Mr. Rowe's IM2 Youtube Notes

IM2 S1 (Q1-Q2) Notes 2020-TOC.docx

IM2 Semester 1 Notes Full PDF

Chapter 0-Foundational Skills

0.1 Points on the Coordinate Plane

0.2 Two Step Equations

0.3 Finding Slope Between Two Points

0.4 Slope-Intercept Form

0.5 Simplifying Square Roots

0.6 Systems of Equations

Chapter 1- Functions - Absolute Value and Piecewise

1.1 Functions Review

1.2 Absolute Value Functions

1.3a Piecewise Functions

1.3b Piecewise Functions

Chapter 2-Quadratics: Multiplying and Factoring

2.1 Multiplying Polynomials

2.2 Special Products of Binomials

2.3 Factoring Quadratics

2.4 Factoring Special Products

How to Factor Flow Chart

Chapter 3-Quadratics:Functions and Equations

3.1 Intro to Quadratics and their graphs, parabolas

3.2 Solving Simple Quadratics

3.3 Solve Quadratics by Factoring

3.4 Solve Quadratics by Completing the Square

KA Solve by Completing the Square

3.5a The Discriminant & Quadratic Formula

3.5b The Discriminant & Quadratic Formula

3.6 Features of Quadratics in Different Forms

3.7 Graphing Quadratic Functions

3.8a Quadratic Word Problems

3.8b Quadratic Word Problems (Khan) and 3.8b (The way I taught it)

3.9 Transforming Parabolas

Chapter 4- Irrational and Complex Numbers

4.1 Irrational Numbers

4.2 The Imaginary Unit

4.3 Classifying Complex Numbers

4.4 Plot Numbers on the Complex Plane

4.5 Adding & Subtracting Complex Numbers

4.6 Multiplying Complex Numbers

4.7 Solve Quadratic Equations: Complex Solutions

KA Quadratics with Complex Solutions

Chapter 5- Rational Exponents and Radicals

5.1 Rational Exponents

5.2 Properties of exponents (Rational Exponents)

5.3 Equivalent Forms of Exponential Expressions

5.4 Evaluating Exponents and Radicals

5.5 Solving Exponential Equations using properties of exponents

Chapter 6- Exponential Models

6.1 Interpreting Rate of Change of Exponential Functions

6.2 Constructing Exponential Models using rate of change

6.3 Advanced Interpretation of Exponential Models

KA - Interpret Change in Exponential Equations with Manipulation

IM2 S2 (Q3-Q4) Notes TOC

IM2 Semester 2 Notes Full PDF

Chapter 7- Similarity

7.1 Names and Types of Angles

7.2 Angles of Parallel Lines Cut by a Transversal

7.3 Solving Proportions

7.4A Similarity and Transformations

7.4B Similarity through Transformations

7.5 Similar Triangles (AA & SSS)

7.6 Solve Similar Triangles

7.7A Angle Bisector Theorem

7.7B Using Similarity and Congruence

Commonly Missed Questions on Skill #7

Chapter 8-Right Triangles and Trigonometry

8.1A Pythagorean Theorem & Its Converse

8.1B The Distance Formula

8.2 Special Right Triangles

8.3 Trigonometry Part 1 (Ratios and Sides)

8.4 Trigonometry Part 2 (Solving for Angles)

Chapter 9- Solid Geometry

Formula Sheet

9.1a Slicing a Rectangular Pyramid (Khan video)

9.1b Ways to Cross-Sections a Cube (Khan video)

9.1C Rotating 2D Shapes in 3D (Khan video)

9.2 Surface Area

9.3a Volume of Solids

9.3b Cavalieri's principle in 3D (Khan Video)

9.4 Density Word Problems

Chapter 10-Circles

10.1 Radius, Diameter and Circumference

10.2 Angles and Arc Measures

KA Arc Measure and Length

KA Arc Measure

KA Arc Measure questions

10.3 Radians to Degrees, Arc Length with Radians

KA Arc Length Question #1

10.4 Areas of Circles and and Sectors of Circles

KA Area of a Sector

10.5 Inscribed Angles and Shapes

KA Inscribed Shapes Questions

KA Inscribed Quadrilateral

10.6 Tangents of Circles

Chapter 11- Conic Sections

11.1 Features of a Circle

11.2 Standard Equation of a Circle

11.3 Expanded Equation of a Circle

11.4 Equation of a Parabola from Focus & Directrix

Chapter 12- Probability

12.1 Probability Basics

12.2 Counting w/ Permutations and Combinations

12.3 Probability with Counting, Permutations, and Combinations

12.4 Multiplication Rule for Independent Events

12.5 Multiplication Rule for Dependent Events

12.6 Addition Rule for Probabilities