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CO.3.1.Number Sense, Properties, and Operations
Number Sense, Properties, and Operations
3.1.1. The whole number system describes place value relationships and forms the foundation for efficient algorithms. Students can:3.1.1.a. Use place value and properties of operations to perform multi-digit arithmetic. (CCSS: 3.NBT)3.1.1.a.i. Use place value to round whole numbers to the nearest 10 or 100. (CCSS: 3.NBT.1)Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
3.1.1.a.ii. 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. (CCSS: 3.NBT.2)Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
3.1.1.a.iii. Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations. (CCSS: 3.NBT.3)
3.1.2. Parts of a whole can be modeled and represented in different ways. Students can:3.1.2.a. Develop understanding of fractions as numbers. (CCSS: 3.NF)3.1.2.a.i. Describe a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; describe a fraction a/b as the quantity formed by a parts of size 1/b. (CCSS: 3.NF.1)Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
3.1.2.a.ii. Describe a fraction as a number on the number line; represent fractions on a number line diagram. (CCSS: 3.NF.2)Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
3.1.2.a.iii. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. (CCSS: 3.NF.3)3.1.2.a.iii.1. Identify two fractions as equivalent (equal) if they are the same size, or the same point on a number line. (CCSS: 3.NF.3a)Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
3.1.2.a.iii.2. Identify and generate simple equivalent fractions. Explain why the fractions are equivalent. (CCSS: 3.NF.3b)Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
3.1.2.a.iii.3. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. (CCSS: 3.NF.3c)Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
3.1.2.a.iii.4. Compare two fractions with the same numerator or the same denominator by reasoning about their size. (CCSS: 3.NF.3d)Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
3.1.2.a.iii.5. Explain why comparisons are valid only when the two fractions refer to the same whole. (CCSS: 3.NF.3d)Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
3.1.2.a.iii.6. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions. (CCSS: 3.NF.3d)Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
3.1.3. Multiplication and division are inverse operations and can be modeled in a variety of ways. Students can:3.1.3.a. Represent and solve problems involving multiplication and division. (CCSS: 3.OA)3.1.3.a.i. Interpret products of whole numbers. (CCSS: 3.OA.1)Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
3.1.3.a.ii. Interpret whole-number quotients of whole numbers. (CCSS: 3.OA.2)Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division
3.1.3.a.iii. Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities. (CCSS: 3.OA.3)
3.1.3.b. Apply properties of multiplication and the relationship between multiplication and division. (CCSS: 3.OA)3.1.3.b.i. Apply properties of operations as strategies to multiply and divide. (CCSS: 3.OA.5)Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division
3.1.3.b.ii. Interpret division as an unknown-factor problem. (CCSS: 3.OA.6)Quiz, Flash Cards, Worksheet, Game & Study Guide Division
3.1.3.c. Multiply and divide within 100. (CCSS: 3.OA)3.1.3.c.i. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations. (CCSS: 3.OA.7)Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
3.1.3.c.ii. Recall from memory all products of two one-digit numbers. (CCSS: 3.OA.7)
3.1.3.d. Solve problems involving the four operations, and identify and explain patterns in arithmetic. (CCSS: 3.OA)3.1.3.d.i. Solve two-step word problems using the four operations. (CCSS: 3.OA.8)
3.1.3.d.ii. Represent two-step word problems using equations with a letter standing for the unknown quantity. (CCSS: 3.OA.8)
3.1.3.d.iii. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. (CCSS: 3.OA.8)Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
CO.3.3.Data Analysis, Statistics, and Probability
Data Analysis, Statistics, and Probability
3.3.1. Visual displays are used to describe data. Students can:3.3.1.a. Represent and interpret data. (CCSS: 3.MD)3.3.1.a.ii. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs. (CCSS: 3.MD.3)Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs
3.3.1.a.iii. 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. (CCSS: 3.MD.4)Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
CO.3.4.Shape, Dimension, and Geometric Relationships
Shape, Dimension, and Geometric Relationships
3.4.1. Geometric figures are described by their attributes. Students can:3.4.1.a. Reason with shapes and their attributes. (CCSS: 3.G)3.4.1.a.i. Explain that shapes in different categories may share attributes and that the shared attributes can define a larger category. (CCSS: 3.G.1)3.4.1.a.i.1. Identify rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. (CCSS: 3.G.1)
3.4.1.a.ii. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. (CCSS: 3.G.2)Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
3.4.2. Linear and area measurement are fundamentally different and require different units of measure. Students can:3.4.2.a. Use concepts of area and relate area to multiplication and to addition. (CCSS: 3.MD)3.4.2.a.i. Recognize area as an attribute of plane figures and apply concepts of area measurement. (CCSS: 3.MD.5)
3.4.2.a.ii. Find area of rectangles with whole number side lengths using a variety of methods. (CCSS: 3.MD.7a)
3.4.2.a.iii. Relate area to the operations of multiplication and addition and recognize area as additive. (CSSS: 3.MD.7)
3.4.2.b. Describe perimeter as an attribute of plane figures and distinguish between linear and area measures. (CCSS: 3.MD)Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
3.4.2.c. Solve real world and mathematical problems involving perimeters of polygons. (CCSS: 3.MD.8)3.4.2.c.i. Find the perimeter given the side lengths. (CCSS: 3.MD.8)Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
3.4.3. Time and attributes of objects can be measured with appropriate tools. Students can:3.4.3.a. Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. (CCSS: 3.MD)3.4.3.a.i. Tell and write time to the nearest minute. (CCSS: 3.MD.1)Quiz, Flash Cards, Worksheet, Game & Study Guide Time Quiz, Flash Cards, Worksheet, Game & Study Guide Time Quiz, Flash Cards, Worksheet, Game & Study Guide Time
3.4.3.a.ii. Measure time intervals in minutes. (CCSS: 3.MD.1)Quiz, Flash Cards, Worksheet, Game & Study Guide Time Quiz, Flash Cards, Worksheet, Game & Study Guide Time Quiz, Flash Cards, Worksheet, Game & Study Guide Time
3.4.3.a.iv. Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). (CCSS: 3.MD.2)Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement