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Iwrite Math Pre Calculus Mathematics Book 11 Answer Key

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).

How is it used? "Complete the square" expressions help find the vertex of a quadratic function.

complete the square formula

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


High school chemistry

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

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

Iwrite Math Pre Calculus Mathematics Book 11 Answer Key

Source: https://academix.ca/math/math20-1.html

Posted by: najerawitand.blogspot.com

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