6th Grade Geometry
6th Grade Area - quads, triangles, trapezoids Surface area - prisms Volume - prisms
Table of Contents
- Parallelograms
- Parallelograms (I)
- Parallelogram: Area
- Area of a Rectangle
- Triangles
- Area of a Triangle (Discovery)
- Trapezoids
- Trapezoid Transformation
- Composite Figures
- 2D Review
- Areas triangles, quadrilaterals, and polygons
Parallelograms (I)
[color=#000000]Please use these applets to help you complete the [/color][i][color=#0000ff]Parallelogram Investigation[/color][/i][color=#000000] questions given to you at the beginning of class. [/color]
Sides of a Parallelogram
Interior Angles of a Parallelogram
Diagonals of a Parallelogram
Area of a Triangle (Discovery)
[color=#000000]Interact with the applet below for a few minutes. [br][br][i]Be sure to move the [/i][b]VERTICES[/b] [i]of the triangle around each time [b]before you move the slider. [br][/b][/i][/color][br]Answer the questions that appear below the applet.
1
What LARGER FIGURE was formed when the slider reached its end? How do we know this to be true?
2.
How does the area of the original triangle compare with the area of this LARGER FIGURE?
3.
How do we find the area of this LARGER FIGURE? What is the formula we use to find it?
4.
Given your responses to (2) & (3), write a formula that gives the area of JUST ONE of these congruent triangles.
Quick (Silent) Demo
Trapezoid Transformation
Use the Slider to transform the trapezoid into something else.
1) What does the shape become?[br][br]2) How would one calculate the areas of the 2 trapezoids?[br][br]3) How would one calculate the area of just 1 trapezoid?
Areas triangles, quadrilaterals, and polygons
Solve real-world and mathematical problems involving area, surface area, and volume.
[url=http://www.corestandards.org/Math/Content/6/G/A/1/]CCSS.MATH.CONTENT.6.G.A.1[/url][br][br]Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.