Ck-12.org's Fourth grade math textbook (9 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.
ACUTE ANGLE FORMULA PROTRACTOR
ACUTE TRIANGLE FRACTION QUADRILATERAL
ADDITION (FRACTION) IDENTITY (ADDITION) RAY
ANGLE IDENTITY (MULT.) RECTANGLE
AREA INTERSECTING LINES RECTANGLE (AREA)
ASSOCIATIVE (ADD.) ISOSCELES TRIANGLE REMAINDER
CAPACITY LCM RHOMBUS
COMMUTATIVE (ADD.) LINE RIGHT ANGLE
COMPOSITE NUMBER LINE SEGMENT RIGHT TRIANGLE
DECIMAL MEASUREMENT (ANGLE) ROUNDING
DECIMAL NOTATION METRIC UNITS SCALENE TRIANGLE
DEGREE (ANGLE) MULT. PROPERTIES SEQUENCE
DEGREE NOTATION MULTIPLE SIMPLEST FORM (FRACTION)
DENOMINATOR MULTIPLICATION (WHOLE) SQUARE
DISTRIBUTIVE (WHOLE) NAMING AN ANGLE SQUARE (AREA)
DIVISIBILITY NUMERATOR SUBTRACTION (DECIMAL)
DIVISION (WHOLE) OBTUSE ANGLE SUBTRACTION (FRACTION)
DIVISION BY TEN ORDER OF OPERATIONS TIME
DIVISION BY ZERO PARALLEL LINES TRAPEZOID
EQUATION PARALLELOGRAM TRIANGLE
EQUILATERAL TRIANGLEPERIMETER UNKNOWN
EQUIVALENT FRACTIONS PERPENDICULAR LINES VARIABLE
ESTIMATING PRODUCTS PLACE VALUE VERTEX (ANGLE)
ESTIMATING QUOTIENTS POINT WEIGHT
EXPANDED FORM PRIME NUMBER
FACTOR (WHOLE) PROBLEM SOLVING
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 BY REGROUPING KILOMETER ORDERING (NUMBERS)
ADDITION (DECIMAL) LIQUID MEASURE PLACE VALUE (DECIMAL)
ADDITION (WHOLE) MEASUREMENT RENAMING (FRACTION)
ARRAY (MULT.) (WHOLE) MEASUREMENT (LENGTH REPEATED SUBTRACTION
CENTIMETER MENTAL ARITHMETIC RULER
COLLECTING INFORMATIONMONEY SYMBOLS FOR ADDITION
DIVISION WITH DISTRIBUTION MULT. AND DIVISION SYMBOLS FOR DIVSION
DIVISOR, QUOTIENT MULTIPLES OF TEN SYMBOLS FOR MULTIPLICATION
ESTIMATING SUMS MULTIPLICATION (FRACTION) SYMBOLS OF GROUPING
FREQUENCY TABLE NUMBER LINE (NUMBERS)TENTHS HUNDREDTHS
INCH NUMBER SENTENCE WHOLE NUMBER
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 A synonym may also be used because these historical terms may have been replaced by a new vocabulary (k-12math.info's list of 1,000 terms has not changed in 40 years).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.
APPROXIMATION INEQUALITY (DECIMAL) PIE APPROACH (FRACTIONS)
CONGRUENT PARTS (FRACTION) INEQUALITY (FRACTION) UNIT AREA
DIVISION COMBINATIONS MULT. BY GROUPING WORD PROBLEM (FRACTION)
ENGLISH UNITS PERIMETER (QUADRILATERAL) WORD PROBLEMS (WHOLE NUMBER)
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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