PHGN Food & Nutrition
Consolidate Number Skills
TAFE SA Code: CAAFA
Nominal Hours: 30
Unit Descriptor:
The focus of this unit is to consolidate the learner’s skills in
interpreting, using and calculating money, numerical information and creating and interpreting simple tables and graphs necessary for use within a community, education, or vocational context.
Application of Unit:
This unit applies to learners wanting to develop numeracy skills for self, employment, education and/or community participation. It will consolidate numeracy skills already gained. When delivered with Consolidate spatial skills, CAAEZ ensure the learner has the necessary skills to achieve level 2 of the ACSF indicators of competence for numeracy.
See Australian Core Skills framework levels of Performance for more detail.
The young person’s readiness to start this unit of work can be assessed through the numeracy assessment in their Flexible Learning Transition Plan.
To enhance the outcomes for learners it is recommended that this unit be taught concurrently with other units at this level, and that assessments include both integrated and standalone tasks.
To achieve competence in this unit the young person must be able to interpret, use and calculate costs, interpret, use and calculate numerical information in familiar texts and interpret and create simple tables and graphs
They need to demonstrate skills in:
← Estimation
← Understanding place value
← Accurate addition, subtraction, multiplication and division calculations
← Money use
← Fractions and percentages
← Using and interpreting graphs and tables
Critical aspects for assessment and evidence required to demonstrate competency in this unit:
This unit contains a range of opportunities to assist the young person to meet the performance criteria. (see Checklist)
Competence is demonstrated through holistic and simulated/real life tasks rather than a specific individual assessment for each concept.
Authentic opportunities may include:
← Understanding use of numbers and graphs in newspapers, magazines,
← personal documents
← advertising
← information leaflets
← timetables
Context of and specific resources for assessment:
A range of assessment strategies are required to demonstrate competency if this unit including
← direct observation
← group discussions
← worksheets
← comprehension questions
← presentations:
← questioning:
← self assessment
Consistency of Performance:
This unit of competency must be assessed over a period of time in order to ensure consistency of performance over the Range Statements and contexts.
Consolidate Number Skills
Certificate 1 Education and Skills Development
Compulsory Unit
Name: __________________________ TAFE ID Number: ___________________
|Performance Criteria |Date Assessed |WPA Initial |
|Interpret, use and calculate costs in familiar situations |
|1.1 Establish an estimate of a result before making an accurate calculation involving money | | |
|1.2 Use place value concepts for whole number and decimals to interpret and compare numbers involving money | | |
|1.3 Perform simple add and subtract calculations with money including converting between common fraction, | | |
|decimal and percentage forms using common denominators only | | |
|1.4 Interpret familiar texts containing graphical representation and language associated with money | | |
|Interpret, use and calculate numerical information in familiar texts |
|2.1 Identify numerical information in text and determine an appropriate calculation to solve a problem | | |
|2.2 Use place value concepts for whole numbers and decimals to interpret and compare numbers | | |
|2.3 Make an initial estimate of the result then carry out an accurate numerical calculation | | |
|2.4 Convert simple, familiar fractions, decimals and percentages to equivalent values in a form appropriate to| | |
|the situation | | |
|2.5 Check the reasonableness of results against initial estimate, context of problem and personal | | |
|knowledge/experience | | |
|Interpret and create simple tables and graphs |
|3.1 Collect and sort data and record into tables | | |
|3.2 Represent data in graphical form, using appropriate | | |
|scales and axes | | |
|3.3 Interpret the meaning of data and associated language found in familiar texts, tables and graphs | | |
|3.4 Use a range of descriptive language related to graphs and tables | | |
Result: achieved / not yet achieved
Date Completed: ___________________ Student Signature: ________________________
Assessor Name: ___________________________ Signature:_______________________
Consolidate Number Skills
This unit of work is in 2 sections. The first section is about skills building, where you can find a whole range of learning activities and information. This is a great place to either learn some new things or review some maths concepts that you might have forgotten. Your facilitator will help you choose the tasks to focus on and work through this section, as depending on your knowledge, you may spend either a lot of time in this section, or not much time at all.
Topic covered include:
← estimation
← place value
← addition
← subtraction
← multiplication
← division
← fractions, decimals and percentages
← money
← interpreting data, graphs and tables
The second section is the project work. This is where you get to put your skills and knowledge into action.
There are a whole range of different mini projects to choose from. You will need to keep all your work and clearly show every stage of the mini projects so that your facilitator can see the skills you have used.
If you can’t find some mini-projects that interest you, have a chat with your facilitator and design your own.
It’s OK if you want to do this work with a partner – just make sure you both keep the evidence of your work!!
All maths definitions taken from:
Estimation
Estimation is finding a value that is close enough to the right answer, usually with some thought or calculation involved.
Eg: Sam's estimation of 400 bricks to build the wall was very good, as there were only 12 bricks left over.
The following links have information and activities about estimation.
Fact Sheets and information:
Maths is Fun
BBC Skillwise
Estimating numbers using rounding
Understanding why numbers are rounded
Rounding numbers to the nearest 10 and 100
Rounding and estimating number revision
Rounding numbers to the nearest 10
Rounding numbers to the nearest 100
What is rounding
Knowing when to round numbers
Worksheets:
BBC Skillwise
Rounding measurements
Rounding to the nearest 10
Rounding to the nearest 100
Interactive games:
Estimation Game
Estimation Valley Golf
Maximum Capacity
Rounding Master
Ice Ice Maybe
Maths Quiz
Media Clips:
Estimating In Maths
Place value
Place value is the value of where the digit is in the number, such as units, tens, hundreds, etc.
Eg. In 258, the place value of the 5 is "tens"
In 17.591, the place value of the 9 is "hundredths"
[pic]
Fact Sheets and information:
Skillwise
Place Value
Zero as a placeholder
Worksheets:
Skillwise
Biggest Number Wins
Comparing whole numbers
Counting on and back in hundreds
Odd and even numbers
Reading and writing numbers from facts
Reading and writing numbers in order
Place value 1
Reading and writing numbers – place value charts
Interactive Games:
Place Value Pirates
Decimals of the Caribbean
Computation Castle
Wishball: tournament
Challenge your understanding of place value in whole numbers and decimal fractions, from 0.001 to 9999. Either add or subtract numbers to reach a target number. For example, receive a starting number of 39.61. Spin the number 5 and decide whether to add or subtract 0.05, 0.5, 5 or 50 to reach your target number of 70.12 within 20 turns. Use the ‘Wishball’ to select your final digit. Try to reach the target in as few turns as possible. Play a random game, replay a previous game or play a game with the same target number as someone else. This learning object is a series of 15 objects.
Media Clips:
Place Value 1
Place Value 2
Addition and subtraction
Addition is finding the total, or sum, by combining two or more numbers.
Eg: 5 + 11 + 3 = 19
Subtraction is taking one number away from another.
Eg 658 – 471 = 187
Fact Sheets and Information
BBC Skillwise
Addition
Shared – 5 ways to add and subtract in your head
Addition
Hundreds, tens and ones
Key words for mental addition
Reminders to help you add
Splitting up numbers
Subtraction
Counting on using an empty number line
Help with Subtraction – reminders
Subtraction methods
Subtraction by splitting up numbers
Mental subtraction key words
Worksheets
BBC Skillwise
Addition
Doubling
Addition by splitting up numbers
Addition activities
Empty number lines
Hundreds, tens, ones
Subtraction
Using empty number lines
Identifying subtraction methods
Identifying the correct subtraction
Splitting up numbers
Interactive Games
Fridge Magnet Addition game
Bargain Hunt Adding game
Conveyor Belt Addition game
Addition by Splitting game
Fridge Magnet Subtraction game
Subtraction by Splitting game
BIDMAS Blaster
Dice duels: airport addition
Move planes along numbered lanes on an airport runway. Add the numbers on a pair of dice to determine which plane takes off. Try to predict which lane is most likely to clear quickly. Explore how many rolls are needed to match a chosen number five times. Look at an explanation of uneven distributions. Compare the theoretical data distribution with experimental results. This learning object is one in a series of 11 objects.
Dice duels: airport subtraction
Move planes along numbered lanes on an airport runway. Subtract the smaller number from the larger number on a pair of dice to determine which plane takes off. Try to predict which lane is most likely to clear quickly. Explore how many rolls are needed to match a chosen number five times. Look at an explanation of uneven distributions. Compare the theoretical data distribution with experimental results. This learning object is one in a series of 11 objects.
Media Clips
Check out the following clips which demonstrate addition and subtraction.
Addition and Subtraction Problems
Addition, Subtraction
Two digit subtraction
Multiplication and division
The basic idea of multiplication is repeated addition.
For example: 5 × 3 = 5 + 5 + 5 = 15
But as well as multiplying by whole numbers, you can also multiply by fractions or decimals.
For example 5 × 3½ = 5 + 5 + 5 + (half of 5) = 17.5
Division is splitting into equal parts or groups. It is the result of "fair sharing".
Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates?
Answer: They should get 4 each.
We use the ÷ symbol, or sometimes the / symbol to mean divide:
12 / 3 = 4
12 ÷ 3 = 4
Fact Sheets and Information
BBC Skillwise - Multiplication
Introduction to Multiplication
Multiplication: Splitting method
Multiplication tips
Multiplication revision
BBC Skillwise - Division
Division problems
Division: Repeated subtraction
Division revision
Introduction to revision
Division tips
Worksheets
BBC Skillwise - Multiplication
Multiplication: Matching activity
Multiplication triangles
BBC Skillwise - Division
Division matching activity
Interpreting division problems
Division problems sorting activity
Interactive Games
Fridge Magnet Multiplication Game
Fridge Magnet Division game
Media Clips
Multiplication
Simple Division
Fractions, decimals and percentages
Fractions are part of a whole.
A number written with the bottom part (the denominator) tells you how many parts the whole is divided into, and the top part (the numerator) tells how many you have.
[pic]
Decimals are based on 10
Example: the numbers we use in everyday life are decimal numbers, because there are 10 of them (0,1,2,3,4,5,6,7,8 and 9).
Often "decimal number" is also used to mean a number that uses a decimal point followed by digits as a way of showing values less than one.
Example: 1.9 is a decimal number (one and nine tenths)
Percentage is parts per 100
The symbol is %
Example: 25% means 25 per 100
(25% of this box is green)
[pic]
Fact Sheets and Information
Fraction Action
Introduction to Fractions PowerPoint presentation
[pic]
Fraction, Percentage, decimal PowerPoint presentation
[pic]
BBC Skillwise – Fractions
Different types of fraction
Estimating fractions
Recognising fractions from shapes
What is a fraction?
What do the numbers in fractions mean?
BBC Skillwise – percentages
percentages
percentage problems
BBC Skillwise – decimals
revising decimals
decimals and calculators
the decimal point and reading decimals
what are decimals
reading decimals
Worksheets
BBC Skillwise – Fractions
Finding fractions of time
Reading and writing fractions
Working out fractions problems
Working out fractions
BBC Skillwise – percentages
Finding percentages of amounts
Shading percentages
Matching up fractions and percentages
BBC Skillwise – decimals
Metres and centimetres 1
Metres and centimetres 2
Place value 1
Place value 2
Using a calculator
Zero as a place holder
Interactive Games
Ice Ice Maybe
Any fractions method game
Fractions dolphin racing game
Fractions of something game
Fraction Fiddle – reach the target
Help a boy to hit a bull’s-eye with his paper plane. Build two fractions that add up to a target number up to two. Complete the numerators of both fractions (one may have a fixed denominator). For example, work out how many thirds and how many sixths can be added together to total 4/3. Look at fraction bars and a number line to compare the two fractions and their total. This learning object is one in a series of seven objects.
Fraction Fiddle - tool
Use a tool to explore what happens when you change the numerals in a fraction. Compare two fractions and find out which is larger. For example, decide whether 4/3 is larger than 7/5. Build the two fractions. Compare the fractions on a number line. This learning object is one in a series of seven objects.
Shape Fractions
Use this tool to explore how to express fractions and display them in different ways. Divide simple shapes into equal parts. Select regions, then express the area selected as a fraction (or equivalent). Manually select fractions or choose other options to set variables displayed.
Leisure Survey
Explore how kids use their leisure time. Choose questions to ask in a survey. For example, look at the percentages of kids that play tennis, basketball or netball. Examine a table of results. Sort the data and use it to answer questions. Display the results using a suitable type of graph such as a pie chart, bar graph or histogram. Identify conclusions supported by the evidence. Write a report based on the survey results. This learning object is a combination of three objects in the same series.
Media Clips
The Original Maths Song
Change Decimals to Fractions
Change Fractions to Decimals to Percents
Change Percents to Fractions Form
Converting Fractions to Decimals
How to convert Percents to Decimals
Math Antics – Convert any Fraction to a Decimal
Money
Fact Sheets and Information
Financial Literacy - Helping young Australians to manage money.
Making Cents – resource
Money Count PowerPoint
Control click on the image.
[pic]
Worksheets
Australian Money Worksheets
Maths Aids – Money Worksheets
Busy Teacher – money worksheets
Interactive Games
Money Master
School canteen
Students apply critical numeracy skills to a wide range of interactive computer-based consumer and financial situations. The series of eight learning objects requires students to take responsibility for purchasing stock online for the school canteen. Students are required to identify best buys and alternative ways to complete the canteen order at the lowest possible cost to the school.
They must solve problems involving money and quantities as they work through four foci for the canteen: restock, best buy, two suppliers, and estimate and check. For each of these, two levels of sophistication are offered, the first suggested for Years 5-9 and the second level for Years 7-9.
Biz Whiz series
This web based interactive series gives students the opportunity to take on the role of a young entrepreneur. The business centres on walking dogs in the local neighbourhood. There are four activities in the series and each one looks at a different area of the operations of the business.
The goal is to boost the business's income by attracting new customers and building a good reputation. Students also have to market the business creatively and use resources efficiently.
Coin Land
Coinland is an animated virtual world where kids can learn the basics of money management. Setting key saving goals and tasks, kids work and spend coins through game play, learning concepts like how to earn money, budgeting, saving, understanding pricing and the consequences of spending.
Animated videos are placed throughout the world as another tool to demonstrate financial concepts. They also provide directions for kids to achieve their next task. Through leader-boards and safe-chat, Coinland gives kids a level of relationship and competitiveness that motivates increased engagement and learning opportunities.
Clever Shopping
This teaching and learning package has been designed to raise awareness of financial issues for students through the NSW Mathematics syllabus areas of number and data. All examples are taken from 'true life' to illustrate some of the consumer issues facing the community. The package can be used to support learning in a traditional lesson format or as a student-centred, online learning activity.
Community Enterprise
This series of interactive computer-based activities requires students to explain the reasons they want some basic goods and services and to creatively explore options to earn money or other rewards. These three graduated learning objects challenge students to make recommendations to the local mayor about future local enterprises.
The process of arriving at the recommendations requires research which includes comparison of the environmental, social and economic consequences of developing new enterprises in a small community. There are creative opportunities in these objectives for literacy and numeracy skills development.
MilbaDjunga - Smart Money
An initiative of the Queensland Department of Education and Training and ASIC, the MilbaDjunga website has a range of resources to support teachers of Aboriginal and Torres Strait Islander students in teaching consumer and financial literacy.
There are two online units: one for primary students which involves hands-on activities to engage students in exploring wants and needs, earning money and budgeting; and one for secondary students which leads them through a step-by-step process to start a small business.
There is also a selection of interactive Learning Objects to support these units, resources with an Indigenous focus and a Your Stories section where you can share your experiences.
Mobile Plan Series
These six learning objects allow students to explore the mathematical concepts of cost estimates, data analysis, cost time graphs, line graphs and tables in relation to assisting students to effectively manage the cost of their mobile phones. Students apply critical literacy and numeracy skills to use comparative costs to justify their selection of phone services.
The student compares the monthly call plans of one company to recommend the best plan for one person (L1108, L1109), compares the call costs quoted by three companies (L1107) and find the best deal for three people (L762) comparing two companies) L763 (comparing three companies) and L1110 comparing several companies).
Media Clips
Australian Currency
Interpreting data, graphs and tables
Data is a collection of facts, such as values or measurements.
Here we have a table of data about what sport people play at a school.
[pic]
Graphs are diagrams of values, usually shown as lines or bars.
[pic]
Tables are numbers or quantities arranged in rows and columns
Fact Sheets and Information
BBC Skillswise – Data
Presenting data in different ways
Collecting information and presenting it as a list
Pictograms
Tables
Tally tables
BBC Skillwise – Tables
Introducing lists and tables
Listing information
Reading tables 1
Lists and tables glossary
Using clear labels on your tables
BBC Skillwise – Graphs
Bar charts
Comparing data using bar charts
Reading bar charts
Reading scales
Using clear labels on your chart or diagram
Worksheets
Australian Bureau of Statistics – Census at School Australia
BBC Skillswise – Data
Create your own bar chart
Presenting data in a bar chart
Representing data in a pictogram
BBC Skillwise – Tables
Creating your own table
Finding information in a table 1
Extracting information from a menu
BBC Skillwise – Graphs
Creating a bar chart
Extracting information from pictograms
Interpreting a bar chart
Extracting information from bar charts – football results
Extracting information from bar charts – pizza sales
Interpreting a pictogram
Spotting errors in charts and tables
Interactive Games
Handling data game
Decimaster Match-up
Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on a range of visual scales and other representations. Work through these representations in any order: common fraction, number line, counting frame, dial, array and pie chart. Match three decimals with each tool. This learning object is one in a series of nine objects.
Filling glasses: find the right glass
Look closely at some line graphs. Examine the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Choose the glass shape that matches a line graph representing its filling rate. This learning object is one in a series of five objects.
Triathlon
Watch triathletes performing in swimming, cycling and running legs of a triathlon. See how distance-time graphs are used to represent and compare race performances. Examine axis units, scales and gradients to compare course and performance variables. For example, notice that a flat line on a graph shows that an athlete is resting or preparing for the next stage. This learning object is one in a series of four objects.
Media Clips
Graphs of Life
Types of Data
The Easy Way to Learn Graphing
How to Create a Graph
Consolidate Number Skills
Record of On-Line Learning
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* PLEASE KEEP A PRINTED COPY OF ALL COMPLETED WORKSHEETS
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Consolidate Number Skills
Projects
Well done!! – You are now ready to put all your learning into action in the PROJECT section. This is where you get to use your number skills and knowledge.
There are a whole range of different mini projects to choose from. You will need to keep all your work and clearly show every stage of the mini projects so that your facilitator can see the skills you have used.
If you can’t find some projects that interest you, have a chat with your facilitator and design your own.
It’s OK if you want to do this work with a partner – just make sure you both keep the evidence of your work!!
The details:
← You need to do at least 4 projects for this unit of work.
← Each project needs to contain loads of information and should take at least 3-4 hours or more of work
← The ideas are a guide only and you will need to add to this information.
← Keep a record of all the work you have done – including your calculations and the processes you used to determine the answers.
← Think about how you want to present your work. This can be paper based (report, poster, brochure etc) or you might want to use some technology (eg PowerPoint, podcast, media clip etc).
← There is an assessment process which includes a self assessment that needs to be done at the end of every project.
List of Projects:
← Buying a car
← Calories / kilojoules
← Planning a party
← Spend a Million $$
← Shopping
← Planning your holiday
← Buying a pet
← The sports report
← The weather
Consolidate Number Skills
Project Assessment
Name:________________________________________ TAFESA ID Number:________________
Name of project:
________________________________________________________________________________
Brief description of project
________________________________________________________________________________
________________________________________________________________________________
________________________________________________________________________________
|Checklist |Date |Signed |
|Used a variety of maths skills from the Consolidate Number Skills unit | | |
|Demonstrated estimation skills | | |
|Produced detailed data, graphs and tables | | |
|Used the 4 processes ( + - x ÷) | | |
|Presented information clearly with all “working out” included | | |
|Produced a clear and comprehensive final presentation | | |
Self Reflection
-----------------------
Buying a Car
Buying a car can be really exciting, but it can also be really expensive and you need to do your research.
• Read advertisements for car and select the make and model that will suit your needs.
• Research the operating and maintenance costs too.
• Find out the interest rates for car loans and work out the repayments you would need to make for your car.
• Check the costs of installing some non-standard feature eg a great stereo, or some nice wheels.
• You might want to investigate 2 different car that cost 2 different prices.
Calories / kilojoules
We get calories / kilojoules for the food we eat. This is either stored as food or used up as energy. Investigate the intake of your calories / kilojoules over a week and also how much energy you are using.
• Keep a data base or table of everything you eat and drink for a week and all the activities you do.
• Research calories / kilojoules (intake and also how much you burn doing various activities).
• Be a food label reader and investigate what all the info on the labels actually means.
• Graph this data and interpret the information.
Planning a party
Planning a party can be loads of fun, but there is a lot to think about such as:
• Developing a budget
• Venue – cost, size, do you have to pay for cleaning or a bond?
• Food - how much to buy?
• Research whether you will need security. If so, find out cost, time, number of personnel etc.
• Time – start and finish time, council curfews for noise
• Invitations and decorations
Spend a Million$$
You have been given 1 million dollars to spend, but there are a few rules you need to follow.
You need to make sure that…
• You spend every cent or the money without going over or under
• That you give a percentage of your money to charity
• All money spent needs to be recorded on a spreadsheet
• You need to be able to justify all your purchases and you need to buy a minimum of 100 things
• You need to graph and represent all of your purchases graphically and do a presentation about this information.
Shopping
We all love to go shopping, but you need to work out a budget and stick to it so you don’t get into debt.
• Research and find your dream job and work out approximately how much you would earn per year. What would be an appropriate % to spend each month on clothes? Think about the clothing requirement of your job too.
• Collect catalogues or go on-line and work out what you would buy that was within your budget. Keep in mind that you need to buy complete outfits!!
• What would the repayments on a credit card be if you paid by credit.
Planning your holiday
Time to go on a holiday. You have been working hard and have saved some money. You have $10,000 and you want to go overseas for 3 months.
• Plan your trip – where you will go and what you will see (Develop an itinerary)
• Research flights and travel
• Think about accommodation and plan where you will be staying and the cost of the accommodation
• What about the extras like insurance, luggage, things to do while you are there (tourist activities), passport, immunisations.
• Don’t forget to check out the excellent travel site on-line.
The Weather
Here is a chance to practice your skills of observation, analysis and interpretation I relation to the weather.
• Record and chart the weather condition in 2 different places over a period of 7 days. You might want to choose your local area and a different place from another part of the world.
• Record things like temperature, wind speed, tide times, precipitation, cloud cover etc
• Record this information in a table and graph the results.
• Make comparisons between the 2 places you have chosen.
• There are a huge range of on-line sites to support this project, but check out the Bureau of Meteorology first!
Buying a Pet
You have always wanted a pet of your own, but being a pet owner requires some responsibility and also some money.
• Research the perfect pet for you. Think about where you like, the time you have to care for a pet and also the rules and regulations of where you live in relation to pets
• Estimate the cost of keeping a pet first and then work out the purchase price, pet supplies, and ongoing food and care for your pet. Don’t forget to factor in licences if you are thinking of a more exotic pet.
• Research vet care for your pet, including de-sexing, worming etc
• Compare the price of 2 different types of pets and record/graph your results.
•
The Sports Report
If you are a sports fan or have a favourite sport or sporting team, you might like to:
• Research sports stars from your favourite team – their stats and their income. Compare a few different players and compare averages, physical characteristics, games played etc
• Research your favourite team and think about all the maths that happens during the game – record this info
• Record as many statistics as you can about your chosen game and think about the purpose of these statistics
• Record percentages for each of the players eg in footy 5 of touches for the game etc
• Present this information as an oral presentation or a report and include all the data and graphs.
Things I learnt were:
Things I did well:
Things I could have done better:
................
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