aidemia--modules-presentation_request	Create a list of slides with content for a presentation. If you have enough data, for each slide create a list of key information points (or simply provide text information for each slide). The titles of all slides must be formatted as headings (do not numerate slides)
Which subject	Mathematics
What age group	Year or Grade 7
What topic	Adding and subtracting fractions
Number of slides	20
Include images descriptions
Text to use as a source	Go teach maths
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Introduction to Adding and Subtracting Fractions

• Overview of fractions
• Importance of understanding fractions in mathematics
• Objectives for today's lesson

What is a Fraction?

• Definition: A fraction represents a part of a whole.
• Components: Numerator (top number) and denominator (bottom number).
• Example: In ( \frac{3}{4} ), 3 is the numerator and 4 is the denominator.

Types of Fractions

• Proper Fractions: Numerator is less than the denominator (e.g., ( \frac{2}{5} )).
• Improper Fractions: Numerator is greater than or equal to the denominator (e.g., ( \frac{5}{4} )).
• Mixed Numbers: Combination of a whole number and a fraction (e.g., ( 1 \frac{1}{4} )).

Visualising Fractions

• Using pie charts or bar models to visually represent fractions.
• Understanding how equal parts make up a whole.

{The image of a pie chart divided into four equal parts, with three parts shaded to represent the fraction ( \frac{3}{4} ).}

Finding a Common Denominator

• Definition of a common denominator.
• Steps to find the least common multiple (LCM).
• Example with fractions ( \frac{1}{3} ) and ( \frac{1}{4} ).

Adding Fractions with Like Denominators

• Rule: Add the numerators and keep the denominator the same.
• Example: ( \frac{2}{5} + \frac{1}{5} = \frac{3}{5} ).
• Visualisation: Show with diagrams.

{The image of two fractions with the same denominator being represented as parts of a whole, with a resultant fraction shown.}

Adding Fractions with Unlike Denominators

• Steps:
  1. Find a common denominator.
  2. Convert each fraction.
  3. Add the adjusted numerators.
• Example: ( \frac{1}{3} + \frac{1}{4} ).

Example Problem: Adding Unlike Denominators

• Problem: ( \frac{1}{2} + \frac{1}{3} )
• Find LCM of 2 and 3, which is 6.
• Convert: ( \frac{1}{2} = \frac{3}{6} ) and ( \frac{1}{3} = \frac{2}{6} ).
• Solution: ( \frac{3}{6} + \frac{2}{6} = \frac{5}{6} ).

Subtracting Fractions with Like Denominators

• Rule: Subtract the numerators and keep the denominator the same.
• Example: ( \frac{4}{5} - \frac{1}{5} = \frac{3}{5} ).

Subtracting Fractions with Unlike Denominators

• Steps:
  1. Find a common denominator.
  2. Convert each fraction.
  3. Subtract the adjusted numerators.
• Example: ( \frac{5}{6} - \frac{1}{3} ).

Example Problem: Subtracting Unlike Denominators

• Problem: ( \frac{3}{4} - \frac{1}{2} )
• Find LCM of 4 and 2, which is 4.
• Convert ( \frac{1}{2} = \frac{2}{4} ).
• Solution: ( \frac{3}{4} - \frac{2}{4} = \frac{1}{4} ).

Mixed Numbers and Improper Fractions

• Definition of mixed numbers and improper fractions.
• How to convert between them.
• Example: Converting ( \frac{9}{4} ) to a mixed number.

Adding Mixed Numbers

• Steps:
  1. Convert to improper fractions.
  2. Find a common denominator.
  3. Add and convert back if necessary.
• Example: ( 1 \frac{1}{2} + 2 \frac{1}{3} ).

Subtracting Mixed Numbers

• Similar to addition:
  1. Convert to improper fractions.
  2. Find a common denominator.
  3. Subtract and convert back if necessary.
• Example: ( 2 \frac{2}{5} - 1 \frac{1}{4} ).

Practice Problems for Adding Fractions

• ( \frac{3}{8} + \frac{1}{8} = ? )
• ( \frac{5}{12} + \frac{1}{4} = ? )

Practice Problems for Subtracting Fractions

• ( \frac{7}{10} - \frac{2}{10} = ? )
• ( \frac{3}{5} - \frac{1}{3} = ? )

Real-life Applications of Adding and Subtracting Fractions

• Cooking measurements.
• Splitting bills or sharing.
• Balancing recipes.

Summary and Review

• Key points on adding and subtracting fractions.
• Importance of finding common denominators.
• Encouragement to practice with additional worksheets.

Questions and Answers

• Invite students to ask questions.
• Clarify any doubts regarding fractions.

{The image of students engaged in a math class, with a teacher assisting them with fraction problems on a whiteboard.}