Presentation1

• newEditor
• Math
• Secondary Education
• Primary Education
• Age 6

SLIDE 1: TITLE SLIDE

Title: NUMBER PATTERNS
Subtitle: Discovering Rules, Predicting the Future
Background: Gradient blue or colorful pattern design
Graphics: Add icons of patterns (spirals, sequences, nature patterns)
Duration: 60 minutes

SLIDE 2: LEARNING OBJECTIVES

Title: What Will You Learn Today?

Content (use bullet points with icons):

• ✓ Identify and describe patterns in number sequences

• ✓ Distinguish between arithmetic and geometric sequences

• ✓ Apply rules to find missing and subsequent terms

• ✓ Recognize patterns with multiple operations

• ✓ Create your own number sequences

Design: Use checkmarks or star icons. Color-code each objective.

SLIDE 3: STARTER ACTIVITY - PATTERN DETECTIVE

Title: 🔍 PATTERN DETECTIVE

Instructions: Work with a partner. Find the next number AND the rule!

Content:

Sequence 1: 2, 4, 6, 8, ___

Sequence 2: 5, 10, 15, 20, ___

Sequence 3: 1, 2, 4, 8, ___

Sequence 4: 100, 90, 80, 70, ___

Design: Display one sequence at a time. Use large, clear numbers. Add a timer (30 seconds per sequence).

Note: Reveal answers one by one after discussion.

SLIDE 4: STARTER ACTIVITY - ANSWERS

Title: Great Detective Work!

Content:

Sequence 1: 2, 4, 6, 8, 10 | Rule: Add 2
Sequence 2: 5, 10, 15, 20, 25 | Rule: Add 5
Sequence 3: 1, 2, 4, 8, 16 | Rule: Multiply by 2
Sequence 4: 100, 90, 80, 70, 60 | Rule: Subtract 10

Design: Use different colors for each answer. Highlight the rules in bold.

SLIDE 6: REAL-WORLD EXAMPLE - OLYMPIC GAMES

Title: 🏅 The Olympic Games Pattern

Content:

Olympic Years: 2000, 2004, 2008, 2012, 2016, 2020, 2024

Question: What's the rule?

Answer: Add 4 years

Prediction: When will the next Olympics be?
2024 + 4 = 2028

Design: Use Olympic rings or medal icons. Show the sequence with arrows between years. Highlight the rule and prediction.

SLIDE 8: PATTERNS ARE EVERYWHERE

Title: 🌍 Patterns in Nature & Life

Content (with images):

• 🌳 Nature: Tree rings, animal reproduction, leaf arrangements

• 🎨 Art: Mosaics, fabrics, tessellations

• ❤️ Body: Heartbeat, breathing, sleep cycles

• ⚽ Sports: Tournament schedules, scoring patterns

• 💰 Money: Savings, interest, investments

Design: Add relevant images or icons for each category. Use vibrant colors.

SLIDE 9: ARITHMETIC SEQUENCES - DEFINITION

Title: Arithmetic Sequences

Content:

Definition: A sequence where the same number is added or subtracted each time.

Key Term: Common Difference = The number being added or subtracted

Examples:

• Add: 2, 4, 6, 8, 10, ... (Common Difference = +2)

• Subtract: 100, 90, 80, 70, ... (Common Difference = -10)

Design: Use arrows showing the operation between numbers. Color-code the common difference.

SLIDE 10: ARITHMETIC SEQUENCES - EXAMPLE 1

Title: Arithmetic Sequence Example 1

Content:

Sequence: 10, 15, 20, 25, ...

Step 1: Find the difference
15 - 10 = 5
20 - 15 = 5
25 - 20 = 5

Step 2: Identify the rule
Rule: Add 5

Step 3: Find the next three terms
25 + 5 = 30
30 + 5 = 35
35 + 5 = 40

Answer: 30, 35, 40

Design: Show the sequence with arrows and +5 labels. Use a step-by-step format with different colors for each step.

ARITHMETIC SEQUENCES - EXAMPLE 2

Title: Arithmetic Sequence Example 2

Content:

Sequence: 80, 75, 70, 65, ...

Step 1: Find the difference
75 - 80 = -5
70 - 75 = -5
65 - 70 = -5

Step 2: Identify the rule
Rule: Subtract 5 (or Add -5)

Step 3: Find the next three terms
65 - 5 = 60
60 - 5 = 55
55 - 5 = 50

Answer: 60, 55, 50

Design: Show the sequence with arrows and -5 labels. Emphasize that arithmetic sequences can go up or down.

SLIDE 12: GEOMETRIC SEQUENCES - DEFINITION

Title: Geometric Sequences

Content:

Definition: A sequence where the same number is multiplied each time.

Key Term: Common Ratio = The number being multiplied

Examples:

• Multiply by 2: 1, 2, 4, 8, 16, ... (Common Ratio = 2)

• Multiply by 3: 2, 6, 18, 54, ... (Common Ratio = 3)

Key Difference: Geometric sequences grow MUCH faster than arithmetic sequences!

Design: Use arrows showing multiplication. Show a visual comparison of growth rates (graph or chart).

GEOMETRIC SEQUENCES - EXAMPLE

Title: Geometric Sequence Example

Content:

Sequence: 4, 12, 36, 108, 324, ...

Step 1: Find the multiplier
4 × 3 = 12
12 × 3 = 36
36 × 3 = 108
108 × 3 = 324

Step 2: Identify the rule
Rule: Multiply by 3

Step 3: Find the next three terms
324 × 3 = 972
972 × 3 = 2,916
2,916 × 3 = 8,748

Answer: 972, 2,916, 8,748

Design: Show the sequence with arrows and ×3 labels. Highlight how quickly the numbers grow.

SLIDE 14: REAL-WORLD EXAMPLE - BACTERIA GROWTH

Title: 🦠 Bacteria Population (Geometric Sequence)

Content:

Scenario: A bacteria population doubles every hour.

Sequence: 2, 4, 8, 16, 32, 64, 128, ...

Rule: Multiply by 2

After 5 hours: 64 bacteria
After 10 hours: 2 × 2^10 = 2,048 bacteria!

Why This Matters: This is why bacteria spread so quickly and why infections can become serious.

Design: Use a graph showing exponential growth. Add bacteria icons. Show the dramatic increase over time.

SLIDE 15: SEQUENCES WITH MULTIPLE OPERATIONS

Title: 🔄 Multiple Operations

Content:

Definition: Some sequences use more than one operation, often alternating.

Example 1: 1, 4, 2, 8, ___, 16, ___, ___

Pattern: ×4, ÷2, ×4, ÷2, ×4, ÷2, ×4

Solution:
1 → 4 (×4) → 2 (÷2) → 8 (×4) → 4 (÷2) → 16 (×4) → 8 (÷2) → 32 (×4)

Answer: 4, 8, 32

Design: Use alternating colors for each operation. Show the pattern clearly with arrows

SLIDE 16: MULTIPLE OPERATIONS - EXAMPLE 2

Title: Multiple Operations Example 2

Content:

Sequence: 120, 60, 180, 90, ___, ___, 405

Pattern: ÷2, ×3, ÷2, ×3, ÷2, ×3

Solution:
120 → 60 (÷2) → 180 (×3) → 90 (÷2) → 270 (×3) → 135 (÷2) → 405 (×3)

Answer: 270, 135

Design: Use alternating colors for divide and multiply operations. Show step-by-step calculation.

SLIDE 17: MINI PLENARY - QUICK CHECK

Title: ✓ Quick Check - Can You Identify These?

Content:

For each sequence, find:
1. The rule
2. The type (Arithmetic, Geometric, or Multiple Operations)
3. The next term

Sequence 1: 3, 6, 9, 12, ...

Sequence 2: 2, 6, 18, 54, ...

Sequence 3: 5, 10, 5, 10, ...

Design: Display one sequence at a time. Use a timer. Leave space for student responses.

SLIDE 21: PRACTICE PROBLEMS - LEVEL 1

Title: 📝 Practice - Level 1 (Getting Started)

Content:

The rule is given. Find the next term!

1. 5, 10, 15, 20, _____ (Rule: Add 5)
2. 100, 90, 80, 70, _____ (Rule: Subtract 10)
3. 2, 6, 18, 54, _____ (Rule: Multiply by 3)

Design: Use a simple, clear format. Leave space for answers. Use encouraging language.

PRACTICE PROBLEMS - LEVEL 2

Title: 📝 Practice - Level 2 (Challenge Yourself)

Content:

Find the rule AND the next three terms!

1. 7, 14, 21, 28, _____, _____, _____
2. 1, 3, 9, 27, _____, _____, _____
3. 50, 45, 40, 35, _____, _____, _____

Design: Use a slightly more complex format. Leave space for work and answers.

PRACTICE PROBLEMS - LEVEL 3

Title: 📝 Practice - Level 3 (Advanced)

Content:

Find the rule and next three terms. Some have multiple operations!

1. 2, 8, 4, 16, _____, _____, _____
2. 100, 50, 150, 75, _____, _____, _____
3. Create your own sequence with at least 5 terms. Write the rule.

Design: Use a more sophisticated format. Include space for detailed work.

HOTS QUESTIONS - APPLICATION

Title: 🤔 Think Deeper - Application

Content:

Question: If a bacteria population doubles every hour, starting with 2 bacteria, how many will there be after 5 hours?

Sequence: 2, 4, 8, 16, 32, 64

Title: 📝 Exit Slip - Reflection

Content:

Before you leave, answer these questions:

1. Rate your understanding (😊 Confident | 😐 Somewhat | 😟 Need Help)

2. Write one rule you learned today

3. Complete: 5, 10, 20, 40, _____, _____, _____
What's the rule?

4. What was confusing?

5. Where have you seen a pattern in real life?

6. What do you want to practice more?