Child pages
  • Comparison Problems & Tables

Comparison Problems & Tables

 

Summary

This class will be used to review concepts and representations as applied to the solution of verbal comparison problems and to work on function tables.

Goals

1. Further work with addition (and subtraction) as functions, not simply operations on particular numbers.

2. Introduction to multiplication as functions.

Materials

Overheads, Handouts

Keywords

Contextualized Situations

Full Class Discussion

Interpretation of Stories

Production of Algebraic Expressions

Production of Tables

Representing Variables

Small Group Work

 


Activity Plan:

Reasoning about Relative Heights

1. The Problems [Whole Class ]

Present the first handout (Page 1) and display the corresponding overhead (also Page 1) to whole class.

Work with the children to represent and solve the first problem.

Make sure to represent the problem both as line segments and as number sentences.

2. Representing and Solving the Problems [Group Work/Whole Class]

Ask children to diagram each problem on Page 1, to represent each one as a number sentence, and to solve them. 

Choose one or two solutions to discuss.

Ask the children to present, discuss, and explain their answers to the whole class.

3. Table of Possible Values [Whole Class/Group Work ]

Distribute the handout on Page 2 and ask the children to complete the tables and to determine, for each table, what rule is used to produce the outputs from the inputs.

4. Homework (Page 3)

The homework focuses on comparison problems and is similar to the first part of this class.

 


Overhead and Handout: Heights Problem (Page 1)

 

Name: _________________________________ Date: ____________

 

Maria is 3 inches shorter than Tim.  Maria is 35 inches tall.  How tall is Tim?

Diagram:

 

 

 

Number sentence: ____________________________________

 

Maria is 5 inches taller than Jack.  Maria is 35 inches tall.  How tall is Jack?

Diagram:

 

 

 

Number sentence: ____________________________________

 

Nancy is 4 inches shorter than Kevin.  We don’t know Nancy’s height.

How can you represent Kevin’s height?

Diagram:

 

 

 

Number sentence: ____________________________________

 

Nancy is 6 inches taller than Bob.  We don’t know Nancy’s height.

How can you represent Bob’s height?

Diagram:

 

 

 

Number sentence: ____________________________________

 


Overhead and Handout: Function Tables (Page 2)

 

Name: _________________________________ Date: ____________

 

Complete the tables:

 

Column A

Column B

3

5

6

8

10

12

12

 

R

 

 

What rule did you use to get the numbers in column B from the numbers in column A? ________________________________________________________

 

Column A

Column B

3

9

6

18

10

30

12

 

S

 

 

What rule did you use to get the numbers in column B from the numbers in column A? ________________________________________________________
Overhead and Homework (Page 3)

 

Name: _________________________________ Date: ____________

 

Tony has 4 candies.  He has 3 candies less than John.  How many candies does John have?

Diagram:

 

 

 

 

Number sentence: _________________________________________

Maria is 5 inches taller than Jack.  Maria is 35 inches tall.  How tall is Jack?

Diagram:

 

 

 

 

Number sentence: _________________________________________

John has 3 dollars less than Mary.  We don’t know how much money John has.  How can you represent Mary’s amount of money?

Diagram:

 

 

 

 

Number sentence: _________________________________________

Nancy has 6 dollars more than Bob.  We don’t know how much money Nancy has.  How can you represent Bob’s amount of money?

Diagram:

 

 

 

 

Number sentence: _________________________________________