iflakes Investigation 5 Understanding the Investigation Teacher note
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- Elfrieda Roberts
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1 Investigation 5 iflakes Topics Before you start the Investigation you need to know NA16 Place value to thousandths... p62 NA22 Percentages... p74 NA23 Percentages using a calculator... p76 SP2 Interpreting data...p122 SP3 Dot plots...p124 SP4 Discrete data...p126 SP5 Column graphs...p128 Understanding the Investigation 1 Read and plan. Make sure you understand the meanings of: breakfast club, nutritious, nutritional value, protein, fat, carbohydrate, sugar, fibre, recommendation, ingredient, interpret and analyse. Read and discuss the rubric. Download your Investigation plan. This will help you with the organisation and understanding of the Investigation. Teacher note suggestions and resources are available in imaths 5 Teacher Book. The Data page and Investigation plan for this Investigation can be downloaded from 16 imaths 5 Student Book ISBN
2 Data page 1 iflakes nutritional values Nutritional values per 100 g Protein g Fat...5 g Carbohydrate g (Sugar g) Fibre...10 g ISBN imaths 5 Student Book 163 Materials Investigation 5: iflakes Data page 1 Internet access Data page 1 Calculator Graph paper 6 different cereal boxes per group Investigation 1 5 Using maths 2 Collect data and cereal boxes. Survey the students in your class to collect data on their favourite breakfast cereals. Show the results of your survey on a dot plot. In groups, select six different cereals to investigate and collect the boxes. 3 Study the nutritional information. Look at the nutritional information on Data page 1 iflakes nutritional values (p163). Locate the same nutritional information on each of the cereal boxes you collected. Look at the amounts per 100 g of each ingredient. How does this relate to percentages? 4 Record your information. Construct a table to record information for each of the seven cereals, including iflakes. Record the percentage per 100 g of protein, fat, carbohydrate, sugar and fibre for each cereal. 5 Graph your data. Use the data from your table to construct five different column graphs. One column graph will show the percentages of protein for each cereal. The other four column graphs will show percentages of fat, carbohydrate, sugar and fibre. 6 Interpret your data. Analyse the data and decide which cereal has the highest nutritional value. Choose the best three cereals to be served at the breakfast club. Reasoning and reporting 7 Display your tables and graphs. Show the class your tables and graphs. Justify your choice of cereals. You must be able to explain the reasons for your recommendation. Go to imathskids.com.au the Investigation 5 area contains the Investigation plan, websites and Data page that you need to complete this Investigation. Nutritional information (amounts per 100 g) Cereal Protein Fat Carbohydrate Sugar Fibre Inquiry Look more closely at the information on one of your cereal boxes. What other types of nutritional information are included? Some ingredients occur in very small amounts. Find out what each of these different symbols mean: mg, µg and kj. ISBN imaths 5 Student Book 17
3 NA16 Place value to thousandths M HT tt T H t O. t ths H ths T ths millions hundred thousands ten thousands thousands hundreds tens ones tenths hundredths thousandths To read the number say forty-five and three hundred and ninety-two thousandths or forty-five point three nine two or forty-five decimal three nine two never forty-five point three hundred and ninety-two Try this a say b or c or 2 The place value of the 3 in is thousandths (T ths ). Name the place value of the bold digit in these numbers. a c e b d f g imaths 5 Student Book ISBN
4 snow peas kg blueberries kg potatoes 5.15 kg apples 1.35 kg onions kg plums kg kiwifruit kg Topic NA16 3 What is the place value of the 5 in the mass of: onions? potatoes? blueberries? snow peas? 4 Write the fruit or vegetable and its mass in the correct box to show where its mass fits on the number line kg kg kg 5 Which fruit or vegetable package is closest to 1 kilogram? 6 Which fruit or vegetable package is closest to half a kilogram? 7 Place the packages in order from greatest mass to least mass. a b c d e f g Challenge Count in thousandths: Counting in hundredths, here are the numbers from 3.7 to Counting in thousandths, write the numbers from 3.71 to ISBN imaths 5 Student Book 63
5 Problem solving strategies 8 Make an organised list Share this problem Shirley's Lolly Temple makes mixed bags of lollies containing any three of your favourites. Show the different mixes that can be made from this selection of five. 1 lollipops 2 bubblegum 3 sours 4 teeth 5 red raspberries Discuss the solution Pair lolly 1 with lolly 2, then add 3, 4 and 5 in turn Pair lolly 1 with lolly 3, then add 4, and 5 in turn Pair lolly 1 with lolly 4, then add Pair lolly 2 with lolly 3, then add 4 and 5 in turn Pair lolly 2 with lolly 4, then add Pair lolly 3 with lolly 4, then add Shirley's Lolly Temple has the 10 mixed bags of three lollies listed above. 146 imaths 5 Student Book ISBN
6 Problem solving strategies 1 Guess and check YouR turn Emilio's Exotic Spice Bar sells delicious 3-spice mixes from this selection of five spices A nise B asil C innamon D ill E lder. Show all the possible 3-spice mixes. Strategy 8 1 Guess and check 6 Check for relevant or irrelevant information 2 Make a table or chart 7 Find smaller parts of a large problem 3 Draw a picture or diagram 8 Make an organised list 4 Act out the problem 9 Solve a simpler problem 5 Find a pattern or use a rule 10 Work backwards ISBN imaths 5 Student Book 147
7 2 8 4 Mental computation strategies + Addition strategies A Friendly chunks A Friendly chunks B Friendly balance C Friendly and fix D Friendly pairs E Place value Question Strategy: Count on in friendly chunks. Answer $695 + $ $5 +$55 $695 $700 $ $755 B Friendly balance Question Strategy: Move amounts from one number to another to make easy additions. Answer move $54 + $67 $60 + $61 move 6 $ move imaths 5 Student Book ISBN
8 C Friendly and fix Question Strategy: Make numbers friendly then fix the change. Answer = 96, 1 (friendly) (fix) = 430, 5 (friendly) (fix) = 837, 2 (friendly) (fix) 835 D Friendly pairs Question Strategy: Find compatible pairs of numbers that are easy to add. Answer Mental computation E Place value Question Strategy: Add each place in turn. Answer ( ) + ( ) + (2 + 1) (5 + 3) + ( ) ( ) + ( ) 60.8 ISBN imaths 5 Student Book 153
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