Uso de recursos educativos abiertos para AICLE: INTEGER NUMBERS

Title: Integer numbers

Course/ Level: 1º ESO

Subject: Mathematics

Introduction

An integer is defined as a number with no fractional part. In other words, we can count forward and backward using integers. Going from one integer to the next is a discrete jump of one unit, with no stopping part of the way there. Integers are the numbers we get from rounding fractional numbers up or down to the nearest whole. So, an integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10, 0, -25, and 5 are all integers.

The set of integers is denoted Z and it is constituted by positive whole numbers, negative whole numbers, and zero.

Integers are important numbers in mathematics because they have many uses in real life.

Integers help in computing the efficiency in positive or negative numbers in almost every field, let us know the position where one is standing or they also help to calculate how more or less measures to be taken for achieving better results.

Learning outcomes

To identify the different types of numbers (natural, integer, fractional and decimals) and use them to adequately represent and interpret the information
To calculate the value of numeric expressions with integer numbers through elementary operations
To know absolute value and opposite of a Integer number.
To Know how to solve operations combined with integer numbers.
To know how to solve power of Integer numbers.
To solve problems from the real life using Integer numbers.

Tasks

In group:

Invent and solve problems from the real life in which integer numbers are used
Project work: create or design an object of daily use in which it is essential to use integer numbers

Individual:

Self assesment at the end of the unit

Organization and class distribution

SESSION 1: Vocabulary practice

Work in pairs: Pronounce different numbers and characters
Listen to your teacher and repeat
Write a verbal phrase for each numerical expression

https://docs.google.com/document/d/1Lc7CAUtHvf8dW2LnT8XitJjAr5iEjAFK-Bbg_NsrWvg/edit #

SESSION 2: What are integers?

First, we will detect the students' prior knowledge with questions such as:  - Do you know what the natural numbers are?  - Can you use natural numbers to express temperatures below zero?  - Do you know any situation where you have to use negative numbers?  - What kind of number is…?

Second, students perform the video viewing:    https://www.youtube.com/watch?v=5oHJcmYbHvA

Finally, We will encourage the participation of students in a debate about the video.

         What do they think about the content and the vocabulary used.    SESSION 3: Specific vocabulary activities of integers numbers

The aim of this session is for students to acquire knowledge of the specific vocabulary of integers numbers

Integer Vocabulary in Word Problems     http://faculty.mtsac.edu/ctunstall/dsps_33/dsps33_maths/Integer Vocabulary in Word Problems.pdf

Interactive activities to practice vocabulary

	https://quizizz.com/admin/quiz/5624d8555bd73e4e189d1195    	https://www.flashcardmachine.com/games/?topic_id=9124&source=pub.pub_details    	https://quizlet.com/14600438/6th-grade-vocabulary-integers-flash-cards/    SESSION 4: Negative numbers in the real life    We start the session with a brainstorm, encouraging students to explain real-life situations where we have to use integers numbers.    Then, students perform the video viewing:  https://www.youtube.com/watch?v=0Yevn2t8wLg      Finally, to consolidate knowledge carry out interactive activities:    https://www.educaplay.com/en/mieducaplay/1623265/montana.htm    https://www.khanacademy.org/math/arithmetic?t=practice&fromCoachDashboard=true#arith-review-negative-numbers    SESSION 5: Integers on a number line

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Brief explanation of the number line
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Viewing the videos:    https://www.youtube.com/watch?v=8Y82JLMN_Fc

	https://www.youtube.com/watch?v=o3kIi8g3mwI

Interactive activities:    http://studyjams.scholastic.com/studyjams/jams/math/numbers/number-lines.htm

 SESSION 6: Opposite and absolute values

Explanation of the difference between opposite and absolute value of a number

Viewing the video:    https://www.youtube.com/watch?v=mJ3P3I7FCeg

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Activities:  
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	https://www.mathgames.com/skill/6.58-absolute-value-and-opposite-integers    SESSION 7: Operations I

Brief explanation about adding and substrating integers

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Viewing the video:  
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	https://youtu.be/_BgblvF90UE

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Activities
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	https://learningapps.org/2901039    	https://www.mathgames.com/skill/7.65-add-and-subtract-integers    	http://www.softschools.com/math/worksheets/

SESSION 8: Operations II

Brief explanation about integer multiplication and division

Viewing the video:    https://youtu.be/K_tPbVPfHgk

Interactive activities:    http://www.softschools.com/math/worksheets/

	https://www.brainingcamp.com/legacy/content/concepts/integer-	multiplication/questions.php    	https://play.kahoot.it/#/k/7091658e-43fb-4f9a-8f80-e8f9c96e8dca    	https://quizizz.com/admin/quiz/59c0404bc221691100717040      SESSION 9: Combined operations

Explanation order of operations
Viewing the video:

https://www.youtube.com/watch?v=5P0tup2ZT78

http://clic.xtec.cat/db/jclicApplet.jsp?project=http://clic.xtec.cat/projects/operacio/jclic/operacio.jclic.zip&lang=es&title=Operaciones+con+n%FAmeros+enteros

https://matematicasmiguel71.wikispaces.com/file/view/Integers.pdf

SESSION 10, 11: Solve problems

Explain the steps to take to solve a problem:

read it carefully
collect the data
raise it
solve it
check the solution

Viewing the videos:

https://www.youtube.com/watch?v=TKIvwXoBDfo

https://www.youtube.com/watch?v=VCIJCGLFp1A

Invent and solve problems from the real life in which integer numbers are used and expose them to the class. Students must explain all of the steps to follow.