5th grade Math
14 units matched to the Oregon State Standards.
Focus areas
- Numbers and operations: operations with fractions and decimals, and volume
- Geometry and measurement: shapes, measurement and the space around us
- Data reasoning: asking questions, collecting data and reading what it shows
Units
Unit 1
Numbers to a Million
Place value to 1,000,000: digit values, standard and expanded form, number words, rounding, ordering, and using benchmarks like 500,000 on a number line.
Learning standard: 5.NBT.A.1 · place value in multi-digit numbers
Unit 2
Decimals
Reading, writing, comparing and rounding decimals to thousandths, linking decimals to fractions out of 10, 100 and 1000, and adding and subtracting decimals in real situations.
Learning standard: 5.NBT.A.3; 5.NBT.B.7 · reading, writing and comparing decimals to thousandths and computing with decimals
Unit 3
Multiply
Multiplying 2- and 3-digit numbers using area models and partial products, patterns with 10, 100 and 1000, doubling and halving, and estimating products by rounding.
Learning standard: 5.NBT.B.5 · fluently multiplying multi-digit whole numbers
Unit 4
Mental Math Tricks
Recalling multiplication and division facts to 9 × 9, and mental strategies such as adding zeros, halving and doubling, and breaking a number into friendly parts.
Learning standard: 5.NBT.A.2; 5.NBT.B.5 · mental multiplication strategies and patterns when multiplying by powers of 10
Unit 5
Divide
Dividing 2- and 3-digit numbers, finding remainders and deciding what they mean in a story (round up for buses, drop the extra for full bags), and estimating with friendly numbers.
Learning standard: 5.NBT.B.6 · dividing whole numbers with up to four-digit dividends and two-digit divisors
Unit 6
Equivalent Fractions
Making and recognizing equivalent fractions (2/3 = 8/12), simplifying, comparing and ordering fractions, and judging whether a fraction is close to 0, 1/2 or 1.
Learning standard: 5.NF.A.1 · using equivalent fractions to add and subtract fractions
Unit 7
Patterns & Equations
Describing growing and shrinking patterns with rules and expressions like 3n + 1, using input–output tables, and solving one-step equations such as n + 37 = 92 or 6 × n = 54.
Learning standard: 5.OA.B.3 · generating numerical patterns from rules and finding relationships between them
Unit 8
Parallel Lines and Quadrilaterals
Finding parallel and perpendicular edges and sides, and sorting quadrilaterals (rectangles, squares, trapezoids, parallelograms and rhombuses) by their sides and angles.
Learning standard: 5.GM.B.3 · classifying two-dimensional figures in a hierarchy by their properties
Unit 9
Converting Units
Converting between units in the US customary and metric systems (both ways, including decimals) and using conversions in multi-step problems.
Learning standard: 5.GM.C.4 · converting between different-sized units within one measurement system and using conversions in multi-step problems
Unit 10
Parentheses & Expressions
Evaluating expressions with parentheses and brackets, writing an expression from words, and reading an expression without calculating it.
Learning standard: 5.OA.A.1; 5.OA.A.2 · writing and evaluating numerical expressions with parentheses, and interpreting expressions
Unit 11
Coordinate Grid
Naming and plotting points in the first quadrant of the coordinate grid, and reading what a point means in a real situation.
Learning standard: 5.GM.A.1; 5.GM.A.2 · graphing and naming points in the first quadrant, and interpreting points in context
Unit 12
Multiply & Divide Fractions
Multiplying a fraction by a whole number or a fraction, dividing a unit fraction by a whole number (and the other way round), and seeing a fraction as sharing.
Learning standard: 5.NF.B.3; 5.NF.B.4; 5.NF.B.5; 5.NF.B.7 · a fraction as division, multiplying fractions, multiplication as scaling, and dividing unit fractions and whole numbers
Unit 13
Unlike Denominators
Adding and subtracting fractions and mixed numbers with different denominators by finding a common denominator, and checking with benchmark fractions.
Learning standard: 5.NF.A.1; 5.NF.A.2 · adding and subtracting fractions and mixed numbers with unlike denominators, including in word problems
Unit 14
Volume of Boxes
Finding volume by counting unit cubes and layers, using V = l × w × h, finding a missing side, and adding the volumes of two boxes.
Learning standard: 5.GM.D.5; 5.GM.D.6; 5.GM.D.7 · understanding volume, measuring it with unit cubes, and relating it to multiplication and addition
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