5th Grade Math: the year at a glance
12 units · 50 lessons · based on Common Core State Standards for Mathematics, Grade 5 — typical US scope & sequence. Every unit ends with a review & assessment day.
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Unit 1: Place value, powers of ten & decimals 5.NBT.A.1
Explain place value patterns, including powers of 10 · Read, write, compare and round decimals to thousandths
- Ten times and one-tenth5.NBT.A.1
- Powers of ten5.NBT.A.2
- Decimals to thousandths5.NBT.A.3a
- Comparing decimals5.NBT.A.3b
- Rounding decimals5.NBT.A.4
- Review & assessment
Unit 2: Multiplying whole numbers 5.NBT.B.5
Fluently multiply multi-digit whole numbers with the standard algorithm
- Estimating products5.NBT.B.5
- From area model to algorithm5.NBT.B.5
- Standard algorithm: 3-digit × 2-digit5.NBT.B.5
- Multiplication word problems5.NBT.B.5
- Review & assessment
Unit 3: Dividing whole numbers 5.NBT.B.6
Divide up to four-digit dividends by two-digit divisors · Explain with area models, partial quotients and equations
- Estimating quotients5.NBT.B.6
- Partial quotients with two-digit divisors5.NBT.B.6
- Area model for division5.NBT.B.6
- Division word problems5.NBT.B.6
- Review & assessment
Unit 4: Operations with decimals 5.NBT.B.7
Add, subtract, multiply and divide decimals to hundredths · Explain the reasoning used
- Adding and subtracting decimals5.NBT.B.7
- Multiplying decimals by whole numbers5.NBT.B.7
- Multiplying decimals by decimals5.NBT.B.7
- Dividing decimals by whole numbers5.NBT.B.7
- Dividing by decimals5.NBT.B.7
- Decimal word problems5.NBT.B.7
- Review & assessment
Unit 5: Adding & subtracting fractions 5.NF.A.1
Add and subtract fractions and mixed numbers with unlike denominators · Estimate with benchmark fractions
- Unlike denominators with models5.NF.A.1
- Common denominators5.NF.A.1
- Mixed numbers5.NF.A.1
- Estimate with benchmarks5.NF.A.2
- Fraction word problems5.NF.A.2
- Review & assessment
Unit 6: Multiplying fractions 5.NF.B.4
Multiply fractions by whole numbers and fractions · Interpret multiplication as scaling
- Fractions as division5.NF.B.3
- Fraction of a whole number5.NF.B.4a
- Fraction times fraction5.NF.B.4a
- Area with fractional sides5.NF.B.4b
- Multiplication as scaling5.NF.B.5
- Mixed number multiplication5.NF.B.6
- Review & assessment
Unit 7: Dividing with unit fractions 5.NF.B.7
Divide unit fractions by whole numbers and whole numbers by unit fractions
- Unit fraction ÷ whole number5.NF.B.7a
- Whole number ÷ unit fraction5.NF.B.7b
- Fraction division problems5.NF.B.7c
- Review & assessment
Unit 8: Volume 5.MD.C.5
Understand volume as unit cubes · Use V = l × w × h and V = B × h · Find volumes of combined solids
- What is volume?5.MD.C.3
- Counting cubes5.MD.C.4
- Volume formulas5.MD.C.5b
- Composite figures5.MD.C.5c
- Volume design project5.MD.C.5
- Review & assessment
Unit 9: Measurement conversions & line plots 5.MD.A.1
Convert units within a system · Make line plots with fractions and solve problems
- Customary conversions5.MD.A.1
- Metric conversions5.MD.A.1
- Line plots with fractions5.MD.B.2
- Review & assessment
Unit 10: Numerical expressions & patterns 5.OA.A.1
Write and evaluate expressions with parentheses · Generate two patterns and compare them
- Order of operations5.OA.A.1
- Writing expressions5.OA.A.2
- Two patterns5.OA.B.3
- Review & assessment
Unit 11: The coordinate plane 5.G.A.1
Graph points in the first quadrant · Represent real-world problems on the coordinate plane
- Coordinate grid5.G.A.1
- Graphing points5.G.A.2
- Graphing patterns5.G.A.2
- Review & assessment
Unit 12: Classifying 2D figures 5.G.B.4
Classify figures in a hierarchy by their properties
- Triangles5.G.B.3
- Quadrilateral family tree5.G.B.4
- Always, sometimes, never5.G.B.3
- Review & assessment