!Geometry

Ronan Downes, 21 iul. 2020

Geometry-MrDownes

Conţinut

  1. Incoming
    1. Constructing Quadrilaterals by Four Sides (2014)
    2. रेषाखंडाची एकरुपता
    3. What are the characteristics of squares and rectangles?
    4. Similar Figures - Assessment for Learning
    5. Where is the Treasure?
    6. Daisy Construction
    7. The yellow submarine
    8. Triangle area
    9. IST: Quick Discovery (Revamped)
    10. The shoemaker's knife problem
    11. LZ 6.7.11.2 Plotting Polygons
    12. Interior angles of a Polygon
    13. Triangle Inside Circle
    14. Chords of Circle with Pythagorean Theorem applied to Kite
    15. Ladrilhamento com quadriláteros
  2. Transformation Geometry
  3. Circles
    1. Interior Bitangent Circle
    2. LZ 8.1.2.3c Reflections Card Sort
  4. Regular shapes
  5. Concurrency
    1. Circumcenter
    2. Incenter
    3. Orthocenter
    4. Centroid
    5. Orthocenter
  6. Links
    1. Links
  7. Geometry
    1. 7.3.3.2 Using π
  8. Angles
    1. Angles produced by a Transversal
    2. Rhombus Template (Scaffolded Discovery)
  9. Books
    1. Geometry - Points of Concurrency
  10. Terms
  11. Theorems
    1. Exterior Angles of Polygon
  12. Corollaries
  13. Constructions
  14. The Theory
  15. Length and distance
  16. Triangles
    1. Triangle: Interior Angles (Revamped)
  17. GT.1 calculate, interpret...
    1. Errors in Measurement
    2. 原子筆的長度
    3. 量度身高
    4. 讀磅
  18. GT.2 a scaled diagrams
    1. Mr. Green Scale Factor Baby Pic
  19. GT.2 b Nets
  20. GT.2 c perimeter and area
  21. GT.2 d volume
  22. GT.2 e surface area
  23. S1 \ 06 | Introduction to Geometry
    1. Isometric Grids and Oblique Grids 等距網格和斜網格
    2. Sections of Rectangular Prisms (Cuboids)
    3. Sections of Triangular Prisms
    4. Sections of Cylinders
    5. Cross Sections of a Cube
    6. Platonic Solids 柏拉圖立體
    7. Sections of Rectangular Pyramids
    8. Sections of Triangular Pyramids
    9. Sections of Cones
    10. Cross Sections of a Regular Tetrahedron
    11. Sections of Spheres
    12. Exploring Sections of Cubes
  24. Congruent Triangles
    1. Ambiguity of SSA
    2. Q1
    3. Q2
    4. Rob Barton Concurrency video
    5. Q3
    6. Q5
    7. Q6
    8. Q7
    9. Q4
  25. GT.3 a perform constructions
  26. GT.3 b recall and use theorems ....
  27. GT.3 c use and explain terms:
  28. GT.3 d Proofs of propositions
  29. Synthesis and problem-solving skills
  30. Polygon

1.

Incoming

  • 1. Constructing Quadrilaterals by Four Sides (2014)
  • 2. रेषाखंडाची एकरुपता
  • 3. What are the characteristics of squares and rectangles?
  • 4. Similar Figures - Assessment for Learning
  • 5. Where is the Treasure?
  • 6. Daisy Construction
  • 7. The yellow submarine
  • 8. Triangle area
  • 9. IST: Quick Discovery (Revamped)
  • 10. The shoemaker's knife problem
  • 11. LZ 6.7.11.2 Plotting Polygons
  • 12. Interior angles of a Polygon
  • 13. Triangle Inside Circle
  • 14. Chords of Circle with Pythagorean Theorem applied to Kite
  • 15. Ladrilhamento com quadriláteros

1.1.

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1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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1.13.

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1.14.

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1.15.

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2.

Transformation Geometry


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3.

Circles

  • 1. Interior Bitangent Circle
  • 2. LZ 8.1.2.3c Reflections Card Sort

3.1.

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3.2.

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4.

Regular shapes


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5.

Concurrency

  • 1. Circumcenter
  • 2. Incenter
  • 3. Orthocenter
  • 4. Centroid
  • 5. Orthocenter

5.1.

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5.2.

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5.3.

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5.4.

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5.5.

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6.

Links

  • 1. Links

6.1.

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7.

Geometry

  • 1. 7.3.3.2 Using π

7.1.

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8.

Angles

  • 1. Angles produced by a Transversal
  • 2. Rhombus Template (Scaffolded Discovery)

8.1.

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8.2.

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9.

Books

  • 1. Geometry - Points of Concurrency

9.1.

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10.

Terms


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11.

Theorems

  • 1. Exterior Angles of Polygon

11.1.

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12.

Corollaries


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13.

Constructions


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14.

The Theory


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15.

Length and distance


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16.

Triangles

  • 1. Triangle: Interior Angles (Revamped)

16.1.

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17.

GT.1 calculate, interpret...

GT.1 calculate, interpret, and apply units of measure and time

  • 1. Errors in Measurement
  • 2. 原子筆的長度
  • 3. 量度身高
  • 4. 讀磅

17.1.

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17.2.

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17.3.

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17.4.

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18.

GT.2 a scaled diagrams

GT.2 investigate 2D shapes and 3D solids so that they can:a. draw and interpret scaled diagrams

  • 1. Mr. Green Scale Factor Baby Pic

18.1.

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19.

GT.2 b Nets

GT.2 investigate 2D shapes and 3D solids so that they can:b. draw and interpret nets of rectangular solids, [b]prisms (polygonal bases), cylinders[/b]


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20.

GT.2 c perimeter and area

GT.2 investigate 2D shapes and 3D solids so that they can:c. find the perimeter and area of plane figures made from combinations of discs, triangles, and rectangles, including relevant operations involving pi


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21.

GT.2 d volume

GT.2 investigate 2D shapes and 3D solids so that they can: d. find the volume of rectangular solids, cylinders, triangular-based prisms, spheres, and combinations of these, including relevant operations involving pi


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22.

GT.2 e surface area

GT.2 investigate 2D shapes and 3D solids so that they can: e. find the surface area and curved surface area (as appropriate) of rectangular solids, cylinders, triangular-based prisms, spheres, and combinations of these


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23.

S1 \ 06 | Introduction to Geometry

  • 1. Isometric Grids and Oblique Grids 等距網格和斜網格
  • 2. Sections of Rectangular Prisms (Cuboids)
  • 3. Sections of Triangular Prisms
  • 4. Sections of Cylinders
  • 5. Cross Sections of a Cube
  • 6. Platonic Solids 柏拉圖立體
  • 7. Sections of Rectangular Pyramids
  • 8. Sections of Triangular Pyramids
  • 9. Sections of Cones
  • 10. Cross Sections of a Regular Tetrahedron
  • 11. Sections of Spheres
  • 12. Exploring Sections of Cubes

23.1.

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23.7.

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23.9.

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23.10.

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23.11.

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23.12.

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24.

Congruent Triangles

  • 1. Ambiguity of SSA
  • 2. Q1
  • 3. Q2
  • 4. Rob Barton Concurrency video
  • 5. Q3
  • 6. Q5
  • 7. Q6
  • 8. Q7
  • 9. Q4

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24.6.

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24.7.

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24.8.

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24.9.

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25.

GT.3 a perform constructions

GT.3 investigate the concept of proof through their engagement with geometry so that they can: a. perform constructions 1 to 15 in Geometry for Post-Primary School Mathematics (constructions 3 and 7 at HL only)


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26.

GT.3 b recall and use theorems ....

GT.3 investigate the concept of proof through their engagement with geometry so that they can: b. recall and use the concepts, axioms, theorems, corollaries and converses, specified in Geometry for Post-Primary School Mathematics (section 9 for OL and section 10 for HL) I. axioms 1, 2, 3, 4 and 5 II. theorems 1, 2, 3, 4, 5, 6, 9, 10, 13, 14, 15 and 11, 12, 19, and appropriate converses, including relevant operations involving square roots III. corollaries 3, 4 and 1, 2, 5 and appropriate converses I. axioms 1, 2, 3, 4 and 5


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27.

GT.3 c use and explain terms:

c. use and explain the terms: theorem, proof, axiom, corollary, converse, and implies


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28.

GT.3 d Proofs of propositions

d. create and evaluate proofs of geometrical propositions


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29.

Synthesis and problem-solving skills


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30.

Polygon


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