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    K-8th Math
Kindergarten
- Counting and Cardinality - Count to 100 by ones and tens. 
- Write numbers from 0 to 20. 
- Understand the relationship between numbers and quantities. 
 
- Operations and Algebraic Thinking - Represent addition and subtraction with objects, drawings, and equations. 
- Solve addition and subtraction word problems within 10. 
 
- Number and Operations in Base Ten - Work with numbers 11–19 to understand place value (ten ones and some more). 
 
- Measurement and Data - Describe and compare measurable attributes (e.g., length, weight). 
- Classify objects and count the number in each category. 
 
- Geometry - Identify and describe shapes (squares, circles, triangles, rectangles). 
- Compose simple shapes to form larger shapes. 
 
1st Grade
- Operations and Algebraic Thinking - Solve addition and subtraction problems within 20. 
- Understand the relationship between addition and subtraction. 
 
- Number and Operations in Base Ten - Understand place value for two-digit numbers. 
- Use place value to add and subtract within 100. 
 
- 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. 
 
- Geometry - Reason with shapes and their attributes - (partition circles and rectangles into halves and quarters). 
 
2nd Grade
- 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. 
 
- 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. 
 
- 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). 
 
- Geometry - Recognize and draw shapes with specific attributes. 
- Partition shapes into equal shares (halves, thirds, quarters). 
 
3rd Grade
- Operations and Algebraic Thinking - Represent and solve problems involving multiplication and division. 
- Understand properties of multiplication and the relationship between multiplication and division. 
 
- 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. 
 
- Number and Operations—Fractions - Develop understanding of fractions as numbers. 
- Represent fractions on a number line. 
 
- Measurement and Data - Solve problems involving measurement and estimation of time, liquid volumes, and masses of objects. 
- Represent and interpret data using graphs. 
 
- Geometry - Understand and identify attributes of shapes. 
- Partition shapes into parts with equal areas. 
 
4th Grade
- Operations and Algebraic Thinking - Solve multistep word problems using whole numbers and explain reasoning. 
 
- 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. 
 
- Number and Operations—Fractions - Compare fractions with different denominators. 
- Add, subtract, and multiply fractions by whole numbers. 
 
- Measurement and Data - Solve problems involving measurement and conversion of measurements. 
- Interpret data in graphs. 
- Understand and calculate angles. 
 
- Geometry - Classify geometric figures based on properties (e.g., parallel sides, right angles). 
 
5th Grade
- Operations and Algebraic Thinking - Write and interpret numerical expressions using parentheses, brackets, or braces. 
 
- Number and Operations in Base Ten - Understand place value with decimals to the thousandths. 
- Perform operations with decimals to hundredths. 
 
- Number and Operations—Fractions - Add and subtract fractions with unlike denominators. 
- Multiply and divide fractions and mixed numbers. 
 
- Measurement and Data - Convert measurements within the same system. 
- Understand and calculate volume of rectangular prisms. 
 
- Geometry - Graph points on the coordinate plane. 
- Classify two-dimensional figures into categories. 
 
6th Grade
- Ratios and Proportional Relationships - Understand ratio concepts and use them to solve problems. 
 
- The Number System - Divide fractions by fractions. 
- Understand and compute with multi-digit numbers and decimals. 
 
- Expressions and Equations - Write and evaluate numerical expressions with whole-number exponents. 
- Solve one-step equations and inequalities. 
 
- Geometry - Solve real-world and mathematical problems involving area, surface area, and volume. 
 
- Statistics and Probability - Develop understanding of statistical variability. 
- Summarize and describe data distributions. 
 
7th Grade
- Ratios and Proportional Relationships - Analyze proportional relationships and use them to solve real-world and mathematical problems. 
- Compute unit rates, including rates involving fractions. 
 
- The Number System - Apply operations with rational numbers, including addition, subtraction, multiplication, and division. 
- Solve problems involving fractions, decimals, and integers. 
 
- Expressions and Equations - Use properties of operations to generate equivalent expressions. 
- Solve real-life and mathematical problems using numerical and algebraic expressions and equations. 
 
- Geometry - Draw, construct, and describe geometric figures and their relationships. 
- Solve problems involving scale drawings, area, surface area, and volume. 
 
- 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
- The Number System - Know and apply the properties of integer exponents to generate equivalent expressions. 
- Perform operations with numbers in scientific notation. 
 
- Expressions and Equations - Understand and use square roots and cube roots. 
- Solve linear equations and systems of linear equations. 
 
- Functions - Define, evaluate, and compare functions. 
- Use functions to model relationships between quantities. 
 
- 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. 
 
- Statistics and Probability - Investigate patterns of association in bivariate data (scatter plots, lines of best fit). 
- Interpret linear models and relationships between variables. 
 
