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Teachers — Training of
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Algebra — Study and Teaching (Secondary)
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1.

## Alice to the Moon [electronic resource]

Focuses on Alice in Wonderland to present a lesson on algebra and functions for a tenth-grade class.
Online
1996
2.

## Exploring Functions [electronic resource]

Students practice process standards such as reasoning and problem-solving as they work in groups to solve two equations using more than one method, such as graphing, algebra or geometry.
Online
1996
3.

## Ferris Wheel [electronic resource]

Uses the concept of a ferris wheel as students work with functions, algebra, geometry and trigonometry.
Online
1996
4.

## Maximizing Profits [electronic resource]

A class is divided into small groups to discuss problem-solving strategies, such as finding a verbal model, assigning labels, and writing an algebraic model based on maximizing profit on sales of necklaces and bracelets.
Online
1996
5.

## Conjectures Through Graphing [electronic resource]

Students work in groups to solve four problems on derivatives of exponential functions.
Online
1996
6.

## Problem Solving [electronic resource]

Presents excerpts from 10 classrooms where students are learning mathematics through problem solving. Teachers use multilayered tasks to engage students in making conjectures, constructing meaning, and developing strategies.
Online
1996
7.

## Variables and Patterns of Change [electronic resource]

In Part I, Janel Green introduces a swimming pool problem as a context to help her students understand and make connections between words and symbols as used in algebraic situations. In Part II, Jenny Novak s students work with manipulatives and algebra to develop an understanding of the equivalence transformations used to solve linear equations.
Online
2004
8.

## Linear Functions and Inequalities [electronic resource]

In Part I, Tom Reardon uses a phone bill to help his students deepen their understanding of linear functions and how to apply them. In Part II, Janel Green s hot dog vending scheme helps her students learn how to solve linear equations and inequalities using three methods: tables, graphs, and algebra.
Online
2004
9.

## Systems of Equations and Inequalities [electronic resource]

In Part I, Jenny Novak s students compare the speed at which they write with their right hands with the speed at which they write with their left hands. This activity enables them to explore the different types of solutions possible in systems of linear equations, and the meaning of the solutions. In Part II, Patricia Valdez s students model a real-world business situation using systems of linear inequalities.
Online
2004
10.

## Quadratic Functions [electronic resource]

In Part I, Tremain Nelson and his students use a basketball toss as a launching point to learn how the constants in the equation y = a(x - h)2 + k transform the parent function y = x2. In Part II, Tremain and the students apply what they learned in the previous lesson to model several bounces of a ball dropped below a motion detector
Online
2004
11.

## Properties [electronic resource]

In Part I, Tom Reardon s students come to understand the process of factoring quadratic expressions by using algebra tiles, graphing, and symbolic manipulation. In Part II, Sarah Wallick s students conduct coin-tossing and die-rolling experiments and use the data to write basic recursive equations and compare them to explicit equations.
Online
2004
12.

## Exponential Functions [electronic resource]

In Part I, Orlando Pajon uses a population growth simulation to introduce students to exponential growth and develop the conceptual understanding underlying the principles of exponential functions. In Part II, a scenario from Alice in Wonderland helps Mike Melville s students develop a definition of a negative exponent and understand the reasoning behind the division property of exponents with like bases.
Online
2004
13.

## Direct and Inverse Variation [electronic resource]

To develop an understanding of direct vatiation, in Part I, Peggy Lynn s students simulate oil spills on land and investigate the relationship between the volume and the area of the spill. In Part II, they develop the concept of inverse variation by examining the relationship of the depth and surface area of a constant volume of water that is transferred to cylinders of different sizes.
Online
2004
14.

## Mathematical Modeling [electronic resource]

Presents two capstone lessons that demonstrate mathematical modeling activities in Algebra 1. In both lessons, the students first build a physical model and use it to collect data and then generate a mathematical model of the situation they ve explored. In Part I, Sarah Wallick s students use a pulley system to explore the effects of one rotating object on another and develop the concept of transmission factor. In Part II, Orlando Pajon s students conduct a series of experiments, determine the pattern by which each set of data changes over time, and model each set of data with a linear function or an exponential function.
Online
2004