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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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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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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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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MODULE 5 – Geometry
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Final Quiz
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Basic Math

What is a Percentage?

The word percent means “out of 100.”

The symbol for percent is:

%

Example:

50%

This means:
50 out of 100

Percentages help us compare quantities quickly and easily.


Understanding Percentages

A percentage tells us how much of a whole we have when the whole is divided into 100 equal parts.

Examples:

Percentage Meaning
100% The whole amount
50% Half
25% One quarter
75% Three quarters

Percentages, Fractions, and Decimals

Percentages are connected to fractions and decimals.

Percentage Fraction Decimal
50% 1/2 0.5
25% 1/4 0.25
75% 3/4 0.75
10% 1/10 0.1

Understanding these connections helps students move between different forms of numbers.


Converting Percentages to Decimals

To convert a percentage into a decimal:

  • divide by 100
  • move the decimal point two places to the left

Examples:

50% = 0.50 = 0.5

25% = 0.25

80% = 0.80 = 0.8


Converting Percentages to Fractions

Write the percentage over 100 and simplify if possible.

Examples:

25% = 25/100 = 1/4

50% = 50/100 = 1/2

75% = 75/100 = 3/4


Finding Percentages of Numbers

To find a percentage of a number:

  1. Change the percentage to a decimal
  2. Multiply

Example:

50% of 20

= 0.5 × 20
= 10

Answer: 10


Real-Life Uses of Percentages

Percentages are used in many areas of life:

Situation Example
Shopping 20% discount
School Test scores
Sports Winning percentages
Banking Interest rates
Technology Battery percentage
Weather Chance of rain

Understanding Discounts

Stores often use percentages to advertise sales.

Example:

A shirt costs $40.
There is a 25% discount.

25% of $40:
= 0.25 × 40
= 10

Discount = $10

New price:
$40 − $10 = $30