Nova Scotia · Grade 12
Mathematics at Work 12
Nova Scotia’s Grade 12 math course, from Geometry to Probability.
- Units
- 5
- Lessons
- 8
- Skills
- 22
- Provincial exam
- None
- Official curriculum
- Nova Scotia Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 8 skills
Geometry
The sine law and cosine law
The sine law
I can solve a triangle using the sine law.
Official code: G01
The cosine law
I can solve a triangle using the cosine law.
Official code: G01
Properties of polygons
Properties of triangles and quadrilaterals
I can describe the properties of triangles and quadrilaterals.
Official code: G02
Properties of regular polygons
I can describe the properties of regular polygons.
Official code: G02
Applying polygon properties
I can apply polygon properties to a real design problem.
Official code: G02
Transformations
Single transformations
I can identify and draw a single transformation of a shape.
Official code: G03
Combinations of transformations
I can apply a combination of transformations to create a design.
Official code: G03
Dilations and similarity
I can draw a dilation and explain its proportional relationship.
Official code: G03
The official wording · 8 outcomes
- G01
- solve problems by using the sine law and cosine law, excluding the ambiguous case
- G01
- solve problems by using the sine law and cosine law, excluding the ambiguous case
- G02
- solve problems that involve triangles, quadrilaterals, and regular polygons
- G02
- solve problems that involve triangles, quadrilaterals, and regular polygons
- G02
- solve problems that involve triangles, quadrilaterals, and regular polygons
- G03
- demonstrate an understanding of transformations on a 2-D shape or a 3-D object, including translations, rotations, reflections, and dilations
- G03
- demonstrate an understanding of transformations on a 2-D shape or a 3-D object, including translations, rotations, reflections, and dilations
- G03
- demonstrate an understanding of transformations on a 2-D shape or a 3-D object, including translations, rotations, reflections, and dilations
Key ideas
The sine law relates each side to the sine of its opposite angle: a/sin A = b/sin B = c/sin C.
An isosceles triangle has two equal sides and two equal base angles; an equilateral has three.
A translation slides a shape; a rotation turns it; a reflection flips it.
Use the sine law when you know an angle and its opposite side plus one more piece.
Quadrilaterals differ by their side lengths, angle measures, and diagonals.
Watch out for
- Pairing a side with the wrong (non-opposite) angle.
- Assuming all parallelograms have equal diagonals.
- Confusing a rotation with a reflection.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 4 skills
Number
Logical puzzles and games
Strategies for logical puzzles and games
I can pick and verify a strategy to solve a logical puzzle or win a game.
Official code: N01
Acquiring a vehicle
Options for acquiring a vehicle
I can describe the options for buying, leasing, and leasing to buy a vehicle.
Official code: N02
Solving vehicle-acquisition problems
I can solve a problem comparing the cost of buying vs. leasing a vehicle.
Official code: N02
Justifying a vehicle decision
I can justify a vehicle-acquisition decision using real-life factors.
Official code: N02
The official wording · 4 outcomes
- N01
- analyze puzzles and games that involve logical reasoning, using problem-solving strategies
- N02
- solve problems that involve the acquisition of a vehicle by buying, leasing, or leasing to buy
- N02
- solve problems that involve the acquisition of a vehicle by buying, leasing, or leasing to buy
- N02
- solve problems that involve the acquisition of a vehicle by buying, leasing, or leasing to buy
Key ideas
Logical puzzles are solved by systematic reasoning, not guessing.
Buying means you own the vehicle and finance or pay for it outright.
Strategies include making a list, eliminating possibilities, and working backwards.
Leasing is a long-term rental with lower payments but no ownership.
A strategy can be tested and refined by trying it.
Watch out for
- Guessing randomly instead of reasoning systematically.
- Thinking leasing builds ownership like buying does.
- Assuming one strategy works for every puzzle.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 5 skills
Algebra
Linear relations
Recognizing patterns and trends in linear relations
I can recognize a linear relation and tell it from a non-linear one.
Official code: A01
Tables of values and equations
I can write a linear equation for a context and build its table of values.
Official code: A01
Graphing linear relations
I can graph a linear relation and decide whether to connect the points.
Official code: A01
Interpolating and extrapolating
I can interpolate and extrapolate from a linear relation to solve a problem.
Official code: A01
Scatterplots and trends
I can create a scatterplot and describe its trend.
Official code: A01
The official wording · 5 outcomes
- A01
- demonstrate an understanding of linear relations by ▪ recognizing patterns and trends
- A01
- demonstrate an understanding of linear relations by ▪ creating tables of values ▪ writing equations
- A01
- demonstrate an understanding of linear relations by ▪ graphing
- A01
- demonstrate an understanding of linear relations by ▪ interpolating and extrapolating ▪ solving problems
- A01
- demonstrate an understanding of linear relations by ▪ recognizing patterns and trends
Key ideas
A linear relation changes by a constant amount for each equal step.
A linear relation graphs as a straight line.
A constant first difference in a table signals a linear relation.
A linear equation has the form y = mx + b, where m is the rate and b the starting value.
Direct variation passes through the origin (b = 0); partial variation has a fixed start.
Watch out for
- Calling a curved graph linear.
- Overlooking that unequal steps hide a constant rate.
- Swapping the rate (m) and the starting value (b).
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 2 skills
Statistics
Measures of central tendency
Mean, median, and mode
I can calculate and compare the mean, median, and mode.
Official code: S01
Outliers and interpreting data
I can identify outliers and explain their effect on the measures.
Official code: S01
The official wording · 2 outcomes
- S01
- solve problems that involve measures of central tendency, including mean, median, and mode
- S01
- solve problems that involve measures of central tendency, including mean, median, and mode
Key ideas
The mean is the sum divided by the count; the median is the middle value; the mode is the most frequent.
Each measure suits different data (the median resists outliers).
The best measure depends on what the data represents.
An outlier is a value far from the rest of the data.
An outlier pulls the mean toward it but barely moves the median.
Watch out for
- Confusing the median (middle) with the mean (average).
- Forgetting to order the data before finding the median.
- Assuming an outlier affects the median as much as the mean.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 5 · 3 skills
Probability
Probability in the real world
Calculating probability
I can calculate a probability and express it several ways.
Official code: P01
Odds and probability
I can explain odds vs. probability and convert between them.
Official code: P01
Applications and decisions
I can use probability to interpret real-world applications and decisions.
Official code: P01
The official wording · 3 outcomes
- P01
- analyze and interpret problems that involve probability
- P01
- analyze and interpret problems that involve probability
- P01
- analyze and interpret problems that involve probability
Key ideas
Probability is favourable outcomes divided by total outcomes.
A probability ranges from 0 (impossible) to 1 (certain).
The same probability can be written as a fraction, decimal, or percent.
Odds compare favourable to unfavourable outcomes (e.g. 3:2).
Probability compares favourable outcomes to the total.
Watch out for
- Reporting a probability greater than 1.
- Dividing by favourable outcomes instead of total outcomes.
- Treating odds of 3:2 as a probability of 3/2.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.
Which course?
Nova Scotia has 4 math courses for Grade 12. Here they are side by side.
- Calculus 124 units · 42 skillsNo provincial examWhat it coversCalculus 12 — Rates of Change and the Derivative · Calculus 12 — Differentiation Rules and Applications · Calculus 12 — Curve Analysis, Tangents and Antiderivatives · Calculus 12 — Integration and Area
- Mathematics 124 units · 30 skillsNo provincial examWhat it coversFinancial Mathematics · Logical Reasoning · Probability · Relations and Functions
- Mathematics at Work 12This course5 units · 22 skillsNo provincial examWhat it coversGeometry · Number · Algebra · Statistics · Probability
- Pre-Calculus 122 units · 26 skillsNo provincial examWhat it coversTrigonometry · Relations and Functions
What a university, college or program asks for is theirs to say: check its admission page, and your school’s course guide.
The official curriculum
This page follows Nova Scotia’s own curriculum for Mathematics at Work 12.
Study it in MapleMind
MapleMind teaches Mathematics at Work 12 one skill at a time. Each skill gets a short lesson, practice as you go and a check worth up to three stars. It remembers where you stopped.
Course Companion
Your year in one workbook
A fun way to keep Mathematics at Work 12 organized, get to know your child better and see early when they need a hand. Fill it in on a screen, or print it.
- Pages
- 31
- Fillable fields
- 1,336
- Price
- $4.99
Questions about Mathematics at Work 12
What is Mathematics at Work 12?
Nova Scotia’s Grade 12 math course: 5 units and 22 skills, from Geometry to Probability.
What units are in Mathematics at Work 12?
1. Geometry, 2. Number, 3. Algebra, 4. Statistics and 5. Probability.
Is there a provincial exam for Mathematics at Work 12?
No. Nova Scotia gives no provincial exam for Mathematics at Work 12.
Can MapleMind help with Mathematics at Work 12?
Yes. MapleMind teaches every skill of Mathematics at Work 12, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.
Get ready for Mathematics at Work 12
Practise every skill of Mathematics at Work 12 in MapleMind, free with daily limits.
