# Top 10 Math Skills For Grade 9 - Grade 12

What math skills should students have mastered at Grade 9 - Grade 12? We surveyed at least 10 math teachers per grade level. They listed the top 10 math skills per grade level for us. The math skills that teachers recommended are listed in alphabetic order. We are in the process of compiling a much larger survey. When the survey is completed, we will rank skills by frequency of recommendation.

### Grade 9

- Absolute Value Equations
- Add and Subtract Complex Numbers
- Central Tendency - Mean, Mode, Median
- Common Factors
- Congruence of Triangles
- Direct Euclidean Proofs
- Graphing Inequalities
- Graphs of Linear Equations: Slope and Intercept
- Linear Quadratic Systems
- Solve for an Unknown

### Grade 10

- Addition of Matrices
- Binary Operations
- Circle Proofs
- Definition of a Function
- Draw the Line
- Evaluating Expressions
- Graphing Functions
- Graphing Systems of Inequalities
- Multiplying Polynomials
- Sample Spaces Word-based

### Grade 11

- Algebraic Translations
- Combinations: nCn & nCr
- Cyclic Nature of the Powers of i
- Factoring Application
- Factoring Trinomials ( a <> 1 )
- Graphically Represent the Inverse of a Function
- Indirect Euclidean Proofs
- Operations with Radicals
- Permutations: nPn & nPR
- Prisms, Pyramids, Cylinders, Cones, Spheres

### Grade 12

- Algebraic Solutions to Linear Systems
- Applied Problems for Inequalities
- Conditional Probability
- Multiplying and Dividing Complex Number
- Radical Equations
- Solving Exponential Equations (lacking a common base)
- Solving Linear Inequalities
- Undefined Algebraic Fractions (Advanced)
- Translations
- Trigonometric Word Problems