• Major Concepts of North Carolina 6th Grade Math

Link to the actual standards here, pages 1-6

1. Understand ratio concepts and use ratio reasoning to solve problems.
2. Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
3. Compute fluently with multi-digit numbers and find common factors and multiples.
4. Apply and extend previous understandings of numbers to the system of rational numbers.
5. Apply and extend previous understandings of arithmetic to algebraic expressions.
6. Reason about and solve one-variable equations.
7. Reason about one variable inequalities.
8. Represent and analyze quantitative relationships between dependent and independent variables.
9. Solve real-world and mathematical problems involving area, surface area, and volume.
10. Develop understanding of statistical variability.
11. Summarize and describe distributions.

Major Concepts of North Carolina 7th Grade Math

Link to the actual standards here, pages 7-10

1. Analyze proportional relationships and use them to solve real-world and mathematical problems.
2. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
3. Use properties of operations to generate equivalent expressions.
4. Solve real-world and mathematical problems using numerical and algebraic expressions, equations, and inequalities.
5. Draw, construct, and describe geometrical figures and describe the relationships between them.
6. Solve real-world and mathematical problems involving angle measure, area, surface area, and volume.
7. Use random sampling to draw inferences about a population.
8. Make informal inferences to compare two populations.
9. Investigate chance processes and develop, use, and evaluate probability models.