SBS:Math Level 09 v4

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Math Level 09 Capacity Matrices

Math Level 09 Vocabulary

Resources aligned to the old Math Level 12 v3 which addresses content in the new Math Level 09 v4


Contents

Number Sense, Properties, and Operations

Measurement Topic: MA.09.H12 Quantitative reasoning is used to make sense of quantities and their relationships in problem situations Capacity Matrix MA.09.H12

MA.09.H12.01.04 Choose and interpret units consistently in formulas. (CAS: HS.1.2.a.i.1) (CCSS: N-Q.1)

MA.09.H12.02.04 Choose and interpret the scale and the origin in graphs and data displays.• (CAS: HS.1.2.a.i.2) (CCSS: N-Q.1)

MA.09.H12.03.04 Define appropriate quantities for the purpose of descriptive modeling. (CAS: HS.1.2.a.ii) (CCSS: N-Q.2)

MA.09.H12.04.04 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. (CAS: HS.1.2.a.iii) (CCSS: N-Q.3)

Patterns, Functions, and Algebraic Structures

Measurement Topic: MA.09.H21 Functions model situations where one quantity determines another and can be represented algebraically, graphically, and using tables Capacity Matrix MA.09.H21

MA.09.H21.01.04 Explain that a function is a correspondence from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range. (CAS: HS.2.1.a.i) (CCSS: F-IF.1)

MA.09.H21.02.04 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.• (CAS: HS.2.1.a.ii) (CCSS: F-IF.2)

MA.09.H21.03.04 Demonstrate that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.• (CAS: HS.2.1.a.iii) (CCSS: F-IF.3)

MA.09.H21.04.04 Graph linear functions and show intercepts. (CAS: HS.2.1.c.ii) (CCSS: F-IF.7a)

Measurement Topic: MA.09.H22 Quantitative relationships in the real world can be modeled and solved using functions Capacity Matrix MA.09.H22

MA.09.H22.02.04 Identify situations in which one quantity changes at a constant rate per unit interval relative to another. (CAS: HS.2.2.a.i.2) (CCSS: F-LE.1b)

MA.09.H22.03.04 Identify situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. (CAS: HS.2.2.a.i.3) (CCSS: F-LE.1c)

Measurement Topic: MA.09.H23 Expressions can be represented in multiple, equivalent forms Capacity Matrix MA.09.H23

MA.09.H23.01.04 Interpret parts of an expression, such as terms, factors, and coefficients. (CAS: HS.2.3.a.i.1) (CCSS: A-SSE.1a)

MA.09.H23.02.04 Interpret complicated expressions by viewing one or more of their parts as a single entity. (CAS: HS.2.3.a.i.2) (CCSS: A-SSE.1b)

Measurement Topic: MA.09.H24 Solutions to equations, inequalities and systems of equations are found using a variety of tools Capacity Matrix MA.09.H24

MA.09.H24.01.04 Create equations and inequalities in one variable and use them to solve problems (CAS: HS.2.4.a.i) (CCSS: A-CED.1)

MA.09.H24.02.04 Create equations in two or more variables to represent relationships between quantities and graph equations on coordinate axes with labels and scales. (CAS: HS.2.4.a.ii) (CCSS: A-CED.2)

MA.09.H24.03.04 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. (CAS: HS.2.4.a.iii) (CCSS: A-CED.3)

MA.09.H24.04.04 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. (CAS: HS.2.4.a.iv) (CCSS: A-CED.4)

MA.09.H24.06.04 Explain that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve. (CAS: HS.2.4.e.i) (CCSS: A-REI.10)

MA.09.H24.07.04 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. (CAS: HS.2.4.c.i) (CCSS: A-REI.3)

MA.09.H24.10.04 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. (CAS: HS.2.4.e.iii) (CCSS: A-REI.12)

Measurement Topic: MA.10.H21 Functions model situations where one quantity determines another and can be represented algebraically, graphically, and using tables Capacity Matrix MA.10.H21

MA.10.H21.01.04 Graph quadratic functions and show intercepts, maxima, and minima. (CAS: HS.2.1.c.ii) (CCSS: F-IF.7a)

MA.10.H21.04.04 Determine an explicit expression, a recursive process, or steps for calculation from a context. (CAS: HS.2.1.d.i.1) (CCSS: F-BF.1a)

Measurement Topic: MA.11.H21 Functions model situations where one quantity determines another and can be represented algebraically, graphically, and using tables Capacity Matrix MA.11.H21

MA.11.H21.01.04 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. (CAS: HS.2.1.b.i) (CCSS: F-IF.4) )

MA.11.H21.02.04 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. (CAS: HS.2.1.b.ii) (CCSS: F-IF.5)

MA.11.H21.03.04 Calculate and interpret the average rate of change of a function over a specified interval. Estimate the rate of change from a graph. (CAS: HS.2.1.b.iii) (CCSS: F-IF.6)

MA.11.H21.11.04 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). (CAS: HS.2.1.c.vi.3) (CCSS: F-IF.9)

MA.11.H21.14.04 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. (CAS: HS.2.1.d.ii) (CCSS: F-BF.2)

Data Analysis, Statistics, and Probability

Measurement Topic: MA.09.H31 Visual displays and summary statistics condense the information in data sets into usable knowledge Capacity Matrix MA.09.H31

MA.09.H31.01.04 Represent data with plots on the real number line (dot plots, histograms, and box plots). (CAS: HS.3.1.a.i) (CCSS: S-ID.1)

MA.09.H31.02.04 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. (CAS: HS.3.1.a.ii) (CCSS: S-ID.2)

MA.09.H31.03.04 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). (CAS: HS.3.1.a.iii) (CCSS: S-ID.3)

MA.09.H31.04.04 Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. (CAS: HS.3.1.b.i) (CCSS: S-ID.5)

MA.09.H31.05.04 Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models. (CAS: HS.3.1.b.ii.1) (CCSS: S-ID.6a)

MA.09.H31.07.04 Fit a linear function for a scatter plot that suggests a linear association. (CAS: HS.3.1.b.ii.3) (CCSS: SID.6c)

MA.09.H31.08.04 Interpret the slope and the intercept of a linear model in the context of the data.• (CAS: HS.3.1.c.i) (CCSS: S-ID.7)

MA.09.H31.09.04 Using technology, compute and intercept the correlation coefficient of a linear fit. (CAS: HS.3.1.c.ii) (CCSS: S-ID.8)

MA.09.H31.10.04 Distinguish between correlation and causation. (CAS: HS.3.1.c.iii) (CCSS: S-ID.9)

Shape, Dimension, and Geometric Relationships

Measurement Topic: MA.10.H41 Objects in the plane can be transformed, and those transformations can be described and analyzed mathematically Capacity Matrix MA.10.H41

MA.10.H41.01.04 Vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent. (CAS: HS.4.1.c.i) (CCSS: G-CO.9)

MA.10.H41.02.04 Points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. (CAS: HS.4.1.c.i) (CCSS: G-CO.9)