4th Grade Math: the year at a glance
12 units · 55 lessons · based on Common Core State Standards for Mathematics, Grade 4 — typical US scope & sequence. Every unit ends with a review & assessment day.
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Unit 1: Place value to 1,000,000 4.NBT.A.2
Read, write and compare multi-digit numbers · Understand each place is ten times the place to its right · Round to any place
- Ten times greater4.NBT.A.1
- Reading and writing large numbers4.NBT.A.2
- Comparing multi-digit numbers4.NBT.A.2
- Rounding to any place4.NBT.A.3
- Review & assessment
Unit 2: Adding & subtracting multi-digit numbers 4.NBT.B.4
Fluently add and subtract with the standard algorithm · Estimate to check reasonableness
- Standard algorithm: addition4.NBT.B.4
- Standard algorithm: subtraction4.NBT.B.4
- Estimate and check4.OA.A.3
- Multi-step word problems4.OA.A.3
- Review & assessment
Unit 3: Multiplicative comparison, factors & multiples 4.OA.A.1
Interpret multiplication as comparison (35 is 5 times as many as 7) · Find factor pairs and multiples; identify prime and composite numbers
- Times as many4.OA.A.1
- Comparison word problems4.OA.A.2
- Factors and factor pairs4.OA.B.4
- Multiples4.OA.B.4
- Prime and composite4.OA.B.4
- Review & assessment
Unit 4: Multi-digit multiplication 4.NBT.B.5
Multiply up to four digits by one digit and two digits by two digits · Explain with area models and partial products
- Multiplying by 10, 100 and 1,0004.NBT.B.5
- Area model: one-digit multiplier4.NBT.B.5
- Partial products4.NBT.B.5
- Two-digit by two-digit4.NBT.B.5
- Multiplication word problems4.OA.A.3
- Review & assessment
Unit 5: Division with remainders 4.NBT.B.6
Divide up to four-digit dividends by one-digit divisors · Interpret remainders in word problems
- Dividing multiples of 104.NBT.B.6
- Remainders4.NBT.B.6
- Area model for division4.NBT.B.6
- Partial quotients4.NBT.B.6
- Interpreting remainders4.OA.A.3
- Review & assessment
Unit 6: Equivalent fractions & comparing 4.NF.A.1
Explain why fractions are equivalent using models and multiplication · Compare fractions with different numerators and denominators
- Equivalent fractions with models4.NF.A.1
- Multiply to find equivalents4.NF.A.1
- Benchmark fractions4.NF.A.2
- Common denominators4.NF.A.2
- Review & assessment
Unit 7: Adding & subtracting fractions 4.NF.B.3
Add and subtract fractions and mixed numbers with like denominators · Decompose fractions in more than one way
- Decomposing fractions4.NF.B.3b
- Adding like fractions4.NF.B.3a
- Subtracting like fractions4.NF.B.3a
- Mixed numbers4.NF.B.3c
- Adding and subtracting mixed numbers4.NF.B.3c
- Fraction word problems4.NF.B.3d
- Review & assessment
Unit 8: Multiplying fractions by whole numbers 4.NF.B.4
Multiply a fraction by a whole number · Solve problems with fractions and whole numbers
- Multiples of unit fractions4.NF.B.4a
- Whole number times a fraction4.NF.B.4b
- Fraction multiplication problems4.NF.B.4c
- Review & assessment
Unit 9: Decimals: tenths & hundredths 4.NF.C.6
Write fractions with denominators 10 and 100 as decimals · Compare decimals to hundredths
- Tenths and hundredths4.NF.C.5
- Decimal notation4.NF.C.6
- Comparing decimals4.NF.C.7
- Decimals and money4.MD.A.2
- Review & assessment
Unit 10: Measurement conversions 4.MD.A.1
Convert larger units to smaller units in one system · Solve problems with area and perimeter formulas
- Customary length4.MD.A.1
- Customary weight and capacity4.MD.A.1
- Metric units4.MD.A.1
- Time conversions4.MD.A.2
- Area and perimeter formulas4.MD.A.3
- Line plots with fractions4.MD.B.4
- Review & assessment
Unit 11: Angles, lines & shapes 4.MD.C.5
Measure and draw angles with a protractor · Classify shapes by lines and angles · Identify lines of symmetry
- Points, lines, rays and angles4.G.A.1
- Angles as turns4.MD.C.5
- Measure and draw angles4.MD.C.6
- Adding angles4.MD.C.7
- Parallel and perpendicular lines4.G.A.2
- Lines of symmetry4.G.A.3
- Review & assessment
Unit 12: Number & shape patterns 4.OA.C.5
Generate patterns that follow a rule · Describe features of a pattern that are not in the rule
- Number patterns4.OA.C.5
- Shape patterns4.OA.C.5
- Input-output tables4.OA.C.5
- Review & assessment