# SBS:Math Level 04 v4

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Math Level 04 Capacity Matrices

## Contents |

## Number Sense, Properties, and Operations

**Measurement Topic:** *MA.04.411 The decimal number system to the hundredths place describes place value patterns and relationships that are repeated in large and small numbers and forms the foundation for efficient algorithms* Capacity Matrix MA.04.411

MA.04.411.02.04 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. (CAS: 4.1.1.a.ii) (CCSS: 4.NBT.2)

MA.04.411.03.04 Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. (CAS: 4.1.1.a.iii) (CCSS: 4.NBT.2)

MA.04.411.04.04 Use place value understanding to round multi-digit whole numbers to any place. (CAS: 4.1.1.a.iv) (CCSS: 4.NBT.3)

MA.04.411.05.04 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. (CAS: 4.1.1.b.i) (CCSS: 4.NF.5)

MA.04.411.06.04 Use decimal notation for fractions with denominators 10 or 100. (CAS: 4.1.1.b.ii) (CCSS: 4.NF.6)

MA.04.411.07.04 Compare two decimals to hundredths by reasoning about their size. (CAS: 4.1.1.b.iii) (CCSS: 4.NF.7)

**Measurement Topic:** *MA.04.412 Different models and representations can be used to compare fractional parts* Capacity Matrix MA.04.412

MA.04.412.01.04 Explain equivalence of fractions using drawings and models. (CAS: 4.1.2.a.i)

MA.04.412.02.04 Use the principle of fraction equivalence to recognize and generate equivalent fractions. (CAS: 4.1.2.a.ii) (CCSS: 4.NF.1)

MA.04.412.03.04 Compare two fractions with different numerators and different denominators, and justify the conclusions. (CAS: 4.1.2.a.iii) (CCSS: 4.NF.2)

MA.04.412.04.04 Compose and decompose fractions as sums and differences of fractions with the same denominator in more than one way and justify with visual models. (CAS: 4.1.2.b.i.1)

MA.04.412.05.04 Add and subtract mixed numbers with like denominators. (CAS: 4.1.2.b.i.2) (CCSS: 4.NF.3c)

**Measurement Topic:** *MA.04.413 Formulate, represent, and use algorithms to compute with flexibility, accuracy, and efficiency* Capacity Matrix MA.04.413

MA.04.413.01.04 Fluently add and subtract multi-digit whole numbers using standard algorithms. (CAS: 4.1.3.a.i) (CCSS: 4.NBT.4)

MA.04.413.02.04 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. (CAS: 4.1.3.a.ii) (CCSS: 4.NBT.5)

MA.04.413.04.04 Illustrate and explain multiplication and division calculation by using equations, rectangular arrays, and/or area models. (CAS: 4.1.3.a.iv) (CCSS: 4.NBT.6)

MA.04.413.06.04 Represent verbal statements of multiplicative comparisons as multiplication equations. (CAS: 4.1.3.b.ii) (CCSS: 4.OA.1)

MA.04.413.07.04 Multiply or divide to solve word problems involving multiplicative comparison. (CAS: 4.1.3.b.iii) (CCSS: 4.OA.2)

MA.04.413.08.04 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. (CAS: 4.1.3.b.iv) (CCSS: 4.OA.3)

## Patterns, Functions, and Algebraic Structures

**Measurement Topic:** *MA.04.421 Number patterns and relationships can be represented by symbols* Capacity Matrix MA.04.421

MA.04.421.01.04 Use number relationships to find the missing number in a sequence (CAS: 4.2.1.a.i) (CCSS: 4.OA.5)

MA.04.421.02.04 Use a symbol to represent and find an unknown quantity in a problem situation (CAS: 4.2.1.a.ii) (CCSS: 4.OA.5)

MA.04.421.03.04 Complete input/output tables (CAS: 4.2.1.a.iii) (CCSS: 4.OA.5)

MA.04.421.04.04 Find the unknown in simple equations (CAS: 4.2.1.a.iv) (CCSS: 4.OA.5)

MA.04.421.05.04 Find all factor pairs for a whole number in the range 1–100. (CAS: 4.2.1.b.i) (CCSS: 4.OA.4)

MA.04.421.06.04 Recognize that a whole number is a multiple of each of its factors. (CAS: 4.2.1.b.ii) (CCSS: 4.OA.4)

MA.04.421.07.04 Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. (CAS: 4.2.1.b.iii) (CCSS: 4.OA.4)

MA.04.421.08.04 Determine whether a given whole number in the range 1–100 is prime or composite. (CAS: 4.2.1.b.iv) (CCSS: 4.OA.4)

## Data Analysis, Statistics, and Probability

**Measurement Topic:** *MA.04.431 Visual displays are used to represent data* Capacity Matrix MA.04.431

MA.04.431.02.04 Solve problems involving addition and subtraction of fractions by using information presented in line plots. (CAS: 4.3.1.b) (CCSS: 4.MD.4)

## Shape, Dimension, and Geometric Relationships

**Measurement Topic:** *MA.04.441 Appropriate measurement tools, units, and systems are used to measure different attributes of objects and time* Capacity Matrix MA.04.441

MA.04.441.01.04 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. (CAS: 4.4.1.a.i)(CCSS: 4.MD.1)

MA.04.441.02.04 Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. (CAS: 4.4.1.a.ii) (CCSS: 4.MD.1)

MA.04.441.04.04 Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. (CAS: 4.4.1.a.iv) (CCSS: 4.MD.2)

MA.04.441.05.04 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. (CAS: 4.4.1.a.v) (CCSS: 4.MD.3)

MA.04.441.06.04 Describe angles as geometric shapes that are formed wherever two rays share a common endpoint, and explain concepts of angle measurement. (CAS: 4.4.1.b.i) (CCSS: 4.MD.5)

MA.04.441.07.04 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. (CAS: 4.4.1.b.ii) (CCSS: 4.MD.6)

MA.04.441.08.04 Demonstrate that angle measure as additive. (CAS: 4.4.1.b.iii) (CCSS: 4.MD.7)

MA.04.441.09.04 Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems. (CAS: 4.4.1.b.iv) (CCSS: 4.MD.7)

**Measurement Topic:** *MA.04.442 Geometric figures in the plane and in space are described and analyzed by their attributes* Capacity Matrix MA.04.442

MA.04.442.01.04 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. (CAS: 4.4.2.a) (CCSS: 4.G.1)

MA.04.442.02.04 Identify points, line segments, angles, and perpendicular and parallel lines in two-dimensional figures. (CAS: 4.4.2.b) (CCSS: 4.G.1)

MA.04.442.03.04 Classify and identify two-dimensional figures according to attributes of line relationships or angle size. (CAS: 4.4.2.c) (CCSS: 4.G.2)

MA.04.442.04.04 Identify a line of symmetry for a two-dimensional figure. (CAS: 4.4.2.d) (CCSS: 4.G.3)