IB MYP Courses

Introduction

Welcome to Explorer Hop!

Explorer Hop's Financial Literacy Expertise

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 to Numbers

Lesson 1: Review: Ordering positive and negative integers, decimals and fractions

Lesson 1 Quiz

Lesson 2: Converting terminating and recurring decimals into their corresponding fractions and vice versa

Lesson 2 Quiz

Lesson 3: Using positive integer powers and associated real roots (square, cube and higher)

Lesson 3 Quiz

Lesson 4: Express one quantity as a fraction of another (where the fraction is less than 1 or greater than 1)

Lesson 4 Quiz

Lesson 5: Interpret percentages as a fraction or a decimal

Lesson 5 Quiz

Lesson 6: Solving problems involving percentage change (Including percentage increase/decrease and original value problems)

Lesson 6 Quiz

Lesson 7: Using roots, integers, and fractional indices

Lesson 7 Quiz

Lesson 8: Identify and work with fractions in ratio problems

Lesson 8 Quiz

Lesson 9 : Use ratio notation (including reduction to simplest form)

Lesson 9 Quiz

Lesson 10: Review Ratios by Solving Real-World Problems Involving Conversion, Comparison, Scaling, Mixing, and Concentration

Lesson 10 Quiz

Lesson 11: Understand and use proportion as equality of ratios

Lesson 11 Quiz

Lesson 12: Understanding direct and inverse proportion (Including graphical and algebraic representations)

Lesson 12 Quiz

Mini Challenge

Math Check-In

Chapter 1: Numbers

Introduction to Exponents and Scientific notation

Chapter 2: Lesson Plans

Lesson 1: Review: Laws of Indices (Including positive, negative, zero, and fractional indices)

Lesson 2: Review: Exponent Rules/Index Rules including fractions and negatives

Lesson 3: Rational exponents (In the lesson include rewriting roots as rational exponents)

Lesson 4: Quotient of powers (rational exponents)

Lesson 5: Rewriting mixed radical and exponential expressions

Lesson 6: Evaluating fractional exponents (negative unit-fraction and fractional base)

Lesson 7: Evaluating quotient of fractional exponents

Lesson 8: Evaluating mixed radicals and exponents

Lesson 9: Rewriting exponential expressions as A⋅Bᵗ

Lesson 10: Equivalent forms of exponential expressions

Lesson 11: Solving exponential equations using properties of exponents

Chapter 2: Exponents and Scientific Notation

Chapter 3: Lesson Plans

Introduction to Operations, Rounding, Surds, Irrational Numbers

Lesson 1: Review: Rounding to the three significant figures and decimal places

Lesson 2

Lesson 3: Operations with powers with positive and negative exponents

Lesson 4: Using fractions, surds and multiples of π

Lesson 5: Simplify surd expressions involving squares and rationalise denominators

Chapter 3: Operations, Rounding, Surds, Irrational Numbers

Introduction to Chapter 4

Chapter 4: Lesson Plans

Lesson 1: Identifying number sets (In the lesson include rational, irrational, integer, natural, and real)

Lesson 2: Venn Diagrams: Number sets

Lesson 3: Venn Diagrams: Set notation

Lesson 4: Problem solving using sets

Chapter 4: Sets

Introduction to Chapter 5

Chapter 5: Lesson Plans

Lesson 1: Defining terms: expressions, equations, formulae, identities, inequalities, terms and factors

Lesson 2: Complex numbers: introduction to imaginary numbers

Lesson 3: Imaginary unit i (In the lesson include powers of the imaginary unit, i as the principal root -1)

Lesson 4: Classifying complex numbers

Lesson 5: Adding and subtracting complex numbers

Lesson 6: Multiplying complex numbers

Lesson 7: The complex plane (plotting numbers on the complex plane)

Lesson 8: Substitute numerical values into formulae and expressions, including scientific formulae

Lesson 9: Simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions)

Lesson 10: Addition and subtraction of algebraic fractions with linear or quadratic denominator

Lesson 11: Intro to polynomials (parts of polynomial expressions)

Lesson 12: Average rate of change of polynomials (finding average rate of change, sign of average rate of change)

Lesson 13: Adding and subtracting polynomials

Lesson 13 Quiz

Lesson 14: Multiplying monomials by polynomials

Lesson 14 Quiz

Lesson 15: Multiplying binomials by polynomials

Lesson 15 Quiz

Lesson 16: Multiplying trinomials by polynomials

Lesson 16 Quiz

Lesson 17: Connecting the product of binomials with an area model

Lesson 17 Quiz

Lesson 18: Special products of polynomials (difference of squares, perfect square)

Lesson 18 Quiz

Lesson 19: Dividing polynomials by x (without and with remainders)

Lesson 19 Quiz

Lesson 20: Divide Quadratic Expressions by Linear Expressions With and Without Remainders

Lesson 20 Quiz

Lesson 21: Dividing polynomials by linear expressions

Lesson 21 Quiz

Lesson 22: Polynomial remainder theorem (finding remainders from equation)

Lesson 22 Quiz

Lesson 23: Remainder theorem: checking factors, finding coefficients

Lesson 23 Quiz

Lesson 25: Changing the subject of a formula

Lesson 25 Quiz

Lesson 26: Finding the value of an unknown quantity in a given formula

Lesson 26 Quiz

Chapter 5: Algebra and Patterns

Introduction to Chapter 6

Chapter 6: Lesson Plans

Lesson 1: Review: Arithmetic Sequences

Lesson 2: Review: Fibonacci Sequence

Lesson 3: Predicting the next term of a sequence (linear, triangular, fibonacci)

Lesson 4: Generate terms of a sequence from either a term-to-term or a position-to term rule (use trickier examples compared to the last level)

Lesson 5: Formulate an algebraic formula to describe an Arithmetic and Geometric Sequence in terms of Un

Lesson 6: Solve for missing terms in an arithmetic or geometric sequence

Lesson 7: Deduce expressions to calculate the nth term of linear and quadratic sequences

Lesson 8: Arithmetic series

Lesson 9: Geometric Series

Chapter 6: Sequences and Series

Introduction to Chapter 7

Chapter 7: Lesson Plans

Lesson 1: Describing translations as 2D vectors

Lesson 2: Addition of vectors (by scalar, diagram and column representations of vectors)

Lesson 3: Subtraction of vectors

Lesson 4: Multiplication of vectors (by scalar, diagram and column representations of vectors)

Chapter 7: Vectors

Introduction to Chapter 8

Chapter 8: Lesson Plans

Lesson 1: Definition of ‘relation’ and ‘function’

Lesson 2: Function Notation

Lesson 3: Different types of functions: Square root function and cube root function (brief overview)

Lesson 4: Different types of functions: Absolute value function – recognize and be able to graph

Lesson 5: Vertical and Horizontal Asymptotes

Lesson 4+5 Quiz

Lesson 6: End Behaviour and Discontinuities of Rational Function

Lesson 7: Symmetry and Reflection of Functions

Lesson 8: Domain and Range

Lesson 9: Calculate the points of intersections between different functions using the GDC

Lesson 10: Shifting Functions – Vertical and Horizontal Transformations

Chapter 8: Functions

Introduction to Chapter 9

Chapter 9: Lesson Plans

Lesson 1: Slope- Positive, Negative, Zero, and Undefined

Lesson 2: Point-Slope and Slope-Intercept form

Lesson 3: Plotting a linear graph from an equation

Lesson 4: Finding an equation from a linear graph

Lesson 5: Parallel and Perpendicular lines (properties, characteristics, examples)

Lesson 7: Putting it all together: From table of values to linear function to linear equation (or whatever order you think is best in the video)

Lesson 8: Describing transformed linear equations

Lesson 9: Finding POI

Lesson 10: Review: Solving linear systems using substitution

Lesson 11: Review: Solving linear systems using elimination

Lesson 13: Solving and graphing linear equalities and represent the solution on a number line and using set notation

Lesson 14: Solving problems in situational contexts (application/real-world word problems)

Chapter 9: Linear Systems and Relations

Introduction to Chapter 10

Chapter 10: Lesson Plans

Lesson 1: Different factoring methods

Lesson 1b): Different factoring methods when coefficient is not 1

Lesson 1b Quiz

Lesson 2: Expressing prime factorization of a number using powers

Lesson 3: Identify Factors, Factor Pairs, GCF, and LCM Using Factor Trees and Prime Factorization

Lesson 4: Factoring monomials

Lesson 5: Greatest common factor of monomials

Lesson 6: Taking common factor from binomial and trinomial

Lesson 7: Factoring higher degree polynomials

Lesson 8: Factorization with substitution

Lesson 9: Factor polynomials - perfect squares

Lesson 10: Factoring - difference of squares

Lesson 11: Expand and simplify second-degree polynomial expressions

Lesson 12: Factorisation of linear expressions of the form ax + bx + kay + kby

Lesson 13: Solving fractional equations that can be reduced to quadratic equations

Lesson 14: Formulating a quadratic equation in one variable to solve problems

Chapter 10: Expanding and Factoring

Introduction to Chapter 11

Chapter 11: Lesson Plans

Lesson 1: Review - What is a quadratic relation? (parabola, constant second differences, x^2)

Lesson 2: Review Key Features of Quadratic Graphs: Roots, Vertex, Maximum/Minimum, and Axis of Symmetry

Lesson 3: ax^2 + bx + c. What does standard form tell us? What key features can we identify?

Lesson 4: Factorised form – what key features can we identify from the equation? (ex finding the roots on the graph)

Lesson 5: Vertex form – what key features can we identify from the equation? (ex identifying the vertex of a parabola)

Lesson 6: Graphing quadratics on a cartesian plane, from an equation and/or from a table of values

Lesson 7: Quadratic Function Translations (show several examples and be able to describe the transformed graph)

Lesson 8: Quadratic Function Reflections (show several examples and be able to describe the transformed graph)

Lesson 9: Quadratic Function Stretches and Compressions

Lesson 10: Identify translations using vector column notation

Lesson 10B: Describing transformations with mapping notation

Lesson 11: Describing the relationship between the algebraic and graphical representations of a quadratic equation (comparing equation with graph)

Lesson 12: Review Solving Quadratic Equations by Factoring and Relating Solutions to Graph Roots (x-Intercepts)

Lesson 13: Review: Converting from vertex form to standard form

Lesson 15: What is a discriminant and what is it used for?

Lesson 17: Solve quadratic equations using the quadratic formula (review of lesson

Lesson 18A: Solve two simultaneous equations in two variables (linear/quadratic) algebraically; find approximate solutions using a graph

Lesson 18B: Solve quadratic inequalities in one variable; represent the solution set on a number line, using set notation, AND on a graph

Lesson 18B Quiz

Lesson 19: Contextualizing Quadratics: Word problems, what do roots and max/min mean in real life? (tossing a ball, etc.)

Chapter 11: Quadratic Functions

What will you learn?In this course, we will take you through various advanced level mathematical concepts, namely applications of scientific notation, mathematical operations, algebra, sequences, functions, financial and data literacy and management, and more! This will equip you with the skills you need to advance into and excel in higher levels of math. Subjects in this course include learning data analysis and collection skills, money management, how to critically think and solve problems related to coordinate geometry and various types of functions.What curriculums does Advanced Math follow?Our Grade 10 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 &amp;amp; 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, AP

Math Grade 10 Advanced (Level 5) / IB Math Advanced: Explore algebra, sequences, functions, coordinate geometry, scientific notation, data analysis, financial math, and money management through interactive lessons, practice, quizzes, challenges, projects,

Math Grade 10 (Level 5)

Math Grade 10 (Level 5)

Hasina Lookman

Course Details

Course content

Includes