Your Algebra Homework Can Now Be Easier Than Ever!

Number and Operations

Overview

The purpose of these resource materials is to provide K – 8 educators with explanations
and examples that facilitate understanding of the mathematics in the Grade-Level
Expectations (GLEs)*. These resource materials are organized by content strand and by
GLE “stems.” The definitions and explanations within each section are not alphabetized,
but are organized to parallel the introduction of new concepts and skills within each GLE
stem” across grades. The materials contained in this document focus on the Number
and Operation strand and only address the NECAP GLEs that are common to all three
states.

Grade 3

Grade 4
M(N&O)–3–3 Demonstrates conceptual understanding
of mathematical operations
by describing or illustrating
the inverse relationship between addition and subtraction of
whole numbers; and the relationship between repeated
addition and multiplication using models , number lines, and
explanations.
 
    M(N&O)–4–3 Demonstrates conceptual understanding of
mathematical operations
by describing or illustrating the
relationship between repeated subtraction and division (no
remainders); the inverse relationship between multiplication
and division of whole numbers; or the addition and subtraction
of positive fractional numbers with like denominators using
models, number lines , or explanations.

To facilitate access, each definition is coded (e.g., N&O – 4, the 4th definition for the
Number and Operations strand). There are multiple tables of contents: 1) An overall table
of contents on page 3 contains all the terms or phrases defined for the content strand in
alphabetical order ; and 2) A table of contents for each section in alphabetical order. In
addition, if there is a word or phrase that you are unclear about within a definition, check
the overall table of contents to determine if the word or phrase is defined in another
location in this document.

Section #

 

Grade-Level Expectation “Stem”

 

NECAP GLE Stem Codes
(Vermont codes)

X represents grades K– 8
Page
Numbers
 
Section 1
 
Demonstrates understanding of rational
numbers…
NECAP: M(N&O) – X – 1
(Vermont GE MX: 1)
4 – 18
 
Section 2
 
Demonstrates conceptual understanding of
the magnitude of numbers…
NECAP: M(N&O) – X – 2
(Vermont GE MX: 2)
19 – 25
 
Section 3
 
Demonstrates understandings of
mathematical operations…
NECAP: M(N&O) – X – 3
(Vermont GE MX: 3)
26 – 29
 
Section 4
 
Accurately solves problems involving…
 
NECAP: M(N&O) – X – 4
(Vermont GE MX: 4)
30 – 36
 

Note: Examples are provided throughout this document to illustrate definitions or phrases
used in the mathematics GLEs. However, the kinds of questions students might be asked
in instruction or on the NECAP assessment about the mathematics being illustrated are
NOT necessarily limited to the specific examples given. It is the intent, over time, to add
released NECAP items to expand the set of examples.

Please send comments, corrections.

* Grade-Level Expectations are called Grade Expectations (GEs) in Vermont.

Table of Contents

Definition
 
Section Number
 
Page Number
 
Definition
Number
Absolute value 2 21 N&O – 23
Accurately solves problems 4 31 N&O – 35
Across number formats 2 21 N&O – 22
Area model to represent part to whole relationshipx 1 13 N&O – 17
Comparing 2 24 N&O – 27
Composite number 4 35 N&O – 41
Composition of numbers 1 12 N&O – 15
Concept of multiplication 4 33 N&O – 37
Decimal 1 7 N&O – 7
Decomposition of numbers 1 12 N&O – 16
Describing or illustrating the meaning of a power 3 28 N&O – 33
Effect on magnitude of a whole number when multiplying or
dividing by a whole number, fraction, or decimal
3 29 N&O – 34
Equivalent numbers 1 12 N&O – 14
Expanded notation 1 12 N&O – 13
Factor 4 33 N&O – 38
Fraction 1 5 N&O – 3
Greatest common factor ( GCF ) 4 35 N&O – 42
Improper fraction 1 7 N&O – 5
In and out of context 4 32 N&O – 36
Integer 1 8 N&O – 9
Inverse relationships in operations 3 27 N&O – 29
Irrational number 1 8 N&O – 10
Least common multiple ( LCM ) 4 36 N&O – 43
Linear model 1 18 N&O – 19
Meaning of remainders with respect to division of whole
numbers
3 28 N&O – 32
Mixed number 1 7 N&O – 6
Multiples 4 34 N&O – 39
Number line 2 24 N&O – 28
Ordering 2 23 N&O – 26
Percent 1 7 N&O – 8
Prime numbers 4 35 N&O – 40
Proper fraction 1 6 N&O – 4
Proportional reasoning 4 36 N&O – 44
Ratio 1 10 N&O – 12
Rational number 1 5 N&O – 1
Real numbers 1 9 N&O –11
Relationship between repeated addition and multiplication of
whole numbers
3 27 N&O – 30
Relationship between repeated subtraction and division of
whole numbers
3 27 N&O – 31
Relative magnitude 2 20 N&O – 20
Scientific notation 2 23 N&O – 25
Set model 1 17 N&O – 18
Whole number 1 5 N&O – 2
Whole number bases and whole number exponents , and
fractional bases with whole number exponents
2 22 N&O – 24
Within number formats 2 21 N&O – 21
Prev Next

Start solving your Algebra Problems in next 5 minutes!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:


OR

2Checkout.com is an authorized reseller
of goods provided by Sofmath

Attention: We are currently running a special promotional offer for Algebra-Answer.com visitors -- if you order Algebra Helper by midnight of November 21st you will pay only $39.99 instead of our regular price of $74.99 -- this is $35 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

If you order now you will also receive 30 minute live session from tutor.com for a 1$!

You Will Learn Algebra Better - Guaranteed!

Just take a look how incredibly simple Algebra Helper is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:

Step 2 : Let Algebra Helper solve it:

Step 3 : Ask for an explanation for the steps you don't understand:



Algebra Helper can solve problems in all the following areas:

  • simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
  • factoring and expanding expressions
  • finding LCM and GCF
  • (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
  • basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)

ORDER NOW!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:


OR

2Checkout.com is an authorized reseller
of goods provided by Sofmath
Check out our demo!
 
"It really helped me with my homework.  I was stuck on some problems and your software walked me step by step through the process..."
C. Sievert, KY
 
 
Sofmath
19179 Blanco #105-234
San Antonio, TX 78258
Phone: (512) 788-5675
Fax: (512) 519-1805
 

Home   : :   Features   : :   Demo   : :   FAQ   : :   Order

Copyright © 2004-2024, Algebra-Answer.Com.  All rights reserved.