Precise MJD coordinates, factor scores, skill weights, calibration evidence, and curriculum crosswalks. This reference is available to everyone and is intentionally last.
HS A2 · point 3
- Likely range
- MJ HS:A2.2–HS:A2.5
- Confidence
- 78%
A nontrivial plan using familiar mathematical ideas.
- Method selection2/3
- Reasoning depth3/3
- Novelty3/3
- Constraint management3/3
- Proof or justification3/3
Sustained mathematical work and a substantial written response.
- Active time
- 20–44 minutes · typically 30
- Response
- Proof
- Known-method steps
- 27
- Mechanical execution3/3
- Written output3/3
- Representation production2/3
- Bookkeeping2/3
Learning focus
Skills this problem practices
What a successful response demonstrates, with each skill’s share of the content rating.
Perform arithmetic with complex numbers
The learner can perform arithmetic with complex numbers. This capability is distinct from mere exposure to or isolated use of real numbers; square roots.
Rewrite expressions to reveal zeros, extrema, growth, or other features
The learner can rewrite expressions to reveal zeros, extrema, growth, or other features. This capability is distinct from mere exposure to or isolated use of factoring; completing square.
Readiness
Helpful prerequisites
Skills the rating assumes are already available to the learner.
Define and analyze simple recursive processes and recurrence relations
The learner can define and analyze simple recursive processes and recurrence relations. This capability is distinct from mere exposure to or isolated use of sequences; functions.
Add, subtract, and multiply polynomials
The learner can add, subtract, and multiply polynomials. This capability is distinct from mere exposure to or isolated use of distributive property; exponent laws.
Write and graph one-variable inequalities such as x>c
The learner can write and graph one-variable inequalities such as x>c. This capability is distinct from mere exposure to or isolated use of number line; comparison.
External alignment
Curriculum and standards crosswalks
Approved evidence-backed locations that support discovery. They do not define the MathJewels rating.
Common Core State Standards for Mathematics2010 · 2 locations
Clusters2 locations · Representative: Perform arithmetic operations with complex numbers.
CCSS.MATH.CONTENT.HSN-CN.APerform arithmetic with complex numbers was reviewed against CCSS.Math.Content.HSN-CN.A. The ontology's CCSS locator N-CN.A resolves to this cluster; the atomic skill is narrower relative to the published expectation.
CCSS.MATH.CONTENT.HSA-SSE.BRewrite expressions to reveal zeros, extrema, growth, or other features was reviewed against CCSS.Math.Content.HSA-SSE.B. The ontology's CCSS locator A-SSE.B resolves to this cluster; the atomic skill is narrower relative to the published expectation.
