©L
earning Resources, Inc., Vernon Hills, IL (U.S.A.)
Learning Resources Ltd., King’s Lynn, Norfolk (U.K.)
All rights reserved. This book is copyrighted. No part of this book may be reproduced, stored in a retrieval
system, or transmitted, in any form or by means electronic, mechanical, photocopying, recording, or
otherwise, without written permission, except for the specific permission stated below.
Each blackline master or activity page is intended for reproduction in quantities sufficient for classroom use.
Permission is granted to the purchaser to reproduce each blackline master or activity page in quantities
suitable for noncommercial classroom use.
ISBN 978-1-56911-278-6
Printed in China.
ENCYCLOPEDIA OF
Math
Blackline Masters
V E R N O N H I L L S • K I N G ’ S LY N N
Introduction
The Encyclopedia of Math Blackline Masters is a convenient, ready-to-use compilation of graphic
organizing tools specifically for mathematical concept development. Each page is arranged for easy
reproduction as worksheets or overhead transparencies. Tabs are used to categorize these visual tools
into five sections for quick location. The graphic organizers within each tab include:
< Numbers and Operations
< Fractions, Decimals, and Money
< Measurement
< Algebra and Geometry
< Data Analysis and Probability
Unlike other tools, graphic organizers are flexible and can be utilized for more than one purpose.
Teachers can easily incorporate these blackline masters into instructional activities to generate visual
aids and worksheets throughout the process. Graphic organizers make great assessment tools to check
for student understanding and to quickly identify misunderstandings. The versatility of the Encyclopedia
of Math Blackline Masters offers endless possibilities for instruction, activities and projects.
Research-based practice relies on graphic organizers as powerful tools to help students organize
and extend their thinking throughout the learning process. Capturing your students’ thinking process
and providing them with visual tools to facilitate student understanding is what the Encyclopedia of
Math Blackline Masters is all about.
ii
Table of Contents
Numbers and Operations
Whole Numbers
Place Values for 1’s, 10’s and 100’s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Comparing Base 10 - 1’s, 10’s and 100’s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Place Values for 1’s, 10’s, 100’s and 1,000’s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Place Values for 1’s, 10’s, 100’s, 1,000’s, and 10,000’s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Place Values for 1’s, 10’s, 100’s, 1,000’s, 10,000’s and 100,000’s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Place Values for 1’s, 10’s, 100’s, 1,000’s, 10,000’s, 100,000’s and 1,000,000’s. . . . . . . . . . . . . . . . . . . . . . . . . . . 6
General Place Value Chart - Blank. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Expanded Notation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Whole Number Operations
Base Ten: Addition/Subtraction with 1’s and 10’s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Check Value. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Base Ten: 1’s, 10’s and 100’s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
1-100 Number Board. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Multiplication Table: 100 Facts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Multiplication Table: 144 Facts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Multiplication Table: 10 x 10 – Blank . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
Symbol Representation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
Fractions, Decimals, and Money
Concepts of Fractions
Six-Unit Rectangles to Model Fractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
Fractions Using Rectangular Area (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/9, 1/10, 1/12 and 1/16) . . . . . . . . . . . . . . . . . . . 18
Unit Fraction Models (2). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Six-Unit Fraction Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Fractions Using Circular Area (1/12, 1/8, 1/6, 1/4, 1/3 and 1/2). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Modeling Equivalent Fractions with Area (1/2, 2/4, 3/6, and 4/8) - Marked. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Modeling Equivalent Fractions with Area (1/2, 2/4, 3/6, and 4/8) - Unmarked. . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Modeling Fractions with Line Segments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
Fraction Comparisons with Circumference and Area of a Circle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
Fraction Comparisons as Groups (25 Pennies as the Whole). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Fraction Comparisons as Groups (50 Pennies as the Whole). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
Fraction Comparisons as Groups (100 Pennies as the Whole). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
Money
Pennies and Nickels. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
Pennies and Dimes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
Pennies, Nickels and Dimes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
Pennies, Nickels, Dimes and Quarters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
Pennies, Nickels, Dimes, Quarters and Half Dollars. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Dimes, Quarters, Half Dollars, and One Dollar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
Pennies, Dimes and Dollars. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
Pennies, Nickels, Dimes, Quarters, $1, $5 and $10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
Canadian Pennies and Nickels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
Canadian Pennies and Dimes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
Canadian Pennies, Nickels and Dimes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Canadian Pennies, Nickels, Dimes and Quarters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
iii
© Learning Resources, Inc.
Name:
2
Comparing Base 10 – 1’s, 10’s and 100’s
Name:
© Learning Resources, Inc.
Fractions Using Circular Area (1/2, 1/3, 1/4, 1/6, 1/8 and 1/12)
21
© Learning Resources, Inc.
Name:
70
Units, 10ths, 100ths and 1,000ths Grids
LACKLINE0-0AGE
Name:
ML
CUPS
ML
CUPS
ML
CUP
© Learning Resources, Inc.
ML
CUPS
132 Quart and Liter – Marked for oz. and ml
Name:
© Learning Resources, Inc.
Quadrant Coordinate Graph X: -10 to 10, Y: -14 to 14 (1/4” squares) 161