California Math Council


Home
Conferences
Membership
Donations
Festivals: Algebra, Geometry, Number
Affiliates
Calendar of Events
Issues for Parents and Teachers
Awards, Grants and Scholarships
Publications
Online Resources
About Us
Officers and Contact Information

Problem Solving March 2003 (v 27.3)

Use Your Head    GRADES K–2

In this activity students compare the circumference of their head to objects in the classroom. Ask students to estimate and cut a piece of string that equals the circumference of their head. Before selecting their own objects to measure, work as a whole group and make a chart that lists items in the room that might be shorter, longer, or about the same length as their pieces of string.
    Give each child a piece of paper that has been folded into three parts. As you model, have the students write shorter, equal to, and longer in the parts. Students will then use their string to measure objects in the classroom and record their results.
    Send us examples of student work and include some information about how students approached this task.



Measurement Puzzle    GRADES 3–5

Present the Measurement Puzzle worksheet to the students, asking them to explain in writing what they think it means. (NOTE: Click on Measurement Puzzle to have it download to your computer; then open it in Word regardless of what application it appears to be.) Have the students work individually or in groups to solve the puzzle.
    They should find that the graphic contains a G for gallon, Q for quart, P for pint, and C for cup. The Cs are placed in the Ps to signify how many cups are in a pint, Ps in Qs to show how many pints in a quart, and Qs in the “G” to show how many quarts are in a gallon.
Challenge the students to develop other representations for the ratios such as Mr. or Mrs. Measurement, in this issue of the ComMuniCator.
    Send examples of student work to the ComMuniCator.



Pets Cost Money!    GRADES 6–8

The American Veterinary Medical Society reports that Americans spend $20.3 billion on their pets each year. Students should research the number of American households, then calculate the amount spent per household.
    Then students should find the cost of maintaining an entire family in various other countries. Are they surprised?
    Have students make a display of the comparisons of findings including charts, graphs, and written observations.



Find the Values    GRADES 9–12

In his presentation at the CMC-South Palm Springs conference, Bob London posed many interesting problems that addressed the problem solving standards. Ask your students to solve one of his problems presented here.
    Find the values of all the letters a through j. Each letter is a different whole number value, 0 through 9, inclusive.

            j + e = j
            g · g = d
            b + g = d
            f – b = c
            i/h = a
            a · c = a

    After your students solve the problem, ask them to create a similar problem for their classmates to solve. The problems need not be limited to whole numbers. Send examples of your students’ problems and solutions to the ComMuniCator. Students should include an explanation of how they approached this task.



Return to Student Problem Soving Main Page.

Page Properties

Print This Page


This Page was last updated: Wednesday, March 17, 2004 at 12:05:20 AM
This page was originally posted: 3/16/2004; 11:49:06 PM.
Copyright 2008 cmcmath

This is a Manila Site