Master mathematical reasoning, geometry, number sequences, and clock time with authentic solutions for DAV Class 3 Kid Wiz Unit 5: Math Magic. Covers 2D and 3D shapes, counting puzzles, 3×3 and 4×4 magic squares, time unit conversions, and complete step-by-step solved Test Your Wisdom activities.
Unit Overview: Math Magic
Core Mathematical Concepts Covered in Unit 5:
- Geometric Shapes: Triangles, Squares, Rectangles, Circles, Hexagons, Cuboids.
- Pattern recognition in complex geometric figures and counting intersecting shapes.
- Arithmetic progressions, multiplication series, and backward counting patterns.
- Solving 3×3 Magic Squares (Constant sum 15) and 4×4 Magic Squares (Constant sum 34).
- Units of Time: Minutes, Hours, Days, Years, Decades, Centuries.
- Solving Magic Triangles and story-based word problems.
1. What Shape Am I? Geometric Shapes (Textbook Page 47)
| S.No. | Shape Riddle / Geometric Properties | Geometric Shape Name |
|---|---|---|
| 1. | I have 3 straight sides and 3 sharp corners (vertices) | Triangle |
| 2. | I have 4 equal straight sides and 4 right angles | Square |
| 3. | I have 4 sides where opposite sides are equal and parallel | Rectangle |
| 4. | I am completely round with no sides and no corners | Circle |
| 5. | I am a closed flat polygon with 6 straight sides | Hexagon |
| 6. | I am a solid 3D box having 6 rectangular faces, 12 edges, and 8 vertices | Cuboid |
2. Tricky Shapes & Counting (Textbook Page 48)
Counting Shapes in the Composite Puzzle:
• Number of Circles = 3
• Number of Rectangles = 7
• Number of Triangles = 10
3. Fun with Numbers: Sequences & Magic Squares (Textbook Page 49)
1. Complete the Number Series:
a. 5, 10, 15, 20 (Adding 5 at each step)
b. 1, 3, 9, 27, 81, 243 (Multiplying by 3 at each step)
c. 100, 200, 400, 800, 1600, 3200 (Doubling each number)
d. 496, 495, 494, 493, 492, 490 (Counting backwards)
2. Solved 3×3 Magic Square (Sum of every row, column, and diagonal = 15):
| Column 1 | Column 2 | Column 3 | Row Sum |
|---|---|---|---|
| 8 | 1 | 6 | 15 |
| 3 | 5 | 7 | 15 |
| 4 | 9 | 2 | 15 |
3. Solved 4×4 Magic Square (Sum of every row, column, and diagonal = 34):
| Col 1 | Col 2 | Col 3 | Col 4 | Row Sum |
|---|---|---|---|---|
| 1 | 15 | 14 | 4 | 34 |
| 12 | 6 | 7 | 9 | 34 |
| 8 | 10 | 11 | 5 | 34 |
| 13 | 3 | 2 | 16 | 34 |
4. Know Your Time (Textbook Page 51)
| Time Duration Given | Equivalent Unit of Time |
|---|---|
| 2. 60 Minutes | 1 Hour |
| 3. 24 Hours | 1 Day |
| 4. 12 Months (365 Days) | 1 Year |
| 5. 10 Years | 1 Decade |
| 6. 100 Years | 1 Century |
B. Read Clock Times:
Clock 1: 9:45 (Quarter to 10) | Clock 2: 12:00 (Twelve o’clock) | Clock 3: 3:15 (Quarter past 3)
Test Your Wisdom: Solved Revision Exercise (Textbook Pages 53-54)
1. Magic Triangle (Each side sums up to 20):
• Vertices (Corners): 9, 4, 7
• Numbers on edge between 9 and 4: 7 (9 + 7 + 4 = 20)
• Numbers on edge between 4 and 7: 9 (4 + 9 + 7 = 20)
• Numbers on edge between 7 and 9: 4 (7 + 4 + 9 = 20)
2. 3×3 Magic Square Arrangement:
| 8 | 3 | 4 |
|---|---|---|
| 1 | 5 | 9 |
| 6 | 7 | 2 |
3. Complete the Pattern:
a. 237, 243, 249, 255 (+6 step)
b. 580, 585, 590, 595, 600 (+5 step)
c. 800, 796, 792, 788, 784 (−4 step)
d. 1000, 995, 990, 985, 980 (−5 step)
4. Clock Face Times: 1. 5:45 | 2. 3:30
5. Quick Math Calculations:
a. 12 × 10 = 120
b. 4 dozen = 4 × 12 = 48
c. 1 decade = 10 years
d. 2 hours = 2 × 60 = 120 minutes
6. Snow White Word Problem:
Number of Dwarfs = 7
Fingers on both hands of each dwarf = 10
Total fingers = 7 × 10 = 70 fingers
7. Calendar & Story Word Problem:
Days in January = 31
Number of thieves Alibaba encountered = 40
Sum = 31 + 40 = 71
8. Shape Tallies:
a. Triangles = 3 | b. Circles = 5 | c. Squares = 3 | d. Rectangles = 2
Frequently Asked Questions (FAQ)
Q1: What is a magic square?
Ans: A magic square is an arrangement of numbers in a square grid where the sum of numbers in every row, column, and diagonal is always the same constant value.
Q2: How many years make one century?
Ans: Exactly 100 years make one century.