Ck-12.org's Third grade math textbook (8 year old) - a view by k-12math.info
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The following terms are developed and/or defined in this grade level's materials.
ADD BY REGROUPING (WHOLE NUMBER)FREQUENCY TABLE PROBLEM SOLVING
ADDITION (FRACTION) HEXAGON QUADRILATERAL
ANGLE IDENTITY (ADDITION) RAY
AREA IDENTITY (MULT.) RECTANGLE
ARRAY (MULT.) (WHOLE) INEQUALITY SIGN RECTANGLE (AREA)
ASSOCIATIVE (ADDITION) LINE RHOMBUS
BAR GRAPH LINE SEGMENT RIGHT ANGLE
COMMUTATIVE (ADDITION) NUMERATOR RIGHT TRIANGLE
DENOMINATOR ORDER OF OPERATIONS ROUNDING
DISTRIBUTIVE (WHOLE) PARALLEL LINES SQUARE
DIVISION (WHOLE) PENTAGON SYMBOLS FOR MULTIPLICATION.
DIVISOR, QUOTIENT PERIMETER TIME
EQUATION PERPENDICULAR LINES TRAPEZOID
EQUIVALENT FRACTIONS PICTOGRAPH VARIABLE
ESTIMATING SUMS PLACE VALUE VERTEX (ANGLE)
EVEN AND ODD NUMBER POINT
FACTOR (WHOLE) POLYGON
The following terms appear in this grade level's materials. At this grade level the terms are used in the lesson proper in examples or illustrations. The purpose here is to reinforce understanding of the terms.
ADD AND SUBTRACTION RELATIONMEASUREMENT (LENGTH REPEATED SUBT.
ADDEND (WHOLE) MULT. AND DIVISION RELATIONRULER
ADDITION (WHOLE) MULT. PROPERTIES SET
COLLECTING MULTIPLES OF TEN SHAPE
CURVE MULTIPLICATION (WHOLE) SUBTRACTION
DIVISION BY ZERO NUMBER LINE SYMBOLS FOR ADDITION
DIVISION WITH NUMBER LINE NUMBER LINE (FRACTION) SYMBOLS FOR DIVSION
FRACTION NUMBER SENTENCE TRIANGLE
INCH ORDERING (NUMBERS)TRUE AND FALSE
INTERPRETATION ORDINAL NUMBER UNKNOWN
INTERSECTING LINES REMAINDER WHOLE NUMBER
MEASUREMENT REPEATED ADDITION WRITING NUMBERS
A synonym of the following terms are used. The synonym helps to bridge the learner's non mathematical experiences to mathematics terms that will more formally be worked on. A synonym may also be used because these historical terms may have been replaced by a new vocabulary (k-12math.info's list of 1,000 terms has not changed in 40 years). Wiktionary dictonary may help here.
ADD. COMBINATIONS (WHOLE) INEQUALITY (FRACTION) SYMBOLS OF GROUPING
ALGEBRAIC EXPRESSIONSMULT. COMBINATIONS THREE ADDENDS
CONGRUENT PARTS (FRACTION) MULTIPLES OF TWO WORD PROBLEMS (WHOLE)
DIVISION COMBINATIONS PERIMETER (QUADRILATERAL)
INEQUALITY (NUMBERS)PIE APPROACH (FRACTION)
K-12math.info selected the content that appears here. All terms appear in the lesson proper. The selection process is based upon a content analysis of 2013 to advance copies of 2015 student mathematics textbook series. Series that base their content on 2010 and/or 2012 standards. The analysis also included content that was felt would be needed for the transistion to CK-12 existing textbook series.

Editor's Note: This is a very basic outline of the content and how they are to be developed in the lesson proper. These terms need to be used in examples, illustrations, class activities and homework to help further understand them.


Resources:
Learners age 5 to 11 Grades K through 6 (from Wikieducator's "Come fly with me..." project).
Key points in Writing a textbook. (Especially step 7)
Teaching OER Mathematics.
Learning design a Wikieducator.org project.


Additional observations made while collecting information for this site on unit development in a textbook:
  1. One type has a chapter unit divided into 3 parts:
    Part 1 has a written explanation of the concept being developed (or defined).
    Part 2 has examples and illustrations of the concept.
    Part 3 classroom and/or homework activities.

  2. Another approach consists of 2 parts:
    Part 1: the concept being developed (or defined) is being used in several carefully designed examples and illustrations.
    Part 2: classroom and/or homework activities.

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