1. Using Manipulatives to Teach Geometry

2. srpowell@austin.utexas.edu @sarahpowellphd
119

3. Instructional Platform
INSTRUCTIONAL DELIVERY
Explicit instruction
Precise language
Multiple representations
INSTRUCTIONAL STRATEGIES
Fluency building
Problem solving instruction
Motivation component

4. Explicit Instruction Modeling Practice Clear Explanation Guided
Independent Practice
Planned
Examples
Supporting Practices
Asking the right questions
Eliciting frequent responses
Providing immediate specific feedback
Maintaining a brisk pace

5. Use formal math language
Precise Language
Use formal math language
concise
Use terms precisely

6. Multiple Representations
Abstract
Pictorial
Concrete

8. Two-Dimensional Shapes

9. Identifying 2D Shapes Two-dimensional (2D) figures first
Students need to learn to:
Identify
Name
Draw
Locate in environment
Anglegs
Pattern Blocks

10. 2D Shape Vocabulary Closed figure versus open figure Polygon Regular
All angles equal and all sides equal
Irregular
Line
Line segment
Angle
Space between 2 intersecting lines at the point where the lines meet

11. Angles

12. Understanding 2D Shapes Triangles
Property of a triangle
A closed figure with 3 line segments and 3 angles
Anglegs
Geoboards

13. Understanding 2D Shapes Quadrilaterals
Property of a quadrilateral
A closed figure with four line segments
Types of quadrilaterals

14. Understanding 2D Shapes Other Polygons
These shapes can be regular and irregular
Name
Sides
Example
Pentagon 5
Hexagon 6
Heptagon 7
Octagon 8
Nonagon 9
Decagon 10
Hendecagon 11
Dodecagon 12
Geoboards

15. Spatial Reasoning

16. Spatial Reasoning
Tangrams
Pentominoes
Tessellations
Pattern blocks

17. Three-Dimensional Shapes

18. Identifying 3D Shapes
A three-dimensional (3D) figure has height, width, and depth
Students need to learn to:
Identify
Name
Locate in environment

19. 3D Shape Vocabulary Solid figure A three-dimensional, closed figure
Face
Vertex/Vertices
Edge

20. 3D Shape Vocabulary
Prism: Solid figure with two end faces that are equal and all sides are quadrilaterals
Pyramid: Solid figure with polygon base and triangular faces that meet at a common point

21. Polydrons

22. Instructional Platform
INSTRUCTIONAL DELIVERY
Explicit instruction
Concise language
Multiple representations
INSTRUCTIONAL STRATEGIES
Fluency building
Problem solving instruction
Motivation component

23. srpowell@austin.utexas.edu @sarahpowellphd
119