Grade 12 (DP2)

IB-DP Courses

How Does Explorer Math Work

Big Hello From Our Math Curriculum Director, Sara Chaudhry

How Does the Mini Challenge Work?

Let's Tinker!

All about Explorer Math

Chapter 1: Algebra and Pre-Calculus Lesson Plans

Introduction Chapter 1

Lesson 1: Working With Positive & Negative Rational Exponents

Lesson 1 Quiz

Lesson 1 Power Math

Lesson 2: Exponent Laws & Order of Operations With Exponents

Lesson 2 Quiz

Level 2 Power Math

Lesson 3: Simplifying Radicals

Lesson 3 Quiz

Level 3 Power Math

Lesson 4/5: Ordering a Set of Irrational Numbers

Lesson 4/5 Quiz

Lesson 4 Power Math

Lesson 6: Identifying Domain Restrictions & Extraneous Roots of Radical Equations

Lesson 6 Quiz

Level 6 Power Math

Lesson 7: Verify That √ab = √a x √b, a ≥ 0, b ≥ 0 With & Without Technology

Lesson 7 Quiz

Level 7 Power Math

Lesson 8/9: Using √ab = √a x √b, a ≥ 0, b ≥ 0 to Simplify Radicals & Radical Expressions Obtained by Adding, Subtracting, & Multiplying

Lesson 8/9 Quiz

Level 8 Power Math

Lesson 10: Solving Simple (One Radical Only) Equations Algebraically

Lesson 10 Quiz

Level 10 Power Math

Lesson 11: Solving Simple (One Radical Only) Equations Graphically

Lesson 11 Quiz

Lesson 11 Power Math

Lesson 12: Multiplying & Dividing Radicals

Lesson 12 Quiz

Level 12 Power Math

Lesson 13: Rationalizing the Denominator

Level 13 Power Math

Lesson 13 Quiz

Lesson 14: Common Factoring

Lesson 14 Quiz

Level 14 Power Math

Lesson 15: Factor by Grouping

Lesson 15 Quiz

Lesson 15 Power Math

Lesson 16/17: Factoring trinomials of the form x^2 + bx + c

Lesson 16/17 Quiz

Lesson 16/17 Power Math

Lesson 18: Factoring Trinomials When “a>1” Where “a” is the Coefficient on the x2 Term

Level 18 Power Math

Lesson 18 Quiz

Lesson 19: Factoring Using Difference of Squares

Lesson 19 Quiz

Level 19 Power Math

Lesson 20: Simplifying Rational Expressions & State the Restrictions on the Variable Values

Lesson 20 Quiz

Level 20 Power Math

Lesson 21: Multiplying & Dividing Rational Expressions

Lesson 21 Quiz

Level 21 Power Math

Lesson 22: Adding & Subtracting Rational Expressions

Lesson 22 Quiz

Level 22 Power Math

Lesson 23: Applying Operations to Rational Expressions

Lesson 23 Quiz

Lesson 23 Power Math

Lesson 24: Identifying Non-Permissible Values

Lesson 24 Quiz

Level 24 Power Math

Lesson 25: Solving Equations & Identifying Any Extraneous Roots

Lesson 25 Quiz

Lesson 25 Power Math

Lesson 26: Single Variable Inequalities

Lesson 26 Quiz

Level 26 Power Math

Lesson 27: Solving Linear Inequalities in One Variable (Including Simultaneous Inequalities) & Representing the Solution on the Number Line

Lesson 27 Quiz

Lesson 28: Finding the Domain & Range Restrictions From Problems

Lesson 28 Quiz

Level 28 Power Math

Lesson 29: Identifying Intervals Where a Function is Positive, Negative, or Zero

Lesson 29 Quiz

Level 29 Power Math

Lesson 30: Symbolic Notation for Inequality Statements, Including Interval Notation

Lesson 30 Quiz

Level 30 Power Math

Chapter 1 Mini Challenge

Math Check-In

Chapter 1: Algebra and Pre-Calculus

Chapter 2: Financial Literacy Applications Lesson Plans

Introduction Chapter 2

Lesson 1: Making & Describing Connections Between Simple Interest, Arithmetic Sequences, & Linear Growth

Level 1 Power Math

Lesson 2: Making & Describing Connections Between Compound Interest, Geometric Sequences, & Exponential Growth, Through Investigation With Technology

Lesson 3: Calculating Compound Interest: Future Value

Lesson 4: Calculating Compound Interest: Principal/Present Value

Level 4 Power Math

Lesson 4 Quiz

Lesson 5: Calculating the Interest Rate Per Compounding Period

Lesson 5 Quiz

Level 5 Power Math

Lesson 6: Determining the Number of Compounding Periods

Lesson 7: Understanding Annuities

Lesson 8: Relationships Between Ordinary Simple Annuities, Geometric Series, & Exponential Growth

Lesson 8 Quiz

Lesson 9: Determining the Effects of Changing the Conditions or Ordinary Simple Annuities

Lesson 9 Quiz

Level 9 Power Math

Lesson 10: Solving Problems, That Involve the Amount, the Present Value, & the Regular Payment of an Ordinary Simple Annuity

Chapter 2 Mini Challenge

Chapter 2: Financial Literacy Applications

Chapter 3: Trigonometry Lesson Plans

Introduction Chapter 3

Lesson 1: The Pythagorean Theorem

Lesson 2: Label Sides of a Right Triangle

Lesson 2 Power Math

Lesson 3: Using Trig Ratios to Find Missing Angles & Sides in Right Triangles

Lesson 3 Power Math

Lesson 4: Using SOH CAH TOA to Solve Real-World Problems

Lesson 5/6: Calculating the Primary & Reciprocal Trigonometric Ratios Given Two Sides of a Triangle

Lesson 5/6 Quiz

Lesson 5/6 Power Math

Lesson 7: Using the Sine Law to Solve Non-Right Triangles

Lesson 8: Using the Cosine Law to Solve Non-Right Triangles

Lesson 8 Power Math

Lesson 9: Using the Sine Law & the Cosine Law to Solve Real-World Problems

Lesson 10: Drawing Diagrams & Find Missing Sides & Angles For the Two Possibilities of the Ambiguous Case

Lesson 11: Solving Simple Trigonometric Equations

Level 11 Power Math

Lesson 12: Solving 3-Dimensional Problems Using Trigonometry

Chapter 3 Mini Challenge

Chapter 3: Trigonometry

Chapter 4: Radian Measure and Angles

Introduction Chapter 4

Lesson 1: Calculating Angles in Standard Position

Lesson 2: Reference & Coterminal Angles & Terminal Arm

Lesson 3: Angle Properties

Lesson 4: Angle Proofs

Lesson 5: Special Angles

Lesson 5 Power Math

Lesson 6A: Unit Circle

Lesson 6A Power Math

Lesson 6A Quiz

Lesson 6B: Radians & Arc Length

Lesson 6B Quiz

Lesson 6B Power Math

Lesson 7: Converting From Radians to Degrees & From Degrees to Radians

Lesson 7 Power Math

Lesson 8: Use Trigonometry to Find the Area of a Sector

Lesson 9: Use Trigonometry to Find the Area of a Sector & a Segment

Lesson 9 Power Math

Lesson 10: Solving Problems Concerning the Arc Length & Sector Area of a Circle

Lesson 10 Power Math

Chapter 4 Mini Challenge

Chapter 5: Congruence and Similarity Lesson Plans

Introduction Chapter 5

Lesson 1: Determining Whether Two Triangles are Congruent or Similar

Lesson 2: Ratio of Areas of Similar Plane Figures

Lesson 3: Ratio of Volumes of Similar Solids

Lesson 4: Comparing the Properties of Similar Objects

Lesson 5: Maximizing Area or Volume While Minimizing Perimeter Enlargements & Reductions of 2D Objects

Lesson 6: Maximizing Area or Volume While Minimizing Perimeter Enlargements & Reductions of 3D Object

Chapter 5 Mini Challenge

Chapter 5: Congruence and Similarity

What will you learn?In this course, you will explore advanced mathematical concepts essential for building your foundation with advanced calculus. You will be exploring algebra and its applications in the world of calculus, applications of calculus in finance, as well as applications of calculus in other facets of mathematics.This will allow you to develop an essential skillset of mathematical skills that are highly applicable in real life and in many careers. Subjects in this course include learning about making connections between mathematical concepts and analyzing how they can be applied to solve advanced problems, using mathematical theorems and laws to solve problems, and using math and calculus in real-life applications.What curriculums does Grade 11 Advanced pre-calculus follow?Our Grade 11 Pre-Calculus course covers topics needed for the AP, IB, British A levels, Ontario Gifted Programs and Singapore Math.What is in the program?This online app will help you learn at your own pace covering a range of topics all simplified with:✅ GetCertificatesand Report Cards✅Continuous Feedbackas you go through the program✅ Easy to UnderstandInteractive Lessons✅ On Demand One-on-OneTeacher Support✅Gamified Learningwith Pop Quizzes, Mini Challenges and Practice ProjectsOur expertise in MathExplorer Math prepares all students from Grade 6-12 to learnadvanced international mathfrom the comfort of your home. Not only will your child be prepared to succeed from a global standpoint, but they will also bedeveloping an innate passion for math that they can actually apply!Our curriculums exceed the requirements ofMinistry of OntarioCanadian General Level (BC and other provinces)British (IGSE + A Levels)International Baccalaureate (IB)Singapore and Advance Placement (AP)AP Math curriculums (including AP Statistics &amp;amp; AP

Math Grade 11 Pre-Cal (Level 6B): Build advanced skills in algebra, calculus applications, mathematical connections, theorems, laws, and financial math. Learn through interactive lessons, self-paced practice, quizzes, challenges, projects, and gamificatio

Math Grade 11 Pre-Cal (Level 6B)

Kenny Nguyen

Course Details

Course content

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