# SBS:Math Level 04 v4

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## 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)