1. This chapter introduces sizes, lengths, heights, and patterns. Objects can be compared as bigger or smaller, taller or shorter, longest or shortest. 2. Patterns can be single, double, triple, or complex depending on the number of objects that repeat. Repeating shapes, figures, colors, or designs create patterns. 3. Exercises provide practice identifying sizes, lengths, heights, and patterns. Students compare, arrange, identify, draw, and complete patterns of objects.

1. 1
Math for Smart Kids

2. Math for Smart Kids
Grade 1
Textbook
Philippine Copyright 2010 by DIWA LEARNING SYSTEMS INC
All rights reserved. Printed in the Philippines
Editorial, design, and layout by University Press of First Asia
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The Editorial Board
Authors
Dr. Estrella P. Mercado finished her PhD in Educational Management (with honor) and MA in Education at Manuel
L. Quezon University. She also holds an MEd in Special Education degree and a BS in Elementary Education degree
from the Philippine Normal University (PNU). She has been a classroom teacher, an Education supervisor, and
assistant chief of the Elementary Division of the Department of Education, Culture and Sports (DECS-NCR). She was
awarded as Outstanding Female Educator in 1998 by the Filipino Chinese Women Federation. She presently heads the
Special Education Department at PNU.
Jasmin Iris F. Sallegue graduated cum laude from PNU with a degree in Bachelor of Secondary Education major
in Mathematics. She is currently a grade school Mathematics teacher at De La Salle Santiago Zobel School in Ayala
Alabang. She has trained students of De La Salle Santiago Zobel School for various mathematics competitions, like
the annual Metrobank-MTAP-DepEd Math competition. She is a member of the Mathematics Teachers Association
of the Philippines (MTAP).
Consultant-Reviewer
Luzviminda M. Sibbaluca holds a master’s degree in Mathematics Education and a bachelor’s degree in Elementary
Mathematics Education (cum laude) both from the University of the Philippines-Diliman. She is one of the top ten
successful examinees of the Licensure Examination for Teachers (LET) for Elementary in 2003. She is currently an
assistant professor at the Mathematics Department of the University of the Philippines Integrated School (UPIS).

3. Preface
Math for Smart Kids is a series of textbooks in Mathematics for
grade school, which is designed to help pupils develop appreciation
and love for mathematics. This series also aims to help the learners
acquire the skills they need to become computationally literate.
The lessons in each textbook present mathematics concepts and
principles that are anchored on the competencies prescribed by the
Department of Education. Each lesson starts with Let’s Do Math,
where mathematics concepts and principles are introduced through
problems, stories, games, or puzzles. This section is followed by Let’s
Look Back, which lists questions that will help the pupils to think
critically on what has been introduced in the lesson and will allow
them to discover things on their own. For easy recall of important
points or concepts taken up in a lesson, the section Let’s Remember
Our Learning has been included. Multilevel exercises are provided in
Let’s Practice and Let’s Test Our Learning that will assess how much
the pupils have learned from the lesson. The exercises will also
determine if the pupils are ready to learn new mathematics skills. The
development of the multiple intelligences of an individual is reflected
in the different activities that the pupils will perform—from concrete
to semi-concrete, and from semi-abstract to abstract kind of learning.
Situations and real-life problems are provided in Let’s Look Forward to
give the pupils opportunities to apply what they have learned to their
daily life experiences.
This series of textbooks gives the learners the opportunity to
explore and enjoy Mathematics. Let’s have fun learning together!
The Authors

4. Table of Contents
Unit 1 Whole Numbers and Beyond
Chapter 1 Sizes, Lengths, and Patterns
Lesson 1 Sizes of Objects................................................... 2
2 Lengths and Heights of Objects ........................... 6
3 Patterns ........................................................... 11
Chapter 2 Sets and Whole Numbers
Lesson 1 Numbers 0 to 100 ............................................. 16
2 Comparing Sets and Numbers Up to 100 ........... 20
3 Ordering Sets and Numbers Up to 100 .............. 24
4 Reading and Writing Numbers Up to 100 .......... 30
5 Ordinal Numbers.............................................. 35
6 Place Values Up to Thousands .......................... 39
7 Reading and Writing Numbers Up
to Thousands .................................................... 42
8 Comparing and Ordering Numbers Up
to Thousands .................................................... 48
9 Skip Counting through Hundreds ...................... 52
10 Philippine Coins and Bills ................................. 56
Unit 2 Operations on Whole Numbers
Chapter 3 Addition and Subtraction of Whole Numbers
Lesson 1 Adding One-digit Numbers ............................... 62
2 Properties of Addition ....................................... 68
3 Adding Two-digit Numbers ............................... 74
4 Adding Three-digit Numbers............................. 78

5. 5 Adding Whole Numbers with Sums Up
to Thousands .................................................... 83
6 Solving Word Problems on Addition
of Whole Numbers ........................................... 88
7 Subtracting One- to Two-digit Numbers ............ 92
8 Subtracting Three-digit Numbers ...................... 96
9 Subtracting Four-digit Numbers .......................101
10 Solving Word Problems on Subtraction
of Whole Numbers ..........................................105
11 Solving Two-step Word Problems ....................111
Chapter 4 Multiplication and Division
of Whole Numbers
Lesson 1 Understanding Multiplication ..........................116
2 Multiplying Numbers by 0, 1, and 2.................122
3 Multiplying Numbers by 3, 4, 5, and 10 ...........126
4 Understanding Division ...................................131
5 Dividing Numbers by 1, 2, and 3 .....................137
6 Dividing Numbers by 4, 5, and 10 ...................141
Unit 3 Fractions and Geometry
Chapter 5 Fractions
Lesson 1 Parts of a Whole ..............................................146
2 Parts of a Set ...................................................152
3 More on Parts of a Whole ................................157
4 More on Parts of a Set......................................161
5 More on Fractions  1 and 1  .......................168
9 10 
6 Fractional Part of a Set.....................................173
7 Comparing Fractions .......................................178

6. Chapter 6 Geometry
Lesson 1 Points, Lines, and Plane Figures .......................184
2 Polygons and Circles........................................189
3 Symmetry ........................................................194
4 Solid or Space Figures ......................................197
Unit 4 Measurement, Time, and Graphs
Chapter 7 Measurement
Lesson 1 Nonstandard Units of Linear Measurement ......202
2 Standard Units of Linear Measurement ............205
3 Perimeter .........................................................210
4 Area ................................................................216
5 Area of a Rectangle and a Square .....................221
6 Mass ................................................................226
7 Capacity ..........................................................231
Chapter 8 Time
Lesson 1 Telling Time ....................................................237
2 More on Time Measurement ............................241
3 Days of the Week ............................................246
4 Months of the Year ..........................................249
Chapter 9 Graphs
Lesson 1 Pictograph .......................................................253
2 Collecting and Organizing Data ........................258
3 Making a Pictograph ........................................263
Bibliography ........................................................................266

7. Unit
1
Whole Numbers and
Beyond
kg

8. Chapter 1
Sizes, Lengths, and Patterns
Lesson 1 Sizes of Objects
The stuffed toys are arranged from smallest to biggest.
The balls are arranged from biggest to smallest.
1. Which is the biggest stuffed toy?
2. Which is the smallest ball?
Sizes of objects can be compared.
An object can be bigger or smaller than another object.
The teddy bear is bigger than the rabbit stuffed toy.
The golf ball is the smallest ball.
Math for Smart Kids 1

9. Objects come in different sizes.
Some objects are small while others are big.
Sizes of objects can be compared using the words bigger,
biggest, smaller, and smallest.
Objects can be arranged from smallest to biggest, or from
biggest to smallest.
A. Check the animals that are small. Circle the animals that are
big.
Whole Numbers and Beyond

10. B. Compare the animal on the left with that on the right. Circle
the correct word.
1. bigger
smaller
2. bigger
smaller
bigger
3.
smaller
Draw a star () on the blank space if the objects are
arranged correctly.
_______ 1. smallest to biggest
_______ 2. biggest to smallest
Math for Smart Kids 1

11. Color the object being described.
1. smaller shoe
2. bigger animal
3. biggest bird
4. smallest hand
Whole Numbers and Beyond

12. Lesson 2 Lengths and Heights of Objects
Look at the family. What can you say
about their heights?
1. Who is the tallest in the family?
2. Who is the shortest in the family?
3. Who is taller, the father or the mother?
Objects can be arranged from shortest to longest.
Objects can be arranged from longest to shortest.
Math for Smart Kids 1

13. Objects can be arranged from shortest to tallest.
Objects come in different heights and lengths.
Objects can be arranged from shortest to tallest, tallest to
shortest, shortest to longest, or longest to shortest.
A. Check the tall and long objects. Cross out the short object.
Whole Numbers and Beyond

14. B. Arrange the objects correctly. Write the numbers 1 to 3
(1—tallest or longest, 3—shortest) on the blank spaces.
1. shortest to tallest
_____________ _____________ _____________
2. shortest to longest
_____________ _____________ _____________
3. tallest to shortest
_____________ _____________ _____________
Name and draw the tallest and longest objects you can find
in your school ground. Do this in your notebook.
Math for Smart Kids 1

15. A. Study each set of pictures. Answer the question by putting a
check (P) on the correct picture.
1. Which vehicle is the longest?
2. Which building is the tallest?
3. Which animal is the tallest?
Whole Numbers and Beyond

16. 4. Which hair is shorter?
5. Which skirt is shorter?
B. Identify the following pupils in your class. Write their
names on the blank spaces.
1. tallest pupil in your class __________________________
2. shortest pupil in your class __________________________
3. pupil with the shortest hair __________________________
4. pupil with the longest hair __________________________
10 Math for Smart Kids 1

17. Lesson 3 Patterns
Study these different patterns.
Single pattern
Double pattern
Triple pattern
Complex pattern
1. How many objects repeat in a single pattern? in a double
pattern? in a triple pattern?
2. How many objects repeat in a complex pattern?
Whole Numbers and Beyond 11

18. Here are more examples of different patterns:
Single pattern
Double pattern
Triple pattern
Complex pattern
Repeating shapes, figures, colors, or designs create
patterns. Patterns can be described as single, double, triple,
or complex.
1 Math for Smart Kids 1

19. Study each pattern. Identify whether the pattern is single,
double, triple, or complex. Write the answer in the blank.
1.
___________________________
2.
___________________________
3.
___________________________
4.
___________________________
5.
___________________________
Whole Numbers and Beyond 1

20. Go around the school and look for patterns in some objects.
Draw the pattern that you like best on a clean sheet of paper.
Then identify it as a single, double, triple, or complex pattern.
A. Draw the missing object in each pattern. Then write on the
blank space if the pattern is single, double, triple, or complex.
_____________ 1.
______
_____________ 2. ______
_____________ 3.
___________
_____________ 4. _____
_____________ 5. _____
1 Math for Smart Kids 1

21. B. Complete the pattern. Draw the missing object in the
pattern.
1.
______
2. _____
3.
______
4.
______
5.
______
Whole Numbers and Beyond 1