Math Standards

Our trimester home reports indicate a student’s progress toward mastery of the standards identified as benchmarks for each grade level.  This progress is reported under topic headings called “power standards.”

Listed below are some sub-domains in Mathematics that help explain what is assessed under each of those power standards.  For more detailed information, please consult with your child’s homeroom teacher.

 

Grade K Overview

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Counting and Cardinality

  • Know number names and the count sequence.
  • Count to tell the number of objects.
  • Compare numbers.

Operations and Algebraic Thinking

  • Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Number and Operations in Base Ten

  • Work with numbers 11-19 to gain foundations for place value.

Measurement and Data

  • Describe and compare measurable attributes.
  • Classify objects and count the number of objects in each category

Geometry

  • Identify and describe shapes.
  • Analyze, compare, create, and compose shapes.

 

Grade 1 Overview

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Operations and Algebraic Thinking

  • Represent and solve problems involving addition and subtraction.
  • Understand and apply properties of operations and the relationship between addition and subtraction.
  • Add and subtract within 20.
  • Work with addition and subtraction equations.

Number and Operations in Base Ten

  • Extend the counting sequence.
  • Understand place value.
  • Use place value understanding and properties of operations to add and subtract.

Measurement and Data

  • Measure lengths indirectly and by iterating length units.
  • Tell and write time.
  • Represent and interpret data.

Geometry

  • Reason with shapes and their attributes.

 

Grade 2 Overview

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Operations and Algebraic Thinking

  • Represent and solve problems involving addition and subtraction.
  • Add and subtract within 20.
  • Work with equal groups of objects to gain foundations for multiplication.

Number and Operations in Base Ten

  • Understand place value.
  • Use place value understanding and properties of operations to add and subtract.

Measurement and Data

  • Measure and estimate lengths in standard units.
  • Relate addition and subtraction to length.
  • Work with time and money.
  • Represent and interpret data.

Geometry

  • Reason with shapes and their attributes.

 

Grade 3 Overview

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Operations and Algebraic Thinking

  • Represent and solve problems involving multiplication and division.
  • Understand properties of multiplication and the relationship between multiplication and division.
  • Multiply and divide within 100.
  • Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Number and Operations in Base Ten

  • Use place value understanding and properties of operations to perform multi-digit arithmetic.

Number and Operations—Fractions

  • Develop understanding of fractions as numbers.

Measurement and Data

  • Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
  • Represent and interpret data.
  • Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
  • Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Geometry

  • Reason with shapes and their attributes.

 

Grade 4 Overview

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Operations and Algebraic Thinking

  • Use the four operations with whole numbers to solve problems.
  • Gain familiarity with factors and multiples.
  • Generate and analyze patterns.

Number and Operations in Base Ten

  • Generalize place value understanding for multi-digit whole numbers.
  • Use place value understanding and properties of operations to perform multi-digit arithmetic.

Number and Operations—Fractions

  • Extend understanding of fraction equivalence and ordering.
  • Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
  • Understand decimal notation for fractions, and compare decimal fractions.

Measurement and Data

  • Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
  • Represent and interpret data.
  • Geometric measurement: understand concepts of angle and measure angles.

Geometry

  • Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

 

Grade 5 Overview

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Operations and Algebraic Thinking

  • Write and interpret numerical expressions.
  • Analyze patterns and relationships.

Number and Operations in Base Ten

  • Understand the place value system.
  • Perform operations with multi-digit whole numbers and with decimals to hundredths.

Number and Operations—Fractions

  • Use equivalent fractions as a strategy to add and subtract fractions.
  • Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Measurement and Data

  • Convert like measurement units within a given measurement system.
  • Represent and interpret data.
  • Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Geometry

  • Graph points on the coordinate plane to solve real-world and mathematical problems.
  • Classify two-dimensional figures into categories based on their properties.

 

Grade 6 Overview

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Geometry

  • Solve real-world and mathematical problems involving area, surface area, and volume.

Ratios and Proportional Relationships

  • Understand ratio concepts and use ratio reasoning to solve problems.

The Number System

  • Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
  • Multiply and divide multi-digit numbers and find common factors and multiples.
  • Apply and extend previous understandings of numbers to the system of rational numbers.

Expressions and Equations

  • Apply and extend previous understandings of arithmetic to algebraic expressions.
  • Reason about and solve one-variable equations and inequalities.
  • Represent and analyze quantitative relationships between dependent and independent variables.

Statistics and Probability

  • Develop understanding of statistical variability.
  • Summarize and describe distributions.

 

Grade 7 Overview

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Geometry

  • Draw, construct and describe geometrical figures and describe the relationships between them.
  • Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Ratios and Proportional Relationships

  • Analyze proportional relationships and use them to solve real-world and mathematical problems.

The Number System

  • Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Expressions and Equations

  • Use properties of operations to generate equivalent expressions.
  • Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Statistics and Probability

  • Use random sampling to draw inferences about a population.
  • Draw informal comparative inferences about two populations.
  • Investigate chance processes and develop, use, and evaluate probability models.

 

Grade 8 Overview

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

The Number System

  • Know that there are numbers that are not rational, and approximate them by rational numbers.

Geometry

  • Understand congruence and similarity using physical models, transparencies, or geometry software.
  • Understand and apply the Pythagorean Theorem.
  • Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.

Expressions and Equations

  • Work with radicals and integer exponents.
  • Understand the connections between proportional relationships, lines, and linear equations.
  • Analyze and solve linear equations and pairs of simultaneous linear equations.

Functions

  • Define, evaluate, and compare functions.
  • Use functions to model relationships between quantities.

Statistics and Probability

  • Investigate patterns of association in bivariate data.