The Common Core in Pennsylvania
Skills available for Pennsylvania fourth-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
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CC.2.1.4 Numbers and Operations
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CC.2.1.4.B Number & Operations in Base Ten
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CC.2.1.4.B.1 Apply place-value concepts to show an understanding of multi-digit whole numbers.
- Place value models (4-A.1)
- Convert between standard and expanded form (4-A.2)
- Value of a digit (4-A.3)
- Relationship between place values (4-A.4)
- Convert between place values (4-A.5)
- Place value review (4-A.7)
- Writing numbers up to 100,000 in words: convert words to digits (4-A.10)
- Writing numbers up to 100,000 in words: convert digits to words (4-A.11)
- Writing numbers up to one million in words: convert words to digits (4-A.12)
- Writing numbers up to one million in words: convert digits to words (4-A.13)
- Spell word names for numbers up to one million (4-A.16)
- Rounding: up to hundred thousands place (4-A.20)
- Rounding: up to millions place (4-A.21)
- Round a number to any place: up to hundred thousands (4-A.)
- Rounding input/output tables (4-A.22)
- Rounding puzzles (4-A.23)
- Compare numbers up to one hundred thousand (4-A.25)
- Compare numbers up to one million (4-A.26)
- Place value word problems (4-J.1)
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CC.2.1.4.B.2 Use place-value understanding and properties of operations to perform multi-digit arithmetic.
- Add two numbers up to five digits (4-B.1)
- Add two numbers up to five digits: word problems (4-B.2)
- Addition: fill in the missing digits (4-B.5)
- Properties of addition (4-B.6)
- Addition patterns over increasing place values (4-B.8)
- Estimate sums (4-B.10)
- Estimate sums: word problems (4-B.11)
- Subtract numbers up to five digits (4-C.1)
- Subtract numbers up to five digits: word problems (4-C.2)
- Subtraction: fill in the missing digits (4-C.5)
- Subtraction patterns over increasing place values (4-C.6)
- Estimate differences (4-C.8)
- Estimate differences: word problems (4-C.9)
- Multiply 1-digit numbers by teen numbers using grids (4-D.12)
- Multiply 1-digit numbers by 2-digit numbers using area models I (4-D.13)
- Multiply 1-digit numbers by 2-digit numbers using area models II (4-D.14)
- Multiply 1-digit numbers by 2-digit numbers (4-D.15)
- Multiply 1-digit numbers by 2-digit numbers: word problems (4-D.16)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models I (4-D.18)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models II (4-D.19)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers (4-D.22)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems (4-D.23)
- Multiplication patterns over increasing place values (4-D.27)
- Properties of multiplication (4-D.28)
- Distributive property: find the missing factor (4-D.29)
- Multiply using the distributive property (4-D.30)
- Estimate products: multiply by 1-digit numbers (4-D.32)
- Multiply 2-digit numbers by 2-digit numbers using area models I (4-D.36)
- Multiply 2-digit numbers by 2-digit numbers using area models II (4-D.37)
- Multiply a 2-digit number by a 2-digit number: complete the missing steps (4-D.41)
- Multiply a 2-digit number by a 2-digit number (4-D.42)
- Multiply a 2-digit number by a 2-digit number: word problems (4-D.43)
- Multiply numbers ending in zeroes (4-D.48)
- Multiply numbers ending in zeroes: word problems (4-D.49)
- Divide 2-digit numbers by 1-digit numbers using arrays (4-E.6)
- Divide 2-digit numbers by 1-digit numbers using area models (4-E.7)
- Divide using the distributive property (4-E.9)
- Divide 2-digit numbers by 1-digit numbers (4-E.11)
- Divide 2-digit numbers by 1-digit numbers: word problems (4-E.12)
- Divide 2-digit numbers by 1-digit numbers: complete the table (4-E.13)
- Divide 2-digit numbers by 1-digit numbers: interpret remainders (4-E.14)
- Divide 3-digit numbers by 1-digit numbers using area models (4-E.15)
- Divide larger numbers by 1-digit numbers (4-E.17)
- Division patterns over increasing place values (4-E.22)
- Divide numbers ending in zeroes by 1-digit numbers (4-E.23)
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CC.2.1.4.C Number & Operations - Fractions
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CC.2.1.4.C.1 Extend the understanding of fractions to show equivalence and ordering.
- Find equivalent fractions using area models (4-O.5)
- Graph equivalent fractions on number lines (4-O.7)
- Identify equivalent fractions (4-O.8)
- Equivalent fractions: find the missing numerator or denominator (4-O.9)
- Fractions with denominators of 10 and 100 (4-O.10)
- Patterns of equivalent fractions (4-O.12)
- Compare fractions using models (4-O.17)
- Benchmark fractions (4-O.18)
- Compare fractions using benchmarks (4-O.19)
- Compare fractions (4-O.21)
- Compare fractions: find the missing numerator or denominator (4-O.22)
- Graph and order fractions on number lines (4-O.24)
- Order fractions (4-O.26)
- Find smaller or larger fractions (4-O.27)
- Graph and compare fractions with like denominators on number lines (4)
- Compare fractions with like denominators (4)
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CC.2.1.4.C.2 Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
- Decompose fractions into unit fractions using models (4-P.1)
- Decompose fractions into unit fractions (4-P.2)
- Decompose fractions (4-P.3)
- Decompose fractions multiple ways (4-P.4)
- Add fractions with like denominators using area models (4-P.5)
- Add fractions with like denominators using strip models (4-P.6)
- Add fractions with like denominators using number lines (4-P.7)
- Add fractions with like denominators (4-P.8)
- Subtract fractions with like denominators using area models (4-P.9)
- Subtract fractions with like denominators using strip models (4-P.10)
- Subtract fractions with like denominators using number lines (4-P.11)
- Subtract fractions with like denominators (4-P.12)
- Add and subtract fractions with like denominators using number lines (4-P.13)
- Add and subtract fractions with like denominators (4-P.14)
- Compare sums and differences of fractions with like denominators (4-P.15)
- Add and subtract fractions with like denominators: word problems (4-P.16)
- Add and subtract fractions with like denominators in recipes (4-P.17)
- Add 3 or more fractions with like denominators (4-P.18)
- Add mixed numbers with like denominators (4-P.)
- Subtract mixed numbers with like denominators (4-P.)
- Add and subtract mixed numbers with like denominators (4-P.19)
- Add and subtract mixed numbers with like denominators: word problems (4-P.20)
- Multiply unit fractions by whole numbers using number lines (4-R.1)
- Multiply unit fractions by whole numbers using models (4-R.2)
- Multiples of unit fractions: find the missing numbers (4-R.3)
- Multiply unit fractions by whole numbers: sorting (4-R.4)
- Multiply unit fractions by whole numbers (4-R.5)
- Multiply unit fractions by whole numbers: word problems (4-R.6)
- Multiply fractions by whole numbers using number lines (4-R.7)
- Multiply fractions by whole numbers using models (4-R.8)
- Multiply fractions by whole numbers using models: complete the equation (4-R.9)
- Multiples of fractions: find the missing numbers (4-R.10)
- Multiply fractions by whole numbers: sorting (4-R.11)
- Multiply fractions by whole numbers (4-R.12)
- Multiply fractions by whole numbers: word problems (4-R.13)
- Fractions of a number: word problems (4-R.17)
- Multiply fractions by whole numbers in recipes (4)
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CC.2.1.4.C.3 Connect decimal notation to fractions, and compare decimal fractions (base 10 denominator, e.g., 19/100).
- Compare money amounts (4-L.3)
- Fractions with denominators of 10 and 100 (4-O.10)
- Fractions and mixed numbers with denominators of 10 and 100 (4-O.11)
- Add fractions: denominators 10 and 100 (4-Q.1)
- Identify fraction expressions with a particular sum: denominators of 10 and 100 (4-Q.2)
- What decimal number is illustrated? (4-S.1)
- Model decimals and fractions (4-S.2)
- Graph decimals on number lines (4-S.8)
- Graph fractions as decimals on number lines (4-S.10)
- Convert fractions and mixed numbers to decimals - denominators of 10 and 100 (4-S.11)
- Compare decimals using models (4-S.16)
- Compare decimals on number lines (4-S.17)
- Compare decimal numbers (4-S.18)
- Compare decimals and fractions on number lines (4-S.21)
- Compare decimals and fractions (4-S.22)
- Compare decimals using place value blocks (4)
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CC.2.2.4 Algebraic Concepts
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CC.2.2.4.A Operations and Algebraic Thinking
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CC.2.2.4.A.1 Represent and solve problems involving the four operations.
- Compare numbers using multiplication (4-D.10)
- Compare numbers using multiplication: word problems (4-D.11)
- Multiply 1-digit numbers by 2-digit numbers: multi-step word problems (4-D.17)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems (4-D.24)
- Multiply a 2-digit number by a 2-digit number: multi-step word problems (4-D.44)
- Multiply three or more numbers: word problems (4-D.51)
- Comparison word problems: addition or multiplication? (4-F.3)
- Word problems with extra or missing information (4-F.7)
- Multi-step word problems involving subtraction (4-F.9)
- Multi-step word problems with strip diagrams (4-F.10)
- Use strip diagrams to represent and solve multi-step word problems (4-F.11)
- Multi-step word problems (4-F.12)
- Multi-step word problems involving remainders (4-F.13)
- Inequalities involving addition, subtraction, multiplication, and division (4-F.19)
- Write variable equations to represent word problems (4-G.4)
- Multi-step addition word problems (4)
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CC.2.2.4.A.2 Develop and/or apply number theory concepts to find factors and multiples.
- Prime and composite: up to 20 (4-A.18)
- Prime and composite: up to 100 (4-A.19)
- Choose the multiples of a given number up to 10 (4-D.3)
- Choose the multiples of a given number up to 12 (4-D.6)
- Identify factors (4-D.7)
- Choose numbers with a particular product (4-D.8)
- Find all the factor pairs of a number (4-D.9)
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CC.2.2.4.A.4 Generate and analyze patterns using one rule.
- Addition input/output tables (4)
- Subtraction input/output tables: up to three digits (4)
- Multiplication input/output tables (4-D.53)
- Multiplication input/output tables: find the rule (4-D.54)
- Find the next shape in a pattern (4-K.1)
- Complete a repeating pattern (4-K.2)
- Make a repeating pattern (4-K.3)
- Find the next row in a growing pattern of shapes (4-K.4)
- Use a rule to complete a number pattern (4-K.5)
- What is true about the given pattern? (4-K.6)
- What is true about the pattern made by the rule? (4-K.7)
- Identify mistakes in number patterns (4-K.8)
- Complete an increasing number pattern (4-K.9)
- Complete a geometric number pattern (4-K.10)
- Number patterns: word problems (4-K.11)
- Number patterns: mixed review (4-K.12)
- Shape patterns (4-K.13)
- Addition input/output tables: find the rule (4)
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CC.2.3.4 Geometry
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CC.2.3.4.A Geometry
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CC.2.3.4.A.1 Draw lines and angles and identify these in two-dimensional figures.
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CC.2.3.4.A.2 Classify two-dimensional figures by properties of their lines and angles.
- Is it a polygon? (4-V.1)
- Number of sides in polygons (4-V.2)
- Parallel sides in quadrilaterals (4-W.4)
- Sides and angles of quadrilaterals (4-W.5)
- Identify parallelograms (4-W.6)
- Identify trapezoids (4-W.7)
- Identify rectangles (4-W.8)
- Identify rhombuses (4-W.9)
- Classify quadrilaterals (4-W.10)
- Pick all the names for a quadrilateral (4-W.11)
- Draw quadrilaterals (4-W.12)
- Classify triangles: acute, obtuse, and right (4)
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CC.2.3.4.A.3 Recognize symmetric shapes and draw lines of symmetry.
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CC.2.4.4 Measurement, Data, and Probability
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CC.2.4.4.A Measurement and Data
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CC.2.4.4.A.1 Solve problems involving measurement and conversions from a larger unit to a smaller unit.
- Find the change, price, or amount paid (4-L.7)
- Price lists with addition and subtraction (4-L.8)
- Measurement word problems (4-M.2)
- Measurement word problems with fractions (4-M.3)
- Compare and convert customary units of length (4-M.5)
- Compare and convert customary units of weight (4-M.6)
- Compare and convert customary units of volume (4-M.7)
- Compare and convert customary units (4-M.8)
- Conversion tables - customary units (4-M.9)
- Which metric unit is appropriate? (4-M.13)
- Compare and convert metric units of length (4-M.14)
- Compare and convert metric units of weight (4-M.15)
- Compare and convert metric units of volume (4-M.16)
- Compare and convert metric units (4-M.17)
- Conversion tables - metric units (4-M.18)
- Elapsed time: word problems (4-N.7)
- Find start and end times: multi-step word problems (4-N.8)
- Find the perimeter of rectangles using formulas (4-AA.1)
- Perimeter: word problems (4-AA.4)
- Find the area or missing side length of a rectangle (4-AA.7)
- Area: word problems (4-AA.8)
- Area between two rectangles (4-AA.10)
- Relationship between area and perimeter (4-AA.12)
- Area and perimeter: word problems (4-AA.13)
- Use area and perimeter to determine cost (4-AA.16)
- Which customary unit is appropriate? (4)
- Convert units of time (4)
- Fractions of time units (4)
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CC.2.4.4.A.2 Translate information from one type of data display to another.
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CC.2.4.4.A.4 Represent and interpret data involving fractions using information provided in a line plot.
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CC.2.4.4.A.6 Measure angles and use properties of adjacent angles to solve problems.
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