Intermediate

Diagnostic Test

The following topics would be tested for entry into Algebra 1

  1. Whole Numbers: Basic operations, order of operations, prime factorization, GCF, and LCM.
  2. Integers and Algebraic Expressions: Operations with integers, simplifying expressions, and distributive property.
  3. Solving Equations: One-step, two-step, and multi-step equations, including word problems.
  4. Fractions and Mixed Numbers: Simplifying, operations with fractions and mixed numbers.
  5. Decimals: Basic operations, converting between fractions and decimals, rounding.
  6. Ratio and Proportion: Writing ratios, solving proportions, and applications.
  7. Percents: Converting, calculating percentages, and solving word problems.
  8. Measurement and Geometry: Units, perimeter, area, volume, basic geometric concepts.
  9. Graphs and Statistics: Reading graphs, plotting points, basic statistics, and data organization.
  10. Exponents and Polynomials: Understanding exponents, basic polynomial operations, and factoring.

Intermediate MATH Topics

Algebra I

Variables, Expressions,Equations
Graphing with Coordinates,
Linear, Scatter plots
Real numbers and Absolute value functions, Arithmetic of Real numbers
Arithmetic of Equations( Adding, Subtracting) Solving equations, Multistep equations, Using distributive properties
Proportions, Percentages
Introduction to probability and central tendencies
Linear Functions, Slope intercept,two point form, point slope forms, Conditions for parallel and perpendicularity of lines
Inequalities, Solving inequalities,
Absolute value Inequalities
Systems of Linear equations, Substitution, Elimination mathods, Matrix method of solving equations. System of inequalities Graphing feasable regions
Exponents, laws of exponents, Arithmetic of exponents( multiplying , dividing) Scientific notation
Polynomials, Factoring trinomials, Solving by factoring
Quadratic Functions,Completing squares, square root method, graphing
Rational functions, solving Rational functions, Radical functions, Solving radical equations
Transformations – Translations and scaling
Permutaions and Combinations,
Probability

Algebra II

Properties of real numbers,Solving Equations and inequalities,
Solving Absolute value equations and inequalities,
Types of functions-Linear, quadratic,piecewise, absolute value and polynomial and graphing
Matrices, Arithmetic of Matrices,Determinants and Inverses, Gauss jordan method
Quadratic functins,Solving techniques
Polynomial functions, Solving , finding roots,Fundamental theorem of Algebra
Radical functions and function Arithmetic,Solving radical equations
Exponential and Logarithmic functions and properties and graphing
Rational functions, solving rational equations and inequalities
Conic sections- Parabolas, Ellipses, Hyperbolas
Sequences and Series, Binomial theorem
Trigonometric rations and tranformations, Trigonometric identities and equations

Geometry

Fundamentals of Geometry
Lines- Parallel and Perpendicular,
Congruence of Triangles
Properties of Triangles, Similarity of Triangles, AA, SSS, SAS
Multi sided figures,
Right triangle Trigonometry
Perimeter, Circumference, Areas of Triangles and four sided figures,
Coordinate plane
Three dimensional figures’
Surface areas and volumes
Circles and properties