W
elcome to Everyday Mathematics, the elementary school
mathematics curriculum developed by the University of Chicago
School Mathematics Project (UCSMP). Everyday Mathematics
offers you and your children a broad background and rich experiences in
mathematics.
First Grade Everyday Mathematics content emphasizes the following
content strands, skills and concepts:
❖ Numeration Counting; reading and writing numbers; investigating
place-value of whole numbers; exploring fractions and money.
❖ Operations and Computation Learning addition and subtraction
facts, fact families, and extended facts; beginning informal work
with properties of numbers and problem solving.
❖ Data and Chance Collecting, organizing, and displaying data
using tables, charts, and graphs; exploring concepts of chance.
❖ Geometry Exploring 2- and 3-dimensional shapes.
❖ Measurement and Reference Frames Using tools to measure
length, capacity, and weight; using clocks, calendars, timelines,
thermometers, and ordinal numbers.
❖ Patterns, Functions, and Algebra Exploring attributes, patterns,
sequences, relations, and functions; finding missing numbers and
rules in Frames-and-Arrows and “What’s My Rule?” problems;
studying properties of operations.
Within the content of Everyday Mathematics, emphasis is placed on:
❖ A problem-solving approach based on everyday situations that
develops critical thinking.
❖ Frequent practice of basic skills through ongoing program routines
and mathematical games.
❖ An instructional approach that revisits topics regularly to ensure
full concept development.
❖ Activities that explore a wide variety of mathematical content and
offer opportunities for students to apply their basic fact skills to
geometry, measurement, and algebra.
Everyday Mathematics will provide you with ample opportunities to monitor
implementation. At the beginning of the school year, focus on Parts 1 and 2
of the three-part lesson plan and try at least one assessment technique
from each of the four sources: ongoing, product, and periodic assessment
and outside tests. As the school year progresses, incorporate activities from
Part 3 of your lesson plan as appropriate for your children and try some
of the other assessment suggestions to gain a clearer picture of student
development. During your first year, you will become increasingly
comfortable with the content, components, and strategies of First Grade
Everyday Mathematics.
You and your children will incorporate mathematical processes as a part
of everyday work and play. These processes will gradually shape children’s
ways of thinking about mathematics and foster the development of
mathematical intuition and understanding.
Have an exciting year!
xxiv
Introduction
Professional Preparation
Components for
First Grade Everyday Mathematics
Go to ...
When you need…
Teacher’s Lesson Guide
Daily lessons; unit support information;
key vocabulary; scope and sequence
Grades K–2
Math Masters
Blackline masters for Math Boxes, Home
Links, projects, and assessments
Assessment Handbook
Suggestions for portfolio, ongoing, and
product assessment
Teacher’s Reference Manual
Background on mathematical content;
ideas for curriculum and classroom
management for K–3
Home Connection Handbook
Suggestions for home-school
communication for K–6
Minute Math ®
Quick activities for transition time
Content by Strand Poster
Skills organized by content strand and
paced by month (side one); learning
goals organized by unit for the year
(side two)
Student Math Journal
Lesson support material for students
to analyze and complete; a year-long
record of each student’s mathematical
development
Suggested Reading & Lesson Preparation
In order to prepare for effective classroom and curriculum
management, we suggest that the following activities take place
before you teach Everyday Mathematics for the first time.
Reading and Planning
❑
❑
❑
Review each of the components in your Teacher’s Resource Package
(TRP). Take time to analyze where information and materials are
located so that you may access them as needed throughout the school
year. See the chart above.
Read Unit 1 Organizer and the first three to four lessons in your
Teacher’s Lesson Guide.
Prepare a general daily math schedule. This schedule should include
time for morning routines (calendar, weather, attendance, etc.),
Teaching the Lesson, and Ongoing Learning and Practice activities
such as games and Math Boxes.
Introduction
xxv
Materials Preparation
Prepare materials as indicated in the first three to four lessons.
Special items for consideration include:
❑
❑
❑
❑
❑
Review the Penny-Dice Game. See Teacher’s Lesson Guide Unit 1,
Lesson 3, page 24. Make note of the game skills (i.e., rolling the dice)
you will need to teach before play begins. Try the game with a
colleague. Consider any adaptations you may need to make for various
abilities.
Create Tool Kits. See Teacher’s Lesson Guide, Unit 1, Lesson 3,
page 22.
Prepare slates for student use. See Teacher’s Lesson Guide, Unit 1,
Lesson 4, page 26.
Write and copy a list of coins for each student to bring from home
(10 pennies, 5 nickels). Suggest that students bring the coins in either
a small plastic bag or a 35 mm plastic film container. An additional
class collection of pennies is also useful.
Prepare a supply of paper:
1
Blank 8 2 11 (full, half, and quarter size sheets)
Primary grade handwriting paper
Colored construction paper
Graph paper (1-inch)
xxvi
Introduction
Organizing Your Classroom
Items for Display
Before the school year begins, we suggest that you prepare the
following items for classroom display. By taking time to prepare
these items your first year and laminating them if possible, you will
be able to re-use them year after year. See the Management Guide
of your Teacher’s Reference Manual for more information and
suggestions.
❑
❑
❑
❑
❑
❑
❑
❑
❑
❑
Number cards with words
Number Line (35–180)
Number Grid Poster (In your TRP)
Monthly Calendar
Weather/Temperature Recording Chart
Attendance Chart
Daily Class Schedule
Job Chart
N, S, E, W directional indicators
Class Data Pad
Classroom Set-Up
The following items should be considered as you set-up your
Everyday Mathematics classroom. Try several configurations until
you find one that is comfortable and effective for both you and your
students. Visit other classrooms in your building to observe and
discuss what works for your colleagues.
❑
❑
❑
❑
Prepare and label a location in the classroom where students
may deposit their written work: Math Messages and Home Links.
Arrange classroom desks/tables to allow for easy access to
manipulatives and to facilitate efficient transitions for individual,
partner, and small group activities.
Organize class and individual manipulatives for easy access
and efficient use of storage space.
Allow (table) space for math center(s). Particular games and
activities may then be left in this space for ongoing practice
or free exploration.
Introduction
xxvii
Manipulatives for First Grade Everyday
Mathematics Activities
The following list has been organized to highlight the items
that are used on a regular basis throughout First Grade
Everyday Mathematics. Some lessons call for minor additional
materials, which you or your students may bring in at the
appropriate time.
Additional Valuable
Classroom Resources
Quantity
Item
Number Cards, 0–100,
with numerals and words
1 set
Attribute Blocks
Demonstration Clock
1 set
Base-10 Blocks
10 sets
Play Money Bills
1 per student
Calculator* (TI-108 recommended)
1 per student
Clock Face
1 set
Clock Face Stamps
Overhead Projector Materials
Class Data Pad
(12 x15 spiral flip chart)
1 set
Coin Stamps, heads
1 pkg. (2000)
Connectors (twist ties)
1 pkg. (1000)
Counting (Craft) Sticks
1 pkg. (16 total)
Dice, blanks
1 per student
Die, dot
3 pkg. (18 total)
Dice, polyhedra
5 sets
Dominoes, Double-9
15 decks
Everything Math Decks
8
Geoboards
10
Meter Sticks, dual scale
1
Number Line (35–180)
2 sets
Pattern Blocks
1 per student
Pattern Block Template
1 pkg.
Rubber Bands (for geoboards)
1 per student
Ruler, 6-inch
1 per student
Slate (chalk or marker board)
2
Stamp Pads
1 pkg. (500)
Straws
15
Tape Measures, retractable
1
Thermometer (ºF and ºC)
1 per student
Tool-Kit Bag*
All of the above items are available from Everyday Learning
Corporation. They may be purchased either as a comprehensive
classroom manipulative kit or by individual components. The
Everyday Learning classroom kit provides appropriate quantities
for a class of 25 and comes packaged in durable plastic tubs
with labels.
*Calculators and tool-kit bags available from Everyday Learning Corporation
for individual purchase only.
xxviii
Introduction
Instruction
The following sections introduce instructional methods and
suggestions for successful Everyday Mathematics implementation.
Teachers are encouraged to read these pages and refer to them
as needed throughout the school year.
Daily Routines
50
Children learn a great deal of mathematics through daily routines
that they perform independently and with the class. These daily
activities may include tracking attendance, calendar, weather,
temperature, and choral counting. Numerous mathematical
concepts are reinforced on a daily basis and help children become
aware of how mathematics pervades our everyday lives.
Most of the daily routines in First Grade Everyday Mathematics
are introduced within the lessons of Unit 1 and should be
maintained throughout the school year. Refer to Unit 1 lessons
and the Management Guide of the Teacher’s Reference Manual
for more information.
Program Routines
Everyday Mathematics uses a number of program routines that
are incorporated throughout all grade levels. These allow for
ongoing developmental practice in a number of skill and content
areas. Below is a list of the routines you will encounter in First
Grade Everyday Mathematics. The unit and lesson in which each
routine is first used have been noted. Refer to the Management
Guide in the Teacher’s Reference Manual for more information.
23
94
five
XXXXX
////\
30
Mental Math and Reflexes (Unit 1, Lesson 1)
Games (Unit 1, Lesson 3)
*Home Links (Unit 1, Lesson 8)
Math Boxes (Unit 2, Lesson 3)
Frames and Arrows (Unit 3, Lesson 8)
Math Message (Unit 4, Lesson 1)
* “What’s My Rule?”/Function Machines (Unit 5, Lesson 12)
Name Collection Boxes (Unit 6, Lesson 2)
Fact Triangles/Fact Families (Unit 6, Lesson 4)
*Routine used in Kindergarten Everyday Mathematics
Introduction
xxix
Explorations
You will find an Explorations lesson in virtually every unit in First
Grade Everyday Mathematics. The term “Exploration” is used to
indicate independent, small-group activities that are informal and
open-ended. The Explorations have been designed so that you can
position the various activities at different stations around the room
and have small groups rotate among them.
Each Explorations lesson suggests three exploratory activities, with
the option of adding other familiar activities as desired. In each set
of activities, Exploration A contains the main content of the lesson
and requires the most teacher facilitation, especially at the outset.
Explorations are not intended as optional activities for students
to do when they have finished their other work. Be sure to set
aside enough class time so that all students can experience the
Explorations. They provide critical initial exposure to content
that is developed later in Everyday Mathematics.
Refer to the Management Guide in the Teacher’s Lesson Manual
for more information.
Projects
The projects outlined in this program cover an array of mathematics
activities and concepts, and are built around various themes that
interest children. Projects also incorporate science, social studies,
art and language arts skills. Projects are suggested in Unit
Organizers in the Teacher’s Lesson Guide at appropriate times
throughout the year. They typically take one to two days to
complete, depending upon how many of the suggested activities
you incorporate. This time is well spent as it allows the teacher
to assess the students’ abilities in mathematics applications and
in cross-curricular skills. They also are memorable events for
children.
Refer to the Management Guide in the Teacher’s Reference Manual
and Unit Organizers in the Teacher’s Lesson Guide for more
information.
xxx
Introduction
Assessment
Everyday Mathematics encourages a balanced approach to
student assessment, one that reveals the development of a child’s
mathematical understanding while giving the teacher useful
feedback about instructional needs. They also provide information
and documentation to help assign grades.
Refer to the Assessment Handbook and the Unit Organizers in the
Teacher’s Lesson Guide for detailed information regarding ongoing,
product, and periodic assessment.
Providing for Home-School Connections
Comprehensive and consistent home-school communication
regarding program content, routines, and student assessment is
essential for successful implementation. Everyday Mathematics
provides a number of support materials to facilitate this
communication. The Home Connection Handbook is a tool that
can help you introduce parents and primary caregivers to the
Everyday Mathematics curriculum. Grade specific Family
Letters and Home Links serve as a basis for ongoing
communication as well as a vehicle to engage parents as
partners in the learning process. Individual assessment
checklists enable teachers to describe in detail the
developmental progress of each child. They are a valuable
communication tool during conferences.
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Introduction
xxxi
K–3 Games Correlation Chart
Addition Card Draw
Addition Spin
Addition Top-It
Addition Top-It with Dominoes
Angle Race
Animal Weight Top-It
Array Bingo
Attribute Rule Game
Attribute Train Game
Base-10 Exchange
Baseball Multiplication
Basketball Addition
Beat the Calculator
Before and After
The Block-Drawing Game
Broken Calculator
Buyer and Vendor Game
Class Clock Game
Clock Concentration
Coin-Dice
Coin Exchange
Coin Top-It
Concentration with Number
Cards & Dominoes
Dice-Roll and Tally Game
Difference Game
Digit Discovery
Digit Game
Dime-Nickel-Penny Grab
Disappearing Train
Division Arrays
Division Coin-Drop
Dollar Rummy
Domino Top-It
Double-Digit Dice Game
Equivalent Fractions Game
Fact Power Game
Fact Triangle Flip
Factor Bingo
Fraction Top-It
Guess the Rule
High Roller
Hit the Target
Less Than You!
Magic Bag Game
Making Change
Matching Coin Game
Memory Addition/Subtraction
Missing Terms
Money Exchange Game
Monster Squeeze Game
6.1
12.5
4.2
1.4
2.5
1.4
6.9
5.5
7.2
8.4
6.10
7.2
7.2
9.6
4.7
5.11
3.1
10.3
194
3.12
6.10
2.10
7.4
2.2
1.10
3.8
1.3
5.1
1.8
11.6
❋
1.9
1.4
1.4
89
1.8
5.7
267
5.1
3.12
1.5
1.12
3.2
217
4.3
3.4
3.14
268
8.5
8.4
8.6
4.6
9.6
8.5
6.4
297
7.2
2.12
7.3
1.3
5.10
3.8
40
10.9
❋
1.6
84
Number indicates first exposure at grade level. *Available in the Games section of the Student Reference Book
xxxii Introduction
Pro
ba
bil
ity
Ca
lcu
lat
or
Tim
e
Grade 3
Lesson
ey
Grade 2
Lesson
y
Grade 1
Lesson
Mo
n
K
Title Page #
Ge
om
etr
Game
Nu
me
rat
ion
Me
nta
lM
ath
Ba
sic
Fac
ts
Op
era
tio
ns
Pa
tte
rns
Skill and Concept Areas
Multiplication Bingo
Multiplication Coin-Drop
Multiplication Draw
Multiplication Top-It
Musical Name-Collection Boxes
Name That Number
Nickel/Penny Grab
Number-Grid Game
Number-Line Squeeze*
Number Top-It
One-Dollar Exchange
One-Dollar Game
$1, $10, $100 Exchange Game
Ones, Tens, Hundreds Game
Paper Money Exchange Game
Penny Cup
Penny-Dice Game
Penny-Dime Exchange
Penny-Drop Addition
Penny Grab
Penny Guessing
Penny-Nickel Exchange
Penny-Nickel-Dime Exchange
Pick-a-Coin
Pin the Number (Number Grid)
Plus or Minus Game
Pocket Game
Prize Time
Raft Game
Robot Game
Rolling for 50
Scissors, Paper, Stone
Secret Number
Shaker Addition Top-It
Shopping
Spin a Number (1–10)
Spinning for Money
Spinning to Win
Stand Up If…
Subtraction Top-It
Tens-and-Ones Trading Game
3, 2, 1 Game
Three Addends
Tic-Tac-Toe Addition
Time Match
Top-It
Touch-and-Match Quadrangles
Turn-Around Facts Game
Two-Fisted Penny Addition
“Who Am I Thinking Of?”
“What's My Rule?” Fishing
“What's My Attribute Rule?”
Pro
ba
bil
ity
Ca
lcu
lat
or
Tim
e
Grade 3
Lesson
ey
Grade 2
Lesson
y
Grade 1
Lesson
Mo
n
K
Title Page #
Ge
om
etr
Game
Nu
me
rat
ion
Me
nta
lM
ath
Ba
sic
Fac
ts
Op
era
tio
ns
Pa
tte
rns
Skill and Concept Areas
7.3
11.5
12.8
2.9
216
2.11
9.2
1.2
❋
10.5
1.6
1.11
5.2
8.2
266
10.3
295
292
2.8
1.3
1.7
5.8
2.11
2.8
2.9
2.10
5.13
216
227
201
5.6
6.2
2.6
10.3
1.11
❋
3.3
221
6.3
2.1
1.8
5.3
4.12
4.6
80
3.2
11.5
7.7
3.6
5.3
8.5
170
10.4
4.4
1.6
99
5.10
2.3
7.1
7.1
6.1
2.3
2.9
1.11
5.6
6.5
1.7
2.4
2.11
2.3
5.1
Introduction xxxiii