## 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