Mathnasium of Trinity-New Port Richey: High School Math Program Algebra and Geometry

In high school, students focus on higher math—including algebra I, geometry, algebra II, trigonometry, and pre-calculus—in preparation for high school exit exams, college placement exams, and standardized college entrance exams such as the SAT and the ACT.

Our Approach

By the time they reach high school, all students perform at different skill levels. To determine each student’s abilities, we give each one a written and verbal assessment unique to Mathnasium of Trinity-New Port Richey. Based on the assessment results, our team builds a customized learning plan designed to fit the student’s specific needs in two important ways—to avoid spending time on things they already know and to strengthen the things they need help on. 

We understand the pressures and busy schedules our high school students face, so our focus is to help with immediate problems, such as homework help and test prep, while filling in any foundational gaps in their mathematical knowledge. The goal is to enhance their performance in the crucial exams they’ll be taking that can have a great effect on their future—high school exit exams, college placement exams, and standardized college entrance exams such as the SAT and the ACT.

High School Homework Help

Our experienced math instructors provide homework and study help that addresses gaps in knowledge. As these gaps close, students understand the material better, boost homework confidence, and raise their assignment grades. With this help, instead of seeing homework as a burden, students begin to see it as a welcome challenge and an opportunity for further learning.

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."

We are an authority in Math Education. Call us at 727-362-6284 to know more our program or click below to schedule your free assessment appointment.