Course Content
MODULE 1 — Number Foundations
At the end of Module One: Number Foundations, students will be able to understand and apply place value concepts to whole numbers with confidence. They will learn how to compare and order numbers from least to greatest, round numbers accurately, and recognize the role of negative numbers in everyday math situations. Through engaging lessons and practical activities, students will strengthen their number sense and build a solid mathematical foundation for future learning.
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Understanding Place Value
Module 1 Quiz
MODULE 2 – Addition & Subtraction
In this module, students will build strong foundational skills in addition and subtraction. These two operations are essential for all areas of mathematics and are used in everyday life, from managing money to solving real-world problems. Students will learn how to add and subtract both single-digit and multi-digit numbers, understand the concepts of carrying and borrowing, solve word problems, and develop mental math strategies to improve speed and accuracy. By the end of this module, students will feel confident working with numbers in different forms and applying their skills to practical situations.
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Multi-Digit Addition
Multi-Digit Subtraction
MODULE 3 — Multiplication & Division
At the end of this module students will be able to confidently apply multiplication and division strategies to solve everyday mathematical problems. They will develop fluency with multiplication facts, understand how arrays and equal groups represent multiplication, and use multi-digit multiplication methods accurately. Students will also learn the fundamentals of long division, including solving problems with remainders, while recognizing the relationship between multiplication and division as inverse operations. Through engaging activities, games, and real-world problem-solving tasks, students will strengthen their critical thinking, improve calculation accuracy, and build confidence in working with larger numbers.
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What is Multiplication?
What is Division?
MODULE 4 – Fractions, Decimals & Percentages
At the end of Module 4: Fractions, Decimals & Percentages, students will be able to understand and apply fractions, decimals, and percentages in both mathematical and real-life situations. They will learn how to identify and compare fractions, recognize equivalent fractions, and confidently add and subtract simple fractions. Students will also explore decimals and place value, convert between fractions and decimals, and develop an introductory understanding of percentages and how they relate to everyday experiences such as shopping, money, and discounts. Through hands-on activities, visual models, and interactive exercises, students will strengthen their number sense, improve problem-solving skills, and build confidence in working with parts of a whole.
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Lesson 1 — Understanding Fractions
Lesson 2 – Understanding Decimals
Lesson 3 — Understanding Percentages
MODULE 5 – Geometry
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Geometry
34:03
Final Quiz
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Final Quiz
Basic Math

What is Place Value?

Place value is one of the most important foundations in mathematics. It helps students understand that the value of a digit depends on where it is placed within a number. Even though the digits may stay the same, changing their position changes their value completely.

 

Understanding place value allows students to read, write, compare, and work with larger numbers confidently. This concept is essential for addition, subtraction, multiplication, division, decimals, and many future math skills.

For example, in the number:


4582

Each digit has a specific value based on its position:

  • 4 is in the thousands place, so its value is 4,000
  • 5 is in the hundreds place, so its value is 500
  • 8 is in the tens place, so its value is 80
  • 2 is in the ones place, so its value is 2

This means the number

4582

can also be written as:

4,000 + 500 + 80 + 2

This is called expanded form.

 

 

Why Place Value Matters

Place value helps students:

  • Understand how numbers are built
  • Compare large numbers easily
  • Round numbers accurately
  • Solve math problems more efficiently
  • Build confidence with arithmetic and mental math

Without understanding place value, students often struggle with larger mathematical concepts later on.

Real-World Connections

Place value is used in everyday life more often than many students realize. We use place value when:

  • Reading prices in stores
  • Understanding population numbers
  • Measuring distances
  • Reading scores in sports
  • Working with money
  • Calculating time and dates

For example, understanding the difference between $45 and $405 depends entirely on place value.

Guided Practice

Students will practice identifying the value of digits in different numbers.

Example 1:
In the number 7,316:

  • 7 = 7,000
  • 3 = 300
  • 1 = 10
  • 6 = 6

Example 2:
In the number 9,205:

  • 9 = 9,000
  • 2 = 200
  • 0 = 0 tens
  • 5 = 5
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