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Master Mathematics 30-1

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Polynomial functions were destroying me. The step-by-step videos made everything click. Aced my diploma exam.

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Find the right Alberta Grade 12 course

Mathematics 30-1

Mathematics 30-2

Mathematics 30-3

Mathematics 30-1 Help: Master Concepts FastHelp

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AB.SO.30-1.1

Demonstrate an understanding of angles in standard position, expressed in degrees and radians: Sketch angles in standard position given measures in degrees or radians; Convert between degree and radian measures; Determine coterminal angles in degrees and radians; Relate radian measure to arc length on a circle

AB.SO.30-1.2

Develop and apply the equation of the unit circle: Derive the equation of the unit circle from the Pythagorean theorem; Describe trigonometric ratios using points on the unit circle; Generalize the equation of a circle with center (0,0) and radius r

AB.SO.30-1.3

Solve problems using the six trigonometric ratios for angles expressed in radians and degrees: Determine approximate and exact values of trigonometric ratios; Use technology to find trigonometric ratios for any angle; Determine angles given trigonometric ratios; Solve problems using trigonometric ratios

AB.SO.30-1.4

Graph and analyze the trigonometric functions sine, cosine and tangent to solve problems: Sketch and analyze graphs of sine, cosine, and tangent functions; Determine characteristics of trigonometric graphs (amplitude, period, phase shift, etc.); Apply transformations to trigonometric functions; Model situations using trigonometric functions

AB.SO.30-1.5

Solve, algebraically and graphically, first and second degree trigonometric equations with the domain expressed in degrees and radians: Verify solutions to trigonometric equations; Solve trigonometric equations algebraically and graphically; Determine general solutions of trigonometric equations; Relate solutions to zeros of trigonometric functions

AB.SO.30-1.6

Prove trigonometric identities, using various trigonometric identities: Verify trigonometric identities numerically and graphically; Prove trigonometric identities algebraically; Apply trigonometric identities to solve problems

AB.SO.30-1.7

Demonstrate an understanding of operations on, and compositions of, functions: Perform operations on functions (addition, subtraction, multiplication, division); Determine composite functions; Determine the domain and range of composite functions; Graph composite functions

AB.SO.30-1.8

Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of functions and their related equations: Analyze the effects of h and k in y-k = f(x-h); Sketch translated functions; Write equations of translated functions

AB.SO.30-1.9

Demonstrate an understanding of the effects of horizontal and vertical stretches on the graphs of functions and their related equations: Analyze the effects of a and b in y = af(bx); Sketch stretched functions; Write equations of stretched functions

AB.SO.30-1.10

Apply translations and stretches to the graphs and equations of functions: Sketch graphs of functions with multiple transformations; Write equations of functions with multiple transformations

AB.SO.30-1.11

Demonstrate an understanding of the effects of reflections on the graphs of functions and their related equations: Analyze reflections through x-axis, y-axis, and y=x; Sketch reflected functions; Write equations of reflected functions

AB.SO.30-1.12

Demonstrate an understanding of inverses of relations: Sketch inverse relations and functions; Determine if inverses are functions; Write equations of inverse functions; Determine restrictions for inverse functions

AB.SO.30-1.13

Demonstrate an understanding of logarithms: Convert between logarithmic and exponential forms; Evaluate logarithms without technology; Estimate values of logarithms

AB.SO.30-1.14

Demonstrate an understanding of the product, quotient and power laws of logarithms: Develop and apply laws of logarithms; Simplify logarithmic expressions; Solve logarithmic equations

AB.SO.30-1.15

Graph and analyze exponential and logarithmic functions: Sketch and analyze exponential and logarithmic functions; Apply transformations to exponential and logarithmic functions; Solve problems using exponential and logarithmic functions

AB.SO.30-1.17

Demonstrate an understanding of factoring polynomials of degree greater than 2: Factor polynomials using long division and synthetic division; Apply the factor theorem; Relate factors to zeros of polynomial functions

AB.SO.30-1.18

Graph and analyze polynomial functions: Identify characteristics of polynomial functions from equations and graphs; Determine zeros and their multiplicities; Sketch polynomial functions

AB.SO.30-1.19

Graph and analyze radical functions: Sketch and analyze radical functions; Apply transformations to radical functions; Solve radical equations graphically

AB.SO.30-1.20

Graph and analyze rational functions: Determine characteristics of rational functions (asymptotes, holes, etc.); Sketch rational functions; Solve rational equations graphically

AB.SO.30-1.21

Apply the fundamental counting principle to solve problems: Use graphic organizers to count possibilities; Apply the fundamental counting principle to solve problems

AB.SO.30-1.22

Determine the number of permutations of n elements taken r at a time to solve problems: Calculate permutations; Solve problems involving permutations

AB.SO.30-1.23

Determine the number of combinations of n different elements taken r at a time to solve problems: Calculate combinations; Solve problems involving combinations

AB.SO.30-1.24

Expand powers of a binomial in a variety of ways, including using the binomial theorem: Expand binomials using various methods; Apply the binomial theorem; Use Pascal's triangle in binomial expansions
Complete Alberta Mathematics 30-1 Coverage

Mathematics 30-1 Lessons

124

Video Explanations

657

Practice Problems

1301

Alberta Standards

100% Aligned

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Success Stories

Logarithmic equations made no sense. The video lessons broke them down perfectly. Went from failing to 78% on my diploma.

Jordan Singh

Used StudyPug all semester for Math 30-1. The practice problems matched the diploma exam exactly. Got my university acceptance.

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Frequently Asked Questions

Get answers to common questions about Mathematics 30-1 help on StudyPug

What does Mathematics 30-1 coverage include?

Complete Math 30-1 curriculum with video lessons on trigonometry, functions, transformations, exponentials, logarithms, and polynomials. Includes practice problems, step-by-step solutions, and diploma exam prep.

How does photo search work for Math 30-1?

Take a photo of any Math 30-1 problem, and StudyPug 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 30-1 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 your diploma exam anywhere.

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

We include diploma-style practice questions for every Math 30-1 topic and teach the exact concepts tested. Students report significantly improved scores and confidence on exam day.

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