30 free lessons · Worked examples and practice
Grade 11 math
Use functions, trigonometry, sequences, and statistics to describe more complex relationships. Focus on interpreting a model as well as carrying out its calculations.
Your study guide
What you will explore.
- Analyze functions, sequences, and trigonometric relationships
- Build and compare mathematical models
- Reason about probability and statistical evidence
Before you begin
Review algebraic manipulation, graphs, powers, and right-triangle trigonometry. Some topics need specific function knowledge; the lesson prerequisites identify it.
Review Grade 10How to study these lessons
State the domain, units, and assumptions before calculating. Sketch how you expect the relationship to behave, then compare the solution with that prediction.
Work at your own pace. Open a hint when you need it, then try again before revealing the complete explanation.
Grade labels are starting-point guides; school sequences vary. University lessons introduce selected topics and assume the prerequisites listed on each page.
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600 guided practice chapters for Grade 11.
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Your Grade 11 lesson collection.
The lessons appear in their suggested study order. Choose the first lesson for a starting point, or use the search and subject filters to review a particular skill. Read the prerequisites whenever you change topics.
Showing 12 of 30 matching lessons · All free
AlgebraGrade 11 · Intermediate 13 min
Track a domain through two function machines
Find the allowed inputs of a composition before simplifying it.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Choose a branch before inverting a quadratic
Restrict a domain to make a many-to-one function invertible.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Read a horizontal scale from the inside expression
Factor an input transformation to identify its center and scale.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Make two formula pieces meet continuously
Match one-sided values at a piecewise boundary.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Use a known root to determine a coefficient
Apply the factor theorem to an unknown polynomial parameter.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Solve a rational inequality by intervals
Track sign changes while excluding a denominator zero.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Reject a root introduced by squaring
Check transformed equation candidates in the original radical equation.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Solve an absolute-value equation with a quadratic inside
Separate the two possible signs and reject impossible squared values.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Combine logarithms without admitting forbidden inputs
Preserve each logarithm's positivity requirement when solving.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Recover an exponential model from two readings
Determine both the initial factor and multiplicative growth factor.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Add repeated multiplicative contributions efficiently
Derive a finite geometric-sum formula by subtraction.
Read, practice, and reflectAlgebraGrade 11 · Intermediate 13 min
Select one coefficient without expanding every term
Combine choice counts with power factors in the binomial theorem.
Read, practice, and reflect