Quarter 4 Week 5 Mathematics 5 Supplementary Slides

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The following is  the content from the provided sources, organized by the sequence of the slides:

Slide 1: Constructing Prisms, Pyramids, and Finding the Surface Area of a Cube

• Context: Mathematics Grade 5, Quarter 4 Lesson 5 Week 5 Supplementary Slides.
• Presenter: Grade 5 Matatag Activity Hub.

Slide 2: Welcome to the 3D World!

• 2D Flat World: Flat shapes are 2D, such as a square drawn on paper.
• 3D Solid World: Solid figures are 3D, like a box you can hold.
• Objective: Today in the Math Maker’s Workshop, we are going to build models and measure them!

Slide 3: It Starts with a Net (The Blueprint)

• Process: 1. The Net -> 2. Folding... -> 3. The Solid.
• Concept: Every 3D shape starts as a flat pattern called a Net, which acts as a blueprint. When the net is folded along the lines, it becomes a solid figure.

Slide 4: Mystery Shapes Challenge

• Guessing Challenge: Identifying the solid figure from its net.
  1. Cube: Comprised of 6 equal squares.
  2. Rectangular Prism: Comprised of rectangles and squares.
  3. Square Pyramid: A square base with triangles attached.

Slide 5: Let's Build: Prisms vs. Pyramids

• Prisms: Have two identical ends (bases) and flat sides. Examples include boxes or buildings.
• Pyramids: Have one base and faces that meet at a single point on top. Examples include the Pyramids of Egypt or a tent.

Slide 6: The Star of the Show: The Cube

• Anatomy of a Cube: Includes the Vertex (Corner), Face (Flat Surface), and Edge (Line).
• Key Features: It has 6 faces; every face is a square; all faces are equal in size.
• Goal: To become a Master Builder, one must understand the Cube.

Slide 7: The “Pull-Up” Net

• Demonstration: Imagine a net lying flat on a table. If a string is attached to the center and pulled, the sides fold up to create the walls of the cube. The flat space inside the net becomes the outside surface of the cube.

Slide 8: What is Surface Area?

• Definition: Surface Area = Total Area of All Faces.
• Analogy: It is the amount of wrapping paper needed to cover a box completely without overlapping.

Slide 9: Dissecting the Cube

• Method: Since a cube is made of 6 identical squares, you find the area of ONE square face and multiply it by 6.
• Faces to Count: Top, Bottom, Front, Back, Left, and Right.

Slide 10: The Magic Formula

• Formula: Surface Area (SA) = 6 × s².
• Breakdown: The area of one square face is A = s\times s (or s^2), where s is the length of the side. Since there are 6 faces, the result is multiplied by 6.

Slide 11: Let’s Count! (Visual Method)

• Example: A net on grid paper where each side is 3 units long.
• Calculation: Area of 1 Face = 9 square units. Total Surface Area = 9 units × 6 faces = 54 square units.

Slide 12: Let’s Calculate! (Formula Method)

• Problem: Find Surface Area if the side is 10 cm.
• Step 1: Find Area of one face (s times s): 10 times 10 = 100  cm^2.
• Step 2: Multiply by 6 faces: 6 times 100 = 600 cm^2.
• Answer: 600  cm^2

Slide 13: Your Turn! (Challenge Mode)

• Challenge: Cube side (s) = 5.5 in.
• Solution: Area = 5.5 times 5.5 = 30.25 in^2.
• Surface Area: 6 times 30.25 = 181.5 in^2.

Slide 14: Math in the Real World

• Applications: Painting a Room, Manufacturing Boxes, and Wrapping Gifts.
• Importance: We need Surface Area to know exactly how much material is required to cover, build, or wrap an object!

Slide 15: Great Job, Math Makers!

• Closing: Encouragement to like, share, and subscribe.
• Message: Having mastered the blueprints and calculations, students should keep practicing and exploring the 3D world.