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High School Grids and Graphics
Page 2 Columbus Public Schools 8/22/04
Table of Contents
10 by 10 Grids p. 3 20 by 20 Grids p. 4 Algebra Tiles Template p. 5 Bingo Card p. 6 Blank 11 × 11 Geoboards p. 7 Blank Circle Graph p. 8 Blank Number Lines p. 9 Centimeter Grid p. 10 Circular Fraction Pieces pp. 11-14 Coordinate Grid p. 15 Dot Paper p. 16 Equation Mat p. 17 Half-Inch Grid p. 18 Isometric Dot Paper p. 19 Ohio Graduation Test Mathematics Reference Sheet p. 20 One-Inch Grid Paper p. 21 Pascal’s Triangle p. 22 Pattern Block Templates pp. 23-28 Protractor p. 29 Quarter-Inch Grid p. 30 Rectangular Fraction Pieces p. 31 Ruler Metric and Standard p. 32 Small Coordinate Grids p. 33 Small Rulers p. 34 Spinners p. 35 Tangram Template p. 36 Venn Diagram Template p. 37
20 by 20 Grids
High School Grids and Graphics
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High School Grids and Graphics
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Circular Fraction Pieces
1 whole
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12
High School Grids and Graphics
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Circular Fraction Pieces
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High School Grids and Graphics
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Circular Fraction Pieces
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16
High School Grids and Graphics
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Circular Fraction Pieces
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10
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110
1
10
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110
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High School Grids and Graphics
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Ohio Graduation Test Mathematics Reference Sheet
Information that may be needed to solve problems on the Mathematics Test:
Area Formulas
parallelogram A = bh rectangle A = lw trapezoid A = 1
2 h b
triangle A = 1
2 bh
Circle Formulas
C = 2πr π ≈ 3.14 or
A = πr2
1 2( + )b
227
2r h
r h2
r
−n r!= ( , ) = !( )!
nC C n r r n r
−n r!= ( , ) = ( )!
nP P n r n r
− + −2 21 2 1 2d = ( ) ( )x x y y
± −2- 4x = 2b b ac
a
oppositehypotenuse
adjacenthypotenuse
oppositeadjacent
2
3
2x 60° x 30°
x
x
45°x
Trigonometry
sin A =
cos A =
tan A =
Combinations
Permutations
Distance Formula
Quadratic Formula
Volume Formulas
cone V = π13
cylinder V = π pyramid V = 1
3 Bh B = area of base
rectangular prism V = lwh right prism V = Bh B = area of base sphere V = π 34
3
High School Grids and Graphics
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One-Inch Grid Paper
High School Grids and Graphics
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High School Grids and Graphics
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Pascal’s Triangle Template
High School Grids and Graphics
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High School Grids and Graphics
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Pattern Block Template Hexagon
High School Grids and Graphics
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Pattern Block Template Large Rhombus
High School Grids and Graphics
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Pattern Block Template Small Rhombus
High School Grids and Graphics
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Pattern Block Template Square
High School Grids and Graphics
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Pattern Block Template Trapezoid
High School Grids and Graphics
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Pattern Block Template Triangle
High School Grids and Graphics
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Protractor
These protractors can be copied on transparencies and then cut apart for students to use.
100
80 90 110
70 120
60 130
50 140 40 150
30 160 20
170 10
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120
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150 30
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170 10
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50 140 40 150
30 160 20
170 10
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160 20
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80 90 110
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60 130
50 140 40 150
30 160 20
170 10
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150 30
160 20
170 10
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20 160
30 150
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50 60
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110 120
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80 90
100 110
70 120
60 130
50 140 40 150
30 160 20
170 10
100
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170 10
20 160
30 150
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50 60
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110 120
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10 170 20 160
30 150 40
140 50
130 60
120 70
110 90 100
10 170
20 160
30 150
40
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50 60
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110 120
130
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10 170 20 160
30 150 40
140 50
130 60
120 70
110 90 100
10 170
20 160
30 150
40
140
50 60
70
110 120
130
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10 170 20 160
30 150 40
140 50
130 60
120 70
110 90 100
10 170
20 160
30 150
40
140
50 60
70
110 120
130
80
10 170 20 160
30 150 40
140 50
130 60
120 70
110 90 100
High School Grids and Graphics
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Rectangular Fraction Pieces
1 whole 12
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14
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16
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16
112
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High School Grids and Graphics
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Small Rulers
mm
1614 1512 1311 9 108765 3 4 1 2
mm
1614 1512 1311 9 108765 3 4 1 2
mm
1614 1512 1311 9 108765 3 4 1 2
mm
1614 1512 1311 9 108765 3 4 1 2
mm
1614 1512 1311 9 108765 3 4 1 2
mm
1614 1512 1311 9 108765 3 4 1 2
High School Grids and Graphics
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Technology
Technology is a means by which we can learn, teach, and participate in mathematics. There are a variety of technological tools available for computing, measuring, capturing and drawing visual images, analyzing data, and solving problems. These tools enhance, not replace, the more traditional ways of doing mathematics. Instead of students being overly concerned about efficiently and effectively computing, these tools assist with the computation so that the student can focus on reasoning, interpreting, and analyzing problems. The teacher plays an important role in deciding when and to what extent technology will be used. Technology can help teachers connect the learning of various mathematical skills with the development of mathematical understanding for major concepts. As students use computers and calculators the teacher has an opportunity to observe them and to focus on the processes used by students while they are investigating and solving problems. Students can explore and solve problems using large numbers or they can investigate characteristics of shapes or construct graphs using various software or programs available in our district. Technology should be integrated into the mathematics curriculum whenever it is appropriate. Technology engages students in higher levels of thinking and applying mathematics. The use of calculators, digital cameras, computers, and other technological tools should begin in pre-kindergarten and continue throughout a student’s schooling.
Geometry Websites of Interest
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Geometry Websites of Interest
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Websites of Interest
PBS Teacher Source www.pbs.org/teachersource/math.htm This site provides lessons, video clips of lessons, and access to online professional development through TeacherLine. Teachers can search through lessons and activities by grade level and by topic. Ohio Resource Center www.ohiorc.org This site contains websites and lessons that have been correlated to the new Ohio state standards. Mathematics, science, and reading activities can be search by grade level or topic. National Council of Teachers of Mathematics (NCTM) www.nctm.org This site contains professional information for teachers including; activities to use with students, conference information, professional development opportunities, NCTM national mathematics standards, and resources for families. Illuminations www.illuminations.nctm.org This site contains standards based lesson plans. This site is maintained by the National Council of Teachers of Mathematics and therefore the lessons presented correlate with the national standards. Many lessons include applets that allow students to explore a mathematical concept. The Math Forum mathforum.com This site features; an Internet newsletter that is delivered via email weekly (to subscribe follow the directions after clicking on Internet Newsletter), Ask Dr. Math, problems of the week, a math library, a teacher discussion group (Teacher2Teacher), and teacher lesson plans. Eisenhower National Clearinghouse www.enc.org This site has a wealth of information related to math and science for grades Kindergarten through college. Ohio Department of Education www.ode.state.oh.us This website provides information related to the Ohio Graduation Test, Ohio Proficiency Test, State of Ohio Mathematics Standards, and Model Curriculum.
Geometry Websites of Interest
Page 3 of 3 Columbus Public Schools 8/22/04
Websites for Graph Paper and More!
Below you will find great web sites to visit for graph paper and other things to use in your math activities. http://www.mathematicshelpcentral.com/graph_paper.htm (requires Adobe Acrobat Reader version 5.0 or higher to view or print graphs) This is a wonderful collection of all different kinds of graphs from full-page format to several per page for multiple problems. You will also find a page set up specifically for proofs and graph paper for 3-space, polar coordinates, and logarithms. http://mathpc04.plymouth.edu/gpaper.html At this site you will find several versions of coordinate, semi-logarithmic, full logarithmic, polar, and triangular graph paper. http://mason.gmu.edu/~mmankus/Handson/manipulatives.htm This is site to go to if you need to make math manipulatives. Cutouts are available for pattern blocks, geometric shapes, base-ten and base-five blocks, xy blocks, attribute blocks, rods, and color tiles. Graph paper can be printed as well. http://www.handygraph.com/free_graphs.htm Several forms of coordinate graphs and number lines sized just right for homework and tests. http://donnayoung.org/frm/spepaper.htm Not only does this site have graph paper it contains notebook paper, Lego design paper, music paper, and award certificates. http://www.lib.utexas.edu/maps/map_sites/outline_sites.html#W Outline maps for states, countries, regions, and the world.
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