Infants

A.  Relationships

1. Size and Quantity (single object)

a.  big - little

b.  long - short

1. tall – short
2. large – small
3. many – few
4. high – low
5. all – none
6. heavy – light
7. thick – thin
8.  

1. Position

a.   under - over

1. first – last
2. middle
3. high – low
4. far – near
5. bottom – top
6. above – below
7. in front of – behind – on top of
8. beside – by – next to
9. between
10. around
11. inside – outside
12. right – left

1. Comparison of Two or More Quantities

a.  younger(est) – older(est)

b.  fewer(est)

1. more(most) – less(least) – referring to sets
2. greater than – less than – referring to sets
3. larger(est) – shorter(est)
4. longer(est) – shorter(est)
5. straight – crooked
6. bigger(est) – littler(est)
7. heavier(est) – lighter(est)
8. taller(est) – shorter(est)
9. thicker(est – thinner(est)
10.  

1. Measurement

a.  Capacity

    1)  empty - full

     2)  pair

     3)  cupful

     4)  spoonful

     5)  pint

     6)  quart

     7)  liter

     8)  gallon

b.  Linear

     1)  ruler

     2)  yardstick

     3)  meterstick

c.  Temperature

      1)  hot - cold

      2)  thermometer

      3)  degree

d.  Weight

      1)  pound

      2)  ounces

      3)  grams

e.   Time

      1)  early - late

      2)  yesterday - tomorrow

      3)  today

      4)  morning - afternoon

      5)  noon - midnight

      6)  night - day

      7)  evening

      8)  minute

      9)  hour

     10)  week

     11)  month

     12)  year

     13)  fast - slow

f.  Money

     1)  penny

     2)  nickel

     3)  dime

     4)  quarter

     5)  buy - sell

     6)  spend - save

     7)  pay

     8)  cost

Awareness of Similarities and Differences (sorting activities according to)

1. categories – animals, boys, girls, etc.
2.   position – first, second, third
3. shape
4. size
5. color
6. thickness

6.  Geometric Figures and Shapes (sorting activities with and recognition of)

1. square
2. rectangle
3. circle
4. triangle
5. cube
6. sphere (globe)
7. cylinder
8. prism
9. open and closed curve

7.   Patterns

1. discovering a pattern in a given arrangement of objects using the attributes of color, shape, size and thickness

1)  one attribute

2)  two attributes

3)  three attributes

1. extending incomplete patterns
2. creating patterns

B.  Concept Cluster-Sets

 Elementary Concepts of Sets

1. recognizing a set as a collection of distinguishable objects
2. demonstrating one-to-one correspondence between elements of two disjoint sets
3. recognizing one-to-one correspondence between elements of two disjoint sets
4. using one-to-one correspondence to show two sets are equivalent
5. recognizing equivalent sets
6. recognizing non-equivalent sets
7. comparing two or more disjoint sets by visual inspection
8. constructing disjoint sets which model the same cardinal number
9. constructing disjoint sets which contain one element more or (less) than the given set
10. matching numeral with the number of elements in a given set
11. identifying the empty set
12. recognizing a subset of a given set
13. recognizing union of two disjoint sets
14. modeling union of two disjoint sets
15. recognizing set separation
16. modeling set separation

More Advanced Concepts of Sets

1. recognizing two overlapping sets
2. recognizing intersection of sets
3. recognizing the distinction between finite and infinite sets
4. knowing the meaning of replacement set
5. knowing the meaning of solution set
6. describing the universal set
7. interpreting Venn diagrams
8. constructing Venn diagrams
9. recognizing the complement of sets