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

Number, Number Sense and Operations (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 ]

How shall we interpret Number?

Benchmarks for Number, Number Sense, and Operations

NOTE: As a general resource for all Number Sense and Operations strand benchmarks, students might consult the following resource:

• Algebra from Oswego City School District (NY) Regents Exam Prep Center.  Each sub-section includes lessons and interactive practice exercises.  See problems in number theory and operations. There is also a pre-algebra review of rational/irrational numbers, order of operations, and signed numbers. 

A.  Use scientific notation to express large numbers and numbers less than one.  

AlgebraLab.org: Scientific Notation Introduction and practice exercises converting to scientific notation and decimal notation from the scientific form.

 

Scientific Notation and why we need it Contains JAVA labs on working with large numbers found in science.

Oswego City School District (NY), Regents Prep, Online practice with answers:

• Math A Level:  Converting large and small numbers to and from scientific notation

• new Algebra section: Scientific Notation

Math and Science Activity Center from Edinformatics.com:  Scientific Notation Problem Generator.  Randomly generated problems in either scientific notation or standard notation representation of a number will be shown.  Fill in the blanks, then check answer. 

 

Mercer County Community College, Debbie Kell, multiple choice practice: Converting between standard and scientific notation, performing operations, significant digits, applications

 

QuickMath.com: Scientific Notation.  Enter your number and see detailed explanation of a conversion.

 

B.  Identify subsets of the real number system.

Edmonton Public Schools (CA), Jim Reed, Math 9 is the general resource for grade 9.  See Number Systems: Demonstration of the subsets of the real number system, then test your understanding with the interactive Number System Muncher.

 

Oswego City School District (NY) Intermediate Test Prep Center Math 7; Interactive, Lesson and Practice:

• Distinguish Subsets of Real Number System

• Recognize the difference between rational and irrational numbers

Oswego City School District (NY), Regents Prep, new Algebra section: Rational and Irrational Numbers --a review topic from pre-algebra.

 

Math Forum, Dr. Math FAQ: Integers, Rational, and Irrational Numbers 

 

Play video at PilotMath.com for Real Numbers:

• Pilot Math Number Systems and Variables   Cartoon format with students.  Uses Venn diagrams to illustrate the subsets of the real number system.

C.  Apply properties of operations and the real number system, and justify when they hold for a set of numbers.

Maths Online Interactive Test: Number Sets (multiple choice with more than one answer).

West Texas A&M University, Intermediate Algebra Tutorials: Operations on Real Numbers, practice with answers, and additional related links

Oswego City School District (NY), Regents Prep, new Algebra section: Properties of Real Numbers

Play videos at YouTube.com for Real Numbers:

• Fundamental Definitions and Notations: Focus on order of operations

• Arithmetic of Real Numbers.  Using six problems, the presenter reviews addition/subtraction of integers, order of operations, distributive property, combining like terms.

D.  Connect physical, verbal and symbolic representations of integers, rational numbers and irrational numbers.  

Math Forum, Dr. Math FAQ: Rational Numbers, and Irrational Numbers

The Math Page, Real Numbers:

• Rational Numbers

• Irrational Numbers

E.  Compare, order and determine equivalent forms of real numbers.

Math Forum, Dr. Math FAQ: Explanation for converting fractions, decimals, and percents

AAA Math: Comparing and equivalent forms (rational numbers) with online practice

Glencoe Online Study Tools, Pre-Algebra, multiple choice practice:  Rational numbers (equivalent forms and subsets)

F.  Explain the effects of operations on the magnitude of quantities.

Oswego City School District (NY), Regents Prep: Practice with Volumes of Similar Solids, Magnitude

G.  Estimate, compute and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions.

Algebra Help: Proportion Basics

AlgebraLab.org:

• Rates and Ratios study aids and practice problems.

• Word Problem Exercises using simple proportions to solve five problems with real-life scenarios. Fill in the blank.

The Math Page, Skill in Arithmetic: Percent increase or decrease problems with answers 

 

Mercer County Community College, Debbie Kell: Proportions interactive multiple choice quiz with rate, ratio, proportions, problem solving 

 

Glencoe Online Study Tools, Algebra I, 2005, multiple choice practice:

• Ratios and Proportions

• Percent of Change

Oswego City School District (NY), Regents Prep: Percent 

 

Shodor.org: Percents

H.  Find the square root of perfect squares, and approximate the square root of non-perfect squares.

How to calculate a square root without a calculator

 

Glencoe Online Study Tools, Algebra I, 2005, multiple choice practice: Square Roots and Real Numbers

 

Algebrahelp.com: Perfect Squares Chart

I.  Estimate, compute and solve problems involving scientific notation, square roots and numbers with integer exponents.

Institute for Energy and Environmental Research: Scientific Notation Review and Practice Worksheet with answers

 

University of Oregon, Davison Soper: Scientific Arithmetic, explanation and multiple choice practice

 

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

 

Glencoe Online Study Tools, Algebra I, 2005, multiple choice practice: Compute with Scientific Notation

 

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

• Operations with Radicals

• Exponents

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 

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See other strand resources:

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