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Spatial Understanding vs Geometry
Spatial Understanding vs Geometry
Coming soon!!
Related mat(h)erials
Related mat(h)erials
Virtual manipulatives:
geoboards
tiling shapes or Rangometry
Shapes
Shapes
How we see the world
3D Shapes
3D Shapes
Primary
Primary
spheres
cuboids (including cubes)
cylinders, cones
Middle school onward
Middle school onward
(mostly in mensuration)
cuboids
cylinders
cones and frustums
spheres
prisms
pyramids
2D Shapes
2D Shapes
Primary
Primary
circles, rectangles (including squares), triangles
lines, angles
Middle school onward
Middle school onward
lines and angles
polygons - triangles and quads
circles
Lines and Angles
Lines and Angles
The basic pair
Introduction to lines
1. lines-e.pptLines, rays and line segments
2. line-ray-segment-e.ppt3. angles-e.pptAngles with intersecting circles
angle-circles.pdf15degree circle protractor
circle-15deg.pdfMeasuring line segments and angles
measure.pptCircles
Circles
The perfect shape
Introduction to circles
6. circle-e-apu.pptTriangles
Triangles
The simplest polygon
4. triangles-e.pptQuadrilaterals
Quadrilaterals
The most common polygon
quad-types.pdfIntroduction to quads
5. quads-e.pptResults:
Results:
Theorem-Corollary++
Theorem-Corollary++
The tree rooted in axioms and definitions
Constructions
Constructions
with straight edge and compass
Constructing a line and an angle
1. line-angle-cons-e.pptBasic constructions
2. basic-cons-e.pptConstructing special angles
3. special angles-cons-e.pptShapes behind constructions
7. cons-why-e.pptConstructing triangles
4. triangles-cons-e.pptConstructing quads
5. quads-cons-e-apu.pptWorksheet on quad construction
quad-cons-WS.pdfConstructing parallel lines
6. parallel-cons-e.pptChallenges: Find criteria and steps quad constructions
quad-cons-poss.pdfMapping 3D to 2D
Mapping 3D to 2D
Nets and Views
Nets and Views
Top-Front-Side
Top-Front-Side
Top view is a precursor to maps
Nets of solids
nets.pdfSketches
Sketches
Deep drawings
Deep drawings
Shows three different sides
Isometric sketches
Isometric sketches
Keeps the lengths same
Oblique sketches
Oblique sketches
Keeps the front same
Symmetry
Symmetry
Line Symmetry
Line Symmetry
Mirror! Mirror!
Rotational Symmetry
Rotational Symmetry
Turned, or not?
Coordinate Goemetry
Coordinate Goemetry
Mapping the plane with numbers
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