Math for Smart Kids1

Math for Smart Kids Grade 1Textbook

Philippine Copyright 2010 by DIWA LEARNING SYSTEMS INCAll rights reserved. Printed in the Philippines

Editorial, design, and layout by University Press of First Asia

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ISBN 978-971-46-0115-4

The Editorial BoardAuthorsDr. 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-ReviewerLuzviminda 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).

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

Table of Contents

Unit1 WholeNumbersandBeyond

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

Unit2 OperationsonWholeNumbers

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 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

Unit3 FractionsandGeometry

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 19

110and

.......................168

6 Fractional Part of a Set .....................................173 7 Comparing Fractions .......................................178

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,andGraphs

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

kg

Whole Numbers and Beyond 1

Unit

� MathforSmartKids1

The stuffed toys are arranged from smallest to biggest.

Lesson 1 Sizes of Objects

The balls are arranged from biggest to smallest.

1. Which is the biggest stuffed toy?2. Which is the smallest ball?

Sizes, Lengths, and Patterns

Chapter 1

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.

WholeNumbersandBeyond �

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.

� MathforSmartKids1

1.

B. Compare the animal on the left with that on the right. Circle the correct word.

bigger

smaller

bigger

smaller

bigger

smaller

2.

3.

Draw a star () on the blank space if the objects are arranged correctly.

_______ 1. smallest to biggest

_______ 2. biggest to smallest

WholeNumbersandBeyond �

2. bigger animal

3. biggest bird

4. smallest hand

Color the object being described.

1. smaller shoe

� MathforSmartKids1

Look at the family. What can you say about their heights?

Lesson 2 Lengths and Heights of Objects

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 longest to shortest.

Objects can be arranged from shortest to longest.

WholeNumbersandBeyond �

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.

Objects can be arranged from shortest to tallest.

A. Check the tall and long objects. Cross out the short object.

� MathforSmartKids1

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.

WholeNumbersandBeyond �

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?

10 MathforSmartKids1

5. Which skirt is shorter?

4. Which hair 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 __________________________

WholeNumbersandBeyond 11

Study these different patterns.

Lesson 3 Patterns

Single 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?

Double pattern

Triple pattern

Complex pattern

1� MathforSmartKids1

Here are more examples of different patterns:

Repeating shapes, figures, colors, or designs create patterns. Patterns can be described as single, double, triple, or complex.

Single pattern

Double pattern

Triple pattern

Complex pattern

WholeNumbersandBeyond 1�

2.

3.

4.

___________________________

___________________________

___________________________

___________________________

Study each pattern. Identify whether the pattern is single, double, triple, or complex. Write the answer in the blank.

1.

___________________________

5.

1� MathforSmartKids1

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.

_____________ 4.

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.

_____________ 5.

______

______

___________

_____

_____

WholeNumbersandBeyond 1�

B. Complete the pattern. Draw the missing object in the pattern.

1. ______

2.

3.

5.

_____

4.

______

______

______