MATH 6 PPT Q3 W6 - Routine And Non-Routine Problems Involving Different Types Of Numerical Expressions And Equations (1).pptx
- 1. Quarter 3 Week 6D1 MATHEMATICS 60.Solves routine and non-routine problems involving different types of numerical expressions and equations such as 7+ 9 =___ + 6. (M6AL-IIIf-19) 61.Creates routine and non-routine problems involving numerical expressions and equations. (M6AL-IIIf-20)
- 2. Drill: Determine what number should be in place of the question mark to make the mathematical statement correct. 1.? + 7=11 2.96/? = 6 3.2 x (15-?) = 20 4.5 x (? + 2) =15 5.? + 3 = 21 - ?
- 3. Review: Translate the ff. sentences to algebraic equations 1.Twice a number is equal to six. 2.If three times a number is decreased by two, the answer is seven. 3.The ratio of a number and ten is two. 4.Half of the sum of a number and three is six 5.The difference of seven and a number is equal to six times the number.
- 4. Establishing a purpose Impress your pupils by being able to guess the number they are thinking of. Ask a pupil to think of any number from 1-10. Have it undergo a series of operations and have the pupil update the answer in his mind in every operation done.
- 5. a. Presenting Example: Ige is twice as old as his brother Elmo. The sum of their ages is 21. How old are they now? Present the ways in solving equations in the form ax + b = c. use 2x + 3 = 7 as an example Guess and test Cover Up Work Backward Balancing Method
- 6. Define the ff. term: Solution- a number that makes an algebraic equation true or correct. Introduce the 4 basic rules for solving equations. 1.Addition Property of Equality: if the same quantity is added to both sides of an equation, the resulting equation is equivalent to the original equation.
- 7. 2.Subtraction Property of Equality: If the same quantity is subtracted from both sides, the resulting equation is equivalent to the original. 3.Multiplication Property of Equality: If both sides of an equation are multiplied by the same (nonzero) quantity, the resulting equation is equivalent to the original equation.
- 8. 4. Division Property of Equality: If both sides of an equation are divided by the same (nonzero) quantity, the resulting equation is equivalent to the original equation.
- 9. Solve using different methods. 1.N + 5 = -5 2.5y – 2 = 18 3.C + 18 = 29 4.-32 = 15 + d 5. 3f = -12
- 10. Solve using different methods.(key to correction) 1.N + 5 = -5 Ans.:N=-10 2.5y – 2 = 18 Ans.:y=4 3.C + 18 = 29 Ans.:C=11 4.-32 = 15 + d Ans: d=-47 5. 3f = -12 Ans: f= -4
- 11. Practicing New Skills No. 2 Study another example: Find the value of – 4 =10 -3 ( – 4) = (10) (-3) multiplying both sides by -3. (MPE) 2n + 12 = -30 2n + 12 – 12 = -30 -12 Subtract 12 from both sides (SPE) 2n= -42 = Divide both sides by 2 (DPE)
- 12. Group Activity: B. Find the solution to each equation. 6. 9x + 3 = 48 7. 3b + 14 = 29 8. 4n – 10 = 38
- 13. Group Activity: B. Find the solution to each equation. Key to Correction 6. 9x + 3 = 48 Answer: X= 5 7. 3b + 14 = 29 Answer: b= 5 8. 4n – 10 = 38 Answer: n=12
- 14. F. Developing Mastery Group Activity: Assigned the given examples on page 239-246 of Mathlete Txbk. Let the leaders of the group explain the assigned problems to them.
- 15. G. Finding practical application Give the scenarios and tell the pupils to follow this flow in solving the equation: (See TG on page 96) a. What is asked? b. What are the given facts? c. What equation shall we do to solve the problem? What is the solution to the equation? 1. Mang ambo is an egg dealer. He needs to sell 1000 dozens of eggs every 2 weeks for him to meet the quota requirement. On the first week., he sold 453 dozens. How many more dpzens of eggs does Mang Ambo need to sell to meet the quota? 2. The price of a 32” LED television iiis P15,500.00 less than twice the price of an old model. If it cost P29,078.00 to buy a new 32”LED television, what is the price of the old model
- 16. TANDAAN: Ang pagkakaisa ng mga mamamayan sa isang bansa ay mahalaga tungo sa kaunlaran. Magkakaiba man ang kanilang salita, estado sa buhay at pananaw ito ay nagsisilbing bigkis. Mahalagang pagyamanin ito sa pamamagitan ng pakikilahok. Bilang batang marunong makiisa, ito ay maaaring umpisahan sa ating sariling paaralan kung saan naipakikita natin ang pakikiisa sa pamamagitan ng pagsali sa mga Gawain. .
- 17. 1. Mang ambo is an egg dealer. He needs to sell 1000 dozens of eggs every 2 weeks for him to meet the quota requirement. On the first week., he sold 453 dozens. How many more dozens of eggs does Mang Ambo need to sell to meet the quota? a. What is asked? b. What are the given facts? c. What equation shall we do to solve the problem? What is the solution to the equation?
- 18. 2. The price of a 32” LED television is P15,500.00 less than twice the price of an old model. If it cost P29,078.00 to buy a new 32”LED television, what is the price of the old model? a.What is asked? b.What are the given facts? c. What equation shall we do to solve the problem? What is the solution to the equation?
- 19. H. Making Generalizations What are the four basic rules in solving equations? An algebraic expression is any combination of numbers constant and variables with operations such as addition, subtraction, multiplication or division. To evaluate an expression means to find a number solution to the expression, given the value of the variables. To simplify an expression means to make it simple or shorter by combining like terms in the expressions.
- 20. Evaluate:Write and solve the equation for each model. Use to represent any variable, to represent 1, and to represent -1. 1. = 2 =. 3. X- 10= 22 4. -11 + X + (-48) =25 5. Solve: If twice a number is decreased by 13, the result is 9. What is the number? 3
- 21. . Additional Activities. Answer Math Challenge on page 248 1. The difference between two-thirds of a number and one-sixth of the same number is seventy-five. What is the number? 2. The average of 6 numbers is 15. The average decresed by 1 when the 7th number is added. What is the value of the 7th number? 3. Mary is 5 years older than her younger sister. If Mary will be n years after 7 years, find their total age in terms of n.
- 22. VI.REFLECTION: Do you know ? Try to think Using styro saves you time? Think again. It takes 500 years for your garbage to dissolve, but you only need 5 minutes to wash the dishes. What other routine do you have that is becoming an unwise practice over time?
- 23. 3. Pinunit ni Nathaan ang poster tungkol sa Earthquake Drill na isasagawa pa lamang sa kanilang barangay 4. Tumulong sa pagkalap ng mga donasyon ang mga batang nasa ikaanim na baiting upang matulungan ang mga biktima ng nakaraang bagyo. 5. Ang mga tao sa aming barangay ay sabay sabay nag patay ng ilaw bilang pakikiisa sa Earth Hour.
- 24. Thank you !
- 25. A. Simplify each of equation by combining like terms. Follow the order of operation. 1. 2x + 9x – 3 – 5x = 6x – 3 2. 5n – 3n + 6 – 3 = 3. 9y + 20 – 5 + 6 = 4. 12a – 2a + 5 = 5. 12y + 8 – 2y + 6 = 2n + 3 0=0 9y + 21 10a + 5 10y + 14
- 26. Solve for the variable in each equation. 1. 3x + 8 = 32 x = _____ 2. 5n – 28 = 22 n = _____ 3. 2c – 16 = 26 c = _____ 4. 5a - 3a = 9 + 3 a = _____ 5. 9p + 3p = 43 – 31p p = _____ 3 10 21 6 1
- 27. Find for the solution of each equation. 1. 2b + 10 =12 2. 8 + 5x = 53 3. 6c – 42 = 12 4. 3n = 60 + n 5. 7a + 5 = 54 B = 1 x = 9 c = 9 n = 30 a = 7