Grade 1 Math Volume 1 En

Brain-Inspired Math

Grade 1, Volume 1

A new technique for teaching mathematics

and boosting a child's math skills.

Margery J. Doyle Cognitive Systems Scientist and Engineer

Cognitive Architects and Engineers

Dr. Ahmed A. Moustafa

Senior Lecturer in Cognitive and Behavioral Neuroscience,

University of Western Sydney

Dr. Mustafa Fouad Ebaid

Math Curriculum Development Adviser

Mohamed Ibrahim Khadr

Math Curriculum Developer

ii

Copyright © 2015 by Alpha Smart Brain

All rights reserved. No part of this publication may be reproduced,

distributed, or transmitted in any form or by any means, including

photocopying, recording, or other electronic or mechanical methods,

without the prior written permission from Alpha Smart Brain.

ISBN

978-0-9963035-0-7

iii

Introduction

There are two different systems for learning and solving

mathematical problems, the visual-spatial and the formal

language systems. Precisely because, the visual-spatial

system responds so well to moving stimuli, it helps us

recognize large animals moving across open areas so this

system evolved earlier than did our formal language

system. This is also why, to this day, it is thought that the

visual-spatial system matures faster during the child’s

development than does the formal language system.

In addition, the spatial method of learning, which relies on

forming mental models and images to understand

mathematics, is similar to the type we use in our everyday

interactions with the world; rendering this method a more

intuitive way to learn math. However, our formal language

system is slower, and more difficult to use, but as it

matures, it enables the learning of more complex math

problems.

We argue that, for children, learning mathematics is more

efficient when it relies, more on the visual-spatial system

rather than on an immature formal language system in

the brain. In fact, relying heavily on the formal language

system can cause mathematics anxiety when learning

mathematics, which in turn, decrease a student's ability to

learn mathematics effectively.

iv

Mathematics anxiety has been defined as feelings of tension

that interfere with the manipulation of numbers and the

solving of mathematical problems in a wide variety of

ordinary life and academic situations. In addition,

dyscalculia is but one disorder thought to impede on a

child's ability to learn mathematics and to manipulate

symbols when working on math problems. Math anxiety can

increase the effects of these disorders and can cause

children to forget what they learn, often leading to a loss in

self-confidence. However, anxiety is but one factor

underlying inefficient learning of mathematics in schools

around the world the other is the way in which mathematics

is taught to young children.

The problem is most mathematics curricula teach the

subject matter using mostly formal language, making the

process inversely beneficial for children training to learn

mathematics at such a young age, when their formal

language systems have yet to mature.

v

The Authors

Margery J. Doyle Margery is a founder or at Cognitive

System Architects and Engineer Research Consultant and

serves at AFRL WPAFB, OH as a Cognitive Systems

Research Scientist and Engineer with L3 Communications

Link Simulation and Training supporting the Air Force

Research Lab 711 HPW/RHA Warfighter Readiness Research

Division at Wright-Patterson Air Force Base, OH. Margery

leads the Not-So-Grand-Challenge to support integration,

validation, and use of cognitive, behavior, and

computationally based models/agents within a modular

architecture for use in Live Virtual Constructive Distributed

Mission Operations training environments.

She earned her M.A. in Experimental Psychology with a

certificate in Cognitive Psychology from the University of

West Florida in 2007.

In addition, Margery completed the research and study

toward completion of a PhD in Cognitive Science at the

University of Louisiana-Lafayette Recently she co-edited a

special edition of Cognitive Systems Research focusing on

the properties of distributed agency, stigmergy, and

emergence in complex adaptive systems.

vi

Dr. Ahmed A. Moustafa, PhD.

Ahmed is currently a Senior Lecturer (Associate Professor)

in Cognitive and Behavioural Neuroscience at Marcs

Institute for Brain and Behavior and the School of Social

Sciences and Psychology, University of Western Sydney.

Ahmed graduated from Cairo University in Egypt with an

undergraduate degree in mathematics and computer

science. After that, Ahmed received his PhD from the

Institute of Cognitive Science, University of Louisiana-

Lafayette. His PhD work consisted of building computational

models of brain functions and disorders. Ahmed then took a

postdoctoral research position at University of Arizona.

Following that, Ahmed served as a Research Scientist for

the Center for Molecular and Behavioral Neuroscience at

Rutgers University where he worked on computational and

neuropsychological studies of schizophrenia, Parkinson’s

disease, PTSD, and Depression.

vii

To his credit, Ahmed has published over 50 papers in high-

ranking journals including Science, Proceedings of the

National Academy of Science, Brain, Journal of

Neuroscience, among others. Currently, Ahmed works on

Computational and Experimental Neuroscience research,

focusing on modeling brain disorders.

Dr. Mustafa Fouad Ebaid

Math Curriculum Development Adviser

Mohamed Ibrahim Khadr

Math curriculum Developer

viii

What we think is wrong with the current mathematics

education system in elementary schools in the United

States?

1- The current mathematics education system in elementary

schools in the United States is relying heavily on the use of

formal language.

2- The current mathematics curricula teach the subject

matter using mostly formal language, making the process

inversely beneficial for children training to learn

mathematics at such a young age, when their formal

language systems have yet to mature.

3- Relying heavily on the formal language system can cause

mathematics anxiety when learning mathematics, which in

turn, decrease a student's ability to learn mathematics

effectively.

ix

How to easily teach math to first graders using brain-

inspired math curriculum?

1- Because visual-spatial capabilities are well-developed

and mature at a young age, a math curriculum in the form

of tables conveying the concepts allows the students an

opportunity to easily learn mathematical concepts.

2- Using the visual-spatial x y z system with first grade

students will help students to form abstract concepts and

master math so easily.

3- Using Brain Training software ( Alpha Smart Math

Booster ), to build strong mathematics processing

networks and processes in the student's brain.

4- Using Brain Training software should be done after the

student finishes studying Volume 1. The student should use

this software twice every week, every time about 15

minutes.

5- Explaining tables and mathematical concepts to the

students should be conducted by using informal language

and visual-spatial methods students more readily

understand.

6- Any formal language vocabulary used should be kept to

a minimum, and should be easy to understand.

x

7- Using concrete materials is very important for visualizing

the concepts to the students, so the students can visualize

the concept easily in their heads.

8- The teacher should avoid asking students difficult

questions, especially the questions that contain heavy

language. The difficult questions in that young age can

cause mathematics anxiety.

9- When the teacher explains a new mathematical concept

to the students, the teacher should explain the concept

using as few words as possible. After the students

understand the concept deeply, they should complete the

tables by themselves, this will help in storing information in

the brain effectively.

10- After building the mathematics area in the student's

brain, we introduce word problems in Volume 2.

11- Because formal language systems of first grade

students have yet to mature, so teachers should explain

word problems to students using informal language and

visual-spatial methods students more readily understand.

xi

Table of Contents

Unit 1 .............................................. 1

Unit 2 .............................................. 40

Unit 3 .............................................. 63

Unit 4 .............................................. 85

Unit 5 .............................................. 98

Unit 6 .............................................. 123

Unit 7 .............................................. 129

Unit 8 .............................................. 133

Teacher's

Guide .............................................. 141

xii

Suggested Timeline

Volume 1 Volume 2 Volume 3

20 weeks 8 weeks 8 weeks

Note: Students should use Brain Training software

(Alpha Smart Math Booster) after finishing studying

Volume 1. The student should use this software twice every

week, every time about 15 minutes.

1

Lesson 1 Worksheet 1 Unit 1

1 2 3 4 5 6 7 8 9 10

.................................................................

1 2 3 4 5 6 7 8 9 10

2 3 4 5 6 7 8 9 ...

3 4 5 6 7 8 ... ...

4 5 6 7 ... ... ...

5 6 ... ... ... ...

2


How many windows are there in the

classroom?

How many doors are there in the

classroom?

How many light bulbs are there in the classroom?

How many fingers does a hand have?

3


1 2 3 4 5 6 7 8 9 10

Number Next Number

1

2

3

4

5

6

7

8

9

4


1 2 3 4 5 6 7 8 9 10

Number Previous Number

2

3

4

5

6

7

8

9

10

5


+ = 2

+ = .....

+ = .....

+ = .....

+ = .....

.................................................................

+ = 4

+ = .....

+ = .....

+ = .....

+ = .....

6


1 + 1 = ....

2 + 1 = ....

3 + 1 = ....

4 + 1 = ....

5 + 1 = ....

.................................................................

2 + 2 = ....

3 + 2 = ....

4 + 2 = ....

5 + 2 = ....

6 + 2 = ....

7


2 + 3 = ....

3 + 3 = ....

4 + 3 = ....

5 + 3 = ....

6 + 3 = ....

.................................................................

2 + 4 = ....

3 + 4 = ....

4 + 4 = ....

5 + 4 = ....

6 + 4 = ....

8


5 + 1 = ....

5 + 2 = ....

5 + 3 = ....

5 + 4 = ....

5 + 5 = ....

.................................................................

6 + 0 = ....

6 + 1 = ....

6 + 2 = ....

6 + 3 = ....

6 + 4 = ....

9


2 + 4 = ....

2 + 5 = ....

2 + 6 = ....

2 + 7 = ....

2 + 8 = ....

.................................................................

3 + 4 = ....

3 + 5 = ....

3 + 6 = ....

3 + 7 = ....

4 + 6 = ....

10


5

5 + 2 = ......

5 + 3 = ......

5 + 4 = ......

5 + 5 = ......

.................................................................

6

6 + 2 = ......

6 + 3 = ......

6 + 4 = ......

11


6 + 2 = ......

6 + 3 = ......

.................................................................

7 + 2 = ......

7 + 3 = ......

0 1 2 3 4 5 6 7 8 9 10

0 1 2 3 4 5 6 7 8 9 10

12


+

1 2 3 4 5

1 1 1 1 1

2 .... .... .... ....

.................................................................

2 3 4 5 6

2 2 2 2 2

4 .... .... .... ....

13


+

3 4 5 6 7

3 3 3 3 3

6 .... .... .... ....

.................................................................

9 8 7 6 5

1 2 3 4 5

10 .... .... .... ....

14


3 + 2 = .... 2 + 3 = ....

4 + 2 = .... 2 + 4 = ....

5 + 2 = .... 2 + 5 = ....

6 + 2 = .... 2 + 6 = ....

7 + 2 = .... 2 + 7 = ....

.................................................................

4 + 3 = .... 3 + 4 = ....

5 + 3 = .... 3 + 5 = ....

6 + 3 = .... 3 + 6 = ....

7 + 3 = .... 3 + 7 = ....

8 + 2 = .... 2 + 8 = ....

15


4 + ? = 6

5 + ? = 7

5 + ? = 8

5 + ? = 9

6 + ? = 8

.................................................................

6 + ? = 9

6 + ? = 10

7 + ? = 9

7 + ? = 10

8 + ? = 10

16


2 + ? = 5

2 + ? = 6

2 + ? = 7

2 + ? = 8

2 + ? = 9

.................................................................

3 + ? = 6

3 + ? = 7

3 + ? = 8

3 + ? = 9

3 + ? = 10

17


=

4 = 4

= +

4 = …. + ….

= +

4 = …. + ….

18


=

5 = 5

= +

5 = …. + ….

= +

5 = …. + ….

19


6 6

1 ? 2 ?

6 = 1 + ?

6 = 2 + ?

.................................................................

6 6

3 ? 4 ...

6 = 3 + ?

6 = 4 + ?

20


5 = 5

5 = 1 + ?

5 = 2 + ?

5 = 3 + ?

5 = 4 + ?

.................................................................

6 = 6

6 = 1 + ?

6 = 2 + ?

6 = 3 + ?

6 = 4 + ?

21


7 = 7

7 = 1 + ?

7 = 2 + ?

7 = 3 + ?

7 = 4 + ?

.................................................................

8 = 8

8 = 1 + ?

8 = 2 + ?

8 = 3 + ?

8 = 4 + ?

22


1 2 3 4 5 6 7 8 9 10

.................................................................

11 12 13 14 15 16 17 18 19 20

23


21 22 23 24 25 26 27 28 29 30

.................................................................

31 32 33 34 35 36 37 38 39 40

24


10 + 1 = .... 10 + 6 = ....

10 + 2 = .... 10 + 7 = ....

10 + 3 = .... 10 + 8 = ....

10 + 4 = .... 10 + 9 = ....

10 + 5 = .... 10 + 10 = ....

.................................................................

20 + 1 = .... 20 + 6 = ....

20 + 2 = .... 20 + 7 = ....

20 + 3 = .... 20 + 8 = ....

20 + 4 = .... 20 + 9 = ....

20 + 5 = .... 20 + 10 = ....

25


30 + 1 = .... 30 + 6 = ....

30 + 2 = .... 30 + 7 = ....

30 + 3 = .... 30 + 8 = ....

30 + 4 = .... 30 + 9 = ....

30 + 5 = .... 30 + 10 = ....

.................................................................

40 + 1 = .... 40 + 6 = ....

40 + 2 = .... 40 + 7 = ....

40 + 3 = .... 40 + 8 = ....

40 + 4 = .... 40 + 9 = ....

40 + 5 = .... 40 + 10 = ....

26


11 + 3 = ....

12 + 3 = ....

13 + 3 = ....

14 + 3 = ....

15 + 3 = ....

.................................................................

11 + 4 = ....

12 + 4 = ....

13 + 4 = ....

14 + 4 = ....

15 + 4 = ....

27


11 + 5 = ....

12 + 5 = ....

13 + 5 = ....

14 + 5 = ....

15 + 5 = ....

.................................................................

11 + 6 = ....

12 + 6 = ....

13 + 6 = ....

14 + 6 = ....

15 + 6 = ....

28


11 + ? = 15

12 + ? = 17

13 + ? = 19

14 + ? = 21

15 + ? = 23

.................................................................

11 + ? = 16

12 + ? = 18

13 + ? = 20

14 + ? = 22

15 + ? = 24

29


3 5 7 9 ....

4 6 8 10 ....

5 7 9 11 ....

6 8 10 12 ....

7 9 11 13 ....

.................................................................

4 7 10 13 ....

5 8 11 14 ....

6 9 12 15 ....

7 10 13 16 ....

8 11 14 17 ....

30


5 9 13 17 ....

6 10 14 18 ....

7 11 15 19 ....

8 12 16 20 ....

9 13 17 21 ....

.................................................................

5 10 15 20 ....

6 11 16 21 ....

7 12 17 22 ....

8 13 18 23 ....

9 14 19 24 ....

31


1 2 3 4 5 6 7 8 9 10

2 4 6 8 10

3 6 9 12 15

4 8 12 16 20

5 10 15 20 25

32


11

=

11

11 = 10 + 1

12 = 10 + 2

13 = 10 + 3

14 = 10 + ....

33


11 = 10 + ... 16 = 10 + ...

12 = 10 + ... 17 = 10 + ...

13 = 10 + ... 18 = 10 + ...

14 = 10 + ... 19 = 10 + ...

15 = 10 + ... 20 = 10 + ...

.................................................................

21 = 20 + ... 26 = 20 + ...

22 = 20 + ... 27 = 20 + ...

23 = 20 + ... 28 = 20 + ...

24 = 20 + ... 29 = 20 + ...

25 = 20 + ... 30 = 20 + ...

34


31 = 30 + ... 36 = 30 + ...

32 = 30 + ... 37 = 30 + ...

33 = 30 + ... 38 = 30 + ...

34 = 30 + ... 39 = 30 + ...

35 = 30 + ... 40 = 30 + ...

.................................................................

41 = 40 + ... 46 = 40 + ...

42 = 40 + ... 47 = 40 + ...

43 = 40 + ... 48 = 40 + ...

44 = 40 + ... 49 = 40 + ...

45 = 40 + ... 50 = 40 + ...

35


4 + 1 + 2 = ... 4 + 2 + 3 = ...

5 + 1 + 2 = ... 5 + 2 + 3 = ...

6 + 1 + 2 = ... 6 + 2 + 3 = ...

7 + 1 + 2 = ... 7 + 2 + 3 = ...

8 + 1 + 2 = ... 8 + 2 + 3 = ...

.................................................................

6 + 3 + 4 = ... 6 + 4 + 5 = ...

7 + 3 + 4 = ... 7 + 4 + 5 = ...

8 + 3 + 4 = ... 8 + 4 + 5 = ...

9 + 3 + 4 = ... 9 + 4 + 5 = ...

10 + 3 + 4 = ... 10 + 4 + 5 = ...

36


9 + 1 + 3 = ... 9 + 3 + 1 = ...

8 + 2 + 3 = ... 8 + 3 + 2 = ...

7 + 3 + 4 = ... 7 + 4 + 3 = ...

6 + 4 + 5 = ... 6 + 5 + 4 = ...

5 + 5 + 6 = ... 5 + 6 + 5 = ...

.................................................................

10 + 1 + 2 = ... 10 + 2 + 3 = ...

10 + 1 + 3 = ... 10 + 2 + 4 = ...

10 + 1 + 4 = ... 10 + 2 + 5 = ...

10 + 1 + 5 = ... 10 + 2 + 6 = ...

10 + 1 + 6 = ... 10 + 2 + 7 = ...

37


+

14 14 14 14

11 12 13 14

25

.................................................................

15 15 15 15

11 12 13 14

26

38


+

25 25 25 25

21 22 23 24

46

.................................................................

26 26 26 26

20 21 22 23

46

39


+

20 30 40 50

10 10 10 10

30

.................................................................

30 40 50 60

20 20 20 20

50

40


3 - 1 = ...

3 - 2 = ...

3 - 3 = ...

41


4 - 1 = ...

4 - 2 = ...

4 - 3 = ...

4 - 4 = ...

42


5 - 1 = ...

5 - 2 = ...

5 - 3 = ...

5 - 4 = ...

5 - 5 = ...

43


6 - 1 = ...

6 - 2 = ...

6 - 3 = ...

6 - 4 = ...

6 - 5 = ...

6 - 6 = ...

44


4 - 1 = ...

4 - 2 = ...

4 - 3 = ...

4 - 4 = ...

.................................................................

5 - 1 = ...

5 - 2 = ...

5 - 3 = ...

5 - 4 = ...

5 - 5 = ...

45


6 - 1 = ...

6 - 2 = ...

6 - 3 = ...

6 - 4 = ...

6 - 5 = ...

.................................................................

7 - 1 = ...

7 - 2 = ...

7 - 3 = ...

7 - 4 = ...

7 - 5 = ...

46


8 - 1 = ...

8 - 2 = ...

8 - 3 = ...

8 - 4 = ...

8 - 5 = ...

.................................................................

9 - 1 = ...

9 - 2 = ...

9 - 3 = ...

9 - 4 = ...

9 - 5 = ...

47


2 - 1 = ...

3 - 1 = ...

4 - 1 = ...

5 - 1 = ...

6 - 1 = ...

.................................................................

3 - 2 = ...

4 - 2 = ...

5 - 2 = ...

6 - 2 = ...

7 - 2 = ...

48


4 - 3 = ...

5 - 3 = ...

6 - 3 = ...

7 - 3 = ...

8 - 3 = ...

.................................................................

5 - 4 = ...

6 - 4 = ...

7 - 4 = ...

8 - 4 = ...

9 - 4 = ...

49


1 2 3 4 5 6 7 8 9 10

10 – 2 = ...

10 – 3 = ...

10 – 4 = ...

10 – 5 = ...

.................................................................

1 2 3 4 5 6 7 8 9 10

9 – 2 = ...

9 – 3 = ...

9 – 4 = ...

9 – 5 = ...

50


1 2 3 4 5 6 7 8 9 10

8 – 2 = ...

8 – 3 = ...

8 – 4 = ...

8 – 5 = ...

.................................................................

1 2 3 4 5 6 7 8 9 10

7 – 2 = ...

7 – 3 = ...

7 – 4 = ...

7 – 5 = ...

51


11 12 13 14 15 16 17 18 19 20

20 – 13 = ...

20 – 14 = ...

20 – 15 = ...

20 – 16 = ...

.................................................................

11 12 13 14 15 16 17 18 19 20

19 – 13 = ...

19 – 14 = ...

19 – 15 = ...

19 – 16 = ...

52


11 12 13 14 15 16 17 18 19 20

18 – 12 = ...

18 – 13 = ...

18 – 14 = ...

18 – 15 = ...

.................................................................

11 12 13 14 15 16 17 18 19 20

17 – 12 = ...

17 – 13 = ...

17 – 14 = ...

17 – 15 = ...

53


20 - 13 = ... 19 - 13 = ...

20 - 14 = ... 19 - 14 = ...

20 - 15 = ... 19 - 15 = ...

20 - 16 = ... 19 - 16 = ...

20 - 17 = ... 19 - 17 = ...

.................................................................

18 - 11 = ... 17 - 11 = ...

18 - 12 = ... 17 - 12 = ...

18 - 13 = ... 17 - 13 = ...

18 - 14 = ... 17 - 14 = ...

18 - 15 = ... 17 - 15 = ...

54


20 - 1 = ... 19 - 1 = ...

20 - 2 = ... 19 - 2 = ...

20 - 3 = ... 19 - 3 = ...

20 - 4 = ... 19 - 4 = ...

20 - 5 = ... 19 - 5 = ...

.................................................................

18 - 1 = ... 17 - 1 = ...

18 - 2 = ... 17 - 2 = ...

18 - 3 = ... 17 - 3 = ...

18 - 4 = ... 17 - 4 = ...

18 - 5 = ... 17 - 5 = ...

55


10 9 8 7 6 5 4 3 2 1

9 8 7 6 5 4 3 ... ...

8 7 6 5 4 ... ... ...

7 6 5 ... ... ... ...

6 ... ... ... ... ...

.................................................................

20 19 18 17 16 15 14 13 12 11

19 18 17 16 15 14 13 ... ...

18 17 16 15 14 ... ... ...

17 16 15 ... ... ... ...

16 ... ... ... ... ...

56


8 6 4 ....

10 8 6 ....

12 10 8 ....

14 12 10 ....

16 14 12 ....

.................................................................

18 16 14 ....

20 18 16 ....

22 20 18 ....

24 22 20 ....

26 24 22 ....

57


10 7 4 ....

11 8 5 ....

12 9 6 ....

13 10 7 ....

14 11 8 ....

.................................................................

15 12 9 ....

16 13 10 ....

17 14 11 ....

18 15 12 ....

19 16 13 ....

58


5 – ? = 3 10 – ? = 8

6 – ? = 4 11 – ? = 9

7 – ? = 5 12 – ? = 10

8 – ? = 6 13 – ? = 11

9 – ? = 7 14 – ? = 12

.................................................................

6 – ? = 3 11 – ? = 8

7 – ? = 4 12 – ? = 9

8 – ? = 5 13 – ? = 10

9 – ? = 6 14 – ? = 11

10 – ? = 7 15 – ? = 12

59


7 – ? = 3 12 – ? = 8

8 – ? = 4 13 – ? = 9

9 – ? = 5 14 – ? = 10

10 – ? = 6 15 – ? = 11

11 – ? = 7 16 – ? = 12

.................................................................

8 – ? = 3 13 – ? = 8

9 – ? = 4 14 – ? = 9

10 – ? = 5 15 – ? = 10

11 – ? = 6 16 – ? = 11

12 – ? = 7 17 – ? = 12

60


-

25 26 27 28

11 11 11 11

14

.................................................................

25 26 27 28

12 12 12 12

61


-

36 37 38 39

11 11 11 11

25

.................................................................

36 37 38 39

21 21 21 21

62


-

20 30 40 50

10 10 10 10

10

.................................................................

36 37 38 39

20 20 20 20

63


Number Tens Ones

12 1 2

23

34

45

.................................................................

Number Tens Ones

56

67

78

89

64


Number Tens Ones

10 1 0

20

30

40

.................................................................

Number Tens Ones

11 1 1

22

33

44

65


Tens Ones Number

1 2 12

2 3

3 4

4 5

.................................................................

Tens Ones Number

5 6

6 7

7 8

8 9

66


Tens Ones Number

1 0 10

2 0

3 0

4 0

.................................................................

Tens Ones Number

2 1

3 2

4 3

5 4

67


< , >

1 .... 2

3 .... 4

5 .... 6

7 .... 8

.................................................................

< , >

4 .... 2

6 .... 4

8 .... 6

10 .... 8

68


< , >

3 .... 10

5 .... 10

7 .... 10

9 .... 10

.................................................................

< , >

12 .... 10

14 .... 10

16 .... 10

18 .... 10

69


< , >

13 .... 20

15 .... 20

17 .... 20

19 .... 20

.................................................................

< , >

22 .... 20

24 .... 20

26 .... 20

28 .... 20

70


Sequence Order type

2 4 6 8 ascending

4 6 8 10

6 8 10 12

8 10 12 14

.................................................................

Sequence Order type

8 6 4 2 descending

10 8 6 4

12 10 8 6

14 12 10 8

71


Numbers Smallest Number Largest Number

2 10 12 2 12

3 10 13

4 10 14

5 10 15

.................................................................


6 10 16

7 10 17

8 10 18

9 10 19

72



12 20 22 12 22

13 20 23

14 20 24

15 20 25

.................................................................


16 20 26

17 20 27

18 20 28

19 20 29

73


Does 3 + 1 = 4 ? Yes

Does 4 + 1 = 6 ? No

Does 6 + 1 = 7 ? Yes

Does 7 + 1 = 8 ?

Does 8 + 1 = 10 ?

.................................................................

Does 9 + 1 = 10 ? Yes

Does 8 + 2 = 10 ? Yes

Does 7 + 4 = 10 ?

Does 6 + 4 = 10 ?

Does 5 + 5 = 10 ?

74


Is 2 < 10 ? Yes

Is 3 < 10 ? Yes

Is 4 < 10 ?

Is 5 < 10 ?

Is 6 < 10 ?

.................................................................

Is 12 > 10 ? Yes

Is 13 > 10 ? Yes

Is 14 > 10 ?

Is 15 > 10 ?

Is 16 > 10 ?

75


41 42 43 44 45 46 47 48 49 50

.................................................................

51 52 53 54 55 56 57 58 59 60

76


61 62 63 64 65 66 67 68 69 70

.................................................................

71 72 73 74 75 76 77 78 79 80

77


81 82 83 84 85 86 87 88 89 90

.................................................................

91 92 93 94 95 96 97 98 99 100

78


1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 ... ...

21 22 23 24 25 26 27 28 ... ...

31 32 33 34 35 36 37 38 ... ...

41 42 43 44 45 46 47 48 ... ...

.................................................................

51 52 53 54 55 56 57 58 ... ...

61 62 63 64 65 66 67 68 ... ...

71 72 73 74 75 76 77 78 ... ...

81 82 83 84 85 86 87 88 ... ...

91 92 93 94 95 96 97 98 ... ...

79


1 2 3 4 5 6 7 8 9 10

2 4 6 8 10 12 14

3 6 9 12 15 18 21

4 8 12 16 20 24 28

5 10 15 20 25 30 35

6 12 18 24 30 36 42

7 14 21 28 35 42 49

8 16 24 32 40 48 56

9 18 27 36 45 54 63

10 20 30 40 50 60 70

80


1 2 3 4 5 6 7 8 9 10

2

3

4

5

6

7

8

9

10

81


Number Next Number

9

19

29

39

.................................................................

Number Previous Number

10

20

30

40

82


1 2 3 4 5 6 7 8 9 10

Which number comes before 2?




.................................................................

1 2 3 4 5 6 7 8 9 10

Which number comes after 5?




83


1 2 3 4 5 6 7 8 9 10

What number is between 1 and 3?





84


1 2 3 4 5 6 7 8 9 10

The number 1 is to the left of 5.



The number 6 is to the right of 5.

The number 7 is to the right of 5.

The number 8 is to the ...... of 5.

85


Number greater than 10

7 12


13 8


9 15

86


Number less than 20

23 13

Number less than 20

14 24

Number less than 20

15 25

87


The Largest Number

19 24

The Largest Number

35 28

The Largest Number

42 37

88


The Smallest Number

13 23

The Smallest Number

34 24

The Smallest Number

45 35

89


Number close to 10

27 7

Number close to 10

8 28

Number close to 10

12 22

90


Number close to 20

38 18

Number close to 20

19 39

Number close to 20

22 32

91


Number has 2 ones

12 21

Number has 3 ones

31 13

Number has 4 ones

14 41

92


Number has 2 tens

52 25

Number has 3 tens

53 35

Number has 4 tens

45 54

93


Increased by 2

4 7 10 13 3 5 7 9

Increased by 3

4 6 8 10 5 8 11 14

Increased by 5

10 15 20 25 3 6 9 12

94


Increased by 3

4 7 10 13 4 6 8 10

Increased by 4

2 5 8 11 2 6 10 14

Increased by 10

20 30 40 50 20 25 30 35

95


The Next Number to 4

3 5


8 6


9 11

96


The Previous Number to 7

6 8


11 9


12 14

97


2 4 6 8

descending order ascending order

9 7 5 3


2 5 8 11


98


x + y = z

x y z

3 2 ?

4 2 ?

5 2 ?

6 2 ?

7 2 ?

8 2 ?

99


x + y = z

x y z

4 3 ?

5 3 ?

6 3 ?

7 3 ?

8 3 ?

9 3 ?

100


x + y = z

x y z

4 ? 6

5 ? 7

6 ? 8

7 ? 9

8 ? 10

9 ? 11

101


x + y = z

x y z

5 ? 8

6 ? 9

7 ? 10

8 ? 11

9 ? 12

10 ? 13

102


x + y = z

x y z

? 5 9

? 6 10

? 7 11

? 8 12

? 9 13

? 10 14

103


x + y = z

x y z

? 6 11

? 7 12

? 8 13

? 9 14

? 10 15

? 11 16

104


x - y = z

x y z

4 1 ?

5 1 ?

6 1 ?

7 1 ?

8 1 ?

9 1 ?

105


x - y = z

x y z

5 2 ?

6 2 ?

7 2 ?

8 2 ?

9 2 ?

10 2 ?

106


x - y = z

x y z

14 11 ?

15 11 ?

16 11 ?

17 11 ?

18 11 ?

19 11 ?

107


x - y = z

x y z

15 12 ?

16 12 ?

17 12 ?

18 12 ?

19 12 ?

20 12 ?

108


x - y = z

x y z

6 ? 2

7 ? 3

8 ? 4

9 ? 5

10 ? 6

11 ? 7

109


x - y = z

x y z

7 ? 2

8 ? 3

9 ? 4

10 ? 5

11 ? 6

12 ? 7

110


x x + 1

3 ?

4 ?

5 ?

6 ?

7 ?

8 ?

111


x x + 2

2 ?

4 ?

6 ?

8 ?

01 ?

02 ?

112


x x - 1

4 ?

5 ?

6 ?

7 ?

8 ?

9 ?

113


y = x + 1

x y

2 ?

3 ?

4 ?

5 ?

6 ?

7 ?

114


y = x - 1

x y

3 ?

4 ?

5 ?

6 ?

7 ?

8 ?

115


x y x y

3 1 3 1

4 2 4 2

5 3

6 4

7 5

8 6

116


x y x y

4 3 4 3

5 4 5 4

6 5

7 6

8 7

9 8

117


x y x + y

4 1 5

5 1

6 1

7 1

8 1

9 1

118


x y x - y

4 1 3

5 1

6 1

7 1

8 1

9 1

119


x y z x y z

2 1 3 2 1 3

3 1 4 3 1 4

4 1 5

5 1 6

6 1 7

7 1 8

120


x y z x y z

4 2 6 4 2 6

5 2 7 5 2 7

6 2 8

7 2 9

8 2 10

9 2 11

121


x y z x + y + z

2 1 2 5

3 1 2 6

4 1 2

5 1 2

6 1 2

7 1 2

122


x y z x + y + z

4 2 3 9

5 2 3 10

6 2 3

7 2 3

8 2 3

9 2 3

123


x = 2

3 0 2 2 0 4

y = 3

1 3 5 3 2 6

z = 4

4 0 5 2 0 4

124


x + y = z

8 2 11 8 2 10

x - y = z

7 1 6 7 1 5

x + y + z = 12

7 3 2 7 3 1

125


x = y

2 2 3 4 5 4

x < y

7 7 8 2 4 6

x = z

3 0 3 2 0 4

126


x < z

4 0 4 3 0 5

7 + 3 = z

z = 9 z = 10

8 + y = 12

y = 4 y = 5

127


x + 5 = 8

x = 3 x = 4

x < 50

5 56 57 58 59 6

x > 50

6 7 54 53 4 5

128


x = 2 and y = 3

2 3 5 2 4 6

x = 3 and z = 5

3 0 6 3 0 5

x + y + z = 100

95 3 2 95 3 1

129


y = 0 if x < 10

y = 1 if x > 10

x y

6 0

7 0

8

9

12

13

130


y = 0 if x < 20

y = 1 if x > 20

x y

5 0

9 0

13

17

21

25

131


y = 0 if x < 30

y = 1 if x > 30

x y

10 0

15 0

20

25

35

40

132


y = 0 if x < 50

y = 1 if x > 50

x y

10 0

20 0

30

40

60

70

133


+

11 12 13 14

19 19 19 19

30

.................................................................

12 13 14 15

18 18 18 18

134


+

23 24 25 26

27 27 27 27

50

.................................................................

24 25 26 27

26 26 26 26

135


12 + 19 = ?

31 32

13 + 29 = ?

43 42

25 + 28 = ?

53 54

136


Number Ones Type of Number

10 0 even

12 2 even

14 4

16 6

18 8

20 0

22 2

24 4

137


Number Ones Type of Number

11 1 odd

13 3 odd

15 5

17 7

19 9

21 1

23 3

25 5

138


Even Number

10 11

Even Number

13 14

Odd Number

15 16

139


10

12 13

11

14 13

13

15 16

140


x is an even number.

12 13 15 17 19 20

x is an even number.

13 16 18 14 15 17

x, y, and z are odd numbers.

11 13 15 12 14 16

141

A guide for teachers and parents.

...................................................

Lesson 1 objectives:

After completing the lesson, the student will be expected to:

1- Count objects up to 10.

2- Count using fingers.

3- Solve Worksheet 1 ( homework ).

......................................................................................



1- Understand the meaning of zero.

2- Answer the simple questions of "how many?".


......................................................................................



1- Understand the concept of next number and previous

number.

2- Solve Worksheet 3, 4 ( homework ).

142



1- Understand the concept of addition.

2- Add objects - sum to 10.


......................................................................................



1- Add using counting on strategy.


......................................................................................





143




2- Understand the concept of adding 0.


......................................................................................





......................................................................................



1- Add using the number path.


144



1- Add using the number line.


......................................................................................



1- Add using vertical addition - sum to 10.

2- Solve Worksheet 12,13 ( homework ).

......................................................................................



1- Understand the commutative property of addition.


145



1- Find the unknown part in addition equations.


......................................................................................





......................................................................................



1- Split a number into two numbers.


146





......................................................................................





......................................................................................





147



1- Count from 11 to 20.


......................................................................................






......................................................................................



1- Add 1-10 to 10.

2- Add 1-10 to 20.


148



1- Add 1-10 to 30.

2- Add 1-10 to 40.


......................................................................................



1- Add 3-6 to 11, 12, 13, 14, and 15.


......................................................................................





149



1- Find the missing number in increasing sequences.


......................................................................................



1- Find the missing number in increasing sequences.


......................................................................................



1- Complete Addition Table.


150





......................................................................................





......................................................................................





151



1- Understand the associative property of addition.

2- Add three numbers whose sum is less than or equal to 20.


......................................................................................



1- Understand the associative property of addition.

2- Add three numbers whose sum is less than or equal to 20.


......................................................................................



1- Add two-digit numbers.


152





......................................................................................





......................................................................................



1- Understand the concept of subtraction.

2- Subtract by using objects.


153



1- Understand the concept of subtraction.

2- Subtract by using objects.


......................................................................................



1- Subtract by using counting back strategy.


......................................................................................





154





......................................................................................





......................................................................................



1- Subtract by using the number path.


155



1- Subtract by using the number path.


......................................................................................



1- Subtract by using counting up strategy.


......................................................................................





156





......................................................................................





......................................................................................



1- Find the missing number in decreasing sequences.


157





......................................................................................





......................................................................................



1- Find the unknown part in subtraction equations.


158



1- Find the unknown part in subtraction equations.


......................................................................................



1- Subtract two-digit numbers ( vertical subtraction).


......................................................................................





159





......................................................................................



1- Understand the concept of Tens and Ones.


......................................................................................



1- Understand the concept of Tens and Ones.


160



1- Combine Tens and Ones.


......................................................................................



1- Use the less than sign.

2- Use the greater than sign.


......................................................................................






161






......................................................................................



1- Understand the concept of ascending sequence.

1- Understand the concept of descending sequence.


......................................................................................



1- Find the smallest number and the largest number.


162



1- Find the smallest number and the largest number.


......................................................................................



1- Answer yes / no questions.


......................................................................................



1- Answer yes / no questions.


163





......................................................................................





......................................................................................





164





......................................................................................





......................................................................................





165



1- Undretand the conecpt of next number and previous

number.


......................................................................................



1- Use the words "before" and "after".


......................................................................................



1- Use the word "between".


166



1- Use the words "left" and "right".


......................................................................................



1- Use verbal condition.


......................................................................................





167





......................................................................................





......................................................................................





168




2- Solve Worksheet 95, 96, 97 ( homework ).

......................................................................................



1- Understand the meaning of variables x y z.

2- Find the value of z by using counting on strategy.


......................................................................................



1- Find the value of y by using counting up strategy.


169



1- Find the value of x by using counting up strategy.


......................................................................................



1- Find the value of z by using counting back strategy.


......................................................................................



1- Find the value of z by using counting up strategy.


170



1- Find the value of y by using counting up strategy.


......................................................................................



1- Find the value of x + 1, x + 2, x - 1.

2- Solve Worksheet 110, 111, 112 ( homework ).

......................................................................................



1- Find the value of y.


171



1- Write x and y on the form x y.


......................................................................................



1- Find the value of x + y, x - y.


......................................................................................



1- Write x,y and z on the form x y z.


172



1- Find the value of x + y + z


......................................................................................



1- Use symbolic condition.


......................................................................................





173





......................................................................................



1- Use If statement.


......................................................................................



1- Use If statement.


174



1- Add two-digit numbers with carrying.


......................................................................................





......................................................................................





175



1- Identify the type of a given number, even or odd.


......................................................................................





......................................................................................





176





......................................................................................





Grade 1 Math Volume 1 En

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Transcript of Grade 1 Math Volume 1 En