# Browse

## You are looking at 1 - 10 of 10items for :

• Representations
• Quadratics and Conics
• Grades 9-12
• Twelfth
• Refine by Access: All content
Clear All
Restricted access

## Connecting Research to Teaching: Linked Representations in Algebra: Developing Symbolic Meaning

Algebra involves negotiating meaning between the worlds of mathematical ideas and the symbols that represent them. Here we examine classroom interactions and explorations as they relate to the connection of these worlds through the use of dynamically connected representations in a technology-rich environment.

Restricted access

## An Unexpected Influence on a Quadratic

Using technology to explore the coefficients of a quadratic equation leads to an unexpected result.

Restricted access

## Exploring Function Transformations Using the Common Core

Tying your teaching approach to the Common Core Standard for Geometry and Congruence will help students understand why functions behave as they do.

Restricted access

## Galileo, Gauss, and the Green Monster

Using ideas of Galileo and Gauss but avoiding calculus, students create a model that predicts whether a fly ball will clear the famous left-field wall at Fenway Park.

Restricted access

## Sorting Out Ideas about Function

A card-sorting task can help students extend their understanding of functions and functional relationships.

Restricted access

## Making Sense of Extraneous Solutions

Do you always have to check your answers when solving a radical equation?

Restricted access

## Tasks That Make Connections through Representations

Students think resiliently about using the quadratic formula, analyzing factors graphically, finding the shortest distance between two points, and finding margin of error.

Restricted access

## Activities for Students: Ellipses and Orbits: Asteroids and Comets

The orbits of planets about the sun and satellites about the earth are elliptical. The shape of the orbit can be described by its eccentricity and can be modeled algebraically and graphically. The exploration of orbits enriches our understanding of the mathematical representations, definitions, and connections for ellipses.

Restricted access

## Activities for Students: Ellipses and Orbits: An Exploration of Eccentricity

The orbits of planets about the sun and satellites about the earth are elliptical. The shape of the orbit can be described by its eccentricity and can be modeled algebraically and graphically. The exploration of orbits enriches our understanding of the mathematical representations, definitions, and connections for ellipses.

Restricted access

## Errors in Mathematics Aren't Always Bad

We tell students that mathematical errors should be avoided, but understanding errors is an important tool in developing numerical methods.