Using Manipulatives to Teach Geometry Copyright 2019 Sarah

Using Manipulatives to Teach Geometry Copyright 2019 Sarah R. Powell, Ph. D.

srpowell@austin. utexas. edu @sarahpowellphd 119 Copyright 2019 Sarah R. Powell, Ph. D.

Instructional Platform INSTRUCTIONAL DELIVERY Explicit instruction Precise language Multiple representations INSTRUCTIONAL STRATEGIES Fluency building Problem solving instruction Motivation component Copyright 2019 Sarah R. Powell, Ph. D.

Explicit Instruction Modeling Practice Clear Explanation Guided Practice Planned Examples Independent Practice Supporting Practices • Asking the right questions • Eliciting frequent responses • Providing immediate specific feedback • Maintaining a brisk pace Copyright 2019 Sarah R. Powell, Ph. D.

Precise Language Use formal math language concise Use terms precisely Copyright 2019 Sarah R. Powell, Ph. D.

Multiple Representations Abstract Concrete Copyright 2019 Sarah R. Powell, Ph. D. Pictorial

Copyright 2019 Sarah R. Powell, Ph. D.

Two-Dimensional Shapes Copyright 2019 Sarah R. Powell, Ph. D.

Identifying 2 D Shapes Two-dimensional (2 D) figures first Students need to learn to: • Identify • Name • Draw • Locate in environment Copyright 2019 Sarah R. Powell, Ph. D. Anglegs Pattern Blocks

2 D 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 Copyright 2019 Sarah R. Powell, Ph. D.

Angles Copyright 2019 Sarah R. Powell, Ph. D.

Understanding 2 D Shapes Triangles Property of a triangle • A closed figure with 3 line segments and 3 angles Anglegs Geoboards Copyright 2019 Sarah R. Powell, Ph. D.

Understanding 2 D Shapes Quadrilaterals Property of a quadrilateral • A closed figure with four line segments Types of quadrilaterals Copyright 2019 Sarah R. Powell, Ph. D.

Understanding 2 D Shapes Other Polygons These shapes can be regular and irregular Name Sides Pentagon 5 Hexagon 6 Heptagon 7 Octagon 8 Nonagon 9 Decagon 10 Hendecagon 11 Dodecagon 12 Copyright 2019 Sarah R. Powell, Ph. D. Example Geoboards

Spatial Reasoning Copyright 2019 Sarah R. Powell, Ph. D.

Spatial Reasoning Tangrams Pentominoes Tessellations • Pattern blocks Copyright 2019 Sarah R. Powell, Ph. D.

Three-Dimensional Shapes Copyright 2019 Sarah R. Powell, Ph. D.

Identifying 3 D Shapes A three-dimensional (3 D) figure has height, width, and depth Students need to learn to: • Identify • Name • Locate in environment Copyright 2019 Sarah R. Powell, Ph. D.

3 D Shape Vocabulary Solid figure • A three-dimensional, closed figure Face Vertex/Vertices Edge Copyright 2019 Sarah R. Powell, Ph. D.

3 D 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 Copyright 2019 Sarah R. Powell, Ph. D.

Polydrons Copyright 2019 Sarah R. Powell, Ph. D.

Instructional Platform INSTRUCTIONAL DELIVERY Explicit instruction Concise language Multiple representations INSTRUCTIONAL STRATEGIES Fluency building Problem solving instruction Motivation component Copyright 2019 Sarah R. Powell, Ph. D.

srpowell@austin. utexas. edu @sarahpowellphd 119 Copyright 2019 Sarah R. Powell, Ph. D.