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Grade 11

Master Mathematics 20-1

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Rational expressions were impossible. The step-by-step videos made everything click. Went from D to B+ in one semester.

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Mathematics 20-1

Mathematics 20-2

Mathematics 20-3

Alberta Mathematics 20-1 Help: Master Concepts FastHelp

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AB.SO.20-1.1

Demonstrate an understanding of the absolute value of real numbers: Determine the distance of two real numbers from 0 on a number line and relate to absolute value; Determine the absolute value of positive and negative real numbers; Explain how distance between points on a number line relates to absolute value; Determine the absolute value of numerical expressions; Compare and order absolute values of real numbers

AB.SO.20-1.2

Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands: Compare and order radical expressions with numerical radicands; Express entire radicals as mixed radicals and vice versa; Perform operations to simplify radical expressions; Rationalize denominators of rational expressions; Identify values for which radical expressions are defined; Solve problems involving radical expressions

AB.SO.20-1.3

Solve problems that involve radical equations (limited to square roots): Determine restrictions on variables in radical equations; Solve radical equations algebraically; Verify solutions by substitution; Explain why some algebraically determined roots are extraneous; Solve problems by modeling situations using radical equations

AB.SO.20-1.4

Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials): Compare strategies for rational expressions to those for rational numbers; Explain non-permissible values for rational expressions; Determine equivalent rational expressions by multiplying numerator and denominator; Simplify rational expressions; Explain why non-permissible values remain the same after simplification; Identify and correct errors in simplification of rational expressions

AB.SO.20-1.5

Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials): Compare strategies for operations on rational expressions to those on rational numbers; Determine non-permissible values when performing operations; Determine sums and differences of rational expressions; Determine products and quotients of rational expressions; Simplify expressions involving multiple operations on rational expressions

AB.SO.20-1.6

Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials or trinomials): Determine non-permissible values for variables in rational equations; Solve rational equations algebraically; Explain why some algebraically determined values may not be solutions; Solve problems by modeling situations using rational equations

AB.SO.20-1.7

Demonstrate an understanding of angles in standard position 0° to 360°: Sketch angles in standard position; Determine reference angles for angles in standard position; Explain how to determine angles from 0° to 360° with the same reference angle; Illustrate reflection of reference angles in x-axis and y-axis; Determine quadrants for angles in standard position; Draw angles given points on terminal arms; Illustrate points on terminal sides with same reference angle

AB.SO.20-1.8

Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position: Determine distance from origin to points using Pythagorean theorem or distance formula; Calculate trigonometric ratios given points on terminal arms; Determine signs of trigonometric ratios for given angles; Solve trigonometric equations; Determine exact values of trigonometric ratios for special angles; Describe patterns in trigonometric ratio values; Sketch diagrams to represent problems; Solve contextual problems using trigonometric ratios

AB.SO.20-1.9

Solve problems, using the cosine law and sine law, including the ambiguous case: Sketch diagrams for non-right triangle problems; Solve non-right triangles using primary trigonometric ratios; Explain steps in proofs of sine and cosine laws; Solve problems using cosine and sine laws; Describe situations with no solution, one solution, or two solutions

AB.SO.20-1.10

Factor polynomial expressions of various forms: Factor expressions requiring identification of common factors; Determine if binomials are factors of polynomial expressions; Factor quadratic expressions and expressions with quadratic patterns

AB.SO.20-1.12

Analyze quadratic functions of the form y = a(x - p)² + q and determine their characteristics: Explain why given functions are quadratic; Compare graphs of quadratic functions to y = x²; Generalize rules about effects of a, p, and q on quadratic function graphs; Determine vertex coordinates for quadratic functions; Sketch graphs of quadratic functions using transformations; Explain how a and q affect x-intercepts of quadratic functions; Write quadratic functions for given graphs or characteristics

AB.SO.20-1.13

Analyze quadratic functions of the form y = ax² + bx + c to identify characteristics of the corresponding graph: Explain the process of completing the square; Convert quadratic functions between y = ax² + bx + c and y = a(x - p)² + q forms; Identify and correct errors in completing the square; Determine characteristics of quadratic functions in y = ax² + bx + c form; Sketch graphs of quadratic functions in y = ax² + bx + c form; Verify equivalence of different forms of quadratic functions; Write quadratic functions to model situations; Solve problems by analyzing quadratic functions

AB.SO.20-1.14

Solve problems that involve quadratic equations: Explain relationships among roots, zeros, and x-intercepts of quadratic functions; Derive the quadratic formula; Solve quadratic equations using various strategies; Select and justify methods for solving quadratic equations; Use the discriminant to determine the nature of roots; Identify and correct errors in quadratic equation solutions; Solve problems involving quadratic equations

AB.SO.20-1.15

Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables: Model situations using systems of equations; Relate systems of equations to problem contexts; Solve systems graphically using technology; Solve systems algebraically; Explain the meaning of intersection points; Explain why systems may have zero, one, two, or infinite solutions; Solve problems involving systems of equations

AB.SO.20-1.16

Solve problems that involve linear and quadratic inequalities in two variables: Explain use of test points to determine solution regions; Explain when to use solid or broken lines in inequality solutions; Sketch graphs of linear and quadratic inequalities; Solve problems involving linear and quadratic inequalities

AB.SO.20-1.17

Solve problems that involve quadratic inequalities in one variable: Determine solutions to quadratic inequalities using various strategies; Represent and solve problems involving quadratic inequalities; Interpret solutions to quadratic inequality problems

AB.SO.20-1.18

Analyze arithmetic sequences and series to solve problems: Identify assumptions in arithmetic sequences and series; Provide examples of arithmetic sequences; Derive rules for general terms of arithmetic sequences; Describe relationships between arithmetic sequences and linear functions; Determine various elements of arithmetic sequences and series; Derive sum formulas for arithmetic series; Solve problems involving arithmetic sequences and series

AB.SO.20-1.19

Analyze geometric sequences and series to solve problems: Identify assumptions in geometric sequences and series; Provide examples of geometric sequences; Derive rules for general terms of geometric sequences; Determine various elements of geometric sequences and series; Derive sum formulas for geometric series; Generalize rules for infinite geometric series; Explain convergence and divergence of geometric series; Solve problems involving geometric sequences and series

AB.SO.20-1.20

Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions): Compare graphs of reciprocal functions to their corresponding functions; Identify characteristics of reciprocal function graphs; Explain the relationship between non-permissible values and vertical asymptotes; Graph reciprocal functions with and without technology; Graph original functions given their reciprocal functions
Complete Alberta Mathematics 20-1 Coverage

Mathematics 20-1 Lessons

79

Video Explanations

518

Practice Problems

1074

Alberta Standards

100% Aligned

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Frequently Asked Questions

Everything you need to know about mastering Mathematics 20-1

What does Mathematics 20-1 coverage include?

Complete Math 20-1 curriculum with video lessons on radicals, rationals, trigonometry, quadratics, sequences, and more. Includes practice problems, step-by-step solutions, and progress tracking for every topic.

How does the AI photo search work?

Take a photo of any Math 20-1 problem, and our AI finds the exact lesson teaching that concept. It's like having a personal tutor who knows exactly what you need for the diploma exam.

Are the teachers certified Alberta educators?

Yes! Our teachers are Canadian certified Alberta educators who understand Mathematics 20-1 curriculum and create lessons specifically for Alberta diploma exam standards.

Can I use StudyPug on my phone or tablet?

Absolutely! StudyPug works on desktop, tablet, and mobile. Your progress syncs automatically so you can study for Math 20-1 anywhere, anytime.

How will StudyPug help me prepare for the Alberta Diploma Exam?

We include diploma-style practice questions for every Math 20-1 topic and teach the exact concepts tested on the exam. Students report significantly improved scores and confidence on exam day.

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