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If you are serious about Math...Don't just follow the normal curriculum, aim higher, try for example competition material.American Mathematics Contest 10/12 (AMC 10/12) AMC Problems and Solutions: AMC 10 Problems and Solutions by AoP (Text version).Many of these problems also have solutions presented in video tutorials on the AoP YouTube channel. Search the channel to check in a solution is available, for example: Video Solution:
Art of Problem Solving: 2017 AMC 10 A #22
Digital Toolshttp://www.shodor.org/interactivate/tools/ Additional CompetitionsCayley Contest Mathematics Contests, for Grade 10 Fermat Contest Mathematics Contests, for Grade 11 Euclid Contest Mathematics Contests, for Grade 12
Worksheets and Automated QuizzesGrade 10 Worksheets (+answers and automated tests) Nelson Mathematics 10 Online Study Guide TestsAssessment: Chinook Learning Services: Mathematics 201 or 202 or 203 Placement Test In Person...
Math Nite will be running every Wednesday from 6pm8pm in MS431
at the University of Calgary, from the following dates:
See also the JAMES Mathematics Circle.
Articles Does our approach to teaching math fail even the smartest kids? Why Science Majors Change Their Minds (It’s Just So Darn Hard) (2011)
"...The excitement quickly fades as students brush up against the reality of what David E. Goldberg, an emeritus engineering professor, calls “the mathscience death march.” Freshmen in college wade through a blizzard of calculus, physics and chemistry in lecture halls with hundreds of other students. And then many wash out."

Specific Topics 
ConicsTry the activities first. Scroll further down for lesson. 

Activity: 
Experiment with the circle.  
Activities: 
Play with the parameters that influence the parabola, find the roots. 

Focus of the Parabola  use the mouse to drag the Focus and see the effect on the parabola's curve. 

Experiment with the effect of coefficient
a on the
parabola. ax^{2}+bx+c ("standard form") 

ax^{2}+bx+c 
when messing with the
b
of this function, the Min point of the
parabola moves along its own similar
parabola. Use Desmos and your own calculations to figure out what is the formula/function for the trajectory that the Min point incurs during changes to b. Click here for one possible solution. 

Use your 3D printer to create a "live" parabola.  https://www.youtube.com/watch?v=mqRisANuWE  
Interactive Tool: Manipulate the Sections of a Cone  https://illuminations.nctm.org/Activity.aspx?id=3506  
Interactive Tool: Manipulate the Sections of a Cone  http://www.shodor.org/interactivate/activities/CrossSectionFlyer/  
Conics in Generals 
see also
these formulas: or on .teacherspayteachers.com. 
Conic Sections (animation) 
Lessons on Conics 
http://www.shelovesmath.com/precal/conics/  
https://njctl.org/courses/math/precalculus/conics/  
https://illuminations.nctm.org/Lesson.aspx?id=2907  
Activities and Exploration 
Use Google SketchUp (free) (see also SketchUp tutorials) 

Project: Using Conics to build Baymax  
Polynomials 

Lessons  http://tutorial.math.lamar.edu/Classes/Alg/Polynomials.aspx  
see also Factoring Polynomials  
Complete the Square 

How to  complete_the_square.html  
Mathisfun, Examples how to solve  https://www.mathsisfun.com/algebra/completingsquare.html  
Exercises on IXL  https://ca.ixl.com/math/grade10/completethesquare  
Polynomials, Factoring 

Before you begin working on this
concept: Part I 
There should be a good understanding of how the simplest brackets work first. When this fails it becomes a huge obstacle for the entire p. factorization concept. Practice extracting simple factors out in front of brackets.
Example First, a factor distributes to all elements in the brackets when expanding the expression. Now learn to recognize this in reverse: “a” is multiplied in both expressions. Recognize it as a factor that can play its role in front of brackets. Practice creating brackets from simple expressions. Click here if you have difficulty with this part... 

Before you begin working on this
concept: Part II 
Recognizing the
major algebraic formulas in reverse is very useful in factorizing polynomials as it gives immediate results.
For example: a^{2}  b^{2} should be immediately recognized in its factorized form simply based on the formula (a+b)(ab) Or for example should always be recognized as 

Factoring Methods  
Factoring Methods, Advanced  http://www.shelovesmath.com/algebra/advancedalgebra/advancedfactoring/  
What is Factorizing Polynomials? 
More on Factorizing Polynomials here. 

Divisibility of numbers is a useful concept for factoring polynomials: 
Quick ways to determine divisibility: A number is divisible by 2 if it terminates with 2, 4, 6, 8, or 0. A number is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 4 if the last two digits are divisible by 4. A number is divisible by 5 if it terminates with 5 or 0. A number is divisible by 6 if it is divisible by both 2 and 3. A number is divisible by 8 if the last three digits are divisible by 8. A number is divisible by 9 if the sum of digits is divisible by 9. A number is divisible by 10 if it terminates with 0. 

Worksheet 2.6 Factorizing
Algebraic Expressions (PDF Download) 

Lectures and Practice 
https://www.khanacademy.org/math/algebra/polynomialfactorization 

Factoring Trinomials Tips and Tricks  
Practice and solutions  http://tutorial.math.lamar.edu/Classes/Alg/Factoring.aspx  
Art of Problem Solving: Simon's Favorite Factoring Trick  
Criss Cross Method (why does it work?) 


Factoring Trinomials 


Various
Calculators on Wolfram 
https://www.wolframalpha.com/examples/mathematics/algebra/


Factoring
Calculator on Wolfram https://www.wolframalpha.com/input/?i=6x%5E2++x++2 

Linear Functions(see first: Functions) 
What does "Linear" mean? "Linear" is anything that represents the formula of a line. This can be linear equations, linear graphs, linear progressions, etc. The typical formula for a line is given as: y = mx + b, where m is the slope of the line and b is its yintercept. 

Lessons  
Lessons  http://www.shelovesmath.com/algebra/beginningalgebra/coordinatesystemandgraphinglines/  
Graphing Linear Equations  https://njctl.org/courses/math/algebrai/graphinglinearequations/  
Solving and Graphing Linear Inequalities  https://njctl.org/courses/math/algebrai/solvingandgraphinglinearinequalities/  
Parallel and Perpendicular Lines  http://map.mathshell.org/lessons.php?unit=9220&collection=8  
Practice: Parallel Lines  
Practice Exercises Domain and range Plug in values Table of values Finding points on the graph Intercepts and points on the graph (p.17) Graphing volume (p.18) Interpreting Graphs 
http://www.math10.ca/lessons//UnitBooks/Math10C_Workbook_Unit4.pdf  
Practice: Shortest Distance between a Point and Line  Equations of Lines  
Practice:
Given a line y = mx + b, find the formula of a parallel line at a distance d. 

Practice:
Shortest distance between two parallel lines (based on the solution above): 
Problems that require finding the shortest distance between two parallel lines: Using the above formula, we can isolate the distance d. This is assuming that the two line formulas are given. In other words:  m & b1 are known,  and b2 the parallel line's yintercept is also given (or can be calculated). Since the distance is a length, taking the positive value is what we want. 

Practice EXAM  http://www.math10.ca/lessons/relationsAndFunctions/practiceExam/Math10C_PracticeExam_RelationsAndFunctions.pdf  
Quadratics 
Lessons and Notes 
http://www.shelovesmath.com/algebra/intermediatealgebra/quadratics/
Math 201: https://www.sachs.gsacrd.ab.ca/eteachers/1151/math201 Scroll down to: Unit 3: Chapters 3 and 4 (these are Video presentations).
Math 202: https://www.sites.google.com/site/sharonbarrymath/mathematics202/chapter7quadraticequations

Art of Problem Solving: Vieta for Quadratics Part 1  
Art of Problem Solving: Vieta for Quadratics Part 2  
Quadratic Function  Vertex Form  https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html  
Desmos: Quadratic Classroom Activities  https://teacher.desmos.com/quadratic  
Parabola Interactive Activity on Desmos  https://teacher.desmos.com/activitybuilder/custom/56fade8fcd70f60d1ca0ca05  
Review: 
Quadratic Theory  Warmup
Questionnaire Answers 

Functions 


Explaining y = f(x) 


Functions Catalog 

Functions vs. Relations 
http://www.learnalberta.ca/content/memg/Division04/Relation/index.html


Piecewise Functions 
https://www.mathsisfun.com/sets/functionspiecewise.html


Function Transformations Vertical and Horizontal Transformations 
Stretch and Compression 

Transforming the squareroot function (Khan Academy) 
https://www.khanacademy.org/math/algebra2/radicalequationsandfunctions/graphsofradicalfunctions/v/flippingshiftingradicalfunctions


The Inverse of a Function 
The Inverse of a Square Root Function https://www.mathsisfun.com/sets/functioninverse.html 

Function Operation and Composition 
http://blumalg2.blogspot.com/2018/08/august222018functionoperationsand.html
http://www.purplemath.com/modules/fcnops.htm https://www.mathsisfun.com/sets/functionscomposition.html 

Reconstructing a function from its roots and yintercept into
factored form y = a(x  x1)(x  x2) 
https://www.youtube.com/watch?v=ETexFVlpXYQ  
Graphing square root functions 
http://www.analyzemath.com/Graphing/graphing_square_root_func.html
https://www.mathway.com/popularproblems/Algebra/279714 

Equations 

Lessons and Tools  https://www.ck12.org/search/?q=equations&subject=algebra&subject=calculus&source=ck12&grade=10&grade=11&grade=12  
Linear Equations with Two Variables  http://map.mathshell.org/lessons.php?unit=9235&collection=8  
Systems of Linear Equations  https://njctl.org/courses/math/algebrai/systemsoflinearequations/  
Exponent Laws 
The rules:  
What is an "Integral exponent"?  An "Integral exponent" is
an exponent that is a whole number (opposite to the powers of radicals for example which are 1/n, i.e. fractional) . 

Threedimensional Vectors 


Activity 
Use Tinkercad to model 3D vectors from the video below. 
Imaginary and Complex Numbers 

Complex Numbers: Introduction  http://www.purplemath.com/modules/complex.htm  

Lesson  Part I (see the entire series here) 

Complex Numbers  http://www.mathsisfun.com/numbers/complexnumbers.html  
Geometry 

Interactive: Circle & Line Geometry  
Interactive: IncenterIncircle  
Interactive: Angle Bisector  
Angles Parallel Lines Triangles Similar Triangles and Trigonometry Congruent Triangles Circles Transformations Quadrilaterals Area of Figures 
https://njctl.org/courses/math/geometry/  
3D Geometry 

Activity  Use Tinkercad to identify the cross section of 3D objects.  
Build a hypercube  
Cavalieri's Principle (Volume)  
The Volume of a Cone  
Analytic Geometry (= Coordinate Geometry = Cartesian Geometry) 

Origin of Analytic Geometry Distance Formula Midpoint Formula Partitions of a Line Segment Slopes of Parallel and Perpendicular Lines Eq of Parallel and Perpendicular Lines Triangle Coordinate Proofs Equation of a Circle and Completing the Square 
https://njctl.org/courses/math/geometry/analyticgeometry/  
Inductive Reasoning and Making a Conjecture  
Khan Academy 
https://www.khanacademy.org/math/algebrahome/algseriesandinduction#algdeductiveandinductivereasoning  
Activity: Leap Frog Numbers Patterns (Needs Flash) 
https://brocku.ca/mathematics/resources/learningtools/learningobjects/frogs/fullscreendemo.html  
Probability and Statistics  
Lessons 
http://map.mathshell.org/lessons.php?unit=9400&collection=8&redir=1
https://njctl.org/courses/math/7thgrade/statisticsprobability/ 

Khan Academy lessons  https://www.khanacademy.org/math/statisticsprobability  
Bad feelings about math beget bad grades — which beget more bad feelings
Girls rank themselves less competent in math than boys, even when getting the same grades
Stephen McCormick: a mathematician who nearly failed math
How math is helping subSaharan maize farmers


Free online
version available.. This book is also available in Kindle format. 
Chapters have Self Grading Quizzes Topics include: Sierpinski Triangles, Menger Sponge, Fractals Fibonacci and The Golden Ratio. 
Currently (Dec 2017), free on Kindle. 
A Book of Abstract Algebra Charles C. Pinter 

Elementary Linear Algebra Howard Anton, Chris Rorres 
Make It Stick offers techniques for becoming more productive learners, and cautions against study habits and practice routines that turn out to be counterproductive  By road testing many of the counterintuitive techniques described in this book, Carey shows how we can flex the neural muscles that make deep learning possible.  
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