Project Films

First and Second Lessons

First Lesson

Instructor: Dr. Robert Davis

Time: 1 Hr, 1 Min, 29 Sec

Grade level: 3-7

Description: Introduction of the concepts of variables, open sentences, signed numbers, and Cartesian coordinates.

 

 

Second Lesson

Instructor: Dr. Robert Davis

Time: 1 Hr, 6 Min, 33 Sec

Grade level: 3-7

Description: This lesson is with the same students as the First Lesson, but one day later. The mathematical content is open sentences, identities, and linear graphs.

 

In-Service Excerpts

Positive and Negative Numbers Demonstrated with Pebbles in a Bag

Instructor: Dr. Robert Davis

Time: 7 Min, 33 Sec

In-Service course 1, session 1, excerpt 1, agenda item 3

In-Service course 1, session 1, excerpt 5, agenda item 10, 11, 12

 

 

The Number Line

Instructor: Dr. Robert Davis

Time: 3 Min, 47 Sec

In-Service course 1, session 1, excerpt 2, agenda item 6

Description: Introduction of the Number Line (positive and negative values).

 

 

Crossed Number Line

Instructor: Dr. Robert Davis

Time: 3 Min, 39 Sec

In-Service course 1, session 1, excerpt 2, agenda item 8

Description: Plotting pairs of numbers in the first quadrant of coordinate system.

 

 

Tic-Tac-Toe

Instructor: Dr. Robert Davis

Time: 5 Min, 15 Sec

In-Service course 1, session 1, excerpt 2, agenda item 11

Description: Practice of plotting points in the first quadrant of a coordinate system.

 

 

True, False, and Open Sentences

Instructor: Dr. Robert Davis

Time: 5 Min, 47 Sec

Grade level: 4-7

In-Service course 1, session 2, excerpt 1, agenda item 2

In-Service course 1, session 4, excerpt 1, agenda item 4

Description: A square symbol as a variable to introduce equations with variables.

 

 

Open Sentences with Two Variables

Instructor: Dr. Robert Davis

Time: 3 Min, 39 Sec

Grade level: 5-7

In-Service course 1, session 2, excerpt 2, agenda item 4

Description: Square and triangle symbols used in equations.

 

 

Introduction to Linear Graphs

Instructor: Dr. Robert Davis

Time: 18 Min, 8 Sec

Grade level: 5-7

In-Service course 1, session 2, excerpt 3, agenda item 6

Description: Equations with two variables plotted on a coordinate system.

 

 

Tic-Tac-Toe in Four Quadrants

Instructor: Beryl Cochran

Time: 5 Min, 51 Sec

Grade level: 3-6

In-Service course 1, session 2, excerpt 4, agenda item 9

Description: Tic-Tac-Toe on a coordinate system to practice plotting points.

 

 

Experience with Linear Graph

Instructor: Dr. Robert Davis

Time: 19 Min, 51 Sec

In-Service course 1, session 3, excerpt 1, agenda item 3

Description: Graphing equations with different slopes.

 

 

Use of Parentheses

Instructor: Dr. Robert Davis

Time: 1 Min, 34 Sec

In-Service course 1, session 4, excerpt 2, agenda item 6

Description: Equations with parentheses.

 

 

Rule of Substitution

Instructor: Dr. Robert Davis

Time: 2 Min, 45 Sec

In-Service course 1, session 4, excerpt 3, agenda item 8

Description: Repeated variables must represent the same value.

 

 

Pet Shop Stories

Instructor: Dr. Robert Davis

Time: 6 Min, 53 Sec

In-Service course 1, session 4, excerpt 4, agenda item 10

Description: Positive and negative numbers presented as the change in money in a cash register as pets are bought from or sold back to a store.

 

 

Quadratic Equations

Instructor: Dr. Robert Davis

Time: 14 Min

In-Service course 1, session 4, excerpt 5, agenda item 12

Description: Search for secret to solve (box x box) – (5 x box) + 6 = 0.

 

 

Formulas vs. Functions

Instructor: Dr. Robert Davis with Beryl Cochran

Time: 3 Min, 56 Sec

In-Service course 1, session 6, excerpt 1, agenda item 3

Description: Guess my rule activity.

 

 

Graphs and Tables for Weights and Springs

Instructor: Dr. Robert Davis

Time: 6 Min, 15 Sec

In-Service course 1, session 8, excerpt 1, agenda item 2

Description: Generating a function by looking at the graph of data generated using weights on a spring.

 

 

Postman Stories for Addition

Instructor: Beryl Cochran

Time: 5 Min, 42 Sec

In-Service course 1, session 6, excerpt 2, agenda item 7

In-Service course 1, session 9, excerpt 1, agenda item 2

Description: Positive values are represented by the postman bringing a check and negative values are represented by the postman bringing a bill. Combining checks and bills serves as a model for adding positive and negative values.

 

 

Postman Stories for Addition and Subtraction

Instructor: Dr. Robert Davis

Time: 10 Min, 7 Sec

In-Service course 1, session 7, excerpt 1, agenda item 2

Description: Bills and checks are delivered and taken away to present addition and subtraction of positive and negative values.

 

 

Postman Stories for Multiplication

Instructor: Beryl Cochran

Time: 2 Min, 45 Sec

In-Service course 1, session 9, excerpt 2, agenda item 4

Description: Multiple bills and checks are delivered and taken away to present multiplication of positive and negative values.

 

 

Postman Stories for Addition, Subtraction and Multiplication

Instructor: Beryl Cochran

Time: 6 Min, 26 Sec

In-Service course 1, session 9, excerpt 3, agenda item 6

Description: Students develop stories to match equations.

 

 

Postman Stories that Involve "Taking Away"

Instructor: Beryl Cochran

Time: 2 Min, 31 Sec

In-Service course 1, session 9, excerpt 4, agenda item 9

Description: Demonstrates taking away multiple negatives is positive.

 

Miscellaneous

Postman Stories

Instructor: Katherine Kharas

Time: 12 Min, 58 Sec

Description: Postman stories are used to teach positive and negative numbers in this film which was shot at The Byrd School (a Chicago Public School) on October 12, 1965.