The Common Core in Pennsylvania
Skills available for Pennsylvania third-grade math standards
Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.
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- Pennsylvania Core Standards Pennsylvania Core Standards
- Pennsylvania Assessment Anchors Pennsylvania Assessment Anchors
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CC.2.1.3 Numbers and Operations
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CC.2.1.3.B Number & Operations in Base Ten
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CC.2.1.3.B.1 Apply place-value understanding and properties of operations to perform multi-digit arithmetic.
- Add two numbers up to three digits (3-C.1)
- Addition input/output tables: up to three digits (3-C.2)
- Complete the addition sentence: up to three digits (3-C.4)
- Use compensation to add: up to three digits (3-C.6)
- Add three numbers up to three digits each (3-C.7)
- Addition up to three digits: fill in the missing digits (3-C.9)
- Subtract numbers up to three digits (3-D.1)
- Subtraction input/output tables: up to three digits (3-D.2)
- Subtract across zeros (3-D.4)
- Complete the subtraction sentence: up to three digits (3-D.5)
- Use compensation to subtract: up to three digits (3-D.7)
- Subtraction: fill in the missing digits (3-D.10)
- Multiply by 10 (3-F.11)
- Multiply by a multiple of ten using place value (3-H.1)
- Multiply by a multiple of ten (3-H.2)
- Properties of addition (3-N.3)
- Complete the equation using properties of addition (3-N.4)
- Properties of multiplication (3-N.6)
- Solve using properties of multiplication (3-N.9)
- Round to the nearest ten or hundred (3-P.2)
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CC.2.1.3.C Number & Operations - Fractions
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CC.2.1.3.C.1 Explore and develop an understanding of fractions as numbers.
- Identify equal parts (3-V.1)
- Understand fractions: fraction bars (3-V.5)
- Understand fractions: area models (3-V.6)
- Show fractions: fraction bars (3-V.7)
- Show fractions: area models (3-V.8)
- Match fractions to models: halves, thirds, and fourths (3-V.9)
- Match unit fractions to models (3-V.10)
- Match fractions to models (3-V.11)
- Write fractions using numbers and words (3-V.12)
- Fractions of number lines: unit fractions (3-V.13)
- Fractions of number lines (3-V.15)
- Identify unit fractions on number lines (3-V.16)
- Identify fractions on number lines (3-V.17)
- Graph unit fractions on number lines (3-V.18)
- Graph fractions less than 1 on number lines (3-V.19)
- Graph fractions on number lines (3-V.20)
- Graph smaller or larger fractions on a number line (3-V.21)
- Unit fractions: modeling word problems (3-V.24)
- Unit fractions: word problems (3-V.25)
- Fractions of a whole: modeling word problems (3-V.26)
- Fractions of a whole: word problems (3-V.27)
- Fractions of a group: word problems (3-V.28)
- Match mixed numbers to models (3-V.29)
- Word names for mixed numbers (3-V.30)
- Find equivalent fractions using fraction strips (3-W.)
- Find equivalent fractions using area models: two models (3-W.1)
- Find equivalent fractions using area models: one model (3-W.2)
- Identify equivalent fractions on number lines (3-W.3)
- Find equivalent fractions using number lines (3-W.4)
- Graph equivalent fractions on number lines (3-W.5)
- Identify equivalent fractions (3-W.6)
- Find equivalent fractions (3-W.7)
- Graph fractions equivalent to 1 on number lines (3-W.8)
- Select fractions equivalent to whole numbers using models (3-W.9)
- Select fractions equivalent to whole numbers (3-W.10)
- Find fractions equivalent to whole numbers (3-W.11)
- Find equivalent fractions with denominators of 10 and 100 (3-W.12)
- Write fractions in lowest terms (3-W.13)
- Compare fractions using models (3-X.3)
- Compare fractions using number lines (3-X.4)
- Graph and compare fractions with like denominators on number lines (3-X.5)
- Graph and compare fractions with like numerators on number lines (3-X.6)
- Graph and compare fractions on number lines (3-X.7)
- Compare fractions (3-X.10)
- Compare fractions in recipes (3-X.11)
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CC.2.2.3 Algebraic Concepts
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CC.2.2.3.A Operations and Algebraic Thinking
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CC.2.2.3.A.1 Represent and solve problems involving multiplication and division.
- 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)
- Write two multiplication sentences for an array (3-E.7)
- Make arrays to model multiplication (3-E.8)
- Multiply using number lines (3-E.)
- Write multiplication sentences for number lines (3-E.9)
- Multiplication word problems (3-H.7)
- Multiplication word problems: find the missing factor (3-H.8)
- Divide by counting equal groups (3-I.1)
- Write division sentences for groups (3-I.2)
- Division sentences with 1 and 0 (3-I.)
- Write division sentences for arrays (3-I.4)
- Division word problems (3-L.5)
- Multiplication and division word problems (3-M.11)
- Relate addition and multiplication (3-N.10)
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CC.2.2.3.A.2 Understand properties of multiplication and the relationship between multiplication and division.
- Multiply one-digit numbers using grids (3-E.)
- 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)
- Multiply one-digit numbers by two-digit numbers using area models I (3-H.12)
- Multiply one-digit numbers by two-digit numbers using area models II (3-H.13)
- Multiply one-digit numbers by three-digit numbers using area models I (3-H.16)
- Multiply one-digit numbers by three-digit numbers using area models II (3-H.17)
- Relate multiplication and division for groups (3-I.3)
- Relate multiplication and division for arrays (3-I.5)
- Division facts up to 10: find the missing number (3-K.10)
- Properties of multiplication (3-N.6)
- Distributive property: find the missing factor (3-N.7)
- Multiply using the distributive property (3-N.8)
- Solve using properties of multiplication (3-N.9)
- Relate multiplication and division (3-N.11)
- Solve for the variable: multiplication and division only (3-O.3)
- Write variable equations to represent word problems: multiplication and division only (3-O.5)
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CC.2.2.3.A.3 Demonstrate multiplication and division fluency.
- 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 10 (3-F.11)
- Multiply by 11 (3-F.12)
- Multiply by 12 (3-F.13)
- Multiplication facts 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 facts 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 facts 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 facts to 12 (3-G.15)
- Multiplication facts up to 12: true or false? (3-G.16)
- Multiplication facts up to 12: find the missing factor (3-G.17)
- Multiplication facts up to 12: select the missing factors (3-G.18)
- Multiplication sentences up to 12: true or false? (3-G.19)
- Multiply by 0 or 1: complete the sentence (3-G.20)
- Squares up to 10 x 10 (3-G.21)
- Multiplication input/output tables (3-H.5)
- 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)
- Divide by 10 (3-J.10)
- Divide by 11 (3-J.11)
- Divide by 12 (3-J.12)
- 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: 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)
- Division facts up to 12: true or false? (3-K.14)
- Division facts up to 12: find the missing number (3-K.15)
- Division facts up to 12: select the missing numbers (3-K.16)
- Division sentences up to 12: true or false? (3-K.17)
- Division input/output tables (3-L.3)
- Divisibility rules for 2, 5, and 10 (3-L.10)
- 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.5)
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CC.2.2.3.A.4 Solve problems involving the four operations, and identify and explain patterns in arithmetic.
- Addition patterns over increasing place values (3-C.16)
- Subtraction patterns over increasing place values (3-D.8)
- Multiplication input/output tables: find the rule (3-H.6)
- Division input/output tables: find the rule (3-L.4)
- 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.8)
- Addition, subtraction, multiplication, and division word problems (3-M.13)
- Perform multiple operations with whole numbers (3-M.14)
- Two-step addition and subtraction word problems (3-M.15)
- Two-step multiplication and division word problems (3-M.16)
- Two-step mixed operation word problems (3-M.17)
- Solve for the variable: addition and subtraction only (3-O.2)
- Solve for the variable (3-O.4)
- Write variable equations to represent word problems: multiplication and division only (3-O.5)
- Write variable equations to represent word problems (3-O.6)
- Estimate to compare sums and differences (3-P.15)
- Two-step word problems: identify reasonable answers (3-P.19)
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CC.2.3.3 Geometry
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CC.2.3.3.A Geometry
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CC.2.3.3.A.1 Identify, compare, and classify shapes and their attributes.
- Count and compare sides and vertices (3-AA.2)
- Is it a polygon? (3-AA.4)
- Identify polygons: up to 8 sides (3-AA.)
- Identify congruent shapes (3-AA.9)
- Acute, obtuse, and right triangles (3-BB.1)
- Scalene, isosceles, and equilateral triangles (3-BB.2)
- Parallel sides in quadrilaterals (3-BB.3)
- Identify parallelograms (3-BB.4)
- Identify trapezoids (3-BB.5)
- Identify rectangles (3-BB.6)
- Identify rhombuses (3-BB.7)
- Classify quadrilaterals (3-BB.8)
- Draw quadrilaterals (3-BB.9)
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CC.2.3.3.A.2 Use the understanding of fractions to partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole.
- Identify equal parts (3-V.1)
- Make halves, thirds, and fourths (3-V.2)
- Make sixths and eighths (3-V.3)
- Make halves, thirds, fourths, sixths, and eighths (3-V.4)
- Understand fractions: fraction bars (3-V.5)
- Understand fractions: area models (3-V.6)
- Match fractions to models: halves, thirds, and fourths (3-V.9)
- Match unit fractions to models (3-V.10)
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CC.2.4.3 Measurement, Data, and Probability
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CC.2.4.3.A Measurement and Data
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CC.2.4.3.A.1 Solve problems involving measurement and estimation of temperature, liquid volume, mass or length.
- Read a thermometer (3-Z.1)
- Reasonable temperature (3-Z.2)
- Measure using an inch ruler (3-Z.3)
- Measurement word problems (3-Z.4)
- Which customary unit is appropriate? (3-Z.8)
- Compare and convert customary units of weight (3)
- Conversion tables - customary units (3-Z.12)
- Compare customary units by multiplying (3-Z.13)
- Which metric unit is appropriate? (3-Z.17)
- Conversion tables - metric units (3-Z.21)
- Compare and convert metric units of weight (3)
- Compare and convert customary units of length (3)
- Compare and convert customary units of volume (3)
- Compare and convert metric units of length (3)
- Compare and convert metric units of volume (3)
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CC.2.4.3.A.2 Tell and write time to the nearest minute and solve problems by calculating time intervals.
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CC.2.4.3.A.3 Solve problems involving money using a combination of coins and bills.
- Count coins and bills - up to $5 bill (3-S.1)
- Purchases - do you have enough money - up to $10 (3-S.3)
- Which picture shows more? (3-S.4)
- Correct amount of change (3-S.5)
- Making change (3-S.6)
- Inequalities with money (3-S.7)
- Put money amounts in order (3-S.8)
- Add and subtract money amounts (3-S.9)
- Add money amounts - word problems (3-S.10)
- Price lists (3-S.11)
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CC.2.4.3.A.4 Represent and interpret data using tally charts, tables, pictographs, line plots, and bar graphs.
- Interpret tally charts (3-U.4)
- Read a table (3-U.5)
- Interpret bar graphs (3-U.6)
- Use bar graphs to solve problems (3-U.7)
- Create bar graphs (3-U.8)
- Interpret line plots (3-U.9)
- Create line plots (3-U.10)
- Create line plots with fractions (3-U.11)
- Interpret pictographs (3-U.12)
- Create pictographs (3-U.13)
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CC.2.4.3.A.5 Determine the area of a rectangle and apply the concept to multiplication and to addition.
- Find the area of figures made of unit squares (3-DD.7)
- Select figures with a given area (3-DD.8)
- Select two figures with the same area (3-DD.9)
- Tile a rectangle and find the area (3-DD.10)
- Create rectangles with a given area (3-DD.13)
- Find the area of rectangles and squares (3-DD.14)
- Find the area of rectangles with missing unit squares (3-DD.16)
- Find the area of rectangles: word problems (3-DD.17)
- Find the area of complex figures (3-DD.19)
- Find the area between two rectangles (3-DD.20)
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CC.2.4.3.A.6 Solve problems involving perimeters of polygons and distinguish between linear and area measures.
- Perimeter of rectangles (3-DD.1)
- Perimeter of rectilinear shapes (3-DD.3)
- Perimeter of polygons (3-DD.4)
- Perimeter: find the missing side length (3-DD.5)
- Perimeter: word problems (3-DD.6)
- Relationship between area and perimeter: find the perimeter (3-DD.23)
- Relationship between area and perimeter: find the area (3-DD.24)
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