### Goals and Courses for Students with Interests in

STEM

### Goals and Courses for Students with Interests in STEM

### Dear Students

Welcome to Grade 8 Mathematics. This is the grade where you will fully master Algebra 1, Geometry, and Statistics and you will be fully ready for High School! Please remember when you start learning a new concept, it's perfectly okay to go slow. There's absolutely no point rushing - the important point is to grasp the concept and to use it for solving problems. So take your time and go thru every lesson. Some of the topics you might already know and it's perfectly alright to skip them. However, we encourage that you watch the videos as a review session. Often times your teacher will show you some tricks and also will talk about where and how a concept is used in real life.

You also have so many other things to learn in grade 8, so we suggest you spend 30-45 min every day in learning mathematics. If you give your best just for 30 min, you will find that Mathematics is so easy - it's just a collection of a few rules! that's all.

Please feel free to ask us any questions that you might have. We are here to help and will make sure that you will get all the help to understand a concept fully.

Good luck and enjoy grade 8 🙂

## Courses

## Units

## Courses & Units

## 1

### Single Variable Equations

Small Steps: There are 30 lessons in this course. You should try to do just 1 lesson every day (20-30 min). With just 30 min a day, you will master every concept in just 30 days.

- Unit 1: Simple one step equations
- Unit 2: One step equations involving multiplication and division
- Unit 3: Two step equations when variable is multiplied by a number ( Example : 3x+5 = 23)
- Unit 4: Two step equations when variable is divided by a number ( Example : x/4+8 = 23)
- Unit 5: Two step equations with both multiplication and division ( Example : 3x/5+9 = 23)
- Unit 6: Multi step equations ( Example : (3x-2)/4 = 12)
- Unit 7: Equations with negative variables
- Unit 8: Equations with variables on both sides of equal sign
- Unit 9: Equations with variables in the denominator ( Intro to rational equations)
- Unit 10: Equations with parentheses

## 2

### Single Variable Inequalities

Small Steps: There are 12 lessons in this course. You should try to do just 1 lesson every day (20-30 min). With just 30 min a day, you will master every concept in just 12 days.

- Unit 1: Inequalities with addition and subtraction ( One step Inequalities)
- Unit 2: Inequalities with multiplication
- Unit 3: Inequalities with variables on both sides
- Unit 4: Inequalities with negative variables

## 3

Small Steps: There are 12 lessons in this course. You should try to do just 1 lesson every day (20-30 min). With just 30 min a day, you will master every concept in just 12 days.

- Unit 1 - Intro to whole number exponents
- Unit 2 - Exponent Rules - Multiplication of exponents with same base
- Unit 3 - Exponent Rules - Division of exponents with same base
- Unit 4 - Exponent Rules - Power distribution
- Unit 5 - Exponent Rules - Power of power
- Unit 6 - Negative exponents
- Unit 7 - Scientific notations

## 4

### Linear Equations and Graphing

Small Steps: There are 55 lessons in this course. You should try to do just 2 lessons every day (20-30 min). With just 30 min a day, you will master every concept in just 28 days.

- Unit 1: Intro to Linear Equation
- Unit 2: Check if an equation is linear
- Unit 3: Understanding the solution of a linear equation
- Unit 4: Basic concept of graphing
- Unit 5: Graphing linear equations
- Unit 6: Concept of intercept
- Unit 7: Find intercept by making a graph
- Unit 8: Find intercept by making a table of solutions
- Unit 9: Find intercept from equation ( No graph or table)
- Unit 10: Concept of slope
- Unit 11: Linear equation in y=mx+b format
- Unit 12: Make linear equation from slope and a point
- Unit 13: Make linear equation from 2 points
- Unit 14: Draw graph from slope and intercept information
- Unit 15: Standard form of linear equations

## 5

Small Steps: There are 16 lessons in this course. You should try to do just 1 lesson every day (20-30 min). With just 30 min a day, they will master every concept in just 16 days.

- Unit 1 - Intro to system of equations
- Unit 2 - Solve system of equations by graphing
- Unit 3 - Solve system of equations by elimination method ( Simple equations)
- Unit 4 - Solve system of equations by elimination method ( Multiply one equation to eliminate a variable)
- Unit 5 - Solve system of equations by elimination method ( Multiply both the equations to eliminate a variable)
- Unit 6 - Solve system of rational equations (Equations with variables in denominators)
- Unit 7 - Solve system of equations by substitution method

## 6

Small Steps: There are 32 lessons in this course. You should try to do just 2 lessons every day (20-30 min). With just 30 min a day, you will master every concept in just 16 days.

- Unit 1: What is quadratic equation and how to solve simple equations
- Unit 2: Solve by factorizing by grouping
- Unit 3: Solve by factorizing equations of the form x^2+bx+c=0
- Unit 4: Solve by factorizing equations of the form ax^2+bx+c=0
- Unit 5: Solve by making perfect square
- Unit 6: Formula to find solve any quadratic equations
- Unit 7: Quadratic Inequalities

## 7

Small Steps: There are 42 lessons in this course. You should try to do just 2 lessons every day (20-30 min). With just 30 min a day, you will master every concept in just 26 days.

- Unit 1: Polynomial basics
- Unit 2: Add and subtract polynomials with one variable
- Unit 3: Add and subtract polynomials with multi variables
- Unit 4: Multiplying polynomial by monomial
- Unit 5: Multiplying polynomial by polynomial
- Unit 6: Dividing polynomial by monomial using concept of fraction
- Unit 7: Dividing polynomial by monomial using long division
- Unit 8: Dividing polynomial by binomial using long division

## 8

- Unit 1: Mean of a data set
- Unit 2: Median of a data set
- Unit 3: Mode of a data set
- Unit 4: Present data using frequency table

## 9

## 10

Small Steps: There are 36 lessons in this course. You should try to do just 2 lessons every day (20-30 min). With just 30 min a day, you will master every concept in just 18 days.

- Unit 1: Understand 3D shapes
- Unit 2: Face, edge and vertex of 3D shapes
- Unit 3: Building and visualizing 3D shapes
- Unit 4: Drawing #D shapes on a flat surface
- Unit 5: Surface area of 3D shapes
- Unit 6: Volume of 3D shapes

## 11

Small Steps: There are 24 lessons in this course. You should try to do just 2 lessons every day (20-30 min). With just 30 min a day, you will master every concept in just 12 days.

- Unit 1: Angles, Lines and Basic definitions
- Unit 2: Angles in more detail
- Unit 3: Intersecting lines
- Unit 4: Parallel lines

## 12

Small Steps: There are 21 lessons in this course. You should try to do just 2 lessons every day (20-30 min). With just 30 min a day, you will master every concept in just 11 days.

- Unit 1: Classification of triangles
- Unit 2: Exterior angle property of triangles
- Unit 3: Interior angle property of triangles
- Unit 4: Property of side of triangles
- Unit 5: Special triangles
- Unit 6: Pythagorean theorem

### Middle School Courses

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**5/5

- 67 video lessons.
- 175 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 45 video lessons.
- 110 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 27 video lessons.
- 70 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 20 video lessons.
- 80 problems with video explanations.
- Unlimited Q&A session on this topic.

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**4.5/5

- 34 video lessons.
- 90 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 16 video lessons.
- 80 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 30 video lessons.
- 115 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 12 video lessons.
- 32 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 28 video lessons.
- 70 problems with video explanations.
- Unlimited Q&A session on this topic.

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**4.5/5

- 16 video lessons.
- 80 problems with video explanations.
- Unlimited Q&A session on this topic.

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**4.5/5

- 16 video lessons.
- 80 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 27 video lessons.
- 70 problems with video explanations.
- Unlimited Q&A session on this topic.

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**4.5/5

- 34 video lessons.
- 90 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 16 video lessons.
- 80 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 30 video lessons.
- 115 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 12 video lessons.
- 32 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 28 video lessons.
- 70 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 16 video lessons.
- 70 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 55 video lessons.
- 180 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 32 video lessons.
- 130 problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 42 video lessons.
- 135 problems with video explanations.
- Unlimited Q&A session on this topic.

## Basic Concepts of Geometry

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**4.5/5

- – Rectangle
- – Square
- – Parallelogram
- – Triangle
- – Trapezoid
- – Circle

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**5/5

- – Lines and Line Segments
- – Angles and Angle Classifications
- – Triangles
- – Polygons
- – Quadrilaterals
- – Circles

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**5/5

- – Basics of 3D Shapes
- – Building and Visualizing 3D shapes
- – Surface Area of 3D shapes
- – Volume of 3D shapes

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**5/5

- – Basic Definitions and Lines and Angles
- – Angles in details
- – Intersecting Lines and Angles
- – Parallel Lines and Angles

## Triangles

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**5/5

- – Classification of Triangles
- – Interior Angle Properties
- – Exterior Angle Properties
- – Sides Properties
- – Pythagorean Theorem

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**5/5

- – Proportions in Similar Triangles
- – Theorems of Triangle Similarity
- – Area and Perimeter of Similar Triangles
- – Parallel Lines inside Similar Triangles
- – Similarity in Right Triangle

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**5/5

- 17 video lessons.
- Practice problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 15 video lessons.
- Practice problems with video explanations.
- Unlimited Q&A session on this topic.

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**5/5

- 17 video lessons.
- Practice problems with video explanations.
- Unlimited Q&A session on this topic.