MEASUREMENT Work Journal

MEASUREMENT Work Journal QLD191MMT03A Certificate I in Core Skills for Employment & Training - Numeracy Student Name:. Start Date: End Date: Teacher: 1

ASSESSMENT PROFILE COVER SHEET Student s Name: Assessment Date: / / Assessment Instrument: Work Journal, online & e-course activities. Certificate Code and Name: 39288QLD Certificate I in Core Skills for Employment and Training- Numeracy Module Name: Measurement (Work Journal 2 of 5) Unit of Competency Assessed: QLD191MMT03A Use standard measuring instruments in routine contexts. Elements of Competency: 1.1 Use standard units to measure length, mass, capacity and temperature using everyday or routine measuring instruments. 1.2 Identify equivalent forms of standard units to compare and order measurements. 1.3 Convert between metric units by applying a knowledge of prefixes. 2.1 Use rates in familiar or routine situations 2.2 Record and explain the mathematical and problem solving process and results using a combination of written mathematical language and informal oral language. Task: You must accurately complete your work journal, online and e-course activities. Reasonable adjustment: Students may be helped with the literacy and online aspects of this task. Help with literacy can include reading questions for students or clarifying what is required of a task. Help with online activities includes assistance to access resources and providing instructions on how to complete a task. Competency Attained: Yes No Further Evidence Required: Yes No Successful completion of QLD191MMT03A will qualify the student for a statement of attainment. Student to answer questions, by indicating yes or no. - Do you understand what competencies are being tested and why they are being tested? Yes No - Do you understand that you have the right to appeal and the way to do this been explained to you? Yes No - Do you know you can ask for help at any time while completing this assessment? Yes No I agree to undertake assessment in the knowledge that information gathered will only be used for assessment purposes. Student s signature: Date: / / Assessor s signature: Date: / / The candidates knowledge and skills are: Satisfactory Not Satisfactory Feedback: Statement of Competency Competency is achieved when the assessor has gathered sufficient evidence to confidently state that the candidate has successfully demonstrated the underpinning skills, knowledge and standards required of the elements that could be reproduced on site in an industry setting. 2 Brisbane Youth Education & Training Centre 2013 v1.0

This unit is all about measurement. We are learning to: Use measuring instruments such as rulers, tape measures, scales, jugs and thermometers Measure length, mass, capacity and temperature Compare and order our measurements Convert measurements Use rates such as $ per kg Materials you will need: Computer Access to the web Access to a printer Ruler Tape measure Paper to make aeroplanes Equipment for mini athletics Bathroom scales Kitchen scales Measuring jugs Thermometers Laminated length ladder 3

Work Journal icons: Online activity - Access the internet for this activity. Oral language activity When you see this icon call your teacher over to explain how you solved this problem. Assessment When you see this icon you must be able to complete the activity without assistance from the teacher. Print copy If you would like to complete this activity with pen and paper, ask your teacher for a print out. Loading This web activity takes a long time to load. Keep working while you wait. 4 Brisbane Youth Education & Training Centre 2013 v1.0

Keep Track of Your Learning Use the table below to keep track of your progress in this unit. Tick each box when you have completed the activity. We are learning to: Measure length. Compare and order our measurements. Convert between mm, cm, m and km Measure mass. Compare and order our measurements. Convert between g and kg Measure capacity. Compare and order our measurements. Convert between ml and L Measure temperature. Compare and order our measurements. Use rates such as $ per kg and km/hr 5

Let s Get Started! Throughout this unit you will be multiplying and dividing by 10, 100 and 1000. It is important that you can do this so let s do some practice before we start measuring anything. This factsheet shows what happens when you multiply a number by 10,100, and 1000. You can print this out to use later. http://www.bbc.co.uk/skillswise/factsheet/ma10mult-l1-f-multiplying-by-10-100-and-1000 This factsheet shows what happens when you divide a number by 10,100 and 1000. You can print this out to use later. http://www.bbc.co.uk/skillswise/factsheet/ma11divi-l1-f-dividing-by-10-100-and-1000 This number slider allows you to multiply or divide by 10, 100 and 1000 and see what happens to the numbers. https://learningplace.eq.edu.au/cx/resources/items/b2c2b03e-1309-d735-8f0c-378dbfbdabee/1/viewims.jsp 6 Brisbane Youth Education & Training Centre 2013 v1.0

Use your multiplication and division skills to help this poor man cross the river! http://kids.britannica.com/lm/games/gm_5_5/gm_5_5.htm This arcade game will give you all the practice you need! https://learningplace.eq.edu.au/cx/resources/items/bfa1b014-eb06-fd7e-ef56-471e88153b48/1/viewims.jsp 7

Length We can measure length or distance using: millimetres centimetres metres kilometres This table shows each measurement and how it is written. Measurement Millimetres Centimetres Metres Kilometres Abbreviation mm cm m km Watch this video to learn about why we need to be able to measure accurately. http://www.bbc.co.uk/skillswise/topic/length-and-distance Help Jack the builder to measure the objects accurately. Click on the Reading length button. http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/measures/index.htm 8 Brisbane Youth Education & Training Centre 2013 v1.0

Choosing the Right Measurement When you are measuring something, you need to decide what unit of measurement you will use mm, cm, m or km. The maths dictionary shows millimetres, centimetres, metres and kilometres. Use the ruler to measure the pictures. Click on the correct letter of the alphabet on the left hand side of the screen. Complete the activity for 1. millimetres This line is 2. centimetres 1cm long 3. metres 4. kilometres Make sure you click on the arrow button to check your work. http://www.amathsdictionaryforkids.com/dictionary.html Look at the items below and write in the box if you would use mm, cm, m or km to measure it. Object mm, cm, m or km Length of a pencil Length of a bridge Diameter of a coin Height of a door Length of a highway Excellent work. Ask your teacher to check your table. 9

Let s Start Measuring! When measuring, it is important to make sure the zero (0) on the ruler, is lined up with one end of the object you are measuring. Always start at zero! Use the ruler to measure these leaves in mm. Always start at zero! https://learningplace.eq.edu.au/cx/resources/items/2ed0b502-41ca-1940-2842-0b01e455282b/1/viewims.jsp Help the boy across the stepping stones. Measure carefully and don t forget to start at zero! https://learningplace.eq.edu.au/cx/resources/items/11706960-59d0-4e00-7d77-6eab10e8145a/1/viewims.jsp Now it is your turn. You will need: a ruler tape measure First, decide what unit of measurement you will use mm, cm or m. Then, estimate how long you think it will be. This just means have a good guess! Finally, measure it! Don t forget to start at zero! When you write your answers, make sure you write mm, cm or m after it. The first one has been done for you. 10 Brisbane Youth Education & Training Centre 2013 v1.0

Fill in the last two rows with objects of your choice. Object What will I use? mm, cm or m My estimate What it measures Pencil cm 12cm 14cm and 3mm Length of eraser Height of a desk Height of a chair Width of computer Width of my fingernail Height of the door Look at all of your measurements in the table. Circle the longest object. Put a tick next to the shortest object. Now write them in ascending order (shortest to longest). Write the name of the object and its length.,,,,,,,. Excellent work. Ask your teacher to check your table and the order of your objects. 11

Converting Measurements Let s have a little language lesson! Centi Milli Kilo - 100 th part of a unit 1000 th part of a unit 1000 times the unit So; Centimetre 100 th of a metre. There are 100 centimetres in a metre. Millimetre 1000 th of a metre. There are 1000 millimetres in a metre. Kilometre 1000 metres. There are 1000 metres in a kilometre. This picture shows the relationship between mm, cm, m and km. Ask your teacher for a laminated length ladder and keep it near you while you work through the following examples and exercises. https://learningplace.eq.edu.au/cx/resources/file/6ec36fc4-1970-df1d-5deb-6b6428380a34/1/my8_m_sp_lengthladder.pdf 12 Brisbane Youth Education & Training Centre 2013 v1.0

Look at the relationship between mm, cm, m and km. 10mm = 1cm 100cm = 1m 1000m = 1km You must remember those rules. Write them here: 10mm = cm 100cm = m 1000m = km How many mm in 1cm? How many cm in 1m? How many m in 1km? Remember all that work we did on multiplying and dividing by 10, 100 and 1000? We are going to use those skills now. Converting between units is always about multiplying or dividing by 10, 100 or 1 000. (Convert just means change!) Watch the first 5 minutes of this video. It shows you an example of how to convert distance. http://www.khanacademy.org/math/arithmetic/rates-and-ratios/unit_conversion/v/unit-conversion 13

Example 1 Converting cm to mm A piece of wood is 6 cm long. How many mm is that? Think: 1cm = 10mm We are converting cm to mm. The number is going to look bigger. So we have to multiply. We need to multiply by 10. x 10 1cm = 10mm x 10 6cm = _?_mm 6 x 10 = 60 The piece of wood is 60mm long. Now, let s practice. Write down your thinking in each box. Don t forget to write mm with each answer. How many mm in: 3cm = 3 x 10 6cm = 1cm = 15cm = 2.6cm = 13.2cm = Excellent work! Ask your teacher to check your answers. Choose one question and explain how you solved it. 14 Brisbane Youth Education & Training Centre 2013 v1.0

Example 2 Converting mm to cm The length of the nail is 42mm. What is that in cm? Think: 10mm = 1cm We are converting mm to cm. The number is going to look smaller. So we have to divide. We need to divide by 10. 10 10mm = 1cm 10 42mm = _?_ cm 42 10 = 4.2 The piece of wood is 4.2cm long. Write down your thinking in each box. Don t forget to write cm with each answer. How many cm in: 40mm = 40 10 10mm = 100mm = 56 mm = 117mm = 120mm = 15 Excellent work! Ask your teacher to check your answers. Choose one question and explain how you solved it.

Example 3 Converting cm to m Jackie is 178 cm tall. What is that in m? Think: 100cm = 1m We are converting cm to m. The number is going to look smaller. So we have to divide. We need to divide by 100. 100 100cm = 1m 100 178cm = _?_ m 178 100 = 1.78 The piece of wood is 1.78m long. Now, let s practice. Write down your thinking in each box. Don t forget to write m with each answer. How many m in: 300cm = 300 100 600cm = 235cm = 1780cm = 2400cm = 89cm = Deadly! Ask your teacher to check your answers. Choose one question and explain how you solved it. 16 Brisbane Youth Education & Training Centre 2013 v1.0

Example 4 Converting m to cm A garden bed is 3.6m long. How many cm is that? Think: 1m = 100cm We are converting m to cm. The number is going to look bigger. So we have to multiply. We need to multiply by 100. x 100 1m = 100mm x 100 3.6m = _?_cm 3.6 x 100 = 360 The garden bed is 360cm long. Now, let s practice. Write down your thinking in each box. Don t forget to write cm with each answer. How many cm in: 7m = 7 x 100 2m = 5.5m = 7.8m = 26m = 55.3m = 17 Excellent work! Ask your teacher to check your answers. Choose one question and explain how you solved it.

Example 5 Converting km to m This distance between two towns is 4.5km. How many m is that? Think: 1km = 1000m We are converting km to m. The number is going to look bigger. So we have to multiply. We need to multiply by 1000. x 1000 1km = 1000m x 1000 4.5km = _?_m 4.5 x 1000 = 4500 The distance between the two towns is 4500m. Write down your thinking in each box. Don t forget to write m. How many m in: 6km = 6 x 1000 3km = 9.8km = 25km = 34.6km = 0.54km = Awesome! Ask your teacher to check your answers. Choose one question and explain how you solved it. 18 Brisbane Youth Education & Training Centre 2013 v1.0

Example 6 Converting m to km The distance around the oval is 1500m. What is that in km? Think: 1000m = 1km We are converting m to km. The number is going to look smaller. So we have to divide. We need to divide by 1000. 1000 1000m = 1km 1000 1500m = _?_ km 1500 1000 = 1.5 The distance around the oval is 1.5km Write down your thinking in each box. Don t forget to write km. How many km in: 3000m = 3000 1000 5000m = 5200m = 6430m = 12 056m = 970m = Well done! Ask your teacher to check your answers. Choose one question and explain how you solved it. 19

Let s mix it up! Look at the measurements below and convert. Remember: 1. Write the rule you need. For example, 1cm = 10mm 2. Write whether you are multiplying or dividing. 3. Write if you are using 10, 100 or 1000. 4. Write your sum. For example, 6 x 10 x 10 x or 5. Write your answer with the unit of measurement after it. For example, 60mm Convert 6cm to mm: Convert 129cm to mm: Answer= Convert 4320m to km: Answer= Convert 16 900m to km: Answer= Convert 3.2km to m: Answer= Convert 265cm to m: Answer= Convert 5324cm to m: Answer= Convert 16km to m: Answer= Answer= Excellent work! Ask your teacher to check your answers. Choose one question and explain how you solved it. 20 Brisbane Youth Education & Training Centre 2013 v1.0

Paper Aeroplane Throw Let s put those measuring skills to good use. Talk to your teacher before you begin this activity. You will need to plan when would be a good time to do this activity with other people in your class. 1. Everyone needs to make a paper aeroplane. 2. Mark the starting line. 3. One person throws their aeroplane from the starting line. 4. Using a tape measure, measure the distance the aeroplane flew. Don t forget to start at zero! 5. Record the details in the first two columns of the table below. 6. Continue until each person has thrown their aeroplane. Name Distance m and cm Distance m Distance cm Example Max 3m and 42cm 3.42m 342cm 21

Now that you have filled in the first two columns of the table you can use your conversion skills! Fill in the last two columns of the table. Record any sums you need to do in the space below: Whose plane flew the longest distance? Whose plane flew the shortest distance? Write the distances the plane flew in ascending order (shortest to longest).,,,,,,. Well done! Ask your teacher to check your table and answers to your questions. Explain how you converted the measurements in your table. 22 Brisbane Youth Education & Training Centre 2013 v1.0

Mini Athletics This activity allows you to put all those measuring skills to use out on the oval. Discuss this activity with your teacher to plan when and how the class will complete it. The purpose of the activity is not to compete and win, but to measure distances and times. Below is a list of suggested events: Event Equipment required Event Location Long Jump Frisbee throw Vortex throw Measuring tape Frisbees x3 Measuring tape Markers to mark throws x Vortexes x3, Measuring tape Markers to mark throws x6 Beach Volleyball Court Oval Oval 100m sprint Stopwatch Oval 400m run Stopwatch Oval 23

Print a copy of the table to record the results in. Record all your results in metres in the decimal form, for example: 3.1m Student Names Long Jump Frisbee throw Vortex throw 100m sprint 400m sprint 1 2 3 4 5 6 7 8 Once you have completed the mini athletics carnival you can complete the activities below. Choose one set of measurements to work with. For example, you could choose all of the high jump results. Or you may like to choose all of your own results. 24 Brisbane Youth Education & Training Centre 2013 v1.0

Activity 1 Write a heading for the table. Convert your chosen measurements to cm. Data from Mini Athletics in metres Convert to cm Activity 2 Place the data in descending order (longest distance to shortest),,,,,,,. Activity 3 Write the shortest distance. If someone jumped 30cm further, write the new distance. 25

Activity 4 Write the longest distance. If someone jumped 50cm less than that, write the new distance. Ask your teacher to check your work. Explain how you converted the measurements to cm in your table. Explain how you completed Activity 3 and Activity 4. You are amazing! You are so good at measuring length and distances now! Well done. Don t forget to keep track of your learning! Go back and tick Measure length. Use the Mass bookmark to start working again! 26 Brisbane Youth Education & Training Centre 2013 v1.0

Mass Mass is the amount of matter in an object. This is measured in grams and kilograms. So if we say that an item has a mass of 10 kilograms then we mean that it weighs 10 kilograms. Why do we need to learn about mass? Watch this video to find out. http://www.bbc.co.uk/skillswise/topic/weight Grams and Kilograms We use grams to measure lighter things. We use kilograms to measure heavier things. Do you remember the language lesson we had when learning about length? kilo means 1000 times the unit So, kilogram means one thousand grams. Kilogram can be abbreviated to kg or kilo. Gram can be abbreviated to g. 1000g = 1kg 27

Use the abbreviation to write these words: sixty grams eighty-seven kilograms How much is a gram? How much is a kilogram? Three buttons 1 gram A bag of sugar 1 kilogram Which unit of measure would be used for the following items? A tub of margarine A newborn baby Meat that you buy at the butchers Put the following in order from heaviest to lightest. 300g 6kg 15g 89kg 362kg,,,,,, Ask your teacher to check your work. How many grams in a kilogram? How many mm in a cm? How many cm in a m? How many m in a km? 28 Brisbane Youth Education & Training Centre 2013 v1.0

Converting Remember that kilo means 1000 times the unit. How many grams in 1 kilogram? g = 1kg We will use this information when converting (changing) from grams to kilograms or back the other way! Converting kg to g A bunch of bananas weighs 4.5kg. How many g is that? Think: 1kg = 1000g We are converting kg to g. The number is going to look bigger. So we have to multiply. We need to multiply by 1000. x 1000 x 1000 1kg = 1000g 4.5kg = _?_g 4.5 x 1000 = 4500 The bananas weigh 4500g. Now, let s practice. Write down your thinking in each box. Don t forget to write g with each answer. How many g in: 6kg = 6 x 1000 3kg = 9.8kg = 22kg = 34.6kg = 0.54kg = 29

Converting g to kg The baby weighed 3450g. What is that in kg? Think: 1000g = 1kg We are converting g to kg. The number is going to look smaller. So we have to divide. We need to divide by 1000. 1000 1000g = 1kg 1000 3450g = _?_ kg 3450 1000 = 3.45kg The baby weighed 3.45kg Now, let s practice. Write down your thinking in each box. Don t forget to write kg with each answer. How many kg in: 3000g = 3000 1000 5200g = 4213g = 12 030g = 970g = 500g = Ask your teacher to check your work converting g to kg. 31

There are 3 ways to write the mass of an object: grams, kilograms and grams, kilograms with a decimal. Fill in the following table. When filling in the Grams or Kilograms column, write the sum you used. Object Grams Kilograms and grams Kilograms 4076g 4076 1000 = 4kg 76g 4.076kg 6089g 4kg 234g 54.06kg Read this factsheet. Explain the different types of scales to your teacher and give an example of what you might weigh on each of them. http://www.bbc.co.uk/skillswise/factsheet/ma24weig-e3-f-weighing-equipment Play this game to practise reading scales and converting weights http://www.bbc.co.uk/skillswise/game/ma24weig-game-taking-measures-weight Play with this scales reader. http://www.ictgames.com/weight.html 32 Brisbane Youth Education & Training Centre 2013 v1.0

Let s Start Weighing! You will need: Kitchen scales Things from around the room Kitchen scales are good for weighing things less than 5kg. Choose 6 objects from around the room. You may like to group objects together, for example, 5 pencils. Write each object in the table. Estimate how much you think the object will weigh. Weigh the object. Do a sum and convert the weight to kg. Object Estimate Weight in grams Sum Weight in kg List the weights from the table in ascending order (lightest to heaviest),,,,,, That s great! Ask your teacher to check your work. 33

How Much Do You Weigh? You will need: Bathroom scales People who are happy to be weighed Ask people in the room if they are happy to be weighed. Not everyone will want to and that is ok! Write down the names in the table. Don t forget your own name! Estimate how much you think each person will weigh. Weigh each person and record their weights in the table. Do a sum to convert the weight to grams. Thank everyone for helping you! Name Estimate Weight in kg Sum Weight in grams Great work! Now try this quiz. You can print your certificate when you finish. http://www.bbc.co.uk/skillswise/quiz/ma24weig-e3-quiz 34 Brisbane Youth Education & Training Centre 2013 v1.0

http://www.bbc.co.uk/skillswise/quiz/ma24weig-l1-quiz. Well done! Ask your teacher to check your work. Explain how you converted kg to g Don t forget to keep track of your learning! Go back and tick Measure mass. Use the Capacity bookmark to start working again! 35

Capacity Capacity is the amount that a container can hold. For example, we can measure the capacity of a: jug teacup petrol tank Why do we need to learn about capacity? Watch this video to find out. http://www.bbc.co.uk/skillswise/topic/capacity Capacity is measured in millilitres and litres. We use millilitres to measure the capacity of small containers. We use litres to measure the capacity of larger containers. Do you remember the language lesson we had when learning about length? milli means a 1000 th part of the unit So, millilitre means 1000 th of a litre. There are 1000 millilitres in a litre. Millilitre can be abbreviated to ml. Litre can be abbreviated to L. 1000mL = 1L Highlight the best answer for each statement a drinking glass has a capacity of 300L 300mL a fruit juice popper has a capacity of 250L 250ml a kitchen sink has the capacity of 3L 30mL a bath tub has the capacity of 25L 25mL 36 Brisbane Youth Education & Training Centre 2013 v1.0

Capacity is the amount a container can hold. But what is volume? This jug has a capacity of 250 ml. The volume of milk in the jug is 175 ml. Can you see the difference? The capacity is how much the jug can hold. The volume is how much milk is in the jug. You measure capacity by reading from scales, such as the scales on the milk jug above. When you read the scales of a jug you have to read them at eye level. For example. A jug contains 300mL of milk. If you have your eyes at the same level as the milk, like Picture 1, you can read the 300mL on the scale accurately. If you are looking down on the milk, like Picture 2, it appears there is less than 300mL. Read these information sheets. Explain them to your teacher. http://www.bbc.co.uk/skillswise/topic/capacity/resources/e3 Now play the Taking Measures Capacity game. http://www.bbc.co.uk/skillswise/game/ma23capa-game-taking-measures-capacity 37

Converting Measurements You are an expert at converting now! You have converted m to cm, cm to m, m to km and all back again. And you have converted g to kg and back again. So this is going to be easy for you! Remember that milli means 1000 th millilitres in 1 litre? of the unit. How many ml = 1L Converting ml to L The bucket held 4021mL. How many litres is that? Think: 1000mL = 1L We are converting ml to L. The number is going to look smaller. So we have to divide. We need to divide by 1000. 1000 1000 1000mL = 1L 4021mL = _?_ L 4021 1000 = 4.021L The bucket holds 4.021L Write down your thinking in each box. Don t forget to write L How many L in: 3000mL = 5200mL = 12 006mL = 3000 1000 Ask your teacher to check your work. 38 Brisbane Youth Education & Training Centre 2013 v1.0

Converting L to ml A wheelbarrow has a capacity 45L. Convert that to ml. Think: 1L = 1000mL We are converting L to ml. The number is going to look bigger. So we have to multiply. We need to multiply by 1000. x 1000 x 1000 1L = 1000mL 45L = _?_ml 45 x 1000 = 45 000 The wheelbarrow has a capacity of 45 000mL. Now, let s practice. Write down your thinking in each box. Don t forget to write ml with each answer. How many ml in: 6L = 8.9L = 25L = 6 x 1000 34.6L = 0.7L = 0.56L = Print this worksheet. It has questions about converting and comparing length, mass and capacity. https://learningplace.eq.edu.au/cx/resources/file/bb035dd2-e176-fd9c-6500-42c743f4502a/1/my5_m_lmava_sh_order.pdf Excellent! Ask your teacher to check your work. Choose a question and explain how you solved it. 39

Let s Measure Capacity You will need: 5 containers of different sizes, eg cup, bowl Various measuring jugs with different scales, e.g. measuring cup, IL jug. Water Label your containers 1-5. Fill container 1 with water. Pour the contents into the most appropriate measuring jug you have. Write down the capacity of the container in one of the columns. Repeat with containers 2-5. When you have measured the capacity of all the containers, convert your measurements. Write your thinking. 40 Brisbane Youth Education & Training Centre 2013 v1.0

Container ml L and ml L Example 1200mL 1L and 200mL 1200 1 2 3 4 5 1000=1.2L List the capacity of the containers in ascending order.,,,,. Too deadly!. Ask your teacher to check your work. Now you can take the quiz and print your certificate. http://www.bbc.co.uk/skillswise/quiz/ma23capa-e3-quiz Don t forget to keep track of your learning! Go back and tick Measure capacity. Use the Temperature bookmark to start working again! 41

Temperature Temperature is the measure of how hot or cold something is. Watch this video to learn more about temperature. http://www.bbc.co.uk/skillswise/topic/temperature When measuring temperature we use degrees Celsius. The symbol for degrees Celsius is C Name three occasions you know that temperature is used: 1. 2. 3. 42 Brisbane Youth Education & Training Centre 2013 v1.0

Temperature is measured using thermometers. Read about the different types of thermometers here. http://www.bbc.co.uk/skillswise/factsheet/ma27temp-e3-f-types-of-thermometers This video shows how to read a thermometer. https://students.learningplace.eq.edu.au/middle/pages/resourceview.aspx?id=9def4c06-579f-e4c1-758a- 4ddf7f108bac&context=searchresult Print and complete this worksheet about reading thermometers. http://www.bbc.co.uk/skillswise/worksheet/ma27temp-e3-w-reading-thermometers 43

Let s Measure! You will need: Various thermometers For example: A clinical thermometer to measure body temperature A thermometer to read air temperature A meat thermometer Use the clinical thermometer and measure your own temperature. C Read the thermometer to see what temperature your classroom is. C Use the thermometers to fill in the following table. When you have finished, order the temperatures in ascending order (coldest to hottest) using the numbers 1 to 7. Body temperature Object Temperature Order Air temperature in the shade Air temperature in the sun Cup of cold water Cup of warm water Cup of hot water Soil Too deadly!. Ask your teacher to check your work. 44 Brisbane Youth Education & Training Centre 2013 v1.0

Now you can check your learning with this quiz. Print your certificate at the end. http://www.bbc.co.uk/skillswise/quiz/ma27temp-e3-quiz This worksheet allows you to practice all of your measuring skills with length, mass, capacity and temperature. Save or print a copy once you are finished. https://learningplace.eq.edu.au/cx/resources/file/979030e4-066d-4fcc-8caf- 9a0f15d245a1/1/Mth_Y04_U5_ACT_ReadGraduatedScales.pdf. Don t forget to k eep track of your learning! Go back and tick Measure temperature. Use the Rates bookmark to start working again! 45

Rates A rate compares different quantities in different units. We use rates every day. Some examples of rates are: Speed: kilometres per hour Cost: dollars per kilogram Petrol: cents per litre We can use the symbol / instead of writing per. We can also use the abbreviated, or short, form of the words. For example, kilometres per hour can be written as km/hr. Draw a line to match each rate with the abbreviated (short) form. Long form cents per minute dollars per hour beats per minute cents per litre kilometres per hour dollars per kilogram Abbreviated form km/hr cents/min $/kg $/hr beats/min cents/l 46 Brisbane Youth Education & Training Centre 2013 v1.0

From the list above, write what rate we would use to measure the following things. Use the abbreviated form. A person s heartbeat Filling the car with petrol Buying a bunch of bananas The speed of a car How much a person is paid The cost of a mobile phone call This website shows different types of rates. Click on the letter R on the side and then click on Rates. Complete the activity. You can use a calculator if you need to. http://www.amathsdictionaryforkids.com/dictionary.html. Well done! Ask your teacher to check your answers. Explain to your teacher what a rate is. Give some examples of rates. 47

Problem Solving with Rates This maths chart describes how to solve problems with rates. You may like to print a copy to help you with the following problems. To view the chart, click on the Ratios and Rates on the left hand side, then click on Rates. http://www.amathsdictionaryforkids.com/mathscharts.html Solve these problems. Write down your thinking. You can use a calculator if you need to. Examples You painted your friend s fence. He paid you $27 for 3 hours work. What was your hourly rate? 27 3 = 9 That means you were paid $9 every hour Answer: $9/hr You painted your friend s fence. He paid you $11/hr. You worked for 4 hours. How much did you earn? 11 x 4 = 44 That means you were paid $44 Answer: $44 48 Brisbane Youth Education & Training Centre 2013 v1.0

Problem 1 You did some work experience with the local mechanic for 6 hours and received $72. What was your hourly rate? = That means you were paid every hour. Answer: Problem 2 Your heart beat 240 times in 3 minutes. What was your heart rate? Answer : Problem 3 You bought 3kg of steak for $45. How much did each kilogram cost? Answer : 49

Problem 4 1kg of grapes costs $4. You bought 3kg of grapes. How much did it cost? Answer : Problem 5 You drove at 90km/hr for 3 hours. How far did you travel? Learning Place Answer : To try more problems involving rates complete this page. Save or print a copy. https://learningplace.eq.edu.au/cx/resources/file/621f53de-06e3-061c-bd85-2c68d1ffd357/1/my6_n_prrp_sh_rateprobs.pdf Well done! You are great at problem solving with rates! Ask your teacher to check your answers to the problems and the activity page. Choose two of the problems and explain how you solved them. Don t forget to keep track of your learning! Go back and tick Use rates. Use the Reflection bookmark to get back here! 50 Brisbane Youth Education & Training Centre 2013 v1.0

Reflection Now it is time to think about and reflect on your learning. Think about the unit of work you have just finished and fill in this table. Tick the box next to the face or words you agree with the most. Not at all A little bit A lot I enjoyed learning about measurement My maths skills have improved I need to learn more about measurement No Maybe Yes Now I am really good at I need to keep working on Congratulations!! You are finished the Measurement unit! Now you can measure length, mass, capacity, temperature and use rates. Great work! 51

Assessment Evidence Performance Criteria 1.1 Use standard units to measure length, mass, capacity and temperature, using everyday routine measuring instruments. Evidence in Workbook Length p11, p21-22 Mass p33, 34 Capacity p40-41 Temperature p44 1.2 Identify equivalent forms of standard units to compare and order measurements. Length p11, p21-22 Mass p33, 34 Capacity p40-41 Temperature p44 1.3 Convert between metric units by applying a knowledge of prefixes. Length p11, p21-22 Mass p33, 34 Capacity p40-41 2.1 Use rates in familiar and routine situations. Use rates p49-50 2.2 Record and explain the mathematical and problem solving process and results using a combination of written mathematical language and informal oral language. Length p11, p21-22 Mass p33, 34 Capacity p40-41 Use rates p49-50 Informal oral language - This symbol indicates an oral language activity TIME 2.1 Apply time based rates to solve problems. Use rates p49-50 52 Brisbane Youth Education & Training Centre 2013 v1.0