Similarity
Probability
Fractions
Area and Perimeter
Tiling a Plane
100
The perimeter of the larger is the scale factor times the perimeter of smaller figure.
How are the perimeters of the two similar figures related?
100
3/25
What is the theoretical probability of choosing a yellow balloon?
100
5/4 or 1 1/4
1/(2 )+ 3/4 = ?
100
The area is 36 square units, and the perimeter is 24 units.
A square has a side length of 6 units. Find the area and the perimeter.
100
tessallations
What is another word for tilings?
200
The area of the larger figure is the square of the scale factor times the area of the smaller figure.
How are the areas of two similar figures related?
200
10/25
What is the probability of not choosing a red balloon?
200
8/5 or 1 3/5
2 - 2/5 = ?
200
Approximately 7.07 in.
A juice can is about 2.25 inches in diameter. What is its circumference?
200
All rectangles and triangles can be used as a tile. A regular hexagon can tile the plane, but not all hexagons.
Which of these shapes work as tiles and which do not? Why? A hexagon, a rectangle, a triangle
300
possible answers 6 X 10 9 X 15 12 X 20
Rectangle A measures 3 inches by 5 inches. Find the measures of two similar rectangles.
300
10/25
What is the theoretical probability of getting a yellow or an orange balloon?
300
18/56 or 9/28
3/8 x 6/7 = ?
300
A 2x7 rectangle has a perimeter of 18 units and an area of 14 square units. A 4x5 rectangle has a perimeter of 18 units and an area of 20 square units. Any rectangle whose length and width add to 9 units will work.
Draw two shapes with perimeters of 18 units but different areas. Give the area of each shape.
300
1 x 36 2 x 18 3 x 12 4 x 9 6 x 6
Find the dimensions of two possible rectangles that can be made with 36 square tiles.
400
5/4
A figure is put in a copier using a copier size factor of 125%. What scale factor and ratio of similarity relate the copy to the original figure?
400
15/25=30/50, so the probability is the same
The number of balloons of each color is doubled. What happens to the probability of choosing a red balloon?
400
5/6
1 2/3 - 5/6 = ?
400
A 5x5 square has an area of 25 square units and a perimeter of 20 units. A 1x25 rectangle has an area of 25 square units, but a perimeter of 52 units.
Draw two shapes with areas of 25 square units but different perimeters. Give the perimeter of each shape.
400
8
A regular polygon has an angle sum of 1,080 degrees. How many sides does it have?
500
If two corresponding angles have the same measure, the third angles will have the same measure and the triangles will be similar. If all three pairs of corresponding sides have the same ratio, the triangles are similar.
What is the minimum number of side and/or angle measurements needed to check the similarity of two triangles?
500
Some possibilities: Add 1 yellow and 4 oranges, or 4 yellows and 1 orange, or 5 yellows, or 5 oranges.
How many balloons of each color would you need to add to the original bag to make the probability of drawing a red balloon 1/2?
500
15/49
5/7 divided by 2 1/3 = ?
500
6x6
Find the rectangle with an area of 36 square units and whole - number side lengths that has the smallest perimeter possible
500
Using the idea of translations, you can tile the plane with strips of parallelograms arranged so that the top of the parallelogram exactly matches the bottom of a parallelogram in the next strip. You can also offset the strips so that the top of a parallelogram matches the midpoint of the top of a parallelogram in the next strip.
Find two ways that a copies of a parallelogram can be used to tile a surface.
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