19. Fraction patterns the number of parts you hare Fraction of an object the tatal umber of equal parts For example, the shaded part of this shape shows the fraction You can see why if divide the shape into equal parts, each the same sized triangle: Now you can see we have 8 equal parts, with two shaded. parts shaded Bequal parts We can also move the two shaded parts together ..to show that this is the same as (1 square part shaded out of 4 equal squares) a.) What fraction of the object are the three shaded triangles? Show how you know, by dividing the object into equal parts. b.) What fraction of the object are the shaded triangles in this star? Show how you know, by dividing the object into equal parts. For credit, you must show the fraction and the drawing with equal parts shown. Do not reduce! Project 2: Number Patterns, p. 27 c.) Now combine pairs of triangles together to make squares (two triangles combine to make one square). How many filled-in squares do you now have? Draw a picture of the filled in squares and empty squares: (There is more than one correct way to draw this.) What fraction does your new picture ahow? Uee mber of shaded squares tetal umber of squares d.) Combine all the squares in part e together. Draw the new picture, showing equal larger ouares What new fraction does this show? Use tal umber of large squares 1 large shaded square

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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19. Fraction patterns
Fraction of an object =e number of parts you have
the total number of equal parts
For example, the shaded part of this shape
shows the fraction
You can see why if divide the shape into equal parts, each the same sized triangle:
Now you can see we have 8 equal parts, with two shaded.
2 2 parts shaded
sequal parts
We can also move the two shaded parts together
1 2
3
..to show that this is the same as % (1 square part shaded out of 4
equal squares)
a.) What fraction of the object are the three shaded triangles? Show how you know, by
dividing the object into equal parts.
b.) What fraction of the object are the shaded triangles in this star? Show how you know, by
dividing the object into equal parts. For credit, you must show the fraction and the
drawing with equal parts shown. Do not reduce!
Project
Number Patterns, p. 27
c.) Now combine pairs of triangles together to make squares
(two triangles combine to make one square).
How many filled-in squares do you now have?
Draw a picture of the filled in squares and empty squares:
(There is more than one correct way to draw this.)
What fraction does your new picture show? Use umber of shaded squares
total number of squares
d.) Combine all the squares in part e together. Draw the new picture, showing equal larger
squares. What new fraction does this show? Use total number of large squares
1 large shaded square
Transcribed Image Text:19. Fraction patterns Fraction of an object =e number of parts you have the total number of equal parts For example, the shaded part of this shape shows the fraction You can see why if divide the shape into equal parts, each the same sized triangle: Now you can see we have 8 equal parts, with two shaded. 2 2 parts shaded sequal parts We can also move the two shaded parts together 1 2 3 ..to show that this is the same as % (1 square part shaded out of 4 equal squares) a.) What fraction of the object are the three shaded triangles? Show how you know, by dividing the object into equal parts. b.) What fraction of the object are the shaded triangles in this star? Show how you know, by dividing the object into equal parts. For credit, you must show the fraction and the drawing with equal parts shown. Do not reduce! Project Number Patterns, p. 27 c.) Now combine pairs of triangles together to make squares (two triangles combine to make one square). How many filled-in squares do you now have? Draw a picture of the filled in squares and empty squares: (There is more than one correct way to draw this.) What fraction does your new picture show? Use umber of shaded squares total number of squares d.) Combine all the squares in part e together. Draw the new picture, showing equal larger squares. What new fraction does this show? Use total number of large squares 1 large shaded square
e.) What three equivalent fractions did you find in parts b, c, and d? Write the three
fractions as equal to each other.
Transcribed Image Text:e.) What three equivalent fractions did you find in parts b, c, and d? Write the three fractions as equal to each other.
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