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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.AW10.M1
Demonstrate understanding of SI system relationships between units for length, area, volume, capacity, mass, temperature:
Metric systems
Conversions involving squares and cubic
Upper and lower bound
PI.CO.AW10.M2
Demonstrate understanding of imperial system relationships between units for length, area, volume, capacity, mass, temperature:
Conversions between metric and imperial systems
Imperial systems
PI.CO.AW10.M3
Solve and verify problems involving SI and imperial linear measurements including decimal and fractional measurements:
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​
PI.CO.AW10.M4
Solve problems involving SI and imperial area measurements of regular, composite, and irregular 2-D shapes and 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
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​​)
PI.CO.AW10.G2
Demonstrate understanding of Pythagorean theorem identify right triangle situations verify formula apply formula solve problems:
Solving expressions using 45-45-90 special right triangles
Solving expressions using 30-60-90 special right triangles
Pythagorean theorem
Using the pythagorean relationship
Applications of pythagorean theorem
PI.CO.AW10.G3
Demonstrate understanding of similarity in convex polygons including regular and irregular polygons:
Similar triangles
Similar polygons
Isosceles and equilateral triangles
PI.CO.AW10.G4
Demonstrate understanding of primary trigonometric ratios apply similarity to right triangles generalize patterns apply ratios:
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
Use tangent ratio to calculate angles and sides (Tan = o / a)
PI.CO.AW10.G5
Solve problems involving parallel perpendicular and transversal lines and pairs of angles formed between them:
Parallel line equation
Perpendicular line equation
Combination of both parallel and perpendicular line equations
Parallel and perpendicular lines in linear functions
Pairs of lines and angles
Parallel lines and transversals
Parallel line proofs
Perpendicular line proofs
PI.CO.AW10.G6
Demonstrate understanding of angles draw replicate construct bisect solve problems:
Bearings and direction word problems
Angle of elevation and depression
PI.CO.AW10.N1
Solve problems involving unit pricing and currency exchange using proportional reasoning:
Money related questions in linear equations
Rate of change
Applications of linear relations
Ratios
Rates
Proportions
Taxes, discounts, tips and more
Direct variation
Inverse variation
PI.CO.AW10.A1
Solve problems requiring manipulation and application of formulas related to perimeter area Pythagorean theorem:
Evaluating polynomials
Solving polynomial equations
Word problems of polynomials
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)
Unknown number related questions in linear equations
Distance and time related questions in linear equations
Rectangular shape related questions in linear equations
Solving literal equations

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