Manitoba · Grade 11
Essential Mathematics, Grade 11 (30S)
Manitoba’s Grade 11 math course, from Analysis of Games and Numbers to Design Modelling.
- Units
- 8
- Lessons
- 9
- Skills
- 25
- Provincial exam
- None
- Official curriculum
- Manitoba Education
Unit by unit
Every skill in the course, numbered by unit.
Unit 1 · 2 skills
Analysis of Games and Numbers
Puzzles and Games with Numerical Reasoning
Winning strategies for number puzzles
I can find and explain a strategy that wins a number puzzle or game.
Skill 1.1
Inventing and adapting a number game
I can invent a variation of a number game and describe how to win it.
Skill 1.2
The official wording · 2 outcomes
- 1.1
- Analyze puzzles and games that involve numerical reasoning, using problem-solving strategies.
- 1.2
- Analyze puzzles and games that involve numerical reasoning, using problem-solving strategies.
Key ideas
A strategy is a repeatable, explainable plan like look-for-a-pattern or work-backward.
Testing a strategy against the game shows whether it really wins.
Watch out for
- Thinking a lucky win is the same as a strategy.
- Stopping at one answer instead of checking the strategy always works.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 5 skills
Interest and Credit
Interest and Borrowing
Simple versus compound interest
I can calculate simple interest and explain how compounding differs.
Skill 2.1
Calculating compound interest
I can calculate compound interest and estimate doubling time.
Skill 2.2
Comparing credit options
I can compare credit options and their trade-offs.
Skill 2.3
Using credit wisely
I can make smart credit decisions and solve credit problems.
Skill 2.4
Rearranging interest and finance formulas
I can apply and rearrange interest and finance-charge formulas.
Skill 2.5
The official wording · 5 outcomes
- 2.1
- Demonstrate an understanding of compound interest.
- 2.2
- Demonstrate an understanding of compound interest.
- 2.3
- Demonstrate an understanding of credit options, including credit cards loans
- 2.4
- Demonstrate an understanding of credit options, including credit cards loans
- 2.5
- Solve problems that require the manipulation and application of formulas related to simple interest finance charges
Key ideas
Simple interest I = Prt is calculated only on the original principal.
Compound interest also earns interest on previously earned interest.
Compounding more often increases the total interest earned.
The Rule of 72 estimates how long an investment takes to double.
Credit options include credit cards, personal loans, lines of credit, and overdraft.
Watch out for
- Applying interest to a growing balance when it should be simple.
- Using time in the wrong units for the rate.
- Using the wrong compounding period.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 4 skills
3-D Geometry
Surface Area, Volume, and Capacity
Surface area of 3-D objects
I can find the surface area of 3-D objects in either system.
Skill 3.1
Volume and capacity of solids
I can distinguish volume and capacity and convert cubed units.
Skill 3.2
Volume and capacity of composite solids
I can find the volume and capacity of solids and composite objects.
Skill 3.3
Rearranging volume, capacity, and surface-area formulas
I can apply and rearrange volume, capacity, and surface-area formulas.
Skill 3.4
The official wording · 4 outcomes
- 3.1
- Solve problems that involve SI and imperial units in surface area measurements.
- 3.2
- Solve problems that involve SI and imperial units in volume and capacity measurements.
- 3.3
- Solve problems that involve SI and imperial units in volume and capacity measurements.
- 3.4
- Solve problems that require the manipulation and application of formulas related to volume and capacity surface area
Key ideas
Surface area is the total area of all faces or curved surfaces.
A net unfolds a 3-D object to show its surfaces.
Volume is the space an object occupies; capacity is how much it holds.
Converting a cubed unit uses the cube of the linear conversion factor.
A cone's volume is one-third of a cylinder with the same base and height.
Watch out for
- Confusing surface area with volume.
- Missing a face when adding up the surfaces.
- Treating volume and capacity as identical.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 1 skill
Statistics
Creating and Interpreting Graphs
Choosing and interpreting graphs
I can choose the right graph for data and read it correctly.
Skill 4.1
The official wording · 1 outcomes
- 4.1
- Solve problems that involve creating and interpreting graphs, including bar graphs histograms line graphs circle graphs
Key ideas
Different graphs suit different data: bar for categories, line for trends over time, circle for parts of a whole.
The same data on different graphs can emphasize different points.
Watch out for
- Using a circle graph for data that is not parts of a whole.
- Reading a misleading axis without noticing.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 5 · 3 skills
Managing Money
Budgets and Banking
Personal budgets
I can create and adjust a personal budget.
Skill 5.1
Choosing accounts and services
I can choose banking accounts and services that fit my needs.
Skill 5.2
Securing financial information
I can keep my financial information secure.
Skill 5.3
The official wording · 3 outcomes
- 5.1
- Solve problems that involve personal budgets.
- 5.2
- Demonstrate an understanding of financial institution services used to access and manage finances.
- 5.3
- Demonstrate an understanding of financial institution services used to access and manage finances.
Key ideas
A budget balances income against expenses, including recurring and unexpected ones.
Prioritizing expenses helps a budget meet personal goals.
Accounts differ in service charges, features, and record-keeping options.
Online, ATM, and in-branch services each carry different charges.
Passwords, PIN protection, and encryption protect financial information.
Watch out for
- Forgetting unexpected or irregular expenses.
- Budgeting more than the available income.
- Choosing an account without comparing service charges.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 6 · 7 skills
Relations and Patterns
Slope, Proportion, and Scale
Slope as rise over run
I can find slope as rise over run in real contexts.
Skill 6.1
Slope as rate of change
I can interpret slope as a rate of change and judge its implications.
Skill 6.2
Proportional reasoning and unit analysis
I can solve problems using proportions and unit analysis.
Skill 6.3
Rearranging slope and rate-of-change formulas
I can apply and rearrange slope and rate-of-change formulas.
Skill 6.4
Scale drawings and models
I can use scale to read drawings and build models.
Skill 6.5
Linear Relations
Recognizing and representing linear relations
I can recognize a linear relation and represent it as a table, graph, and equation.
Skill 6.6
Interpolating and solving with linear relations
I can predict values from a linear relation and solve problems with it.
Skill 6.7
The official wording · 7 outcomes
- 6.1
- Demonstrate an understanding of slope as rise over run by solving problems.
- 6.2
- Demonstrate an understanding of slope as rate of change by solving problems.
- 6.3
- Solve problems by applying proportional reasoning and unit analysis.
- 6.4
- Solve problems that require the manipulation and application of formulas related to slope and rate of change.
- 6.5
- Solve problems that involve scale.
- 6.6
- Demonstrate an understanding of linear relations by recognizing patterns and trends graphing creating tables of values writing equations
- 6.7
- Demonstrate an understanding of linear relations by interpolating and extrapolating solving problems
Key ideas
Slope as rise over run measures the steepness of a ramp or roof.
A linear relation has a constant rate of change.
A horizontal slope is zero; a vertical slope is undefined.
One relation can be shown as a pattern, table, graph, or equation.
Slope as a rate of change measures how fast one quantity changes per unit of another.
Watch out for
- Dividing run by rise.
- Calling a curved graph linear.
- Calling a vertical slope zero.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 7 · 1 skill
Trigonometry
Two and Three Right Triangles
Problems with two and three right triangles
I can solve problems that chain two or three right triangles.
Skill 7.1
The official wording · 1 outcomes
- 7.1
- Solve problems that involve two and three right triangles.
Key ideas
A complex figure often contains several right triangles.
An angle of elevation looks up; an angle of depression looks down.
Watch out for
- Missing a right triangle hidden in the figure.
- Confusing angle of elevation with depression.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 8 · 2 skills
Design Modelling
Drawing 3-D Objects and Views
Drawing 3-D objects and their views
I can draw a 3-D object and its top, front, and side views.
Skill 8.1
Exploded views and component parts
I can draw an exploded view of a simple 3-D object.
Skill 8.2
The official wording · 2 outcomes
- 8.1
- Model and draw 3-D objects and their views.
- 8.2
- Draw and describe exploded views, component parts, and scale diagrams of simple 3-D objects.
Key ideas
A 3-D object can be represented by three 2-D views: top, front, and side.
Isometric dot paper helps draw a 3-D object accurately.
An exploded view separates a 3-D object into its component parts.
Component parts are drawn to scale in their assembled relationship.
Watch out for
- Swapping the front and side views.
- Distorting proportions on isometric paper.
- Losing the alignment of parts in an exploded view.
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?
Manitoba has 3 math courses for Grade 11. Here they are side by side.
- Applied Mathematics, Grade 11 (30S)6 units · 19 skillsNo provincial examWhat it coversMeasurement · Geometry · Logical Reasoning · Statistics · Relations and Functions · Mathematics Research Project
- Essential Mathematics, Grade 11 (30S)This course8 units · 25 skillsNo provincial examWhat it coversAnalysis of Games and Numbers · Interest and Credit · 3-D Geometry · Statistics · Managing Money · Relations and Patterns · Trigonometry · Design Modelling
- Pre-Calculus Mathematics, Grade 11 (30S)3 units · 32 skillsNo provincial examWhat it coversAlgebra and Number · Trigonometry · 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 Manitoba’s own curriculum for Essential Mathematics, Grade 11 (30S).
Study it in MapleMind
MapleMind teaches Essential Mathematics, Grade 11 (30S) 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 Essential Mathematics, Grade 11 (30S) 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
- 41
- Fillable fields
- 1,524
- Price
- $4.99
Questions about Essential Mathematics, Grade 11 (30S)
What is Essential Mathematics, Grade 11 (30S)?
Manitoba’s Grade 11 math course: 8 units and 25 skills, from Analysis of Games and Numbers to Design Modelling.
What units are in Essential Mathematics, Grade 11 (30S)?
1. Analysis of Games and Numbers, 2. Interest and Credit, 3. 3-D Geometry, 4. Statistics, 5. Managing Money, 6. Relations and Patterns, 7. Trigonometry and 8. Design Modelling.
Is there a provincial exam for Essential Mathematics, Grade 11 (30S)?
No. Manitoba gives no provincial exam for Essential Mathematics, Grade 11 (30S).
What comes after Essential Mathematics, Grade 11 (30S)?
Applied Mathematics, Grade 12 (40S), Essential Mathematics, Grade 12 (40S), Pre-Calculus Mathematics, Grade 12 (40S) and Introduction to Calculus, Grade 12 (40S).
Can MapleMind help with Essential Mathematics, Grade 11 (30S)?
Yes. MapleMind teaches every skill of Essential Mathematics, Grade 11 (30S), 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 Essential Mathematics, Grade 11 (30S)
Practise every skill of Essential Mathematics, Grade 11 (30S) in MapleMind, free with daily limits.
