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Grade 11 Math Courses - Nova Scotia Curriculum

Discover Nova Scotia's Grade 11 Mathematics Essentials course, designed to provide practical math skills for daily life and future careers. Learn about curriculum content and learning pathways.

Grade 11

Extended Mathematics 11

Pre-Calculus 11

Mathematics at Work 11

Mathematics Essentials 11

Nova Scotia Grade 11 Math Curriculum - Mathematics Essentials

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CO_ID	Curriculum Outcome	StudyPug Topic
NS.CO.E11.A.i	Demonstrate understanding of number meanings with respect to real numbers:	Understanding the number systems Rational vs. Irrational numbers Scientific notation Converting repeating decimals to fractions Conversion between entire radicals and mixed radicals Operations with radicals

NS.CO.E11.A.ii

Order real numbers, represent them in multiple ways and apply appropriate representations:

Square and square roots

Cubic and cube roots

Converting radicals to mixed radicals

Converting radicals to entire radicals

Adding and subtracting radicals

Multiplying and dividing radicals

Rationalize the denominator

Evaluating and simplifying radicals

NS.CO.E11.B.i

Explain and use algebraic and arithmetic operations in problem solving situations:

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Negative exponent rule

Combining the exponent rules

Convert between radicals and rational exponents

Solving for exponents

Product rule of exponents

NS.CO.E11.B.ii

Derive, analyse, and apply computational procedures for real numbers:

What is a polynomial?

Polynomial components

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

NS.CO.E11.B.iii

Derive, analyse, and apply algebraic procedures in problem situations:

Factor by taking out the greatest common factor

Factor by grouping

Factoring difference of squares:

x^2 - y^2

Factoring trinomials

Simplifying rational expressions and restrictions

Adding and subtracting rational expressions

Multiplying rational expressions

Dividing rational expressions

Factoring difference of cubes

Factoring sum of cubes

NS.CO.E11.B.iv

Apply estimation techniques to predict and justify reasonableness of results:

Linear approximation

Average value of a function

Upper and lower bound

NS.CO.E11.C.i

Model real-world problems using functions, equations, inequalities and discrete structures:

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

Arithmetic sequences

Arithmetic series

Geometric sequences

Geometric series

Direct variation

Evaluating piecewise functions

Graphing piecewise linear functions

Graphing piecewise non-linear functions

Inverse variation

Joint and combined variation

NS.CO.E11.C.ii

Represent functional relationships in multiple ways and describe connections:

Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Parallel and perpendicular lines in linear functions

Applications of linear relations

NS.CO.E11.C.iv

Solve problems involving relationships using graphing technology and pencil-and-paper techniques:

Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

Slope equation:

m = \frac{y_2-y_1}{x_2- x_1}

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

Point-slope form: y - y_1 = m(x - x_1)

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

NS.CO.E11.D.ii

Determine measurements with precision, accuracy, and error in problem situations:

Conversions between metric and imperial systems

Imperial systems

Conversions involving squares and cubic

NS.CO.E11.D.iii

Apply measurement formulas and procedures in a wide variety of contexts:

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Volumes of solids of revolution - Disc method

Volumes of solid with known cross-sections

Volumes of solid of revolution - Shell method

NS.CO.E11.E.iv

Represent problem situations with geometric models and apply properties of figures:

Use sine ratio to calculate angles and sides (Sin = o / h)

Use cosine ratio to calculate angles and sides (Cos = a / h)

Combination of SohCahToa questions

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Other word problems relating angles in trigonometry

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

Use tangent ratio to calculate angles and sides (Tan = o / a)

Applications of the sine law and cosine law

NS.CO.E11.F.i

Understand sampling issues and their role with respect to statistical claims:

Classification of data

Sampling methods

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

Sampling distributions

Central limit theorem

Census and bias

NS.CO.E11.F.ii

Extend construction of a wide variety of data displays manually and via technology:

Frequency distribution and histograms

Introduction to normal distribution

Normal distribution and continuous random variable

Bivariate, scatter plots and correlation

Regression analysis

Equation of the best fit line

Stem and leaf plots

Frequency polygons

Shapes of distributions

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