What are orders of operations?
Order of operations is the set of rules that tells us the correct order to solve a math problem with different operations (addition, subtraction, multiplication, division, etc.). It makes sure everyone gets the same answer. Understanding the rules and order is crucial to finding the correct answer.
Who is the course suitable for?
Order of Operations is suitable for primary school students learning how to solve math problems and looking to build a foundation for algebra. It is suitable for high school students looking to reinforce these concepts for more complex subjects. It’s also ideal for anyone new to math who needs to grasp the basic rules of operations before moving on to advanced topics. Additionally, it’s perfect for students preparing for exams.
How does the course work?
This category includes 6 different sub-categories. Each sub-category has a variation of topics and each topic requires a specific amount of hours to complete. Being able to pick specific topics allows you to tailor the lesson to your needs. After a lesson students will be able to refine their skills by using Google Classroom with the support of their tutor. Students will also be able to go back and review important notes from completed lessons.
How do I dedicate a specific topic within my package?
You will be able to designate the hours included in your package to certain topics.
How much time should be dedicated to a topic or a category?
Depending on the student, the amount of time needed will vary. As your lessons progress, your tutor will guide you on when it is okay to move on to the next topic and will work with you to adjust based on your individual needs and progress.
Before starting the course you will be consulted via a Skype video call so that I can:
1. Learn more about you.
2. Show you how to use/set up Google Classroom and Khan Academy.
3. Help you set lesson topics, dates, times, and achievable goals.
4. Allow you to become more comfortable within the online learning environment.
What do I need to learn online?
Learning online is effective and convenient. It's most likely that you already have:
1. An internet connection with a speed of 10mbps.
2. A computer or laptop.
3. A webcam (preferred, but not necessary).
4. A comfortable spot in your home.
5. An email address.
What are the 6 sub-categories within orders of operations?
How can they help me? What will I learn?
1. Mental Maths
Many students take mental math for granted, while others are never taught it at all. In some cases, they learn through repetition, even though math is best understood by doing rather than just looking. There are simple tricks that make solving problems easier and faster without wasting time. In this course, students will discover these handy techniques, improve their ability to solve problems mentally, increase their speed, and build confidence in their math skills.
Each Topic Will Teach You How To:
Understand Number Sense – Recognize how numbers relate to each other.
Add & Subtract Quickly – Solve basic problems in your head with ease.
Multiply & Divide Efficiently – Use shortcuts and patterns for faster calculations.
Estimate Answers – Make quick approximations to check accuracy.
Use Doubling & Halving – Break numbers down for simpler calculations.
Work with Fractions & Decimals – Convert and calculate without a calculator.
Recognize Patterns – Identify number sequences and relationships.
Apply Number Bonds – Memorize pairs of numbers that add up to a total.
Square Numbers & Estimate Roots – Learn quick methods for squaring and finding square roots.
Multiply by 10, 100, & 1000 – Shift place values for fast calculations.
2. Numbers and Counting
Counting and number skills help you recognize, understand, and work with numbers by counting forward and backward, recognizing patterns, and comparing amounts. They build a strong math foundation, improve quick thinking, and make problem-solving easier in everyday life. Counting will help you understand number sequences, boost confidence in math, and handle real-life tasks like shopping, telling time, and managing money more efficiently.
Each Topic Will Teach You How To:
Recognize Numbers – Identify and read numbers correctly.
Count Forward & Backward – Move up and down in number order smoothly.
Skip Count – Count in 2s, 5s, 10s, and more for faster calculations.
Count On & Back – Add or subtract by continuing from a number.
Group & Bundle – Organize numbers into groups to understand place value.
Compare Numbers – Identify which numbers are greater, smaller, or equal.
Understand Ordinal Numbers – Learn positions like 1st, 2nd, and 3rd.
Recognize Even & Odd Numbers – Spot number patterns and differences.
Estimate Quantities – Make close guesses about amounts.
Follow Number Sequences – Identify and continue number patterns.
3. Fractions
I found that many learners struggle to understand fractions hearing the word "fractions" itself can be daunting for many learners, when in fact fractions are extremely simple to understand. The key to understanding fractions is using visual presentations. Fractions help you divide things into equal parts and compare them. These skills are important for cooking, measuring, and understanding things like money (e.g., dividing a note into smaller coins). If you understand fractions, you’ll find it easier to work with things that aren’t whole, making everyday tasks and more advanced math problems much simpler.
Each Topic Will Teach You How To:
Understand Fractions – Recognize fractions and how they represent parts of a whole.
Simplify Fractions – Reduce fractions to their simplest form.
Compare Fractions – Determine which fractions are greater or smaller.
Add and Subtract Fractions – Combine fractions with the same or different denominators.
Multiply Fractions – Multiply fractions to find parts of parts.
Divide Fractions – Divide one fraction by another.
Convert Fractions to Decimals – Change fractions into decimal form for easier calculation.
Convert Decimals to Fractions – Change decimals into fractions to understand the relationship between them.
Work with Mixed Numbers – Understand and solve problems with whole numbers and fractions combined.
Estimate Fractions – Make reasonable guesses when working with fractions in real-life situations.
4. Multiplication
Will teach you to quickly and easily multiply numbers together. These skills help you solve math problems faster and more accurately. They can be useful in everyday situations like budgeting, shopping, and figuring out time, as well as in more advanced math. Knowing multiplication well allows you to break down bigger problems into smaller, easier ones.
Each Topic Will Teach You How To:
Use Times Tables – Memorize simple multiplication facts for fast calculations. Understand how multiplying by 1 keeps numbers the same and learn multiplication tables to speed up solving problems.
Multiply Larger Numbers – Multiply bigger numbers step-by-step.
Multiply with Regrouping – Use carrying and borrowing to solve complex problems.
Recognize Patterns in Multiplication – Spot number patterns to make multiplying easier.
Solve Word Problems – Use multiplication skills to solve real-life problems.
6. Division
Being able to split numbers into equal parts helps you understand how to share things fairly or distribute things evenly. It is useful in many everyday situations, like splitting bills, dividing time, or sharing items. Learning how to divide makes solving larger problems easier and helps with fractions and ratios.
Each Topic Will Teach You How To:
Divide by 1, 10, 100, 1000, 2, 5, 10 – Understand how division works with different numbers, including shifting place values and simple division facts for quick answers.
Use Long Division – Break down large numbers into smaller parts for easier division.
Divide Larger Numbers – Understand how to divide multi-digit numbers step-by-step and learn how to handle leftover numbers when dividing.
Estimate Quotients – Make quick guesses to check your division answers.
Solve Word Problems – Use division skills to solve real-life problems.
Understand Division and Multiplication Relationships – Learn how division and multiplication are connected and work together.