#### Math Resources

We've compiled a list of Mathnasium resources for your child to catch up, keep up, or get ahead with their math this summer. Click on the links below to check them out!

High School Program Samples

The curriculum samples shown here represent critical topics we address at each grade level.

Algebra I

Connecting algebra to previous learning

- Solving linear equations, systems of linear equations (2 variables), and quadratic equations
- Solve: 2(5x - 1) = 3x + 2, 2x + 3 = 14, 4y + 3 = 0, x2 - x - 1 = 0
- Factoring. Factor: x2 - 8x - 20, a2 - 36, 9x2 - x - 8, 12abc - 8ab - 4a
- Solving algebraic word problems: "30 stamps are worth a total of $8.61. Some of the stamps are worth 32¢ each and the rest are worth 23¢ each. How many of the stamps are worth 23¢ each?"

High School Geometry

- Synthetic geometry: geometric proofs—use of axioms and primitive terms "Prove vertical angles are equal."
- Metric (coordinate) geometry—the Pythagorean theorem, the distance formula, the mid-point formula "Find the diagonal of a rectangle whose length is 12 and whose width is 5."
- Properties of geometric figures—congruence, similarity, proportionality
- All about slope "Find the slope of the line that is perpendicular to the line 3x + 2y = 8."

Algebra II

- The relationship between logs and exponents
- Arithmetic and geometric sequences "What is the 10th term of the sequence 1, 1/2, 1/4, 1/8 ...?"
- Combinations and permutations "How many ways can 7 books be arranged on a shelf in groups of 5?"
- Matrix operations
- Study of complex numbers "Simplify (2 + 3i)/(3 – 4i)."

Trigonometry

- Properties of sine, cosine, and tangent and their inverses "If sinA = 4/5, find cosA." "Express tanB in terms of sinB and cosB."
- Graphs of trigonometric functions "Sketch ƒ(x) = 2sinx + 3 over the domain -2Π to 2Π."
- Proving trigonometric identities "Verify that secA – cosA = sinAtanA."
- Applications in the real world "A rocket is fired at sea level and climbs at a constant angle of 65° through a distance of 12,000 miles. What is the altitude of the rocket to the nearest foot?"

Pre-Calculus

- Domain and range of a function; composition of functions "What is the domain and range of the function ƒ(x) = 3/(x + 1)?" "If ƒ(x) = 3x and g(x) = x + 1, find ƒ(g(x))."
- Exponential growth "Find the interest on $1,000 invested at 5% per year, compounded continuously."
- Conic sections (circles, parabolas, ellipses, and hyperbolas) "What is the center and radius of the circle whose equation is (x - 3)2 + (x – 4)2 = 9?"
- Limits "Find the limit of ƒ(x) = 1/x as x approaches infinity."

Mathnasium meets your child where they are and helps them with the customized program they need, for any level of mathematics.

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- Get a math skills assessment for your child
- Your child will complete a customized learning plan

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