SBS:Math Level 07 v4

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Math Level 07 Capacity Matrices

Math Level 07 Vocabulary

Math Level 07 Videos

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


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)