How does Grade 10 math in PEI differ from Grade 9?

Grade 10 math in PEI introduces more advanced concepts and offers two distinct pathways: Foundations and Pre-Calculus for academic streams, and Apprenticeship and Workplace for applied learning.

Which Grade 10 math course should I choose in PEI?

Choose Foundations and Pre-Calculus 10 for academic paths leading to sciences or advanced math. Select Apprenticeship and Workplace 10 for practical applications in trades or everyday life.

What support is available for Grade 10 math students in PEI?

PEI offers various supports including teacher assistance, online resources, tutoring services, and textbooks. Many schools also provide extra help sessions and peer tutoring programs.

What are the key learning expectations for Grade 10 math in PEI?

Students are expected to master algebraic concepts, problem-solving skills, and critical thinking. Foundations focuses on abstract math, while Apprenticeship emphasizes practical applications.

How difficult is the Foundations and Pre-Calculus 10 course?

Foundations and Pre-Calculus 10 is challenging, introducing complex algebraic concepts and trigonometry. It requires strong analytical skills and dedication but prepares students for advanced math courses.

What career paths does Apprenticeship and Workplace 10 support?

Apprenticeship and Workplace 10 supports careers in trades, technical fields, and service industries. It provides practical math skills for construction, culinary arts, retail, and various apprenticeships.

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Grade 10 Math Courses - PEI Curriculum

Discover PEI's Grade 10 math options: Foundations and Pre-Calculus 10 for academic paths, and Apprenticeship and Workplace 10 for applied learning. Choose the course that aligns with your future goals.

PEI Grade 10 Math Curriculum - Foundations and Pre-Calculus Topics

CO_ID	Curriculum Outcome	StudyPug Topic
PI.CO.FP10.M1	Compare quantities within SI and Imperial units using estimation and measurement strategies:	Conversions between metric and imperial systems Metric systems Imperial systems Conversions involving squares and cubic Upper and lower bound

PI.CO.FP10.M3

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

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

PI.CO.FP10.M4

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)

PI.CO.FP10.AN1

Demonstrate understanding of factors of whole numbers:

Understanding the number systems

Prime factorization

Greatest common factors (GCF)

Least common multiple (LCM)

Square and square roots

Cubic and cube roots

PI.CO.FP10.AN2

Demonstrate understanding of irrational numbers:

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

PI.CO.FP10.AN3

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

PI.CO.FP10.AN4

Demonstrate understanding of multiplication of polynomial expressions:

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

PI.CO.FP10.AN5

Demonstrate understanding of common factors and trinomial factoring:

PI.CO.FP10.RF1

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

PI.CO.FP10.RF2

Demonstrate understanding of relations and functions:

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

PI.CO.FP10.RF3

Demonstrate understanding of slope:

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)

Rate of change

PI.CO.FP10.RF4

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

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

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

PI.CO.FP10.RF5

Determine characteristics of graphs of linear relations:

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

PI.CO.FP10.RF6

Relate linear relations expressed in different forms to their graphs:

Money related questions in linear equations

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

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