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Secondary Curricula

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Carnegie Learning Math Series

The series contains Carnegie Learning® Math Textbooks for grades 6-8 and Carnegie Learning® MATHia software. Together these instructional materials provide formative assessments, relevant problem-centered activities to develop mathematical reasoning and sense making skills, and technology to personalize learning.

Since the middle grades are critical for students to obtain mastery of mathematics, the courses were developed to align to the Common Core State Standards for Mathematics. Students who complete the series will have a solid foundation to be successful in high school mathematics.

For more information about this new middle school curricula, please visit our new Math Series website at: http://mathseries.carnegielearning.com

Topics Covered

Course 1 (Grade 6)

  1. Least Common Multiples and Greatest Common Factors
  2. Introduction to Fractions
  3. Improper Fractions, Mixed Numbers, and Fractional Operations
  4. Ratios
  5. Ratios and Rates
  6. Introduction to Expressions
  7. Algebraic Expressions
  8. Algebraic Equations and Inequalities
  9. Integers
  10. Graphing in the Coordinate Plane
  11. Area
  12. Volume
  13. Surface Area
  14. What and Why of Statistics
  15. Quartiles and Interquartile Range

Course 2 (Grade 7)

  1. Ratios and Proportions
  2. Co-variation
  3. Percents
  4. Addition and Subtraction with Rational Numbers
  5. Multiplication and Division with Rational Numbers
  6. Numerical and Algebraic Expressions and Equations
  7. Solving Linear Equations and Inequalities
  8. The Power of Algebraic Reasoning
  9. Drawing Geometric Figures and Scale Models
  10. Circles
  11. Angles
  12. Triangles
  13. Three-Dimensional Figures
  14. Gathering Data and Randomization
  15. Comparing Inferences About Populations
  16. Introduction to Probability
  17. Probability of Compound Events

Course 3 (Grade 8)

  1. Linear Equations
  2. Linear Functions
  3. Slope: Unit Rate of Change
  4. Multiple Representations of Linear Functions
  5. Systems of Linear Equations and Functions
  6. Solving Linear Systems Algebraically
  7. Solving Linear Systems
  8. Properties of Exponents
  9. Preservation of Size and Shape
  10. Congruence
  11. Similarity
  12. Irrational Numbers
  13. Pythagorean Theorem
  14. Angles and Triangles
  15. Volumes and Circles
  16. Data in two variables
  17. Lines of best fit
  18. Real Number system