Get help with Mathematics, Secondary 5 (Cultural, Social and Technical)
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The official Quebec Mathematics, Secondary 5 (Cultural, Social and Technical) curriculum
Quebec defines Mathematics, Secondary 5 (Cultural, Social and Technical) by strands and outcomes. MapleMind teaches the same curriculum reorganized for one-skill-at-a-time tutoring — the table shows exactly where every official strand lands, and the ministry's own wording is quoted under each unit below.
Official source Québec's official education programRead it on the government site — quebec.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Strand A | 2 | Arithmetic |
| Strand B | 9 | Algebra |
| Strand C | 11 | Probability |
| Strand E | 6 | Geometry |
| Strand F | 1 | Analytic Geometry |
| Strand G | 10 | Discrete Mathematics |
| Strand H | 5 | Financial mathematics |
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How MapleMind teaches Mathematics, Secondary 5 (Cultural, Social and Technical) — every unit, lesson, and skill
Every skill below runs as a short session: a plain-words lesson, a worked example, solving it together, then a five-question skill check that earns up to three stars. Guided Mode keeps it teaching instead of answer-handing — turning it off needs a parent's password.
Unit 1ArithmeticOfficial strand · Strand A
The PDA Arithmetic branch, taught in the Cultural, Social and Technical sequence register (mathematics for informed social, consumer and financial decisions (Quebec CST program: "purchasing goods and balancing their budget")).
Writes numbers in logarithmic notation
- Writes numbers in logarithmic notation using the equivalence log_a x = n ⇔ a^n = xARITH.N11.h — The student carries out: numbers in logarithmic notation using the equivalence loga x = n an = x, if necessary — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Manipulates numerical expressions involving powers, exponents and radicals
- Manipulates numerical expressions involving powers (change of base), exponents and radicals (nth root), using their propertiesARITH.N14.b — The student carries out: powers of bases (change of base), exponents, radicals (nth root), using their properties — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
The official wording — 2 outcomes in this unit
- ARITH.N11.h
numbers in logarithmic notation using the equivalence loga x = n an = x, if necessary
- ARITH.N14.b
powers of bases (change of base), exponents, radicals (nth root), using their properties
Unit 2AlgebraOfficial strand · Strand B
The PDA Algebra branch, taught in the Cultural, Social and Technical sequence register (mathematics for informed social, consumer and financial decisions (Quebec CST program: "purchasing goods and balancing their budget")).
Solves exponential, logarithmic and square root equations and inequalities
- Solves exponential, logarithmic and square root equations and inequalities using the properties of exponents, logarithms and radicalsALG.N11.b — The student carries out: exponential, logarithmic or square root, using the properties of exponents, logarithms and radicals — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Analyzes a first-degree inequality in two variables
- Analyzes a first-degree inequality in two variablesALG.N14.a — The student carries out: first-degree inequality in two variables — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Analyzes and models situations to be optimized
- Solves inequalities when analyzing a situation to be optimizedALG.N1.b.2 — The student carries out: inequalities — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Models a situation verbally, algebraically, graphically, using a table of values or a scatter plotALG.N1.5 — The student carries out: Models a situation verbally, algebraically, graphically, using a table of values or a scatter — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Optimizes a situation under constraints
- Uses inequalities when optimizing a situationALG.N2.b — The student carries out: inequalities — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Optimizes a situation by taking into account different constraints and makes decisions with respect to this situation determining the best solution(s) for a particular situation, given a set of possibilities validating and interpreting the optimal solution, depending on the context justifying the solution(s) chosen changing certain conditions associated with the situation to provide a more optimal solution, if necessaryALG.N2.3 — The student carries out: Optimizes a situation by taking into account different constraints and makes decisions with respect to this situation determining the best solution(s) for a particular situation, given a set of possibilities validating and interpreting the optimal solution, depending on the context justifying the solution(s) chosen changing certain conditions associated with the situation to provide a more optimal solution, if necessary — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Finds the rule of a function or its inverse, depending on the contextALG.N2.5 — The student carries out: Finds the rule of a function or its inverse, depending on the context — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Solves systems of inequalities and interprets parameters
- Solves systems of first-degree inequalities in two variablesALG.N4.a.4 — The student carries out: of first-degree inequalities in two variables — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Interprets parameters (multiplicative or additive) and describes the effect of changing their valuesALG.N4.2 — The student carries out: Interprets parameters (multiplicative or additive) and describes the effect of changing — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
The official wording — 9 outcomes in this unit
- ALG.N11.b
exponential, logarithmic or square root, using the properties of exponents, logarithms and radicals
- ALG.N14.a
first-degree inequality in two variables
- ALG.N1.b.2
inequalities
- ALG.N1.5
Models a situation verbally, algebraically, graphically, using a table of values or a scatter
- ALG.N2.b
inequalities
- ALG.N2.3
Optimizes a situation by taking into account different constraints and makes decisions with respect to this situation determining the best solution(s) for a particular situation, given a set of possibilities validating and interpreting the optimal solution, depending on the context justifying the solution(s) chosen changing certain conditions associated with the situation to provide a more optimal solution, if necessary
- ALG.N2.5
Finds the rule of a function or its inverse, depending on the context
- ALG.N4.a.4
of first-degree inequalities in two variables
- ALG.N4.2
Interprets parameters (multiplicative or additive) and describes the effect of changing
Unit 3ProbabilityOfficial strand · Strand C
The PDA Probability branch, taught in the Cultural, Social and Technical sequence register (mathematics for informed social, consumer and financial decisions (Quebec CST program: "purchasing goods and balancing their budget")).
Distinguishes dependent and independent events and quantifies probabilities
- Distinguishes between dependent and independent events and quantifies probabilities using fractions, decimals or percentagesPROB.N12 — The student carries out: between dependent and independent events Uses fractions, decimals or percentages to quantify a probability — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Calculates mathematical expectationPROB.N12.2 — The student carries out: Calculates mathematical expectation — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Recognizes different types of probabilities: experimental, theoretical, subjective
- Recognizes, depending on the context, different types of probabilities: experimental, theoretical, subjectivePROB.N17 — The student carries out: Recognizes, depending on the context, different types of probabilities: experimental, theoretical, subjective — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Defines and interprets the concept of odds (odds for and odds against)
- Defines or interprets the concept of odds/chance (odds for and odds against) (e.g. makes connections between odds and probabilities)PROB.N18 — The student carries out: Defines or interprets the concept of odds/chance (odds for and odds against) (e.g. makes connections between odds and probabilities) — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Defines and interprets the concept of mathematical expectation
- Defines or interprets the concept of mathematical expectation (e.g. makes connections between mathematical expectation and weighted mean)PROB.N19 — The student carries out: Defines or interprets the concept of mathematical expectation (e.g. makes connections between mathematical expectation and weighted mean) — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Calculates probabilities, including geometric probabilities
- Calculates probabilities, including geometric probabilities, in measurement contextsPROB.N6.2 — The student carries out: subjective Calculates probabilities, including geometric probabilities, in measurement contexts — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Determines the odds for or odds against, depending on the context
- Determines the odds for or odds against, depending on the contextPROB.N10.2 — The student carries out: probability, depending on the context Determines the odds for or odds against — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Interprets and makes decisions with respect to the odds obtained
- Interprets and makes decisions with respect to the odds obtainedPROB.N11.2 — The student carries out: Interprets and makes decisions with respect to the odds obtained — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Modifies the parameters of a situation to make it fair or optimize it
- Modifies, if necessary, the parameters of a situation to make it fair, attain an objective or optimize a gain or lossPROB.N13.2 — The student carries out: Modifies, if necessary, the parameters of a situation in order to make it fair, attain — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Interprets mathematical expectation and makes appropriate decisions
- Interprets the resulting mathematical expectation and makes appropriate decisionsPROB.N14.2 — The student carries out: an objective or optimize a gain or loss Interprets the resulting mathematical expectation and makes appropriate decisions — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Calculates probabilities involving arrangements, permutations and combinations
- Calculates the probability of outcomes of random experiments related to situations involving arrangements, permutations or combinationsPROB.N15 — The student carries out: Calculates the probability of outcomes of random experiments related to situations involving arrangements, permutations or combinations — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
The official wording — 11 outcomes in this unit
- PROB.N12
between dependent and independent events Uses fractions, decimals or percentages to quantify a probability
- PROB.N12.2
Calculates mathematical expectation
- PROB.N17
Recognizes, depending on the context, different types of probabilities: experimental, theoretical, subjective
- PROB.N18
Defines or interprets the concept of odds/chance (odds for and odds against) (e.g. makes connections between odds and probabilities)
- PROB.N19
Defines or interprets the concept of mathematical expectation (e.g. makes connections between mathematical expectation and weighted mean)
- PROB.N6.2
subjective Calculates probabilities, including geometric probabilities, in measurement contexts
- PROB.N10.2
probability, depending on the context Determines the odds for or odds against
- PROB.N11.2
Interprets and makes decisions with respect to the odds obtained
- PROB.N13.2
Modifies, if necessary, the parameters of a situation in order to make it fair, attain
- PROB.N14.2
an objective or optimize a gain or loss Interprets the resulting mathematical expectation and makes appropriate decisions
- PROB.N15
Calculates the probability of outcomes of random experiments related to situations involving arrangements, permutations or combinations
Unit 4GeometryOfficial strand · Strand E
The PDA Geometry branch, taught in the Cultural, Social and Technical sequence register (mathematics for informed social, consumer and financial decisions (Quebec CST program: "purchasing goods and balancing their budget")).
Recognizes equivalent figures (plane figures or solids)
- Recognizes equivalent figures (plane figures or solids)GEOM.N7.3 — The student carries out: Recognizes equivalent figures (plane figures or solids) — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Determines measures of segments or perimeters in equivalent figures
- Determines measures of segments or perimeters in equivalent figuresGEOM.N5.d — The student carries out: segments or perimeters resulting from equivalent figures — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Determines areas and volumes of equivalent figures and solids
- Determines the area of equivalent figuresGEOM.N6.h — The student carries out: area of equivalent figures — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Determines the volume of equivalent solidsGEOM.N6.d.2 — The student carries out: volume of equivalent solids — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Determines metric relations associated with plane figures
- Determines, through exploration or deduction, different metric relations associated with plane figuresGEOM.N1.11 — The student carries out: Determines, through exploration or deduction, different metric relations associated with plane figures — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Finds unknown measurements using the cosine law
- Finds unknown measurements using the cosine lawGEOM.N2.b.ii — The student carries out: cosine law — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
The official wording — 6 outcomes in this unit
- GEOM.N7.3
Recognizes equivalent figures (plane figures or solids)
- GEOM.N5.d
segments or perimeters resulting from equivalent figures
- GEOM.N6.h
area of equivalent figures
- GEOM.N6.d.2
volume of equivalent solids
- GEOM.N1.11
Determines, through exploration or deduction, different metric relations associated with plane figures
- GEOM.N2.b.ii
cosine law
Unit 5Analytic GeometryOfficial strand · Strand F
The PDA Analytic Geometry branch, taught in the Cultural, Social and Technical sequence register (mathematics for informed social, consumer and financial decisions (Quebec CST program: "purchasing goods and balancing their budget")).
Represents a half-plane graphically and algebraically
- Represents a half-plane graphically and algebraicallyANGEO.N3.b — The student carries out: a half-plane: graphically and algebraically — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
The official wording — 1 outcome in this unit
- ANGEO.N3.b
a half-plane: graphically and algebraically
Unit 6Discrete MathematicsOfficial strand · Strand G
The PDA Discrete Mathematics branch, taught in the Cultural, Social and Technical sequence register (mathematics for informed social, consumer and financial decisions (Quebec CST program: "purchasing goods and balancing their budget")).
Describes the basic elements of graph theory
- Describes the basic elements of graph theory: degree, distance, path, circuitDISCR.N1 — The student carries out: Describes the basic elements of graph theory: degree distance, path, circuit — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Determines elements of a situation associated with vertices and edgesDISCR.N1.2 — The student carries out: Determines elements of a situation associated with vertices and edges — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Counts and enumerates possibilitiesDISCR.N1.a — The student carries out: Counts and enumerates possibilities — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Compares and interprets different voting procedures and their resultsDISCR.N1.b — The student carries out: Compares and interprets different voting procedures and their results — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Recognizes Euler paths or circuits and Hamiltonian paths or circuits
- Recognizes Euler paths or circuits and Hamiltonian paths or circuitsDISCR.N2 — The student carries out: Recognizes Euler paths or circuits and Hamiltonian paths or circuits — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Represents a situation using a graphDISCR.N2.2 — The student carries out: Represents a situation using a graph — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Constructs graphs: directed, weighted, coloured graphs and trees
- Constructs graphs: directed graphs, weighted graphs, coloured graphs, treesDISCR.N3 — The student carries out: Constructs graphs: directed graphs, weighted graphs, coloured graphs, trees — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Compares graphs, if necessaryDISCR.N3.2 — The student carries out: Compares graphs, if necessary — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
Identifies properties of graphs
- Identifies properties of graphsDISCR.N4 — The student carries out: Identifies properties of graphs — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
- Finds Euler and Hamiltonian paths and circuits, the critical path, the shortest path, the tree of minimum or maximum values or the chromatic number, depending on the situationDISCR.N4.2 — The student carries out: Finds Euler and Hamiltonian paths and circuits, the critical path, the shortest path, the tree of minimum or maximum values or the chromatic number, depending on the situation — in Cultural, Social and Technical contexts (interpret a real social or financial situation, decide, and justify the decision).
The official wording — 10 outcomes in this unit
- DISCR.N1
Describes the basic elements of graph theory: degree distance, path, circuit
- DISCR.N1.2
Determines elements of a situation associated with vertices and edges
- DISCR.N1.a
Counts and enumerates possibilities
- DISCR.N1.b
Compares and interprets different voting procedures and their results
- DISCR.N2
Recognizes Euler paths or circuits and Hamiltonian paths or circuits
- DISCR.N2.2
Represents a situation using a graph
- DISCR.N3
Constructs graphs: directed graphs, weighted graphs, coloured graphs, trees
- DISCR.N3.2
Compares graphs, if necessary
- DISCR.N4
Identifies properties of graphs
- DISCR.N4.2
Finds Euler and Hamiltonian paths and circuits, the critical path, the shortest path, the tree of minimum or maximum values or the chromatic number, depending on the situation
Unit 7Financial mathematicsOfficial strand · Strand H
The Cultural, Social and Technical option's own financial mathematics (Quebec Cycle Two program) — interest, present/future value and personal-finance decisions. This is the CST-distinctive strand, absent from the PDA progression and mined from the program document.
Value acquired by capital compounded over multiple periods
- Value acquired by capital compounded over multiple periodsFIN.C5.1 — The student carries out: They must also determine the value acquired by capital invested at a compounded interest rate for multiple periods — CST financial mathematics.
Comparing interest rates to make informed decisions
- Comparing interest rates to make informed decisionsFIN.C5.2 — The student carries out: compare interest rates so as to determine the best rate and make informed decisions — CST financial mathematics.
Types of income (salary, commission, contract, gratuities)
- Types of income (salary, commission, contract, gratuities)FIN.C5.3 — The student carries out: types of income, such as types of compensation, salaries, commissions, contracts and gratuities — CST financial mathematics.
Types of taxation (income tax, property tax, source deductions)
- Types of taxation (income tax, property tax, source deductions)FIN.C5.4 — The student carries out: different types of taxation, such as income tax, property tax and deductions at source — CST financial mathematics.
Types of financing (purchase options, loans, mortgages, costs)
- Types of financing (purchase options, loans, mortgages, costs)FIN.C5.5 — The student carries out: types of financing, such as purchase options, personal loans, mortgages and financing costs — CST financial mathematics.
The official wording — 5 outcomes in this unit
- FIN.C5.1
They must also determine the value acquired by capital invested at a compounded interest rate for multiple periods
- FIN.C5.2
compare interest rates so as to determine the best rate and make informed decisions
- FIN.C5.3
types of income, such as types of compensation, salaries, commissions, contracts and gratuities
- FIN.C5.4
different types of taxation, such as income tax, property tax and deductions at source
- FIN.C5.5
types of financing, such as purchase options, personal loans, mortgages and financing costs
Printable workbook · A keepsake of the year
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Common questions
Can MapleMind help me with Mathematics, Secondary 5 (Cultural, Social and Technical)?
Yes. MapleMind's AI tutor covers all 44 skills in Quebec's Mathematics, Secondary 5 (Cultural, Social and Technical) — you pick the exact skill, and the tutor teaches it step by step: a short lesson, a worked example, solving together, then a skill check to show it stuck.
Is MapleMind aligned to Quebec's official curriculum?
Yes. Every skill in this course maps to an official outcome code from Quebec's Grade 11 Mathematics curriculum, and the ministry's own wording is quoted under each unit on this page — with the official government source linked so you can check it yourself.
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Yes — 14 languages, including French. Both the app and the tutor's explanations switch to the language you choose.
Where can I see the official Quebec curriculum for Mathematics, Secondary 5 (Cultural, Social and Technical)?
The official source is linked on this page — Québec's official education program. The outline here follows it: every MapleMind skill carries its official outcome code, and the ministry's own wording is quoted under each unit.
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