# SBS:Math Level 09 v4

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Math Level 09 Capacity Matrices

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

- Math Level 12 Linear Equations Unit - Created by Mackenzie Nickum and Tasha Wheatley

## 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)