Actions with Fractions - PowerPoint PPT Presentation

PPT – Actions with Fractions PowerPoint presentation | free to download - id: 22366-YmU3Z

The Adobe Flash plugin is needed to view this content

Get the plugin now

View by Category
Title:

Actions with Fractions

Description:

Then Tommy comes and eats half of the remaining cookies. ... Activity 1: If you removed half of the eggs, draw what the egg carton would look ... – PowerPoint PPT presentation

Number of Views:143
Avg rating:3.0/5.0
Slides: 29
Provided by: drewp
Category:
Tags:
Transcript and Presenter's Notes

Title: Actions with Fractions

1
Actions with Fractions
• Drew Polly
• UNC-Charlotte

2
• There are some cookies in the jar. Susan eats
3/12 of them. Then Tommy comes and eats half of
the remaining cookies. Monique then eats 4/6 of
the remaining cookies. Lastly, Fethi eats one
were there at the beginning?

3
• Approaches/Strategies?

4
• Mathematics Content?

5

6
Fractions of a Set
• Candy sort
• Take a bag of candy (Jolly Ranchers, MMs) and
have students calculate fractions based on the
colors of the candy pieces.
• MM Graphing Activity
• Sort by color
• Bar graph, pie graph
• Integrate fractions!!

7
Fractions of a Set- Egg CartonsAdapted from NCTM
Illuminations
• Activity 1 If you removed half of the eggs, draw
what the egg carton would look like.
• What does it look like to have half of the eggs
missing?
• How many are left?
• What if we only removed one-third of the eggs.
Draw what that would look like.
• How many are left?

8
Fractions of a Set- Egg CartonsAdapted from NCTM
Illuminations
• Activity 2 Give students 5 pieces of card stock
that are the size of the egg carton.
• Students will cut the pieces into
• 1/12, 1/6, 1/4, 1/3, 1/2
• Cover half of the carton with 1/3 pieces and half
with 1/6 pieces. What do you notice about the
number of pieces needed?
• Can you think of another?

9
Fractions of a Set
• Attribute Pieces
• Given a set of attribute pieces, students
determine fractions for various categories (e.g.,
color, size, shape)
• Making your own Attribute Pieces
• Squares, Circles, Triangles
• Modify by color
• Modify by size- large and small.
• 3 shapes, 2 colors, 2 sizes 12 different pieces

10
Fractions of a Set
• Given a set of attribute pieces, students
determine fractions for various categories
• 12 pieces

What can we write fractions for?
Large red square Large red circle Large red
triangle Small red square Small red circle Small
red triangle
Large blue square Large blue circle Large blue
triangle Small blue square Small blue
circle Small blue triangle
11
• A bag contains five red marbles, three green
marbles, and four blue marbles. How many green
marbles must be added so that the probability of
drawing a green marble is 3/4?

12
• Approaches?
• How could we modify this task?

13
Spinner Probabilities
• You have a spinner with five unequal areas. The
area of Region A is 1/4. The area of Region B is
1/6. The area of Region C is 1/12. The areas of
Region D and Region E are unknown.
• What do we know about the total area of both
regions?
• What are some possible answers of Region D and
Region E?

14
Spinner Probabilities
• Modifications?

15
Spinner Probabilities
• Simplified version
• You have a spinner with three unequal areas. The
area of Region A is 1/2 of the total area. The
areas of Region B and C is unknown.
• What do we know about the total area of both
regions?
• What are some possible answers of Region D and
Region E?

16
Area (Region) Models
• Pattern blocks- Introduction
• What relationships do you notice among shapes?
• Pattern blocks- Cover the hexagon
• Cover the hexagon. Write a number sentence to
represent the values of the pieces that cover the
hexagon, which equals one.

17
Area (Region) Models
• Pattern blocks- Changing the whole
• If the triangle is the whole (unit), what is the
value of the different shapes?
• If the parallelogram is the whole (unit), what is
the value of the different shapes?

18
Area (Region) Models
• Composing and decomposing shapes
• The triangle below represents 1/4 the area of a
shape. Draw what the entire shape might look like.

19
Area (Region) Models
• Composing and decomposing shapes
• The triangle below represents 1/4 the area of a
shape. Draw what the entire shape might look like.

20
Area (Region) Models
• Geoboard (4x4 that has 5 pegs across)
• Divide your entire geoboard into 4 regions of
equal area that do not overlap?
• Can you use only triangles?

21
Area (Region) Models
22
Area (Region) Models
• Geoboard (4x4 that has 5 pegs across)
• Divide your geoboard into various regions only
using two different sizes of areas- small and
large. The small shapes must be half the area of
the large shapes.

23
Area (Region) Models
24
Area (Region) Models
• Geoboard (4x4 that has 5 pegs across)
• Divide your geoboard into various regions only
using three different sizes of areas- small,
medium, and large. The small shapes must be half
the area of the medium shapes, and the medium
shapes have to be half the area of the large
shapes.

25
Area (Region) Models
26
Area (Region) Models
If the smallest square is 1 unit by 1 unit, what
fraction represents the area of smallest square
compared to the area of the largest square? What
fraction represents the area of the smallest
square compared to the entire figure?
27
Area (Region) Models
If the smallest square is 1 unit by 1 unit, what
fraction represents the area of smallest square
compared to the area of the largest square? What
fraction represents the area of the smallest
square compared to the entire figure?
64
4
25
9
1
28
Contact Information
• Drew Polly
• abpolly_at_uncc.edu
• http//education.uncc.edu/abpolly/