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

## Functions

- D.1 Domain and range
- D.2 Identify functions
- D.3 Evaluate functions
- D.4 Find values using function graphs
- D.5 Complete a table for a function graph
- D.6 Find the slope of a linear function
- D.7 Graph a linear function
- D.8 Write the equation of a linear function
- D.9 Linear functions over unit intervals
- D.10 Complete a function table: absolute value functions
- D.11 Graph an absolute value function

## Systems of equations

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

## Systems of inequalities

## Factoring

## Quadratic relations

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

## Parabolas

## Radical functions and expressions

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

## Rational exponents

## Rational functions and expressions

## Exponential functions

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

## Angle measures

## Right triangles

## Trigonometry

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

## Two-dimensional figures

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

## Three-dimensional figures

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

## Congruent figures

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

## Triangles

## Similarity

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

## Logic

## Sequences and series

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

## Probability

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