Algebra powerpoint for post primary students

Algebra PowerPoint for post primary students

1. Algebra Niamh O Regan & Tadc O Mahoney

2. Learning outcomes Students will be able to apply the quadratic formula correctly to solve quadratic equations. This includes identifying the values of a, b, and c in a given equation and plugging them into the formula accurately. Students will be able to grasp the underlying concept of the –b formula. When solving simultaneous equations student’s should be able to apply accurate solutions to simultaneous equations using chosen methods. This includes correctly performing algebraic manipulations, operations, and solving for unknown variables. Students will be able to grasp the underlying concept of the simultaneous equation.

3. Learning intentions AF.2 Investigate situations in which letters stand for quantities that are variable AF.4 select and use suitable strategies (graphic, numeric, algebraic, trial and improvement, working backward) for finding solutions to: . simultaneous linear equations in two variables with coefficients and solutions in ℤ or in ℚ

4. Success Criteria Students will understand what quadratic equations are and how they are different from linear equations and other types of equations. Students will be able to identify the coefficients (a, b, and c) in a given quadratic equation and correctly substitute them into the quadratic formula. Students will understand the concept of simultaneous equations and recognise that they represent multiple equations with common variables. Students will be familiar with various methods for solving simultaneous equations, such as the substitution method, elimination method, matrix method, or graphical method.

5. Algebra: Solving Equations Equations such as contain a term in x². these are called quadratic equations. Subbing in: Take the equation x²-5x+6=0 When x=2 then, (2)² - 5(2)+6=0 i.e. 4-10+6=0

6. To solve quadratic equations is: -B Formula When it’s used: The –b formula is used to solve quadratic equations of the form: A= coefficient of x² B= coefficient of x C= constant

7. Example A= 3 B=25 C=-18 Then you sub these number into the formula on next slide.

8. -B Formula

9. How to insert into calculator A=3 B=25 C=-18

10. Please Fill out this mentimeter :

11. Quadratic equations applied to real life problem:

12. Question: 2022 paper 1 Q9

13. Question 2019 paper 1 question 14    

14. Solving Linear Equations in Two Variables: The equation y = 2x + 5 is a linear equation. It represents the equation of a line with a slope of 2 and a y-intercept of 5. There are an infinite number of solutions to the equation y= 2x + 5.   x= 0 and y= 5 is one, can you see why? x=-2 and y= 1 is another solution

15. In this section, we will be working with 2x2 systems, these are systems with two equations in two unknowns So let’s solve an equation! Method 1: By elimination

16. Method 2: By substitution

17. Homework: