# Algebra 2

# Start Algebra 2 Early

This summer program will give students a head start in Algebra 2. In 25 live sessions, students will learn about polynomial operations and complex numbers, transformation of functions and modelling with function, and exponential and logarithmic relationships, Trigonometry and Rational Fractions.

### Polynomial operations and complex number

*Lesson 1*

-Combining like terms

-The distributive property and equivalent property

-Quiz 1

### Polynomial operations and complex number

*Lesson 2*

-Multiplying and Dividing powers

-Multiplying binomials

-Special products of binomials

### Polynomial operations and complex number

*Lesson 3*

-Quiz 2

-Factorising quadratics intro

### Polynomial operations and complex number

*Lesson 4*

-Factorising quadratics by grouping

-Quiz 3

### Polynomial operations and complex number

*Lesson 5*

-Factorizing quadratics with difference of squares

-Factorizing quadratics with perfect squares

-Quiz 4

### Equations

*Lesson 6*

-Ratio application

-Quiz 2

-Intro to rates

-Rate problems

-Quiz 3

### Equations

*Lesson 7*

-Introduction to systems of equations

-Solving systems of equation with substitution

### Equations

*Lesson 8*

-Equivalent systems of equations and the elimination method

### Equations

*Lesson 9*

-Quiz 2

-Radicals

-Solving quadratic equations by taking the square root

-Quiz 3

### Equations

*Lesson 10*

-Solving quadratics by factoring

-The quadratic formula 1

### Equations

*Lesson 11*

-The quadratic formula 2

-Quiz 4

### Transformation of functions and modelling with function

*Lesson 12*

-Evaluating function

-Introduction to domain and range of a function

### Transformation of functions and modelling with function

*Lesson 13*

-Determining the domain of a function

-Recognizing functions

-Quiz 1

### Transformation of functions and modelling with function

*Lesson 14*

-Maximum and Minimum points

-Intervals where a function is positive, negative, increasing or decreasing

-Quiz 2

-Graphs of absolute value function

### Transformation of functions and modelling with function

*Lesson 15*

-Graphing quadratics in factored form n

-Graphing quadratics in vertex form n

-Graphing quadratics in standard form n

-Quiz 3

### Transformation of functions and modelling with function

*Lesson 16*

-Features and Forms of Quadratic expression

-Transforming quadratic functions

-Quiz 4

### Exponential and logarithmic relationship

*Lesson 17*

-Exponent properties (integer exponents)

-Quiz 1

-Radicals

-Quiz 2

### Exponential and logarithmic relationship

*Lesson 18*

-Exponential vs. linear growth

-Exponential expressions

-Graphs of exponential growth

### Exponential and logarithmic relationship

*Lesson 19*

-Quiz 3

-Exponential vs. linear growth over time

-Exponential growth and decay

-Exponential functions from tables and graphs

### Trigonometry

*Lesson 20*

-Pythagoras theorem

-Pythagoras theorem and distance between points

-Quiz 1

### Exponential and logarithmic relationship

*Lesson 21*

-Quiz 4

-Intro to inverse functions

-Quiz 5

### Trigonometry

*Lesson 22*

-Ratios in right triangles

-Introduction to trigonometric ratios

### Trigonometry

*Lesson 23*

-Solving for sides and angles in right triangles using the trigonometric ratios

-Quiz 2

-Introduction to radians

### Rational fractions

*Lesson 24*

-Quiz 4

-Intro to inverse functions

-Quiz 5

### Rational fractions

*Lesson 25*

-Solving for sides and angles in right triangles using the trigonometric ratios

-Quiz 2

-Introduction to radians