Cartilla de Trabajo 2020 – Séptimo Grado de Educación Básica · Dirección General de...

Workbook 1, Seventh grade mathematics of Basic Education, It is owned by the Secretary

of State in the Office of Education, it was prepared by teachers from the Departmental

Departments of Education, in the framework of the national emergency COVID-19, in

response to the needs of monitoring the teaching-learning process in government

educational centers of Honduras, CA

Presidency of the Republic

Secretary of State in the Office of Education

Secretariat for Administrative and Financial Affairs

Undersecretary for Technical Pedagogical Affairs

General Directorate of Curriculo and Evaluation

General Sub-Directorate for Basic Education

Departmental Directorate of Education of Cortés

General Directorate of Educational Modalities

Dirección General de Educación para Pueblos Indígenas y Afrohondureños

Adaptation

Valle de Sula Regional Permanent Training Center

Jorge Alberto Árias Moreno

Technical-graphic and pedagogical review

General Directorate for Technological and Educational Innovation

Curriculo Review

General Sub-Directorate for Basic Education

Lilian Elizabeth Gradiz

Juan José Muñoz

Desing and Diagramming

Arlen Adalixi Llanos Hernández

Eleazar Tomé Escobar

© Secretary of Education

1st street, between 2nd and 4th avenue of Comayagüela, MDC,

Honduras, CA

www.se.gob.hn

Workbook 1, Math, Seventh grade

2020 single edition

FREE DISTRIBUTION - SALE PROHIBITED

http://www.se.gob.hn/

Presentation

Boys, girls, young people, parents, faced with the national emergency

generated by Covid-19, the Ministry of Education, makes this study and

work tool available to you for the I, II and III cycle of basic education ( 1st to

9th grade) that will allow you to continue your studies on a regular basis,

guaranteeing that you can stay at home and at the same time can obtain

the relevant knowledge and develop skills in the area of Mathematics.

Dad, mom and teacher will help you review each lesson and clarify any

doubts you may have. Your job is to develop the activities, exercises and

problems that arise in the Work notebook, in an orderly, creative and clean

way, to later present it to their teachers when we return to the Educational

Center.

Secretary of State in the Office of Education

1

Mathematics/ Seventh Grade

Zymology to Use

It is used to indicate and point out properties and

critera.

It is used to indicate the use of the

Calculator to make or verify calculations.

It is used to make clarifications, suggestions or

extensions of the knowledge of the class.

The solutions in the examples are marked with the

sign

The GD carries the solution of the exercises proposed

in the LE. Teachers have to take in account that in

the case of exercises and problems with open

answers there may be other answers.

To highlight the important points of a topic, use

And for some relevant explanations.

2


The point that corresponds to zero is called the origin and is represented

by the letter O.

The graphical representation of a number on the number line is a point.

Lesson 1 Negative Positive Numbers

Order relationship

We answer one.- In which direction are the positive numbers located?

_____________________________________________

2.- In which direction are the negative numbers located?

_____________________________________________

3.- What is the point that corresponds to zero called?

_____________________________________________

let's remember

Direction to the

left (negative)

Negative direction Positive direction

Direction to the

right (positive)

3


Example 1 On the number line which number is furthest to the right of +3 or +5?

Which of them is the largest?

Solution

Answer: The +5 is further to the right. +5 is the greater the ratio of +5 greater

than +3 is written + 5˃ + 3

The relationship can also be written as +3 less than + 5 + 3 <+5

We answer

one.- How are the numbers that are located to the right of another?

_____________________________________________

Let's draw

Draw the symbols of the order relationship in the rectangles

What do they ask you?

To draw Greater than Smaller than

On the number line the

number to the right is

higher.

Smaller than Greater than

4


Example 2

On the number line write the order relationship of the following pair

Of numbers.

a) -4, +3

Solution

b) -4 is to the left of +3 -4 is said to be less than + 3y

-4 <+3 is written

We answer

one. - How are the numbers that are located to the left of another?

_____________________________________________

Exercise 1

a) Mark on the number line with a point, using colors the

Numbers presented to you in each pair of numbers.

b) Write on the line in the middle of each pair of numbers

Sign <or ˃

a) +3 _____ +8

b) -8 ____ -10

c) +11 _____ +8

d) +5 _____ -6

If the number is located to

the left of another is less.

You can also write

+3>- 4.

5


e) 0_____ -2

f) 0_____ 3

Exercise 2 Write the sign <or ˃ in each of the pairs.

a) -21 ________- 36

b) -5 ________ -4

c) +2.3 _______ 0

d) -6.1 _______ +2.2

e) +3.4 _______ -2.6

f) +6.5 _______ -4.3

WE ANSWER

• When placing a positive number on the number line, the one that

is located furthest from zero will be greater.

• Placing a negative number on the number line will be greater if it is

closer to zero.

• Zero is greater than any negative number but less than any positive

number.

Answers: Exercise 1 a) <b) ˃ c) ˃ d) ˃ e) ˃ f) <

Answers: Exercise 2 a) ˃ b) <c) ˃ d) <e) ˃ f) ˃

6


Absolute value

We answer

Mark the correct answer to the questions

one.- How many integer spaces are there between 0 and -3?

to. Three spaces

b. Two spaces

c. A space

2.- How many integer spaces are there between 0 and +3?

to. Three spaces

b. Two spaces

c. A space

3.- Which number is furthest from zero on the number line +3 or -3?

to. -3

b. +3

c. They are at the same distance

0

n

e

s

p

a

c

e

s

2

s

p

a

c

e

s

3

s

p

a

c

e

s

Spaces Equal

distance

7


Exercise 3

Write the absolute value of the numbers

Exercise 4

Write the sign <or ˃ in each of the pairs

• Among the positive numbers, the one with the highest absolute

value is greater.

• Among the negative numbers it is less than the one with the highest

absolute value

• Between a positive and a negative number the positive will be greater.

Answers: Exercise 3 a) 8 b) 5 c) 0 d) 11 e) 12 f) 15 g) 19 h) 7

Distance is

never

negative.

The absolute value of +3 is 3 and is represented

/+3/=3

The absolute value of -3 is 3 and is represented as /-

3/=3

The absolute value of 0 is 0 and is represented as

/0] = 0

8


Adding numbers with the same sign

Example 3

let's remembe

r

Answers: Exercise 4 a) ˃ b) <c) ˃ d) <e) ˃ f) ˃ g) <h) ˃

The point 0

is the origin

Observe the direction of movements and the final

position.

West East

The highway extends from West to East. An eastward movement is

expressed with a positive sign and a westward movement with a

negative sign followed by the number representing the distance of the

movement

If the following movement occurs, how much can be considered to

have moved eastward from point 0?

Case (1): first it moves 3km to the East starting from point 0 and it

moves 2km to the East.

Solution

West East

We use to express the positive

(East) direction with blue arrow Answer

9


Exercise 5

Example 4

Exercise 6

Exercise 7

Calculate without using number line.

Answers: Exercise 7. +5 Exercise 6. -5 Exercise 7. a) +8 b) +7 c) -5 d) -7

We use to express the negative

(west) direction with a red arrow Answer: 5 km to the west (-5 km)

Calculate without using number line.

Using the graph

West East

If the following movement occurs. How much can be considered to have moved west starting

from point 0?

Case (2): first it travels 3 km to the west (-3 km) starting from point 0 and then it moves 2 km to

the west (-2 km)

Solution

West East

Calculate (-2)+(-3) using the grph

West East

10


Adding different numbers sign

Example 5

Calculate

Exercise 8

Example 6

What is the final position after the two movements? Case: first it travels 3

km to the East starting from point 0 and then it move 5 km to the West.

What is the final position after the two movements? Case: first it travels 3 km

to the west starting from point 0 and then it displaces 5 km to the East

2 km to the East,

represents for + 2

km. Solution

West East

Answer

Solution

West East

2 km to the East,

represents for + 2

Answer:

11


Example 7

Exercise 9

Answers: Exercise 9. a) +4 b) -4

Exercise 9. a) +4 b) -1 c) -2 d) +2 e) -4 f) -7

Analyze

It stay ble

Answer: +2 (positive)

It stay red

Answer: -2 (Negative)

When two numbers with different signs are

added together, the sign of the answer

equals the longest arrow (“longer arrow

means it has a geater absolute value)

The length of the response date is

the difference between the length

of the long arrow and the lenght

of the short date.

calculate

12


Commutative and Associative Property

Example 8

Example 9

Exercise 10 Calculate using the commutative and associative property

Let's look Solution

Answer: they are the same

With positive and negative numbers the following property is valid: commutative

property + = +

They are

equal

Compare the result of

Compare the result of

It Works out first what is

inside of the bracket (1.

Solution

Answer: they are the same They are equal

With positive and negative numbers the following property is valid: associative

property ( + )+ = + ( + )

13


Subtraction

Example 10

Exercise 11 Convert the following subtractions into addition and calculate

Analyze

Convert the following subtraction into additions and calculate

Solution:

14


Example 11

Exercise 12

Approach only with Addition

Example 12 Convert to PO only with addition

Answers: Exercise 12. a) +4 b) -4 c) +9 d) -1

Exercise 11. a) +3 b) -5 c) +4 d) +4 e) -5

Exercise 12 a) +4 b) -1 c) -1 d) +2 e) -4 f) -7

Calculate

Solution

To subtract one number (positive or negative) from another,

add to the opposite number.

As seen in the previous section, you can turn a subtraction into an addition. By

applying this conversion multiple times, you can convert a PO with addition and

subtraction to a PO with addition.

15


Combined Addition and Subtraction

Example 13

Let's calculate

If lama i end each number of a PO that is represented only by addition.

In the previous exercise the terms are +3,-5,-8 and +9

Calculate

Solution

To remove parentheses in combined addition and subtraction if the

parentheses are preceded by the “+” sign, it is removed leaving the

addends inside with their signs.

If the parentheses are preceded by the sign “, deleting it transforms the

signs of the addends inside, each one is changed by the opposite.

Only the numbers are

placed as they are

inside the

parentheses

Remember that

+5=5,

Then

16


Multiplication

Example 14

Exercise 13 Let's calculate

From the PO and the answers in the previous examples, the following can be concluded:

Multiplication of two positive and negative numbers according to the sign

if the two numbers have the same sign, the product has the positive sign if

the two number have a different sign, the product has a negative sigh

according to the absolute value the absolute value is the product of the

absolute values of the numbers

17


Exercise 14 Let's calculate

Answers: Exercise 14

a) +8 b) +15 c) +12 d) +12 e) +10 f) +18 g) +21 h) +32

Exercise 15 a) -8 b) -15 c) -12 d) -8 e) -10 f) -18 g) -21 h) -32

Workbook 1- Mathematics

Seventh grade of Basic Education

Printed and published by the Secretary of Education

In the framework of the national emergency COVID-19

Tegucigalpa, MDC, Honduras, CA

2020

Cartilla de Trabajo 2020 – Séptimo Grado de Educación Básica · Dirección General de...

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