# Grade 11 math

Here is a list of all of the math skills students learn in grade 11! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Measurement

## Equations

## Inequalities

- C.1Graph a linear inequality in one variable
- C.2Graph a linear inequality in the coordinate plane
- C.3Write inequalities from graphs
- C.4Write a linear inequality: word problems
- C.5Solve linear inequalities
- C.6Graph solutions to linear inequalities
- C.7Solve absolute value inequalities
- C.8Graph solutions to absolute value inequalities
- C.9Graph solutions to quadratic inequalities
- C.10Solve quadratic inequalities

## Functions

## Systems of equations

- E.1Is (x, y) a solution to the system of equations?
- E.2Solve a system of equations by graphing
- E.3Solve a system of equations by graphing: word problems
- E.4Find the number of solutions to a system of equations
- E.5Classify a system of equations
- E.6Solve a system of equations using substitution
- E.7Solve a system of equations using substitution: word problems
- E.8Solve a system of equations using elimination
- E.9Solve a system of equations using elimination: word problems
- E.10Solve a system of equations using any method
- E.11Solve a system of equations using any method: word problems
- E.12Solve a non-linear system of equations

## Systems of inequalities

## Factoring

## Quadratic relations

- H.1Characteristics of quadratic functions
- H.2Complete a function table: quadratic functions
- H.3Find a quadratic function
- H.4Graph a quadratic function
- H.5Match quadratic functions and graphs
- H.6Solve a quadratic equation using square roots
- H.7Solve a quadratic equation using the zero product property
- H.8Solve a quadratic equation by factoring
- H.9Complete the square
- H.10Solve a quadratic equation using the quadratic formula
- H.11Using the discriminant

## Parabolas

## Radical functions and expressions

- K.1Roots of integers
- K.2Roots of rational numbers
- K.3Find roots using a calculator
- K.4Nth roots
- K.5Simplify radical expressions with variables I
- K.6Simplify radical expressions with variables II
- K.7Multiply radical expressions
- K.8Divide radical expressions
- K.9Add and subtract radical expressions
- K.10Simplify radical expressions using the distributive property
- K.11Simplify radical expressions using conjugates
- K.12Domain and range of radical functions
- K.13Solve radical equations

## Rational exponents

## Rational functions and expressions

## Exponential functions

- N.1Evaluate exponential functions
- N.2Match exponential functions and graphs
- N.3Solve exponential equations
- N.4Identify linear and exponential functions
- N.5Exponential functions over unit intervals
- N.6Describe linear and exponential growth and decay
- N.7Exponential growth and decay: word problems
- N.8Compound interest: word problems
- N.9Continuously compounded interest: word problems

## Angle measures

## Right triangles

## Trigonometry

- Q.1Trigonometric ratios: sin, cos and tan
- Q.2Trigonometric ratios: csc, sec and cot
- Q.3Trigonometric ratios in similar right triangles
- Q.4Find trigonometric ratios using the unit circle
- Q.5Sin, cos and tan of special angles
- Q.6Csc, sec and cot of special angles
- Q.7Find trigonometric functions using a calculator
- Q.8Inverses of sin, cos and tan
- Q.9Inverses of csc, sec and cot
- Q.10Solve trigonometric equations I
- Q.11Solve trigonometric equations II
- Q.12Trigonometric ratios: find a side length
- Q.13Trigonometric ratios: find an angle measure
- Q.14Solve a right triangle
- Q.15Law of Sines
- Q.16Law of Cosines
- Q.17Solve a triangle
- Q.18Area of a triangle: sine formula
- Q.19Area of a triangle: Law of Sines

## Two-dimensional figures

- R.1Polygon vocabulary
- R.2Interior angles of polygons
- R.3Perimeter
- R.4Area of triangles and quadrilaterals
- R.5Area and perimeter in the coordinate plane I
- R.6Area and perimeter in the coordinate plane II
- R.7Area and circumference of circles
- R.8Area of compound figures
- R.9Area between two shapes
- R.10Area and perimeter of similar figures
- R.11Classify quadrilaterals
- R.12Properties of parallelograms

## Three-dimensional figures

- S.1Three-dimensional figure vocabulary
- S.2Parts of three-dimensional figures
- S.3Nets and drawings of three-dimensional figures
- S.4Introduction to surface area and volume
- S.5Surface area of prisms and cylinders
- S.6Surface area of pyramids and cones
- S.7Volume of prisms and cylinders
- S.8Volume of pyramids and cones
- S.9Surface area and volume of spheres
- S.10Introduction to similar solids
- S.11Surface area and volume of similar solids
- S.12Surface area and volume review
- S.13Cross-sections of three-dimensional figures
- S.14Solids of revolution

## Congruent figures

- T.1Congruence statements and corresponding parts
- T.2Solve problems involving corresponding parts
- T.3Identify congruent figures
- T.4Proofs involving angles
- T.5Proofs involving parallel lines I
- T.6Proofs involving parallel lines II
- T.7SSS and SAS Theorems
- T.8ASA and AAS Theorems
- T.9SSS, SAS, ASA and AAS Theorems
- T.10SSS Theorem in the coordinate plane
- T.11Congruency in isosceles and equilateral triangles
- T.12Hypotenuse-Leg Theorem
- T.13Proofs involving triangles I
- T.14Proofs involving triangles II

## Triangles

## Similarity

- V.1Identify similar figures
- V.2Similarity ratios
- V.3Similarity statements
- V.4Side lengths and angle measures in similar figures
- V.5Similar triangles and indirect measurement
- V.6Perimeters of similar figures
- V.7Similarity rules for triangles
- V.8Similar triangles and similarity transformations
- V.9Similarity of circles
- V.10Triangle Proportionality Theorem
- V.11Areas of similar figures

## Logic

## Sequences and series

- X.1Classify formulas and sequences
- X.2Find terms of an arithmetic sequence
- X.3Find terms of a geometric sequence
- X.4Find terms of a recursive sequence
- X.5Evaluate formulas for sequences
- X.6Write a formula for an arithmetic sequence
- X.7Write a formula for a geometric sequence
- X.8Write a formula for a recursive sequence
- X.9Sequences: mixed review
- X.10Introduction to sigma notation
- X.11Identify arithmetic and geometric series
- X.12Find the sum of a finite arithmetic or geometric series
- X.13Introduction to partial sums
- X.14Partial sums of arithmetic series
- X.15Partial sums of geometric series
- X.16Partial sums: mixed review
- X.17Convergent and divergent geometric series
- X.18Find the value of an infinite geometric series
- X.19Write a repeating decimal as a fraction

## Probability

- Y.1Introduction to probability
- Y.2Calculate probabilities of events
- Y.3Permutations
- Y.4Counting principle
- Y.5Permutation and combination notation
- Y.6Find probabilities using permutations and combinations
- Y.7Find probabilities using two-way frequency tables
- Y.8Identify independent events
- Y.9Probability of independent and dependent events
- Y.10Find conditional probabilities
- Y.11Independence and conditional probability
- Y.12Find conditional probabilities using two-way frequency tables
- Y.13Find probabilities using the addition rule
- Y.14Find probabilities using the normal distribution