Ck-12.org's Fifth grade math textbook (10 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 TRIANGLE EXPONENT PRISM
ADDITION (DECIMAL) FOOT (MEASUREMENT)PRISM (VOLUME)
ADDITION (FRACTION) ISOSCELES TRIANGLE PROBLEM SOLVING
BASE (EXPONENT) LCD (FRACTION) PYRAMID
BASE (POLYHEDRON) LCM (WHOLE NUMBERS)QUADRILATERAL
CALCULATOR LCM (FRACTION)RECTANGLE
CAPACITY (VOLUME)METRIC UNITS RECTANGULAR PRISM
COMMON FRACTION MULT. PROPERTIES REMAINDER (DIVISION)
COMPOSITE NUMBER MULTIPLICATION (DECIMAL) RIGHT TRIANGLE
CONE MULTIPLICATION (FRACTION) SCALENE TRIANGLE
COORDINATE MULTIPLICATION (WHOLE) SIMPLEST FORM
CUBE NATURAL NUMBER SPHERE
CYLINDER ORDER OF OPERATIONS SQUARE
DECIMAL ORDERED PAIR (COORDINATE SYSTEM)SUBTRACTION (DECIMAL)
DECIMAL NOTATION ORIGIN TIME
DISTRIBUTIVE (WHOLE) PARALLELOGRAM TRAPEZOID
DIVISION (DECIMAL) PLACE VALUE (NUMBERS)UNKNOWN
DIVISION (WHOLE) PLACE VALUE (DECIMAL) VARIABLE
DIVISION BY TEN POLYGON VERTICES (SOLIDS)
EQUILATERAL TRIANGLEPOLYHEDRON VOLUME
EQUIVALENT DECIMAL POWER WEIGHT
ESTIMATION (DECIMAL POWERS OF TEN
EXPANDED FORM PRIME NUMBER
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.
ARRAY (MULT.) (WHOLE) FACTOR NUMBER LINE (FRACTION)
ASSOCIATIVE (ADD.) (WHOLE)FACTOR (WHOLE) NUMBER SENTENCE
AXES FACTOR TREE NUMERATOR
BAR GRAPH FRACTION ORDERING
CENTIMETER FRACTION TO DECIMAL ORDERING DECIMALS
COLLECTING FREQUENCY TABLE PROPERTIES (FRACTION)
COMMUTATIVE (ADD.) GRAPH PROTRACTOR
DEGREE (ANGLE) GRAPHING RENAMING (FRACTION)
DEGREE NOTATION IDENTITY (ADDITION) ROUNDING DECIMALS
DENOMINATOR IDENTITY (MULT.) SEQUENCE
DIVISION (FRACTION) INCH SUBTRACTION (FRACTION)
DIVISION WITH DISTRIBUTION KILOMETER SYMBOLS FOR DIVSION
DIVISOR, QUOTIENT LENGTH SYMBOLS OF GROUPING
EQUATION LIQUID MEASURE TENTHS, HUNDREDTHS
EQUIVALENT FRACTIONS LOCATING POINTS THOUSANDTHS
ESTIMATING PRODUCTS MEASUREMENT THREE DIMENSION
ESTIMATING QUOTIENTS MEASUREMENT (ANGLE) TRIANGLE
EXPANDED FORM (DECIMAL) MULT. AND DIVISION WHOLE NUMBER
FACE (POLYHEDRON) MULTIPLE
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.
APPLICATIONS (FRACTION) INEQUALITY (FRACTION) UNIT VOLUME
COORDINATE SYSTEM MIXED NUMERAL (FRACTION)WORD PROBLEM (DECIMAL)
ENGLISH UNITS MULT. BY GROUPING WORD PROBLEM (FRACTION)
GCF (WHOLE NUMBERS)RELATION TO DIVISION (FRACTION) WORD PROBLEMS (WHOLE)
INEQUALITY (DECIMAL) UNIT AREA
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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