Grade 7: Standards

Number Sense and Operations

  • 1

    Rewrite numbers in equivalent forms.

    1. 1

      Know and apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to whole-number exponents and rational number bases.MA.7.NSO.1.1

    2. 2

      Rewrite rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages to solve mathematical and real-world problems.MA.7.NSO.1.2

  • 2

    Add, subtract, multiply and divide rational numbers.

    1. 1

      Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols, whole-number exponents and absolute value.MA.7.NSO.2.1

    2. 2

      Add, subtract, multiply and divide rational numbers with procedural fluency.MA.7.NSO.2.2

    3. 3

      Solve real-world problems involving any of the four operations with rational numbers.MA.7.NSO.2.3

Algebraic Reasoning

  • 1

    Rewrite algebraic expressions in equivalent forms.

    1. 1

      Apply properties of operations to add and subtract linear expressions with rational coefficients.MA.7.AR.1.1

    2. 2

      Determine whether two linear expressions are equivalent.MA.7.AR.1.2

  • 2

    Write and solve equations and inequalities in one variable.

    1. 1

      Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically.MA.7.AR.2.1

    2. 2

      Write and solve two-step equations in one variable within a mathematical or real-world context, where all terms are rational numbers.MA.7.AR.2.2

  • 3

    Use percentages and proportional reasoning to solve problems.

    1. 1

      Apply previous understanding of percentages and ratios to solve multi-step real-world percent problems.MA.7.AR.3.1

    2. 2

      Apply previous understanding of ratios to solve real-world problems involving proportions.MA.7.AR.3.2

    3. 3

      Solve mathematical and real-world problems involving the conversion of units across different measurement systems.MA.7.AR.3.3

  • 4

    Analyze and represent two-variable proportional relationships.

    1. 1

      Determine whether two quantities have a proportional relationship by examining a table, graph or written description.MA.7.AR.4.1

    2. 2

      Determine the constant of proportionality within a mathematical or real-world context given a table, graph or written description of a proportional relationship.MA.7.AR.4.2

    3. 3

      Given a mathematical or real-world context, graph proportional relationships from a table, equation or a written description.MA.7.AR.4.3

    4. 4

      Given any representation of a proportional relationship, translate the representation to a written description, table or equation.MA.7.AR.4.4

    5. 5

      Solve real-world problems involving proportional relationships.MA.7.AR.4.5

Geometric Reasoning

  • 1

    Solve problems involving two-dimensional figures, including circles.

    1. 1

      Apply formulas to find the areas of trapezoids, parallelograms and rhombi.MA.7.GR.1.1

    2. 2

      Solve mathematical or real-world problems involving the area of polygons or composite figures by decomposing them into triangles or quadrilaterals.MA.7.GR.1.2

    3. 3

      Explore the proportional relationship between circumferences and diameters of circles. Apply a formula for the circumference of a circle to solve mathematical and real-world problems.MA.7.GR.1.3

    4. 4

      Explore and apply a formula to find the area of a circle to solve mathematical and real-world problems.MA.7.GR.1.4

    5. 5

      Solve mathematical and real-world problems involving dimensions and areas of geometric figures, including scale drawings and scale factors.MA.7.GR.1.5

  • 2

    Solve problems involving three-dimensional figures, including right circular cylinders.

    1. 1

      Given a mathematical or real-world context, find the surface area of a right circular cylinder using the figure’s net.MA.7.GR.2.1

    2. 2

      Solve real-world problems involving surface area of right circular cylinders.MA.7.GR.2.2

    3. 3

      Solve mathematical and real-world problems involving volume of right circular cylinders.MA.7.GR.2.3

Data Analysis and Probability

  • 1

    Represent and interpret numerical and categorical data.

    1. 1

      Determine an appropriate measure of center or measure of variation to summarize numerical data, represented numerically or graphically, taking into consideration the context and any outliers.MA.7.DP.1.1

    2. 2

      Given two numerical or graphical representations of data, use the measure(s) of center and measure(s) of variability to make comparisons, interpret results and draw conclusions about the two populations.MA.7.DP.1.2

    3. 3

      Given categorical data from a random sample, use proportional relationships to make predictions about a population.MA.7.DP.1.3

    4. 4

      Use proportional reasoning to construct, display and interpret data in circle graphs.MA.7.DP.1.4

    5. 5

      Given a real-world numerical or categorical data set, choose and create an appropriate graphical representation.MA.7.DP.1.5

  • 2

    Develop an understanding of probability. Find and compare experimental and theoretical probabilities.

    1. 1

      Determine the sample space for a simple experiment.MA.7.DP.2.1

    2. 2

      Given the probability of a chance event, interpret the likelihood of it occurring. Compare the probabilities of chance events.MA.7.DP.2.2

    3. 3

      Find the theoretical probability of an event related to a simple experiment.MA.7.DP.2.3

    4. 4

      Use a simulation of a simple experiment to find experimental probabilities and compare them to theoretical probabilities.MA.7.DP.2.4

Frequently asked questions

What grade levels do these standards cover?
Grade 7
Where can I read the official document?
Mathematics (B.E.S.T.) Standards