Functions in Depth
Domain and range, the function and one-to-one tests, even and odd functions, transformations, composition, and inverses.
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📚 Scholi · Grade 11
Mathematics
Units follow the order of the Scholi programme. Pick a topic and start.
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- Units
- 16
- Topics
- 16
- Ready
- 16
Course plan
Units and topics
Go in order, or start from any topic.
ReadyIn the labPlanned
Unit 1Ready
Functions in Depth
1 topic · 1 topic open
Unit 2Ready
Polynomial Functions
1 topic · 1 topic open
Polynomial Functions
Long and synthetic division, the remainder and factor theorems, rational roots, graphing by end behavior, and the fundamental theorem of algebra.
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Unit 3Ready
Rational Expressions & Functions
1 topic · 1 topic open
Rational Expressions & Functions
Simplify and operate on rational expressions, solve rational equations, and find asymptotes and holes to graph rational functions.
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Unit 4Ready
Radical Functions & Complex Numbers
1 topic · 1 topic open
Radical Functions & Complex Numbers
Simplify and solve radical expressions and equations, graph radical functions, and add, multiply, and divide complex numbers a + bi.
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Unit 5Ready
Exponential Functions
1 topic · 1 topic open
Exponential Functions
Exponential growth and decay, graphs of a·bˣ, the number e, and an introduction to logarithms. Interactive Grade 11 lesson with practice.
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Unit 6Ready
Logarithmic Functions
1 topic · 1 topic open
Logarithmic Functions
Logarithmic form and the log rules, solving exponential and logarithmic equations, and growth, decay, and pH models.
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Unit 7Ready
Trig Ratios & the Unit Circle
1 topic · 1 topic open
Trig Ratios & the Unit Circle
Degrees and radians, special angles, the unit circle, and coterminal and reference angles. Interactive Grade 11 lesson with practice.
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Unit 8Ready
Laws of Sines & Cosines
1 topic · 1 topic open
Laws of Sines & Cosines
Solve any triangle with the law of sines, the law of cosines, and Heron's formula for area. Interactive Grade 11 lesson with practice.
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Unit 9Ready
Trig Functions & Identities
1 topic · 1 topic open
Trig Functions & Identities
Prove Pythagorean and sum, difference, and double-angle identities, simplify expressions, and solve trig equations. Interactive Grade 11 lesson with practice.
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Unit 10Ready
Tan, Cot, Sec & Csc Grapher
1 topic · 1 topic open
Tan, Cot, Sec & Csc Grapher
Graph all six trig functions with interactive periods, asymptotes, and transformations across 8 levels. Interactive Grade 11 lesson with practice.
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Unit 11Ready
Sequences & Series
1 topic · 1 topic open
Sequences & Series
Arithmetic and geometric sequences, explicit and recursive rules, finite and infinite series, convergence, and sigma notation.
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Unit 12Ready
Binomial Theorem
1 topic · 1 topic open
Binomial Theorem
Expand binomial expressions using Pascal's Triangle, factorials, combinations, and the Binomial Theorem formula. Interactive Grade 11 lesson with practice.
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Unit 13Ready
Conic Sections
1 topic · 1 topic open
Conic Sections
Identify, write, and graph circles, parabolas, ellipses, and hyperbolas, and convert from general to standard form by completing the square.
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Unit 14Ready
Inferential Statistics & Probability
1 topic · 1 topic open
Inferential Statistics & Probability
Normal distributions and the empirical rule, z-scores, sampling distributions and the central limit theorem, confidence intervals, and informal hypothesis.
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Unit 15Ready
Counting Principles
1 topic · 1 topic open
Counting Principles
Master factorials, permutations, combinations, tree diagrams, and the Fundamental Counting Principle. Interactive Grade 11 lesson with practice.
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Unit 16Ready
Systems of Nonlinear Equations
1 topic · 1 topic open
Systems of Nonlinear Equations
Solve systems of linear-quadratic and quadratic-quadratic equations algebraically and graphically. Interactive Grade 11 lesson with practice.
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New units appear here as they are added. The order follows the Scholi programme.
In every topic
How a topic works
Four parts. You see it with a tool, then try it, then practise.
Learn
Starts with a scene. You move in short steps.
Explore
You use the tool yourself. Break it, fix it.
Practice
Easy, medium, hard. Questions with the same tool.
Summary
Rules, words and formulas on one page.