EmSAT Achieve Math Public Test Specification, Study notes of Algebra

This exam is adaptive. Exam content and difficulty is customized to the individual test taker. When a test taker answers a question correctly, they will be ...

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Page: 1 of 41 Publication Date: September 2020
EmSAT Achieve Math
Public Test Specification
Test Description: EmSAT Achieve Math assesses the extent to which the test taker is ready to study
mathematics at the college or university level. It is a computer‐based exam where test sections,
questions, and options are randomized. The tests are timed by the computer. Test-takers can see
how much time they have throughout the exam.
This exam is adaptive. Exam content and difficulty is customized to the individual test taker. When a
test taker answers a question correctly, they will be given more difficult content; when they answer
a question incorrectly, they will be given easier content. This process of continuous adjustment
delivers optimized content for each test taker throughout the exam, maximizing their opportunity to
perform at their best and providing a more accurate measure of their ability.
Test Duration:
90 minutes
Questions:
40 questions
Content Areas:
Algebra, Geometry, and Statistics
Delivery Format
Computer Adaptive with Calculator Permitted
Task Types:
Multiple Choice and Fill-in the-Blank
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Download EmSAT Achieve Math Public Test Specification and more Study notes Algebra in PDF only on Docsity!

Public Test Specification

Test Description: EmSAT Achieve Math assesses the extent to which the test taker is ready to study

mathematics at the college or university level. It is a computer‐based exam where test sections,

questions, and options are randomized. The tests are timed by the computer. Test-takers can see

how much time they have throughout the exam.

This exam is adaptive. Exam content and difficulty is customized to the individual test taker. When a

test taker answers a question correctly, they will be given more difficult content; when they answer

a question incorrectly, they will be given easier content. This process of continuous adjustment

delivers optimized content for each test taker throughout the exam, maximizing their opportunity to

perform at their best and providing a more accurate measure of their ability.

Test Duration: 90 minutes

Questions: 40 questions

Content Areas: Algebra, Geometry, and Statistics

Delivery Format Computer Adaptive with Calculator Permitted

Task Types: Multiple Choice and Fill-in the-Blank

Score Score Descriptors

A student at this level has demonstrated sufficient mastery of higher-level algebra and geometry, and basic calculus, to be considered for entry into a second calculus course. 1500 – 1725 A student at this level has demonstrated sufficient mastery of algebra and geometry to warrant being considered for direct entry into a university-level calculus course. 1100 – 1475 A student at this level has demonstrated sufficient understanding of algebra and geometry to be able to engage in pre-calculus or similar courses of bachelor level instruction. Additional preparation would be recommended for those seeking a STEM major. 700 – 1075 A student at this level has demonstrated some understanding of algebra and applied geometry. A student at this level should consider enrolling in mathematics preparation courses before enrolling in year one bachelor level mathematics courses. 500 – 675 A student at this level has demonstrated some numerical understanding but a very limited understanding of basic algebra and geometry concepts. This student needs additional instruction and support in basic numeracy, algebra and geometry prior to engaging in tertiary level mathematics instruction. < 500 A student at this level has demonstrated little or no ability to apply basic mathematical concepts at tertiary entrance level. Students in this level would need to significantly improve their mathematical understanding before engaging in any tertiary level mathematics instruction.

Public Test Specification

Appendix 1: Content Areas

Content Area 2: Geometry

  • Experiment with transformations in

the plane

  • Understand congruence in terms of

transformation

  • Prove geometric theorems
  • Understand similarity in terms of

similarity transformations

  • Prove theorems involving similarity
  • Define trigonometric ratios and

solve problems involving right

triangles

  • Apply trigonometry to general triangles
  • Understand and apply theorems about

circles

  • Translate between the geometric

description and the equation for a conic

section

  • Use coordinates to prove simple geometric

theorems algebraically

  • Explain volume formulas and use them to

solve problems

  • Visualize relationships between two-

dimensional and three-dimensional objects

Content Area 3: Statistics

  • Summarize, represent, and interpret data

on a single variable

  • Summarize, represent, and interpret data

on two categorical and quantitative

variables

  • Interpret linear models
  • Understand and evaluate random

processes underlying statistical

experiments

  • Make inferences and justify conclusions

from sample surveys, experiments and

observational studies

  • Understand independence and

conditional probability and use them

to interpret data

  • Use the rules of probability to

compute probabilities of compound

events in a uniform probability model

  • Calculate expected values and use

them to solve problems

  • Use probability to evaluate outcomes

of decisions

Public Test Specification

Appendix 2: Sample Items

Public Test Specification

Appendix 2: Sample Items

Public Test Specification

Appendix 2: Sample Items

Public Test Specification

Appendix 2: Sample Items

Public Test Specification

Appendix 2: Sample Items

Public Test Specification

Appendix 2: Sample Items

Public Test Specification

Appendix 2: Sample Items

Public Test Specification

Appendix 2: Sample Items

Public Test Specification

Appendix 2: Sample Items

Public Test Specification

Appendix 2: Sample Items

Public Test Specification

Appendix 2: Sample Items