5th Grade Math (Indiana Academic Standards)

Your Teacher Information Pack for 5th Grade Math in Indiana: the standards with their official codes, the state tests and the official links. Check what you're teaching and plan a lesson.

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The standards (our summaries)

Indiana's official codes with our own short summaries (not the official wording). Each code links to the official document.

Grade 5

Number Sense (NS)

• 5.NS.1 Compare and order fractions, mixed numbers and decimals to thousandths on a number line; record with >, = and <.
• 5.NS.2 Explain the meanings of a fraction: part of a whole, part of a group, and division of whole numbers.
• 5.NS.3 See how multiplying or dividing by powers of ten moves zeros and the decimal point; write powers of ten with exponents.
• 5.NS.4 Model percents as parts of 100 with pictures or diagrams and give the matching fraction.

Computation and Algebraic Thinking (CA)

• 5.CA.1 Divide up to four-digit numbers by two-digit divisors, finding quotients and remainders, and justify the method.
• 5.CA.2 Solve real-world whole-number multiplication and division problems with equations and interpret any remainder.
• 5.CA.3 Add and subtract fractions and mixed numbers with unlike denominators using flexible strategies or the standard method.
• 5.CA.4 Solve real-world fraction addition and subtraction problems with models and equations; check with benchmark fractions.
• 5.CA.5 Multiply a fraction by a whole number or another fraction using visual fraction models.
• 5.CA.6 Divide fractions by whole numbers or by fractions using visual models and numerical methods.
• 5.CA.7 Solve real-world problems that multiply fractions and mixed numbers using models and equations.
• 5.CA.8 Solve real-world problems that divide fractions and mixed numbers using models and equations.
• 5.CA.9 Add, subtract, multiply and divide decimals to hundredths with models, place value or properties, and explain.
• 5.CA.10 Solve real-world problems with decimals to hundredths, including money, using equations, models or place value.
• 5.CA.11 Graph real-world ordered pairs in the first quadrant and explain what the coordinates mean in context.

Geometry (G)

• 5.G.1 Identify and draw right, acute and obtuse triangles and circles with tools; model how radius and diameter relate.

Measurement (M)

• 5.M.1 Convert between units within one measurement system and use conversions in multi-step real-world problems.
• 5.M.2 Find the area of rectangles with fractional sides by tiling with unit-fraction squares and by multiplying sides.
• 5.M.3 Develop and use area formulas for triangles, parallelograms and trapezoids; solve perimeter and area problems with units.
• 5.M.4 Find the volume of right rectangular prisms by packing unit cubes and relate it to length × width × height or base × height.
• 5.M.5 Use volume formulas for right rectangular prisms with whole-number edges to solve problems.

Data Analysis (DA)

• 5.DA.1 Ask questions answered by categorical or numerical data, predict, then collect and graph data (e.g. fraction line plots, histograms).
• 5.DA.2 Find the mean, median and mode of a data set and decide which best describes it.

Mathematics Process Standards (all grades)

Process Standards (PS)

• PS.1 Make sense of problems, plan a solution path, monitor progress and check that answers are reasonable.
• PS.2 Reason abstractly and quantitatively, moving between symbols and the real context while attending to units.
• PS.3 Build and justify arguments (including always/sometimes/never), critique others' reasoning and collaborate.
• PS.4 Model with mathematics: apply math to everyday situations, make reasonable assumptions and check results.
• PS.5 Choose and use suitable tools, from paper and models to technology, knowing their strengths and limits.
• PS.6 Attend to precision: communicate with clear definitions, correct symbols, labeled units and suitable accuracy.
• PS.7 Look for and use structure and patterns, seeing complex items as single objects or as sets of parts.
• PS.8 Notice repeated reasoning, look for general methods and shortcuts, and keep checking intermediate results.

Tests and key dates

• ILEARN
• IREAD-3
• SAT / PSAT (College Board)

Check the Indiana Department of Education for which grades are tested and this year's testing dates (we have not yet confirmed every detail above on the official site).

Official documents

• secure.in.gov: mathematics
• in.gov: indiana academic standards for math and ela
• in.gov: Kindergarten ELA 2023 IAS CCSS Correlation Guide

More packs

Common Core version: Grade 5 Math · Indiana hub · Find another TIP