Grade 5 math, age 10 to 11

In Grade 5, pupils achieve fluency with multi-digit multiplication and divide multi-digit whole numbers using standard algorithms. A major focus is expanding the fraction system to include addition and subtraction with unlike denominators, as well as multiplying and dividing fractions. Students also perform operations on decimals to hundredths, calculate volume of rectangular prisms, and graph points on the coordinate plane.

Start a Grade 5 sheet

Equivalent levels

Topics

Number

Topic	Focus	Codes
Order of Operations	introduce	5.OA.A.1
Rounding and Estimating	develop	5.NBT.A.4
Multi-Digit Multiplication	secure	5.NBT.B.5
Long Division	develop	5.NBT.B.6

Algebra

Topic	Focus	Codes
Number patterns and sequences	develop	5.OA.B.3
Coordinate graphing	introduce	5.G.A.1

Decimals

Topic	Focus	Codes
Decimal Place Value	develop	5.NBT.A.3
Comparing and Ordering Decimals	develop	5.NBT.A.3
Adding and Subtracting Decimals	develop	5.NBT.B.7
Multiplying Decimals	develop	5.NBT.B.7
Dividing Decimals	develop	5.NBT.B.7

Fractions

Topic	Focus	Codes
Adding and Subtracting Fractions	develop	5.NF.A.1
Mixed Numbers and Improper Fractions	develop	5.NF.A.1
Multiplying Fractions	introduce	5.NF.B.4
Fraction of a Number	introduce	5.NF.B.4

Measurement

Topic	Focus	Codes
Converting Measurement Units	develop	5.MD.A.1
Volume of Rectangular Prisms	introduce	5.MD.C.5

Geometry

Topic	Focus	Codes
Classifying Angles	develop	5.G.B.4
Identifying 3D Shapes	develop	5.G.B.4

Curriculum items

Indicative, from Common Core State Standards. See the official document for the authoritative text.

5.OA.A.1 Evaluate numerical expressions using parentheses, brackets, or braces and follow the order of operations.
5.OA.B.3 Generate two numerical patterns using given rules and identify relationships between corresponding terms.
5.NBT.A.3 Read, write, and compare decimals to thousandths based on place value representations.
5.NBT.A.4 Round decimals to any place value up to thousandths.
5.NBT.B.5 Multiply multi-digit whole numbers fluently using the standard algorithm.
5.NBT.B.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors.
5.NBT.B.7 Add, subtract, multiply, and divide decimals to hundredths using concrete models or written strategies.
5.NF.A.1 Add and subtract fractions and mixed numbers with unlike denominators by replacing them with equivalent fractions.
5.NF.B.4 Multiply a fraction by a whole number or another fraction and compute rectangular areas with fractional sides.
5.MD.A.1 Convert among different-sized standard measurement units within a given measurement system to solve multi-step problems.
5.MD.C.5 Relate volume to the operations of multiplication and addition and calculate the volume of right rectangular prisms.
5.G.A.1 Graph points in the first quadrant of the coordinate plane to represent real-world and mathematical situations.
5.G.B.4 Classify two-dimensional figures in a hierarchy based on properties of their sides and angles.

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