Mocktails

Purpose

This unit provides an opportunity for students to learn and apply knowledge of measurement of capacity and weight, ratios, and money (decimal numbers) in an engaging and authentic food-technology context.

Achievement Objectives
GM5-1: Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate.
NA5-1: Reason with linear proportions.
Specific Learning Outcomes
  • Develop a problem solving strategy to work out the unit cost for a produced item (a drink).
  • Measure and compare weight and capacity accurately, recognising that weighing water is equivalent to measuring its capacity in ml.
  • Convert volume measurements to weight measurements.
  • Calculate and apply ratios.
  • Make calculations with decimal numbers (2 dp) in the context of money.
  • Make calculations using measured quantities of weight and capacity.
Description of Mathematics

The overall aim of the unit is for students to create a mocktail, be able to express the recipe using measurements for a specific quantity and ratios so the drink can be produced in larger quantities.  Students will explore the cost of items for their recipe using online sources, and will use this research to calculate the total cost of their ingredients and the cost per drink.  Students will also work towards optimising their shopping and recipes to minimise wastage and cost.

Associated Achievement Objectives:

Technology:

TK5-2 Technological Products:  Understand how ingredients are selected, based on desired performance criteria.

Opportunities for Adaptation and Differentiation

The learning opportunities in this unit can be differentiated by providing or removing support to students, and by varying the task requirements. Ways to support students include:

  • providing extended opportunities for students to practise estimating and measuring the weights of liquids
  • modelling the calculation of total cost (i.e. the addition of decimals) and the calculation of ratios. You might encourage students to use more efficient addition strategies as the unit progresses
  • modelling the use of measurement tools
  • varying the amount of guidance you provide to students as they complete practical and written tasks during the unit
  • allowing for students to complete "written work" using a range of means and expression (e.g. as a video diary, an oral discussion, or an annotated diagram)
  • strategically organising students into pairs and small groups in order to encourage peer learning, scaffolding, and extension
  • working alongside individual students (or groups of students) who require further support with specific areas of knowledge or activities.

Students are likely to be engaged by the context of making food, and of a food-related competition. If you feel the context of mocktails is not appropriate, you could adapt the unit to be focused around smoothies, soups, ice creams etc. The process of making your chosen food product should provide students with ample opportunities for measuring liquid and solid ingredients. You should also consider the safety precautions that need to be practised in your chosen food context. 

To further enhance the purpose of this unit, you could have students create their food products for a special event (e.g economics fair, fundraiser, thank-you meals for community members). Consider also how links might be made to learning about the nutrition and/or cultural origins of these products.

Te reo Māori kupu such as taumaha (heavy, weight), kītanga (capacity), ōwehenga (ratio), moni (money), and whakatau tata (estimate) could be introduced in this unit and used throughout other mathematical learning.

Required Resource Materials
Activity

The unit is presented as sequence of 12 sessions but more sessions than this may be required. 

The unit starts with an introductory stations activity, followed by a set of skill building lessons which all follow the same format. These tasks allow students to build up a record of their work as they develop their problem solving skills. Once they have sufficient experience, students then research and design their own mocktail. After making their mocktail, students use their recipes to create a recipe book and there is a competition to finish the unit where students invite teachers to come and taste test their mocktails.

Session 1

Stations activityMocktail stations

Have students spend about 10 minutes completing the tasks at each station (Copymaster 1). There are seven stations in total, with each introducing an idea related to a mathematics or technology context. This will provide an important opportunity to observe students’ understandings of measurement, ratios, and food safety and preparation measures. You might use these observations to strategically organise groups of students for subsequent sessions. You could supplement or change these station tasks with others which promote similar learning, if you feel this is necessary. 

Session 2

Pina Banana

In this session students make a Pina Banana using the instruction card (Copymaster 2). Take a picture of each student's creation and provide time for them to enjoy it whilst completing their written work.

This written work should consist of students using online grocery shopping sites to find the answers to the questions shown below. You might provide a graphic organiser for students to use to organise their work, or have students work with partner to come up with a structure. 

  • How much does it cost to buy ingredients to make a Pina Banana?
  • How many drinks could you make with a certain amount of ingredients?
  • What would it cost to make a Pina Banana for each student in the class?
  • What is the cost per drink?
  • Could you buy just a little bit more of one ingredient in order to make a lot more drinks, e.g. one more banana?
  • What leftovers will you have from the drink you have made?
  • Describe the colour, flavour and texture of a Pina Banana.

As students work, roam and observe their use of measurement tools (e.g. scales, liquid cup measures), measurement practices (e.g. do they correctly measure using the provided tools?), and their capacity for working with money and ratios. Use these observations to inform your planning for subsequent sessions.

Session 3

Shirley Temple

In this session students make a Shirley Temple using the instruction card (Copymaster 3). Take a picture of each student's creation and provide time for them to enjoy it whilst discussing and writing the answers to the focus questions below:

  • How many Shirley Temples can you make for $20?
  • How much sugar is in a Shirley Temple?
  • Why is it called a Shirley Temple?
  • Describe the colour, flavour and texture of a Shirley Temple.

Use the examples of the work from the previous session to collaboratively come up with a generalised format for recording costs. 

As students work, roam and observe their use of measurement tools (e.g. scales, liquid cup measures), measurement practices (e.g. do they correctly measure using the provided tools?), and their capacity for working with money. Use these observations to inform your planning for subsequent sessions.

Session 4

Pink Panther

In this session students make a Pink Panther using the instruction card (Copymaster 4). Take a picture of each student's creation and provide time for them to enjoy it whilst completing their written work.

In their books they answer the following focus questions:

  • How much does it cost to make an organic Pink Panther?
  • How much does it cost to make a sugar-free Pink Panther?
  • Notice that the ingredients are the same as a Shirley Temple but the resulting mocktail is quite different.  Compare and contrast the two mocktails.

Session 5

The focus of this session is on using ratios and consolidating the ideas around cost developed so far. Support students to express each of the previously-introduced recipes for mocktails using ratios for the liquid ingredients. The process for this is described below:

  • Students calculate the exact amount of each ingredient needed to make a 1 litre “jug to share” mocktail.
  • Students use a spreadsheet to set out the costing. This can involve the use of formulae to make calculations/optimisations.

Session 6-7

In these sessions students plan to make their own mocktail using the booklet (Copymaster 5) and guide (Copymaster 6) provided. The research and design is likely to take two sessions. During this time, groups work with the teacher to measure the capacity of each of the glass types: highball, lowball, cocktail, flute. This is important as the volume in the recipe needs to match the volume of the glass used. The process for this is described below:

  • Students weigh and tare a glass.
  • Students fill the glass with water to an appropriate level and weigh it again.  The weight of the water in grams is the capacity in ml - emphasise this.
  • Students record the capacity of each glass. 

Look for students to identify how full a glass should be, that 1ml = 1g for water, and that this is a good estimate for other liquids.  Students can also be challenged to think about the approximate nature of the measurement, for example whether there is exactly 183 g or ml if that is what the scales say.

Session 8

In this session students practise making their mocktail and start costing it out.  The main focus is on trialing the mocktail, which is likely to take longer than the mocktail skill building sessions. During this activity students should also precisely weigh the solid ingredients, meaning, if their recipe uses ¼ cup of blueberries, they should record the weight in grams (g). This measurement of weight is important if students are to be able to adjust their recipes with accuracy (e.g. if there are a little too many or too few blueberries in the 1st trial).

Session 9

In this session, students practice making their mocktail again - with a greater focus on the speed with which they can make the drink, and on their finalised volume and weight measures for ingredients. 

As well as making their mocktails, students should also complete a draft recipe card, including the costing and optimisation of the ingredients (Copymaster 7). There is an example provided showing what this might look like (Copymaster 8). Collate these recipes into a recipe book. This is to be provided to students in the final session.

Session 10

Have students make their mocktails and present them to photos and tasting by guests. Available teachers/guests can be invited to come and taste and judge the mocktails in a positive and celebratory way. The students will love seeing the guests’ reactions and enjoyment of their creations. Each guest judge has their own straw to use in the drinks and rates each one they tasted using a scale of 1 to 5 for flavour, texture and presentation. Share the recipe book, celebrate all drinks created, and name a winner. You might also decide on awarding other special prizes (e.g. most creative, most sustainable use of ingredients, best presentation, students' choice).

Attachments

Printed from https://nzmaths.co.nz/resource/mocktails at 9:40am on the 27th April 2024