

April 7
Presentation
•
Mathematics
•
6th Grade
•
Practice Problem
•
Hard
Standards-aligned
bryan rubio
Used 5+ times
FREE Resource
16 Slides • 18 Questions
1
2
3
4
Multiple Choice
What is the area of this trapezoid?
64 m
72 m
72 m2
64 m2
5
Multiple Choice
Find the area
56
35
70
28
6
Multiple Choice
What is the area of this trapezoid?
91 ft2
77 ft2
78 ft2
105 ft2
7
8
Open Ended
How can we find the total area of a space made up of different shapes such as rectangles, triangles, and circles?
9
10
11
12
Multiple Choice
Which of the following best describes a composite figure?
A figure made up of only one geometric shape
A figure made up of simple geometric shapes
A figure with no geometric shapes
A figure made up of only circles
13
14
Open Ended
Explain why decomposing the same composite figure in more than one way still gives the same total area.
15
Multiple Choice
What are the two quadrilaterals formed when the figure is divided with a horizontal line?
Rectangle and trapezoid
Square and rectangle
Trapezoid and parallelogram
Rectangle and rhombus
16
Multiple Select
Which shapes can a composite figure be divided into?
Rectangles and triangles
Squares and circles
Triangles, squares, rectangles, trapezoids
Hexagons and pentagons
17
18
Multiple Choice
Which formula will you use to find the area of a rectangle within a composite figure?
A = l × w
A = 1/2 × b × h
A = b × h
A = (a + b) × h / 2
19
Open Ended
What shapes do you see in the composite figure, and how can you break it down to find its area?
20
21
22
Fill in the Blanks
Type answer...
23
Multiple Choice
Which shapes can the roof be divided into according to the guided practice?
Right triangle, rectangle, trapezoid
Circle, square, triangle
Rectangle, parallelogram, hexagon
Triangle, pentagon, trapezoid
24
25
Open Ended
Explain two different ways you could decompose a composite figure to find its area. Why do both methods give the same total area?
26
Multiple Choice
What is the total area of the roof in square meters, based on the calculations shown?
124
100
84
140
27
28
29
30
31
Open Ended
How does understanding how to decompose composite figures help you in real-life situations, such as in architecture or design?
32
Multiple Choice
What are some strategies you can use to find the area of a composite figure?
Decompose the figure into familiar shapes and use area formulas
Estimate the area by drawing a grid
Only use the perimeter to find the area
Ignore the smaller shapes inside the figure
33
Open Ended
Explain how decomposing a composite figure into familiar shapes helps in finding its area. Provide an example from real life where this method can be applied.
34
Multiple Choice
Why do we divide shapes before finding the total area of a composite figure?
To make calculations easier
To use different formulas
To identify familiar shapes
To reduce errors
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