What students can do over the summer
to prepare for their fall math classes:

 

If you are going into Algebra I or Connections (Every Day Algebra I):

Review the following concepts:

  1. Adding, subtracting, multiplying, and dividing fractions

  2. Finding percentages of numbers

  3. Adding, subtracting, multiplying, and dividing integers (positive and negative numbers)

 

If you are going into Algebra I, Part Two:

Review the following concepts:

  1. Solving linear equations

  2. Simplifying expressions through combining like terms and using the distributive property

  3. Graphing a line

  4. Solving systems of equations

 

If you are going into Geometry, Advanced Geometry,
Algebra II, Advanced Algebra II, or IB Math Studies Year One:

Review the following concepts:

  1. Factoring

  2. Solving equations (both linear and quadratic)

  3. Finding the equation of a line given (a) the slope and y-intercept, (b) the slope and a point on the line, (c) the x-intercept and y-intercept, or (d) two points on the line.

  4. Using the distance formula to find the distance between two points

  5. Finding the slope of a line

  6. Solving a system of equations

  7. Graphing a line

  8. Simplifying expressions through combining like terms and using the distributive property

  9. Simplifying radical expressions

 

If you are going into IB Math SL Year One, IB Math HL Year One,
Algebra III/Trigonometry or Advanced Pre-Calculus:

Review the following concepts:

  1. Everything listed above for students going into Algebra II

  2. Solving and graphing inequalities

  3. Solving and graphing systems of inequalities

  4. Identifying functions

  5. Finding the inverse of a function or relation

  6. Simplifying terms involving negative exponents

  7. Solving quadratic equations using the quadratic formula

  8. Completing the square

  9. Adding, subtracting, multiplying, and dividing rational expressions

  10. Simplifying complex fractions

 

If you are going into Calculus I (either advanced or AP), IB Math SL Year Two, or IB Math HL Year Two:

Review the following concepts:

  1. Everything listed above for students going into Pre-Calculus

  2. Simplifying and evaluating logarithms

  3. Evaluating trigonometric functions for special angles

  4. Converting back and forth between degrees and radians

  5. Graphing the six trigonometric functions (or the basic three - sine, cosine, and tangent - for IB)

  6. Finding the inverse of trigonometric functions

  7. Using trig identities to simplify expressions

  8. Sketching the graphs of polynomial functions of higher degree

  9. Sketching the graphs of rational functions (this includes finding all vertical, and horizontal or slant asymptotes)

  10. Finding the zeros of a function

 

If you are going into AP Calculus II (BC):

Review the following concepts:

  1. Everything listed above for students going into Calculus

  2. Evaluating limits

  3. Evaluating derivatives

  4. Evaluating integrals

 

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