Class with Mohammad S about algebra .pptx

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1. Class with Mohammad S

2. Overview of Topic Teaching concepts Solving examples Homework Tests Solving past papers Any suggestion made by the student Mathematics Teaching methodology

3. Learning Outcomes Different terms used in algebra Add, subtract, multiply and divide algebraic terms Solving algebraic expression Solving quadratic equation In this chapter you have learned to: Solving linear equation Algebra

4. Father of algebra Al-Khwarizmi Muhammad ibn Musa al-Khwarizmi was a 9th-century Muslim mathematician and astronomer. He is known as the “father of algebra”, a word derived from the title of his book, Kitab al-Jabr

5. Algebra Variable Constant Coefficient Exponent Base

6. Variable: A variable is a letter that represents a number. Coefficient: A coefficient is a number or symbol that is multiplying a variable. Constant: A constant is a quantity that does not change in value, i.e. a number by itself. Term: A constant, a variable or a constant multiplied by a variable are all considered terms. Algebraic Expression: This is an expression that contains one or more numbers, one or more variables, and one or more arithmetic operations. Polynomial: Polynomials have variables that have whole number powers. Definitions

7. Examples 2x-3 5z-5 3y 2 +5 a+b+c+5

8. Algebraic expression An algebraic expression is a mathematical phrase that consists of numbers, variables, and arithmetic operations. These expressions are used to represent mathematical relationships and can be simplified or evaluated by substituting specific values for the variables. Algebraic expressions do not contain equality or inequality symbols

9. Like Unlike terms Like terms are terms that have the same variable part or are constants. The variable part of like terms must be identical, including the same variable(s) and the same exponents on those variables. The coefficients (the numerical part in front of the variable) can be different, but the variables must match exactly. Unlike terms are terms that have different variable parts. Unlike terms cannot be combined directly because their variable components are different

10. Addition of algebraic terms

11. subtraction of Algebraic terms

12. Multiplication of algebraic terms

13. Algebraic sentence Algebraic sentences give the relation between two algebraic expressions Following symbols are used in an algebraic sentence = < >

14. Statement Sentences which are either true or false are called Statement

15. Open statement An open sentence uses a variable, so it is not known if it is true or false

16. Solving an statement

17. Addition of like terms

18. Addition and subtraction of like terms

19. Simplifying an algebraic expression

20. Evaluation of algebraic expression

21. Algebraic equation Two algebraic expression form a algebraic equation when they are related with each other by the symbol of equality (=)

22. Linear equation An equation in one variable where the exponent of the variable is 1, is called a linear equation in one variable

23. Solution of linear equation The solution to a linear equation is the value or set of values for the variable(s) that makes the equation true

24. Rules to solve an linear equation The same is added on both side The same is subtracted from both side The same is multiplied to both side The same is divided to both side Main goal is to isolate the variable

25. Multiplication in Algebra

26. Few word problems The sum of three consecutive numbers is 10. What are the numbers? The product of two consecutive even numbers is 48. What are the numbers? The sum of three consecutive odd numbers is 51. What are the numbers?

27. The sum of four consecutive numbers is 14. What are the numbers? The sum of two consecutive numbers is 21 . What are the numbers? The sum of four consecutive numbers is 35 . What are the numbers? The sum of three consecutive numbers is 36. What are the numbers? The sum of five consecutive numbers is 20. What are the numbers?

28. The perimeter of a rectangle is 26 cm, and its length is 9 cm. Find the width of the rectangle. A garden is 4 times as long as it is wide. If the width is 5 meters, find the area of the garden.