Khan Academy Summer Math Review

Looking for a list of skills to review this summer? Check out the recommended practice exercises courtesy of the Boys’ Latin School in Maryland.  

For more math practice, log in and explore Khan Academy’s knowledge map.

Grade 6 Math 
1.      Adding and subtracting negative numbers
2.      Multiplying and dividing negative numbers
3.      Adding decimals
4.      Multiplying decimals
5.      Subtracting decimals
6.      Dividing decimals
7.      Greatest common divisor
8.      Least common multiple
9.      Divisibility
10.  Order of operations
11.  Mean median and mode
12.  Adding and subtracting fractions
13.  Multiplying fractions
14.  Dividing fractions
15.  Triangle types
16.  Angle types
17.  Converting decimals to percents
18.  Converting percents to decimals
19.  Converting mixed numbers and improper fractions
20.  Simplifying fractions

Pre-Algebra
1. Adding and subtracting negative numbers
2. Subtracting Decimals
3. Adding Decimals
4. Absolute Value
5. Division 3
6. Multiplying Decimals
7. Greatest Common Divisor (Factor)
8. Division 4
9. Order of Operations
10. Least Common Multiple
11. Exponents I
12. Adding and Subtracting Fractions
13. Multiplying Fractions
14. Dividing Fractions
15. Linear Equations
16. Complimentary and Supplementary Angles
17. Graphing Points 2
18. Ordering Numbers
19. Equivalent Fractions 2
20. Writing Expressions

Algebra 1
1. Prime Factorization
2. Greatest Common Factor 
3. Least Common Multiple
 
4. Dividing Fractions 
5. Order of Operation 
6. Evaluating Expressions 
7. Scientific Notation - video 
7. Scientific Notation - exercise
8. Exponent Rules 
9. Pythagorean Theorem 
10.  Percentage Word Problems 
11.  Writing Expressions
12.  Graphing Points 
13.  Slope of a Line 
14.  Graphing Linear Equations 
15.  Graphing Inequalities 
16.  Graphing Systems of Equations 
17.  Simplifying Radicals 
18.  Multiplying Expressions 
19.  Factoring  Polynomials 
20.  Factoring Difference of Squares

Geometry and
Geometry Honors
1. Angles 1
2. Angles 2
3. Complementary and Supplementary Angles
4. Distance Formula 
5. Solid Geometry
6. Adding Fractions
7. Dividing Fractions
8. Identifying Slope of a Line
9. Factoring Polynomials 1
10. Multi-step Equations
11. Multiplying Polynomials
12. Equations of Parallel and Perpendicular Lines
13. Multi-Step Linear Inequalities
14. Evaluating Expressions in 2 variables
15. Systems of Equations
16. Multiplying Expressions 1
17. Simplifying Radicals
18. Pythagorean Theorem
19. Special Right Triangles
20. Trigonometry 0.5

Algebra II
1. Inverses of Functions
2. Domain of a Function
3. Quadratic Formula
4. Solutions to Quadratic Equations
5. Systems of Equations
6. Solving Quadratics by Taking the Square Root
7. Solving Quadratics by Factoring
8. Graphing Parabolas in Standard Form
9. Graphing Paraboloas in All Forms
10. Equation of a Line
11. Solving for the Y-Intercept
12.  Completing the Square 1
13.  Trigonometry 1
14.  Simplifying Expressions with Exponents
15.  Factoring difference of squares 2
16.  Linear Equations 4
17.  Writing Expressions 2
18.  Inverse Trig Functions
19.  Shifting and Reflecting Functions
20. Vertex of a Parabola

Algebra II Honors
1. Solving for the Y-Intercept (Alg I)
2. Average Word Problems (Alg I)
3. Multi-step linear inequalities (2.1-3)
4. Linear Equations 4 (3.1-4)
5. Systems of Equations (3.5)
6. Domain of a Function (3.8)
7. Simplifying Expressions with Exponents (4.2)
8. Multiplying Expressions 1 (4.3)
9. Solving Quadratics by Factoring (4.5)
10. Factoring difference of squares 2 (4.6)
11.Simplifying Rational Expressions I  (5.4) 

12. Simplifying Rational Expressions II (5.4)
13. Multiplying Complex Numbers (6.7)
14. Completing the Square 1 (7.1)
15. Quadratic Formula (7.2)
16. Shifting and Reflecting Functions (7.5)
17. Inverses of Functions (10.3)
18. Trigonometry 1 (12.2)
19. Trigonometry 1.5 (12.2)
20. Writing Expressions 2 (whole text)

Precalculus
1. Systems of Equations and Inequalities
2. Trigonometry 2
3. Unit Circle
4. Trig Identities
5. Logarithms 2
6. Even and odd functions
7. Complex numbers
8. Exponents 4
9. Graphing Systems of Equations
10. Adding and Subtracting Fractions
11. Absolute Value of Complex Numbers
12. Scaling Vectors
13. Vectors
14. Domain and Range
15. Dividing Fractions
16. Degrees to Radians
17. Completing the Square
18. Factoring Polynomials
19. Inverse Trig Functions
20. Radical Equations

Pre-calculus Honors
1. Systems of Equations and Inequalities
2. Trigonometry 2
3. Unit Circle
4. Trig Identities
5. Logarithms 2
6. Even and odd functions
7. Complex numbers
8. Exponents 4
9. Graphing Systems of Equations
10. Adding and Subtracting Fractions
11. Dividing Polynomials by Binomials 3
12. Scaling Vectors
13. Vectors
14. Domain and Range
15. Dividing Fractions
16. Pythagorean Identities
17. Completing the Square
18. Factoring Polynomials
19. Inverse Trig Functions
20. Radical Equations 

Applied Calculus Honors
1. Expressions with Unknown Variables 2 
2. Logarithms 2 
3. Radical Equations
 
4. Domain of a Function 
5. Solving Quadratics by Factoring
6. Quadratic Formula
7. Trigonometry 1 (Alg 2) 
8. Trigonometry 1.5 (Alg 2)
9. Inverse Trig Functions (PC)
 
10. Limits 1
11. Limits 2 
12. Derivative Intuition
 
13. Derivatives I 
14. Power Rule
15. Chain Rule
 
16. Product Rule 
17. Quotient Rule 
18. Special Derivatives 
19. Unit Circle 
20. Trig Identities

 AP Calculus AB 
1. Limits 1 
2. Limits 2 
3. Derivative Intuition 
4. Derivatives I 
5. Power Rule 
6. Chain Rule 
7. Product Rule 
8. Quotient Rule  
9. Special Derivatives 
10. L’Hopital’S Rule 
11.Unit Circle 
12.Trig Identities
13. Inverse Trig Functions 
14.Adding Vectors 
15.Scaling Vectors 
16.Simplifying Rational Expressions 3 
17.Logarithms 1 
18. Logarithms 2 
19. Recognizing Concavity
20. Recognizing Slope

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