was used on the computer-based test, an adapted version of the item was created for use on the paper
test. These adapted paper items were multiple-choice, multiple-select, or short-answer items that tested the
same Mathematics content and assessed the same standard as the technology-enhanced item.
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff

Partial preview of the text

Download Massachusetts Grade 10 Math Tests: Released Computer & Paper Items and more Lecture notes Mathematics in PDF only on Docsity!

Computer-Based Released Items

Grade 10 Mathematics

Spring 2019

The spring 2019 grade 10 Mathematics test was administered in two primary formats: a computer-based

version and a paper-based version. The vast majority of students took the computer-based test. The paper-

based test was offered as an accommodation for students with disabilities who are unable to use a computer,

as well as for English learners who are new to the country and are unfamiliar with technology.

The Department of Elementary and Secondary Education is releasing items from both versions of the test to

provide information about the knowledge and skills that students are expected to demonstrate.

• Released items from the computer-based test are available online at

mcas.pearsonsupport.com/released-items. The computer-based released items are collected in a mini

test called an ePAT (electronic practice assessment tool). Items in the ePAT are displayed in

TestNav 8, the testing platform for the computer-based tests.

• Released items from the paper-based test are available in PDF format on the Department’s website

at www.doe.mass.edu/mcas/testitems.html.

This document provides information about each released item from the computer-based test , including:

reporting category, standard(s) covered, item type, item description, and correct answer (for selected-

response items only). Scoring rubrics are also provided for released constructed-response items.

A Note about Testing Mode

Most of the operational items on the grade 10 Mathematics test were the same, regardless of whether a

student took the computer-based version or the paper-based version. In places where a technology-enhanced

item was used on the computer-based test, an adapted version of the item was created for use on the paper

test. These adapted paper items were multiple-choice, multiple-select, or short-answer items that tested the

same Mathematics content and assessed the same standard as the technology-enhanced item.

Grade 10 Mathematics

Spring 201 9 Computer-Based Released Operational Items

CBT Item No. Reporting Category Standard^ Item Type * Item^ Description^ Correct Answer ** 1 Algebra and Functions A-APR.A.1 SR Multiply two polynomial expressions. B 2 Algebra and Functions F-IF.A.2 SR Evaluate a quadratic function for different input values. see page 5 3 Geometry G-C.A.2 SR Use an inscribed right triangle to determine the circumference of a circle.

B

(^4) Geometry G-CO.B.6 SR Identify transformations that would produce a congruent figure. A,B,C 5 Algebra and Functions

A-REI.C.6 SA

Solve for one variable in a system of linear equations algebraically.

6 Algebra and Functions A-SSE.A.2 SR Factor a trinomial expression. B 7 Algebra and Functions A-REI.D.12 SA Graph the solution set of a linear inequality in two variables. see page 5 (^8) Geometry G-GPE.B.5 SR Identify an equation of a line perpendicular to a given line. A 9 Number and Quantity

N-RN.A.2 CR

Evaluate expressions involving radicals and rational exponents. see page 6 10 Statistics and Probability

S-ID.A.2 SR

Compare measures of center and spread of two data sets.

C

11 Geometry G-GPE.B.6 SR Find the midpoint of a line segment graphed on a coordinate plane.

B

12 Statistics and Probability

S-CP.B.6 SA

Calculate conditional probabilities of real- world events from a description. Part A: A Part B: see page 7 13 Algebra and Functions A-REI.B.4 SR Find the solutions of a quadratic equation in one variable.

A

29 Algebra and Functions A-SSE.A.1^ SA^ Interpret part of an expression that represents a real-world situation. 25 (^30) Geometry G-CO.A.2 CR Describe transformations that create congruent and non-congruent images and determine the coordinates of the vertices of transformed figures. see page 13 31 Algebra and Functions

A-REI.A.1 SR

Justify each step in the solution of a linear equation. see page 14 32 Geometry G-CO.C.11 SR Determine the number of sides of a regular polygon based on the measures of its exterior angles.

C

33 Number and Quantity N-Q.A.1^ SA^ Use dimensional analysis to equate actual distances and those on a map. 1.5; 4 (^34) Geometry G-SRT.B.5 SR Use similar triangles to determine a missing side length. C 35 Algebra and Functions

A-CED.A.1 CR

Create exponential equations from a formula and use them to solve real-world problems. see page 15 36 Geometry G-SRT.C.8 SR Use the Pythagorean theorem to solve a real-world problem.

C

37 Algebra and Functions F-LE.A.2^ SA Identify the features of a linear function from values in a table and write an equation for another linear function shown on a graph. see page 1 6 38 Algebra and Functions

A-CED.A.2 SR

Determine a system of two-variable equations based on a real-world situation.

D

39 Geometry G-CO.A.3 SR Identify a transformation that would carry a figure onto itself.

D

40 Algebra and Functions F-LE.B.5^ SR^ Interpret parameters of linear functions based on a real-world situation. see^ page^16 (^41) Geometry G-C.B.5 SR Determine the area of a sector of a circle. A 42 Statistics and Probability

S-ID.B.6 SR

Identify the method for drawing the line of best fit for data displayed in a scatter plot.

C

  • Mathematics item types are: selected-response (SR), short-answer (SA), and constructed-response (CR). **Answers are provided here for selected-response and short-answer items only. Correct answers for technology-enhanced (TE) items can be found beginning on page 5 of this document. Scoring rubrics for constructed-response items are also provided in this document. Sample responses and scoring guidelines for constructed-response items will be posted to the Department’s website later this year.

Correct Answer for CBT Item # 2 : Technology-Enhanced Item

Correct Answer for CBT Item #7: Technology-Enhanced Item

Correct Answer for CBT Item #12: Technology-Enhanced Item

Part B:

Rubric for CBT Item #14: Constructed Response

Scoring Guide

Score Description

The student response demonstrates an exemplary understanding of the Statistics and Probability

concepts involved in using statistics appropriate to the shape of the data distribution to compare center

and spread of two or more different data sets. The student analyzes a double bar graph and compares

measures of center of the data.

The student response demonstrates a good understanding of the Statistics and Probability concepts

involved in using statistics appropriate to the shape of the data distribution to compare center and

spread of two or more different data sets. Although there is significant evidence that the student was

able to recognize and apply the concepts involved, some aspect of the response is flawed. As a result,

the response merits 3 points.

The student response demonstrates a fair understanding of the Statistics and Probability concepts

involved in using statistics appropriate to the shape of the data distribution to compare center and

spread of two or more different data sets. While some aspects of the task are completed correctly,

others are not. The mixed evidence provided by the student merits 2 points.

The student response demonstrates a minimal understanding of the Statistics and Probability concepts

involved in using statistics appropriate to the shape of the data distribution to compare center and

spread of two or more different data sets.

The student response contains insufficient evidence of an understanding of the Statistics and

Probability concepts involved in using statistics appropriate to the shape of the data distribution to

compare center and spread of two or more different data sets to merit any points.

Correct Answer for CBT Item #18: Technology-Enhanced Item

Correct Answer for CBT Item #19: Technology-Enhanced Item

Part A:

Part B:

Correct Answer for CBT Item #23: Technology-Enhanced Item

Rubric for CBT Item # 30 : Constructed Response

Scoring Guide

Score Description

The student response demonstrates an exemplary understanding of the Geometry concepts involved in

representing transformations in the plane, describing transformations as functions that take points in

the plane as inputs and give other points as outputs, and comparing transformations that preserve

distance and angle to those that do not. The student explains the effect of transformations on the

coordinates of the vertices of a triangle graphed on a coordinate plane.

The student response demonstrates a good understanding of the Geometry concepts involved in

representing transformations in the plane, describing transformations as functions that take points in

the plane as inputs and give other points as outputs, and comparing transformations that preserve

distance and angle to those that do not. Although there is significant evidence that the student was

able to recognize and apply the concepts involved, some aspect of the response is flawed. As a result,

the response merits 3 points.

The student response demonstrates a fair understanding of the Geometry concepts involved in

representing transformations in the plane, describing transformations as functions that take points in

the plane as inputs and give other points as outputs, and comparing transformations that preserve

distance and angle to those that do not. While some aspects of the task are completed correctly, others

are not. The mixed evidence provided by the student merits 2 points.

The student response demonstrates a minimal understanding of the Geometry concepts involved in

representing transformations in the plane, describing transformations as functions that take points in

the plane as inputs and give other points as outputs, and comparing transformations that preserve

distance and angle to those that do not.

The student response contains insufficient evidence of an understanding of the Geometry concepts

involved in representing transformations in the plane, describing transformations as functions that

take points in the plane as inputs and give other points as outputs, and comparing transformations that

preserve distance and angle to those that do not to merit any points.

Correct Answer for CBT Item #31: Technology-Enhanced Item

Correct Answer for CBT Item #37: Technology-Enhanced Item

Part A:

Part B:

Correct Answer for CBT Item #40: Technology-Enhanced Item

Part A:

Part B: