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MS.3.G.Geometry (G)
Reason with shapes and their attributes3.G.1. Understand that shapes in different categories (e.g., rhombuses, rectangles, circles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rect
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 4 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
MS.3.MD.Measurement and Data (MD)
Measurement and Data (MD)
Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects3.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, e.g., 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), and liters (l).6 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures3.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 (including, but not limited to: modeling, drawing, designing, and creatingQuiz, Flash Cards, Worksheet, Game & Study Guide Perimeter Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Represent and interpret data3.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
Geometric measurement: understand concepts of area and relate area to multiplication and to addition3.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 1 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 areas by counting unit squares (square cm, square m, square in, square ft, 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 (where factors can be between 1 and 10, inclusively) in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas
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 × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
MS.3.NBT.Number and Operations in Base Ten (NBT)
Number and Operations in Base Ten (NBT)
Use place value understanding and properties of operations to perform multi-digit arithmetic3.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 (including subtracting across zeros) within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. Include problems with whole dollar amountsQuiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
3.NBT.3. 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.
MS.3.NF.Number and Operations—Fractions (NF)
Number and Operations—Fractions (NF)
Develop understanding of fractions as numbers3.NF.1. Understand 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.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.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 (equal) if they are the same size, or the same point on a number line. Recognize that comparisons are valid only when the two fractions refer to the same whole.Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
3.NF.3.b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.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. Examples: 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
MS.3.OA.Operations and Algebraic Thinking (OA)
Operations and Algebraic Thinking (OA)
Represent and solve problems involving multiplication and division3.OA.1. Interpret products of whole numbers, e.g., interpret 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, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objectsQuiz, 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, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Solve problems involving the four operations, and identify and explain patterns in arithmetic3.OA.8. Solve two-step (two operational steps) word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategi
Understand properties of multiplication and the relationship between multiplication and division3.OA.5. Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then
3.OA.6. Understand division as an unknown-factor problem, where a remainder does not exist. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8 with no remainder
Multiply and divide within 1003.OA.7. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. Know from memory all products of two one-digit numberQuiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
MS.MP.Standards for Mathematical Practice
Standards for Mathematical Practice
MP.1. Make sense of problems and persevere in solving them.