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200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 First semester FUN AreaVolumeStatisticsData.

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Presentation on theme: "200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 First semester FUN AreaVolumeStatisticsData."— Presentation transcript:

1 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 First semester FUN AreaVolumeStatisticsData

2 The math department wants to reward students who study by buying them IPADs (I). If an IPAD costs $499 each plus a flat rate of $15 shipping. Write an expression, using I, that can be used to find the total cost of the ipads?

3 $499 per IPAD in addition to the shipping fee will give us the total. 499 I + 15

4 Mrs. Maes is making spaghetti if she needs 4 cups of noodles for every 3 cups of sauce. How many cups of noodles will she need for 12 cups of sauce?

5 You will need 16 cups of noodles Sauce : Sauce 3: 12 Noodles : Noodles 4 : ? 3 times 4 = 12 (sauce) so 4 times 4 = 16 (noodles)

6 Use the double line graph, to solve how far we will travel in 60 minutes? Distance --------l------------------------l------------  0 60 miles Time -------l------------------------l-------------  0 60 min 240 min

7 15 miles in 60 minutes What do you do to 60 minutes to get to 240 minutes? You multiply by 4. With that knowledge, you need a number that is multiplied by 4 to give you 60 minutes. The missing number must be 15.

8 If I wanted to cut up a cake that is ¾ of a pan into 1/8 pieces, how many pieces would I get?

9 6 pieces ¾ divided by 1/8 We must change the division problem into multiplying ¾ by the reciprocal of 1/8. ¾ times 8/1 = 24/4 = 6

10 If x = 100, What is the value of 4x? What is the value of x to the fourth power?

11 4x means four groups of x x + x + x + x 100 + 100 + 100 + 100 400 x to the fourth power means x * x * x* x (100) (100) 100,000,000 or 100 million

12 What is the formula to find the area of a triangle?

13 To find the area of a triangle, one must multiply ½ base (height) Remember to find the h first and then find the base. Do not use a lateral height.

14 Find length B then find the area of the hexagon. Not drawn to scale.

15 ² ² The total area is 12 + 20 = 32 square cm B = 4cm A = l(W) A = 3(4) 12 cm ² A = l(W) A = 4(5) 20 cm ² The total area is 12 + 20 = 32 square cm

16 The area of Mrs. Miller’s BMW picture has an area of 2,400 square feet. List 2 distinct possible dimensions of the picture.

17 Length and width are dimensions. Area of a rectangle = length times width 200(12)= 2400 300(8)= 2400 400(6)=2400 100(24)=2400 50(48)= 2400 etc, etc, etc…..

18 A rectangle has a length of 8.4cm and a width of 11.06cm. What is the area of the rectangle?

19 ESTIMATE FIRST 8 (11) shows the value must be close to 88. A= length times width A= 8.4 (11.06) A= 92.904cm²

20 Find the surface area of the right rectangular prism. SA = 2(lw) + 2(lh) + 2(wh)

21 SA=2(lw) +2(lh) + 2(wh) 2(7*4) + 2( 7*10) + 2( 4*10) 2*28 + 2*70 + 2*40 56 + 140 + 80 276 square centimeters

22 What is the prime factorization of 300 ?

23 300 (3) (100) (3) (10) (10) (3) (2) (5) (2) (5) The prime factorization is 2² × 3 × 5².

24 What is the formula for volume of a right rectangular prism?

25 Volume = Length * width* height

26 Find the volume of the cube.

27 Since this is a cube, we can use the formula V=s 3 V= 55 (55)(55) V= 166,375 cm 3 Remember, volume is always measured in cubic units.

28 Find the Volume of the box.

29 V = l w h V = (4)(7)(5) V= 20(7) V= 140 in 3

30 Area measures __________ and volume measures __________.

31 Area measure covering and volume measures filling.

32 DAILY DOUBLE Find the area and perimeter of the shaded region.

33 Perimeter measures the distance around: 5 + 10 + 3 + 7 + 2 + 3 = 30 cm Area measures the amount of covering the total shape minus the white areas. Total shape10(5)=50cm 2, minus the missing sections (2)(2)= 4 and 2(7)=14. Total area of the shaded region is 32cm².

34 How many snakes are at the zoo?

35 29 snakes Remember each dot represents one snake… count the dots to determine the total number of snakes.

36 Find the mode and the median of the data set.

37 Mode is 6. (most frequent in a data set). Median is 4. (middle data point in an ordered data set)

38 What was the range of the quiz scores?

39 Range is the distance between the extremes. R = 96-40= 56

40 Fin Find the IQR for the quiz scores?

41 Lower Extreme :40 Quartile one: 59 Quartile two: 74 Quartile three: 85 Upper Extreme: 96 IQR= 85-59= 26

42 The weights of seven people are measured and recorded in the table below: Calculate the Mean Absolute Deviation for their weights. 1 60 kg 2 68 kg 3 74 kg 4 78 kg 5 80 kg 6 82 kg 7 90 kg

43 49/7= 7 M.A.D Weight-MeanDifferenceAlways Positive 60-76-1616 68-76-88 74-76-22 78-7622 80-7644 82-7666 90-7911

44 How many more students prefer the Tyrannosaurus to the Stegosaurus?

45 12 is four times larger than 3 4 times as many since

46 Name two similarities and one difference between a bar graph and a histogram.

47

48 Which set of data has more variability and why?

49 The one on the far left is most variable. The graph shows that is spread wider than all the other graphs.

50 If the following students studied for their exam for.5 hours,.25 hours, 3.5 hours, 4.45 hours, 0 hours, 0 hours, 6.25 hours What is the average amount of time that the students studied for their exam?

51 . 5+.25+3.5+4.45+0+0+6.25=14.95 hours 14.95 divided by 7= 2.14 hours


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