INTEGERS NUMBERS

Title: Integers Numbers
Subject: Mathematics
Course: 1º E.S.O.
Language: English

LEARNING OUTCOMES:
1: To know positive and negative numbers.
2: To operate with integer numbers.
3: To apply concepts real-life situations.
4: Carry out activities and tasks related to the theme of the unit using ICT.


INTRODUCTION
Integers are a generalization of the set of natural numbers that includes negative integers, in addition to zero. The fact that a number is integer means that it hasn´t got decimal part.
Negative integers can be applied in various contexts, such as the representation of depths below sea level, subzero temperatures, or debts, among others.
Its use, although with diverse notations, goes back to the Antiquity. The name of integers is justified because these numbers, already positive or negative, always represented a number of non-divisible units (for example, people).
They find application in the accounting balances. Sometimes, when the amount owed exceeded the amount owned, it was said that the banker was in "red numbers". This expression came from the fact that what we now call negative numbers were represented written in red ink.
Finally, the integers are any element of the set formed by the natural numbers (N) and their opposites. The set of integers is designated by Z:
Z = {., -11, -10,., -2, -1, -0, 1, 2,., 10, 11 ,.}
Negative numbers allow you to count new types of amounts (such as debit balances) and order above or below a certain reference item (temperatures above or below 0 degrees, the floors of a building above or below the entry to it.).


CLIL DACTIC UNITiT: https://docs.google.com/document/d/1MfNaCSKU9YcwLYKOPtoEapuQpKw5xe6cRR-uMoXYYRs/edit

Sessions (10)

SESSION 1: INTRODUCTION OF THE TOPIC.
What are natural numbers? Representation on the number line.

1.- Perform the video viewing: https://www.youtube.com/watch?v=5oHJcmYbHvA
2.- Encourage participation in a brainstorming session, with the aim of finding out prior knowledge:
- What do you know about natural numbers?
- What do you know about whole numbers?
- What kind of number is ...?
- What is the result of ...?
- What do we have to do to solve ...?

*https://www.proprofs.com/quiz-school/story.php?title=natural-whole-integer-numbers-quiz
The objective is to promote knowledge and participation, asking if they know the result of the operations that are being considered
* We made the chrome-extension tab: //bpmcpldpdmajfigpchkicefoigmkfalc/views/app.html

3.- Consolidate knowledge: https://www.mathsisfun.com/whole-numbers.html

4.- Interactive activities: http://www.mathopolis.com/questions/quiz.php


SESSION 2: COMPARISON OF WHOLE NUMBERS.

1.- Viewing the video: https://www.youtube.com/watch?v=DGWcWtqM_yk-
2.- Brainstorming.
3.- Explanation of comparison of whole numbers.
4.- Activities: Completing texts and comparing whole numbers will be carried out, using: https://es.scribd.com/document/175992931/Integer-Numbers

SESSION 3: ADDITION AND SUBTRACTION INTEGERS

1.- Explanation of addition and subtraction integers: https://www.mathsisfun.com/positive-negative-integers.html

2.- Interactive activities:
http://www.mathopolis.com/questions/q.php?id=11715&site=1&ref=/positive-negative-integers.html&qs=11715_11716_11717_11718_11719_11720_11721_3445_3446

https://www.mathplayground.com/ASB_OrbitIntegers.html

https://learningapps.org/2901039


SESSION 4: MULTIPLICATION AND DIVISION OF INTEGERS

1.- Explanation: https://www.youtube.com/watch?v=K_tPbVPfHgk

2.- Interactive activities:
https://juegoseducativosdematematicasonline.blogspot.com.es/2017/02/integers-jeopardy-game-operaciones-con.html

https://es.scribd.com/document/175992931/Integer-Numbers

3.- Prepare a presentation, either using new technologies, cardboards, ... in which the students summarize the rules to add, subtract, multiply and divide integers (an example found on the web is presented).
https://www.pinterest.es/pin/147281850291447227/)

SESSIONS 5, 6 y 7: COMBINED OPERATIONS WITH INTEGERS NUMBERS.

1.- Explanation:
Order of operations.
Use of parentheses brackets
http://www.bilingualmaths.com/1st%20level/unit%206%201/UNIT%206%20%20INTEGERS%201ST%20LEVEL.pdf

2.- Activities:
https://www.mathplayground.com/number_conundrum_integers.html
https://create.kahoot.it/l/#quiz/7a7dcdc7-6012-48f1-b643-bae4a13c0e5c

SESSIONS 8, 9 y 10:

1.- Solve problems and check in groups or with the class:
https://www.youtube.com/watch?v=CdP7yIMvoKk
https://www.mathgoodies.com/lessons/vol5/challenge_vol5
https://es.scribd.com/document/175992931/Integer-Numbers
Resolution of the problems that appear in the topic, from page 21 onwards.

2.- Realization of problems of own production, resolving them and exposing them to the class, following the scheme of:
* Data that the problem gives me.
* Data that the problem asks me.
* Operation to be performed.
* Problem solution.

The problems will be related to subjects that interest the students, such as:
https://docs.google.com/document/d/13wNODkdaYwME76YsYU44H_g3Ol529KyiU6hmPgyWYHA/edit
- Each student elaborates a problem and exposes it to the class.
- Use keywords, for instance: temperature, save/pay, tv show / win or lose, benefits / losses…
- Fix the solution, for example: the temperature variation was…, I have won/lost…

Evaluation: https://docs.google.com/document/d/1MfNaCSKU9YcwLYKOPtoEapuQpKw5xe6cRR-uMoXYYRs/edit



MARÍA DE LOS ÁNGELES GONZÁLEZ DONOSO