Geometric ShapeA Parent Guide to Everyday MathematicsGeometric Shape

Welcome to Everyday Mathematics

The University of Chicago School Mathematics Project was designed to improve school mathematics in grades Kindergarten through 12. The mathematics program your child will use, Everyday Mathematics, is an outgrowth of this project.

Everyday Mathematics' curriculum is based on spiral levels of understanding from simple explorations to advanced understanding of concepts and skills. Frequently students are asked to explain how they got the answers, to try to find another way to get the same answer. The program also utilizes discussion, daily routines, year-long projects, partner and small-group activities, games, manipulatives, and home-school partnerships

The information contained here will give you an overview about some of the key content and special features in Everyday Mathematics.

How can you help your child increase his or her understanding and enjoyment of mathematics? Keep home-school communication open; listen to your child's questions and requests concerning mathematics; and integrate mathematics into your everyday life.

 

Mathematics Content

Everyday Mathematics covers a broad range of mathematic content areas, or strands. Here is a chart of the strands which are emphasized throughout the program.

Kindergarten numeration · counting · operations · problem solving · graphing · geometry · measure · time · money · functions · relations · attributes · patterns
First Grade numeration and counting · operations and relations · problem solving · exploring data · geometry · measures · reference frames · money · patterns and rules
Second Grade numeration and counting · operations and relations · problem solving · data collection and analysis · geometry · measures · reference frames · money · patterns and rules
Third Grade numeration · operations and relations · problem solving · data collection and analysis · geometry · measures · reference frames · rules, patterns, and functions · beginnings of algebra
Fourth Grade numbers, numeration, and order relations · measures and measurement · coordinate systems and reference frames · operations, number facts, and number systems · algorithms and procedures · problem solving and mathematical modeling · exploring data · geometry and spatial sense · functions, patterns, and sequences · algebra and uses of variables
Fifth and Sixth Grade numbers, numeration, and order relations · measures and measurement · coordinate systems and other reference frames · operations, number facts, and number systems · algorithms and procedures · problem solving and mathematical modeling · exploring data · geometry and spatial sense · functions, patterns, and sequences · algebra and uses of variables

 

Students' Everyday Mathematics Materials

Below are the key student materials available at the grade levels specified.

1. Journals provide visual models for understanding concepts. Students record mathematical discoveries and experiences, use recorded data, and various book activities (Grades 1-3). For the upper grades, students record information and work problems in the journals (Grades 4-6).
2. Activity Books provide the materials for hands-on activities. Pages are perforated and unit review and assessment pages are included (Grades 1-3).
3. World Tour Book a variety of data and maps, short essays of interest, games, and recipes (Grade 4).
4. American Tour Almanac reference information, including maps, graphs, and tables for use in the discovery and analysis of the United States (Grade 6).
5. Home Links/Study Links TM Home Links include counting, sorting, measuring, estimating and solving problems. For example, sort grocery items into groups. Plan dinners for the week. Study Links are used to extend the material covered in the lessons for Grades 4 and 5. The assignments can also serve as an assessment tool.
6. Geometry Template a unique drawing and measurement tool that features 23 geometric shapes.

Mathematically Speaking

Listed below are some terms and types of activities your child uses in Everyday Mathematics.

Minute Math Minute Math is a convenient pocket-size book containing brief mental problem-solving activities and puzzles. Penny

A piggy bank contains 5 pennies, 2 nickels, 1 dime, and 1 quarter. How many different kinds of coins are in it? (4 different kinds)

A mother hen has 7 chicks, and 5 of these chicks are black. The others are yellow. How many chicks are yellow? (2 are yellow)

5-Minute Math 5-Minute Math is in many lessons for older students. These tasks strengthen students' number sense, provide review, and solidify mathematical knowledge. Write at least two other names for:
  • 1/2 ( 8/16 , 50%, 0.5 )
  • 1/10 ( 10/100, 10%, 0.1, 0.10 )
  • 1/4 ( 2/8 , 25%, 0.25 )
  • 2/5 ( 4/10, 40%, 0.4 )
Frames and Arrows Frames and Arrows, or chains, are diagrams that are used to represent number sequences--sets of numbers that are ordered according to a rule. These diagrams consist of frames connected to arrows to show the path for moving from one frame to another. Each frame contains a number in the sequence; each arrow represents a rule that determines what number goes in the next frame.

 

Frames and ArrowsFrames and Arrows

Games Games furnish the opportunity for frequent practice that is necessary to attain mastery of a skill. Because children enjoy the games, the practice of a skill is less tedious. Besides building fact and operations skills, games reinforce other skills: calculator usage, money exchange and shopping, logic geometric intuition, and probability and chance intuition.

Games also reduce the need for worksheets, a form of practice that students perform in every subject. Because the numbers in most games are randomly generated, the games can be played over and over without repeating the same problems. Many games have variations suggested that allow players to progress from easy to more challenging versions.

 
Math Boxes Math Boxes are a marvelous way to review material on a regular basis. They consist of a series of cells (three at the beginning of the early grades, six or more in the higher grades) containing brief review activities Draw dice dots for 6. Dice

Write the next  number after:

7,________

13,________

19,________

Write tallies for

6________

16________

24________

Math Message Many teachers begin the day with a morning mathematics message written on the board, overhead projector, or a piece of paper to be completed by the children as they arrive at school. The messages may consist of problems to solve, directions to follow, tasks to complete, notes to copy, sentences to complete or correct, or brief quizzes. Pencil

Mathematics Message Draw a triangle on a sheet of paper. Measure its angles. Find the sum of the angles.

 

Name Collection Boxes

This device is used to collect equivalent names for numbers. It offers a simple way for children to experience the powerful notion that numbers can be expressed in many different ways.

A name-collection box is an open-top box with a label attached to it. The name on the label identifies the number whose names are collected in the box. The box shown is a 35-box, a name collection box for the number 35.

Names can introduce sums, differences, products, quotients, the results of combining several operations, words in English or another language, tally marks, arrays, Roman numerals, and so on.

Name Collection Box

30 + 5

75 - 40

7 * 5

175 / 5

(8 * 5) - 5

Treinta y cinco   XXXV

 

What's My Rule?

This activity consists of a set of number pairs in which numbers in each pair are related to one another according to the same rule. This relationship can be represented by a "function machine" that is programmed to process numbers according to a rule. A number (input) is put into the machine and is transformed into a second number (output) through the application of the rule. The skills developed are a prerequisite for pre-algebra.

What's My Rule? problems are usually displayed in table form, in which two of the three parts are known. The goal is to find the unknown part.

 

What's My Rule?

 

in

out

34 40
_____ 46
62 68
56 ____
____ ____
   

 

 

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Last Updated Friday March 04, 2005

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