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Assessment For The California Mathematics Standards Grade 1 GRADE ONE By the end of grade one, students learn to understand and use the concept of Homework Practice Problem Solving Practice Workbook, Grade 1 Printed in the Resource Masters for California Mathematics, Grade 1

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- MI CUADERNO DE ESCRITURA
- FICHAS DE LETRAS
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- nia Mathematics-Grade 1-SE

Description

Volume 1 Authors Altieri • Balka • Day • Gonsalves • Grace • Krulik Malloy • Molix-Bailey • Moseley • Mowry • Myren Price • Reynosa • Santa Cruz • Silbey • Vielhaber

- interactive student edition

About the Cover California Focus The orange is the most common fruit tree in the world

California,

is on the lookout for crops damaged by freezing temperatures

Mathematics Focus Plane shapes and solid shapes are featured topics in First Grade

Copyright © 2009 by The McGraw-Hill Companies,

no part of this publication may be reproduced or distributed in any form or by any means,

or stored in a database or retrieval system,

without prior permission of the publisher

OH 43240-4027 Volume 1 ISBN: 978-0-02-105703-0 MHID: 0-02-105703-6 Printed in the United States of America

- 1 2 3 4 5 6 7 8 9 10 073/055 16 15 14 13 12 11 10 09 08 07

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Patterns and Number Sense

Chapter 4

Subtraction Strategies to 12

Chapter 7

Chapter 10

Addition and Subtraction Strategies to 20

Place Value

Roger Day,

Indiana

Philip D

Gonsalves Mathematics Coordinator Alameda County Office of Education and California State University East Bay Hayward,

New Mexico

Mathematics Consultant Cherry Hill,

Assistant Professor of Mathematics Education University of North Carolina at Chapel Hill Chapel Hill,

Molix-Bailey Lois Gordon Moseley

Brian Mowry

Independent Math Educational Consultant/Part-Time Pre-K Instructional Specialist Austin Independent School District Austin,

Staff Developer NUMBERS: Mathematics Professional Development Houston,

- gr1math

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Christina L

Jack Price

Professor Emeritus California State Polytechnic University Pomona,

California

Instructional Specialist for Elementary Mathematics Northside Independent School District San Antonio,

a division of The McGraw-Hill Companies,

SDSU/CGU Doctoral Math Content Coach Program in Education Montgomery County San Diego State University Public Schools San Diego,

Maryland

Kathleen Vielhaber Mathematics Consultant St

Missouri

Contributing Authors

Dinah Zike Educational Consultant Dinah-Might Activities,

California Mathematics Advisory Board Macmillian/McGraw-Hill wishes to thank the following professionals for their invaluable feedback during the development of the program

They reviewed a variety of instructional materials at different stages of development

David J

Chamberlain Secondary Mathematics Resource Teacher Capistrano Unified School District San Juan Capistrano,

California

Carol Cronk Mathematics Program Specialist San Bernardino City Unified School District San Bernardino,

California

Grant A

Professor of Mathematics California State University,

Los Angeles Los Angeles,

California

a division of The McGraw-Hill Companies,

Cheryl L

a division of The McGraw-Hill Companies,

California

John McGuire Associate Principal Pacific Union School Arcata,

Price Teacher,

James Mathematics Teacher Sunny Hills High School Fullerton,

Arthur K

Long Beach Long Beach,

California

California

California

They were instrumental in providing valuable input toward the development of this program in these specific areas

Family Involvement

Viken Hovsepian Professor of Mathematics Rio Hondo College Whittier,

Fraser,

Los Angeles Los Angeles,

California Arthur K

Long Beach Long Beach,

Paul Giganti,

Assessment Jane D

California

Literature David M

Schwartz Children’s Author,

Storyteller Oakland,

California

Vertical Alignment Berchie Holliday National Educational Consultant Silver Spring,

Maryland Deborah A

Hutchens,

Virginia

Empson Associate Professor of Mathematics and Science Education University of Texas at Austin Austin,

English Learners

a division of The McGraw-Hill Companies,

California Kathryn Heinze Graduate School of Education Hamline University St

California Reviewers Each California Reviewer reviewed at least two chapters of the Student Edition,

giving feedback and suggestions for improving the effectiveness of the mathematics instruction

California

California

Ysaaca Axelrod Kindergarten Teacher El Monte Elementary Concord,

California

California

Cathy Bullock Teacher Capri Elementary Encinitas,

California

- (retired 6/2006) Fremont,

California

California

Karen E

California

Olivia Campos 4th Grade Teacher Morrison Elementary Norwalk,

California

a division of The McGraw-Hill Companies,

Edwards 5th Grade Classroom Teacher David Reese Elementary Sacramento,

California Dr

Price Teacher,

Adjunct Professor Rowland Unified School District Rowland Heights,

Schwartz First Grade Teacher Lincrest Elementary School Yuba City,

California

California Marie W

Trowbridge Teacher Evergreen Elementary San Jose,

Vandemoortel Educator Alderwood Basics Plus School Irvine,

California Dr

Darlene York Education Consultant Associate Professor Antioch University Seattle,

- : Color Pattern
- 2 Number Sense: Zoo Animals
- 3 Algebra and Functions: Poppy
- 5 Measurement: Giant Trees
- 7 Geometry: Sand Castles
- 9 Statistics,

and Probability: Huntington Beach

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

- 14 Family Letter

Algebra

- 1 7 Create a Pattern

- 19 Find a Pattern

Algebra

- 23 Numbers 11 to 15
- 27 Numbers 16 to 20
- 29 Mid-Chapter Check/Spiral Review
- 7 Choose a Strategy

Compare Numbers

Algebra

- 35 Extra Practice
- 37 The Bigger the Better

a division of The McGraw-Hill Companies,

- 41 Chapter Review/ Test
- 43 California Standards Practice
- 45 = Hands-On Activity

- 48 Family Letter

- 5 1 Modeling Addition
- 53 Addition Sentences

- 55 Extra Practice
- 57 Snack Time

Algebra

- 59 Write a Number Sentence

- 6 1 Mid-Chapter Check/Spiral Review

6 7 8 9

- 65 Ways to Make 7,
- 67 Ways to Make 10,
- 69 Choose a Strategy
- 73 Vertical Addition
- 77 Chapter Review/ Test
- 79 California Standards Practice

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

- 84 Family Letter

Subtraction Stories

- 87 Modeling Subtraction
- 89 Subtraction Sentences

- 91 Extra Practice
- 93 Subtracting to Swim

Subtract Zero and All

- 95 Draw a Picture
- 97 Mid-Chapter Check/Spiral Review

Subtract from 4,

- 101 Subtract from 7,
- 103 Choose a Strategy

a division of The McGraw-Hill Companies,

Subtract from 10,

- 107 Vertical Subtraction
- 1 13 Chapter Review/ Test
- 1 15 California Standards Practice
- = Hands-On Activity

104 88,

Data and Graphs Are You Ready for Chapter 4

- 120 Family Letter

- 123 Picture Graphs
- 125 Make a Table

Tally Charts

- 129 Mid-Chapter Check/Spiral Review

Read a Bar Graph

- 133 Extra Practice
- 135 Animal Race

- 137 Choose a Strategy

- 141 Chapter Review/ Test

126 130

a division of The McGraw-Hill Companies,

- 148 Family Letter

Add in Any Order

- 151 Count On 1,
- 153 Extra Practice
- 155 All Mixed Up
- 3 Act It Out
- 159 Use a Number Line to Add
- 161 Mid-Chapter Check/Spiral Review

- 165 Doubles Plus 1
- 167 Choose a Strategy

a division of The McGraw-Hill Companies,

Chapter Review/ Test

- 173 California Standards Practice
- 175 = Hands-On Activity

168 154

- 178 Family Letter

Count Back 1,

- 181 Write a Number Sentence

Use a Number Line to Subtract

- 185 Mid-Chapter Check/Spiral Review
- 4 Choose a Strategy

- 191 Relate Addition to Subtraction

- 193 Fact Families

- 195 Extra Practice
- 197 Related or Not
- 199 Chapter Review/ Test

194 192

a division of The McGraw-Hill Companies,

- 206 Family Letter

1 2 3 4

- 209 Time to the Hour
- 2 1 1 Time to the Half Hour
- 2 1 3 Make a Table
- 2 1 5 Mid-Chapter Check/Spiral Review

- 2 1 9 Relate Time and Events
- 223 Extra Practice
- 225 Switch It
- 7 Choose a Strategy
- 229 Chapter Review/ Test
- 2 3 1 Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

- 233 = Hands-On Activity

212 214

- 236 Family Letter

- 239 Counting by Tens
- 241 Use Logical Reasoning

Hundred Chart

- 245 Mid-Chapter Check/Spiral Review

Estimating With Groups of Tens

- 251 Choose a Strategy

- and 10s

- 255 Skip Counting on a Hundred Chart

Algebra

- 257 Extra Practice
- 259 Slide Through the Digits
- 261 California Standards Practice

Higher Order Thinking 240,

256 242,

250 248

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Chapter Review/ Test

Measurement Are You Ready for Chapter 9

- 268 Family Letter

- 27 1 Nonstandard Units of Length
- 273 Guess and Check
- 275 Extra Practice
- 277 Busy Beavers
- 278 Mid-Chapter Check/Spiral Review

Explore Weight

- 281 Choose a Strategy

- 285 Explore Volume
- 287 Nonstandard Units of Volume

a division of The McGraw-Hill Companies,

- 293 California Standards Practice
- 295 = Hands-On Activity

Higher Order Thinking 272 274,

288 286

- 298 Family Letter

- 301 Doubles Plus 1
- 303 Extra Practice
- 305 Circle Up

Make 10 to Add

- 307 Write a Number Sentence

Algebra

- 31 1 Mid-Chapter Check/Spiral Review

Use Doubles to Subtract

- 315 Relate Addition and Subtraction

- 317 Choose a Strategy

- 319 Fact Families

Algebra

- 321 Ways to Name Numbers
- 325 Chapter Review/ Test
- 327 California Standards Practice

Higher Order Thinking 308,

312 302,

318 322

a division of The McGraw-Hill Companies,

Money Are You Ready for Chapter 11

- 332 Family Letter

1 2 3 4 5

- 335 Pennies and Dimes
- 337 Pennies,

- and Dimes
- 339 Counting Money
- 341 Act It Out
- 343 Mid-Chapter Check/Spiral Review

- 347 Quarters
- 349 Choose a Strategy

Money Amounts

- 353 Extra Practice
- 355 Who Has More

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

- 357 Chapter Review/ Test
- 359 California Standards Practice
- 361 = Hands-On Activity

354 348

Geometry Are You Ready for Chapter 12

- 364 Family Letter

- 367 Faces and Corners
- 369 Extra Practice
- 371 Corners

Relate Solid Shapes to Plane Shapes

- 373 Plane Shapes
- 375 Use Logical Reasoning
- 377 Mid-Chapter Check/Spiral Review

Position

- 381 Give and Follow Directions

- 385 Choose a Strategy
- 387 Chapter Review/ Test
- 391 California Standards Practice

384 368

a division of The McGraw-Hill Companies,

- 396 Family Letter
- 399 Tens and Ones
- 403 Extra Practice
- 405 Lizzie the Lizard
- 3 Guess and Check

Algebra

- 409 Numbers to 100
- 41 3 Mid-Chapter Check/Spiral Review

- 419 Choose a Strategy

- 423 Order Numbers to 100

Algebra

a division of The McGraw-Hill Companies,

- 427 Chapter Review/ Test
- 429 California Standards Practice
- 431 = Hands-On Activity

426 404

- 434 Family Letter

Add and Subtract Tens

- 437 Add with Two-Digit Numbers
- 439 Guess and Check

Add Two-Digit Numbers

- 443 Extra Practice
- 445 Adding Colors

- 447 Mid-Chapter Check/Spiral Review

- 451 Subtract Two-Digit Numbers
- 453 Choose a Strategy

Estimate Differences

- 457 Chapter Review/Test
- 461 California Standards Practice

Higher Order Thinking 440 444,

454 458

a division of The McGraw-Hill Companies,

CA3 Practice by Standard: Algebra and Functions

Data Analysis,

- and Probability

Equal Parts

a division of The McGraw-Hill Companies,

- 469 One Third and One Fourth

471 Inches

- 473 Centimeters
- 475 Numbers Through 500

Higher Order Thinking 472 468,

478 470

R3 Photo Credits

R27 Facts Practice

R29 WorkMat 1: Ten-Frame WorkMat 2: Ten-Frames WorkMat 3: Part-Part-Whole WorkMat 4: Number Lines WorkMat 5: Number Lines WorkMat 6: Grid WorkMat 7: Tens and Ones Chart WorkMat 8: Hundreds,

- and Ones Chart

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

- 2 Number Sense
- 3 Algebra and Functions
- 5 Measurement

7 Geometry

- 9 Statistics,

- and Probability

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

- 2 Garry Black/Masterfile

Number Sense

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Write how many

- 3 (tc cl)AP Images,
- (bl)Getty Images,
- (bl)Stockbyte,

(bcl)Tom Brakefield/Getty Images

Compare How Many Count

Write the number

- 4 (t c)Getty Images,
- (c)NHPA/Mark Bowler

a division of The McGraw-Hill Companies,

Sort the Flowers

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Draw a box around the blue flowers

April 6th is Poppy Day in California

5 (tc)J

(bc)Jan Castricum/FOTO NATURA/minden Pictures,

- (bc)Getty Images,

(bc)Rod Planck/Photo Researchers,

Look at the pictures

Tell one thing about them that is the same

- 6 (bc)Getty Images,

(bc)Rod Planck/Photo Researchers,

- (t)Jose B

(t)Perennou Nuridsany/Photo Researchers,

- (cl)Johner/Getty Images,
- (c b b)Stockbyte/PunchStock,
- (bcr)John Dunn/Getty Images

a division of The McGraw-Hill Companies,

a division of The McGraw-Hill Companies,

Circle the tallest one

- 7 (l)Robert Holmes/CORBIS,
- (bc bcr)Getty Images,

(br)Thomas Wiewandt/ChromoSohm Media Inc

/Photo Researchers Inc

Circle the object that is heavier

- 8 AP Images

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

a division of The McGraw-Hill Companies,

You have only 4 hours to build a sand castle at the Sand Castle Festival at Seal Beach,

9 Mark M

Look at the sand castle

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Statistics,

- and Probability

Huntington Beach is home to the longest pier in California

a division of The McGraw-Hill Companies,

Pier Activities

The pier on Huntington Beach,

At the pier,

- you can ride your bike,
- skateboard,
- and skate

What do you like to do

What do you like to do

- ? Ask 5 friends

- 11 Charles Benes/Index Stock Imagery

- ? Ask 5 friends

a division of The McGraw-Hill Companies,

Which activity got the most votes

- ? Circle your answer

a division of The McGraw-Hill Companies,

- number line

- thirteen

- gr1math

Use a 3

- to color the circle
- to color the square
- to color the triangle

- are in this group
- ? Circle the number
- fourteen

This page checks skills needed for Chapter 1

a division of The McGraw-Hill Companies,

How many

Dear Family,

Patterns and Number Sense

I will learn about patterns and numbers to 20

Here is an activity we can do and a list of books we can read together

Key Vocabulary Activity

of n sheets o 0 1 – 2 mbers r in a Write nu n the floo o m e th t t

Pu angemen r r a e e r th three by hild stand c'r u o y e Hav ay ber you s'm u n e th on to the and jump at comes number th u when yo before it ” say “Go

pattern pattern unit number line

Click on the eGlossary link at ca

- gr1math

a division of The McGraw-Hill Companies,

to find out more about these words

There are 13 languages

- ! by Stuart J

Murphy Harper Trophy,

! by Denise Fleming Henry Holt & Company,

Incorporated,

- fifteen
- (bl)Eclipse Studios,
- (tcr)Stockdisc/PunchStock,
- (tcr)Getty Images

aprenderé sobre patrones y los números hasta el 20

A continuación,

hay una actividad que podemos hacer y una lista de libros que podemos leer juntos

- d Activida
- 2 al eros del m ú n s'lo Escriban el

s'de pap ja o h n e 10 l's sobre e la n e u q Coló rreglo de a n u n e piso le es

Pídan tres por tr e (a) que s'a su hijo sobre el coloque s'ue ustede número q e salte al u q y n a dig ndo terior cua n a o r e m nú ra

!” an “¡Aho ig d's e d'te us

- gr1math

com para averiguar más sobre estas palabras,

las cuales se muestran en 13 idiomas

veinte ratones de Clare Beaton Barefoot Books,

- sixteen
- (bl)Eclipse Studios,
- (tcr)Stockdisc/PunchStock,
- (tcr)Getty Images

a division of The McGraw-Hill Companies,

- is the pattern unit

Orange,

- orange,
- blue is also a color pattern
- pattern pattern unit
- pattern unit
- pattern

Check Circle the pattern unit

- what could come next

a division of The McGraw-Hill Companies,

- ? Lesson 1
- seventeen

Remember

- what could come next

A pattern unit repeats over and over to make a pattern

a division of The McGraw-Hill Companies,

- eighteen

Create a Pattern Get Ready Mario is making a pattern

The pattern unit is three shapes long

It repeats over and over

a division of The McGraw-Hill Companies,

Make a pattern

Trace the pattern blocks

Explain how you would use sound to create a pattern

- nineteen

Remember

Then color

A pattern unit repeats over and over

Math at Home Activity: Draw two or three shapes

Ask your child to make a pattern using these shapes

a division of The McGraw-Hill Companies,

Luis used a pattern to make a bracelet

A bead fell off

- ? Circle the question

a division of The McGraw-Hill Companies,

Look Back Does my answer make sense

- twenty-one

LaToya used a pattern to make a necklace

Lucy was wearing a necklace

- twenty-two

Math at Home Activity: Make a pattern using small items such as beads or coins

Have your child find the pattern then extend the pattern using more objects

a division of The McGraw-Hill Companies,

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

- to show the number
- 3 Chapter 1

- twenty–three
- (tcr)Stockdisc/PunchStock,
- (tcr)Getty Images,
- (cr)2006 JUPITERIMAGES
- to show the number

5 Count

Write the number

How do you know which number to write

- twenty-four
- (tcr)Stockdisc/PunchStock,
- (tcr)Getty Images,
- (cr)2006 JUPITERIMAGES

zero one two three four five six seven eight nine ten

a division of The McGraw-Hill Companies,

- 0 1 2 3 4 5 6 7 8 9 10

A number tells how many

- 0 1 2 3 4 5 6 7 8 9 10

a division of The McGraw-Hill Companies,

Remember

zero one two three four five six seven eight nine ten

- twenty-five

(t to b 2 bl)Stockdisc/PunchStock,

- (3)PhotoAlto/PunchStock,
- (4 6)Getty Images,
- (5)Ryan McVay/Getty Images

Write these numbers in order from one to ten

Cable cars go up and down hills

You can hear them coming

- twenty-six

Math at Home Activity: Say a number between 0 and 10

a division of The McGraw-Hill Companies,

Main Idea I will count and write numbers 11 to 15

- thirteen
- fourteen
- fifteen

a division of The McGraw-Hill Companies,

Check Count

What is the same about these numbers: 11,

- ? Lesson 5
- twenty-seven

Practice Count

- 11 12 13 14 15

eleven twelve thirteen fourteen fifteen

- twenty-eight

(cl)Ken Cavanagh/The McGraw-Hill Companies,

- (cl)photolibrary
- com pty

Math at Home Activity: Say a number between 10 and 15

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

- sixteen
- seventeen
- eighteen
- nineteen

a division of The McGraw-Hill Companies,

- ? Lesson 6
- twenty-nine

Practice Count

- 16 17 18 19 20

sixteen seventeen eighteen nineteen twenty

(cl)Georgette Douwma/Imagestate,

- (cl)Getty Images

Have your child use pennies,

or other small objects to show the number

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

- that many objects

Name Circle the pattern unit

- what comes next

Write the number of objects you counted

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Draw the beads he needs

- thirty-one
- & Vikki Hart/Getty Images,
- (cr)Stockbye

- what comes next

Make a pattern

a division of The McGraw-Hill Companies,

- thirty-two
- (cl)Getty Images,

(bl)C Squared Studios/Getty Images,

- (bl)Stockdisc/PunchStock

Formative Assessment

Find where the yellow beads are

What do I need to find out

- ? Circle it

There are 2 of each color: red,

- yellow,
- and blue

I have 1 red in the front and 1 red in the back

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

How will I solve the problem

One way is to act it out

Look Back Does my answer make sense

- ? Chapter 1

Lesson 7

- thirty-three

33 Veer

How many stars did she use

• Act it out • Draw a picture • Find a pattern

- stars 2

- bracelets
- children 4

- thirty-four

- bedtime,
- doing laundry,
- putting away groceries,
- planning schedules,
- and so on

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Hugo and Mike play catch

- is greater than

- is less than is equal to
- 17 is less than
- 5 is equal to

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Think 4 cubes are more than 2 cubes

- 4 is greater than 2

Use to show each number

- 4 2 is greater than
- is less than
- is greater than 3

- is equal to 8
- is less than
- is equal to

Is 11 less than 12

- ? How do you know
- ? Lesson 8
- thirty-five

Compare

- is greater than
- is less than
- is equal to
- is greater than
- is less than
- is equal to
- is greater than
- is less than
- is equal to
- to solve
- is greater than
- is less than

Who has the most

- ? Who has the least
- thirty-six

Have your child give three numbers that are more than 15 and three numbers that are less than 15

a division of The McGraw-Hill Companies,

Circle the words

- is greater than
- is less than
- is greater than
- is less than
- is greater than

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

- is equal to
- 11 is less than
- is greater than
- is equal to
- is less than
- is greater than
- is equal to
- is equal to
- is less than

is equal to Art t/k: C01-81A-105703

- is greater than
- 8 is less than
- is equal to

The Bigger the Better Counting

- thirty-eight

Play with a partner

- roll again

Order Numbers Get Ready A number line shows numbers in order

- 17 comes just before 18
- 19 comes just after 18
- 18 comes between 17 and 19

- 19 is one more than 18 17 is one more than 18
- between

a division of The McGraw-Hill Companies,

Lesson 9

- thirty-nine

Write the missing number

Copyright © Macmillan/McGraw-Hill,

a division of The McGraw-Hill Companies,

Write the missing numbers

- ! everywhere

! This This coral coral snake snake has has aa pattern pattern on on it

a division of The McGraw-Hill Companies,

Circle the animal you think has more black stripes

F O LD D'O WN

! Can you find a pattern on the butterfly

a division of The McGraw-Hill Companies,

- pattern unit is 2

A a line with numbers on it

Concepts

a division of The McGraw-Hill Companies,

Draw the missing shape

Chapter 1

- forty-three

Write the name of the number