Number and number system Vectors Matrices Complex Numbers

## Algebra I

The table shows our curriculum on Algebra I. The course deals with expression, equations, sequences and inequalities. The main objectives in every topic are represented as lessons. Our Video lessons in moodle platform are also laid in this format.ID | Topic | Lesson |
---|---|---|

1 | Algebraic expressions - an introduction | 1. Introduction to algebraic expressions 2. addition subtraction and multiplication of simple algebraic expressions 3. factorization of simple algebraic expressions 4.Writing complicated algebraic expressions |

2 | Simple linear equations | 1. Simple linear equation 2. Use of linear equations in solving problems |

3 | Quadratic expressions | 1.Definition of quadratic expressions 2.Factoring quadratic expressions by grouping 3.Quadratic identities 4.Rewriting algebraic expressions 5.Identification of zeros of a function associated with a quadratic expression 6.Completing the square of a quadratic expression 7. maximum and minimum of functions associated with quadratic functions |

4 | Structures and operations on Polynomials | 1. introduction to polynomials 2.Addition and subtraction of polynomials 3.Multiplication of polynomials 4. Division of polynomials by long division 5. Direct synthesis methods 6.comparison of polynomials and the set of integers |

5 | polynomial remainder theorem | 1. Explanation about the polynomial remainder theorem 2.Application of reminder theorem 3. Zeros of a polynomial 4. Sketching of polynomials |

7 | Polynomial identities | 1. Other polynomial identities 2.The pascals triangle 3. Binomial expansion |

8 | Rational algeraic expressions | 1. Definition and simplification of rational algebraic expressions 2. addition and subtraction of rational algebraic expressions 3. multiplication and division of rational algebraic expressions 4. Writing rational expressions using remainder theorem 5. Understing the structure of rational expressions in relation to rational numbers |

9 | advanced linear and non equations | 1. Solution of equations involving rational expressions 2. Solution of exponential and logarithmic functions in one variable 3.Creation and solution of equations involving simple rational and quadratic equations in one variable 4. Creation and solution of exponential functions in one variable 5. Solution of linear equations in one variable having non numerical coefficients 6. solution of radical equations 7. Extraneous solutions as a result of solving simple rational and radical solutions |

10 | Equations in more than one variable | 1.Creation and solution of equations in two or more variable 2. Graphing of equations in two ore more variable 3. Using graphs of equations in one or more variable to solve problems 4. Making variables subjects in a formula |

11 | Series and sequences | 1. Sequences 2. Geometric and arithmetic sequances 3. Arithmetic series 4. Geometric series 5. Summary of geometric series and sequence 6. Summation of geometric series to infinity 7. Transformation of expressions with exponents |

12 | Inequalities | 1. Introduction to inequalities 2. Graphical representation of simple inequalities 3. algebraic solution of inequalities 4. Creation and solution of inequalities in one variable 5. Solution of linear inequations in one variable having non numerical coefficients 6. representing inequalities for quadratic, rational and exponential functions 7. inequalities in two variables 8. Graph of inequalities in two variables 9. Regions on xy plane representing more than one inequality 10. represting constraints by equations or inequalities or systems of equations and inequalities 11. interpretation of solutions arising from systems of equations and inequalities |

13 | Rules of algebra on solution of equations | 1. Rules of algebra 2. Use of rules of algebra in solving equations |

14 | Quadratic equations | 1. Completing square and equations in vertex form 2. Deriving the quadratic formula 3. Solution of quadratic equations by inspection and factoring 4. Solution of quadratic equations by completing square 5. Use of quadratic formula is solving quadratic equations 6. conditions for a quadratic equation to have complex roots |

15 | Simultenous equations | 1. Operations that lead to equivalent equations 2. solution of simultaneous equations by substitution methods 3. solution of simultaneous equations by elimination methods 4. Understanding the algebraic interpretation of a graph of a equations in two variables 5. Explaination on why the intersection of graphs f(x) and g(x) is a solution of the equation f(x)=g(x) 6. solution of simultaneous equations by tables 7. solution of simultaneous equations by graphical methods 8. Algebraic solution of simultenueos equations having quadratic equations 9. Graphical solution of simultenueos equations having quadratic equations 10. Represing a system of linear equations in matrix form 11. Solution of simulatenoes equations by matrix method |