Grade 9 QI Week 1(Quadratic Equations).pptx

This is a presentation on the Lesson 1 of Math 9 Q1. The power point is all about Quadratic Equations.

1. Spell It Out!

2. Another Kind of Equation! 1 2 3 4           5

3. Illustrations of Quadratic Equations Quarter I, Week 1

4. Identify quadratic equations 1 2 Write quadratic equations in standard form Learning Outcomes

5. A quadratic equation in one variable is a mathematical sentence of degree 2 that can be written in the following standard form. where a, b, and c are real numbers and a ≠ 0.

6. quadratic term linear term constant term

7. quadratic term linear term constant term  

8.   a=2 b=5 c=-3

11.   a=2 b=3 c=1

12. Quadratic or Not? 1 2 3 4           5

13. Set Me To Your Standard! Write each quadratic equation in standard form, a x 2 + b x + c = 0 then identify the values of a , b , and c .  

14. Solving Quadratic Equations by Extracting Square Roots Quarter I, Week 1

15. Express quadratic equation in the form   1 2 Solve quadratic equation by extracting square roots. Learning Outcomes

16. Solve the following quadratic equations by extracting square roots.

17. Solve the following quadratic equations by extracting square roots. A quadratic equation is an equation of degree 2 that can be written in the form ax 2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.   To solve an incomplete quadratic equation: Solve the equation for the square of the unknown number. 2. Find the square roots of both members of the equation.

18. Fact Or Bluff? Write fact if the equation is quadratic and bluff if the equation is not quadratic. 1. + x – 3 = 0 2. 24x + 81 = 3. = 2x (6 + 4) 4. 2 = 7x 5. 5 – x + (2x - 3) = 12  

19. Any Questions?

20. SIKAP ACTIVITY Form a word out from the given letters. SAFCTRO ELVOS CQDRTAUAI UOONSSTIL OOTR

21. Solving Quadratic Equations by Factoring Quarter I, Week 1

22. Find the factors of quadratic expressions. 1 2 Apply the zero product property in solving quadratic equations. Learning Outcomes

23. Steps in factoring: Transform the equation into standard form a + b x + c = 0 Factor the quadratic expression x2 + 9x + 8 Apply the zero product property by setting each factor of the quadratic expression equal to 0. Solve each resulting equation. Check the values of the variable obtained by substituting each in the equation.  

24. FIND MY ROOTS! Find the roots of each of the following quadratic equations using any method. x ² + 3 x + 2 = 0 s ² – 5 s + 6 = 0 r ² + 2 r – 8 = 0

25. FACTOR ME Solve each equation by extracting roots or by factoring: x ²=81 4x ² – 100 = 0 a ² – 25 = 0 p ² – 2p + 1= 0 a ² + 9a + 18 = 0

26. Solving Quadratic Equations by Completing-the-Square Quarter I, Week 1

27. Identify and complete perfect square trinomial 1 2 Solve a quadratic equation by completing – the – square Learning Outcomes

28. This lesson is about solving quadratic equations by completing the square. The lesson provides you with opportunities to describe quadratic equations and solve these by completing the square. You will be able to find out also how such equations are illustrated in real life. Moreover, you will be given the chance to demonstrate your understanding of the lesson by doing a practical task. Your understanding of this lesson and other previously learned mathematics concepts and principles will facilitate your learning of the wide applications of quadratic equations in real life.

29. Perfect Square Trinomial to Square of a Binomial Express each of the following perfect square trinomials as a square of a binomial. x ²+ 4x + 4 s ² + 10s + 25 x ² + 18x + 81

30. Make It Perfect!!! Determine a number that must be added to make each of the following a perfect square trinomial. x ²+ 2x + ____ t ² + 20t + ____ x ² - 15x + _____

31. Complete Me Find the solutions of each of the following quadratic equations by completing the square. x ²- 2x = 3 t ² + 10t + 9 = 0

32. GROUP ACTIVITY WHAT NAME IS GIVEN TO WORDS THAT ARE FORMED TO IMITATE SOUNDS? To answer, find the solutions and write the letter of each solution set below of the given answer in the boxes below to solve the puzzle. CRITERIA: Cooperation – 5 Accuracy – 10 Presentation – 10 Timeliness - 5

33. GROUP ACTIVITY