MATH-6-Q2-WEEK-7-Shared-to-DTC-by-Maam-Helen-D.-Canono.pptx

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1. Objectives: * Describe the set of Integers (M6NS-IIg-151) *Identify real-life situations that make use of integers (MGNS-IIg-150)

2. WHY WE COOK THE FOOD WE EAT   We cook our food for three reasons-to make food look more appetizing, to soften hard and tough foods and to kill any microbe that may happen to be in the food. There are many ways of preparing food. Food can be fried, boiled, broiled, roasted, baked, steamed, stewed or sauteed. They can be well-cooked or half-cooked. It is easier to digest food that is well-cooked. But there are foods that are easier to digest when half-cooked than when well-cooked. Meat and liver for example, are easier to digest when half-cooked. But certainly, they taste better when well-cooked. Many vegetables are also easier to digest when well-cooked, but some are eaten raw. Lettuce is an example of a vegetable which is eaten raw.

3.   REVIEW: Compare the following quantities by writing <or >. P2500.00 pesos savings ___ P1240.00 pesos savings. ½ meter of cloth_____ 2 meters of clothes. Arrange the numbers according to values. Start from the one that is closest to zero. 2, ¾, 1, 0.5, 7 2. ½, 3, 6, 2/5, 0.75

4. A. Teacher does the following actions and volunteers do the opposite actions.   a) walk forward b) sit down c) laugh d) look to the ceiling e) frown

5. B. Teacher gives the following words, and the class gives the antonyms.   a) love b) good c) clean d) high e) happiness

6. If words and actions have opposites, numbers also have opposites. NUMBER LINE

7. The set of integers are the set of numbers consisting of zero (0), the numbers to the right of zero (positive integers), and the numbers to the right of zero (negative integers). A positive integer may be written with or without the plus sign and a negative integer with minus sign. This is why integers are also called signed numbers . Zero (0) is not written with any sign because it is neutral, meaning, it is neither positive nor negative.

8. Name an integer for each.  1. 5 units right of 6 2. 8 units left of -1 3. 6 units right of -2 4. 10 units left of 4 5. 20 ft. below sea level Let's Try

9. PAIR-SHARE Represent the following with integers. 1. A 30 degrees drop in temperature. 2. A P500 deposit into a bank account. 3. A weight loss of 5 kilograms. 4. 5 points given to positive behavior 5. 4 calories burned after an exercise.

10. SEAT WORK Write the integers for each. 1. withdrew P2500 2. 12 steps forward 3. gained 7 kilos 4. 6 floors up 5. C below C  

11. Nuggets of Thought How can we describe the set of integers using a number line?

12. ASSESSMENT Describe the following set of integers. Write positive or negative integers. Moving 5 steps forward Going 3 km upstream Going down 3 km downstream Losing weight of 3 kg. Depositing 1000 pesos

13. ASSIGNMENT Give the opposite of the following: 5 -75 -10 90 5. 60

14. Objectives: *Comparing Integers with Other Numbers Such as Whole Numbers, Fractions and Decimals   *Comparing and Arranging Integers from Least to Greatest and Vice Versa

15. WHY WE COOK THE FOOD WE EAT   We cook our food for three reasons-to make food look more appetizing, to soften hard and tough foods and to kill any microbe that may happen to be in the food. There are many ways of preparing food. Food can be fried, boiled, broiled, roasted, baked, steamed, stewed or sauteed. They can be well-cooked or half-cooked. It is easier to digest food that is well-cooked. But there are foods that are easier to digest when half-cooked than when well-cooked. Meat and liver for example, are easier to digest when half-cooked. But certainly, they taste better when well-cooked. Many vegetables are also easier to digest when well-cooked, but some are eaten raw. Lettuce is an example of a vegetable which is eaten raw.

16.   REVIEW: Illustrate the following on a number line.   1. The set of integers less than or equal to -3 but greater than -20. 2. The set of integers less than -1 but greater than -8. 3. The set of integers greater than -6 but less than 0. 4. The set of integers less than 8 but greater than 2. 5. The set of integers greater than -7 but less than 7.

17. USING THE NUMBER LINE   Answer the following questions: 1. What are the numbers to the right of zero? Are they greater than zero? 2. What are the numbers to the left of zero? Are they less than zero? 3. Can we say that 10 is greater than -10?

18. In comparing integers, we use the following symbols: >, <, =

19. * Zero is greater than all negative integers but smaller than all positive integers. * All positive integers are greater than all negative integers; all negative integers are less than all positive integers. * When comparing 2 integers with the same signs, that one that is farther to the right on the number line is the greater integer.

20. On a number line, the number located to the right is greater than the number to its left. Consider the following examples: 1. Zero is located to the left of positive integers. Therefore, zero is smaller than all positive integers. Examples: 0 < 1 0 < 3 0 < 5

21. 2. Zero is located to the right of negative numbers. Therefore, zero is greater than all negative integers. Examples: 0 > -1 0 > -3 0 > -5 3. All positive integers are located to the right of negative numbers. Therefore, all positive numbers are greater than all negative integers. Examples: 1 > -1 1> -3 1 > -5

22. 4. The integer becomes smaller as you move to the left and becomes bigger as you move to the right. Examples: 0 < 3 0 > -2 -7 < 3 8 > 7

23. Number Line   0.5

24. Write true if the statement is correct and false if not. ____1. > 2 ____2. 8 < -12 ____3. -3 > -5 ____4. 0.5 > 0 ____5. -14 > -9   Let's Try

25. PAIR-SHARE Arrange the following integers from the least to the greatest and greatest to the least. ) 2, -6, - 8, 5, -1, 7, -5 ) 25, -20, 18, 15, -15 ) 40, 41, -20, 25, 30 4.) 40, 50, -40, -50, 10 5.) 0, -4, 4, -2, 7, 10

26. Nuggets of Thought How will you compare integers? How will you arrange integers from the least to the greatest or greatest to the least?

27. ASSESSMENT Arrange the following integers from the least to the greatest. -3, -8, 0, -5, 9, 6 -2, 5. 7, -8, -1, -5 -11, -5, 8, -1, -5 15, -9, 12, -17, -8, 3 13, 0, -13, 17, -8, 3

28. ASSIGNMENT Write > or < to make ach statement true. -5 ____ 0 9____ -8 -7 ____ 7 55 ____ -75 5. -32 ____ -24

29. Objectives: *Performing Addition of Integers   *Solving Routine and Non-routine Problems Involving Addition of Integers

30. WHY WE COOK THE FOOD WE EAT   We cook our food for three reasons-to make food look more appetizing, to soften hard and tough foods and to kill any microbe that may happen to be in the food. There are many ways of preparing food. Food can be fried, boiled, broiled, roasted, baked, steamed, stewed or sauteed. They can be well-cooked or half-cooked. It is easier to digest food that is well-cooked. But there are foods that are easier to digest when half-cooked than when well-cooked. Meat and liver for example, are easier to digest when half-cooked. But certainly, they taste better when well-cooked. Many vegetables are also easier to digest when well-cooked, but some are eaten raw. Lettuce is an example of a vegetable which is eaten raw.

31.   REVIEW: Compare the following integers by writing the symbol > or on the line. +13 _____ +8 -6 _____ -2 +7 _____ -15 -1 _____ +9 +4 _____ - 4

32. PROBLEM OPENER   Mrs. Reyes bought fruits that cost P 700.00 from a wholesaler and sold them in her fruits stand. On Monday, her sales are P800.00 and on Tuesday, P500.00. But on Wednesday, she loses P400.00 because some of the fruits are already rotten. Considering the sales of fruits for the three days, did Mrs. Reyes gain or lose profit?

33. Considering the sales of Mrs. Reyes on three days, represent the gain and loss using integers. To determine the total sales means to combine the gains and loss. How are we going to combine the gain and loss? What is the total sale of fruits of Mrs. Reyes? How can we determine if Mrs. Reyes gained or lost money from selling her fruits?

34. Determine how to combine integers by studying the given examples below: ( +4 ) + ( +3)= ( +7) (-4) + ( -3)= ( -7)

35. To add integers having the same sign, add the integers then affix the common sign.   To add integers having different sign, subtract their distances from zero then affix the sign of the addend with the longer distance away from zero.   Examples:   1. 5 + 8 = 13 2. (-12) + (-15) = (-27) 3. 56 + (-12) = 44 4. (-63) + 49 = (-14) 5. (-47) + (-35) = (-82)

36. PAIR-SHARE Answer the following: 1. ( -21) + (+5) (+47) + (+16) (-72) + (- 38) (-10) + (+87) 5. (+15) + (-56) + (-9)

37. SEAT WORK Use the 4-Step Plan in solving the problem. Mt. Everest, the highest elevation in Asia, is 29 029 feet above sea level. The dead sea, the lowest elevation, is 1 412 feet below sea level. What is the sum of these two elevations?

38. Nuggets of Thought How do we add integers with the same signs? How do we add integers with different signs?

39. ASSESSMENT Add the following integers. (-25) + (+17) (+73) + (-29) (-89) + ( -103) (+ 194) + (+57) 5. (-217) + ( +104)

40. ASSIGNMENT Solve the problem. Kris gets on the elevator on the eleventh floor. The elevator goes down two floors and stops. It then continues to go down four more floors where Kris got off. In what floor did she get off the elevator?