### Goals and Courses for Students with Interests in

STEM

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

### Dear Students

Welcome to Grade 6 Mathematics. This is the grade where you will master pre-algebra! Please remember that 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 6, so we suggest you spend 30 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 6 🙂

## Courses

## Units

## Courses & Units

## 1

### Fractions

Small Steps: There are 65 lessons in this course. You should try to do just 3 lessons every day (20-30 min). With just 30 min a day, you will master every concept in just 20 days.

- Unit 1: Fraction basics ( Can be skipped if students know the basics)
- Unit 2: Types of fractions
- Unit 3: Equivalent fractions
- Unit 4: Compare fractions
- Unit 5: Reduce fraction to the lowest term
- Unit 6: Adding and Subtracting fractions
- Unit 7: Multiplying fractions
- Unit 8: Dividing fractions
- Unit 9: Fraction of a whole number

## 2

### Decimals

Small Steps: There are 47 lessons in this course. you should try to do just 3 lessons every day (20-30 min). With just 30 min a day, you will master every concept in just 15 days.

- Unit 1: Introduction to decimals
- Unit 2: Base 10 decimals
- Unit 3: Base 100 decimals
- Unit 4: Decimals with base 1000, 10000 etc.
- Unit 5: Place values of decimals
- Unit 6: Compare decimals
- Unit 7: Convert base 10 decimals to fractions and vice versa
- Unit 8: Convert base 100 decimals to fractions and vice versa
- Unit 9: Convert any fractions to decimals by using long division
- Unit 10: Repeating decimals
- Unit 11: Adding and Subtracting decimals
- Unit 12: Multiplying decimals
- Unit 13: Dividing decimals

## 3

### Negative Numbers

Small Steps: There are 30 lessons in this course. You should try to do just 3 lessons every day (20-30 min). With just 30 min a day, you will master every concept in just 10 days.

- Unit 1: Intro to negative numbers
- Unit 2: Adding and subtracting negative numbers
- Unit 3: Multiplying negative numbers
- Unit 4: Dividing negative numbers
- Unit 5: Absolute value of negative numbers

## 4

### Order of Operations (PEMDAS)

Small Steps: There are 15 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 7 days.

- Unit 1: Order of Operations with 3 operations
- Unit 2: Order of Operations with 4 operations
- Unit 3: Order of Operations with parentheses
- Unit 4: Order of Operations with exponents
- Unit 5: Practice all concepts

## 5

### Number System

Small Steps: There are 15 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 7 days.

- Unit 1: Natural Numbers, Whole Numbers and Integers
- Unit 2: Rational and Irrational Numbers
- Unit 3: Real Number System
- Unit 4: Multiples and Factors of a number
- Unit 5: LCM and GCF of numbers
- Unit 6: Prime numbers
- Unit 7: Power of a number - square and cube
- Unit 8: Square and cube root of a number

## 6

### Ratio-Rate-Percent

Small Steps: There are 31 lessons in this course. You should try to do just 3 lessons every day (20-30 min). With just 30 min a day, you will master every concept in just 10 days.

- Unit 1: Intro to ratio
- Unit 2: Equivalent ratios
- Unit 3: Intro to Rate
- Unit 4: Intro to Percents
- Unit 5: Percent of a number
- Unit 6: Difference of 2 numbers as percent

## 7

### Variables and Algebraic Expressions

Small Steps: There are 20 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 10 days.

- Unit 1: Intro to Variables and Algebraic Expressions
- Unit 2: Evaluating Algebraic Expressions
- Unit 3: Adding and Subtracting variables
- Unit 4: Multiplying variables

## 8

### 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

## 9

### 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

## 10

## Basic Geometry - Perimeter and Area

Small Steps: There are 30 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 15 days.

- Unit 1: Perimeter of Rectangles and Squares
- Unit 2: Area of Rectangles and Squares
- Unit 3: Find area and Perimeter of shapes
- Unit 4: Area of parallelogram
- Unit 5: Area of triangle
- Unit 6: Area of trapezoid
- Unit 7: Area and Perimeter of a circle

## 11

## Classification of Geometric Shapes

Small Steps: There are 30 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 15 days.

- Unit 1: Lines, Rays and Line Segments
- Unit 2: Angles
- Unit 3: Triangles
- Unit 4: Polygons
- Unit 5: Quadrilaterals
- Unit 6: Circles

## 12

- Unit 1: Present data using bar diagram
- Unit 2: Present data using histogram
- Unit 3: Present data using dot plot
- Unit 4: Present data using frequency table

### Middle School Math 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.