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math 10C (gr 10)
math 20-1 (gr 11)
math 30-1 (gr 12)
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Math 10C

Topics shortcuts

 

Stuck with Homework?

Submit a grade 10-12 homework question!

 

Digital Tools

http://www.shodor.org/interactivate/tools/

https://www.desmos.com/

Alberta Program Overview

Specific Units:

10-Level Courses (follow the link to read about 10C, 10-3 and 10-4 program of studies).

 

Online Lessons:

Math 10C, 10-3, 20-1, 20-2, 30-1

Mathematics 10C: Videos   https://www.youtube.com/playlist?list=PLnTWk9RKbE7s6CFhfvX6nj0JP0KVQ9Y-g

 

BC Math: Math 10

Recommended Text Book
Mathematics 10 Practice and Homework Book: Exercise and Homework Book
 
 

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Worksheets and Automated Quizzes

Grade 10 Worksheets (+answers and automated tests)

Nelson Mathematics 10 Online Study Guide

 

Tests Online

10 ACT Practice Tests (PDF)

 

Math in Person...

Math Nite will be running every Wednesday from 6pm-8pm in MS-431 at the University of Calgary, from the following dates:
September 20th, 2017 to December 6th,
2017 January 17th, 2018 to April 11th, 2018.
More detailed information about Math Nite can be found here: http://www.math.ucalgary.ca/community_outreach/math_nite

Competitions

Cayley 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

Text version: select the year here, test A or B, next pick the problem or answer key: for ex. problem 22 solution in text version is here.

  Shortcuts

3D Geometry

Algebraic Expressions

Equations

Exponent Laws

Irrational Numbers

Linear Functions

Polynomials and Factoring

     see also Divisibility

Right Triangle Trigonometry

Surface Area and Volume

Systems of Equations 

See also exponent and radicals index cards Additional Books for Math 10C
FOUNDATIONS OF MATHEMATICS AND PRE-CALCULUS 10 WORKBOOK
by Greg Ranieri, Alan Appleby

Topics

3D Geometry

(back to Shortcuts...)

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

Exponent Laws

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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 
 

    

Linear Functions

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  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 y-intercept.

  Lesson (slide show)

 
  Problem solving
Find the intercepts and draw the graph y = 4x-8

 
Lessons and other resources

http://mathsradical.weebly.com/functions.html

http://www.shelovesmath.com/algebra/beginning-algebra/coordinate-system-and-graphing-lines/

http://carlisleschools.ss13.sharpschool.com/cms/One.aspx?portalId=95563&pageId=768700

 

Graphing Linear Equations https://njctl.org/courses/math/algebra-i/graphing-linear-equations/
Solving and Graphing Linear Inequalities https://njctl.org/courses/math/algebra-i/solving-and-graphing-linear-inequalities/

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 http://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 y-intercept 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/epcc-atdcoursereview-collegealgebra-1-2/chapter/linear-functions-practice-test/
(press Next at the bottom for solutions to this exam)
     

Equations

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  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 Equations

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  Systems of Linear Equations https://njctl.org/courses/math/algebra-i/systems-of-linear-equations/
  Solve linear systems visually/graphically 
 
Solving linear systems by substitution
 
  Solving systems of equations by elimination
 
     
 

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