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Digital Tools 
Alberta Program Overview Specific Units: 10Level Courses (follow the link to read about 10C, 103 and 104 program of studies).
Online Lessons: Math 10C, 103, 201, 202, 301
BC Math: Math 10 
Recommended Text Book Mathematics 10 Practice and Homework Book: Exercise and Homework Book 
This Page is Sponsored by Sharp Series 

Worksheets and Automated QuizzesGrade 10 Worksheets (+answers and automated tests) Nelson Mathematics 10 Online Study Guide
Tests Online
Math in Person...
Math Nite will be running every Wednesday from 6pm8pm in MS431
at the University of Calgary, from the following dates:

CompetitionsCayley Contest Mathematics Contests, for Grade 10 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

see also Divisibility Surface Area and Volume 
See also exponent and radicals index cards. 
Additional Books for
Math 10C FOUNDATIONS OF MATHEMATICS AND PRECALCULUS 10 WORKBOOK by Greg Ranieri, Alan Appleby 
3D Geometry 

Activity  Use Tinkercad to identify the cross section of 3D objects.  
Build a hypercube This page is sponsored by: 

Cavalieri's Principle (Volume)  
The Volume of a Cone  
Exponent Laws 
The rules:  
What is an "Integral exponent"?  An "Integral exponent" is
an exponent that is a whole number (in contrast to the powers of radicals for example which are 1/n, i.e. fractional) 

see also  Exponent and radicals index cards 
Irrational Numbers 
To understand irrational numbers, first we must understand rational ones. 
Definition: Rational Numbers Do not think "rational" as in logical. Think as in "ratio", a.k.a. fraction. Rational numbers as such that can be accurately reverse engineered from their decimal form back into their fraction, or rather ratio  and thus are rational. Any decimal number with a finite number of digits is such, and any decimal with a group of digits that infinitely repeat after the decimal point is also such. 
Definition: Irrational Numbers  Irrational is the opposite of Rational. That is you cannot
accurately reverse engineer from the decimal form back to a
parent ratio (or fraction)  and thus such number is not
rational,
or we say it is rather
irrational. You can create a fraction that is an approximation of that decimal, but it will not be an exact value and when reverting the fraction back into decimal you may get a somewhat different rounding than the one you started with. How do Irrationals look like typically? Irrational numbers appear as decimals with an infinite number of digits that do not repeat, and cannot be predicted. Such decimal number was most likely accomplished via a division that never stopped, and you were forced to round up so you can stop dividing. An example is Pi = π = 3.14159.... π is calculated via the division of any circle's circumference by its diameter. Another example is e, Euler's number, the same e as seen in natural logarithms. Read more about irrational numbers here. The problem is how do we know that a number is truly irrational and it's not that we just gave up to soon on the steps of a division? The number e bears Euler's name because he was the first to prove the number has an infinite number of decimals and there is no pattern of repetitions, and thus is irrational. 

Converting Decimals to Fractions 
https://www.mathsisfun.com/convertingdecimalsfractions.html 
Linear Functions 

Explaining
functions: y = f(x) 


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. 

Lesson (slide show) 


This page is sponsored by: 

Problem
solving Find the intercepts and draw the graph y = 4x8 


Lessons and other resources 
https://mathsradical.weebly.com/functions.html https://www.shelovesmath.com/algebra/beginningalgebra/coordinatesystemandgraphinglines/ https://carlisleschools.ss13.sharpschool.com/cms/One.aspx?portalId=95563&pageId=768700


Graphing Linear Equations  https://njctl.org/courses/math/algebrai/graphinglinearequations/  
Solving and Graphing Linear Inequalities 
https://njctl.org/courses/math/algebrai/solvingandgraphinglinearinequalities/
Videos: An Introduction To Solving Linear Inequalities  Example 1 An Introduction To Solving Linear Inequalities  Example 2 An Introduction To Solving Linear Inequalities  Example 3 Solving Linear Compound Inequalities  Example 1 Solving Linear Compound Inequalities  Example 2 Solving Linear Compound Inequalities  Example 3 

Parallel and Perpendicular Lines  https://map.mathshell.org/lessons.php?unit=9220&collection=8  
Practice: Parallel Lines  
Practice Exercises (PDF download) 
https://www.mchs.gsacrd.ab.ca/eteacher_download/1353/79308 

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. 

see also: https://njctl.org/courses/math/geometry/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 

Graphing a linear equation 


Practice EXAM 
https://courses.lumenlearning.com/epccatdcoursereviewcollegealgebra12/chapter/linearfunctionspracticetest/ (press Next at the bottom for solutions to this exam) 

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  https://map.mathshell.org/lessons.php?unit=9235&collection=8  
Systems of Equations 

Systems of Linear Equations  https://njctl.org/courses/math/algebrai/systemsoflinearequations/  
Solve linear systems visually/graphically 


Solving linear systems by substitution 


Solving systems of equations by elimination 


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