Fr ction Ti - Front Porch Math
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Fraction Tiles FrontPorchMath.com 1 As an Algebra teacher, I have noticed that students often have a weak understanding of fractions and tend to avoid using them. Using manipulatives for longer can help students develop a better internal understanding of fractions. Two examples of how I use the tiles: Adding and Subtracting Fractions Use the yellow tiles for adding or the starting number when subtracting, and the red tiles for what you are subtracting. I have found the key for students to make the connection between the physical fraction tiles and the processes they do on paper is to have them write out each step as they preform it with the tiles. Multiplying Fractions The tiles can be used to multiply a fraction times a fraction or mixed number. For this example, I made a transparency of the fractions divided vertically (which I laminated for extra thickness). I used whiteboard crayons to draw lines on ! " of a transparent tile. By overlaying the tiles the student can see where the two colorings overlap.
Transcript of Fr ction Ti - Front Porch Math
Fraction Tiles
FrontPorchMath.com
1
As an Algebra teacher, I have noticed that students often have a weak understanding of fractions and tend to avoid using them. Using manipulatives for longer can help students develop a better internal understanding of fractions. Two examples of how I use the tiles:
Adding and Subtracting Fractions
Use the yellow tiles for adding or the starting number when subtracting, and the red tiles for what you are subtracting.
I have found the key for students to make the connection between the physical fraction tiles and the processes they do on paper is to have them write out each step as they preform it with the tiles.
Multiplying Fractions
The tiles can be used to multiply a fraction times a fraction or mixed number.
For this example, I made a transparency of the fractions divided vertically (which I laminated for extra thickness). I used whiteboard crayons to draw lines on !" of a transparent tile. By overlaying the tiles the student can see where the two colorings overlap.
Fraction Tiles
FrontPorchMath.com
2
The tiles can be written on and disposed of, or you can laminate a set and use crayons or board markers.
Creating Unit Tiles: To make the unit tiles, either copy the color sheet or print the blank tiles on yellow (for “1”) and red (for “-1”) cardstock. Trim the sheets so that the squares line up and glue them together. The “-1” can be thought of as subtract 1 or negative 1, depending on the level of the students.
Helpful hints: I found it was best to use glue that dries clear in case you get some on the front of the cards. I also layered the drying cards between two piece of wax paper and put a book on them. After about an hour, I took off the book and the top paper and let them finish air drying. This helped keep the tiles flat and fully attached.
Table of Contents Size of tiles pages
Introduction 1-2 Fractions divided horizontally 4cm2 3-4 Fractions divided vertically 4cm2 5-6 Other fractions up to 36-ths 4cm2 6-10 Decimal Fractions 4cm2 11 Unit pieces 4cm2 12-14
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3
16
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18
110
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17
18
110
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17
18
110
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17
18
110
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17
18
110
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17
18
110
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12
12
12
12
13
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1/7 1/7 1/7 1/7
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1/8 1/8 1/8 1/8
1/9 1/9 1/9 1/9
1/10 1/10 1/10 1/10
110
110
110
110
136
136
136
136
1/36 1/36 1/36 1/36
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14
14
14
14
16
16
16
16
18
18
18
18
19
19
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19
110
110
110
110
112
112
112
112
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112
112
112
112
1/14 1/14 1/14 1/14
115
115
115
115
116
116
116
116
1/16 1/16 1/16 1/16
118
118
118
118
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1/18 1/18 1/18 1/18
120
120
120
120
1/20 1/20 1/20 1/20
1/21 1/21 1/21 1/21
124
124
124
124
1/24 1/24 1/24 1/24
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125
125
125
125
1/28 1/28 1/28 1/28
1/30 1/30 1/30 1/30
130
130
130
130
1/32 1/32 1/32 1/32
1/35 1/35 1/35 1/35
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1 1 1 1
1 1 1 1
-1 -1 -1 -1
-1 -1 -1 -1
-1 -1 -1 -1
-1 -1 -1 -1
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1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
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-1 -1 -1 -1
-1 -1 -1 -1
-1 -1 -1 -1
-1 -1 -1 -1
-1 -1 -1 -1
-1 -1 -1 -1
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