mathsinvestigation decimals and percentages party...

Decimals and Percentages Investigation - Teacher Notes

Teacher Notes

RationaleMathematics investigations open students’ minds to the possibility of multiple approaches, multiple outcomes and multiple solutions. When linked to the world in which they live, open-ended investigations can help students see the relevance of mathematics within their lives. They also provide wonderful opportunities for differentiation, enabling students to feel confident and successful as they engage with tasks at their own individual level.

OverviewThis mathematics investigation has been designed to accompany a unit of work on decimals and percentages. It requires students to apply their knowledge and understanding of these concepts to a real-world situation.

ObjectiveTo plan an end of year class celebration, adhering to a list of conditions.

DurationApproximately three 60 minute lessons

Prior LearningBefore commencing the investigation, students should be familiar with the following concepts:• calculating discount amounts and sale price• performing calculations involving decimals.

Differentiation: Supporting StudentsLess capable students could be supported in their learning by allowing them to use digital technologies when performing calculations. Alternatively, the task could be simplified by reducing the number of items on the party supplies catalogue, or reducing the number of people attending the celebration.

Differentiation: Extending StudentsMore capable students could be challenged to complete calculations for a range of additional scenarios; such as sourcing reasonably priced entertainment for the celebration, further reducing costs by a certain percentage or catering for an additional number of people.

Monitoring Student UnderstandingDue to the open-ended nature of this investigation, students’ responses will vary significantly. For this reason, answers have only been provided for some sections for the task. For the remaining sections, teachers must check that each student has completed the investigation according to the task requirements.

Item Number PerPacket Price Discount Amount Sale Price

Snacks – 10% off

Potato chip packets

10 $5.00 $0.50 $4.50

Boxes of sultanas

6 $3.00 $0.30 $2.70

Popcorn packets 10 $5.50 $0.55 $4.95

Lunch Items – 25% off

Chicken nuggets 20 $4.00 $1.00 $3.00

Mini-pizzas 6 $8.00 $2.00 $6.00

Sushi rolls 20 $20.00 $5.00 $15.00

Sweet Treats – 10% off

Chocolate cupcakes

10 $3.50 $0.35 $3.15

Yoghurt iceblocks

10 $6.00 $0.60 $5.40

Bag of lollipops 12 $2.50 $0.25 $2.25

Drinks – 50% off

Water 6 x 250 mL $2.50 $1.25 $1.25

Juice 6 x 250 mL $5.00 $2.50 $2.50

Lemonade 10 x 375 mL $11.00 $5.50 $5.50

INVESTIGATION

Decimals and Percentages Investigation - Answers

Item Number Per Packet Price Discount Amount Sale Price

Snacks – 10% off

Potato chip packets

10 $5.00 $0.50 $4.50

Boxes of sultanas

6 $3.00 $0.30 $2.70

Popcorn packets 10 $5.50 $0.55 $4.95


Chicken nuggets 20 $4.00 $1.00 $3.00

Mini-pizzas 6 $8.00 $2.00 $6.00

Sushi rolls 20 $20.00 $5.00 $15.00


Chocolate cupcakes

10 $3.50 $0.35 $3.15

Yoghurt iceblocks

10 $6.00 $0.60 $5.40

Bag of lollipops 12 $2.50 $0.25 $2.25

Drinks – 50% off

Water 6 x 250 mL $2.50 $1.25 $1.25

Juice 6 x 250 mL $5.00 $2.50 $2.50

Lemonade 10 x 375 mL $11.00 $5.50 $5.50

Discount Price Recording Worksheet - AnswersFood

Item Number PerPacket Price Discount Amount Sale Price

Party Decorations – 25% off

Party hats 5 $2.00 $0.50 $1.50

Balloons 20 $2.80 $0.70 $2.10

Roll of streamers 2 $1.00 $0.25 $0.75

Bunting 1 x 3m $2.40 $0.60 $1.80

Party poppers 10 $1.60 $0.40 $1.20

Party blowers 10 $3.20 $0.80 $2.40

Serving Supplies – 10% off

Paper plates 20 $2.50 $0.25 $2.25

Paper cups 25 $3.00 $0.30 $2.70

Straws 50 $1.00 $0.10 $0.90

Plastic tablecloths 1 $2.00 $0.20 $1.80

Serviettes 100 $1.50 $0.15 $1.35

Wet hand wipes 100 $4.50 $0.45 $4.05

INVESTIGATION

Decimals and Percentages Investigation - Answers



Party hats 5 $2.00 $0.50 $1.50

Balloons 20 $2.80 $0.70 $2.10

Roll of streamers 2 $1.00 $0.25 $0.75

Bunting 1 x 3 m $2.40 $0.60 $1.80

Party poppers 10 $1.60 $0.40 $1.20

Party blowers 10 $3.20 $0.80 $2.40


Paper plates 20 $2.50 $0.25 $2.25

Paper cups 25 $3.00 $0.30 $2.70

Straws 50 $1.00 $0.10 $0.90

Plastic tablecloths 1 $2.00 $0.20 $1.80

Serviettes 100 $1.50 $0.15 $1.35

Wet hand wipes 100 $4.50 $0.45 $4.05

Discount Price Recording Worksheet - AnswersParty Decorations and Serving Supplies

INVESTIGATION

Your teacher has set the following list of conditions for the end of year celebration:• All food, party decorations and serving supplies must be purchased from your local

party supplies store, Pandora’s Party Palace, using the catalogue provided.• An assortment of food must be selected; including snacks, a selection of lunch items,

some sweet treats and some drinks. You must choose some healthy options whenselecting the party food.

• A selection of decorations must be purchased to help your classroom look brightand festive.

• An adequate amount of serving supplies for the food and drink you have orderedmust be purchased.

• You must not exceed the budget of $ that has been set and agreed to by the class.

Your class has asked your teacher if you can celebrate the end of the school year with a party. Your teacher has agreed, provided that the class takes full responsibility for planning the event and works within a budget. Food, party decorations and serving supplies will need to be purchased from your local party supplies shop, Pandora’s Party Palace. Luckily, they are currently having a sale and items can be purchased at discount prices.

Before planning the celebration, your teacher and classmates must discuss and agree to a fair budget for the party expenses. Once decided upon, each student must create a party plan for the class celebration. The party plan must provide a full list of all food, party decorations and serving supplies to be purchased, the quantity of each item required, the total cost per item and the overall cost of the celebration. Your teacher will then select one of the party plans to put into action!

Create a comprehensive party plan for an end of year celebration foryour class.Follow the conditions that your teacher has set, which are outlined below.

Prepare to Party!

1. Check your understanding of the taskCarefully read through the task and the list of conditions. If thereare any instructions that you do not understand, ask your teacherto explain them to you.2. Calculate the discount pricesBefore you select any food, party decorations or serving suppliesfor the class celebration, calculate the discount price of each itemin the Pandora’s Party Palace catalogue. Record the discountprices on the worksheet provided.3. Choose your food itemsSelect the food items you wish to purchase for the class celebration, making sure you adhere to the conditions set by your teacher. List the food items, the quantities required and the total cost for each on the worksheet provided. Once you have chosen all your food items, calculate the total cost.4. Choose your party decorations and serving suppliesSelect the party decorations and serving supplies you wish to purchase for the class celebration. List the items, the quantities required and the total cost for each on the worksheet provided. Once you have chosen all party decorations and serving supplies, calculate the total cost.

5. Calculate the total cost for thecelebration and make adjustmentsif necessaryAdd your two totals together tocalculate the total cost of the food,party decorations and serving supplies you have selected. If your total is over the agreed budget, you will need to make adjustments to your selections and recheck your totals until your costs are under (or on) budget.6.Submit your party planOnce your party plan is completed,submit it to your teacher.

The Materials• Party supplies catalogue• Party plan templates• Recording worksheets• A lead pencil• An eraser

Snacks Snacks

FOOD

10% OFF10% OFF

Lunch ItemsLunch Items 25% OFF25% OFF

Sweet TreatsSweet Treats

DrinksDrinks

Sultanas

Sweet and

deliciousSweet and

delicious

Sultanas

Sweet and

deliciousSweet and

delicious

SultanasSultanasSultanasSultanas

Sweet and

deliciousSweet and

delicious

Sultanas

Sweet and

deliciousSweet and

delicious

Sultanas

Sultanas

Sweet and

deliciousSweet and

delicious

Sultanas

Sultanas

Sweet and

deliciousSweet and

delicious

Sultanas

10BAGS10BAGS

MicrowavePOPCORN

10individualPACKS

10individualPACKS

MiniPizzasPEPPORONI

MiniPizzas

by Peteby Pete

PEPPORONI

6MINI

PIZZAS

6MINI

PIZZAS

RaspberrySwirls

RaspberrySwirls

3 delicious flavours

individualIceblocks

H2ORefresH

500mL

H2ORefresH

500mL

H2ORefresH

500mL

H2ORefresH

250mL

H2ORefresH

250mL

H2ORefresH

250mL

Squiggles

375mL

LemonadeLemonade

Squiggles

375mL

LemonadeLemonade

Squiggles

375mL

LemonadeLemonade

Squiggles

375mL

LemonadeLemonade Squiggles

375mL

LemonadeLemonade

Squiggles

375mL

LemonadeLemonade

Squiggles

375mL

LemonadeLemonade

Squiggles

375mL

LemonadeLemonade

Squiggles

375mL

LemonadeLemonade

Squiggles

375mL

LemonadeLemonade FRuit

SaLaD

TuTtIFrUItYTuTtIFrUItY

250mL

TuTtIFrUItYTuTtIFrUItYTuTtIFrUItY

TuTtIFrUItY

FRuitSaLaD


250mL


TuTtIFrUItY

FRuitSaLaD


250mL


TuTtIFrUItY

FRuitSaLaD


250mL


TuTtIFrUItY

FRuitSaLaD


250mL


TuTtIFrUItY

FRuitSaLaD


250mL


TuTtIFrUItY

$5.00

Potato chips

10 packets per pack

$5.50

Popcorn10 packets per pack

Sultanas6 boxes per pack$3.00

$4.00

Chicken nuggets20 pieces per box

$20.00 Sushi20 rolls

Mini pizzas6 pizzas per box$8.00

Chocolate cupcakes10 cupcakes per box$3.50

Water6 x 250 mL

bottles

$2.50

Lemonade10 x 375 mL bottles

$11.00

LollipopsBag of 12$2.50

$6.00Yoghurt

iceblocks10 per box

10% OFF10% OFF

50% OFF50% OFF

Juice6 x 250 mL boxes$5.00

Decorations

Decorations and Serving Supplies

Serving Supplies

Decorations

Serving Supplies

Party hats5 hats

per packet

Bunting1 x 3 m

Streamers2 rolls per packet

Party poppers10 per packet

Party blowers10 per packet$20

Paper plates20 plates per pack

Plastic tablecloth1 per pack

Serviettes100 per pack

StrawsBox of 50

$1.00

$4.50

$1.00

$2.50

$2.00

$2.00

$3.00

$1.50

$2.80

$3.20$2.40

$1.60

Paper cups25 cups per pack

10% OFF10% OFF

Wet hand wipes100 wipes per tub

Balloons20 per packet

25% OFF25% OFF

Decimals and Percentages Investigation - Worksheet

DateName


Snacks – 10% off

Potato chip packets

10 $5.00

Boxes of sultanas

6 $3.00

Popcorn packets 10 $5.50


Chicken nuggets 20 $4.00

Mini-pizzas 6 $8.00

Sushi rolls 20 $20.00


Chocolate cupcakes

10 $3.50

Yoghurt iceblocks

10 $6.00

Bag of lollipops 12 $2.50

Drinks – 50% off

Water 6 x 250 mL $2.50

Juice 6 x 250 mL $5.00

Lemonade 10 x 375 mL $11.00

Pandora’s Party Palace – Discount Price Recording WorksheetFood

INVESTIGATION


DateName



Party hats 5 $2.00

Balloons 20 $2.80

Roll of streamers 2 $1.00

Bunting 1 x 3 m $2.40

Party poppers 10 $1.60

Party blowers 10 $3.20


Paper plates 20 $2.50

Paper cups 25 $3.00

Straws 50 $1.00

Plastic tablecloths 1 $2.00

Serviettes 100 $1.50

Wet hand wipes 100 $4.50

Pandora’s Party Palace – Discount Price Recording WorksheetParty Decorations and Serving Supplies

INVESTIGATION


DateName

INVESTIGATION

Item Description Discount Price Quantity Required

Working Out(show your working)

Sale Price

e.g Potato chip packets(packs of 10)

$4.50 3 $4.50 x 3 = $13.50

End of Year Celebration – Party Planner (Food)

FOOD TOTAL =


DateName

INVESTIGATION

Item Description Discount Price Quantity Required

Working Out(show your working)

Sale Price

e.g. Paper plates(packs of 20)

$2.25 2 $2.25 x 2 = $5.00

End of Year Celebration – Party Planner (Party Decorations and Serving Supplies)

PARTY DECORATIONS AND SERVING SUPPLIES TOTAL =


DateName

End of Year Celebration Calculations and Checklist

The total amount I have spent on food, party decorations and serving supplies is ____________ .

This is ____________________ under the agreed budget of ______________________ .

✔ I have chosen some snack items.

✔ I have chosen some lunch items.

✔ I have chosen some sweet treats.

✔ I have chosen some drinks.

✔ I have included some healthy options.

✔ I have chosen a selection of bright decorations.

✔ I have chosen an adequate amount of serving supplies.

Food Total =

Party Decorations and Serving Total =

GRAND TOTAL =

Budget Amount =

Grand Total =

AMOUNT LEFTOVER =

INVESTIGATION


DateName

Reflection1. What affected the decisions you made when selecting food for the class celebration?

2. What affected the decisions you made when selecting party decorations and servingsupplies?

3. Did you find it difficult to adhere to the budget agreed to by the class? Why or why not?

4. What new knowledge and skills did you learn by completing this investigation?

5. Circle the statement that best suits how you feel after completing this investigation.

a) I feel very confident calculating discounts and working with decimals.

b) My understanding of discounts and decimals is improving.

c) I still need some help when working with discounts and decimals.

INVESTIGATION

mathsinvestigation decimals and percentages party...

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