Hierarchical graphic organizer
- 1. Hierarchical Graphic Organizer Category Subcategory Subcategory Subcategory List examples of each type
- 2. Graphic Organizer – example Algebra Equations Inequalities 2x + 3 = 15 10y = 100 4x = 10x - 6 14 < 3x + 7 2x > y 6y ≥ 15
- 3. Category What is it? Illustration/Example What are some examples? Properties/Attributes What is it like? Subcategory Irregular set Compare and Contrast
- 4. 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
- 5. Comparing and Contrasting Double Bubble Map
- 6. Compare and contrast Double bubble map . Here there is a student answer Make a double bubble map and compare the two equations and
- 7. 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
- 9. Multiple Meanings – example TRI- ANGLES Right Equiangular Acute Obtuse 3 sides 3 angles 1 angle > 90 ° 3 sides 3 angles 1 angle = 90 ° 3 sides 3 angles 3 angles < 90 ° 3 sides 3 angles 3 angles = 60 °
- 10. Four-Square Graphic Organizer 1. Word: 2. Example: 3. Non-example: 4. Definition
- 11. Four-Square Graphic Organizer – example 1. Word: semicircle 2. Example: 3. Non-example: 4. Definition A semicircle is half of a circle.
- 12. Venn Diagram
- 13. Quadrilateral Trapezoid Parallelogram Rhombus Square Rectangle
- 14. Flow maps
- 15. Student Example
- 16. Matching Activity Divide into groups Match the problem sets with the appropriate graphic organizer
- 17. Matching Activity Which graphic organizer would be most suitable for showing these relationships? Why did you choose this type? Are there alternative choices?
- 18. Problem Set 1 Parallelogram Rhombus Square Quadrilateral Polygon Kite Irregular polygon Trapezoid Isosceles Trapezoid Rectangle
- 19. 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
- 20. Problem Set 3 Addition Multiplication a + b a times b a plus b a x b sum of a and b a(b) ab Subtraction Division a – b a/b a minus b a divided by b a less b b) a
- 21. Problem Set 4 Use 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.
- 22. Possible Solution to PS #1 POLYGON Parallelogram: has 2 pairs of parallel sides Kite Square, rectangle, rhombus Kite: has 0 sets of parallel sides Irregular: 4 sides w/irregular shape Quadrilateral Trapezoid: has 1 set of parallel sides Trapezoid, isosceles trapezoid
- 23. Possible Solution to PS #2 REAL NUMBERS Integers Whole Numbers Rational Numbers Irrational Numbers Counting Numbers
- 24. Possible Solution PS #3 Operations Subtraction Multiplication Division 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______
- 25. Possible Solution to PS #4 Numbers Operations Rules Symbols Geometric Figures Mathematics Triangle Quadrilateral Hexagon Integer Prime Rational Irrational Whole Composite Addition Subtraction Multiplication Division Corollary Postulate m ║n √ 4 {1,2,3…}