(+4)±( 7)= ( 8) (+2)= ( 3) (+6)= (+6)+( 9)= ( 1) x (+9) ( 8) x ( 6) = (+4) ( 2) (+5) ( 5) = (+4) ( 8) + ( 6) = (+6) (+3) = (+8) + ( 6) = (+9) - (±9)

Transcription

1 Block: Date: AWM1O Ch. 4.1 Getting Started Assignment 1. Integers: Remember - subtracting a negative Integer is like adding its opposite - when multiplying or dividing integers: same signs = positive answer (+4)±( 7)= ( 8) (+2)= ( 3) (+6)= (+6)+( 9)= ( 1) x (+9) ( 8) x ( 6) = (+4) ( 2) (+5) ( 5) = (+4) ( 1) = ( 6) x (±2) = ( 8) + ( 6) = (+6) (+3) = (+8) + ( 6) = (+9) - (±9) = (-5) (-9) = ( 9) (+3) = ( 6) (+3) = (±4) x ( 8) = (+3) (+9) = (+3) ± (+1) = ( 7) (±2) = ( 1) x (±6) ( 8) x( 7) = (±9) ( 1) = (±5) + (+4) = (-4) (±2) = (-5) + (+8) = ( 7) - (±7) =

2 1. Order of Operations. Remember BEDMAS -lox(4+-14)= 21x(-45x-14) 45-30x = = O ( )= 28+(9+-49)= ( )x-1= (16-30)+-41= (42 x -34) -1 = = 3 + (-48 x 37) = = = (32x-48)x-42= (48-3) x43x21 (-9x-9)x-16

3 32) 32) Name: Block: Date: AWM 10 Ch. 4.1A Temperature - Celsius Notes Another quantity that we measure is Just like length, surface area and volume, we can measure temperature in different units. The US uses the Fahrenheit scale ( F) of the imperial system, while Canada uses the Celsius scale ( C) of the SI. Water freezes at or and boils at 100 C or 2 12 F. Since water freezes at 0 C and 32 F, the relationship between the two temperature systems can be calculated with the following formulas, where C represents degrees Celsius and F represents degrees Fahrenheit. Changing F to OC: C=(F 32) - 9 Ex. 1) While visiting Florida, you heard a local person say that it had been very cold overnight, as it was only 42. At first, you thought this was not cold, but then you realized the person meant degrees Fahrenheit. What was the temperature in degrees Celsius? C = 5 (F Write down the formula 9 C 5 (42 Put the number for F in the formula 9 C = 5 (10) Brackets first: C = Then multiplication & division 9 C = 5.6 C Round to 1 decimal place and include the units! The temperature is about 5.6 C (which would be very cold in Florida.) Ex. 2) Mrs. Moore went to Disneyland with her family. The day they arrived it was 114 F. It was record breaking hot. What would that temperature convert to in C?

4 32) ( 47.8 C) Temperature Ranges: Ex. 3) Chinook winds are known to cause great changes in temperature over a short period of time. The most extreme temperature change in a 24-hour period occurred in Loma, Montana, on January 15, The temperature rose from 54 F to 49 F. a. What were the minimum and maximum temperatures in degrees Celsius? C 5 (F Write down the formula 9 Starting temp: Final Temp: B) What was the change in temperature in degrees Celsius? Temp. change = Temp. change 9.4 C Temp. change 9.4 C C 57.2 C The temperature increased by 57.2 C. Two negatives = a positive!

5 Name: Block: Date: AWM1O Ch. 41A Assignment Assignment 1. Convert the following temperatures to degrees Celsius: a) 20 F d) 2 F b) 80 F e) 0 F c)375 F 0 2 F 2. Some of the tiles on the outside of a space 3. When the human body reaches a shuttle are able to withstand temperatures of temperature of 41 F, it is said to be in a 2300 F. What is this in degrees Celsius? state of medical emergency. What is this temperature in degrees Celsius? 4. When Harry mixes different materials to pave a road, he knows they must be kept at the following temperatures in degrees Fahrenheit. Calculate the temperatures in degrees Celsius. a) Bituminous material must be between b) Water solution must be between 65 F 200 F and 260 F. and 100 F.

6 Nm P Block: Date: AWM1O Ch. 4.1B - Temperature (Fahrenheit) Notes When you have the temperature in C and want to know the temperature in you use this formula: F=2C Changing OC to F: Ex. 1) You were paving a road with heated tar during a hot summer day. You noted that the external temperature of the tar was 48 C. What was this in degrees Fahrenheit? F = 2C ) Write out the equation. 5 F =2 (48) ) Replace the C with the temperature in C. 5 F=86,4+32 3) Do multiplication / division: 9 X 48 5 F= C 4) Do addition: + 32 Temperature Ranges: Ex. 2) Chinook winds are known to cause great changes in temperature over a short period of time. The most extreme temperature change in a 24-hour period occurred in Loma, Montana, on January 15, The temperature rose from 47.8 C to 9.4 C. b) What were the minimum and maximum temperatures in degrees Celsius? F=2C 32 5 Starting temp: F=2(-47.8) Multiplication & Division Pick the right formula. What you want is in front. Final Temp: F =2 (9.4) Addition last a) What was the change in temperature in degrees Fahrenheit? Temp. change = final temp starting temp Temp. change 49 F ( 54 F) Temp. change 49 F + 54 F = 103 F The temperature increased by 103 F. Two negatives

7 mp Block: Date: AWM1O h. 4.1B Assignment Assignment 1. Convert the following temperatures to degrees Fahrenheit: a) 35 C d) 21 C b) 8 C e) 40 C c) 165 C 0202 C 2. In 1992, the temperature in Pincher Creek, Alberta, rose from 19 C to 22 C in just one hour due to a chinook wind. What were these temperatures in degrees Fahrenheit? 3. On May 26, 1991, Mount Logan, YT, recorded the coldest temperature outside of Antarctica at 41.1 C. What is this temperature in degrees Fahrenheit? 4. Which is hotter: a blowtorch flame at 1300 C or a candle flame at 1830 F? By how much is one flame hotter than the other in each scale?

8 m p Block: Date: AWM1O Ch Weight in the Imperial System Notes Another important measurement to be able to work with is weight. In the imperial system there are 3 major units of measurement: ton (tn), pound (ib), and ounce (oz) On the formula sheet: 1 kilogram (kg) = 2.2 pounds (ibs) Others to know: 1 ton (tn) = 2000 pounds (ib) 1 pound (ib) 16 ounces (oz) Ex. 1) You need 1 pound 2 ounces of Gruyère cheese, 12 ounces of cheddar cheese, and 11 ounces of Swiss cheese for a fondue recipe. How many pounds of cheese do you need in all? ipound 2 ounces = 16 ounces + 2ounces = 18 ounces Convert to oz. 18 ounces +12 ounces Add the amounts +11 ounces 41 ounces 41 ouncesx 1 pound 4J 22pounds9ounces l6ounces You need 2 lbs 9 oz of cheese for the recipe. Ex. 2) The cab of your semi-trailer truck weighs 8.7 tons and the trailer weighs 6.4 tons. If the loaded gross weight of the truck is 21.3 tons, what is the weight ofthe load? a) in tons? b) in pounds?

9 Ex. 3) A 12-ounce can of vegetables costs $1.49. A 1 lb 2-oz can of the same vegetables costs $2.19. Which is the better buy? Ex. 4) Valerie bought 4 pounds 6 ounces of steak for dinner at $2.74/lb. After removing the excess fat, she had only 4 pounds of meat. What was her true cost per pound?

10 Name: Block: Date: AWM1O Ch. 4.2 Weight in the Imperial System Assignment 1. Calculate the conversions: a. 24oz. = lb d. 61b.2oz = oz. b lb. = tn. e. 4.54tn. = lb. c. 54oz. = f. 654oz. =_lb. 2. What is the total weight, (in pounds and ounces), of six books on a shelf if they weigh 12 oz., 1 lb. 7 oz., 1 lb. 2 oz., 15 oz., 9 oz. and 1 lb. 3 oz.? 3. A bakery uses a recipe for oatmeal cookies that calls for 1 lb. 4 oz. of flour to make 9 dozen cookies. How many ounces of flour are needed to make 3 dozen cookies? (Hint. Set up a proportion). 4. Kris needs to transport 5 slabs of concrete to an apartment work site. If each slab weighs 46 pounds, Kris weighs 195 pounds and the truck weighs 1.5 tons, what is the total weight of the loaded truck in pounds?

11 5. Harinder is concerned about the weight that paint might add to a delicate structure he built. He estimates that he needs 1.5 gal. of paint and that the structure can withstand 15 lb. of weight. The weight of a particular paint is 9 lb./gal. When it dries, the weight is only 5.4 lb./gal. Can Harinder paint his structure without having it collapse? 6. U-pick organic blueberries sell for $20.00 for a 12-pound box. a) How much would 1 pound cost? b) How much would 12 ounces cost? 7. What is the true cost per pound of a 10-pound box of oranges if the original price of the box was $12.99 and ¼ of them had to be thrown away because they were mouldy?

12 Nm e: Block: Date: AWM1O Ch. 4.3 Imperial SI Weight Conversions Notes The SI unit for weight is the kilogram (kg) but sometimes other units can be used too. It is important to be able to convert between the different SI units, but also to be able to convert between the two systems (SI and Imperial). On the formula sheet: 1 kilogram (kg) = 2.2 pounds (ibs) Others to know: 1000 grams (g) 1 kilogram (kg) 1000 milligrams (mg) = 1 gram 1 tonne (t) = 1000 kilograms Ex. 1) A recipe for cornbread calls for 120 g of flour, 170 g of cornmeal, and 50 g of sugar. If you double the recipe, what is the total weight of the dry ingredients in kilograms? Ex. 2) You are baking apple pies. According to the recipe, you need 6 pounds of apples. The bag of apples you bought only shows the weight in kilograms. How many kilograms of apples do you need? Ex. 3) The cost of bananas is $0.49/lb at one store, but you see an advertisement for bananas on sale at another store for $1.05/kg. Which is the better buy?

13 b)2.8kg g c)125g= kg Name: Block: Date: AWM1O Ch. 4.3 Assignment Assignment 1. Convert the following weights: a)2.5t= kg d)2.4g kg e)lt= lb f)3.6tn= kg 2. How many tons are in 1 tonne? 3. What is the total weight in grams of 3 packages of nuts weighing 1.2 kg, 0.75 kg, and 1.5 kg?

14 4. Bob weighs 78 kg and his dog weighs 18 kg. If his truck weighs 1.9 t and there are 5 boxes of books each weighing 9.8 kg in the truck, what is the total weight of the truck, including Bob, his dog, and the books? 5. Karen is making a batch ofpotato soup. She needs 8 potatoes, and each potato weighs about 375 g. How many pounds ofpotatoes does she need? 6. If a 10-lb bag of grass seed costs $75.45, how much does the seed cost per kilogram? 7. How many quarter-pound (before cooking) hamburgers can you make from 1.9 kg of ground beef?

15 Name: Block: Date: AWM1O Ch. 44 More Conversions Notes Sometimes we need to convert a unit of volume into a unit of weight (or the other way around). In cases like this, we need to make a conversion factor specific to the example (numbers to do this will be given in the questions). Some more conversions that might help with your homework: I lb zø.45 kg 1 oz28.3 g 1tnO.9t Ex. 1) Flow many bushels of flax seed are there in 2.4 tonnes, if the conversion factor is bushels/tonne? Ex. 2) You are making chicken kebabs for 14 people. The recipe suggests about 7 oz of chicken per person. At the grocery store, the weight of chicken is labelled in kilograms. How much chicken do you need to buy?

16 N m P: Block: Date: AWM1O Ch. 4.4 Assignment Assignment 1. If 1 bushel is approximately 2220 cubic inches, approximately how many bushels of grain are there in a bin that is 8 feet by 8 feet by 4 feet? (remember: Volume = 1 x w x h) 2. A truck has a maximum load limit of 5000 kg. Can it safely carry 230 bushels of canola, if the conversion factor is bushels/tonne? 3. How many kilograms are in 1 ton?

17 4. A sign posted in an elevator says Maximum capacity 1400 lb. If the average weight of an adult is 80 kg, how many average-weight adults can the elevator carry? 5. Note that 1000 cubic centimetres equal 1 litre. How many millilitres are in a box that is 10 cm by 5 cm by 3 cm? 6. A hectare (ha) is an area measure of square metres. How many hectares are there in a field that is 620 m by 380 m?

18 Name: Block: Date: AWM1O Ch. 4 Review Assignment PART A: TEMPERATURE (show all work) To convert celsius to fahrenheit use the fonnula: F 9 C To convert fahrenheit to celsius use the formula: (F The melting point of Ice Is 32 F. a) Draw an arrow at 32 F. on the thermometer at the right. b) What metric temperature equals 32 F.? c) Use metric units to write these three temperatures at which It would snow. Units are F (imperial units) Units are C (metric units) i1o jJ : = d) Use imperial units to write a positive and a negative temperature at which it would snow M= Sj. 2. Express each temperature in degrees Fahrenheit, to the nearest tenth of a degree if necessary. a) -2 C b) 0 C c) 21 C 3. Emily is the manager of an arena. She keeps the temperature of the ice at 16 F for hockey and 22 F for figure skating and 14 F for curling. Express each temperature in degrees Celsius, to the nearest degree. a) for hockey b) for figure skating c) for curling 4. The temperature on the moon can change from -153 C at night to 107 C during the day. What is the temperature difference in degrees Fahrenheit?

19 PART B: UNIT CONVERSIONS (show all work) 5. Express each capacity in the units given: a) 1.5 qt. fi. oz. (US) c) 1/2 qt. L b) 9 gal. = qt. d) 2004 ml = L 6. Complete. If necessary, round to two decimal places. a)afishpond,6.5kl b) ajar of mandarine oranges, 540 ml L L c) a bottle of baby oil, 592 ml fi oz (US) 7. Compare. Write>, <or = to make each statement true. a)lqt.q1l b)5ml5floz c)3galq3l d)lqt.qlgal 8. Autumn works for a swimming pool company. To determine the amount of chlorine needed for a pool, she needs to calculate the capacity in gallons. A pool has a capacity What is the capacity in gallons? of L. 9. Express each mass to the nearest tenth of a unit. a) a large box b) a container of cereal, 700g.kg of curry powder, 1.25 ozg c) a capybara, from South America, 75 lb kg d) a slice of bread, 25 gmg e) an empty 747 jet, kg t 10. Emma, who is training for a race, read the following on a soup label: in a 250 ml serving, there are 600 mg potassium and 23 g carbohydrates. a) How many grams of potassium are in 250 ml? b) How many milligrams of carbohydrates are in 250 ml? 11. The mass of a penny is 4.54 g. How many ounces is this?

20 Block: Ditp AWM1O Ch. 4 Practice Test Practice Test (36 marks) 1. The average temperature in the city of Regina is -28 C. What is the equivalent temperature in degrees Fahrenheit? 2. On March15th 2009 the temperature outside changed from 2.0 C to 19.4 C. What was the change in temperature? 3. The average temperature in Hawaii in December is 8 1 F. How warm is that in Celsius? 4. You need to carry 45 kilograms of bark mulch from your driveway to your back yard to put on your flower garden. If you can carry 10 pounds at a time, how many trips will you need to make? 5. Which metric unit (SI) would be the best to represent the weight of a calculator? 6. Fill in the missing pieces in the chart: Hecto Centi 1/ Milli Kilo Deca Deci

21 7. You are carrying your backpack and also your friends backpack. You don t have much homework so your backpack weighs 12 pounds 11 ounces, but your friends backpack weighs 38 pounds 9 ounces. How much do the two backpacks weigh in total in pounds and ounces? (Remember l6oz = 1 ib) 8. You buy 5 pounds 11 ounces of strawberries at $2.49/lb. What is the cost of the berries? 9. You and some friends go to the store and pick out candy to buy. If the bags you filled with candy weigh 356 g, 594 g, 216 g and 687 g, how many kilograms of candy do you have? Part B: Short Answer: Show all ofyour work including the formula you use! 1. Convert the following temperatures to degrees Celsius. Round your answers to the nearest tenth of a degree. (2 marks each) a. 2O0F b. 600F 2. Convert the following temperatures to degrees Fahrenheit. Round your answers to the nearest tenth of a degree. (2 marks each) a. 35 C b. -8 C

22 3. Convert the following units into the units asked for. Use the conversions shown below and the ones on your data booklet to help you. Round your answer to one decimal place. (2 marks each) 16 ounces (oz) = 1 pounds (ib) 1 ton (tn) = 2000 pounds (ib) 1 tonne (t) = 1000 kilograms (kg) a. 58 pounds to kilograms c oz to tn b pounds to grams d. 16kg to lbs Part C: Extended Answer - Show all ofyour work! Include units! 4. It is estimated that recycling 1 ton of paper saves about 17 trees. About how many trees are saved if 8254 pounds ofpaper are recycled? (3 marks) 5. A 20-oz jar of jam costs $4.29, a 28-oz jar costs $5.69, and a 2.4-lb jar costs $7.95. Which is the best buy? (Show work to back up your answer!) (4 marks) 6. How many hectares are in a field that measures 4 km by 1.5 krn? (note: 10, 000 m2 hectare (ha)) (4 marks) = 1