Common Core Math: Grade 5
In fifth grade, students add, subtract, multiply and divide with multi-digit whole numbers, decimals and fractions. Students simplify and evaluate expressions with parentheses using the order of operations. The concept of the coordinate grid is introduced. Students learn to plot ordered pairs as points on the coordinate grid and use plotting as a tool for visualizing numerical patterns. Students also categorize shapes, convert between units of measurement and compute volumes of rectangular prisms.
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Use place value to perform arithmetic, including with numbers expressed as decimals.
Interpret a number in terms of place value (CCSS.Math.Content.5.NBT.A.1):
Compare the magnitudes of numbers (CCSS.Math.Content.5.NBT.A.3b):
Round a number to any place value (CCSS.Math.Content.5.NBT.A.4):
Perform arithmetic with decimals (CCSS.Math.Content.5.NBT.B.7):
Classify shapes and plot points on a coordinate grid.
Determine if a shape belongs to a given category (CCSS.Math.Content.5.G.B.3):
Plot ordered pairs as points (CCSS.Math.Content.5.G.A.1):
Perform arithmetic and evaluate expressions with multiple operations.
Evaluate expressions with parentheses (CCSS.Math.Content.5.OA.A.1):
Represent calculations with expressions (CCSS.Math.Content.5.OA.A.2):
Get information about a numerical pattern (CCSS.Math.Content.5.OA.B.3):
Perform addition, subtraction, multiplication and division with fractions, including with unlike denominators.
Add and subtract fractions (CCSS.Math.Content.5.NF.A.1):
Multiply fractions (CCSS.Math.Content.5.NF.B.4):
Divide a whole number by a fraction (CCSS.Math.Content.5.NF.B.7b):
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Convert between measurement units and compute volume.