Grade 11 Math
CONTENTS


Measurement

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Scale drawings: word problems
Equations

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Solve linear equations: word problems
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Absolute value and opposites
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Solve absolute value equations
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Graph solutions to absolute value equations
Inequalities

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Graph a linear inequality in the coordinate plane
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Write inequalities from graphs
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Write a linear inequality: word problems
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Solve linear inequalities
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Graph solutions to linear inequalities
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Solve absolute value inequalities
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Graph solutions to absolute value inequalities
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Graph solutions to quadratic inequalities
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Solve quadratic inequalities
Functions

Domain and range
Identify functions
Evaluate functions
Find values using function graphs
Complete a table for a function graph
Find the slope of a linear function
Graph a linear function
Write the equation of a linear function
Linear functions over unit intervals
Complete a function table: absolute value functions
Graph an absolute value function
Systems of equations

Is (x, y) a solution to the system of equations?
Solve a system of equations by graphing
Solve a system of equations by graphing: word problems
Find the number of solutions to a system of equations
Classify a system of equations
Solve a system of equations using substitution
Solve a system of equations using substitution: word problems
Solve a system of equations using elimination
Solve a system of equations using elimination: word problems
Solve a system of equations using any method
Solve a system of equations using any method: word problems
Solve a non-linear system of equations
Systems of inequalities

Is (x, y) a solution to the system of inequalities?
Solve systems of inequalities by graphing
Find the vertices of a solution set
Linear programming
Factoring

Factor monomials
Factor quadratics
Factor quadratics using algebra tiles
Factor using a quadratic pattern
Factor by grouping
Factor sums and differences of cubes
Factor polynomials
Quadratic relations

Characteristics of quadratic functions
Complete a function table: quadratic functions
Find a quadratic function
Graph a quadratic function
Match quadratic functions and graphs
Solve a quadratic equation using square roots
Solve a quadratic equation using the zero product property
Solve a quadratic equation by factoring
Complete the square
Solve a quadratic equation using the quadratic formula
Using the discriminant
Parabolas

Identify the direction a parabola opens
Find the vertex of a parabola
Find the axis of symmetry of a parabola
Write equations of parabolas in vertex form from graphs
Write equations of parabolas in vertex form using properties
Graph parabolas
Polynomials

Polynomial vocabulary
Add and subtract polynomials
Multiply a polynomial by a monomial
Multiply two binomials
Multiply two binomials: special cases
Multiply polynomials
Radical functions and expressions

Roots of integers
Roots of rational numbers
Find roots using a calculator
Nth roots
Simplify radical expressions with variables I
Simplify radical expressions with variables II
Multiply radical expressions
Divide radical expressions
Add and subtract radical expressions
Simplify radical expressions using the distributive property
Simplify radical expressions using conjugates
Domain and range of radical functions
Solve radical equations
Rational exponents

Evaluate rational exponents
Multiplication with rational exponents
Division with rational exponents
Power rule
Simplify expressions involving rational exponents I
Simplify expressions involving rational exponents II
Rational functions and expressions

Rational functions: asymptotes and excluded values
Evaluate rational expressions I
Evaluate rational expressions II
Simplify rational expressions
Multiply and divide rational expressions
Add and subtract rational expressions
Solve rational equations
Exponential functions

Evaluate exponential functions
Match exponential functions and graphs
Solve exponential equations
Identify linear and exponential functions
Exponential functions over unit intervals
Describe linear and exponential growth and decay
Exponential growth and decay: word problems
Compound interest: word problems
Continuously compounded interest: word problems
Angle measures

Quadrants
Graphs of angles I
Graphs of angles II
Coterminal angles
Reference angles
Right triangles

Pythagorean Theorem
Converse of the Pythagorean theorem
Pythagorean Inequality Theorems
Special right triangles
Trigonometry

Trigonometric ratios: sin, cos and tan
Trigonometric ratios: csc, sec and cot
Trigonometric ratios in similar right triangles
Find trigonometric ratios using the unit circle
Sin, cos and tan of special angles
Csc, sec and cot of special angles
Find trigonometric functions using a calculator
Inverses of sin, cos and tan
Inverses of csc, sec and cot
Solve trigonometric equations I
Solve trigonometric equations II
Trigonometric ratios: find a side length
Trigonometric ratios: find an angle measure
Solve a right triangle
Law of Sines
Law of Cosines
Solve a triangle
Area of a triangle: sine formula
Area of a triangle: Law of Sines
Two-dimensional figures

Polygon vocabulary
Interior angles of polygons
Perimeter
Area of triangles and quadrilaterals
Area and perimeter in the coordinate plane I
Area and perimeter in the coordinate plane II
Area and circumference of circles
Area of compound figures
Area between two shapes
Area and perimeter of similar figures
Classify quadrilaterals
Properties of parallelograms
Three-dimensional figures

Three-dimensional figure vocabulary
Parts of three-dimensional figures
Nets and drawings of three-dimensional figures
Introduction to surface area and volume
Surface area of prisms and cylinders
Surface area of pyramids and cones
Volume of prisms and cylinders
Volume of pyramids and cones
Surface area and volume of spheres
Introduction to similar solids
Surface area and volume of similar solids
Surface area and volume review
Cross-sections of three-dimensional figures
Solids of revolution
Congruent figures

Congruence statements and corresponding parts
Solve problems involving corresponding parts
Identify congruent figures
Proofs involving angles
Proofs involving parallel lines I
Proofs involving parallel lines II
SSS and SAS Theorems
ASA and AAS Theorems
SSS, SAS, ASA and AAS Theorems
SSS Theorem in the coordinate plane
Congruency in isosceles and equilateral triangles
Hypotenuse-Leg Theorem
Proofs involving triangles I
Proofs involving triangles II
Triangle

Classify triangles
Triangle Angle-Sum Theorem
Midsegments of triangles
Triangles and bisectors
Identify medians, altitudes, angle bisectors and perpendicular bisectors
Angle-side relationships in triangles
Triangle Inequality Theorem
Similarity

Identify similar figures
Similarity ratios
Similarity statements
Side lengths and angle measures in similar figures
Similar triangles and indirect measurement
Perimeters of similar figures
Similarity rules for triangles
Similar triangles and similarity transformations
Similarity of circles
Triangle Proportionality Theorem
Areas of similar figures
Logic

Identify hypotheses and conclusions
Counterexamples
Truth tables
Truth values
Conditionals
Negations
Converses, inverses and contrapositives
Biconditionals
Sequences and series

Classify formulas and sequences
Find terms of an arithmetic sequence
Find terms of a geometric sequence
Find terms of a recursive sequence
Evaluate formulas for sequences
Write a formula for an arithmetic sequence
Write a formula for a geometric sequence
Write a formula for a recursive sequence
Sequences: mixed review
Introduction to sigma notation
Identify arithmetic and geometric series
Find the sum of a finite arithmetic or geometric series
Introduction to partial sums
Partial sums of arithmetic series
Partial sums of geometric series
Partial sums: mixed review
Convergent and divergent geometric series
Find the value of an infinite geometric series
Write a repeating decimal as a fraction
Probability

Introduction to probability
Calculate probabilities of events
Permutations
Counting principle
Permutation and combination notation
Find probabilities using permutations and combinations
Find probabilities using two-way frequency tables
Identify independent events
Probability of independent and dependent events
Find conditional probabilities
Independence and conditional probability
Find conditional probabilities using two-way frequency tables
Find probabilities using the addition rule
Find probabilities using the normal distribution