Are you confused by terms that educators use? The ASCD Lexicon of Learning might be what you need.
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-I) for review in Number, Number Sense, and Operations. 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
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 ] [ Mathematical Processes ]
Here's a bit of history for you!
Imagine writing your numbers with seven different symbols: a single stroke, a hobble for cattle, a coil of rope, a lotus plant, a finger, a tadpole or frog, or a god with his arms raised above his head. Read more on this topic from Mark Millmore and explore doing a few problems with Egyptian Math.
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.
West Texas A&M University Virtual Math Lab College Algebra Tutorial: Scientific Notation: How to write numbers in scientific notation, perform multiplication and division with video explanations and practice problems.
Oswego City School District (NY), Regents Prep, 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:
Oswego City School District (NY), Regents Prep, 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).
Purple Math: Order of Operations (PEMDAS) Lesson with worked examples.
Math.com: Order of Operations with more than one operation. Lesson, worked examples, and practice problems.
Oswego City School District (NY), Regents Prep, Algebra section: Order of Operations and Evaluating Expressions practice problems.
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, Algebra section: Properties of 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:
Oswego City School District (NY), Regents Prep, Algebra section: Rational and Irrational Numbers, including approximations of irrational numbers. Lesson and practice problems.
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.
NCTM Principles and Standards for School Mathematics E-examples: Learning about Length, Perimeter, Area, and Volume of Similar Objects by Using Interactive Figures:
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, Pre-Algebra, multiple choice practice:
Glencoe Online Study Tools, Algebra I, 2005, multiple choice practice:
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, Algebra section:
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: Number Sense Strand Questions using California's High School Exit Examination (CAHSEE) released questions.
Ohio Mathematics Academic Content Standards. Available: http://www.ode.state.oh.us/GD/Templates/Pages/ODE/ODEPrimary.aspx?page=2&TopicID=1696&TopicRelationID=1704
See
other strand resources:
[ Number, Number Sense, and Operations ] [ Measurement ] [ Geometry and Spatial Sense ] [ Patterns, Functions, and Algebra ] [ Data Analysis and Probability ] [ Mathematical Processes ]
See
related pages: [ Standardized Test
Preparation and Tips for Success (first page)] [ OGT Introduction ]
Comments?
Are you finding resources at CT4ME of value?
Contact Dr. Patricia Deubel: deubelp@neo.rr.com
Last revised 07/28/10
CT4ME Author: Dr. Patricia Deubel
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