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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

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)

Navigating your math course selection

(src: https://www.sachs.gsacrd.ab.ca/academics/math)

Navigating your math course selection

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 Practice, see also video lessons.

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

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.

Textbook solutions

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

Solutions for the released 2022 Mathematics 30-1 Practice Diploma Exam:

specific questions

the full set:


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). How is it used? "Complete the square" expressions help find the vertex of a quadratic function. example: https://www.desmos.com/calculator/13isbd2zr3
	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
	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	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
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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

Systems of Equations

Solutions for the released 2022 Mathematics 30-1 Practice Diploma Exam:

specific questions

the full set:


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

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Academix: Study, Explore, Engage...

Math 20-1 (grade 11)

Stuck with Homework?

Digital Tools

Worksheets, Tests, and Automated Quizzes

Competitions

Navigating your math course selection

Math in Person...

Online Lessons

Shortcuts

Topics

Patterns, Sequences and Series

Functions, in general

Quadratics

Quadratic Forms: Vertex, Standard

Complete the Square

Various topics

Review

Quadratic Equations

Factoring Polynomials

Solving Equations

Plotting (Graphing) a Quadratic Function

Exponents (Powers) and Radicals

Reciprocal Functions

Absolute Value Functions and Equations

Radicals (Square Roots) and Equations

Systems of Equations

Inequalities

Rational Expressions and Equations

Similarity in Triangles

Function Transformations (Stretching, Inverse, ...)

Trigonometry