1. Addition and subtraction

• Properties of addition and subtraction
• Evaluating expressions
• Equations solved by adding and subtracting
• Represent and analyze mathematical situations and structures using algebraic symbols

2. Multiplication and division

• Properties of multiplication and division
• Order of operations
• Distributive property
• Simplifying expressions
• Equations solved by multiplication and division
• Represent and analyze mathematical situations and structures using algebraic symbols

3. Number theory                      

• Understand numbers and ways to represent numbers       
• Understand relationships among numbers
• Understand different number systems
• Understand patterns, relations, and functions

4. Integers

• Operations with integers
• Evaluating expressions
• Application: represent integers as they relate to real life situations

5. Decimals

• Operations with decimals                                              
• Application: Multi-step problems   
• Compute fluently and make reasonable estimates
• Integrated throughout the year as applicable to concepts

6. Fractions

• Operations with fractions
• Writing fractions as decimals
• Writing decimals as fractions
• Compute fluently and make reasonable estimates
• Integrated throughout the year with all topics

7. Equations and inequalities

• Solving multiple step equations and inequalities
• Apply and adapt a variety of appropriate strategies to solve equations and inequalities
• Application to real life problem solving

8. Ratios, proportions, and percents

• Ratios, proportions, and percents
• Fractions, decimals, and percents
• Application: Select, apply, and translate among ratio, proportion, and percent to solve problems as they relate to equations
• Compute fluently and make reasonable estimates
• Compute simple and compound interest

9. Graphing

• The coordinate system
• Graph with x, y tables
• Solve for y in terms of x
• Identify solutions of linear equations
• Analysis of linear functions

10. Geometry

• Analyze characteristics and properties of two and three dimensional geometric shapes
• Integrate equations and geometry
• Characteristics of parallel and perpendicular lines, special angles, and polygons
• Congruency and similarity of geometric shapes
• Right triangles (30-60-90 and 45-45-90 triangles)
• Transformations (reflections, rotations, and translations)

11. Perimeter, Area, and volume

• Perimeter and Area of regular polygons and irregular figures
• Circumference and area of circles
• Surface area of prisms and cylinders
• Volume of prisms, cylinders, pyramids, and cones
• Application: use visualization, spatial reasoning, and geometric modeling to solve problems

12. Data Analysis and probability

• Statistical analysis of data
• Understand and apply basic concepts of probability
• Experimental and theoretical probability
• Mutually exclusive and overlapping events
• Permutations and combinations
• Odds, independent and dependent events

 13. Exponents

• Find squares and square roots
• The Pythagorean Theorem
• Negative Exponents
• Exponential relationships among monomials and binomials

14. Polynomials

• Monomials, including positive and negative exponents
• Adding and subtracting polynomials
• Multiplying polynomials
  

15. Trigonometric Functions 

• Sine, cosine, and tangent functions
• Integration of trigonometric functions with science