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Grade 10 Math Courses - Nova Scotia Curriculum

Discover Nova Scotia's Grade 10 math options: Mathematics at Work 10 and Mathematics Essentials 10. Each course offers unique pathways tailored to different learning goals and career aspirations.

Grade 10

Mathematics at Work 10

Mathematics Essentials 10

Nova Scotia Grade 10 Math Curriculum

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CO_ID	Curriculum Outcome	StudyPug Topic
NS.CO.10.M01	Solve problems involving linear measurement using SI and imperial units, estimation, and measurement strategies:	Conversions between metric and imperial systems Metric systems Imperial systems Conversions involving squares and cubic Upper and lower bound

NS.CO.10.M03

Solve problems involving surface area and volume of 3-D objects using SI and imperial units:

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

NS.CO.10.M04

Develop and apply primary trigonometric ratios to solve problems involving right triangles:

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)

NS.CO.10.AN01

Demonstrate understanding of factors of whole numbers by determining prime factors, GCF, LCM, square root, and cube root:

Understanding the number systems

Prime factorization

Greatest common factors (GCF)

Least common multiple (LCM)

Square and square roots

Cubic and cube roots

NS.CO.10.AN02

Demonstrate understanding of irrational numbers by representing, identifying, simplifying, and ordering:

Rational vs. Irrational numbers

Converting repeating decimals to fractions

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.10.AN03

Demonstrate understanding of powers with integral and rational exponents:

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

Scientific notation

Convert between radicals and rational exponents

Solving for exponents

Product rule of exponents

NS.CO.10.AN04

Demonstrate understanding of multiplication of polynomial expressions concretely, pictorially, and symbolically:

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.10.AN05

Demonstrate understanding of common factors and trinomial factoring concretely, pictorially, and symbolically:

Common factors of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

Solving polynomials with the unknown "b" from ax^2 + bx + c

Factoring polynomials: ax^2 + bx + c

Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Evaluating polynomials

Using algebra tiles to factor polynomials

Solving polynomial equations

Word problems of polynomials

NS.CO.10.RF01

Interpret and explain relationships among data, graphs, and situations:

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

NS.CO.10.RF03

Demonstrate understanding of slope with respect to rise and run, line segments, rate of change, parallel and perpendicular lines:

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.10.RF04

Describe and represent linear relations using words, ordered pairs, tables of values, graphs, and equations:

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.10.RF05

Determine characteristics of graphs of linear relations including intercepts, slope, domain, and range:

Introduction to linear equations

Introduction to nonlinear equations

Special case of linear equations: Horizontal lines

Special case of linear equations: Vertical lines

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

Applications of linear equations

NS.CO.10.RF10

Solve problems involving systems of linear equations in two variables graphically and algebraically:

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Solving systems of linear equations by elimination

Solving systems of linear equations by substitution

NS.CO.10.FM01

Solve problems involving unit pricing and currency exchange using proportional reasoning:

Money related questions in linear equations

NS.CO.10.FM02

Demonstrate understanding of income to calculate gross pay and net pay:

Unknown number related questions in linear equations

NS.CO.10.FM03

Investigate personal budgets:

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

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