High School Math

Achieve success in high school math with our personalized high school tutoring at Clarity, helping students build mastery and confidence.

Topics and Goals

Algebra 1/2

  • Solve linear equations and inequalities, including those with rational coefficients and absolute values.
  • Factor polynomials, including quadratic expressions, and solve quadratic equations by factoring, completing the square, and using the quadratic formula.
  • Work with systems of equations and solve them using substitution, elimination, and graphing methods.

Trigonometry

  • Understand and apply the six trigonometric ratios (sine, cosine, tangent, cosecant, secant, and cotangent) in right-angled triangles.
  • Graph and analyze trigonometric functions, including sine, cosine, and tangent, and identify their properties such as amplitude, period, and phase shift.
  • Solve real-world problems involving angles of elevation, depression, and circular motion using trigonometric principles.

Geometry

  • Prove and apply geometric theorems, including properties of parallel lines, triangles, and quadrilaterals.
  • Use transformations (translations, rotations, reflections, and dilations) to solve problems involving symmetry and congruence.
  • Calculate and apply the properties of circles, including circumference, area, and the relationship between radii, diameters, and angles.

Pre-Calculus

  • Analyze and graph polynomial, rational, exponential, and logarithmic functions, understanding their behavior and key characteristics.
  • Solve systems of equations and inequalities using advanced methods such as matrices and determinants.
  • Understand and apply concepts of sequences and series, including arithmetic and geometric sequences.

Integrated Math

  • Develop a solid understanding of algebraic, geometric, and statistical concepts and how they interconnect in real-world applications.
  • Use advanced algebraic techniques to solve problems involving quadratic functions, rational expressions, and exponential functions.
  • Interpret and apply geometric principles such as transformations, congruence, and similarity within a broader mathematical context.