Topic: Basic and linear measures 
Mathematics 
 Standard 4. Understands and applies basic and advanced properties of the concepts of measurement 
  Level PreK (Grade PreK) 
   Benchmark 1.  Understands basic concepts of time (e.g., today, tomorrow, morning, evening) and the sequence of various events (e.g., what comes after lunch) 
    Knowledge/skill statements 
     1.  Understands basic concepts of time 
     2.  Understands the concept of today 
     3.  Understands the concept of tomorrow 
     4.  Understands the concept of morning 
     5.  Understands the concept of evening 
     6.  Knows the sequence of various daily events 
   Benchmark 2.  Measures objects with nonstandard tools (e.g., string, hands, footsteps, unifix cubes, tiles) 
    Knowledge/skill statements 
     1.  Measures objects with nonstandard tools 
     2.  Measures objects using string 
     3.  Measures objects using their hands 
     4.  Measures objects using footsteps 
     5.  Measures objects using unifix cubes 
     6.  Measures objects using tiles 
   Benchmark 4.  Orders objects qualitatively by measurable attribute (e.g., smallest to largest, lightest to heaviest, shortest to longest) 
    Knowledge/skill statements 
     1.  Orders objects from smallest to largest 
     2.  Orders objects from lightest to heaviest 
     3.  Orders objects from shortest to longest 
     4.  Knows that objects can be put in order by measurable attributes 
   Benchmark 5.  Knows the common language of measurement (e.g., "big," "little," "long," "short," "light," "heavy") 
    Knowledge/skill statements 
     1.  Understands the term "big" 
     2.  Understands the term "little" 
     3.  Understands the term "long" 
     4.  Understands the term "short" 
     5.  Understands the term "light" 
     6.  Understands the term "heavy" 
  Level I (Grade K2) 
   Benchmark 1.  Understands the basic measures length, width, height, weight, and temperature 
    Knowledge/skill statements 
     1.  Understands the concept of length 
     2.  Understands the concept of temperature 
     3.  Understands the concept of weight 
     4.  Understands the concept of height 
     5.  Understands the concept of width 
   Benchmark 2.  Understands the concept of time and how it is measured 
    Knowledge/skill statements 
     1.  Understands the concept of measuring time 
     2.  Understands the features of a digital clock 
     3.  Understands the features of an analog clock 
     4.  Understands the concept of a second 
     5.  Understands the concept of a minute 
     6.  Understands the concept of an hour 
     7.  Understands the concept of a calendar 
     8.  Understands the concept of a day 
     9.  Understands the concept of a week 
     10.  Understands the concept of a month 
     11.  Understands the concept of a year 
     12.  Understands how to measure time 
   Benchmark 3.  Knows processes for telling time, counting money, and measuring length, weight, and temperature, using basic standard and nonstandard units 
    Knowledge/skill statements 
     1.  Measures weight using standard units 
     2.  Measures temperature using standard units 
     3.  Measures time using standard units 
     4.  Measures width using standard units 
     5.  Measures height using standard units 
     6.  Measures length using standard units 
     7.  Understands the concept of elapsed time 
     8.  Measures elapsed time 
     9.  Measures weight using nonstandard units 
     10.  Measures temperature using nonstandard units 
     11.  Measures time using nonstandard units 
     12.  Measures width using nonstandard units 
     13.  Measures height using nonstandard units 
     14.  Measures length using nonstandard units 
     15.  Counts money 
   Benchmark 4.  Makes quantitative estimates of familiar linear dimensions, weights, and time intervals and checks them against measurements 
    Knowledge/skill statements 
     1.  Estimates length 
     2.  Estimates temperature 
     3.  Estimates height 
     4.  Estimates width 
     5.  Estimates time intervals 
     6.  Estimates weight 
  Level II (Grade 35) 
   Benchmark 2.  Selects and uses appropriate tools for given measurement situations (e.g., rulers for length, measuring cups for capacity, protractors for angle) 
    Knowledge/skill statements 
     1.  Selects appropriate tools for given measurement situations 
     2.  Uses appropriate tools for given measurement situations 
     3.  Selects appropriate tool to measure temperature 
     4.  Uses a thermometer to measure temperature 
     5.  Selects appropriate tools to measure length 
     6.  Uses a ruler to measure length 
     7.  Selects appropriate tools to measure width 
     8.  Uses a ruler to measure width 
     9.  Selects appropriate tools to measure height 
     10.  Uses a ruler to measure height 
     11.  Selects appropriate tools to measure mass 
     12.  Uses a scale to measure mass 
     13.  Selects appropriate tools to measure capacity 
     14.  Uses measuring cups to measure capacity 
     15.  Selects appropriate tool to measure angles 
     16.  Uses a protractor to measure angles 
   Benchmark 4.  Understands relationships between measures (e.g., between length, perimeter, and area) 
    Knowledge/skill statements 
     1.  Understands the relationship between length and perimeter 
     2.  Understands the relationship between length and area 
     3.  Understands the relationship between perimeter and area 
  Level III (Grade 68) 
   Benchmark 3.  Understands the relationships among linear dimensions, area, and volume and the corresponding uses of units, square units, and cubic units of measure 
    Knowledge/skill statements 
     1.  Understands the concept of a square unit 
     2.  Understands the use of square units in measuring area 
     3.  Understands the concept of a cubic unit 
     4.  Understands use of cubic units in measuring volume 
     5.  Understands relationships between length, width, height and volume 
     6.  Understands relationships between length, width, and area 
   Benchmark 9.  Understands procedures for basic indirect measurements (e.g., using grids to estimate area of irregular figures) 
    Knowledge/skill statements 
     1.  Understands the concept of indirect measurement 
     2.  Understands the concept of grids 
     3.  Uses grids to estimate area 
  Level IV (Grade 912) 
   Benchmark 3.  Selects and uses an appropriate direct or indirect method of measurement in a given situation (e.g., uses properties of similar triangles to measure indirectly the height of an inaccessible object) 
    Knowledge/skill statements 
     1.  Uses the properties of triangles to measure the height of distant object 
     2.  Understands the concept of indirect measurement using computations 
Engineering Education 
 Standard 8. Uses tools, materials, and equipment associated with the building trades 
  Level IV (Grade 912) 
   Benchmark 3.  Uses measuring instruments such as a ruler, tape measure, chalk line, level, transit, square, volt meter, and ammeter

    Knowledge/skill statements 
     1.  Uses measuring instruments such as a ruler 
     2.  Uses measuring instruments such as a tape measure 
     3.  Uses measuring instruments such as a chalk line 
     6.  Uses measuring instruments such as a square 
 Standard 12. Understands the techniques, tools, and technologies related to the production of technical drawings 
  Level IV (Grade 912) 
   Benchmark 15.  Uses equipment required for drafting and design (e.g., Tsquare, protractor, ruler, drawing instrument, triangles, compass)

    Knowledge/skill statements 
     1.  Uses a Tsquare for drafting and design 
     2.  Uses a protractor for drafting and design 
     3.  Uses a ruler for drafting and design 
     4.  Uses drawing instruments for drafting and design 
     5.  Uses triangles for drafting and design 
     6.  Uses a compass for drafting and design 