5th grade

5th grade

Here you will find all 5th grade resources to guide and support mathematics teaching and learning.

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These resources are organized by mathematical strand and refer to specific Common Core math content standards.

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5.OA.1

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Problems of the Month

5.OA.2

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

5.OA.3

Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.

Performance Assessment Tasks

5.NBT.3

Read, write, and compare decimals to thousandths.

Performance Assessment Tasks

5.NBT.4

Use place value understanding to round decimals to any place value.

Performance Assessment Tasks

5.NBT.5

Fluently multiply multi-digit whole numbers using the standard algorithm.

Problems of the Month

Performance Assessment Tasks

5.NBT.6

Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Problems of the Month

Performance Assessment Tasks

5.NBT.7

Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Problems of the Month

5.NF.1

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

Problems of the Month

Performance Assessment Tasks

5.NF.2

Solve word problems involving addition and subtraction of fractions referring to the same whole including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem.

Problems of the Month

Performance Assessment Tasks

5.NF.3

Interpret a fraction as division of the numerator by the denominator (a/b = a ? b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Problems of the Month

Performance Assessment Tasks

5.NF.4

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Performance Assessment Tasks

5.NF.5

Interpret multiplication as scaling (resizing)…

Problems of the Month

5.NF.6

Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Problems of the Month

Performance Assessment Tasks

5.NF.7

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

Problems of the Month

5.MD.1

Convert among different-sized standard measurement units within a given measurement system (e.g. convert 5 cm to 0.05 m) and use these conversions in solving multi-step, real world problems.

Performance Assessment Tasks

5.MD.2

Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots.

Problems of the Month

5.MD.3

Recognize volume as an attribute of solid figures and understand concepts of volume and measurement.

Problems of the Month

Performance Assessment Tasks

5.MD.4

Measure volumes by counting unit cubes, using cubic cm, cubic in., cubic ft., and improvised units.

Problems of the Month

Performance Assessment Tasks

5.MD.5

Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Problems of the Month

Performance Assessment Tasks

5.G.1

Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates.

Performance Assessment Tasks

5.G.2

Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation.

Performance Assessment Tasks

5.G.3

Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.

Problems of the Month

Performance Assessment Tasks

5.G.4

Classify two-dimensional figures in a hierarchy based on properties.

Problems of the Month

Performance Assessment Tasks