Arizona flagArizona: Quantitative Reasoning Math Standards

18 standards · 5 domains

COVARIATIONAL REASONING (CR)

  • QR.CR.1 Analyze and compare growth and decay using absolute and relative change utilizing real-world contexts.
  • QR.CR.2 Compare, reason and communicate about proportional and non-proportional models utilizing real-world contexts.
  • QR.CR.3 Identify, create, and use appropriate models for bivariate data sets (i.e. linear, exponential) to estimate solutions for contextual questions, identify patterns and identify how changing parameters affect the models.

DISCRETE MATHEMATICAL REASONING (DMR)

  • QR.DMR.1 Understand, analyze, and apply vertex-edge graphs to model and make informed decisions related to paths, circuits, networks, and relationships in real-world settings. Encompasses P.CM-DM.A.1, P.CM-DM.A.2
  • QR.DMR.2 Devise, analyze, and apply algorithms for solving vertex-edge graph problems. P.CM-DM.A.3
  • QR.DMR.3 Extend work with adjacency matrices for graphs, such as interpreting row sums and using the nth power of the adjacency matrix to count paths of length n in a graph. P.CM-DM.A.4

FINANCIAL REASONING (FR)

  • QR.FR.1 Identify and research a career goal. Develop a plan and time table for achieving it including educational/training requirements, costs, and other factors (e.g. cost versus savings, income and debt).
  • QR.FR.2 Understand and apply strategies to monitor income and expenses, plan for spending, implement a diversified investment strategy, and save for future goals.
  • QR.FR.3 Use models to solve and communicate about contextual financial questions such as credit card debt, installment savings, amortization schedules, mortgage and other loan scenarios.
  • QR.FR.4 Identify and explain personal and societal consequences of financial decisions.

NUMERICAL REASONING (NR)

  • QR.NR.1 Represent quantities, using equivalent forms when appropriate, to investigate and describe quantitative and geometric relationships and solve problems in real-world contexts.
  • QR.NR.2 Reason, model, and communicate with and about percentages (change, incorrect, deceptive, relative and absolute).
  • QR.NR.3 Understand and compare magnitudes of numbers utilizing real-world context. Understand the importance and impact of unit selection.
  • QR.NR.4 Use and justify estimation skills, and know why, how, and when to estimate results. Assess and justify the reasonableness of estimations using the context and comparisons to other known values.

STATISTICAL AND PROBABILISTIC REASONING (SPR)

  • QR.SPR.1 Reason and communicate about the validity of claims based on empirical, theoretical, and subjective probabilities. Draw conclusions or make decisions related to risk, pay-off, expected value, and false negatives/positives in various probabilistic contexts. Encompasses P.S-CP.B.9, P.S-MD.A.2, P.S-MD.A.3, P.S-MD.A.4, P.S-MD.B.5, P.S-MD.B.7
  • QR.SPR.2 Analyze statistical information and identify limitations, strengths, or lack of information in studies including data collection methods (e.g. sampling, experimental, observational) and possible sources of bias. Identify errors or misuses of statistics to justify particular conclusions. Encompasses P.S-IC.B.3
  • QR.SPR.3 Represent numerical summaries and visual displays of real-world data to make informed decisions. Reason, communicate, and describe strengths, limitations, and fallacies of various displays. Encompasses P.S-IC.B.6
  • QR.SPR.4 Represent center, shape, and spread of two or more data sets. Reason, communicate, and compare data sets in context.

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