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UT.3.G.GEOMETRY (3.G)
Reason with shapes and their attributes.3.G.1. Understand that shapes in different categories (for example, rhombuses, rectangles, and others) may share attributes (for example, having four sides), and that the shared attributes can define a larger category (for example, quadrilaterals). Recognize rho
3.G.2. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into four parts with equal area, and describe the area of each part as 1/4 of the area of the shape.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
UT.3.MD.MEASUREMENT AND DATA (3.MD)
MEASUREMENT AND DATA (3.MD)
Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. Represent and interpret data. Understand concepts of area and relate area to multiplication and addition. Recognize perimeter as an attribute 3.MD.1. Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, for example, by representing the problem on a number line diagram.Quiz, Flash Cards, Worksheet, Game & Study Guide Calendar 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.MD.2. Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), milliliters (ml), and liters (l). (Excludes compound units such as cubic centimeters [cc or cm3] and finding the geometric volume of a container.)Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
3.MD.3. Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. For example, draw a bar graph in whiQuiz, Flash Cards, Worksheet, Game & Study Guide Graphs
3.MD.4. 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.Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
3.MD.5. Recognize area as an attribute of plane figures and understand concepts of area measurement.3.MD.5.a. A square with side length one unit, called "a unit square," is said to have "one square unit" of area, and can be used to measure area.
3.MD.5.b. A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.
3.MD.6. Measure area by counting unit squares (square centimeters, square meters, square inches, square feet, and improvised units).
3.MD.7. Relate area to the operations of multiplication and addition.3.MD.7.a. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
3.MD.7.b. Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real-world and mathematical problems, and represent whole number products as rectangular areas in mathematical reasoning.
3.MD.7.c. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a x b and a x c. Use area models to represent the distributive property in mathematical reasoning.
3.MD.8. Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same areQuiz, Flash Cards, Worksheet, Game & Study Guide Perimeter Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
UT.3.MP.MATHEMATICAL PRACTICES (3.MP)
MATHEMATICAL PRACTICES (3.MP)
3.MP.1. Make sense of problems and persevere in solving them.
UT.3.NBT.NUMBER AND OPERATIONS IN BASE TEN (3.NBT)
NUMBER AND OPERATIONS IN BASE TEN (3.NBT)
Use place value understanding and properties of operations to perform multi-digit arithmetic. A range of algorithms may be used.3.NBT.1. Use place value understanding to round whole numbers to the nearest 10 or 100.Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
3.NBT.2. Fluently add and subtract within 1,000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
3.NBT.3. Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (for example, 9 x 80 and 5 x 60) using strategies based on place value and properties of operations.
UT.3.NF.NUMBER AND OPERATIONS—FRACTIONS (3.NF)
NUMBER AND OPERATIONS—FRACTIONS (3.NF)
Develop understanding of fractions as numbers. Denominators are limited to 2, 3, 4, 6, and 8 in third grade.3.NF.1. Understand that a unit fraction has a numerator of one and a non-zero denominator.3.NF.1.a. Understand a fraction 1/b as the quantity formed by one part when a whole is partitioned into b equal parts.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.NF.1.b. Understand a fraction a/b as the quantity formed by a parts of size 1/b. For example: 1/4 + 1/4 + 1/4 = 3/4.
3.NF.2. Understand a fraction as a number on the number line; represent fractions on a number line diagram.3.NF.2.a. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the nuQuiz, Flash Cards, Worksheet, Game & Study Guide Number Line
3.NF.2.b. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
3.NF.3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.3.NF.3.a. Understand two fractions as equivalent if they are the same size, or the same point on a number line.Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
3.NF.3.b. Recognize and generate simple equivalent fractions, such as 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent by using a visual fraction model, for example.Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
3.NF.3.c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. For example, express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.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.NF.3.d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or &Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
UT.3.OA.OPERATIONS AND ALGEBRAIC THINKING (3.OA)
OPERATIONS AND ALGEBRAIC THINKING (3.OA)
Represent and solve problems involving multiplication and division within 100. Demonstrate understanding of the properties of multiplication and the relationship between multiplication and division. Use the four operations to identify and explain patterns3.OA.1. Interpret the products of whole numbers, such as interpreting 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
3.OA.2. Interpret whole-number quotients of whole numbers. For example, interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into eight shares (partitive), or as a number of shares when 56 objects are partitioned into eqQuiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division
3.OA.3. Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities. For example, use drawings and equations with a symbol for the unknown number to represent the problem.
3.OA.5. Apply properties of operations as strategies to multiply and divide. For example: If 6 x 4 = 24 is known, then 4 x 6 = 24 is also known (commutative property of multiplication). 3 x 5 x 2 can be found by 3 x 5 = 15, then 15 x 2 = 30, or by 5 x 2 = 10, the
3.OA.6. Understand division as an unknown-factor problem. Understand the relationship between multiplication and division (multiplication and division are inverse operations). For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
3.OA.7. Fluently multiply and divide.3.OA.7.a. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations. (For example, knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8.)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.OA.7.b. By the end of Grade 3, know from memory all products of two one-digit numbers.
3.OA.8. Solve two-step word problems.3.OA.8.a. Solve two-step word problems using the four operations. Know how to perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations). (Limit to problems posed with whole numbers and having whol