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

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Math 20 Tutors in Calgary

ANYONE CAN LEARN MATH! Sometimes you just need a little bit of help. Our tutors specialize in Alberta Curriculum. Gain a deeper understanding that promotes problem solving.

Alberta Program Overview

Specific Units:

Coding with Sharp Series Pre-Calculus 11 Student Book
McGraw-Hill Ryerson iWrite Math Pre-Calculus Mathematics Book 11 (AVP) by Greg Ranieri, Alan Appleby ## Stuck with Homework?

Submit a grade 10-12 homework question!

## Worksheets, Tests, and Automated Quizzes

Math 20-1 Practice Exams:

Assessment: Chinook Learning Services: Mathematics 20-1 or 20-2 or 20-3 Placement Test

## Competitions

Fermat Contest Mathematics Contests, for Grade 11

American Mathematics Contest 10/12 (AMC 10/12)

## 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

BC Math: Math 11

# Shortcuts

 Patterns, Sequence and Series Functions, in general Equations, Quadratic Plotting (Graphing) a Quadratic Function Exponents (Powers) and Radicals Radicals (Square Roots) and Equations Reciprocal Functions Absolute Value Functions and Equations Function Transformations (Stretching, Inverse, ...) Systems of Equations Inequalities Similarity in Triangles Right Triangle Trigonometry Trigonometry click here for solutions Math 20-1 Textbook pdf Summer 2019 - Math 20-1 Lesson Plan Math 20-1 Notes and Answers Solutions are written in hand-writing and often shorthand was used. Click here to view the shorthand dictionary. Unit 1.2 Extend Unit 1.3 Example 3, page 36 - formula Extend Create Connections Unit 2.1 Practise Extend Unit 2.2 Apply Unit 9.3 Apply

# Topics

## Patterns, Sequences and Series

(back to Shortcuts...) Formulas and Summeries
Arithmetic Sequences and Series
Cumulative Exam

Geometric Sequences and Series
Arithmetic Sequences https://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html Convergent and Divergent Series
Geometric Sequences https://www.mathsisfun.com/algebra/sequences-sums-geometric.html Calculating Sn Sums

## Functions, in general

Explaining
y = f(x) Functions Catalog

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

http://carlisleschools.ss13.sharpschool.com/cms/One.aspx?portalId=95563&pageId=768692
Piecewise Functions https://www.mathsisfun.com/sets/functions-piecewise.html

Lessons and Notes

Scroll down to: Unit 3: Chapters 3 and 4 (these are Video presentations).

Art of Problem Solving: Vieta for Quadratics Part 1

Art of Problem Solving: Vieta for Quadratics Part 2

Standard Form
How to convert from standard form to vertex form:

### Complete the Square

Complete the Square complete_the_square.html

Mathisfun, Examples how to solve https://www.mathsisfun.com/algebra/completing-square.html

Complete the Square Exercises on IXL https://ca.ixl.com/math/grade-10/complete-the-square

Reconstructing a quadratic function from its roots and y-intercept into factored form y = a(x - x1)(x - x2)

Looking to get a head start in Chemistry?

Try the Kindle version at: https://www.amazon.ca/dp/B07BR5FH29 ### Various topics Parabola Interactive Activity on Desmos https://teacher.desmos.com/activitybuilder/custom/56fade8fcd70f60d1ca0ca05

### Review

Graphical Solutions
http://www.analyzemath.com/Graphing/graphing_square_root_func.html

https://www.mathway.com/popular-problems/Algebra/279714

Lessons and Tools

### Factoring Polynomials

Factoring Polynomials review misc/factoringPolynomials.html

Divisibility Review

misc/factoringPolynomials.html#Divisibility
Algebraic Expressions, remembering formulas

Algebraic Expressions

Polynomials, Factoring
slide show

### Solving Equations

The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.

Forms with a=0, that yield ax2 + bx + c = bx + c only, are not considered quadratic, but rather linear.

## Plotting (Graphing) a Quadratic Function

Terms, Formulas, and Plotting

(back to Shortcuts...)

math10C.html#Exponents1
Formulas Formulas and Cheat-Sheets

Book online, Exponents and Roots Chapter http://www.jamesbrennan.org/algebra/chapter_8.htm

## Reciprocal Functions

Reciprocal Functions Slide Show

Reciprocal functions (not to be confused with the inverse of a function!)

https://www.mathsisfun.com/sets/function-reciprocal.html
Tutorial, Graphing reciprocal functions

Graphing Reciprocal Functions

## Absolute Value Functions and Equations

Graphing https://www.purplemath.com/modules/graphabs.htm

https://www.mathsisfun.com/sets/function-absolute-value.html

## Radicals (Square Roots) and Equations

Debating Extraneous Roots in Radical Equations

## Systems of Equations

Linear Equations with Two Variables http://map.mathshell.org/lessons.php?unit=9235&collection=8
Systems of Linear Equations https://njctl.org/courses/math/algebra-i/systems-of-linear-equations/

## Inequalities

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

## Rational Expressions and Equations

Solving https://www.purplemath.com/modules/solvrtnl.htm

Tutorial http://tutorial.math.lamar.edu/Classes/Alg/RationalExpressions.aspx

## Similarity in Triangles

What is necessary in two triangles to conclude similarity? SAS Triangle Similarity Theorem
SSS Triangle Similarity
AA Similarity

How to Find if Triangles are Similar

https://www.mathsisfun.com/geometry/triangles-similar-finding.html
Similar Triangles & Trigonometry File https://njctl.org/courses/math/geometry/similar-triangles-trigonometry/attachments/similar-triangles-trigonometry-2/

## Function Transformations (Stretching, Inverse, ...)

- this is a grade 12 (math 30-1) but applies to grade 11 (math 20-1) as well.

lessons/gr12/stretchingFunctions.html
Transformations to Parabolas, The Effects of Change
Function Transformations
Vertical and Horizontal Transformations

Stretch and Compression

Transforming the square-root function

The Inverse of a Function The Inverse of a Square Root Function

https://www.mathsisfun.com/sets/function-inverse.html

## Trigonometry

(back to Shortcuts...)

Index cards for angle terminology
Angle Terminology P1

Angle Terminology P2

pdf/ffc-trig practice circle.pdf

Introduction to Triangle Trigonometry

The sine law https://www.mathsisfun.com/algebra/trig-sine-law.html

The law of cosines https://www.mathsisfun.com/algebra/trig-cosine-law.html

Various Lessons

Trigonometry (on shelovesmath.com)
Understanding the Unit Circle

Khan Academy - The Unit Circle

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