K-8th Math

Kindergarten

  1. Counting and Cardinality

    • Count to 100 by ones and tens.

    • Write numbers from 0 to 20.

    • Understand the relationship between numbers and quantities.

  2. Operations and Algebraic Thinking

    • Represent addition and subtraction with objects, drawings, and equations.

    • Solve addition and subtraction word problems within 10.

  3. Number and Operations in Base Ten

    • Work with numbers 11–19 to understand place value (ten ones and some more).

  4. Measurement and Data

    • Describe and compare measurable attributes (e.g., length, weight).

    • Classify objects and count the number in each category.

  5. Geometry

    • Identify and describe shapes (squares, circles, triangles, rectangles).

    • Compose simple shapes to form larger shapes.

1st Grade

  1. Operations and Algebraic Thinking

    • Solve addition and subtraction problems within 20.

    • Understand the relationship between addition and subtraction.

  2. Number and Operations in Base Ten

    • Understand place value for two-digit numbers.

    • Use place value to add and subtract within 100.

  3. Measurement and Data

    • Measure lengths indirectly and by iterating length units.

    • Tell and write time to the hour and half-hour.

    • Organize, represent, and interpret data.

  4. Geometry

    • Reason with shapes and their attributes (partition circles and rectangles into halves and quarters).

2nd Grade

  1. Operations and Algebraic Thinking

    • Solve one- and two-step word problems using addition and subtraction within 100.

    • Work with equal groups of objects to understand the foundation for multiplication.

  2. Number and Operations in Base Ten

    • Understand place value to the hundreds.

    • Use place value understanding and properties of operations to add and subtract within 1,000.

  3. Measurement and Data

    • Measure lengths using standard units (inches, feet, centimeters, meters).

    • Tell and write time to the nearest five minutes.

    • Work with money (counting coins and bills).

  4. Geometry

    • Recognize and draw shapes with specific attributes.

    • Partition shapes into equal shares (halves, thirds, quarters).

3rd Grade

  1. Operations and Algebraic Thinking

    • Represent and solve problems involving multiplication and division.

    • Understand properties of multiplication and the relationship between multiplication and division.

  2. Number and Operations in Base Ten

    • Use place value understanding to round numbers to the nearest 10 or 100.

    • Perform addition and subtraction within 1,000.

  3. Number and Operations—Fractions

    • Develop understanding of fractions as numbers.

    • Represent fractions on a number line.

  4. Measurement and Data

    • Solve problems involving measurement and estimation of time, liquid volumes, and masses of objects.

    • Represent and interpret data using graphs.

  5. Geometry

    • Understand and identify attributes of shapes.

    • Partition shapes into parts with equal areas.

4th Grade

  1. Operations and Algebraic Thinking

    • Solve multistep word problems using whole numbers and explain reasoning.

  2. Number and Operations in Base Ten

    • Generalize place value understanding for multi-digit whole numbers (up to 1,000,000).

    • Perform multi-digit arithmetic with whole numbers.

  3. Number and Operations—Fractions

    • Compare fractions with different denominators.

    • Add, subtract, and multiply fractions by whole numbers.

  4. Measurement and Data

    • Solve problems involving measurement and conversion of measurements.

    • Interpret data in graphs.

    • Understand and calculate angles.

  5. Geometry

    • Classify geometric figures based on properties (e.g., parallel sides, right angles).

5th Grade

  1. Operations and Algebraic Thinking

    • Write and interpret numerical expressions using parentheses, brackets, or braces.

  2. Number and Operations in Base Ten

    • Understand place value with decimals to the thousandths.

    • Perform operations with decimals to hundredths.

  3. Number and Operations—Fractions

    • Add and subtract fractions with unlike denominators.

    • Multiply and divide fractions and mixed numbers.

  4. Measurement and Data

    • Convert measurements within the same system.

    • Understand and calculate volume of rectangular prisms.

  5. Geometry

    • Graph points on the coordinate plane.

    • Classify two-dimensional figures into categories.

6th Grade

  1. Ratios and Proportional Relationships

    • Understand ratio concepts and use them to solve problems.

  2. The Number System

    • Divide fractions by fractions.

    • Understand and compute with multi-digit numbers and decimals.

  3. Expressions and Equations

    • Write and evaluate numerical expressions with whole-number exponents.

    • Solve one-step equations and inequalities.

  4. Geometry

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

  5. Statistics and Probability

    • Develop understanding of statistical variability.

    • Summarize and describe data distributions.

7th Grade

  1. Ratios and Proportional Relationships

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

    • Compute unit rates, including rates involving fractions.

  2. The Number System

    • Apply operations with rational numbers, including addition, subtraction, multiplication, and division.

    • Solve problems involving fractions, decimals, and integers.

  3. Expressions and Equations

    • Use properties of operations to generate equivalent expressions.

    • Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

  4. Geometry

    • Draw, construct, and describe geometric figures and their relationships.

    • Solve problems involving scale drawings, area, surface area, and volume.

  5. Statistics and Probability

    • Use random sampling to draw inferences about a population.

    • Compare two data distributions and analyze their differences.

    • Investigate probability models and find probabilities of events.

8th Grade

  1. The Number System

    • Know and apply the properties of integer exponents to generate equivalent expressions.

    • Perform operations with numbers in scientific notation.

  2. Expressions and Equations

    • Understand and use square roots and cube roots.

    • Solve linear equations and systems of linear equations.

  3. Functions

    • Define, evaluate, and compare functions.

    • Use functions to model relationships between quantities.

  4. Geometry

    • Understand congruence and similarity using physical models or geometry software.

    • Apply the Pythagorean Theorem to solve problems.

    • Solve real-world problems involving volumes of cylinders, cones, and spheres.

  5. Statistics and Probability

    • Investigate patterns of association in bivariate data (scatter plots, lines of best fit).

    • Interpret linear models and relationships between variables.