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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.

Foundations and Pre-Calculus 10

Apprenticeship and Workplace 10

PEI Grade 10 Math Curriculum - Foundations and Pre-Calculus

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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:
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
Factor by taking out the greatest common factor
Factor by grouping
Factoring difference of squares: x2−y2x^2 - y^2x2−y2
Factoring trinomials
Factoring difference of cubes
Factoring sum of cubes
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=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}d=(x2​−x1​)2+(y2​−y1​)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=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)M=(2x1​+x2​​,2y1​+y2​​)
Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=x2​−x1​y2​−y1​​
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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