Fractions, Decimals, and Percentages

          Module 1: Introduction to Fractions

Section 1: What Are Fractions?
- Lesson 1: Definition of a Fraction
  Module 1, Section 1, Lesson 1: Introduce the idea that a fraction represents a part of a whole.
- Lesson 2: Identifying Numerators and Denominators
  Module 1, Section 1, Lesson 2: Explain the roles of the numerator (top number) and denominator (bottom number).

Section 2: Visual Representations of Fractions
- Lesson 1: Fractions on a Circle Diagram
  Module 1, Section 2, Lesson 1: Use a circle divided into parts to demonstrate how fractions work.
- Lesson 2: Fractions on a Bar Model
  Module 1, Section 2, Lesson 2: Show fractions using a rectangular bar divided into equal parts.

Section 3: Comparing and Ordering Fractions
- Lesson 1: Understanding When Fractions are Equal or Different
  Module 1, Section 3, Lesson 1: Compare simple fractions using visuals and real-life examples.
- Lesson 2: Ordering Fractions from Smallest to Largest
  Module 1, Section 3, Lesson 2: Practice arranging fractions in order using models.

Section 4: Fraction Vocabulary and Terminology
- Lesson 1: Key Terms: Whole, Part, Half, and Quarter
  Module 1, Section 4, Lesson 1: Introduce vocabulary that describes fractions and their parts.
- Lesson 2: More Vocabulary: Equivalent, Simplest Form, and Improper Fractions
  Module 1, Section 4, Lesson 2: Build an early vocabulary foundation without going into advanced topics.

Section 5: Real-Life Applications of Fractions
- Lesson 1: Fractions in Daily Life (Food, Sharing, Time)
  Module 1, Section 5, Lesson 1: Discuss everyday situations where fractions are used.
- Lesson 2: Solving Simple Word Problems Involving Fractions
  Module 1, Section 5, Lesson 2: Practice solving problems that use fractions in real-life contexts.

Module 2: Exploring Equivalent Fractions and Simplification

Section 1: Understanding Equivalent Fractions
- Lesson 1: What Are Equivalent Fractions?
  Module 2, Section 1, Lesson 1: Explain the concept that different fractions can represent the same value.
- Lesson 2: Visual Demonstrations of Equivalency
  Module 2, Section 1, Lesson 2: Use pictures and models to compare fractions that look different but are equal.

Section 2: Creating Equivalent Fractions
- Lesson 1: Multiplying Numerators and Denominators
  Module 2, Section 2, Lesson 1: Show how to generate equivalent fractions by multiplication.
- Lesson 2: Dividing to Simplify Fractions
  Module 2, Section 2, Lesson 2: Demonstrate how dividing both parts of the fraction by the same number gives its simplest form.

Section 3: Techniques for Simplifying Fractions
- Lesson 1: Identifying Common Factors
  Module 2, Section 3, Lesson 1: Introduce the idea of common factors using simple numbers.
- Lesson 2: Step-by-Step Simplification Process
  Module 2, Section 3, Lesson 2: Walk through the steps to simplify a fraction using common factors.

Section 4: Hands-On Activities with Equivalent Fractions
- Lesson 1: Matching Game with Fraction Cards
  Module 2, Section 4, Lesson 1: Engage students in a game where they match equivalent fractions.
- Lesson 2: Fraction Puzzles and Crafts
  Module 2, Section 4, Lesson 2: Use simple craft activities to reinforce finding and creating equivalent fractions.

Section 5: Applying Equivalent Fractions in Everyday Problems
- Lesson 1: Sharing and Dividing Things Evenly
  Module 2, Section 5, Lesson 1: Work on simple real-life problems where equivalent fractions help in sharing.
- Lesson 2: Using Recipes and Measurements
  Module 2, Section 5, Lesson 2: Explore how equivalent fractions are used in cooking and measurements.

Module 3: Introduction to Decimals

Section 1: What Are Decimals?
- Lesson 1: Introduction to Decimal Numbers
  Module 3, Section 1, Lesson 1: Explain that decimals are another way to represent fractions.
- Lesson 2: Understanding the Decimal Point
  Module 3, Section 1, Lesson 2: Describe the role of the decimal point in separating whole numbers from fractions.

Section 2: Place Value in Decimals
- Lesson 1: Tenths and Hundredths
  Module 3, Section 2, Lesson 1: Discuss the value of digits in the tenths and hundredths places.
- Lesson 2: Reading and Writing Decimals
  Module 3, Section 2, Lesson 2: Practice reading and writing decimals correctly.

Section 3: Converting Fractions to Decimals
- Lesson 1: Simple Conversions Using Division
  Module 3, Section 3, Lesson 1: Show how dividing the numerator by the denominator converts a fraction to a decimal.
- Lesson 2: Guided Practice with Conversions
  Module 3, Section 3, Lesson 2: Provide practice problems to reinforce conversion skills.

Section 4: Comparing and Ordering Decimals
- Lesson 1: Using Place Value for Comparison
  Module 3, Section 4, Lesson 1: Teach strategies for comparing decimals based on place value.
- Lesson 2: Visualizing Decimals on a Number Line
  Module 3, Section 4, Lesson 2: Use a number line to help students see the order and relative size of decimals.

Section 5: Real-Life Applications of Decimals
- Lesson 1: Decimals in Money and Finance
  Module 3, Section 5, Lesson 1: Discuss how decimals appear when dealing with money.
- Lesson 2: Measurements and Decimals in Daily Situations
  Module 3, Section 5, Lesson 2: Apply decimal concepts to measurement scenarios such as length or weight.

Module 4: Connecting Fractions and Decimals

Section 1: Conversion Techniques Revisited
- Lesson 1: Recap of Converting Fractions to Decimals
  Module 4, Section 1, Lesson 1: Review the steps of converting fractions to decimals.
- Lesson 2: Converting Decimals to Fractions
  Module 4, Section 1, Lesson 2: Introduce simple methods for turning decimals back into fractions.

Section 2: Visualizing the Relationship
- Lesson 1: Using Number Lines for Both Representations
  Module 4, Section 2, Lesson 1: Compare fractions and decimals on a shared number line.
- Lesson 2: Graphical Comparison with Charts
  Module 4, Section 2, Lesson 2: Create charts that show the equivalency between fractions and decimals.

Section 3: Estimating and Rounding
- Lesson 1: Rounding Decimals to the Nearest Tenth
  Module 4, Section 3, Lesson 1: Teach rounding methods with a focus on the tenths place.
- Lesson 2: Estimating Values in Fractions and Decimals
  Module 4, Section 3, Lesson 2: Provide exercises on estimation techniques for everyday use.

Section 4: Word Problems Involving Both Forms
- Lesson 1: Mixed Problems with Fractions and Decimals
  Module 4, Section 4, Lesson 1: Solve word problems that incorporate both fractions and decimals.
- Lesson 2: Real-Life Scenarios and Problem Solving
  Module 4, Section 4, Lesson 2: Practice solving problems drawn from daily life situations.

Section 5: Review and Reinforcement
- Lesson 1: Interactive Review Session on Conversions
  Module 4, Section 5, Lesson 1: Engage in a group review that covers key concepts from the module.
- Lesson 2: Practice Exercises and Educational Games
  Module 4, Section 5, Lesson 2: Use games and hands-on activities to reinforce learning.

Module 5: Mastering Percentages

Section 1: Understanding Percentages
- Lesson 1: What Is a Percentage?
  Module 5, Section 1, Lesson 1: Define percentages as a way to express parts per hundred.
- Lesson 2: Connecting Fractions, Decimals, and Percentages
  Module 5, Section 1, Lesson 2: Explain how fractions and decimals relate to percentages.

Section 2: Calculating Percentages
- Lesson 1: Finding a Percentage of a Number
  Module 5, Section 2, Lesson 1: Introduce basic methods for calculating percentages in simple problems.
- Lesson 2: Converting Between Fractions, Decimals, and Percentages
  Module 5, Section 2, Lesson 2: Provide practice in switching among the three forms.

Section 3: Applications of Percentages
- Lesson 1: Understanding Discounts and Sales
  Module 5, Section 3, Lesson 1: Explain percentages in the context of shopping and discounts.
- Lesson 2: Interpreting Data and Surveys
  Module 5, Section 3, Lesson 2: Use simple examples to show how percentages are used to present information.

Section 4: Visualizing Percentages
- Lesson 1: Creating Pie Charts to Represent Data
  Module 5, Section 4, Lesson 1: Demonstrate how to create and read pie charts showing percentages.
- Lesson 2: Interactive Exercises with Visuals
  Module 5, Section 4, Lesson 2: Engage in activities that use graphs and charts to solidify percentage ideas.

Section 5: Problem Solving and Review
- Lesson 1: Cumulative Review Through Mixed Problems
  Module 5, Section 5, Lesson 1: Solve review problems that integrate fractions, decimals, and percentages.
- Lesson 2: Fun Challenge and Game-Based Learning
  Module 5, Section 5, Lesson 2: Conclude with engaging, interactive activities to reinforce the course essentials.