Skills available for
Illinois third-grade math standards
Standards
are in bold, followed by a list of the IXL math
skills that are aligned to that
standard.
Students can practice
these skills
online at www.ixl.com.
Standards: Illinois Learning Standards Incorporating the Common Core
C.3.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.
Count equal groups (3-E.1)
Identify multiplication expressions for equal groups (3-E.2)
Write multiplication sentences for equal groups (3-E.3)
Relate addition and multiplication for equal groups (3-E.4)
Identify multiplication expressions for arrays (3-E.5)
Write multiplication sentences for arrays (3-E.6)
Make arrays to model multiplication (3-E.7)
Write multiplication sentences for number lines (3-E.8)
Relate addition and multiplication (3-N.9)
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 objects each.
Divide by counting equal groups (3-I.1)
Write division sentences for groups (3-I.2)
Write division sentences for arrays (3-I.4)
Complete the division table (3-L.1)
Division word problems (3-L.6)
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.
Write multiplication sentences for equal groups (3-E.3)
Multiplication input/output tables: find the rule (3-H.5)
Multiplication word problems (3-H.6)
Multiplication word problems: find the missing factor (3-H.7)
Multiply three or more numbers: word problems (3-H.13)
Division input/output tables: find the rule (3-L.5)
Division word problems (3-L.6)
Divide three-digit numbers: word problems (3-L.8)
3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
Multiplication facts for 2, 3, 4, 5, and 10: find the missing factor (3-G.4)
Multiplication facts for 6, 7, 8, and 9: find the missing factor (3-G.8)
Multiplication facts up to 10: find the missing factor (3-G.12)
Multiplication facts up to 12: find the missing factor (3-G.17)
Division facts up to 10: find the missing number (3-K.10)
3.OA.5 Apply properties of operations as strategies to multiply and divide.
Properties of multiplication (3-N.5)
Solve using properties of multiplication (3-N.6)
Distributive property: find the missing factor (3-N.7)
Multiply using the distributive property (3-N.8)
Relate multiplication and division (3-N.10)
3.OA.6 Understand division as an unknown-factor problem.
Multiplication facts up to 12: find the missing factor (3-G.17)
Multiplication word problems: find the missing factor (3-H.7)
Relate multiplication and division for groups (3-I.3)
Relate multiplication and division for arrays (3-I.5)
Relate multiplication and division (3-N.10)
3.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. By the end of Grade 3, know from memory all products of two one-digit numbers.
Multiply by 0 (3-F.1)
Multiply by 1 (3-F.2)
Multiply by 2 (3-F.3)
Multiply by 3 (3-F.4)
Multiply by 4 (3-F.5)
Multiply by 5 (3-F.6)
Multiply by 6 (3-F.7)
Multiply by 7 (3-F.8)
Multiply by 8 (3-F.9)
Multiply by 9 (3-F.10)
Multiply by 11 (3-F.12)
Multiply by 12 (3-F.13)
Multiplication tables for 2, 3, 4, 5, and 10 (3-G.1)
Multiplication facts for 2, 3, 4, 5, and 10: true or false? (3-G.2)
Multiplication facts for 2, 3, 4, 5, and 10: sorting (3-G.3)
Multiplication tables for 6, 7, 8, and 9 (3-G.5)
Multiplication facts for 6, 7, 8, and 9: true or false? (3-G.6)
Multiplication facts for 6, 7, 8, and 9: sorting (3-G.7)
Multiplication tables up to 10 (3-G.9)
Multiplication facts up to 10: true or false? (3-G.10)
Multiplication facts up to 10: sorting (3-G.11)
Multiplication facts up to 10: select the missing factors (3-G.13)
Multiplication sentences up to 10: true or false? (3-G.14)
Multiplication tables up to 12 (3-G.15)
Squares up to 10 x 10 (3-G.20)
Divide by 1 (3-J.1)
Divide by 2 (3-J.2)
Divide by 3 (3-J.3)
Divide by 4 (3-J.4)
Divide by 5 (3-J.5)
Divide by 6 (3-J.6)
Divide by 7 (3-J.7)
Divide by 8 (3-J.8)
Divide by 9 (3-J.9)
Division facts for 2, 3, 4, 5, and 10 (3-K.1)
Division facts for 2, 3, 4, 5, and 10: true or false? (3-K.2)
Division facts for 2, 3, 4, 5, and 10: sorting (3-K.3)
Division facts for 6, 7, 8, and 9 (3-K.4)
Division facts for 6, 7, 8, and 9: true or false? (3-K.5)
Division facts for 6, 7, 8, and 9: sorting (3-K.6)
Division facts up to 10 (3-K.7)
Division facts up to 10: true or false? (3-K.8)
Division facts up to 10: sorting (3-K.9)
Division facts up to 10: find the missing number (3-K.10)
Division facts up to 10: select the missing numbers (3-K.11)
Division sentences up to 10: true or false? (3-K.12)
Division facts up to 12 (3-K.13)
Multiplication and division facts up to 5: true or false? (3-M.3)
Multiplication and division facts up to 10: true or false? (3-M.4)
Multiplication and division facts up to 12: true or false? (3-M.5)
Multiplication and division sentences up to 12: true or false? (3-M.6)
Solve using properties of multiplication (3-N.6)
Relate multiplication and division (3-N.10)
3.OA.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 (3-M.1)
Complete the addition, subtraction, multiplication, or division sentence (3-M.2)
Add, subtract, multiply, and divide (3-M.7)
Addition, subtraction, multiplication, and division word problems (3-M.9)
Multi-step word problems (3-M.11)
Solve for the variable: addition and subtraction (3-O.2)
Solve for the variable: addition, subtraction, multiplication, and division (3-O.4)
Write variable equations to represent word problems (3-O.5)
Rounding - nearest ten or hundred only (3-P.1)
Rounding (3-P.2)
Solve inequalities using estimation (3-P.5)
3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.
Addition input/output tables - up to three digits (3-C.2)
Subtraction input/output tables - up to three digits (3-D.2)
Multiplication input/output tables (3-H.4)
Division input/output tables (3-L.4)
3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100.
Rounding - nearest ten or hundred only (3-P.1)
3.NBT.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.
Convert from expanded form (3-B.7)
Add two numbers up to three digits (3-C.1)
Add two numbers up to three digits - word problems (3-C.3)
Complete the addition sentence - up to three digits (3-C.4)
Balance addition equations - up to three digits (3-C.5)
Addition patterns over increasing place values (3-C.8)
Subtract numbers up to three digits (3-D.1)
Subtract numbers up to three digits - word problems (3-D.3)
Complete the subtraction sentence - up to three digits (3-D.4)
Balance subtraction equations - up to three digits (3-D.5)
Subtraction patterns over increasing place values (3-D.6)
Properties of addition (3-N.3)
Solve using properties of addition (3-N.4)
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.
Place value names up to hundred thousands (3-B.3)
Value of a digit (3-B.4)
Multiply by 10 (3-F.11)
Multiply by a multiple of ten (3-H.1)
3.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.
Identify equal parts (3-X.1)
Identify halves, thirds, and fourths (3-X.2)
Understand fractions: fraction bars (3-X.3)
Understand fractions: area models (3-X.4)
Match unit fractions to models (3-X.5)
Match fractions to models (3-X.6)
Show fractions: fraction bars (3-X.7)
Show fractions: area models (3-X.8)
Fractions of a whole: modeling word problems (3-X.16)
Unit fractions: word problems (3-X.17)
Fractions of a whole: word problems (3-X.18)
3.NF.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram.
3.NF.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.
Fractions of number lines: unit fractions (3-X.9)
Fractions of number lines (3-X.10)
Identify unit fractions on number lines (3-X.11)
Identify fractions on number lines (3-X.12)
Graph unit fractions on number lines (3-X.13)
3.NF.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.
Identify fractions on number lines (3-X.12)
Graph fractions on number lines (3-X.14)
3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
3.NF.3a Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
Find equivalent fractions using area models (3-Y.1)
Identify equivalent fractions on number lines (3-Y.2)
Find equivalent fractions using number lines (3-Y.3)
Graph equivalent fractions on number lines (3-Y.4)
Select fractions equivalent to whole numbers using area models (3-Y.7)
Graph fractions equivalent to 1 on number lines (3-Y.8)
Graph and compare fractions on number lines (3-Z.5)
Compare fractions (3-Z.6)
Graph and order fractions on number lines (3-Z.9)
3.NF.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.
Select equivalent fractions (3-Y.5)
Find equivalent fractions (3-Y.6)
Find equivalent fractions with denominators of 10 and 100 (3-Y.10)
Reduce fractions to lowest terms (3-Y.11)
Order fractions (3-Z.12)
3.NF.3c Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
Match mixed numbers to models (3-X.20)
Word names for mixed numbers (3-X.21)
Select fractions equivalent to whole numbers using area models (3-Y.7)
Graph fractions equivalent to 1 on number lines (3-Y.8)
Find fractions equivalent to whole numbers (3-Y.9)
3.NF.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 (3-X.15)
Compare fractions using models (3-Z.1)
Compare fractions using number lines (3-Z.2)
Graph and compare fractions with like denominators on number lines (3-Z.3)
Graph and compare fractions with like numerators on number lines (3-Z.4)
Compare fractions (3-Z.6)
Compare fractions in recipes (3-Z.7)
Order fractions with like denominators (3-Z.10)
Order fractions with like numerators (3-Z.11)
Order fractions (3-Z.12)
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, e.g., by representing the problem on a number line diagram.
Match clocks and times (3-T.1)
Match analog and digital clocks (3-T.2)
Read clocks and write times (3-T.3)
A.M. or P.M. (3-T.4)
Write times (3-T.5)
Elapsed time I (3-T.6)
Elapsed time II (3-T.7)
Time patterns (3-T.8)
Timelines (3-T.13)
3.MD.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.
Which metric unit of weight is appropriate? (3-V.14)
Which metric unit of volume is appropriate? (3-V.15)
Which metric unit is appropriate? (3-V.16)
Compare fractions in recipes (3-Z.7)
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.
Interpret bar graphs (3-U.5)
Create bar graphs (3-U.6)
Interpret pictographs (3-U.9)
Create pictographs (3-U.10)
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.
Measure using an inch ruler (3-V.3)
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 1 unit, called "a unit square," is said to have "one square unit" of area, and can be used to measure area.
Area of figures made of unit squares (3-W.10)
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.
Area of figures made of unit squares (3-W.10)
Create figures with a given area (3-W.11)
3.MD.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
Area of figures made of unit squares (3-W.10)
3.MD.7 Relate area to the operations of multiplication and addition.
3.MD.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.
Area of rectangles (3-W.12)
3.MD.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.
Area of rectangles (3-W.12)
Area of squares and rectangles: word problems (3-W.13)
3.MD.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.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.
Area of complex figures (with all right angles) (3-W.14)
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 area and different perimeters.
Perimeter (3-W.8)
Perimeter: find the missing side length (3-W.9)
Compare area and perimeter of two figures (3-W.16)
Use area and perimeter to determine cost (3-W.17)
Relationship between area and perimeter (3-W.18)
3.G.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.
Identify 2-dimensional and 3-dimensional shapes (3-W.1)
Which 2-dimensional shape is being described? (3-W.2)
Count and compare sides and angles (3-W.3)
Classify quadrilaterals (3-W.26)
3.G.2 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.