3.OA Operations and Algebraic Thinking - 3.OA.A Represent and solve problems involving multiplication and division.
- 3.OA.A.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
- Count equal groups (Third grade - E.1)
- Identify multiplication sentences for equal groups (Third grade - E.2)
- Write multiplication sentences for equal groups (Third grade - E.3)
- Relate addition and multiplication for equal groups (Third grade - E.4)
- Write multiplication sentences for arrays (Third grade - E.5)
- Make arrays to model multiplication (Third grade - E.6)
- Write multiplication sentences for number lines (Third grade - E.7)
- Relate addition and multiplication (Third grade - K.9)
- 3.OA.A.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 objects each.
- 3.OA.A.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.
- Write multiplication sentences for equal groups (Third grade - E.3)
- Multiplication word problems - facts to 12 (Third grade - F.2)
- Missing factors - facts to 12 - word problems (Third grade - F.4)
- Multiply three or more numbers - word problems (Third grade - F.12)
- Multiplication input/output tables: find the rule (Third grade - F.14)
- Division word problems - facts to 10 (Third grade - H.3)
- Divide three-digit numbers - word problems (Third grade - H.9)
- Division input/output tables: find the rule (Third grade - H.15)
- 3.OA.A.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
- 3.OA.B Understand properties of multiplication and the relationship between multiplication and division.
- 3.OA.B.5 Apply properties of operations as strategies to multiply and divide.
- 3.OA.B.6 Understand division as an unknown-factor problem.
- 3.OA.C Multiply and divide within 100.
- 3.OA.C.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. By the end of Grade 3, know from memory all products of two one-digit numbers.
- Multiplication - facts to 12 (Third grade - F.1)
- Squares up to 20 (Third grade - F.5)
- Multiply by 0 (Third grade - G.1)
- Multiply by 1 (Third grade - G.2)
- Multiply by 2 (Third grade - G.3)
- Multiply by 3 (Third grade - G.4)
- Multiply by 4 (Third grade - G.5)
- Multiply by 5 (Third grade - G.6)
- Multiply by 6 (Third grade - G.7)
- Multiply by 7 (Third grade - G.8)
- Multiply by 8 (Third grade - G.9)
- Multiply by 9 (Third grade - G.10)
- Multiply by 11 (Third grade - G.12)
- Multiply by 12 (Third grade - G.13)
- Multiplication tables for 2, 3, 4, 5, and 10 (Third grade - G.14)
- Multiplication facts for 2, 3, 4, 5, 10: true or false? (Third grade - G.15)
- Multiplication facts for 2, 3, 4, 5, and 10: sorting (Third grade - G.16)
- Multiplication tables for 6, 7, 8, and 9 (Third grade - G.17)
- Multiplication facts for 6, 7, 8, 9: true or false? (Third grade - G.18)
- Multiplication facts for 6, 7, 8, and 9: sorting (Third grade - G.19)
- Multiplication tables up to 10 (Third grade - G.20)
- Multiplication facts up to 10: true or false? (Third grade - G.21)
- Multiplication facts up to 10: sorting (Third grade - G.22)
- Multiplication sentences up to 10: true or false? (Third grade - G.23)
- Division facts to 5 (Third grade - H.1)
- Division facts to 10 (Third grade - H.2)
- Division facts to 12 (Third grade - H.5)
- Divide by 1 (Third grade - I.1)
- Divide by 2 (Third grade - I.2)
- Divide by 3 (Third grade - I.3)
- Divide by 4 (Third grade - I.4)
- Divide by 5 (Third grade - I.5)
- Divide by 6 (Third grade - I.6)
- Divide by 7 (Third grade - I.7)
- Divide by 8 (Third grade - I.8)
- Divide by 9 (Third grade - I.9)
- Division facts for 2, 3, 4, 5, 10: true or false? (Third grade - I.13)
- Division facts for 2, 3, 4, 5, and 10: sorting (Third grade - I.14)
- Division facts for 6, 7, 8, 9: true or false? (Third grade - I.15)
- Division facts for 6, 7, 8, and 9: sorting (Third grade - I.16)
- Division facts up to 10: true or false? (Third grade - I.17)
- Division facts up to 10: sorting (Third grade - I.18)
- Division sentences up to 10: true or false? (Third grade - I.19)
- Multiplication and division facts up to 5: true or false? (Third grade - J.3)
- Multiplication and division facts up to 10: true or false? (Third grade - J.4)
- Multiplication and division facts up to 12: true or false? (Third grade - J.5)
- Multiplication and division sentences up to 12: true or false? (Third grade - J.6)
- Solve using properties of multiplication (Third grade - K.6)
- Relate multiplication and division (Third grade - K.10)
- 3.OA.D Solve problems involving the four operations, and identify and explain patterns in arithmetic.
- 3.OA.D.8 Solve two-step 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 strategies including rounding.
- Addition, subtraction, multiplication, and division facts (Third grade - J.1)
- Complete the addition, subtraction, multiplication, or division sentence (Third grade - J.2)
- Add, subtract, multiply, and divide (Third grade - J.7)
- Addition, subtraction, multiplication, and division word problems (Third grade - J.9)
- Multi-step word problems (Third grade - J.11)
- Solve for the variable: addition and subtraction (Third grade - L.2)
- Solve for the variable: addition, subtraction, multiplication, and division (Third grade - L.4)
- Write variable equations to represent word problems (Third grade - L.5)
- Rounding - nearest ten or hundred only (Third grade - M.1)
- Rounding (Third grade - M.2)
- Solve inequalities using estimation (Third grade - M.5)
- Estimate sums - up to 1,000 only (Third grade - M.6)
- Estimate sums (Third grade - M.7)
- Estimate products (Third grade - M.8)
- Estimate quotients (Third grade - M.9)
- 3.OA.D.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.
3.NBT Number and Operations in Base Ten - 3.NBT.A Use place value understanding and properties of operations to perform multi-digit arithmetic.
- 3.NBT.A.1 Use place value understanding to round whole numbers to the nearest 10 or 100.
- 3.NBT.A.2 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.
- Value of a digit (Third grade - B.3)
- Identify the digit with a particular place value (Third grade - B.4)
- Convert from expanded form (Third grade - B.7)
- Add two numbers up to three digits (Third grade - C.1)
- Add two numbers up to three digits - word problems (Third grade - C.3)
- Complete the addition sentence - up to three digits (Third grade - C.4)
- Balance addition equations - up to three digits (Third grade - C.5)
- Addition patterns over increasing place values (Third grade - C.8)
- Subtract numbers up to three digits (Third grade - D.1)
- Subtract numbers up to three digits - word problems (Third grade - D.3)
- Complete the subtraction sentence - up to three digits (Third grade - D.4)
- Balance subtraction equations - up to three digits (Third grade - D.5)
- Subtraction patterns over increasing place values (Third grade - D.6)
- Properties of addition (Third grade - K.3)
- Solve using properties of addition (Third grade - K.4)
- 3.NBT.A.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.
3.NF Number and Operations—Fractions - 3.NF.A Develop understanding of fractions as numbers.
- 3.NF.A.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.
- Identify equal parts (Third grade - T.1)
- Identify halves, thirds, and fourths (Third grade - T.2)
- Understand fractions: fraction bars (Third grade - T.3)
- Understand fractions: area models (Third grade - T.4)
- Match unit fractions to models (Third grade - T.5)
- Match fractions to models (Third grade - T.6)
- Show fractions: fraction bars (Third grade - T.7)
- Show fractions: area models (Third grade - T.8)
- Fractions of a whole: modeling word problems (Third grade - T.16)
- Unit fractions: word problems (Third grade - T.17)
- Fractions of a whole: word problems (Third grade - T.18)
- 3.NF.A.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram.
- 3.NF.A.2a 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 number line.
- 3.NF.A.2b 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.
- 3.NF.A.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
- 3.NF.A.3a Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
- Identify equivalent fractions on number lines (Third grade - U.1)
- Find equivalent fractions using number lines (Third grade - U.2)
- Graph equivalent fractions on number lines (Third grade - U.3)
- Fractions equivalent to whole numbers: match fractions to models (Third grade - U.4)
- Find equivalent fractions using area models (Third grade - U.5)
- Graph fractions equivalent to 1 on number lines (Third grade - U.7)
- Compare fractions (Third grade - V.6)
- Graph and order fractions on number lines (Third grade - V.9)
- 3.NF.A.3b 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.
- 3.NF.A.3c Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
- Match mixed numbers to models (Third grade - T.20)
- Word names for mixed numbers (Third grade - T.21)
- Fractions equivalent to whole numbers: match fractions to models (Third grade - U.4)
- Graph fractions equivalent to 1 on number lines (Third grade - U.7)
- Fractions equivalent to whole numbers (Third grade - U.8)
- 3.NF.A.3d 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 <, and justify the conclusions, e.g., by using a visual fraction model.
- Graph smaller or larger fractions on a number line (Third grade - T.15)
- Compare fractions using models (Third grade - V.1)
- Compare fractions using number lines (Third grade - V.2)
- Graph and compare fractions with like denominators on number lines (Third grade - V.3)
- Graph and compare fractions with like numerators on number lines (Third grade - V.4)
- Compare fractions (Third grade - V.6)
- Compare fractions in recipes (Third grade - V.7)
- Order fractions with like numerators (Third grade - V.10)
- Order fractions with like denominators (Third grade - V.11)
- Order fractions (Third grade - V.12)
3.MD Measurement and Data - 3.MD.A Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
- 3.MD.A.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.
- 3.MD.A.2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.
- 3.MD.B Represent and interpret data.
- 3.MD.B.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.
- 3.MD.B.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.
- 3.MD.C Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
- 3.MD.C.5 Recognize area as an attribute of plane figures and understand concepts of area measurement.
- 3.MD.C.5a 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.C.5b 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.C.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
- 3.MD.C.7 Relate area to the operations of multiplication and addition.
- 3.MD.C.7a 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.C.7b 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.C.7c 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.
- 3.MD.C.7d Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
- 3.MD.D Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
- 3.MD.D.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 area and different perimeters.
3.G Geometry - 3.G.A Reason with shapes and their attributes.
- 3.G.A.1 Understand that shapes in different categories (e.g., rhombuses, rectangles, 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, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
- 3.G.A.2 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
- 3.OA.A.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
- Count equal groups (Third grade - E.1)
- Identify multiplication sentences for equal groups (Third grade - E.2)
- Write multiplication sentences for equal groups (Third grade - E.3)
- Relate addition and multiplication for equal groups (Third grade - E.4)
- Write multiplication sentences for arrays (Third grade - E.5)
- Make arrays to model multiplication (Third grade - E.6)
- Write multiplication sentences for number lines (Third grade - E.7)
- Relate addition and multiplication (Third grade - K.9)
- 3.OA.A.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 objects each.
- 3.OA.A.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.
- Write multiplication sentences for equal groups (Third grade - E.3)
- Multiplication word problems - facts to 12 (Third grade - F.2)
- Missing factors - facts to 12 - word problems (Third grade - F.4)
- Multiply three or more numbers - word problems (Third grade - F.12)
- Multiplication input/output tables: find the rule (Third grade - F.14)
- Division word problems - facts to 10 (Third grade - H.3)
- Divide three-digit numbers - word problems (Third grade - H.9)
- Division input/output tables: find the rule (Third grade - H.15)
- 3.OA.A.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
- 3.OA.B.5 Apply properties of operations as strategies to multiply and divide.
- 3.OA.B.6 Understand division as an unknown-factor problem.
- 3.OA.C.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. By the end of Grade 3, know from memory all products of two one-digit numbers.
- Multiplication - facts to 12 (Third grade - F.1)
- Squares up to 20 (Third grade - F.5)
- Multiply by 0 (Third grade - G.1)
- Multiply by 1 (Third grade - G.2)
- Multiply by 2 (Third grade - G.3)
- Multiply by 3 (Third grade - G.4)
- Multiply by 4 (Third grade - G.5)
- Multiply by 5 (Third grade - G.6)
- Multiply by 6 (Third grade - G.7)
- Multiply by 7 (Third grade - G.8)
- Multiply by 8 (Third grade - G.9)
- Multiply by 9 (Third grade - G.10)
- Multiply by 11 (Third grade - G.12)
- Multiply by 12 (Third grade - G.13)
- Multiplication tables for 2, 3, 4, 5, and 10 (Third grade - G.14)
- Multiplication facts for 2, 3, 4, 5, 10: true or false? (Third grade - G.15)
- Multiplication facts for 2, 3, 4, 5, and 10: sorting (Third grade - G.16)
- Multiplication tables for 6, 7, 8, and 9 (Third grade - G.17)
- Multiplication facts for 6, 7, 8, 9: true or false? (Third grade - G.18)
- Multiplication facts for 6, 7, 8, and 9: sorting (Third grade - G.19)
- Multiplication tables up to 10 (Third grade - G.20)
- Multiplication facts up to 10: true or false? (Third grade - G.21)
- Multiplication facts up to 10: sorting (Third grade - G.22)
- Multiplication sentences up to 10: true or false? (Third grade - G.23)
- Division facts to 5 (Third grade - H.1)
- Division facts to 10 (Third grade - H.2)
- Division facts to 12 (Third grade - H.5)
- Divide by 1 (Third grade - I.1)
- Divide by 2 (Third grade - I.2)
- Divide by 3 (Third grade - I.3)
- Divide by 4 (Third grade - I.4)
- Divide by 5 (Third grade - I.5)
- Divide by 6 (Third grade - I.6)
- Divide by 7 (Third grade - I.7)
- Divide by 8 (Third grade - I.8)
- Divide by 9 (Third grade - I.9)
- Division facts for 2, 3, 4, 5, 10: true or false? (Third grade - I.13)
- Division facts for 2, 3, 4, 5, and 10: sorting (Third grade - I.14)
- Division facts for 6, 7, 8, 9: true or false? (Third grade - I.15)
- Division facts for 6, 7, 8, and 9: sorting (Third grade - I.16)
- Division facts up to 10: true or false? (Third grade - I.17)
- Division facts up to 10: sorting (Third grade - I.18)
- Division sentences up to 10: true or false? (Third grade - I.19)
- Multiplication and division facts up to 5: true or false? (Third grade - J.3)
- Multiplication and division facts up to 10: true or false? (Third grade - J.4)
- Multiplication and division facts up to 12: true or false? (Third grade - J.5)
- Multiplication and division sentences up to 12: true or false? (Third grade - J.6)
- Solve using properties of multiplication (Third grade - K.6)
- Relate multiplication and division (Third grade - K.10)
- 3.OA.D.8 Solve two-step 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 strategies including rounding.
- Addition, subtraction, multiplication, and division facts (Third grade - J.1)
- Complete the addition, subtraction, multiplication, or division sentence (Third grade - J.2)
- Add, subtract, multiply, and divide (Third grade - J.7)
- Addition, subtraction, multiplication, and division word problems (Third grade - J.9)
- Multi-step word problems (Third grade - J.11)
- Solve for the variable: addition and subtraction (Third grade - L.2)
- Solve for the variable: addition, subtraction, multiplication, and division (Third grade - L.4)
- Write variable equations to represent word problems (Third grade - L.5)
- Rounding - nearest ten or hundred only (Third grade - M.1)
- Rounding (Third grade - M.2)
- Solve inequalities using estimation (Third grade - M.5)
- Estimate sums - up to 1,000 only (Third grade - M.6)
- Estimate sums (Third grade - M.7)
- Estimate products (Third grade - M.8)
- Estimate quotients (Third grade - M.9)
- 3.OA.D.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.
- 3.NBT.A.1 Use place value understanding to round whole numbers to the nearest 10 or 100.
- 3.NBT.A.2 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.
- Value of a digit (Third grade - B.3)
- Identify the digit with a particular place value (Third grade - B.4)
- Convert from expanded form (Third grade - B.7)
- Add two numbers up to three digits (Third grade - C.1)
- Add two numbers up to three digits - word problems (Third grade - C.3)
- Complete the addition sentence - up to three digits (Third grade - C.4)
- Balance addition equations - up to three digits (Third grade - C.5)
- Addition patterns over increasing place values (Third grade - C.8)
- Subtract numbers up to three digits (Third grade - D.1)
- Subtract numbers up to three digits - word problems (Third grade - D.3)
- Complete the subtraction sentence - up to three digits (Third grade - D.4)
- Balance subtraction equations - up to three digits (Third grade - D.5)
- Subtraction patterns over increasing place values (Third grade - D.6)
- Properties of addition (Third grade - K.3)
- Solve using properties of addition (Third grade - K.4)
- 3.NBT.A.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.
- 3.NF.A.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.
- Identify equal parts (Third grade - T.1)
- Identify halves, thirds, and fourths (Third grade - T.2)
- Understand fractions: fraction bars (Third grade - T.3)
- Understand fractions: area models (Third grade - T.4)
- Match unit fractions to models (Third grade - T.5)
- Match fractions to models (Third grade - T.6)
- Show fractions: fraction bars (Third grade - T.7)
- Show fractions: area models (Third grade - T.8)
- Fractions of a whole: modeling word problems (Third grade - T.16)
- Unit fractions: word problems (Third grade - T.17)
- Fractions of a whole: word problems (Third grade - T.18)
- 3.NF.A.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram.
- 3.NF.A.2a 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 number line.
- 3.NF.A.2b 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.
- 3.NF.A.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
- 3.NF.A.3a Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
- Identify equivalent fractions on number lines (Third grade - U.1)
- Find equivalent fractions using number lines (Third grade - U.2)
- Graph equivalent fractions on number lines (Third grade - U.3)
- Fractions equivalent to whole numbers: match fractions to models (Third grade - U.4)
- Find equivalent fractions using area models (Third grade - U.5)
- Graph fractions equivalent to 1 on number lines (Third grade - U.7)
- Compare fractions (Third grade - V.6)
- Graph and order fractions on number lines (Third grade - V.9)
- 3.NF.A.3b 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.
- 3.NF.A.3c Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
- Match mixed numbers to models (Third grade - T.20)
- Word names for mixed numbers (Third grade - T.21)
- Fractions equivalent to whole numbers: match fractions to models (Third grade - U.4)
- Graph fractions equivalent to 1 on number lines (Third grade - U.7)
- Fractions equivalent to whole numbers (Third grade - U.8)
- 3.NF.A.3d 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 <, and justify the conclusions, e.g., by using a visual fraction model.
- Graph smaller or larger fractions on a number line (Third grade - T.15)
- Compare fractions using models (Third grade - V.1)
- Compare fractions using number lines (Third grade - V.2)
- Graph and compare fractions with like denominators on number lines (Third grade - V.3)
- Graph and compare fractions with like numerators on number lines (Third grade - V.4)
- Compare fractions (Third grade - V.6)
- Compare fractions in recipes (Third grade - V.7)
- Order fractions with like numerators (Third grade - V.10)
- Order fractions with like denominators (Third grade - V.11)
- Order fractions (Third grade - V.12)
- 3.NF.A.3a Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
- 3.MD.A.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.
- 3.MD.A.2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.
- 3.MD.B.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.
- 3.MD.B.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.
- 3.MD.C.5 Recognize area as an attribute of plane figures and understand concepts of area measurement.
- 3.MD.C.5a 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.C.5b 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.C.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
- 3.MD.C.7 Relate area to the operations of multiplication and addition.
- 3.MD.C.7a 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.C.7b 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.C.7c 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.
- 3.MD.C.7d Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
- 3.MD.D.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 area and different perimeters.
- 3.G.A.1 Understand that shapes in different categories (e.g., rhombuses, rectangles, 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, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
- 3.G.A.2 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.