appendix b - pearson educationwps.prenhall.com/.../volume_medialib/cat00596_appb.pdf · 16...
TRANSCRIPT
This appendix contains information about the Blackline Mastersthat are available to help you teach mathematics. The BlacklineMasters are available in hard copy at the end of this appendix. Youcan also download an electronic version from the CompanionWebsite (www.prenhall.com/cathcart). The Blackline Mastersare listed below:
Appendix BAppendix B
Guide to Blackline MastersGuide to Blackline Masters
DISCUSSED IN
BLM # CONTENT CHAPTER(S):
1 Base-Ten Blocks 6, 9, 12
2 Ten Frames 5
3 Hundreds Chart (0–99) 5, 6
4 Hundreds Chart (1–100) 5, 6
5 Ten-by-Ten Multiplication Array 7
6 Dice Master 8
7 Fraction Circles–Whole, Halves, 10, 11Thirds, Fourths
8 Fraction Circles—Fifths, Sixths, 10, 11Eighths, Ninths
9 Fraction Circles—Tenths, Twelfths, 10, 11Fifteenths, Sixteenths
10 Fraction Bars 10, 11
11 Decimal Grids—Whole, Tenths, 12Hundredths
12 Decimal Grids—Tenths 12
13 Decimal Grids—Hundredths 12
14 Decimal Grids—Thousandths 12
15 Decimal Grids—Tenths, 12Hundredths, Thousandths
16 Centimeter Graph Paper 12, 15
17 Geoboard Template 14
18 Geoboard Recording Paper 14
19 Tangram 14
20 Inch Graph Paper 15
to punch out these materials and store each set in a zip-top plas-tic bag. Use these as you read through the book—they will helpyou get more out of this book. The following materials are avail-able in this format:
• Fraction circles• Tangram
SUGGESTIONS FOR USING BLACKLINE
MASTERS TO CONSTRUCT MANIPULATIVE
MATERIALS
Materials to Use
You can make your materials durable by using heavy paper, suchas cardstock, and laminating them. Cardstock is available atphotocopy and office supply stores. After photocopying yourmaterials, laminate them first and then cut them.
Store your materials in zip-top plastic bags. Put enough ma-terials for one child in each bag. Quart-size bags work well forindividual sets, and larger bags, such as gallon size, can holdmultiple sets. Usually one or two gallon bags will be enough tohold a class set. Freezer bags are a good choice, because theyare quite thick and durable.
Always make extras, because some will get lost or damaged.Make at least two extra full sets so that you’ll have replace-ments. It’s much better to make some extras originally than tohave to scramble to find a few replacements in the middle of alesson or make a few extras for the next day’s lesson.
Using Color
Consider the colors you choose for the manipulatives you make.Colors add interest to materials. If you will be using overheadmanipulative materials along with the materials you make,choose paper that matches the colors of the overhead materials.It is easier for children if the materials they’re using are the samecolor as those the teacher is using on the overhead projector.
Enlarging the Blackline Masters
The Blackline Masters in this book are printed in groups of fouron each page, so you will need to enlarge a Blackline Master be-fore making multiple copies. Choose the Blackline Masteryou’d like to copy, and then enlarge it to 200% on a photocopier.
At the end of this book, a few selected Blackline Masters areprovided on heavy cardstock and perforated. Take a few minutes
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Because photocopiers vary, start by making one enlargementand check it before making multiple copies. Make sure to copythis larger image onto white paper for the best quality copies.Then make multiple copies on whatever color paper you choose.
TIPS FOR USING EACH BLACKLINE MASTER
The following section provides you with tips on using eachBlackline Master.
Base-Ten Blocks
Base-ten blocks are discussed in Chapters 6, 9, and 12. Base-tenblocks come in many colors, including yellow, orange, blue, andgreen. If actual base-ten blocks are available to the children,make sure to use the same color paper in your laminated versions.Be sure you make lots of extras, because they tend to need re-placement most often.
Ten Frames
Ten frames are discussed in Chapter 5. Copy these onto light-colored paper and laminate them.
Hundreds Charts
Hundreds charts (0–99 and 1–100) are discussed in Chapters 5and 6. Copy these onto light-colored paper and laminate them.Children can write on laminated copies with crayons and rub thewriting off.
Ten-by-Ten Multiplication Array
The ten-by-ten multiplication array is discussed in Chapter 7. Useany color you’d like. Provide each child with an L-shaped piece ofcardstock or tagboard to use with their array.
Dice Master
The dice master is discussed in Chapter 8. Copy this on anycolor but do not laminate. Cut out the dice master and fold care-fully on the lines. You can use a straight edge or ruler to makethe folds nice and crisp.
Fraction Circles
Fraction circles are discussed in Chapters 10 and 11. Copy eachdifferent circle (denominator) on a different color paper. You maywant to purchase a set of Fraction Circles Plus™ to use with yourfraction circles. If so, use the colors shown above right for the dif-ferent circles.
Laminate each circle before cutting (children can cut thesethemselves). Store each different circle (denominator) in its ownzip-top bag, with all bags in one large bag. (A gallon zip-top bagworks well, as does a large 9- × 12-inch mailing envelope.)
Fraction Bars
Fraction bars are discussed in Chapters 10 and 11. Copy eachdifferent fraction bar (denominator) on a different color paper.Laminate each bar before cutting (children can cut these them-selves). Store each different bar (denominator) in its own zip-topbag, with all bags in one large bag. (A gallon zip-top bag workswell, as does a large 9- × 12-inch) mailing envelope.)
Decimal Grids
Decimal grids are discussed in Chapter 12. Make lots of copiesof these on white or whatever light color you’d like. These areconsumables—children will use shading to represent a deci-mal—so have multiple copies available for each child.
Centimeter Graph Paper
Centimeter graph paper is discussed in Chapters 12 and 15.Make lots of copies of these on white or whatever light coloryou’d like. These are consumables, so have multiple copiesavailable for each child.
Geoboard Template
The geoboard template is discussed in Chapter 14. Make lots ofcopies of these on white or whatever light color you’d like.These are consumables, so have multiple copies available foreach child.
Geoboard Recording Paper
Geoboard recording paper is discussed in Chapter 14. Make lotsof copies of these on white or whatever light color paper you’dlike. These are consumables, so have multiple copies availablefor each child.
Tangram
Tangrams are discussed in Chapter 14. Tangrams come inmany colors, and you could have different colored sets avail-able in your classroom. Make sure to laminate them before cut-ting, and store each individual set in a zip-top bag.
Inch Graph Paper
Inch graph paper is discussed in Chapter 15. Make lots of copiesof these on white or whatever light color you’d like. These areconsumables, so have multiple copies available for each child.
FRACTION COLOR
Whole White
Halves Orange
Thirds Green
Fourths Purple
Fifths Blue
Sixths Red
Eighths Brown
Ninths Your choice (there is no ninths in the FractionCircles Plus set)
Tenths Yellow
Twelfths Gray
Fifteenths Your choice (there is no fifteenths in theFraction Circles Plus set)
Sixteenths Your choice (there are no sixteenths in theFraction Circles Plus set)
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Cathcart et al., Learning Mathematics in Elementary and Middle Schools, Fourth Edition,Copyright © 2006 by Pearson Education, Inc. All rights reserved.
BLM-1 Base-Ten Blocks BLM-2 Ten Frames
BLM-3 Hundreds Chart (0–99)
0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
40 41 42 43 44 45 46 47 48 49
50 51 52 53 54 55 56 57 58 59
60 61 62 63 64 65 66 67 68 69
70 71 72 73 74 75 76 77 78 79
80 81 82 83 84 85 86 87 88 89
90 91 92 93 94 95 96 97 98 99
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
BLM-4 Hundreds Chart (1–100)
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BLM-5 Ten-by-Ten Multiplication Array
Cathcart et al., Learning Mathematics in Elementary and Middle Schools, Fourth Edition, Copyright © 2006 by Pearson Education, Inc. All rights reserved.
BLM-6 Dice Master
BLM-7 Fraction Circles—Whole,Halves, Thirds, Fourths
BLM-8 Fraction Circles—Fifths,Sixths, Eighths, Ninths
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BLM-9 Fraction Circles—Tenths,Twelfths, Fifteenths, Sixteenths
Cathcart et al., Learning Mathematics in Elementary and Middle Schools, Fourth Edition, Copyright © 2006 by Pearson Education, Inc. All rights reserved.
whole
halves 1–22–2
thirds 1–33–3
2–3
fourths 1–44–4
2–43–4
fifths 1–55–5
3–52–5
4–5
sixths 1–66–6
3–65–6
2–64–6
eighths 2–88–8
4–86–8
1–83–8
5–87–8
ninths 2–99–9
4–96–9
1–93–9
5–97–9
tenths
twelfths
8–9
1010
510
610
710
810
910
410
310
210
110
112
212
312
412
512
612
712
812
912
1012
1112
1212
BLM-10 Fraction Bars
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BLM-11 Decimal Grids—Whole,Tenths, Hundredths BLM-12 Decimal Grids—Tenths
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BLM-13 Decimal Grids—Hundredths BLM-14 Decimal Grids—Thousandths
BLM-15 Decimal Grids—Tenths,Hundredths, Thousandths
Cathcart et al., Learning Mathematics in Elementary and Middle Schools, Fourth Edition,Copyright © 2006 by Pearson Education, Inc. All rights reserved.
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BLM-16 Centimeter Graph Paper
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BLM-17 Geoboard Template
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BLM-18 Geoboard Recording Paper
BLM-19 Tangram
Cathcart et al., Learning Mathematics in Elementary and Middle Schools, Fourth Edition,Copyright © 2006 by Pearson Education, Inc. All rights reserved.
BLM-20 Inch Graph Paper
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