# SBS:Math Level 07 v4

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Math Level 07 Capacity Matrices

*Resources aligned to the old Math Level 10 v3 which addresses content in the new Math Level 07 v4 *

- Math Level 10 Videos
- Math Level 10 Unit - Created by Kelly Messenger

## Contents |

## Number Sense, Properties, and Operations

**Measurement Topic:** *MA.07.711 Proportional reasoning involves comparisons and multiplicative relationships among ratios* Capacity Matrix MA.07.711

MA.07.711.01.04 Analyze proportional relationships and use them to solve real-world and mathematical problems. (CAS: 7.1.1.a) (CCSS: 7.RP)

MA.07.711.02.04 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. (CAS: 7.1.1.b) (CCSS: 7.RP.1)

MA.07.711.03.04 Determine whether two quantities are in a proportional relationship. (CAS: 7.1.1.c.i) (CCSS: 7.RP.2a)

MA.07.711.04.04 Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. (CAS: 7.1.1.c.ii) (CCSS: 7.RP.2b)

MA.07.711.05.04 Represent proportional relationships by equations. (CAS: 7.1.1.c.iii) (CCSS: 7.RP.2c)

MA.07.711.07.04 Estimate and compute unit cost of consumables (to include unit conversions if necessary) sold in quantity to make purchase decisions based on cost and practicality. (CAS: 7.1.1.d.i) (PFL)

MA.07.711.08.04 Solve problems involving percent of a number, discounts, taxes, simple interest, percent increase, and percent decrease. (CAS: 7.1.1.d.ii) (PFL)

**Measurement Topic:** *MA.07.712 Formulate, represent, and use algorithms with rational numbers flexibly, accurately, and efficiently* Capacity Matrix MA.07.712

MA.07.712.05.04 Interpret sums of rational numbers by describing real-world contexts. (CAS: 7.1.2.a.v) (CCSS: 7.NS.1c)

MA.07.712.06.04 Demonstrate subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). (CAS: 7.1.2.a.vi) (CCSS: 7.NS.1c)

MA.07.712.07.04 Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. (CAS: 7.1.2.a.vii) (CCSS: 7.NS.1c)

MA.07.712.08.04 Apply properties of operations as strategies to add and subtract rational numbers. (CAS: 7.1.2.a.viii) (CCSS: 7.NS.1d)

MA.07.712.09.04 Apply properties of operations to multiplication of rational numbers. (CAS: 7.1.2.b.i) (CCSS: 7.NS.2a)

MA.07.712.10.04 Interpret products of rational numbers by describing real-world contexts. (CAS: 7.1.2.b.ii) (CCSS: 7.NS.2a)

MA.07.712.11.04 Apply properties of operations to divide integers. (CAS: 7.1.2.b.iii) (CCSS: 7.NS.2b)

MA.07.712.15.04 Solve real-world and mathematical problems involving the four operations with rational numbers. (CAS: 7.1.2.c) (CCSS: 7.NS.3)

## Patterns, Functions, and Algebraic Structures

**Measurement Topic:** *MA.07.721 Properties of arithmetic can be used to generate equivalent expressions* Capacity Matrix MA.07.721

MA.07.721.06.04 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (CAS: 7.2.1.a.i) (CCSS: 7.EE.1)

**Measurement Topic:** *MA.07.722 Equations and expressions model quantitative relationships and phenomena* Capacity Matrix MA.07.722

MA.07.722.01.04 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. (CAS: 7.2.2.a) (CCSS: 7.EE.3)

MA.07.722.02.04 Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. (CAS: 7.2.2.b) (CCSS: 7.EE.3)

MA.07.722.03.04 Fluently solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. (CAS: 7.2.2.c.i) (CCSS: 7.EE.4a)

MA.07.722.05.04 Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. (CAS: 7.2.2.c.iii) (CCSS: 7.EE.4b)

MA.07.722.06.04 Graph the solution set of the inequality and interpret it in the context of the problem. (CAS: 7.2.2.c.iv) (CCSS: 7.EE.4b)

## Data Analysis, Statistics, and Probability

**Measurement Topic:** *MA.07.731 Statistics can be used to gain information about populations by examining samples*

MA.07.731.01.04 Explain that generalizations about a population from a sample are valid only if the sample is representative of that population. (CAS: 7.3.1.a.i) (CCSS: 7.SP.1)

MA.07.731.03.04 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. (CAS: 7.3.1.a.iii) (CCSS: 7.SP.2)

MA.07.731.06.04 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. (CAS: 7.3.1.b.ii) (CCSS: 7.SP.4)

**Measurement Topic:** *MA.07.732 Mathematical models are used to determine probability* Capacity Matrix MA.07.732

MA.07.732.01.04 Explain that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. (CAS: 7.3.2.a) (CCSS: 7.SP.5)

MA.07.732.04.04 Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. (CAS: 7.3.2.c.ii) (CCSS: 7.SP.7a)

MA.07.732.07.04 Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. (CAS: 7.3.2.d.ii) (CCSS: 7.SP.8b)

MA.07.732.09.04 Design and use a simulation to generate frequencies for compound events. (CAS: 7.3.2.d.iv) (CCSS: 7.SP.8c)

## Shape, Dimension, and Geometric Relationships

**Measurement Topic:** *MA.07.741 Modeling geometric figures and relationships leads to informal spatial reasoning and proof* Capacity Matrix MA.07.741

MA.07.741.01.04 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. (CAS: 7.4.1.a.i) (CCSS: 7.G.1)

MA.07.741.02.04 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. (CAS: 7.4.1.a.ii,iii) (CCSS: 7.G.2)

**Measurement Topic:** *MA.07.742 Linear measure, angle measure, area, and volume are fundamentally different and require different units of measure* Capacity Matrix MA.07.742

MA.07.742.01.04 State the formulas for the area and circumference of a circle and use them to solve problems. (CAS: 7.4.2.a) (CCSS: 7.G.4)

MA.07.742.03.04 Use properties of supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. (CAS: 7.4.2.c) (CCSS: 7.G.5)

MA.07.742.04.04 Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (CAS: 7.4.2.d) (CCSS: 7.G.6)