IB MYP Courses

Introduction

Welcome to Explorer Hop!

In The News

Why is Financial Literacy Important

Girls Left Behind When it Comes to Money

ℹ️ Frequently Asked Questions

Welcome!

How Does Explorer Math Work

Big Hello From Our Math Curriculum Director, Sara Chaudhry

How Does the Mini Challenge Work?

All about Explorer Math

Chapter 1: Lesson Plans

Introduction of Number Sense

Lesson 1: Exploring the concept of infinity and limit, as they relate to number sets

Lesson 1 Quiz

Lesson 2: Operations with positive and negative fractions and mixed numbers

Lesson 2 Quiz

Lesson 3: Understand unit fractions and their relationship to other fractional amounts

Lesson 3 Quiz

Lesson 4: Work interchangeably with terminating decimals and their corresponding fractions

Lesson 4 Quiz

Lessons 1-4 Power Math

Lesson 5: Express one quantity as a fraction of another, where the fraction is less than 1 or greater than 1

Lesson 5 Quiz

Lesson 6: Review: Percentage Change

Lesson 6 Quiz

Lesson 7: Review: Original Value Problems (percentage)

Lesson 7 Quiz

Lesson 8: Review: Rates, Percentage, Proportion

Lesson 8 Quiz

Lesson 8b: Review: Rates, Percentage, Proportion

Lesson 8b Quiz

Lessons 5-8 Power Math

Lesson 9: Working with fractions in ratio word problems

Lesson 9 Quiz

Lesson 10: Convert Between Standard & Compound Units (Time, Length, Area, Volume, Mass, Speed, Rates, Prices, Density & Pressure)

Lesson 10 Quiz

Lesson 11: Using scale factors

Lesson 11 Quiz

Lesson 12: Similar Triangles: Comparing lengths between similar triangles

Lesson 12 Quiz

Lessons 9-12 Power Math

Lesson 13: Similar Triangles: Comparing the areas of similar triangles

Lesson 13 Quiz

Lesson 14: Using integers to describe changes in location and direction

Lesson 14 Quiz

Lessons 13-14 Power Math

Chapter 1 Mini Challenge

Math Check-In

Number Sense

Chapter 2: Lesson Plans

Introduction of Exponents and Scientific Notation

Lesson 1: Exploring and comparing large numbers using scientific notation

Lesson 2: Exploring and comparing very small numbers using scientific notation

Lesson 3: Evaluating Powers and simplifying numeric expressions

Lesson 4: Review: Exponent Laws/Index Laws without fractions and negatives

Lesson 5: Review: Exponent Laws/Index Laws including fractions and negatives

Lesson 6: Brackets and negative laws (reminder that (-3)^2 isn’t the same as -3^2)

Lessons 1-6 Power Math

Chapter 2 Mini Challenge

Exponents & Scientific Notation

Chapter 3: Lesson Plans

Introduction of Operations, Rounding, Surds, Irrational Numbers

Lesson 1: Complex Order of Operations with Brackets and Exponents

Lesson 2: Using appropriate forms of rounding to estimate results

Lesson 3: Unique Factorization Theorem

Lesson 4: Define: Rational vs. Irrational Numbers

Lesson 5: Perform Operations with rational and irrational numbers

Lessons 1-5 Power Math

Lesson 6: Rationalize the denominator

Lesson 7: Simplifying surds

Lesson 8: Multiplying and dividing surds

Lesson 9: Solve absolute value equations

Lesson 10: Direct and Inverse Proportion

Lessons 6-10 Power Math

Chapter 3 Mini Challenge

Operations, Rounding, Surds, Irrational Numbers

Chapter 4: Lesson Plans

Introduction of Sets

Lesson 1a: Sets

Lesson 1a Quiz

Lesson 1b: Set Terminology

Lesson 1b Quiz

Lesson 2a: Basic Set Notation

Lesson 2a Quiz

Lesson 2b: Set Builder Notation

Lesson 2b Quiz

Lesson 3: Set Operations

Lesson 4: Shading areas

Lesson 5: List and place elements in a set (up to 3 circles)

Lesson 6: Problem solving using sets

Chapter 4 Mini Challenge

Sets

Chapter 5: Lesson Plans

Introduction of Probability

Lesson 1: Review: Comparing Theoretical Probabilities to Experimental Probabilities

Lesson 2: Review: Frequency Trees and Frequency Tables

Lesson 3: Calculating Probabilities from Frequency Trees and Frequency Tables

Lesson 4: Calculating Theoretical Probability of Combined Events

Lesson 5: Calculate Compound Events

Lesson 6: Calculate Probability from sets and Venn Diagrams

Lesson 7: Calculate probabilities with replacement

Lesson 8: Calculate probabilities without replacement

Lesson 9: Apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one

Lesson 10: Understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size

Lesson 11: Construct “probability spaces” for combined experiments with likely outcomes and use these to calculate theoretical probabilities

Lessons 9-11 Power Math

Chapter 5 Mini Challenge

Probability

Chapter 6: Lesson Plans

Introduction of Data Literacy and Statistics

Lesson 1: Review creating a survey (In the lesson focus on what makes a good survey)

Lesson 2: Properties of populations or distributions from a sample (In the lesson look at sampling techniques as well)

Lesson 3: Limitations of sampling

Lesson 4: Interpret and construct tables, charts and diagrams

Lesson 5: Review: appropriate measures of central tendency and spread

Lesson 6: Using a graphic display calculator (GDC)

Lesson 7: What is an ogive?

Lesson 8: Finding the Q1, median and Q3 from a cumulative frequency curve and GDC

Lesson 9: Review: Compare, graph and interpret two sets of data from Box and whisker plots

Lesson 10: Review: Draw and interpret stem and leaf diagrams

Lesson 11: Find mean, median and mode from a stem and leaf

Lesson 12: Compare two sets of data on a stem and leaf diagram

Lesson 13: Create a scatter plot to represent the relationship between two variables

Lesson 14: Regression models and correlation

Lesson 15: Validity, reliability, and representation of data

Lesson 15 Quiz

Lessons 11-15 Power Math

Chapter 6 Mini Challenge

Data Literacy and Statistics

Introduction of Algebra

Lesson 1: Defining terms: variables, degree, number of terms, and coefficients, including the constant term

Lesson 2: Review: Distributive Law

Lesson 3: Comparing algebraic expressions to one another to identify those that are equivalent

Lesson 4: Creating algebraic expressions from word problems

Lesson 5: Simplify algebraic expressions (use one medium example and one hard example)

Lesson 6: Review: Algebraic equations: Fractions, Decimals, and Negatives

Lesson 7: Solving equations and verifying their solutions (by plugging back into equation)

Lesson 8: Distributive Law on both sides of the equation and solve by collecting like terms

Lesson 9: What is the difference between an equation and an identity?

Lessons 5-9 Power Math

Chapter 7 Mini Challenge

Algebra

Chapter 8: Lesson Plans

Introduction of Patterning

Lesson 1: Review: Arithmetic Sequences

Lesson 2: Review: Geometric Sequences

Lesson 3: Review: Fibonacci Sequence

Lesson 4: Convert a given representation of a geometric sequence to another representation of the geometric sequence

Lesson 5: Determine whether a relationship is exponential or nonexponential based on a numerical sequence whose indices increase by a constant amount

Lesson 6: Determine whether a relationship is exponential by analyzing a numerical, algebraic, or verbal representation

Lesson 7: Generate terms of a sequence from either a term-to-term or a position-to term rule

Lesson 8: Recognize and use sequences of triangular, square and cube numbers

Chapter 8 Mini Challenge

Patterning

Chapter 9: Lesson Plans

Introduction of Vectors

Lesson 1: Introduction to vectors

Lesson 2: Scalar, diagrammatic and column representations of vectors

Lesson 3: Describing translations as 2D vectors

Lesson 4: Addition of vectors (by scalar, diagrammatic and column representations of vectors)

Lesson 5: Subtraction of vectors

Lesson 6: Multiplication of vectors (by scalar, diagrammatic and column representations of vectors)

Chapter 9 Mini Challenge

Vectors

Chapter 10: Lesson Plans

Introduction of Financial Literacy

Lesson 1: Calculate simple interest

Lesson 2: Financial situations that involve appreciation and depreciation (in the lesson use associated graphs to answer related questions)

Lesson 3: Modify Budgets for Changing Circumstances: Adjust a Sample Budget, Explain Changes, and Justify Each Modification

Lessons 1-3 Power Math

Chapter 10 Mini Challenge

Financial Literacy

Chapter 11: Lesson Plans

Introduction of Linear Relations

Lesson 1: Comparing the shapes of graphs of linear and non-linear relations

Lesson 2: Deduce expressions to calculate the nth term of linear sequences

Lesson 3: Representing linear relations using graphs and equations

Lesson 4: Creating a graphical or numerical representation of a linear relationship given its constant rate of change

Lesson 5: Comparing two linear relations of the form y = ax + b graphically

Chapter 11 Mini Challenge

Linear Relations

Chapter 12: Lesson Plans

Introduction of Linear Functions

Lesson 7: Using function notation to describe the relationship between an input–output pair of a function

Lesson 8: Sketching and interpreting graphs of linear functions

Lesson 9: Problem solving with linear functions

Lesson 10: Translating, reflecting, and rotating lines defined by y = ax

Lesson 11: Determining the equations of lines from graphs of linear relations

Lesson 12: Determining the equations of lines from tables of values of linear relations

Lesson 13: Solving linear equations in one unknown

Lessons 10-13 Power Math

Lesson 14: Interpreting the solutions to a two-variable linear equation

Lesson 15: Solving linear inequalities in one variable

Lesson 16: Constructing representations of parallel or perpendicular lines

Lesson 16 Quiz

Lesson 17: Interpreting a graphical representation of a piecewise linear function

Lesson 17 Quiz

Lessons 14-17 Power Math

Lesson 18: Using a graph or tables of values to estimate the solution to a system of equations

Linear Functions

What will you learn?In this course, we will take you through various mathematical concepts, including concepts like exponents and how to use scientific notation, vectors, financial literacy, inequalities, functions, graphs, and more! This will equip you with the mathematical knowledge and skills necessary to be able to accurately and concisely make mathematical applications and connections as you advance to higher levels in math. Subjects in this course include learning about number sense, scientific notation, mathematical operations, irrational numbers, probability, patterning, algebra, vectors, and more!What curriculums does Advanced Math follow?Our Grade 9 Advanced Math course covers topics needed for the IB, British A levels, Ontario Gifted Programs, pre-AP 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, they will 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 9 Advanced (Level 4) / IB Math Advanced: Master algebra, functions, graphs, vectors, probability, scientific notation, and financial literacy with interactive lessons, self-paced practice, quizzes, challenges, projects, and gamification.

Math Grade 9 (Level 4)

Math Grade 9 (Level 4)

Hasina Lookman

Course Details

Course content

Includes