Operations with Fractions Similarity Probability Area & Perimeter Factors & Multiples 50 50 50 50 50 100 100 100 100 100 150 150 150 150 150 200 200 200 200 200 250 250 250 250 250

How are the perimeters of two similar figures related? Give an example.

The perimeter of the larger is the scale factor times the perimeter of the smaller figure.

How are the areas of two similar figures related? Give an example.

The area of the larger is the square of the scale factor times the area of the smaller figure.

Rectangle A measures 3 inches by 5 inches Rectangle A measures 3 inches by 5 inches. Find the measures of two similar rectangles.

6 X 10 9 X 15 12 X 20 etc.

A figure is put in a copier using a copier size factor of 125% 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?

What is the minimum number of side and/or angle measurements needed to check the similarity of two triangles?

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 theoretical probability of choosing a yellow balloon? Use the following information to answer this question: A bag contains 25 balloons: 15 red, 3 yellow and 7 orange. What is the theoretical probability of choosing a yellow balloon?

What is the theoretical probability of NOT choosing a red balloon? Use the following information to answer this question: A bag contains 25 balloons: 15 red, 3 yellow and 7 orange. What is the theoretical probability of NOT choosing a red balloon?

Use the following information to answer this question: A bag contains 25 balloons: 15 red, 3 yellow and 7 orange. What is the theoretical probability of getting a yellow or an orange balloon?

Use the following information to answer this question: A bag contains 25 balloons: 15 red, 3 yellow and 7 orange. The number of balloons of each color is doubled. What happens to the probability of choosing a red balloon?

The probability remains the same

Use the following information to answer this question: A bag contains 25 balloons: 15 red, 3 yellow and 7 orange. How many balloons of each color would you need to add to the original bag to make the probability of drawing a red balloon one half?

Add 2 yellows and 3 oranges Some possibilities: Add 1 yellow and 4 oranges Or Add 2 yellows and 3 oranges Add 4 yellows and 1 orange 5 yellows and 5 oranges

A square has a side length of 6 units. Find the area and perimeter.

Area is 36 square units Perimeter is 24 units

A juice can is about 2. 25 inches in diameter A juice can is about 2.25 inches in diameter. What is its circumference?

Approximately 7 inches

Draw two shapes with perimeters of 18 units but different areas Draw two shapes with perimeters of 18 units but different areas. Give the area of each shape.

2 X 7 Perimeter= 18 units Area = 14 square units 4 X 5 Perimeter= 18 units Area = 20 square units 1 X 8 Perimeter= 18 units Area = 8 square units 3 X 6 Perimeter= 18 units Area = 18 square units

Draw two shapes with areas of 25 square units, but different perimeters.

1 X 25 Perimeter= 52 units Area = 25 square units 5 X 5 Perimeter= 20 units Area = 25 square units

Find the rectangle with an area of 36 square units and whole-number side lengths that has the smallest perimeter possible.

6 X 6

Find two proper factors of 76.

Two of this set: 1, 2, 38, 4, 19

Find two proper factors of 171.

1, 3, 57

Find the least common multiple for 35 and 175.

175

Find the greatest prime number less than 112.

109

Find the greatest common factor of 370, 222, and 148.

74