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  

• Brief explanation of the number line

• 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   

• Activities:  

• https://www.mathgames.com/skill/6.58-absolute-value-and-opposite-integers

SESSION 7: Operations I  

• Brief explanation about adding and substrating integers

• Viewing the video:  

• https://youtu.be/_BgblvF90UE

• Activities

• 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

• Activities

• 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

1. Explain the steps to take to solve a problem:

• read it carefully

• collect the data

• raise it

• solve it

• check the solution

2. Viewing the videos:

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

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

3. 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.

4. Activities to solve problems

• https://www.brainingcamp.com/legacy/content/concepts/integer-multiplication/problems.php

• https://www.mathgoodies.com/lessons/vol5/challenge_vol5

5. Project work: create or design an object of daily use in which it is essential to use integer numbers

Students can study the project in the unit:

• http://www.juntadeandalucia.es/educacion/descargasrecursos/aicle/html/pdf/074.pdf

SESSION 12: A little fun with integers!

Math games:

• http://www.sheppardsoftware.com/mathgames/numberballs/numberballsAS2.htm

• http://busynessgirl.com/files/games/game_operation_integers.pdf

• https://matesara.wordpress.com/teachers/clil-material/

• https://matesara.files.wordpress.com/2013/09/multiplicationanddivision1.pdf

• https://matesara.files.wordpress.com/2013/09/powersandparenthesis1.pdf

Evaluation:

• https://docs.google.com/document/d/17X7Mej86vzhjBN5vcwlZSCLGxNJjgwHahxniBnGbq-w/edit

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