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LESSON NOTES FOR GRADE 9 ACADEMIC MATH (MPM1D)

(Still under construction. Expected completion date: December 2022, all things being equal.)

Introducing integers
Addition and subtraction of integers
Multiplication and division of integers
Basic exponents
Power of a power
Percents, ratios, rates
Some algebraic terminology
Addition and subtraction of polynomials
Multiplication and division by a monomial
The distributive property
Simple linear equations
Some word problems
Collecting and organizing data
Scatter plots
Lines of best fit
Making conclusions
Using table of values
Investigating linear relations
Representing linear relations
Direct variation
Partial variation
Applying direct and partial variation
Linear vs non-linear relations
Calculating slope
Making connections between equations and graphs
Graphing linear relations using a variety of techniques
Finding equations of lines
Examining parallelism and perpendicularity of lines
Application of linear equations
Finding and interpreting intersection of lines
Area and perimeter recap
Pythagorean theorem and applications
Areas and perimeters of composite figures
Surface areas and volumes of prisms and cylinders
Surface areas and volumes of pyramids, cones, and spheres
Application of surface area and volume
Maximizing area
Minimizing perimeter
Optimal values of surface areas and volumes in cylinders and rectangular prisms
Application of maximum and minimum