High School. High School. Page 1 Columbus Public Schools 8/11/04. Grids and Graphics

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1 Page Columbus Public Schools 8//04

2 Table of Contents 0 by 0 Grids p by 20 Grids p. 4 Algebra Tiles Template p. 5 Bingo Card p. 6 Blank Geoboards p. 7 Blank Circle Graph p. 8 Blank Number Lines p. 9 Centimeter Grid p. 0 Circular Fraction Pieces pp. -4 Coordinate Grid p. 5 Dot Paper p. 6 Equation Mat p. 7 Half-Inch Grid p. 8 Isometric Dot Paper p. 9 Ohio Graduation Test Mathematics Reference Sheet p. 20 One-Inch Grid Paper p. 2 Pascal s Triangle p. 22 Pattern Block Templates pp Protractor p. 29 Quarter-Inch Grid p. 30 Rectangular Fraction Pieces p. 3 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 Page 2 Columbus Public Schools 8//04

3 0 by 0 Grids Page 3 Columbus Public Schools 8//04

4 20 by 20 Grids Page 4 Columbus Public Schools 8//04

5 Algebra Tiles Template Page 5 Columbus Public Schools 8//04

6 Bingo Card Free Space Page 6 Columbus Public Schools 8//04

7 Blank Geoboards Page 7 Columbus Public Schools 8//04

8 Blank Circle Graph Page 8 Columbus Public Schools 8//04

9 Blank Number Lines Page 9 Columbus Public Schools 8//04

10 Centimeter Grid Page 0 Columbus Public Schools 8//04

11 Circular Fraction Pieces whole 2 2 Page Columbus Public Schools 8//04

12 Circular Fraction Pieces Page 2 Columbus Public Schools 8//04

13 Circular Fraction Pieces Page 3 Columbus Public Schools 8//04

14 Circular Fraction Pieces Page 4 Columbus Public Schools 8//04

15 Coordinate Grid Page 5 Columbus Public Schools 8//04

16 Dot Paper Page 6 Columbus Public Schools 8//04

17 Equation Mat Page 7 Columbus Public Schools 8//04

18 Half-Inch Grid Page 8 Columbus Public Schools 8//04

19 Isometric Dot Paper Page 9 Columbus Public Schools 8//04

20 Ohio Graduation Test Mathematics Reference Sheet Information that may be needed to solve problems on the Mathematics Test: parallelogram rectangle Area Formulas A = bh A = lw trapezoid A = ( + 2 ) 2 hb b Volume Formulas cone V = π 2 3 r h cylinder V = πr 2 h pyramid V = Bh B = area of base 3 triangle A = 2 bh rectangular prism V = lwh Circle Formulas C = 2πr π 3.4 or 22 7 right prism V = Bh B = area of base sphere V = 4 π 3 3 r A = πr 2 n Combinations C! r = C( n, r)= n r!( n r )! n Permutations P! r = P( n, r)= n ( n r )! Distance Formula Trigonometry sin A = cos A = opposite hypotenuse adjacent hypotenuse tan A = opposite adjacent d= ( x x ) + ( y y ) Quadratic Formula 2 x= -b± b 4ac 2a x 2 45 x x 60 2x 30 x 3 Page 20 Columbus Public Schools 8//04

21 One-Inch Grid Paper Page 2 Columbus Public Schools 8//04

22 Pascal s Triangle Template Page 22 Columbus Public Schools 8//04

23 Pattern Block Template Hexagon Page 23 Columbus Public Schools 8//04

24 Pattern Block Template Large Rhombus Page 24 Columbus Public Schools 8//04

25 Pattern Block Template Small Rhombus Page 25 Columbus Public Schools 8//04

26 Pattern Block Template Square Page 26 Columbus Public Schools 8//04

27 Pattern Block Template Trapezoid Page 27 Columbus Public Schools 8//04

28 Pattern Block Template Triangle Page 28 Columbus Public Schools 8//04

29 Protractor These protractors can be copied on transparencies and then cut apart for students to use Page 29 Columbus Public Schools 8//04

30 Quarter-Inch Grid Page 30 Columbus Public Schools 8//04

31 Rectangular Fraction Pieces whole Page 3 Columbus Public Schools 8//04

32 Ruler Metric and Standard Page 32 Columbus Public Schools 8//04

33 Small Coordinate Grids Page 33 Columbus Public Schools 8//04

34 Small Rulers mm mm mm mm mm mm Page 34 Columbus Public Schools 8//04

35 Spinners Page 35 Columbus Public Schools 8//04

36 Tangram Template Page 36 Columbus Public Schools 8//04

37 Venn Diagram Template Page 37 Columbus Public Schools 8//04

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39 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 prekindergarten and continue throughout a student s schooling. Geometry Websites of Interest Page of 3 Columbus Public Schools 8//04

40 Websites of Interest PBS Teacher Source 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 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) 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 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 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 This site has a wealth of information related to math and science for grades Kindergarten through college. Ohio Department of Education 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 2 of 3 Columbus Public Schools 8//04

41 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. (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. At this site you will find several versions of coordinate, semi-logarithmic, full logarithmic, polar, and triangular graph paper. 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. Several forms of coordinate graphs and number lines sized just right for homework and tests. Not only does this site have graph paper it contains notebook paper, Lego design paper, music paper, and award certificates. Outline maps for states, countries, regions, and the world. Geometry Websites of Interest Page 3 of 3 Columbus Public Schools 8//04