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Grade 10 Academic Math (MPM2D) - Principles of Mathematics
1.1 - Graphing Lines and Translating English to Mathematics
PDF for Questions Below
1) Create Algebraic Expression from Phrase (video)
2) Create Algebraic Equation from Phrase (video)
3) Find Point of Intersection by Graphing Example 1 (video)
4) Find Point of Intersection by Graphing Example 2 (video)
5) Find Point of Intersection by Graphing Example 3 (video)
6) Comparing Costs of Two Companies Word Problem (video)
7) Comparing Two Earnings Systems Word Problem (video)
8) Comparing Two Investment Rates Word Problem (video)
1.2 - Solving Linear Systems with Substitution
PDF for Questions Below
1) Substitution Example 1 (video)
2) Substitution Example 2 (video)
3) Substitution Example 3 (video)
4) Substitution Example 4 (video)
5) Substitution Example 5 (video)
6) Substitution Example with Fractions 1 (video)
7) Substitution Example with Fractions 2 (video)
8) Substitution Word Problem 1 (video)
9) Substitution Word Problem 2 (video)
10) Substitution Word Problem 3 (video)
11) Substitution Word Problem 4 (video)
12) Substitution Word Problem 5 (video)
13) Find Constant if 3 Lines Intersecting at Same Point (video)
14) Solve for 3 Variables with Substitution 1 (video)
15) Solve for 3 Variables with Substitution 2 (video)
1.3 - Equivalent Linear Relations and Systems
PDF for Questions Below
1) Which of These Lines are Equivalent? (video)
2) Find a Constant to Make Lines Equivalent 1 (video)
3) Find a Constant to Make Lines Equivalent 2 (video)
4) Create a Linear System given Solution (video)
1.4 - Solving Linear Systems by Elimination
PDF for Questions Below
1) Elimination Example 1 (video)
2) Elimination Example 2 (video)
3) Elimination Example 3 (video)
4) Elimination Example 4 (video)
5) Elimination Example 5 (video)
6) Infinite vs No Solutions with Elimination (video)
7) Linear System Word Problem with Elimination 1 (video)
8) Linear System Word Problem with Elimination 2 (video)
9) Linear System Word Problem with Elimination 3 (video)
10) Linear System with Elimination + Extra Algebra (video)
11) Linear System with Elimination + Decimals (video)
12) Linear System with Elimination + Fractions 1 (video)
13) Linear System with Elimination + Fractions 2 (video)
14) Linear System with Elimination + No Numbers (video)
15) Solve for 3 Variables with Elimination (video)
1.5 - Solving Linear System Word Problems
PDF of Questions Below
Linear Systems Word Problem 1 (video)
Linear Systems Word Problem 2 (video)
Linear Systems Word Problem 3 (video)
Linear Systems Word Problem 4 (video)
Linear Systems Word Problem 5 (video)
Linear Systems Word Problem 6 (video)
Linear Systems Word Problem 7 (video)
Linear Systems Word Problem 8 (video)
Linear Systems Word Problem 9 (video)
Linear Systems Word Problem 10 (video)
Linear Systems Word Problem 11 (video)
Linear Systems Word Problem 12 (video)
Linear Systems Word Problem 13 (video)
Linear Systems Word Problem 14 (video)
Linear Systems Word Problem 15 (video)
Linear Systems Word Problem 16 (video)
Linear Systems Word Problem 17 (video)
Linear Systems Word Problem 18 (video)
Linear Systems Word Problem 19 (video)
Linear Systems Word Problem 20 (video)
Linear Systems Word Problem 21 (video)
Linear Systems Word Problem 22 (video)
Linear Systems Word Problem 23 (video)
Linear Systems Word Problem 24 (video)
2.1 - Midpoint of a Line Segment
PDF of Questions Below
1) Midpoint of a Line Segment Overview (video)
2) Find Equation of Median (video)
3) Find Other Endpoint given Endpoint & Midpoint (video)
4) Find Right/Perpendicular Bisector of a Line (video)
5) Find Median and Right Bisector on Same Triangle (video)
6) Find Diameter Point(s) given Points of Radius (video)
7) Dividing a Line Segment into 3 Equal Parts (video)
8) Tricky Thinking Problem Dealing with Midpoint (video)
9) Multiple Midpoints In A Line Segment (video)
10) Find Missing Coordinates using Midpoint (video)
2.2 - Length of a Line Segment
PDF of Questions Below
1) Length of a Line Segment Calculation (video)
2) Length of Radius in Circle (video)
3) Finding Missing Coordinate giving Length of Line Segment (video)
4) Show a Triangle is Isosceles with Length of Line Formula (video)
5) Show a Triangle is Equilateral with Length of Line Formula (video)
6) Find Two Other Coordinates on Equilateral Triangle (video)
7) Find Length of Median in Triangle (video)
8) Determine Area of Right Triangle (video)
9) Verify Midpoint of a Line Segment with Length Formula (video)
10) Triangle Midpoint Theorem (video)
11) List Coordinates that Are Certain Length from Other Point (video)
2.3 - Slope vs Midpoint vs Length of Line Segments
PDF of Questions Below
1) Verify a Right Triangle (video)
2) Verify a Point Lies on Right/Perpendicular Bisector (video)
3) Verify a Quadrilateral is a Parallelogram (video)
4) Find the 4th Point of a Parallelogram (video)
5) Shortest Distance of Point to Line Overview + Example 1 (video)
6) Shortest Distance of Point to Line Example 2 (video)
7) Shortest Distance of Point to Line Example 3 (video)
8) Shortest Distance of Point to Line Example 4 (video)
9) Find Equation of an Altitude (video)
10) Find the Area of a Triangle using Altitude (video)
2.4 - Circles
PDF of Questions Below
1) State the Radius of a Circle and Provide Coordinate (video)
2) Find Equation of Circle given Coordinate (video)
3) Find Whether Point Lies Within, On our Outside of Circle (video)
4) Find Equation of Circle given Endpoints of Diameter (video)
5) Perpendicular Bisector of Chord Example 1 (video)
6) Perpendicular Bisector of Chord Example 2 (video)
7) Perpendicular Bisector of Chord Example 3 (video)
8) Stone Drops in Water Word Problem (video)
9) Draw Regions Within, Outside, In Between Circles (video)
10) Tricky Problem Dealing with Circles (video)
11) Find Area of Region Bounded by Lines and Circle (video)
12) Find Equation of Circle Centred Other than Origin (video)
13) Finding the Circumcentre of a Circle (video)
3.1 and 3.2 Investigate and Verify Properties of Triangles
PDF of Questions Below
1) Median Bisects a Triangle's Area (Video)
2) Median and Altitude Coincide in an Isosceles Triangle (video)
3) Centroid vs Circumcentre vs Orthocentre (video)
4) Distance from Midpoint of Hypotenuse to 3 Vertices (video)
5) Centroid Splits Median into 2:1 Ratio (video)
6) Find Unknown Angles in Isosceles Triangle (video)
7) Three Cases of Circumcentre of Triangle (video)
8) Verify Circumcentre Lies on Hypotenuse of Right Triangle (video)
9) Pythagorean Inequality - Tool to Classify Triangles (video)
10) Classifying Triangles Example 1 (video)
11) Classifying Triangles Example 2 (video)
12) Classifying Triangles Example 3 (video)
13) Verifying Triangle and Medial Triangle are Similar (video)
14) Triangle Midpoint Theorem with No Numbers (video)
15) Circumcentre of Triangle = Orthocentre of Medial Triangle (video)
16) Centroid of Triangle vs Centroid of Medial Triangle (video)
3.3 - Investigate Properties of a Quadrilateral
PDF of Questions Below
1) The Diagonals of a Parallelogram (video)
2) The Midpoints of Any Quadrilateral Forms a Parallelogram (video)
3) Trapezoid Midsegment Theorem Overview (video)
4) Trapezoid Midsegment Theorem Example 1 (video)
5) Trapezoid Midsegment Theorem Example 2 (video)
6) Trapezoid Midsegment Theorem Example 3 (video)
3.4 - Verify Properties of Quadrilateral
PDF of Questions Below
1) Verify a Quadrilateral is a Trapezoid (video)
2) Verify a Quadrilateral is a Rhombus (video)
3) Verify a Quadrilateral is a Kite + One Diagonal Bisects (video)
4) Verify a Rectangle + Diagonals Bisect (video)
5) Verify a Quadrilateral is a Square + Diagonals Bisect at Right Angles (video)