# SBS:Math Level 05 v4

Go back to main Math v4 page

Math Level 05 Capacity Matrices

*Resources aligned to the old Math Level 07 v3 which addresses content in the new Math Level 05 v4*

- Math Level 07 Unit - Created by Cally Holste

## Contents |

## Number Sense, Properties, and Operations

**Measurement Topic:** *MA.05.511 The decimal number system describes place value patterns and relationships that are repeated in large and small numbers and forms the foundation for efficient algorithms* Capacity Matrix MA.05.511

MA.05.511.01.04 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10. (CAS: 5.1.1.a.i) (CCSS: 5.NBT.2)

MA.05.511.02.04 Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. (CAS: 5.1.1.a.ii) (CCSS: 5.NBT.2)

MA.05.511.03.04 Use whole-number exponents to denote powers of 10. (CAS: 5.1.1.a.iii) (CCSS: 5.NBT.2)

MA.05.511.04.04 Read and write decimals to thousandths using base-ten numerals, number names, and expanded form. (CAS: 5.1.1.b.i) (CCSS: 5.NBT.3a)

MA.05.511.05.04 Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. (CAS: 5.1.1.b.ii) (CCSS: 5.NBT.3b)

MA.05.511.06.04 Use place value understanding to round decimals to any place. (CAS: 5.1.1.c) (CCSS: 5.NBT.4)

MA.05.511.07.04 Convert among different-sized standard measurement units within a given measurement system. (CAS: 5.1.1.d.i) (CCSS: 5.MD.1)

**Measurement Topic:** *MA.05.512 Formulate, represent, and use algorithms with multi-digit whole numbers and decimals with flexibility, accuracy, and efficiency* Capacity Matrix MA.05.512

MA.05.512.01.04 Fluently multiply multi-digit whole numbers using standard algorithms. (CAS: 5.1.2.a) (CCSS: 5.NBT.5)

MA.05.512.02.04 Use strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. (CAS: 5.1.2.b.i) (CCSS: 5.NBT.6)

MA.05.512.03.04 Illustrate and explain calculations by using equations, rectangular arrays, and/or area models. (CAS: 5.1.2.b.ii) (CCSS: 5.NBT.6)

MA.05.512.04.04 Use concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. (CAS: 5.1.2.c.i) (CCSS: 5.NBT.7)

MA.05.512.05.04 Relate strategies to a written method and explain the reasoning used. (CAS: 5.1.2.c.ii) (CCSS: 5.NBT.7)

MA.05.512.06.04 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. (CAS: 5.1.2.d.i) (CCSS: 5.OA.1)

MA.05.512.07.04 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. (CAS: 5.1.2.d.ii) (CCSS: 5.OA.2)

**Measurement Topic:** *MA.05.513 Formulate, represent, and use algorithms to add and subtract fractions with flexibility, accuracy, and efficiency * Capacity Matrix MA.05.513

MA.05.513.01.04 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) (CAS: 5.1.3.a.i) (CCSS: 5.NF.1)

MA.05.513.02.04 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. (CAS: 5.1.3.a.ii) (CCSS: 5.NF.2)

**Measurement Topic:** *MA.05.514 The concepts of multiplication and division can be applied to multiply and divide fractions * Capacity Matrix MA.05.514

MA.05.514.01.04 Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). (CAS: 5.1.4.a) (CCSS: 5.NF.3)

MA.05.514.02.04 Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers. (CAS: 5.1.4.b) (CCSS: 5.NF.3)

MA.05.514.03.04 Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. (CAS: 5.1.4.c) (CCSS: 5.NF.4a)

MA.05.514.04.04 Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. (CAS: 5.1.4.d.i) (CCSS: 5.NF.4b)

MA.05.514.08.04 Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. (CAS: 5.1.4.g) (CCSS: 5.NF.7a)

MA.05.514.09.04 Interpret division of a whole number by a unit fraction, and compute such quotients. (CAS: 5.1.4.h) (CCSS: 5.NF.7b)

## Patterns, Functions, and Algebraic Structures

**Measurement Topic:** *MA.05.521 Number patterns are based on operations and relationships * Capacity Matrix MA.05.521

MA.05.521.01.04 Generate two numerical patterns using given rules. (CAS: 5.2.1.a) (CCSS: 5.OA.3)

MA.05.521.03.04 Form ordered pairs consisting of corresponding terms from the two patterns, and graphs the ordered pairs on a coordinate plane. (CAS: 5.2.1.c) (CCSS: 5.OA.3)

MA.05.521.04.04 Explain informally relationships between corresponding terms in the patterns. (CAS: 5.2.1.d) (CCSS: 5.OA.3)

MA.05.521.06.04 Explain, extend, and use patterns and relationships in solving problems, including those involving saving and checking accounts such as understanding that spending more means saving less. (CAS: 5.2.1.f) (PFL)

## Data Analysis, Statistics, and Probability

**Measurement Topic:** *MA.05.531 Visual displays are used to interpret data* Capacity Matrix MA.05.531

MA.05.531.01.04 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). (CAS: 5.3.1.a.i) (CCSS: 5.MD.2)

MA.05.531.02.04 Use operations on fractions for this grade to solve problems involving information presented in line plots. (CAS: 5.3.1.a.ii) (CCSS: 5.MD.2)

## Shape, Dimension, and Geometric Relationships

**Measurement Topic:** *MA.05.541 Properties of multiplication and addition provide the foundation for volume an attribute of solids* Capacity Matrix MA.05.541

MA.05.541.01.04 Model the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes. (CAS: 5.4.1.a.i) (CCSS: 5.MD.5b)

MA.05.541.02.04 Show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. (CAS: 5.4.1.a.ii) (CCSS: 5.MD.5)

MA.05.541.03.04 Represent threefold whole-number products as volumes to represent the associative property of multiplication. (CAS: 5.4.1.a.iii) (CCSS: 5.MD.5a)

MA.05.541.05.04 Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths. (CAS: 5.4.1.b.ii) (CCSS: 5.MD.5b)

**Measurement Topic:** *MA.05.542 Geometric figures can be described by their attributes and specific locations in the plane * Capacity Matrix MA.05.542

MA.05.542.01.04 Graph points on the coordinate plane to solve real-world and mathematical problems. (CAS: 5.4.2.a) (CCSS: 5.G)

MA.05.542.02.04 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. (CAS: 5.4.2.b) (CCSS: 5.G.2)

MA.05.542.03.04 Explain that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. (CAS: 5.4.2.c.i) (CCSS: 5.G.3)

MA.05.542.04.04 Classify two-dimensional figures in a hierarchy based on properties. (CAS: 5.4.2.c.ii) (CCSS: 5.G.4)