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Standardized Test Preparation and
Tips for Success

Preparing Your Students for the
Ohio Graduation Test in Mathematics

Strand Resources:
Measurement

 

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CT4ME has identified resources related to each benchmark of the Ohio Mathematics Academic Content Standards that students should have mastered by the end of the grades 8-10 program. 

Identify the benchmark (A-F) for review in Measurement.  Below the benchmark, you will find Web resources for reviewing the concept and practice problems.

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.

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

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

Binoculars GifOther strand resources:

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

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What is Measurement?

 

Measurement--assigning numbers to something according to a rule

 

Benchmarks in Measurement

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

Oswego City School District (NY), Regents Prep, Algebra section:

Port Angeles (WA), Measurement:

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

ScienceSpot.net worksheets with answers:

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

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

Play video 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.

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

Play video 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:

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:

Oswego City School District (NY), Regents Prep:

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:

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

Port Angeles (WA), Measurement:

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Are you ready for the test?

Don't forget to review and complete the Six Steps for Success, including the full online practice tests.

Complete:  Measurement and Geometry Strand Questions using California's High School Exit Examination (CAHSEE) released questions.

Reference

Ohio Mathematics Academic Content Standards. Available: http://www.ode.state.oh.us/GD/Templates/Pages/ODE/ODEPrimary.aspx?page=2&TopicID=1696&TopicRelationID=1704

 

Back to top

 

Binoculars GifSee other strand resources:

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

Binoculars GifSee related pages: [ Standardized Test Preparation and Tips for Success (first  page)]  [ OGT Introduction ]