@SMARTSTUDYRO
MATH
MATH LITERACY
@SMARTSTUDYRO
LITERACY
GR
GR 12
12
PAPER
PAPER 11
IEB/CAPS
IEB/CAPS
1
,PAPER
PAPER 11
FINANCE
FINANCE 60%
DATA
60% (±
DATA HANDLING
(± 5)
5)
HANDLING (35%
PROBABILITY
PROBABILITY 5%
5%
(35% ±± 5)
5)
150
150 MARKS
MARKS
33 HOURS
HOURS
FINANCE
FINANCE 60% 60% (±(± 5)
5)
DATA
DATA HANDLING
HANDLING (35%
(35% ±± 5)
5)
1.1. FINANCIAL
FINANCIAL DOCUMENTS
DOCUMENTS (TAX
(TAX
1.1. COLLECTING
COLLECTING DATA
DATA
INVOICE,TILL
INVOICE,TILL
2.2. CLASSIFYING
CLASSIFYING AND
AND ORGANISING
ORGANISING DATA
DATA
SLIP,PAYSLIP,QUOTATION,STATEMEN
SLIP,PAYSLIP,QUOTATION,STATEMEN 3.3. SUMMARISING
SUMMARISING DATA(MEASURES
DATA(MEASURES OF OF CENTRAL
CENTRAL
T)T) TENDENCY
TENDENCY AND AND SPREAD)
SPREAD)
2.2. INCOME,
INCOME, EXPENDITURE,
EXPENDITURE, 4.4. REPRESENTING
REPRESENTING DATA
DATA
PROFIT/LOSS,
PROFIT/LOSS, INCOME-AND
INCOME-AND (( • PIE
PIE CHARTS
CHARTS
EXPENDITURE,
EXPENDITURE, STATEMENTS
STATEMENTS ANDAND • HISTOGRAMS
HISTOGRAMS
BUDGETS.
BUDGETS. • SINGLE
SINGLE BAR
BAR GRAPHS
GRAPHS
3.3. COST
COST PRICE
PRICE VS
VS SELLING
SELLING PRICE
PRICE • LINELINE AND
AND BROKEN
BROKEN LINE
LINE GRAPHS
GRAPHS
4.4. BREAK-EVEN
BREAK-EVEN ANALYSIS
ANALYSIS • MULTIPLE
MULTIPLE BAR
BAR GRAPHS
GRAPHS AND
AND
5.5. TARIFF
TARIFF SYSTEMS
SYSTEMS COMPOUND/VERTICAL
COMPOUND/VERTICAL
6.6. INTERESTS,
INTERESTS, BANKING,
BANKING, LOANS,HIRE
LOANS,HIRE STACK
STACK GRAPHSGRAPHS
PURCHASE
PURCHASE AND AND INVESTMENTS
INVESTMENTS • SCATTER
SCATTER PLOT
PLOT GRAPHS
GRAPHS
7.7. INFLATION
INFLATION AND
AND EXCHANGE
EXCHANGE RATES
RATES • BOX-AND-WHISKER
BOX-AND-WHISKER PLOTS
PLOTS (INTERPRETATION
(INTERPRETATION
8.8. TAXATION
TAXATION (VAT
(VAT && UIF
UIF ONLY)
ONLY)
5.5. INTERPRETING
INTERPRETING AND
AND ANALYSING
ANALYSING
@SMARTSTUDYPRO
@SMARTSTUDYPRO
2
,How
How it
it will
will be
be tested
tested
General Exam Skills & Approach
Practice at least 10 past papers
Understand difference between Mathematical Literacy and Mathematics
Read all information carefully before answering
Check if solutions make sense
Communicate answers clearly with correct units
Show all working and methods
Round answers appropriately (round only at the end)
Justify comparisons and opinions with calculations or problem info
Foundational Mathematical Skills
Convert between word and number formats (especially money)
↔
Convert money values (cents rands, millions)
Perform basic percentage calculations
Substitute values into formulas
Estimate values from graphs or tables
Calculate percentage difference, increase, or decrease
Data Handling (approx. 35% of paper)
Collecting Data
Know data collection instruments (observation, interview, questionnaire,
survey)
Develop and use appropriate data collection forms
Understand populations vs samples and sampling effects
Read and complete questionnaires
Classifying & Organising Data
Understand categorical and numerical data (discrete and continuous)
Sort data by categories and intervals
Use tallies and frequency tables
Explain difference between discrete and continuous data
Complete frequency tables
Sort data in order
Count data values
Summarising Data
Understand mean, median, mode
Understand range, quartiles, interquartile range
Know impact of outliers
Understand strengths/limitations of averages and spread measures
Calculate and decide best average with reasons
Identify max and min values
Representing Data
Know graph types: pie charts, histograms, bar graphs, line graphs, scatter
plots, box-and-whisker plots
Interpret box plots
Draw graphs from data tables
Find missing pie chart percentages
Interpreting & Analysing Data
Question data collection, organisation, summary, representation for
bias/errors
Interpret graphs
Calculate percentages
3
,Finance (approx. 60% of paper)
Financial Documents & Calculations
Read info from bills, till slips, statements, budgets, pay slips, invoices
Calculate totals, VAT, income, expenditure, profit, loss
Determine VAT exclusive price and VAT value
Income, Expenditure, Profit/Loss & Budgets
Identify and calculate income, expenditure, profit, loss
Classify fixed, variable, occasional, high and low priority incomes and costs
Construct income and expenditure statements or budgets
Determine income generated
Cost Price vs. Selling Price
Calculate cost price by adding costs
Calculate percentage mark-up to compare cost and selling price
Break-Even Analysis
Determine break-even points by graphs, tables, or trial and improvement
Understand break-even values in context (units sold and money earned)
Know meaning and relevance of break-even points and graph regions
Compare costing options when costs are equal
Tariff Systems
Explain calculations on bills using formulas
Complete tables with missing values
Draw graphs from tables showing cost
Interests, Banking, Loans & Investments
Know difference between simple and compound interest
Understand hire-purchase agreements
Understand loan repayments (personal, student, car, house)
Explain interest and interest rate
Perform manual simple interest calculations
Read values from interest graphs
Identify interest rates on statements
Inflation & Exchange Rates
Understand inflation’s effect on purchasing power and investments
Relate inflation to compound interest
Interpret inflation rate graphs
Explain inflation and its effect on prices and money value
Work with foreign exchange rates from tables
Estimate currency values
Understand “strong” and “weak” currencies
Identify exchange rates and convert currencies
Taxation (VAT & UIF)
Understand key taxation terms (gross income, taxable deductions, net pay, tax rebate)
Explain payslip components
Identify income tax brackets
Increase values by percentage
AA Accuracy CA
CA Continued accuracy
MM Method MA
MA Method accuracy
MCA
MCA Method continued accuracy RR Rounding
4
, Grade 12 Mathematical Literacy Study List for June
and November Exam
Use this list to makesure youhave studied everything.Tickoff in the appropriate boxes
after you have studied for a certain paper. Remember that you must study everything for
each exam paper.
Jun Nov
Topic: BASIC SKILLS
P1 P2 P1 P2
* Basic calculations (order op operations; show all your steps;
includes calculations with calculator; number formats)
* Write common fractions as decimal fractions and decimal
fractions as common fractions
* Add, subtract, multiply and divide fractions without a calculator.
* Rounding off
* Decimal numbers and money
* Rounding off to whole numbers (people, building materials,
space issues, animals, etc.
* Rounding to the nearest 10, 100, 1 000, etc.
* Estimation (estimate answer of problem by rounding off
numbers and then doing calculation – only do this when asked)
* Formulas (must be able to substitute numbers into ANY given
formula and calculate the answer)
* Proportion
* Direct
* Indirect
* Percentages
* % of an amount
* Write fraction as %
* Increase/decrease an amount by a %
* Calculate % increase/decrease by using formula
* Original amount
* VAT calculations
* S % of a % of an amount
* Ratio
* Write quantities as a ratio and simplify
* Parts sum
* Calculating a part
Rate
*
* Speed-distance-time sums (remember to convert time!)
* Other rates, e.g. pay rate, fuel consumption, exchange rate,
etc.
Page 4 Karelien Kriel, June 2015©
5
, Jun Nov
Topic: MEASUREMENT AND CONVERSIONS
P1 P2 P1 P2
* Distance units: mm, cm, m and km
* Mass units: g, kg and t
* Temperature Units: C and F (formulae given)
* Area:
* cm2 to ml to litres and m2 to litres
* Convert between mm2, cm2 and m2 (conversions given)
* Volume units:
* ml and litres
* mm3, cm3 and m3 to ml and litres
* Convert between mm3, cm3 and m3 (conversions given)
* Spoons, cups and ml
* Time units:
* Sec, min, hours and days
* Days, weeks and months
Topic: PATTERNS AND RELATIONSHIPS (TABLES AND GRAPHS); Jun Nov
BREAK-EVEN ANALYSIS AND SMALL BUSINESS P1 P2 P1 P2
* Read properly and know how to write formulas from the words
(number patterns)
* Use formulas to set up your own tables or to complete given
tables
* Use values in tables to draw THREE line graphs on the same set
of axes. (E.g. compare 3 different photocopiers; compare 3
different cell phone packages, etc.)
Reading information from given tables and graphs and
interpreting it; describing trends and whether trends of different
lines correlate (follow the same pattern in general)
* Income: fixed, variable and occasional
* Expenses: fixed, variable and occasional
* Profit, loss and break-even
* Small Business:
* Budget
* Income-and-expenditure statement
* Cost price, profit and selling price
* Determine break-even point (graph)
* Informal small business
6
, Jun Nov
Topic: DATA HANDLING
P1 P2 P1 P2
* Types of data
* Numerical (continuous or discreet)
* Categorical
* Developing questions
* Populations and samples
* Instruments of data collection
* Collecting and organizing data
*Data tables
# Stem-and-leaf
# Frequency
* Measures of central tendency
# Mean
# Median
# Mode
# Which one is best? Mean, median or mode? (Outliers)
* Range
* Quartiles
# Interpret box-and-whisker and/or values in table
# Write sentences
# Inter-quartile range
* Percentiles
# Interpretation: sentences
# Growth charts and BMI (percentile graphs)
* Representing Data: Data graphs
* Compound broken line graphs
* Compound bar/column graphs
* Stacked bar graphs
* Histograms
* Pie charts
* Scatter plots
* Misleading graphs
# How to estimate when reading values off a graph that are not
on the line
# Interpretation / reasoning (full sentences)
* Opposing arguments
7
, Jun Nov
Topic: FINANCES - TAXATION
P1 P2 P1 P2
* VAT
* Calculate amount including VAT
* Calculate amount excluding VAT
* Calculate VAT
* UIF
* Income Tax
* Gross annual income
* Taxable deductions and non-taxable deductions
* Taxable income
* Income tax payable
* Tax threshold
* Tax rebates
* Medical tax credits
* Net annual income
* IRP5 Tax forms
Jun Nov
Topic: MAPS, PLANS AND TRAVELLING
P1 P2 P1 P2
* Travelling costs of a CAR
* Operating costs (fixed costs and running costs)
* Travelling costs of a BUS
* Map of South Africa
* Bus timetable and fare table
* Compass directions
* Know directions
* Lines of longitude and latitude
* Compass directions in house construction
* Scales
* Number scales
* Bar scales
* Calculate real distance / length
* Calculate distance / length on map / plan
* Advantages and disadvantages of number and bar scales
* Maps
* Measure distances on map
* Different types of maps
# street maps; # road maps; # layout maps
* Giving directions
* Give grid references
8
MATH
MATH LITERACY
@SMARTSTUDYRO
LITERACY
GR
GR 12
12
PAPER
PAPER 11
IEB/CAPS
IEB/CAPS
1
,PAPER
PAPER 11
FINANCE
FINANCE 60%
DATA
60% (±
DATA HANDLING
(± 5)
5)
HANDLING (35%
PROBABILITY
PROBABILITY 5%
5%
(35% ±± 5)
5)
150
150 MARKS
MARKS
33 HOURS
HOURS
FINANCE
FINANCE 60% 60% (±(± 5)
5)
DATA
DATA HANDLING
HANDLING (35%
(35% ±± 5)
5)
1.1. FINANCIAL
FINANCIAL DOCUMENTS
DOCUMENTS (TAX
(TAX
1.1. COLLECTING
COLLECTING DATA
DATA
INVOICE,TILL
INVOICE,TILL
2.2. CLASSIFYING
CLASSIFYING AND
AND ORGANISING
ORGANISING DATA
DATA
SLIP,PAYSLIP,QUOTATION,STATEMEN
SLIP,PAYSLIP,QUOTATION,STATEMEN 3.3. SUMMARISING
SUMMARISING DATA(MEASURES
DATA(MEASURES OF OF CENTRAL
CENTRAL
T)T) TENDENCY
TENDENCY AND AND SPREAD)
SPREAD)
2.2. INCOME,
INCOME, EXPENDITURE,
EXPENDITURE, 4.4. REPRESENTING
REPRESENTING DATA
DATA
PROFIT/LOSS,
PROFIT/LOSS, INCOME-AND
INCOME-AND (( • PIE
PIE CHARTS
CHARTS
EXPENDITURE,
EXPENDITURE, STATEMENTS
STATEMENTS ANDAND • HISTOGRAMS
HISTOGRAMS
BUDGETS.
BUDGETS. • SINGLE
SINGLE BAR
BAR GRAPHS
GRAPHS
3.3. COST
COST PRICE
PRICE VS
VS SELLING
SELLING PRICE
PRICE • LINELINE AND
AND BROKEN
BROKEN LINE
LINE GRAPHS
GRAPHS
4.4. BREAK-EVEN
BREAK-EVEN ANALYSIS
ANALYSIS • MULTIPLE
MULTIPLE BAR
BAR GRAPHS
GRAPHS AND
AND
5.5. TARIFF
TARIFF SYSTEMS
SYSTEMS COMPOUND/VERTICAL
COMPOUND/VERTICAL
6.6. INTERESTS,
INTERESTS, BANKING,
BANKING, LOANS,HIRE
LOANS,HIRE STACK
STACK GRAPHSGRAPHS
PURCHASE
PURCHASE AND AND INVESTMENTS
INVESTMENTS • SCATTER
SCATTER PLOT
PLOT GRAPHS
GRAPHS
7.7. INFLATION
INFLATION AND
AND EXCHANGE
EXCHANGE RATES
RATES • BOX-AND-WHISKER
BOX-AND-WHISKER PLOTS
PLOTS (INTERPRETATION
(INTERPRETATION
8.8. TAXATION
TAXATION (VAT
(VAT && UIF
UIF ONLY)
ONLY)
5.5. INTERPRETING
INTERPRETING AND
AND ANALYSING
ANALYSING
@SMARTSTUDYPRO
@SMARTSTUDYPRO
2
,How
How it
it will
will be
be tested
tested
General Exam Skills & Approach
Practice at least 10 past papers
Understand difference between Mathematical Literacy and Mathematics
Read all information carefully before answering
Check if solutions make sense
Communicate answers clearly with correct units
Show all working and methods
Round answers appropriately (round only at the end)
Justify comparisons and opinions with calculations or problem info
Foundational Mathematical Skills
Convert between word and number formats (especially money)
↔
Convert money values (cents rands, millions)
Perform basic percentage calculations
Substitute values into formulas
Estimate values from graphs or tables
Calculate percentage difference, increase, or decrease
Data Handling (approx. 35% of paper)
Collecting Data
Know data collection instruments (observation, interview, questionnaire,
survey)
Develop and use appropriate data collection forms
Understand populations vs samples and sampling effects
Read and complete questionnaires
Classifying & Organising Data
Understand categorical and numerical data (discrete and continuous)
Sort data by categories and intervals
Use tallies and frequency tables
Explain difference between discrete and continuous data
Complete frequency tables
Sort data in order
Count data values
Summarising Data
Understand mean, median, mode
Understand range, quartiles, interquartile range
Know impact of outliers
Understand strengths/limitations of averages and spread measures
Calculate and decide best average with reasons
Identify max and min values
Representing Data
Know graph types: pie charts, histograms, bar graphs, line graphs, scatter
plots, box-and-whisker plots
Interpret box plots
Draw graphs from data tables
Find missing pie chart percentages
Interpreting & Analysing Data
Question data collection, organisation, summary, representation for
bias/errors
Interpret graphs
Calculate percentages
3
,Finance (approx. 60% of paper)
Financial Documents & Calculations
Read info from bills, till slips, statements, budgets, pay slips, invoices
Calculate totals, VAT, income, expenditure, profit, loss
Determine VAT exclusive price and VAT value
Income, Expenditure, Profit/Loss & Budgets
Identify and calculate income, expenditure, profit, loss
Classify fixed, variable, occasional, high and low priority incomes and costs
Construct income and expenditure statements or budgets
Determine income generated
Cost Price vs. Selling Price
Calculate cost price by adding costs
Calculate percentage mark-up to compare cost and selling price
Break-Even Analysis
Determine break-even points by graphs, tables, or trial and improvement
Understand break-even values in context (units sold and money earned)
Know meaning and relevance of break-even points and graph regions
Compare costing options when costs are equal
Tariff Systems
Explain calculations on bills using formulas
Complete tables with missing values
Draw graphs from tables showing cost
Interests, Banking, Loans & Investments
Know difference between simple and compound interest
Understand hire-purchase agreements
Understand loan repayments (personal, student, car, house)
Explain interest and interest rate
Perform manual simple interest calculations
Read values from interest graphs
Identify interest rates on statements
Inflation & Exchange Rates
Understand inflation’s effect on purchasing power and investments
Relate inflation to compound interest
Interpret inflation rate graphs
Explain inflation and its effect on prices and money value
Work with foreign exchange rates from tables
Estimate currency values
Understand “strong” and “weak” currencies
Identify exchange rates and convert currencies
Taxation (VAT & UIF)
Understand key taxation terms (gross income, taxable deductions, net pay, tax rebate)
Explain payslip components
Identify income tax brackets
Increase values by percentage
AA Accuracy CA
CA Continued accuracy
MM Method MA
MA Method accuracy
MCA
MCA Method continued accuracy RR Rounding
4
, Grade 12 Mathematical Literacy Study List for June
and November Exam
Use this list to makesure youhave studied everything.Tickoff in the appropriate boxes
after you have studied for a certain paper. Remember that you must study everything for
each exam paper.
Jun Nov
Topic: BASIC SKILLS
P1 P2 P1 P2
* Basic calculations (order op operations; show all your steps;
includes calculations with calculator; number formats)
* Write common fractions as decimal fractions and decimal
fractions as common fractions
* Add, subtract, multiply and divide fractions without a calculator.
* Rounding off
* Decimal numbers and money
* Rounding off to whole numbers (people, building materials,
space issues, animals, etc.
* Rounding to the nearest 10, 100, 1 000, etc.
* Estimation (estimate answer of problem by rounding off
numbers and then doing calculation – only do this when asked)
* Formulas (must be able to substitute numbers into ANY given
formula and calculate the answer)
* Proportion
* Direct
* Indirect
* Percentages
* % of an amount
* Write fraction as %
* Increase/decrease an amount by a %
* Calculate % increase/decrease by using formula
* Original amount
* VAT calculations
* S % of a % of an amount
* Ratio
* Write quantities as a ratio and simplify
* Parts sum
* Calculating a part
Rate
*
* Speed-distance-time sums (remember to convert time!)
* Other rates, e.g. pay rate, fuel consumption, exchange rate,
etc.
Page 4 Karelien Kriel, June 2015©
5
, Jun Nov
Topic: MEASUREMENT AND CONVERSIONS
P1 P2 P1 P2
* Distance units: mm, cm, m and km
* Mass units: g, kg and t
* Temperature Units: C and F (formulae given)
* Area:
* cm2 to ml to litres and m2 to litres
* Convert between mm2, cm2 and m2 (conversions given)
* Volume units:
* ml and litres
* mm3, cm3 and m3 to ml and litres
* Convert between mm3, cm3 and m3 (conversions given)
* Spoons, cups and ml
* Time units:
* Sec, min, hours and days
* Days, weeks and months
Topic: PATTERNS AND RELATIONSHIPS (TABLES AND GRAPHS); Jun Nov
BREAK-EVEN ANALYSIS AND SMALL BUSINESS P1 P2 P1 P2
* Read properly and know how to write formulas from the words
(number patterns)
* Use formulas to set up your own tables or to complete given
tables
* Use values in tables to draw THREE line graphs on the same set
of axes. (E.g. compare 3 different photocopiers; compare 3
different cell phone packages, etc.)
Reading information from given tables and graphs and
interpreting it; describing trends and whether trends of different
lines correlate (follow the same pattern in general)
* Income: fixed, variable and occasional
* Expenses: fixed, variable and occasional
* Profit, loss and break-even
* Small Business:
* Budget
* Income-and-expenditure statement
* Cost price, profit and selling price
* Determine break-even point (graph)
* Informal small business
6
, Jun Nov
Topic: DATA HANDLING
P1 P2 P1 P2
* Types of data
* Numerical (continuous or discreet)
* Categorical
* Developing questions
* Populations and samples
* Instruments of data collection
* Collecting and organizing data
*Data tables
# Stem-and-leaf
# Frequency
* Measures of central tendency
# Mean
# Median
# Mode
# Which one is best? Mean, median or mode? (Outliers)
* Range
* Quartiles
# Interpret box-and-whisker and/or values in table
# Write sentences
# Inter-quartile range
* Percentiles
# Interpretation: sentences
# Growth charts and BMI (percentile graphs)
* Representing Data: Data graphs
* Compound broken line graphs
* Compound bar/column graphs
* Stacked bar graphs
* Histograms
* Pie charts
* Scatter plots
* Misleading graphs
# How to estimate when reading values off a graph that are not
on the line
# Interpretation / reasoning (full sentences)
* Opposing arguments
7
, Jun Nov
Topic: FINANCES - TAXATION
P1 P2 P1 P2
* VAT
* Calculate amount including VAT
* Calculate amount excluding VAT
* Calculate VAT
* UIF
* Income Tax
* Gross annual income
* Taxable deductions and non-taxable deductions
* Taxable income
* Income tax payable
* Tax threshold
* Tax rebates
* Medical tax credits
* Net annual income
* IRP5 Tax forms
Jun Nov
Topic: MAPS, PLANS AND TRAVELLING
P1 P2 P1 P2
* Travelling costs of a CAR
* Operating costs (fixed costs and running costs)
* Travelling costs of a BUS
* Map of South Africa
* Bus timetable and fare table
* Compass directions
* Know directions
* Lines of longitude and latitude
* Compass directions in house construction
* Scales
* Number scales
* Bar scales
* Calculate real distance / length
* Calculate distance / length on map / plan
* Advantages and disadvantages of number and bar scales
* Maps
* Measure distances on map
* Different types of maps
# street maps; # road maps; # layout maps
* Giving directions
* Give grid references
8
