Number & Operations—Fractions NF ★ Focus
5.NF.A.1 Add/subtract fractions with unlike denominators, incl. mixed numbers.
Core Unlike denominatorsExtended Add & subtract mixed numbersChallenge Multi-step fraction problems
5.NF.A.2 Word problems adding/subtracting fractions; estimate with benchmarks.
Core Fraction word problemsExtended Fraction word problems — extendedChallenge Fraction word problems — challenge
5.NF.B.3 Interpret a fraction as division; solve word problems.
Core Fractions as divisionExtended Fractions as division — extendedChallenge Fractions as division — challenge
5.NF.B.4 Multiply a fraction or whole number by a fraction; area with fractional sides.
Core Multiply fractionsExtended Multiply mixed numbers & areaChallenge Fraction multiplication challenge
5.NF.B.5 Interpret multiplication as scaling (resizing).
Core Multiplication as scalingExtended Multiplication as scaling — extendedChallenge Multiplication as scaling — challenge
5.NF.B.6 Real-world problems multiplying fractions and mixed numbers.
Core Fraction multiplication word problemsExtended Fraction multiplication word problems — extendedChallenge Fraction multiplication word problems — challenge
5.NF.B.7 Divide unit fractions by whole numbers and vice versa.
Core Divide with unit fractionsExtended Fraction division word problemsChallenge Fraction division challenge
Geometry G
5.G.A.1 Coordinate system: axes, origin, coordinates.
Core Coordinate planeExtended Coordinate distanceChallenge Coordinate challenge
5.G.A.2 Graph points in the first quadrant to solve problems.
Core Coordinates in contextExtended Coordinates: rulesChallenge Coordinates: challenge
5.G.B.3 Attributes of a category of 2D figures belong to subcategories.
Core Property inheritanceExtended Property transferChallenge Deductive reasoning
5.G.B.4 Classify 2D figures in a hierarchy by properties.
Core Classify 2-D figuresExtended Classify 2-D figures — extendedChallenge Classify 2-D figures — challenge
Measurement & Data MD
5.MD.A.1 Convert measurement units within a system.
Core Convert unitsExtended Convert units — extendedChallenge Convert units — challenge
5.MD.B.2 Line plot of fractional measurements; operate on the data.
Core Fraction line plotsExtended Fraction line plots — extendedChallenge Fraction line plots — challenge
5.MD.C.3 Volume as an attribute of solid figures.
Core Volume: unit cubesExtended Volume: counting layersChallenge Volume: cube reasoning
5.MD.C.4 Measure volume by counting unit cubes.
Core Measure with cubic unitsExtended Cubic units: compareChallenge Cubic units: inverse and traps
5.MD.C.5 Relate volume to multiplication and addition; solve problems.
Core VolumeExtended Volume formula — extendedChallenge Volume formula — challenge
Number & Operations in Base Ten NBT
5.NBT.A.1 Place value: a digit is 10× the place to its right, 1/10 the place to its left.
Core Decimal place valueExtended Place value — extendedChallenge Place value — challenge
5.NBT.A.2 Patterns of zeros / decimal shifts when ×÷ powers of 10; whole-number exponents.
Core Powers of tenExtended Powers of ten — extendedChallenge Powers of ten — challenge
5.NBT.A.3 Read, write, compare decimals to thousandths.
Core Compare decimalsExtended Compare decimals — extendedChallenge Compare decimals — challenge
5.NBT.A.4 Round decimals to any place.
Core Round decimalsExtended Round decimals — extendedChallenge Round decimals — challenge
5.NBT.B.5 Fluently multiply multi-digit whole numbers (standard algorithm).
Core Multi-digit multiplicationExtended Multiplication — extendedChallenge Multiplication — challenge
5.NBT.B.6 Divide up to 4-digit dividends by 2-digit divisors.
Core Long divisionExtended Long division — extendedChallenge Long division — challenge
5.NBT.B.7 Add, subtract, multiply, divide decimals to hundredths.
Core Decimal arithmeticExtended Decimal operations — extendedChallenge Decimal operations — challenge
Operations & Algebraic Thinking OA
5.OA.A.1 Evaluate numerical expressions using parentheses, brackets, braces.
Core Order of operationsExtended Order of operations — extendedChallenge Order of operations — challenge
5.OA.A.2 Write and interpret simple numerical expressions without evaluating.
Core Write expressionsExtended Write expressions — extendedChallenge Write expressions — challenge
5.OA.B.3 Generate two numerical patterns from rules; form ordered pairs and graph.
Core Number patternsExtended Numerical patternsChallenge Coordinate patterns