Newfoundland & Labrador · Grade 11
Mathematics 2200
Newfoundland & Labrador’s Grade 11 math course, from Radicals and Absolute Value to Trigonometry.
- Units
- 4
- Lessons
- 15
- Skills
- 43
- Provincial exam
- None
- Official curriculum
- Government of Newfoundland and Labrador, Department of Education
Unit by unit
Every skill in the course, numbered by unit.
Unit 1 · 7 skills
Radicals and Absolute Value
Absolute Value of Real Numbers
Absolute value and distance
I can find and interpret absolute value as distance.
Skill 1.1
Square roots and absolute value
I can relate the square root of a square to absolute value.
Skill 1.2
Radical Expressions
Mixed and entire radicals
I can convert between mixed and entire radicals.
Skill 1.3
Simplifying radical expressions
I can simplify radical expressions.
Skill 1.4
Rationalizing denominators
I can rationalize a denominator that contains a radical.
Skill 1.5
Where a radical is defined
I can find where a radical expression is defined.
Skill 1.6
Radical Equations
Solving radical equations
I can solve a radical equation and reject extraneous roots.
Skill 1.7
The official wording · 7 outcomes
- 1.1
- Determine the absolute value of a positive or negative real number
- 1.2
- Explain, using examples
- 1.3
- Express an entire radical with a numerical radicand as a mixed radical
- 1.4
- Perform one or more operations to simplify radical expressions with numerical or variable radicands
- 1.5
- Rationalize the denominator of a rational expression with monomial or binomial denominators
- 1.6
- Identify the values of the variable for which a given radical expression is defined
- 1.7
- Determine the roots of a radical equation algebraically, and explain the process used to solve the equation
Key ideas
Absolute value is distance from zero, always non-negative.
A perfect-square factor can be taken outside the radical.
Squaring both sides can introduce extraneous roots.
The distance between two points can be written with absolute value.
A coefficient can be brought back under the radical by squaring.
Watch out for
- Thinking absolute value can be negative.
- Taking a non-perfect-square factor outside.
- Accepting a root without checking it.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 7 skills
Rational Expressions and Factoring
Factoring Polynomials
Factoring polynomial expressions
I can factor polynomial expressions.
Skill 2.1
Factoring quadratic-pattern expressions
I can factor expressions with a quadratic pattern.
Skill 2.2
Simplifying Rational Expressions
Non-permissible values and equivalents
I can find non-permissible values and equivalent rational expressions.
Skill 2.3
Simplifying rational expressions
I can simplify a rational expression correctly.
Skill 2.4
Operations on rational expressions
I can add, subtract, multiply, and divide rational expressions.
Skill 2.5
Multi-step rational expression work
I can simplify multi-step rational expressions.
Skill 2.6
Solving rational equations
I can solve a rational equation and reject false solutions.
Skill 2.7
The official wording · 7 outcomes
- 2.1
- Factor a given polynomial expression that requires the identification of common factors
- 2.2
- Factor a given polynomial expression that has a quadratic pattern
- 2.3
- Determine the non-permissible values for a rational expression
- 2.4
- Simplify a rational expression
- 2.5
- Determine, in simplified form, the sum or difference of rational expressions with the same denominator
- 2.6
- Simplify an expression that involves two or more operations on rational expressions
- 2.7
- Determine the solution to a rational equation algebraically, and explain the strategy used to solve the equation
Key ideas
Always look for a common factor first.
A denominator of zero makes an expression undefined.
Trinomials and differences of squares have standard factoring patterns.
Multiplying top and bottom by the same factor keeps an equivalent form.
A substitution can reveal a quadratic pattern.
Watch out for
- Missing a common factor.
- Forgetting to exclude values that make the denominator zero.
- Sign errors when factoring a trinomial.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 22 skills
Relations and Functions
Absolute Value Functions
Graphing absolute value functions
I can graph an absolute value function and describe it.
Skill 3.1
Solving absolute value equations
I can solve absolute value equations.
Skill 3.2
Absolute value function problems
I can solve problems that involve an absolute value function.
Skill 3.3
Quadratic Equations
Roots, zeros, and x-intercepts
I can connect roots, zeros, and x-intercepts of a quadratic.
Skill 3.4
Solving quadratic equations
I can solve a quadratic equation several ways.
Skill 3.5
The quadratic formula and discriminant
I can derive the quadratic formula and use the discriminant.
Skill 3.6
Quadratic equation problems
I can solve a real problem with a quadratic equation.
Skill 3.7
Linear and Quadratic Inequalities
Linear inequalities in two variables
I can graph and solve linear inequalities.
Skill 3.8
Quadratic inequalities in two variables
I can graph a quadratic inequality in two variables.
Skill 3.9
Quadratic inequalities in one variable
I can solve a quadratic inequality in one variable.
Skill 3.10
Quadratic inequality problems
I can represent and interpret a quadratic inequality problem.
Skill 3.11
Quadratic Functions
Transformations of quadratic functions
I can predict a parabola's shape from its parameters.
Skill 3.12
Vertex form and the vertex
I can graph and build a quadratic in vertex form.
Skill 3.13
Completing the square
I can complete the square to find vertex form.
Skill 3.14
Modelling with quadratic functions
I can model and analyze a situation with a quadratic function.
Skill 3.15
Reciprocal Functions
Graphing reciprocal functions
I can graph the reciprocal of a function.
Skill 3.16
Systems of Equations
Solving non-linear systems
I can solve linear-quadratic and quadratic-quadratic systems.
Skill 3.17
Modelling with systems
I can model and solve a problem with a non-linear system.
Skill 3.18
Arithmetic Sequences and Series
Arithmetic sequences
I can work with arithmetic sequences.
Skill 3.19
Arithmetic series
I can find the sum of an arithmetic series.
Skill 3.20
Geometric Sequences and Series
Geometric sequences
I can work with geometric sequences.
Skill 3.21
Geometric series
I can sum finite and infinite geometric series.
Skill 3.22
The official wording · 22 outcomes
- 3.1
- state the intercepts, domain and range; and explain the strategy used
- 3.2
- Solve, algebraically, an equation with a single absolute value, and verify the solution
- 3.3
- Solve a problem that involves an absolute value function
- 3.4
- the zeros of the corresponding quadratic function and the x -intercepts of the graph of the quadratic function
- 3.5
- Solve a quadratic equation of the form
- 3.6
- Derive the quadratic formula, using deductive reasoning
- 3.7
- Solve a problem by: analyzing a quadratic equation determining and analyzing a quadratic equation
- 3.8
- Sketch, with or without technology, the graph of a linear inequality
- 3.9
- Sketch, with or without technology, the graph of a quadratic inequality
- 3.10
- Determine the solution of a quadratic inequality in one variable
- 3.11
- Represent and solve a problem that involves a quadratic inequality in one variable
- 3.12
- generalize, using inductive reasoning, a rule about the effect of
- 3.13
- identify the vertex, domain and range, direction of opening, axis of symmetry
- 3.14
- by completing the square
- 3.15
- Write a quadratic function that models a given situation, and explain any assumptions made
- 3.16
- values of x for which
- 3.17
- Determine and verify the solution(s) of a system of linear-quadratic or quadratic-quadratic equations graphically
- 3.18
- Model a situation, using a system of linear-quadratic or quadratic-quadratic equations
- 3.19
- Determine a rule for finding the general term of an arithmetic sequence
- 3.20
- Determine a rule for finding the sum of
- 3.21
- Determine a rule for finding the general term of a geometric sequence
- 3.22
- Determine a rule for finding the sum of
Key ideas
An absolute value graph reflects the negative part upward.
The roots of the equation are the zeros of the function.
A test point identifies the solution region.
The parameter a stretches and can flip the parabola.
Vertical asymptotes occur where the function is zero.
Watch out for
- Forgetting to reflect the negative portion.
- Treating roots and y-intercepts as the same.
- Shading the wrong side of the line.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 7 skills
Trigonometry
Sine and Cosine Laws
Solving oblique triangles
I can solve triangles that are not right triangles.
Skill 4.1
Applying the sine and cosine laws
I can apply the sine and cosine laws, including the ambiguous case.
Skill 4.2
Angles in Standard Position
Sketching angles in standard position
I can sketch an angle in standard position.
Skill 4.3
Standard position and reference angles
I can place an angle in standard position and find its reference angle.
Skill 4.4
Trig ratios from a point
I can find trig ratios from a point on the terminal arm.
Skill 4.5
Exact values and special angles
I can find exact trig values for special angles.
Skill 4.6
Solving trigonometric equations
I can solve a basic trigonometric equation over the full circle.
Skill 4.7
The official wording · 7 outcomes
- 4.1
- Solve, using primary trigonometric ratios, a triangle that is not a right triangle
- 4.2
- Sketch a diagram and solve a problem, using the sine law
- 4.3
- Sketch an angle in standard position, given the measure of the angle
- 4.4
- Determine the reference angle for an angle in standard position
- 4.5
- Determine the value of sin
- 4.6
- Determine the exact value of the sine, cosine or tangent of a given angle
- 4.7
- an equation of the form tan
Key ideas
The sine and cosine laws solve oblique triangles.
Standard position starts the angle at the positive x-axis.
Each law has a proof built from right-triangle ratios.
The terminating quadrant depends on the angle's measure.
The sine law can give an ambiguous case with two solutions.
Watch out for
- Applying right-triangle ratios to an oblique triangle.
- Measuring the angle clockwise for a positive value.
- Choosing the wrong law for the given information.
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?
Newfoundland & Labrador has 3 math courses for Grade 11. Here they are side by side.
- Mathematics 2200This course4 units · 43 skillsNo provincial examWhat it coversRadicals and Absolute Value · Rational Expressions and Factoring · Relations and Functions · Trigonometry
- Mathematics 2201 (Academic)7 units · 34 skillsNo provincial examWhat it coversRadical Expressions and Equations · Inductive and Deductive Reasoning · Quadratic Functions and Equations · Angles, Triangles and Proof · Proportional Reasoning: Scale and Rates · Acute Triangle Trigonometry · Statistical Reasoning
- Mathematics 22026 units · 28 skillsNo provincial examWhat it coversPersonal Finance · Formulas · Surface Area, Volume, and 3-D Views · Slope, Rate of Change, and Scale · Trigonometry · Graphs and Data
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 Newfoundland & Labrador’s own curriculum for Mathematics 2200.
Study it in MapleMind
MapleMind teaches Mathematics 2200 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 2200 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
- 1,618
- Price
- $4.99
Questions about Mathematics 2200
What is Mathematics 2200?
Newfoundland & Labrador’s Grade 11 math course: 4 units and 43 skills, from Radicals and Absolute Value to Trigonometry.
What units are in Mathematics 2200?
1. Radicals and Absolute Value, 2. Rational Expressions and Factoring, 3. Relations and Functions and 4. Trigonometry.
Is there a provincial exam for Mathematics 2200?
No. Newfoundland & Labrador gives no provincial exam for Mathematics 2200.
What comes after Mathematics 2200?
Mathematics 3200, Mathematics 3201 (Academic), Mathematics 3202 and Mathematics 3208 (Calculus).
Can MapleMind help with Mathematics 2200?
Yes. MapleMind teaches every skill of Mathematics 2200, 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 2200
Practise every skill of Mathematics 2200 in MapleMind, free with daily limits.
