LCA Mathematical Applications

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Through a single class-chosen project (decorate a room, build a set for the school play, renovate an outdoor space, design a playground, or build a scaled model), students apply MCS 1 to 5 to represent authentic planning decisions with mathematics. They measure a real space, produce scaled drawings, conduct market research, compare suppliers, build a project budget, make value-for-money judgements, and write up the plan. Lessons follow the SEC unit structure of Researching and Planning and Budgeting, then deepen the MCS work and walk through the 5-stage Key Assignment case-study cycle. Every lesson banks a concrete portfolio artifact.

Researching and Planning
Welcome to MA1: Picking the Project and Setting up the Portfolio
What Does Plan Mean in Maths?
Measuring the Space (1): Length, Perimeter, Area
Measuring the Space (2): Combined Shapes
Scaled Drawings (1): Reading a Scale
Scaled Drawings (2): Drawing Your Space
What Is Market Research in Maths?
Sources of Data: Catalogues, Websites, Brochures, Quotes
Gathering the Data (1): Pricing and Specifications
Reading Tables and Charts
Unit Pricing and Volume Discounts
Comparing Suppliers
Surveys: Sampling Preferences
Presenting Findings and First Conclusions
Budgeting
What Is a Budget?
Building the Project Budget (1): Line Items
Building the Project Budget (2): Categories, Totals, and Accuracy
Spreadsheet Vs Paper Budget
Ratio, Proportion, and Scaling the Budget
Value for Money: Making the Call
Deeper MCS Work: Drawing, Volume, Angles, Relationships
Scaled Drawings (3): Final Plan at Scale
Volume, Nets, and 3D Thinking
Angles and Pythagoras in Planning
Linear Relationships in Budgeting
Key Assignment Workshop and Module Exam Prep
KA Workshop (1): Finding Out
KA Workshop (2): Collecting, Comparing, Calculating
KA Workshop (3): Interpretation and Making Judgements
Writing the Project Report (Communicating Part 1)
Finalising the Report (Communicating Part 2) and KA Submission
Module Exam Prep: Planning Problems in Context

Students apply MCS 1 to 5 to two real-world contexts: a current affairs issue chosen by the class (housing, transport, school council, canteen) and a planned event (a holiday, school show, sporting trip, or commemoration). The statistical investigation strand lives most strongly in this module. Students design a survey, gather data, chart it, critique misuses of statistics, then build a costed itinerary and event budget. Lessons walk through the SEC two-unit structure of Current Affairs and Travel/Recreation before concluding with the 5-stage Key Assignment cycle.

Current Affairs
Welcome to MA2: Pick the Current Affairs Context
Spotting Maths in a News Story
Designing a Statistical Question
Designing the Survey (1): Questions and Options
Designing the Survey (2): Sampling
Running the Survey
Tallying and Tabulating
Bar Charts and Pie Charts
Trend Graphs and Histograms
Summary Statistics: Mean, Median, Mode, Range
Choosing the Right Chart
Misleading Statistics
Interpreting Voting Data
Writing up the Investigation
Travel and Recreation
Picking the Event
Reading Timetables
Speed, Distance, Time
Exchange Rates and Foreign Currency
Comparing Package Vs DIY
Insurance and Risk
Deeper MCS Work: Itinerary, Budget, and Linear Relationships
Building the Itinerary (1)
Building the Itinerary (2): Costs and Timings
Budgeting the Event
Linear Relationships in Event Costs
Key Assignment Workshop and Module Exam Prep
KA Workshop (1): Finding Out
KA Workshop (2): Collecting, Comparing, Calculating
KA Workshop (3): Interpretation and Making Judgements
Communicating (1): Charts, Tables, and Visual Summary
Communicating (2): Written Report and KA Submission
Module Exam Prep: World Around Me Problems

Students apply MCS 1 to 5 to two life-skills areas: a personal budget anchored on a real personal goal (saving for a phone, a car, moving out) and a healthy-lifestyle project (couch-to-5k, a strength programme, a nutrition plan, a sleep or screen-time audit). The module is the most individual of the four. Lessons cover personal-finance fundamentals (income, fixed and variable expenses, bills, savings products, big commitments) and healthy-life maths (activity tracking, training plans, simple health formulae, nutrition labels and ratios), then walk through the Key Assignment cycle.

Personal Finance
Welcome to MA3: Where Does Your Money Go?
Building Your Personal Budget (1): Income
Building Your Personal Budget (2): Fixed Expenses
Building Your Personal Budget (3): Variable Expenses
Personal Budget Balance and Saving Toward the Goal
Reading a Bill: Electricity
Comparing Financial Products
Big Commitments: Renting Vs Living at Home
Big Commitments: Buying a Car
Big Commitments: Phone Upgrade
Healthy Life Choices
Switching to Healthy Life Choices
Tracking Steps and Activity
Training Plans and Couch-to-5k
Simple Health Formulae
Nutrition Labels and Ratios
Reading Nutrition Charts
Scaled Diagrams of Spaces
Cost of a Healthy Choice
Comparing Healthy Options
Communicating Health Data with a Chart
Deeper MCS Work: Borrowing, Finance Options, Heart Rate, Progress Graphs
APR and the Cost of Borrowing
Hire Purchase Vs PCP
Heart-rate Zones and Training Intensity
Tracking a Goal with a Graph
Key Assignment Workshop and Module Exam Prep
KA Workshop (1): Finding Out
KA Workshop (2): Collecting, Comparing, Calculating
KA Workshop (3): Interpretation and Making Judgements
Communicating (1): Chart and One-page Summary
Communicating (2): Written Report and KA Submission
Module Exam Prep: Life-skills Problems

Students apply MCS 1 to 5 to the world of work: analysing income and expenditure, creating estimates including materials, labour, taxes and profit margin, interpreting wages, time worked, holidays and payslips, and comparing job contracts. The module sits directly on top of Vocational Preparation and the Vocational Specialisms. Lessons cover payslip literacy, the six components of a job estimate, contract reading and comparison, and the 5-stage Key Assignment cycle. The course closes with full-course exam prep drawing on the SEC past papers.

Foundations: Income, Expenditure, and the Payslip
Welcome to MA4: Pick the Work Context
Income and Expenditure: the Business View
Hourly Rates and Basic Pay
Overtime and Premium Rates
Reading a Payslip (1)
Reading a Payslip (2): PAYE, PRSI, USC
Tax Credits and Net Pay
Holiday Pay and Paid Leave
Analysing a Pay Trend
Communicating Pay Information
Estimating a Job
What Goes Into an Estimate?
Costing Materials
Costing Labour
Overheads: the Hidden Costs
Profit Margin: Markup Vs Margin
VAT and the Final Price
Comparing Two Estimates
Working Backwards: What Must I Charge?
Cash Flow: Why Profitable Jobs Still Fail
Writing the Estimate Document
Contracts and Deeper MCS Work
Reading an Employment Contract
Comparing Two Job Offers
Self-employed Vs Employed
Linear Relationships in Work Income
Key Assignment Workshop and Full-course Exam Prep
KA Workshop (1): Finding Out
KA Workshop (2): Collecting, Comparing, Calculating
KA Workshop (3): Interpretation and Making Judgements
Communicating (1): Customer-facing Document
Communicating (2): Written Report and KA Submission
Full-course Exam Prep

Through a single class-chosen project (decorate a room, build a set for the school play, renovate an outdoor space, design a playground, or build a scaled model), students apply MCS 1 to 5 to represent authentic planning decisions with mathematics. They measure a real space, produce scaled drawings, conduct market research, compare suppliers, build a project budget, make value-for-money judgements, and write up the plan. Lessons follow the SEC unit structure of Researching and Planning and Budgeting, then deepen the MCS work and walk through the 5-stage Key Assignment case-study cycle. Every lesson banks a concrete portfolio artifact.

Researching and Planning
Welcome to MA1: Picking the Project and Setting up the Portfolio
What Does Plan Mean in Maths?
Measuring the Space (1): Length, Perimeter, Area
Measuring the Space (2): Combined Shapes
Scaled Drawings (1): Reading a Scale
Scaled Drawings (2): Drawing Your Space
What Is Market Research in Maths?
Sources of Data: Catalogues, Websites, Brochures, Quotes
Gathering the Data (1): Pricing and Specifications
Reading Tables and Charts
Unit Pricing and Volume Discounts
Comparing Suppliers
Surveys: Sampling Preferences
Presenting Findings and First Conclusions
Budgeting
What Is a Budget?
Building the Project Budget (1): Line Items
Building the Project Budget (2): Categories, Totals, and Accuracy
Spreadsheet Vs Paper Budget
Ratio, Proportion, and Scaling the Budget
Value for Money: Making the Call
Deeper MCS Work: Drawing, Volume, Angles, Relationships
Scaled Drawings (3): Final Plan at Scale
Volume, Nets, and 3D Thinking
Angles and Pythagoras in Planning
Linear Relationships in Budgeting
Key Assignment Workshop and Module Exam Prep
KA Workshop (1): Finding Out
KA Workshop (2): Collecting, Comparing, Calculating
KA Workshop (3): Interpretation and Making Judgements
Writing the Project Report (Communicating Part 1)
Finalising the Report (Communicating Part 2) and KA Submission
Module Exam Prep: Planning Problems in Context

Students apply MCS 1 to 5 to two real-world contexts: a current affairs issue chosen by the class (housing, transport, school council, canteen) and a planned event (a holiday, school show, sporting trip, or commemoration). The statistical investigation strand lives most strongly in this module. Students design a survey, gather data, chart it, critique misuses of statistics, then build a costed itinerary and event budget. Lessons walk through the SEC two-unit structure of Current Affairs and Travel/Recreation before concluding with the 5-stage Key Assignment cycle.

Current Affairs
Welcome to MA2: Pick the Current Affairs Context
Spotting Maths in a News Story
Designing a Statistical Question
Designing the Survey (1): Questions and Options
Designing the Survey (2): Sampling
Running the Survey
Tallying and Tabulating
Bar Charts and Pie Charts
Trend Graphs and Histograms
Summary Statistics: Mean, Median, Mode, Range
Choosing the Right Chart
Misleading Statistics
Interpreting Voting Data
Writing up the Investigation
Travel and Recreation
Picking the Event
Reading Timetables
Speed, Distance, Time
Exchange Rates and Foreign Currency
Comparing Package Vs DIY
Insurance and Risk
Deeper MCS Work: Itinerary, Budget, and Linear Relationships
Building the Itinerary (1)
Building the Itinerary (2): Costs and Timings
Budgeting the Event
Linear Relationships in Event Costs
Key Assignment Workshop and Module Exam Prep
KA Workshop (1): Finding Out
KA Workshop (2): Collecting, Comparing, Calculating
KA Workshop (3): Interpretation and Making Judgements
Communicating (1): Charts, Tables, and Visual Summary
Communicating (2): Written Report and KA Submission
Module Exam Prep: World Around Me Problems

Students apply MCS 1 to 5 to two life-skills areas: a personal budget anchored on a real personal goal (saving for a phone, a car, moving out) and a healthy-lifestyle project (couch-to-5k, a strength programme, a nutrition plan, a sleep or screen-time audit). The module is the most individual of the four. Lessons cover personal-finance fundamentals (income, fixed and variable expenses, bills, savings products, big commitments) and healthy-life maths (activity tracking, training plans, simple health formulae, nutrition labels and ratios), then walk through the Key Assignment cycle.

Personal Finance
Welcome to MA3: Where Does Your Money Go?
Building Your Personal Budget (1): Income
Building Your Personal Budget (2): Fixed Expenses
Building Your Personal Budget (3): Variable Expenses
Personal Budget Balance and Saving Toward the Goal
Reading a Bill: Electricity
Comparing Financial Products
Big Commitments: Renting Vs Living at Home
Big Commitments: Buying a Car
Big Commitments: Phone Upgrade
Healthy Life Choices
Switching to Healthy Life Choices
Tracking Steps and Activity
Training Plans and Couch-to-5k
Simple Health Formulae
Nutrition Labels and Ratios
Reading Nutrition Charts
Scaled Diagrams of Spaces
Cost of a Healthy Choice
Comparing Healthy Options
Communicating Health Data with a Chart
Deeper MCS Work: Borrowing, Finance Options, Heart Rate, Progress Graphs
APR and the Cost of Borrowing
Hire Purchase Vs PCP
Heart-rate Zones and Training Intensity
Tracking a Goal with a Graph
Key Assignment Workshop and Module Exam Prep
KA Workshop (1): Finding Out
KA Workshop (2): Collecting, Comparing, Calculating
KA Workshop (3): Interpretation and Making Judgements
Communicating (1): Chart and One-page Summary
Communicating (2): Written Report and KA Submission
Module Exam Prep: Life-skills Problems

Students apply MCS 1 to 5 to the world of work: analysing income and expenditure, creating estimates including materials, labour, taxes and profit margin, interpreting wages, time worked, holidays and payslips, and comparing job contracts. The module sits directly on top of Vocational Preparation and the Vocational Specialisms. Lessons cover payslip literacy, the six components of a job estimate, contract reading and comparison, and the 5-stage Key Assignment cycle. The course closes with full-course exam prep drawing on the SEC past papers.

Foundations: Income, Expenditure, and the Payslip
Welcome to MA4: Pick the Work Context
Income and Expenditure: the Business View
Hourly Rates and Basic Pay
Overtime and Premium Rates
Reading a Payslip (1)
Reading a Payslip (2): PAYE, PRSI, USC
Tax Credits and Net Pay
Holiday Pay and Paid Leave
Analysing a Pay Trend
Communicating Pay Information
Estimating a Job
What Goes Into an Estimate?
Costing Materials
Costing Labour
Overheads: the Hidden Costs
Profit Margin: Markup Vs Margin
VAT and the Final Price
Comparing Two Estimates
Working Backwards: What Must I Charge?
Cash Flow: Why Profitable Jobs Still Fail
Writing the Estimate Document
Contracts and Deeper MCS Work
Reading an Employment Contract
Comparing Two Job Offers
Self-employed Vs Employed
Linear Relationships in Work Income
Key Assignment Workshop and Full-course Exam Prep
KA Workshop (1): Finding Out
KA Workshop (2): Collecting, Comparing, Calculating
KA Workshop (3): Interpretation and Making Judgements
Communicating (1): Customer-facing Document
Communicating (2): Written Report and KA Submission
Full-course Exam Prep

Curriculum Mapping

See exactly how this course maps to official curriculum specifications

LCA - Mathematical Applications Module Descriptor

Curriculum Area

Outcomes

Module 1: Mathematics and Planning

Unit 1: Researching and planning

M1.U1.1 M1.U1.2 M1.U1.3

Unit 2: Budgeting

M1.U2.1 M1.U2.2 M1.U2.3 M1.U2.4

Module 2: Mathematics and the World Around Me

Unit 1: Current Affairs

M2.U1.1 M2.U1.2 M2.U1.3

Unit 2: Travel and Recreation

M2.U2.1 M2.U2.2 M2.U2.3 M2.U2.4

Module 3: Mathematics and Life Skills

Unit 1: Personal Finance

M3.U1.1 M3.U1.2 M3.U1.3 M3.U1.4

Unit 2: Healthy Life Choices

M3.U2.1 M3.U2.2 M3.U2.3 M3.U2.4 M3.U2.5

Module 4: Mathematics and Work

M4.U1.1 M4.U1.2 M4.U1.3 M4.U1.4

The curriculum does not include official reference codes for individual learning outcomes, so we have assigned a code scheme to make it easier to identify and track coverage.

What Students Will Learn

Learning Goals

Develop mathematical planning skills by framing problems, identifying unknowns, conducting research, and creating scaled drawings and budgets for real-world projects
Apply measurement, geometry, ratio, proportion, and scaling techniques to solve practical problems involving space, materials, and costs
Collect, organise, analyse, and interpret data using surveys, tables, charts, and summary statistics to support informed decision-making
Build, analyse, and adjust budgets while evaluating value for money, risk, and proportional changes in personal, event, and business contexts
Communicate mathematical findings and justified recommendations clearly through visual summaries, reports, and structured portfolios

Learning Outcomes

Construct an Unknowns Map and scaled drawings of a project space, accurately calculating perimeter, area of combined shapes, and converting between metres and centimetres.
Gather, organise and compare real data from catalogues, websites and suppliers, converting to unit prices, applying discounts, and building a supplier-comparison table.
Develop a detailed project budget with at least 15 line items, group into categories, apply contingency, use spreadsheets for recalculation, and scale quantities proportionally when over budget.
Design, conduct and analyse a short survey, then summarise key findings using appropriate tables, charts and written interpretations to support project decisions.
Produce a justified project report and KA evidence folder demonstrating the full 5-stage cycle: finding out, collecting/comparing/calculating, interpreting, judging and communicating mathematically.

What You'll Need

Student Devices

Students will need one of these devices. Students can share in groups of 2-3 if necessary.

Chromebook/Laptop/PC

iPad/Tablet

Required Equipment

Equipment used in some of the lessons in this course. Items can be shared among students.

IWB/Projector/Large Screen

Explore the Course

1 MA1: Mathematics and Planning 30 lessons

2 MA2: Mathematics and the World Around Me 30 lessons

3 MA3: Mathematics and Life Skills 30 lessons

4 MA4: Mathematics and Work 30 lessons