🇺🇸 Partnership for Assessment of Readiness for College and Careers (PARCC) · subject
Partnership for Assessment of Readiness for College and Careers (PARCC) Assessment Practices and Mathematical Reasoning Syllabus
The Assessment Practices and Mathematical Reasoning syllabus for Partnership for Assessment of Readiness for College and Careers (PARCC) in full: 4 chapters, 13 topics and 26 sub-topics, every one listed below, plus 50 Assessment Practices and Mathematical Reasoning flashcards with answers.
Assessment Practices and Mathematical Reasoning syllabus: all 4 chapters
Expand any chapter to see its topics and sub-topics.
-
Standards for Mathematical Practice
4 topics- Reasoning and Sense-Making
- Making sense of problems and persevering
- Reasoning abstractly and quantitatively
- Argument and Critique
- Constructing viable arguments
- Critiquing the reasoning of others
- Modeling and Tools
- Modeling with mathematics
- Using appropriate tools strategically
- Precision and Structure
- Attending to precision
- Looking for and making use of structure and repeated reasoning
- Reasoning and Sense-Making
-
PARCC Mathematics Task Types
3 topics- Type I: Concepts, Skills, and Procedures
- Machine-scored fluency and procedure items
- Conceptual understanding items
- Type II: Expressing Mathematical Reasoning
- Written justifications and critiques
- Constructing and evaluating arguments
- Type III: Modeling and Applications
- Multi-step real-world modeling
- Interpreting results in context
- Type I: Concepts, Skills, and Procedures
-
Test Format and Administration
3 topics- Computer-Based Test Navigation
- Online equation editor and tools
- Item types and response interfaces
- Accessibility Features and Accommodations
- Text-to-speech and embedded supports
- Accommodations for eligible students
- Performance Levels and Scoring
- Five performance levels and college/career readiness
- Scale scores and reporting categories
- Computer-Based Test Navigation
-
Test-Taking Strategies
3 topics- Time Management Across Units
- Pacing within timed sections
- Allocating time to constructed-response tasks
- Evidence and Annotation Skills
- Highlighting and note-taking tools
- Planning written responses
- Error-Checking and Review
- Verifying mathematical work
- Proofreading writing for conventions
- Time Management Across Units
Partnership for Assessment of Readiness for College and Careers (PARCC) Assessment Practices and Mathematical Reasoning flashcards — 50 questions with answers
In PARCC mathematics, what does the practice of 'Reasoning and Sense-Making' require a student to do?
To make sense of problems by understanding what is being asked, to look for entry points and structure, and to reason quantitatively and abstractly so that answers are evaluated for whether they make sense in context.
What is the difference between 'reasoning quantitatively' and 'reasoning abstractly' in mathematical sense-making?
Reasoning quantitatively means attending to the meaning of quantities and their units in context; reasoning abstractly means decontextualizing a problem into symbols, manipulating them, and then re-contextualizing the result.
In sense-making, what does it mean to 'check the reasonableness' of an answer?
Estimating the expected magnitude, verifying units, and confirming the solution fits the real-world constraints of the problem before accepting it as correct.
What does 'making sense of problems and persevering in solving them' (the first Standard for Mathematical Practice) entail?
Analyzing givens, constraints, and goals; planning a solution pathway; monitoring progress; and changing course when needed instead of giving up.
In PARCC's 'Argument and Critique' practice, what are students expected to do with mathematical claims?
Construct viable arguments using definitions, assumptions, and logical reasoning, and critique the reasoning of others by detecting flaws or justifying validity.
What is a 'viable argument' in mathematics?
A logically sound justification built from stated assumptions, definitions, and previously established results that leads validly to the conclusion.
What distinguishes a counterexample from a proof when critiquing reasoning?
A counterexample is a single case that disproves a universal claim, while a proof must show the claim holds for all cases within its scope.
When critiquing another student's argument on PARCC, what two outcomes should the response address?
Whether the reasoning is correct (and why it works) or flawed (identifying the specific error and explaining why it fails).
What is the 'Modeling and Tools' practice in PARCC mathematics?
Applying mathematics to real-world situations by building models, and strategically selecting and using appropriate tools such as calculators, graphs, diagrams, or technology.
List the typical steps of the mathematical modeling cycle.
Identify variables and make assumptions, formulate a model, perform operations/analyze, interpret the results, validate against reality, and report or revise the model.
What does 'use appropriate tools strategically' mean as a mathematical practice?
Knowing which tool (e.g., ruler, calculator, spreadsheet, graphing software) is helpful for a given task, recognizing its limitations, and using it to deepen understanding rather than as a crutch.
In modeling, what is the role of 'assumptions and simplifications'?
They reduce a messy real situation to a tractable mathematical form; good modeling states assumptions explicitly so the model's validity and limits can be judged.
What does the 'Precision' practice (attend to precision) require?
Communicating precisely with clear definitions and correct symbols, using accurate units and labels, and computing/expressing answers to an appropriate degree of accuracy.
What does 'look for and make use of structure' mean in mathematics?
Recognizing patterns, forms, or composition in expressions and figures (e.g., seeing 7x+7y as 7(x+y)) to simplify or solve problems.
What does 'look for and express regularity in repeated reasoning' mean?
Noticing when calculations repeat, then generalizing the process into a shortcut, rule, or formula while keeping oversight of the overall process.
Why is attending to units considered part of precision in PARCC tasks?
Correct units ensure the answer is meaningful and comparable; mismatched or missing units indicate a reasoning error and can cost evidence/precision credit.
What does a PARCC Type I task assess, and how is it scored?
Type I assesses Concepts, Skills, and Procedures; it uses machine-scorable items (often multiple-choice or technology-enhanced) and is the only task type that contributes to the calculator/no-calculator skill demonstration in full.
What is the primary focus of PARCC Type I items?
Demonstrating fluency, conceptual understanding, and application of skills and procedures, balanced across the major, additional, and supporting content of the grade.
What does a PARCC Type II task assess?
Type II tasks call for 'Expressing Mathematical Reasoning'—written arguments, justifications, critiques of reasoning, and precise explanations.
How are PARCC Type II tasks primarily scored?
On the quality of the mathematical reasoning and the validity of the argument or critique, using a reasoning-focused rubric rather than just the final answer.
Show the other 30 Assessment Practices and Mathematical Reasoning flashcards
What does a PARCC Type III task assess?
Type III tasks assess 'Modeling and Applications'—applying mathematics to real-world problems by modeling, interpreting, and connecting multiple concepts.
How are PARCC Type III tasks scored compared to Type I?
Type III uses a modeling/application rubric that credits the modeling process, interpretation, and accuracy, whereas Type I is machine-scored for correct answers/procedures.
Match each PARCC math task type to its emphasis: Type I, Type II, Type III.
Type I = concepts, skills, and procedures; Type II = expressing mathematical reasoning; Type III = modeling and applications.
Which PARCC math task types are hand-scored against rubrics rather than purely machine-scored?
Type II (reasoning) and Type III (modeling) include human/rubric scoring of student-constructed responses; Type I is primarily machine-scored.
On a computer-based PARCC test, how do students typically enter mathematical expressions or equations?
Using the on-screen equation editor (math response/equation tool) with its symbol palette, rather than typing plain text.
What is the 'drag-and-drop' item type on computer-based PARCC, and how should it be used?
An item where students drag answer tiles into target zones; students should place each tile fully into its drop region and verify it locked before moving on.
On the PARCC computer-based platform, what does the 'flag for review' tool do?
It marks a question so the student can quickly return to it later within the same unit using the review screen before submitting.
Why must students answer items within the correct unit/section on computer-based PARCC?
Once a unit is submitted, it is locked; students cannot return to a previous unit, so all flagged items must be finished before ending that unit.
Name common computer-based PARCC tools available during the math test.
Equation/answer editor, online calculator, ruler/protractor, line reader/mask, highlighter, notepad, eliminator (cross-off), zoom, and flag-for-review.
On PARCC, what determines whether an online calculator is available for a given section?
The section is designated calculator or non-calculator; the online calculator (grade-appropriate: four-function, scientific, or graphing) appears only in calculator-permitted sections.
What is the difference between an accessibility 'feature' and an 'accommodation' on PARCC?
Accessibility features are available to all students (e.g., highlighter, zoom, eliminator), while accommodations are documented supports (e.g., in an IEP/504/EL plan) provided only to eligible students.
Give examples of PARCC accommodations for students with disabilities or English learners.
Extended time, text-to-speech/read-aloud, braille or large-print forms, scribe, assistive technology, and (for ELs) word-to-word bilingual dictionaries or translated directions.
What is text-to-speech (TTS) on PARCC and who uses it?
A feature that reads test content aloud through the computer; it is available as an accessibility feature for some content and as a documented accommodation for eligible students.
What is the 'answer masking' / line reader accessibility tool used for?
It hides or focuses portions of the screen so a student can concentrate on one line or section at a time, reducing visual distraction.
How many performance levels does PARCC report, and what are they?
Five levels: 1 = Did Not Yet Meet Expectations, 2 = Partially Met, 3 = Approached, 4 = Met Expectations, 5 = Exceeded Expectations.
On PARCC, which performance level(s) indicate a student is on track / college-and-career ready?
Level 4 (Met Expectations) and Level 5 (Exceeded Expectations) indicate the student met or exceeded grade-level expectations.
What is the approximate scale-score range for PARCC summative reports?
Scale scores range from 650 to 850, with 750 generally marking the cut for Level 4 (Met Expectations).
What is a 'cut score' in PARCC scoring?
A threshold scale score that separates one performance level from the next, used to classify students into Levels 1–5.
On PARCC, how does raw performance get converted into a reported result?
Raw points from machine- and human-scored items are combined and statistically scaled to a 650–850 scale score, which is then mapped to one of the five performance levels via cut scores.
What is a recommended time-management strategy across PARCC's timed units?
Budget time per item based on the unit's length and point value, answer easier items first, flag harder ones, and reserve a few minutes at the end of each unit for review before it locks.
Why is pacing per unit (rather than per whole test) critical on PARCC?
Each unit is separately timed and locks on submission, so leftover time in one unit cannot be carried to another—students must finish each unit within its own window.
How should a student handle a very difficult question to manage time on PARCC?
Flag it, make a best attempt or eliminate wrong options, move on to gather easier points, and return to it before the unit closes.
What does it mean to 'show evidence' in a PARCC Type II/III response?
To support each claim with mathematical work, computations, justifications, and references to given information so a scorer can trace the reasoning.
In constructed responses, what does 'annotation' refer to?
Marking up the problem and one's own work—labeling steps, defining variables, noting units, and explaining reasoning—so the solution is clear and self-justifying.
Why does a correct final answer alone often earn only partial credit on PARCC reasoning/modeling tasks?
Rubrics award points for the quality of the reasoning, justification, and process; without shown evidence and explanation, the full reasoning credit cannot be given.
What kind of evidence best supports a mathematical argument on a Type II task?
Logical justification grounded in definitions, properties, and worked steps—not just restating the result or giving an example when a general claim is required.
What is the purpose of an error-checking/review step before submitting a PARCC unit?
To catch computational mistakes, unanswered or partially answered items, mis-entered equation-editor responses, and unit/answer mismatches while changes are still possible.
Name an effective error-checking technique for a numerical answer.
Re-estimate the expected magnitude and check units; substitute the answer back into the original equation or context to confirm it is consistent.
When reviewing a multi-step PARCC problem, what is a key error to look for first?
Misreading the question or a sign/unit error early in the work, since an early mistake propagates through every later step.
Before ending a PARCC unit, what should a student confirm about flagged items?
That every flagged item has been revisited and fully answered (including all parts and correctly entered responses), because the unit cannot be reopened after submission.
Partnership for Assessment of Readiness for College and Careers (PARCC) Assessment Practices and Mathematical Reasoning FAQ
What is in the Partnership for Assessment of Readiness for College and Careers (PARCC) Assessment Practices and Mathematical Reasoning syllabus?
Partnership for Assessment of Readiness for College and Careers (PARCC) Assessment Practices and Mathematical Reasoning is split into 4 chapters: Standards for Mathematical Practice, PARCC Mathematics Task Types, Test Format and Administration and Test-Taking Strategies. Together they contain 13 topics and 26 sub-topics.
How many chapters are in Partnership for Assessment of Readiness for College and Careers (PARCC) Assessment Practices and Mathematical Reasoning?
4 chapters, containing 13 topics and 26 sub-topics. The largest chapter is Standards for Mathematical Practice, with 4 topics.
Are there flashcards for Partnership for Assessment of Readiness for College and Careers (PARCC) Assessment Practices and Mathematical Reasoning?
Yes — a 50-card Assessment Practices and Mathematical Reasoning deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.