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High School

High School Grids and Graphics

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

10 by 10 Grids



20 by 20 Grids




Page 4 Columbus Public Schools 8/22/04

Algebra Tiles Template



Bingo Card

Free Space



Blank 11 × 11 Geoboards



Blank Circle Graph



Blank Number Lines



Centimeter Grid



Circular Fraction Pieces

1 whole

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Coordinate Grid



Dot Paper



Equa

tion

Mat



Half-Inch Grid



Isometric Dot Paper



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



One-Inch Grid Paper





Pascal’s Triangle Template





Pattern Block Template Hexagon



Pattern Block Template Large Rhombus



Pattern Block Template Small Rhombus



Pattern Block Template Square



Pattern Block Template Trapezoid



Pattern Block Template Triangle



Protractor

These protractors can be copied on transparencies and then cut apart for students to use.

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Quarter-Inch Grid



Rectangular Fraction Pieces

1 whole 12

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Ruler Metric and Standard



Small Coordinate Grids



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



Spinners



Tangram Template



Venn Diagram Template



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

Page 1 of 3 Columbus Public Schools 8/22/04



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.



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.

http://www.mathematicshelpcentral.com/graph_paper.htm

http://mathpc04.plymouth.edu/gpaper.html

http://mason.gmu.edu/~mmankus/Handson/manipulatives.htm

http://www.handygraph.com/free_graphs.htm

http://donnayoung.org/frm/spepaper.htm

http://www.lib.utexas.edu/maps/map_sites/outline_sites.html

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