Standardized Test Preparation and Tips for Success
Preparing Your Students for the Ohio Graduation Test
in Mathematics

Students should be able to review on their own using these resources.  If you are not an Ohio educator, these resources can still benefit your test prep efforts, as benchmarks in other states are similarly stated.

Download the Test Prep Strand Booklet

Measurement (pdf) This test prep booklet (about 200 KB) is designed to help you monitor your progress toward mastery of each benchmark in this strand.  You can print the entire booklet, or just those pages for benchmarks you need to work on.  Write notes in the booklet next to each resource you use in your review.

If needed, download Adobe Acrobat Reader, free software for viewing and printing PDF files.

You might need to download Java, a free plug-in from Sun Microsystems to interact with virtual manipulatives on this page.

Other strand resources:

[ Number, Number Sense, and Operations ] [ Measurement ] [ Geometry and Spatial Sense ] [ Patterns, Functions, and Algebra ] [ Data Analysis and Probability ]

What is Measurement?

Benchmarks in Measurement

A.  Solve increasingly complex non-routine measurement problems and check for reasonableness of results.

Oswego City School District (NY), Regents Prep:

• Metric/English Conversions and Rates from new Algebra section

• Analyzing in 3-D

Port Angeles (WA), Measurement:

• High School Practice Problems in Measurement

• Grade 8 Practice Problems in Measurement

Approximations for Metric Conversion from National Institute of Standards and Technology, an agency of  US Dept. of Commerce:

• Metric to English

• English to Metric

ScienceSpot.net worksheets with answers:

• Metric/English Conversions

• Metric Conversions Conversions within the metric system only.

British and Metric Conversions from Annenberg Media's Learner.org. is an interactive Web site to learn how to convert measurements between the metric system and the English (sometimes called British) system, which is commonly used in the United States.  Learn the symbols, more about length, mass, temperature, volume, and then test your knowledge.
 

B.  Use formulas to find surface area and volume for specified three-dimensional objects accurate to a specified level of precision.

Math.Com, Prisms, Pyramids, Cylinders, Cones, Spheres: lesson and workout problems

• Volume formulas

• Surface area formulas

Glencoe Online Study Tools, Geometry Concepts and Applications 2004, multiple choice practice:

• Surface Area and Volume, see any of chapter 12 self check quizzes

• Surface Area and Volume chapter 12 test

Play the Teacher.Tube video:

• Formulas From Geometry. Formulas and concepts covered include angles (complementary & supplementary), triangles (perimeter and area), isosceles triangle, equilateral triangle, right triangle, Pythagorean Theorem, similar triangles perimeter and area formulas for quadrilaterals (square, rectangle, parallelogram, trapezoid). Some diagonal formulas, too, where applicable are included. Circles (radius, diameter, circumference, area), cube (diagonal of face, diagonal of cube, surface area and volume), rectangular box [or rectangular parallelepiped] (diagonal of box, surface area and volume), prisms (volume), pyramids (volume), cone (slant height, lateral surface area, total surface area, volume), cylinder (lateral surface area, total surface area, volume), and sphere (surface area and volume) are then reviewed.

C.  Apply indirect measurement techniques, tools and formulas, as appropriate, to find perimeter, circumference and area of circles, triangles, quadrilaterals and composite shapes, and to find volume of prisms, cylinders, and pyramids. 

Edmonton Public Schools (CA), Jim Reed, Math 9:  Perimeter, Area, Surface Area, Volume including nets

 

Math.Com: Polygon Basics, Triangles, Quadrilaterals, Area of Polygons and Circles lesson and workout problems

 

AlgebraLab.org:  Fill in the blank practice problems, including word problems.  Be sure to show the related AlgebraLab documents for lessons and additional practice problems on each topic.

• Circumference and Areas of Circles

• Areas and Perimeters of Triangles and Special Qualrilaterals (parallelograms, rectangles, and trapezoids).

• Areas and Perimeters of Regular Polygons

• Surface Area and Volume for prisms, cones, pyramids, cylinders, and spheres.

Oswego City School District (NY), Regents Prep, new Algebra section: Area and Perimeter of Polygons and Circles

 

Play videos at YouTube.com:

• Perimeter and area: review basic formulas for rectangles, trapezoids, triangles, and circles. A couple of examples are included.  This was posted from Nutshellmath.com

• Area of regular polygons (Uses the general formula 1/2 * perimeter * apothem). Basic trigonometry is also needed.  Example uses a regular octagon. This was posted from Nutshellmath.com

D.  Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve problems involving measurements and rates.

Glencoe Online Study Tools, Mathematics: Applications and Concepts, Course 3, multiple choice practice:

• Ratios and Rates

• Solving Proportions

• Similar Polygons

• Indirect Measurement

• Scale Drawings and Models

Ratio, Proportion, Maps and Scale Drawings.  The multiple-choice questions are applicable for test prep on these concepts; answers provided.

Purplemath: Ratio and Proportions involving Conversion Factors, Similar Figures, and Parts

E.  Estimate and compute various attributes, including length, angle measure, area, surface area and volume, to a specified level of precision.

Mathguide.com:

• Area of Common Figures: rectangles, parallelograms, triangles, trapezoids, and circles.  Lesson and quizmasters.  Fill in and check answers.

• Volume and surface area for rectangular prisms, cylinders, square based pyramids, cones, spheres.  Note to Ohio learners: for spheres and cones, only find volume.  Quizmasters can be accessed from the main lesson page by scrolling down to Geometry: Three dimensional solids. Fill in and check answers.

CoolMath4Kids: Interior Angles in Polygons

Math Open Reference: Use virtual manipulatives to explore:

• Interior angles of regular and irregular polygons

• Exterior angles of polygons

Oswego City School District (NY), Regents Prep:

• Polygons-Interior and Exterior Angles from new Geometry section

• Volume and Surface Area of Solids and Cylinders from new Algebra section

Polygon Angle Applet: An interactive for you to draw a polygon and explore the sum it its interior angles.

Worsley School, Bill Willis: Sum of Exterior Angles of a Polygon, interactive demonstration

Port Angeles (WA), Geometry:

• High School Practice Problems in Geometry

• Grade 8 Practice Problems in Geometry

F.  Write and solve real-world, multi-step problems involving money, elapsed time and temperature, and verify reasonableness of solutions.

Port Angeles (WA), Measurement:

• High School Practice Problems in Measurement

• Grade 8 Practice Problems in Measurement

Reference:

Ohio Mathematics Academic Content Standards. Available: http://www.ode.state.oh.us/GD/Templates/Pages/ODE/ODEDetail.aspx?page=3&TopicRelationID=333&Content=13794 

Back to top

See other strand resources:

[ Number, Number Sense, and Operations ] [ Measurement ] [ Geometry and Spatial Sense ] [ Patterns, Functions, and Algebra ] [ Data Analysis and Probability ]