# SBS:Math Level 03 v4

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Math Level 03 Capacity Matrices

**Units**

- Math Level 04 Unit - Created by Kathie Morgan and Kathy Zook
- Math Level 04 Unit - Created by Bil Pfaffendorf

## Contents |

## Number Sense, Properties, and Operations

**Measurement Topic:** *MA.03.311 The whole number system describes place value relationships and forms the foundation for efficient algorithms* Capacity Matrix MA.03.311 - Everyday Math CM

MA.03.311.01.04 Use place value to round whole numbers to the nearest 10 or 100. (CAS: 3.1.1.a.i) (CCSS: 3.NBT.1)

MA.03.311.02.04 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. (CAS: 3.1.1.a.ii) (CCSS: 3.NBT.2)

MA.03.311.03.04 Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations. (CAS: 3.1.1.a.iii) (CCSS: 3.NBT.3)

**Measurement Topic:** *MA.03.312 Parts of a whole can be modeled and represented in different ways* Capacity Matrix MA.03.312 - Everyday Math CM

MA.03.312.01.04 Describe a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. (CAS: 3.1.2.a.i) (CCSS: 3.NF.1)

MA.03.312.02.04 Describe a fraction as a number on the number line; represent fractions on a number line diagram. (CAS: 3.1.2.a.ii) (CCSS: 3.NF.2)

MA.03.312.03.04 Identify two fractions as equivalent (equal) if they are the same size, or the same point on a number line. (CAS: 3.1.2.a.iii.1) (CCSS: 3.NF.3a)

MA.03.312.04.04 Identify and generate simple equivalent fractions. Explain3 why the fractions are equivalent. (CAS: 3.1.2.a.iii.2) (CCSS: 3.NF.3b)

MA.03.312.05.04 Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. (CAS: 3.1.2.a.iii.3) (CCSS: 3.NF.3c)

MA.03.312.06.04 Compare two fractions with the same numerator or the same denominator by reasoning about their size. (CAS: 3.1.2.a.iii.4) (CCSS: 3.NF.3d)

MA.03.312.07.04 Explain why comparisons are valid only when the two fractions refer to the same whole. (CAS: 3.1.2.a.iii.5) (CCSS: 3.NF.3d)

MA.03.312.08.04 Record the results of comparisons with the symbols >, =, or <, and justify the conclusions. (CAS: 3.1.2.a.iii.6) (CCSS: 3.NF.3d)

**Measurement Topic:** *MA.03.313 Multiplication and division are inverse operations and can be modeled in a variety of ways* Capacity Matrix MA.03.313 - Everyday Math CM

MA.03.313.01.04 Interpret products of whole numbers. (CAS: 3.1.3.a.i) (CCSS: 3.OA.1)

MA.03.313.02.04 Interpret whole-number quotients of whole numbers. (CAS: 3.1.3.a.ii) (CCSS: 3.OA.2)

MA.03.313.03.04 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities. (CAS: 3.1.3.a.iii) (CCSS: 3.OA.3)

MA.03.313.04.04 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. (CAS: 3.1.3.a.iv) (CCSS: 3.OA.4)

MA.03.313.05.04 Model strategies to achieve a personal financial goal using arithmetic operations (PFL) (CAS: 3.1.3.a.v)

MA.03.313.06.04 Apply properties of operations as strategies to multiply and divide. (CAS: 3.1.3.b.i) (CCSS: 3.OA.5)

MA.03.313.07.04 Interpret division as an unknown-factor problem. (CAS: 3.1.3.b.ii) (CCSS: 3.OA.6)

MA.03.313.08.04 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations. (CAS: 3.1.3.c.i) (CCSS: 3.OA.7)

MA.03.313.09.04 Recall from memory all products of two one-digit numbers. (CAS: 3.1.3.c.ii) (CCSS: 3.OA.7)

MA.03.313.10.04 Solve two-step word problems using the four operations. (CAS: 3.1.3.d.i) (CCSS: 3.OA.8)

MA.03.313.11.04 Represent two-step word problems using equations with a letter standing for the unknown quantity. (CAS: 3.1.3.d.ii) (CCSS: 3.OA.8)

MA.03.313.12.04 Assess the reasonableness of answers using mental computation and estimation strategies including rounding. (CAS: 3.1.3.d.iii) (CCSS: 3.OA.8)

MA.03.313.13.04 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. (CAS: 3.1.3.d.iv) (CCSS: 3.OA.9)

## Patterns, Functions, and Algebraic Structures

## Data Analysis, Statistics, and Probability

**Measurement Topic:** *MA.03.331 Visual displays are used to describe data* Capacity Matrix MA.04.331 - Everyday Math CM

MA.03.331.01.04 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. (CAS: 3.3.1.a.i) (CCSS: 3.MD.3)

MA.03.331.02.04 Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. (CAS: 3.3.1.a.ii) (CCSS: 3.MD.3)

MA.03.331.03.04 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters. (CAS: 3.3.1.a.iii) (CCSS: 3.MD.4)

## Shape, Dimension, and Geometric Relationships

**Measurement Topic:** *MA.03.341 Geometric figures are described by their attributes* Capacity Matrix MA.04.341 - Everyday Math CM

MA.03.341.01.04 Identify rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. (CAS:3.4.1.a.i.1) (CCSS: 3.G.1)

MA.03.341.02.04 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. (CAS:3.4.1.a.ii) (CCSS: 3.G.2)

**Measurement Topic:** *MA.03.342 Linear and area measurement are fundamentally different and require different units of measure* Capacity Matrix MA.03.342 - Everyday Math CM

MA.03.342.01.04 Recognize area as an attribute of plane figures and apply concepts of area measurement. (CAS: 3.4.2.a.i) (CCSS: 3.MD.5)

MA.03.342.02.04 Find area of rectangles with whole number side lengths using a variety of methods. (CAS: 3.4.2.a.ii) (CCSS: 3.MD.7a)

MA.03.342.03.04 Relate area to the operations of multiplication and addition and recognize area as additive. (CAS: 3.4.2.a.iii) (CCSS: 3.MD.7)

MA.03.342.04.04 Describe perimeter as an attribute of plane figures and distinguish between linear and area measures. (CAS: 3.4.2.b) (CCSS: 3.MD)

MA.03.342.05.04 Find the perimeter given the side lengths. (CAS: 3.4.2.c.i) (CCSS: 3.MD.8)

MA.03.342.06.04 Find an unknown side length given the perimeter. (CAS: 3.4.2.c.ii) (CCSS: 3.MD.8)

MA.03.342.07.04 Find rectangles with the same perimeter and different areas or with the same area and different perimeters. (CAS: 3.4.2.c.iii) (CCSS: 3.MD.8)

**Measurement Topic:** *MA.03.343 Time and attributes of objects can be measured with appropriate tools* Capacity Matrix MA.03.343 - Everyday Math CM

MA.03.343.01.04 Tell and write time to the nearest minute. (CAS: 3.4.3.a.i) (CCSS: 3.MD.1)

MA.03.343.02.04 Measure time intervals in minutes. (CAS: 3.4.3.a.ii) (CCSS: 3.MD.1)

MA.03.343.03.04 Solve word problems involving addition and subtraction of time intervals in minutes8 using a number line diagram. (CAS: 3.4.3.a.iii) (CCSS: 3.MD.1)

MA.03.343.04.04 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). (CAS: 3.4.3.a.iv) (CCSS: 3.MD.2)

MA.03.343.05.04 Use models to add, subtract, multiply, or divide to solve onestep word problems involving masses or volumes that are given in the same units. (CAS: 3.4.3.a.v) (CCSS: 3.MD.2)