hierarchical graphic organizer
TRANSCRIPT
Hierarchical Graphic Organizer
Category
Subcategory Subcategory Subcategory
List examples of each type
Graphic Organizer – example
Algebra
Equations Inequalities
2x +
3 =
15
10y
= 10
04x
= 1
0x -
6
14 < 3x + 7
2x > y
6y ≥ 15
Category
What is it?Illustration/Example
What are some examples?
Properties/Attributes
What is it like?
Subcategory
Irregular set
Compare and Contrast
Positive Integers
Numbers
What is it?Illustration/Example
What are some examples?
Properties/Attributes
What is it like?
Fractions
Compare and Contrast - example
Whole Numbers Negative Integers
Zero
-3, -8, -4000
6, 17, 25, 100
0
Comparing and Contrasting
• Double Bubble Map
Compare and contrast Double bubble map.
Here there is a student answer
Make a double bubble map and compare the two equations and x
ky
2x
ky
Square Rectangle
Must have parallel lines
Straight
lines
Plane
Figure
Right angle
All around
One set of
Parallel lines
Longer than the other
4 Equal
Sides
Make a double bubble map and compare a Square and a Rectangle
Multiple Meanings
Multiple Meanings – example
TRI-ANGLES
Right Equiangular
Acute Obtuse
3 sides
3 angles
1 angle = 90°
3 sides
3 angles
3 angles < 90°
3 sides
3 angles
3 angles = 60°
3 sides
3 angles
1 angle > 90°
Four-Square Graphic Organizer
1. Word: 2. Example:
3. Non-example:4. Definition
Four-Square Graphic Organizer – example
1. Word: semicircle 2. Example:
3. Non-example:4. Definition
A semicircle is half of a circle.
Venn Diagram
Quadrilateral
Trapezoid
Parallelogram
RhombusSquare
Rectangle
Flow maps
Student Example
Matching Activity
• Divide into groups
• Match the problem sets with the appropriate graphic organizer
Matching Activity
• Which graphic organizer would be most suitable for showing these relationships?
• Why did you choose this type?
• Are there alternative choices?
Problem Set 1
Parallelogram Rhombus
Square Quadrilateral
Polygon Kite
Irregular polygon Trapezoid
Isosceles Trapezoid Rectangle
Problem Set 2
Counting Numbers: 1, 2, 3, 4, 5, 6, . . .
Whole Numbers: 0, 1, 2, 3, 4, . . .
Integers: . . . -3, -2, -1, 0, 1, 2, 3, 4. . .
Rationals: 0, …1/10, …1/5, …1/4, ... 33, …1/2, …1
Reals: all numbers
Irrationals: π, non-repeating decimal
Problem Set 3Addition Multiplication a + b a times b a plus b a x b sum of a and b a(b)
ab
Subtraction Divisiona – b a/ba minus b a divided by ba less b b) a
Problem Set 4Use the following words to organize into categories and subcategories of
Mathematics:NUMBERS, OPERATIONS, Postulates, RULE, Triangles, GEOMETRIC FIGURES, SYMBOLS, corollaries, squares, rational, prime, Integers, addition, hexagon, irrational, {1, 2, 3…}, multiplication, composite, m || n, whole, quadrilateral, subtraction, division.
Possible Solution to PS #1
POLYGON
Parallelogram:has 2 pairs ofparallel sides
Kite
Square, rectangle,rhombus
Kite: has 0 sets ofparallel sides
Irregular: 4 sidesw/irregular shape
Quadrilateral Trapezoid: has 1 set of parallel
sides
Trapezoid, isosceles trapezoid
Possible Solution to PS #2
REAL NUMBERS
Possible Solution PS #3
Operations
Subtraction
MultiplicationDivision
Addition
____a + b____
___a plus b___
Sum of a and b
____a - b_____
__a minus b___
___a less b____
____a / b_____
_a divided by b_
_____a b_____
___a times b_______a x b__________a(b)__________ab______
Possible Solution to PS #4
Numbers Operations Rules Symbols
GeometricFigures
Mathematics
Triangle
Quadrilateral
HexagonInteger
Prime
Rational
Irrational
Whole
Composite
Addition
Subtraction
Multiplication
Division
Corollary
Postulate m║n
√4
{1,2,3…}