Academix

A Non-profit Organization to Help Students Study, Explore, and Engage

K-2
grade 4
grade 5
grade 6
grade 7
grade 8
grade 9
math 10C (gr 10)
math 20-1 (gr 11)
math 30-1 (gr 12)
Postsecondary
Lending Library

Math 20-1 (grade 11)

Shortcuts to Topics

(ALL FORMULAS for Math 20-1)

 

Math 20 Tutors in Calgary

Math 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:

20-1 Program of Studies

20-Level Courses

 

 

Grade 11, Math 20-1 Textbooks  

 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!

 

Digital Tools

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

https://www.desmos.com/

 

Worksheets, Tests, and Automated Quizzes

Various Quizzes organized by Unit

Math 20-1 Practice Exams:

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

https://lslmath.weebly.com/practice-test-math-20-1.html

 

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

Online Lessons


Math 20-1 Lessons (YouTube videos)

BC Math: Math 11

 

https://leongmath.wordpress.com/math-20-1-2/

 

Shortcuts

ALL FORMULAS for Math 20-1

Patterns, Sequence and Series

Functions, in general

Quadratics (Functions)

      Complete the Square 

Equations, Quadratic

     Factoring Polynomials 

     The Quadratic Formula 

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
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

Q 16, page 29

Unit 1.3

Example 3, page 36 - formula

Extend

Q 22, page 44

Q 23, page 44

Create Connections

Q 26, page 45

Q 27, page 45

 


 

Unit 2.1

Practise

Q 1, 2, 6 page 83

Q 10, 12 page 84

Q 13, page 84

Q 14, page 85

Q 16, page 85

Extend

Q 18, page 86

Q 19, page 86

Unit 2.2

Apply

Q 16, page 97

Q 18, page 98

Unit 9.3

Apply

Q 10, page 498

 

Topics

    

Patterns, Sequences and Series

   
(back to Shortcuts...) Formulas and Summeries
    Arithmetic Sequences and Series
Cumulative Exam
(PDF download)
https://rfstaples.public.phpschools.ca/wp-content/uploads/sites/15/2018/01/Final-Exam-Review-Cummulative.pdf
 
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

(back to Shortcuts...)

 
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
 
   
see also Function Transformations
 
 
  The Quadratic Formula
 
 

Quadratics

(back to Shortcuts...)

 
Lessons and Notes

http://www.shelovesmath.com/algebra/intermediate-algebra/quadratics/

 

Math 20-1: https://www.sachs.gsacrd.ab.ca/eteachers/1151/math-20-1

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

 

Math 20-2: https://www.sites.google.com/site/sharonbarrymath/mathematics-20-2/chapter-7-quadratic-equations

Conics (Segway to Quadratics) misc/conics_math30-1.html
   
  Art of Problem Solving: Vieta for Quadratics Part 1

  Art of Problem Solving: Vieta for Quadratics Part 2
 

Quadratic Forms: Vertex, Standard

Vertex Form https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:vertex-form/v/vertex-form-intro


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



   

Complete the Square

Complete the Square complete_the_square.html
 

Tutorial - complete the square (PDF).

  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)
 
https://www.youtube.com/watch?v=ETexFVlpXYQ

Various topics

 
     
  Parabola Interactive Activity on Desmos https://teacher.desmos.com/activitybuilder/custom/56fade8fcd70f60d1ca0ca05
 

Review

Quadratic Theory - Warm-up Questionnaire

     Answers

 
  Desmos: Quadratic Classroom Activities https://teacher.desmos.com/quadratic
 

Quadratic Equations

(back to Shortcuts...)

 
Graphical Solutions
graphing square root (radical) functions
see also radicals...
http://www.analyzemath.com/Graphing/graphing_square_root_func.html

https://www.mathway.com/popular-problems/Algebra/279714
 
Quadratic Equations http://www.jamesbrennan.org/algebra/chapter_9.htm
 
  Lessons and Tools
https://www.ck12.org/search/?q=equations&subject=algebra&subject=calculus&source=ck12&grade=10&grade=11&grade=12

Factoring Polynomials

Factoring Polynomials review misc/factoringPolynomials.html

http://www.jamesbrennan.org/algebra/quadratics/solving_by_factoring.htm
Divisibility Review
 
misc/factoringPolynomials.html#Divisibility
  Algebraic Expressions, remembering formulas

Algebraic Expressions
 
  Polynomials, Factoring
slide show
     

Solving Equations

Solving Quadratic Equations via Complete the Square https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:completing-square-quadratics/v/solving-quadratics-by-completing-the-square
  The Quadratic Formula

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.

see also Lesson, quadratics explained.
 
 
 
see also Systems of Equations
 
 

Plotting (Graphing) a Quadratic Function

(back to Shortcuts...)

Terms, Formulas, and Plotting
  
  Graphing Quadratics

http://carlisleschools.ss13.sharpschool.com/cms/One.aspx?portalId=95563&pageId=768751

    

Exponents (Powers) and Radicals

(back to Shortcuts...)

 
Review grade 10 exponent
 
math10C.html#Exponents1
  see also  Exponent and radicals index cards 
  Formulas Formulas and Cheat-Sheets

     

Introduction to Radicals, Lesson

direct PDF download: https://www.sachs.gsacrd.ab.ca/eteacher_download/992/24978

  Introduction to Radicals misc/radicals.html
  Book online, Exponents and Roots Chapter http://www.jamesbrennan.org/algebra/chapter_8.htm
     

Reciprocal Functions

(back to Shortcuts...)

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

(back to Shortcuts...)

  Introduction https://www.khanacademy.org/math/algebra-home/alg-absolute-value/alg-absolute-value-equations/v/absolute-value-equations
 
  Graphing https://www.purplemath.com/modules/graphabs.htm
 
    https://www.mathsisfun.com/sets/function-absolute-value.html
 

Radicals (Square Roots) and Equations

(back to Shortcuts...)

Debating Extraneous Roots in Radical Equations
 

Radical Equations and Inequalities

 
     

Systems of Equations

(back to Shortcuts...)

 
  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

(back to Shortcuts...)

 
  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

(back to Shortcuts...)

 
  Introduction https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:eq/x2ec2f6f830c9fb89:rational-eq/v/rational-equation-intro
  Solving https://www.purplemath.com/modules/solvrtnl.htm
 
  Tutorial http://tutorial.math.lamar.edu/Classes/Alg/RationalExpressions.aspx
 
  Exercises https://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut15_rateq.htm
 

Similarity in Triangles

(back to Shortcuts...)

 
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/
  read more on similarity...
 
 

Function Transformations (Stretching, Inverse, ...)

(back to Shortcuts...)

  Stretching Parabolas and Radicals
 - 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
(Khan Academy)
 
https://www.khanacademy.org/math/algebra2/radical-equations-and-functions/graphs-of-radical-functions/v/flipping-shifting-radical-functions
  The Inverse of a Function The Inverse of a Square Root Function

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

  Stretching parabolas and radicals lessons/gr12/stretchingFunctions.html
 
     

 

Trigonometry

(back to Shortcuts...)

 
  Index cards for angle terminology
Angle Terminology P1

Angle Terminology P2

  Download Angle and rotation practice sheet
 
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)
  see also Triangle Similarity
  Understanding the Unit Circle


  Khan Academy - The Unit Circle
 
https://www.khanacademy.org/math/algebra2/trig-functions/unit-circle-definition-of-trig-functions-alg2/v/unit-circle-definition-of-trig-functions-1
  The Unit Circle
 
https://www.mathsisfun.com/geometry/unit-circle.html
     
 

 

This Page is Sponsored by Sharp Series

It's never too late to learn coding, use these workbooks with the free MIT Scratch 3.0 software to find out more about main programming concepts such as loops, variable, screen coordinates and much more.

 

Academix: Study, Explore, Engage...