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curriculum and table of contents.
curriculum and table of contents.
RD 82_2022_MATEMÁTICAS_1_ESO.pdfNotebook Table of Contents.pdfmaterials and resources.
materials and resources.
In the following entries, you will find the necessary materials to work on each unit of the course.
Cover of the unit ( with contents, evaluation criteria, vocabulary and resources ).
Theory ( text document, presentation and videos).
Activities (exercises and problems sheet and examples) .
Complementary material (videos,ointeractive exercises, games,...).
Mini projects (to investigate or put into practice what you have learned).
En las siguientes entradas, encontrarás los materiales necesarios para trabajar cada unidad del curso.
Portada del tema ( con contenidos, criterios de evaluación y vocabulario y recursos ).
Teoría ( documento de texto, presentación y vídeos).
Actividades ( ficha de ejercicios y problemas y ejemplo resueltos).
Material complementario ( vídeos, ejercicios interactivos , juegos,...).
Miniproyectos ( para investigar o poner en práctica lo que has aprendido).
EXTRA THEORY BOOK AND INTERACTIVE ACTIVITIES
EXTRA THEORY BOOK AND INTERACTIVE ACTIVITIES
Complete Book with theory summaries ( English and Spanish ) and exercises elaborated by the brilliant teacher Javier Cayetano and other teachers of the IES Extremadura de Mérida.
Interactive activities in Geogebra from Javier Cayetano
math contest
math contest
matemático.es The game for learning and practising mathematics . You participate with students from other secondary schools across the country.
Units 1. Count with me ( Natural numbers and powers)
Units 1. Count with me ( Natural numbers and powers)
COVER
EXTRA THEORY
23-24 Unit 1_Count with me ( Natural numbers and powers).pdfUpdating page with the new materials for 25-26.
Updating page with the new materials for 25-26.
Actualizando la página con los nuevos materiales para el curso 25-26
Actualizando la página con los nuevos materiales para el curso 25-26
Learning situations with natural numbers
Learning situations with natural numbers
23_24_NumerosNaturales_ProblemasCotidianos en.pdfSituaciones de aprendizaje _NumerosNaturales.pdfLEARNING SITUATIONS
22_23_Learning situation 1 _ Unit 1 .pdf22_23_Learning situation 2_ Unit 1 .pdf22_23_learning situation 3_Unit 1.pdf22_23_Learning situation 4 _ Unit 1 .pdfWORKSHEET 1:SOLVING PROBLEMS
22_23_Worksheet 1 _Problems _Unit 1 .pdfWORKSHEET 2:OPERATIONS WITH NATURAL NUMBERS
22_23_Worksheet 2_Operations_ Unit 1.pdfWORKSHHET 3:VOCABULARY
22_23_Worksheet 3 _Vocabulary _ Unit 1.pdfWORKSHEET 4.POWERS AND ROOTS
22_23_Worksheet 4_Powers ans roots_ Unit 1.pdfWORKSHEET 5:POWERS AND ROOTS PROBLEMS
22_23_Worksheet 5_Powers ans roots problems_ Unit 1.pdfWORKSHEET 6.NATURAL NUMBERS REVIEW
22_23_Worksheet 6_Natural numbers review_ Unit 1.pdfWORKSHEET 7: DIVISIBILITY REVIEW
22_23_Worksheet 7_Divisibility review review_ Unit 1.pdfWORKSHEET 8: INTEGERS INTRODUCTION
22_23_Worksheet 8_Algebraic introduction to integers_ Unit 1.pdfWORKSHEET 9: INTEGERS OPERATIONS
22_23_Worksheet 7_Divisibility review review_ Unit 1.pdfINTEGERS PROBLEMS
22_23_Woeksheet problems.pdfWORKSHEET 10: INTEGERS REVIEW
22-23 _Worksheet 10 Unit 1 ( Integer).pdfINTEGERS CROSSWORD
Crucigrama_enteros.pdfMATHEMATICAL READINGS
22_23 Lectura matemática_ Trolls y Problemas.pdfPerfectSquaresandSquareRootsReferenceCharts-1.pdfSituaciones de aprendiozaje_Divisibilidad_ProblemasCotidianos.pdfnumeros-voladores2.pdfInteractive activities (Actividades interactivas)
Interactive activities (Actividades interactivas)
Juegos matemágicos... con números naturales ( del proyecto CREA de la Consejería de Educación de la Junta de Extremadura)
Review mcm and mcd ( by factoring) of Retomates
Units 4 and 5. Fractions and decimal numbers
Units 4 and 5. Fractions and decimal numbers
COVER
22-23 Cover Unit 4_Fractions.pdfTHEORY
22-23_Unit 4_Fractions.pdfINITIAL PROBLEMS
Fracciones_ProblemasCotidianos.pdfGAME 1
22-23 _Unit 4_Game 1_Fractions .pdfFractions in the number line
22_23_ fractions in number line activity.pdfInitial operations mazes
22_23_Easy operations maze.pdfOperations with Harry
21-22_Unit 2_Worsheet 2_Harry.docxInitial operations mazes ( Solutions)
22_23_initial operations maze solution.pdfWorksheet 1. Ejercicios de la profesora Vanesa Cervilla Romera
22-23 _Unit 4_Worksheet 1_Fractions .pdfWorksheet 2: Fractions Reinforcenmtent activities ( in Spanish)
22-23 _Unit 4_Worksheet 2_Fractions refoircement .pdfWorksheet 3. Decimal number problems
22-23 _Unit 4_Worksheet 3_Decimal numbers .pdfWorksheet 4: Everyday life problems ( in Spanish)
22_23_Unit 4_Worksheet 4_Decimales_ProblemasCotidianos.pdfInteractive activities (Actividades interactivas)
Interactive activities (Actividades interactivas)
Fractions models in Mathigon.org
Fractions ( part of a group) of Tutomates ( Review in Spanish with solutions)
Addition using bar models of bnewhous and others
Subtraction using bar models of bnewhous and others
Multiplication using bar models of bnewhous and others
Division using bar models in The Mathenaum
Why No One Wanted A&W's Third-Pound Burger ?
Why No One Wanted A&W's Third-Pound Burger ?
The A&W Restaurants brand launched a 1/3 pound hamburger to compete against McDonalds' successful 1/4 pound hamburger, but nobody bought it because they thought that 1/3 burgers were smaller than 1/4 burgers!!!
The mistake: considering that as 3 is smaller than 4, the fraction 1/3 is smaller than 1/4.
Listen to the story here (is Spanish ) and watch the funny new advert.
Unit 6. Proportionality
Unit 6. Proportionality
COVER
22-32 cover Unit 6.pdfTHEORY
22-23_Unit 6 Proportionality .pdfthe theory with videos :
the theory with videos :
Video 1: Ratios
Video 2 : Proportions
Video 3: Direct proportions
Video 4: Inverse proportions
ideos 5: Percentages
Videos from Math Antic, OAKS
INITIAL PROBLEMS
ProporcionalidadyPorcentajes_ProblemasCotidianos.pdfUnit 7. Introduction to algebra ( first degree equations)
Unit 7. Introduction to algebra ( first degree equations)
the theory with videos :
the theory with videos :
Video 2 :
Video 3:
Video 4:
Video 5:
Videos from Math Antic
INteractive activities :
INteractive activities :
Activity 1: Think of a number
Activity 2 : Numerical value 1 ( substitution)
Activity 3: Numerical value 2 ( substitution)
Activity 5:
Activities from Math is Fun, Transum
COVER
22-23_Portada_Unit 7_First degree equations.pdfTHEORY
21-22_Unit 5_First degree equations.pdfTHEORY SUMMARY
22_23_Unit 7_theory summary.pdfWorksheet 1. Algebraic language
22_23_Worksheet1_ Unit 7_algebraic language .pdfWorksheet 2. Numerical value
22_23_Worksheet 2 _Unit 4 _Numerical value.pdfWorksheet 3. Operations with algebraic expressions
22_23_Worksheet 3 _Unit 4-easy operations whit algebraic expression .pdfWorksheet 4. First degree equations
22_23 _Worksheet 4 _Unit 4 _easy equations solutions.pdfWorksheet 5. First degree equations ( brackets and denominators)
21_22 Worksheet 5_Unit 4_brakets and denominators equations.pdfWorksheet 6. Problems with algebra
21_22 Worksheet 6_Unit 4_problems.pdfUnit 8. Geometry I
Unit 8. Geometry I
INITIAL ACTIVITIES
INITIAL ACTIVITIES
Shapes factory of Mr Nussbaum
Line, ray and segment of Mr Nussbaum
Lines and angles in a city grid of Mr Nussbaum
Polígonos y sus elementos con Geogebra de Javier Cayetano
the theory with videos :
the theory with videos :
Video 1: Point, lines and planes
Video 2 : Angles
Video 3 : Polygons
Videos from Math Antic
Rectas y puntos notables de un triángulo con PAPIROFLEXÍA de la Universidad de Valladolid
COVER
22-23_Portada_Unit 8 _Geometry .pdfTHEORY
22_23_Unit 8_Geometry I.pdfTHEORY PRESENTATION (updating)
22_23-1º ESO-Unit 7_Geometry I.pptxWorksheet 1. Basic elements in the plane. Angles
22-23_Worksheet 1 Unit 8.pdfWorksheet 2. Polygons
22-23 _Worksheet 2 Unit 8.pdfWorksheet 3. Symmetry of polygons
22-23 _Worksheet 3 Unit 8.pdfWorksheet 4. Triangles. Pythagoras Theorem
22-23 _Worksheet 4 Unit 8.pdfWorksheet 4. Quadrilaterals
Worksheet 5. Circunference and circle
Unit 9. Geometry II
Unit 9. Geometry II
COVER
22-23_Cover_Unit9_Geometry II.pdfTHEORY
22_23_Unit 9_Geometry II.pdfWorksheet 1.
22_23_Worksheet 1 .pdfWorksheet 2.
mental arithmetic
mental arithmetic
Activity 1: Practiced mental arithmetic with this contest show
Activity 2 :The teacher David Pera Mora has created this magnificent App in which we will have fun with maths, solve challenges and compete with our classmates to get our badges.DO YOU DARE WITH RETOMATES?
Ready to travel back in time and escape from an erupting volcano?
Ready to travel back in time and escape from an erupting volcano?
Activity 1: Know your mission
Activity 2 : Use this book and go to this link to Escaping the volcano ( turn up the volume)
21_22_Dropped Notes for Students Pompeii.pdfUNIT 9: geometry Ii
UNIT 9: geometry Ii
21-22_Portada_Unit 9 _Geometry II.pdf21_22 Unit 9_Area and perimeter formula.pdfformulas-areas-resumen-imprimir.pdfUNIT 8: geometry I
UNIT 8: geometry I
21-22_Portada_Unit 8 _Geometry I.pdf21_22-1º ESO-Unit 8_Geometry I.pptx21_22_Unit 8_Geometry I.pdf21-22 _Worksheet 1 Unit 8.pdf21-22 _Worksheet 2 Unit 8.pdf21-22 _Worksheet 3 Unit 8.pdf21-22 _Worksheet 4 Unit 8.pdfUNIT 7: FUNCTIONS
UNIT 7: FUNCTIONS
- INITIAL ACTIVITY
Stock the shelves of Mr Nussbaum
Our friend Javier Cayetano has lost some objects in space. Can we help him to find them? Use this link
Plot your own points using Geogebra. Ask your partner to find its coordinates
the theory with videos :
the theory with videos :
Video 1: The coordinate grid
Video 2 : Functions
Video 3 : Linear functions
Videos from Math Antic
cover and theory
cover and theory
21-22_Cover_Unit7_Functions.pdf21-22 _Unit7_Functions.pdf
worksheets
worksheets
21-22 _Worksheet 1 Unit 7.pdf21_22 _ Ficha de ejercicios 2_Unidad 7_funcion-o-no-funcion.pdf21_22 Worksheet 3_Unit 7_Functions.pdf21_22_Worksheet 4_Unit 7 .pdf21-22 ways to express a functin game .pdfejer-fcnes-caracter.pdfrelaciona-problemas-graf-funcion.pdfplantillas-graficas.pdf21-22 _Worksheet 7 Unit 7.pdfFunctionScenarioGroupPosters-1.pdfUNIT 6: STATISTIC
UNIT 6: STATISTIC
cover and theory
cover and theory
21-22_Cover_Unit6_Statistic.pdf21-22 _Unit6 _Statistic.pdf21_22 _Worksheet 1_ Unit 6.pdf21_22 _Workshhet 2_ Unit 6.pdf21_22 _Workshhet 3_ Unit 6.pdf21_22 _Workshhet 4_ Unit 6.pdf21_22 _Workshhet 5_ Unit 6.pdf21-22_Unit 6_Examples.pdff you need help with statistics, el sensei de las mates can help you with these funny videos (in Spanish).
21_22 _Worksheet 6_ Unit 6.pdf
UNIT 5: first degree equations
UNIT 5: first degree equations
initial activities
initial activities
Activity 1 :
We used our EVA rubber to prepare material for the class. Remember that you cut out 20 red and 20 blue squares of 1 cm x 1 cm.
Then you are going to make your own algebraic tiles with thick EVA rubber
10 blue rectangles 1cm x 3cm
10 red rectangles of 1 cm x 3 cm
5 blue squares 3cm x 3cm
5 red squares of 3 cm x 3 cm
Practice with interactive algebraic tiles.
Activity 2: Think and answer this question: (De Francisco Durán Ceacero)
二加二等于多少
Activity 3 : Read and learn algebra with this comic (in Spanish ) of Santi Selvi & Zarzo
21_22_Comic_Algebra_Selvi_Zarzo.pdf
Activity 4: Investigating and extending geometric patterns
Form Siyavula technology powered learning ( Visit it for more geometric pattern to discover)
the theory with videos :
the theory with videos :
QuVideo 1: What is algebra?
Video 5: Solving problem with equations
Videos from Math Antic, Simpson Math and Laura Urban
interactive activities :
interactive activities :
In Spanish
Activity 1: Lenguaje algebráico
Activity 2: Monomios y polinomios
Activity 3: Valor numérico
Activity 4. Operaciones con monomios
Actividades de Javier Cayetano
In English
Activity 1: Easy equations and basketball
THEORY ( COMPLET)
If you have already printed the first part , print only part II (from page 9 to 20 ).
If you have already printed the first part , print only part II (from page 9 to 20 ).
21-22_Unit 5_First degree equations.pdf21_22 _Workshee1_ Unit 5 .pdf21_22 _Worksheet 2 _Unit 5 .pdf21_22 _Ficha de ejercicios 4_Unidad 5 .pdf21_22 _Worksheet 4 _Unit 5 .pdfcover and theory
cover and theory
21-22_Portada_Unit5_First degree equations.pdf21_22 _Worksheet 5 _Unit 5 .pdf21_22 _Worksheet 6 _Unit 5 .pdf21_22_Worksheet 7_Unit 7.pdf21-22 Worksheet 8_Unit 5.pdf21-22 Worksheet 9_Unit 5.pdf21_22 _Worksheet 6 _Unit 8 _solutions.pdfEasy equations solutions ( puedes ver las ecuaciones resueltas paso a paso en la página de materiales de 1º ESO no bilingüe )
UNIT 4: proportionality
UNIT 4: proportionality
Initial activities:
Initial activities:
Activity 1: Understanding the concept of ratio
Activity 2 : Recipe ratios
the theory with videos :
the theory with videos :
Video 1: Ratios ( Exercises 1 pag 3 , Initial activities ( level 1 to 4) , exercises 1 to 4 worksheet 1)
Video 2 : Proportions ( Exercises 2 to 5 pag 3 , exercises 5 to 15 worksheet 1)
Video 3: Direct proportions ( Worksheet 2 )
Video 4: Inverse proportions ( Worksheet 2)
EXTRA Video : Compound proportions
Videos 5: Percentages ( Exercises )
Videos from Math Antic, OAKS
interactive activities :
interactive activities :
In Spanish
Activity 1:types of relationship between quantities( Javier Cayetano)
Activity 2:Solve a proportion ( Javier Cayetano)
Activity 6: EntrREDes
In English
Activity 3: Intro to Classckick
Activity 4: Percentage basketball
Activity 5: Black Friday
21-22 portada Unidad 4.pdf21-22_Unit 4 Proportionality .pdf21_22_ resumen proporcionalidad.pdf21_22 _Worksheet 1 Unit 4.pdf21_22 _Worksheet 2 _ Unidad 4.pdf21_22 _Worksheet 4 _ Unit 4.pdfIf you need it , you can find the Spanish edition here
21_22 _Worksheet 3_ Unidad 4.pdf21_22 _Worksheet 5_ Unit 4.pdfChristmas activities:
Christmas activities:
2022 dodecahedron calendar
Fibonacci:
Fibonacci sequence ( Eduardo Saenz de Cabezón)
Fibonacci" Aventura del saber"
UNIT 3: Fractions and decimal numbers
UNIT 3: Fractions and decimal numbers
21-22 Portada Unidad 3_Fractions and decimal numbers.pdf21-22_Unit 3_Fractions and decimals.pdfWorksheet 1. Cut and paste activity, do not print double-sided.
21-22_Unit3_Worksheet 1.pdfWorksheet 2. Combined operations with fractions, celebrating the 20th anniversary of the first edition
21-22_Frcations Operations Harry.docx21-22 _Unit 3_Worksheet 3_Problems.pdf21-22 _Unit 3_Worksheet 4_Decimala.pdf21_22_Unit 3_Exam solution.pdfReading activity:
THE EXTRA CAMEL.docxdecimal numbers with videos.
decimal numbers with videos.
Video 1. Decimal numbers song ( exercises 7 to 14 pag. 13)
Video 2. Types of decimal number ( exercises 15 to 18 pag.15)
Video 3. Approximated numbers. ( exercise 19 pag 17)
decimales-apuntes.pdf decimal numbers with GAMES.
decimal numbers with GAMES.
Game 1. Pirate place value easy game
Game 2. Celebrities lunch line
Game 3. Half court rounding game
Game 4: Operations with decimal numbers( in Spanish)
Activity 5: Mental and written methods for add and subtract
Activity 6 : Mental and written methods for multpiply and divide
Activity 7: The book worm problem
Calculator activities:
Amazing maths.
Amazing maths.
UNIT 2: divisibility and integer NUMBERS.
UNIT 2: divisibility and integer NUMBERS.
We start with a bit of Mental arithmetic with natural numbers by professor Javier Cayetano.
Initial activity: Think and solve the following classic puzzle (version by Professor Francisco Durán Ceacero).
Two colleagues meet at the end of the years. After initial greetings, they ask each other about their families. One of them says:
I have 3 sons who have... By the way, you were good at maths! Well, listen: the product of their ages is 72 and the sum is exactly the number of the bus that is passing by. Do you see?
Yes, answers the friend; but... I'm missing a fact.
Ah, that's right, the eldest plays tennis.
How old are each of the children?
21_22 Portada Unidad 2_Divisbility and integer numbers .pdf21-22 Unit 2_Divisibilty and integer.pdfWORKSHEETS
21_22 _Worksheet 1 Unit 2.pdf21_22 _Worksheet 2 Unit 2 EN.pdf21-22 _Worksheet 3 Unit 2.pdf
Project: Sea of zeros
We use our eva rubber to prepare material for class.
You must cut out 20 red and 20 blue squares of 1 cm x 1 cm.
Design a system to transport them (envelope, bag,...).
ej-numeros-enteros-mar-ceros.pdfInstructions to work with our Sea of zeros.
We start working with your sea of zeros and the 20 tiles of the same size and shape of each colour that you have prepared.
Place all the pieces indicated in the centre (island).
Take as many as you can into the sea of zeros, knowing that in the sea of zeros there can only be pairs of tiles made up of one tile of each colour .
Write down which pieces are left in the centre, you have to write the number and the colour.
Halloween activities..
Click on the image and dare to enter the scary house.
Pulsa en la imagen y atreveté a entrar en la casa terrorifica
Do you want to continue practising with integers? How about a game of bowling?
¿Quieres seguir practicando con enteros? ¿ qué tal con una partida de bolos?
UNIT 1: NUMBERS.
UNIT 1: NUMBERS.
21-22 Cover Unit 1_Numbers.pdf21-22_Unit 1_Number.pdfWORKSHEETS
22_22 _Worksheet 1 Unit1.pdf004 _Number clasification.pdf005_sea of zeros and number line.pdf006_Properties of operations.pdfTeacher Mariel Mates' materials to practice in class.
Print out the two pages of the activity "Properties of operations" on one side only.
Materiales de la profesora Mariel Mates para practicar en clase.
Imprime a una sola cara las dos páginas de la actividad "Propiedades de las operaciones"
007_Laws of powers.pdfUNIT 1: NATURAL NUMBERS.
17-18Portada Unidad 1_Natural.pdf17-18 Unit 1_Natural.pdf18-19 _Worksheet 1 Unit1.pdfUNIT 2: DIVISIBILITY.
17-18_Portada Unidad 2_Divisibilidad.pdf17-18_Unit 2. Divisibility.pdf18-19 _Worksheet 1 Unit2.pdfEXAM SOLUTIONS UNIT 0, 1 AND 2 ( 19/10/2018)
18-19-1º ESO-P1_Ev_2.1.1_2.1.2_2.1.3_2.2.1_2.2.2_2.2.3_SOLUTIONS.pdfUNIT 3: INTEGER NUMBERS.
17-18 Portada Unidad 3_integer.pdf17-18_Unit 3 Integer.pdf18-19 _Worksheet 1 Unit 3.pdfEXAM SOLUTIONS: UNIT 3
18-19_soluciones_ex_U3_enteros.pdfUNIT 4: FRACTIONS.
17-18Portada_unit 4_fractions.pdfEnlace a la página de fracciones divertidas:
17-18Unit 7 Fractions.pdf18-19 _Worksheet 1 Unit4.docxUNIT 5: DECIMAL NUMBERS.
17-18_portada Unidad 5_decimales.pdf18_19_Unit 5_decimal.pdfVersión corregida , sin "bailes" en la numeración de ejercicios
UNIT 6: POWERS AND ROOTS.
17_18_Portada Unidad 6_ Powers and roots.pdf17_18_Unit 6_Power and roots.pdfUNIT 7: PROPORTIONS AND PERCENTAGES.
17-18 portada Unidad 7.pdf17-18 Unit 7 Proportionality.pdfUNIT 8: ÁLGEBRA.
17-18_Portada_Unit8_Algebra.pdf18-19_Unit 8_Algebra.pdfAlgebra_Selvi_Zarzo.pdf18-19 Worksheet 1_Unit 8.pdfUNIT 9: GEOMETRY.
17-18_Portada_Unit9_Geometry.pdf18-19Unit _Geometry.pdf
ejercicios T Pitagoras.pdfExam Solutions : P. 9.3
Solution P.9.4.pdfSolución P 9.4 II.pdfUNIT 10: GRAPHS AND FUNCTIONS.
18-19_Portada_Unit10_Graphs.pdf18-19 _Unit10_Grpahs.pdf18-19_Worksheet_Unit 10.pdfEste cuaderno de actividades se lo debemos Rubén P. Zamanillo, profesor de matemáticas en Astturias que comparte sus materiales con nosotros desde el blog La casa de Evaristo Noether
UNIT 11:STATISTIC.
18-19_Portada_Unit11_Statistic.pdf18-19 _Unit11_Statistic.pdf18-19_Worksheet_Unit 11_statistic.pdfEste cuaderno de actividades se lo debemos Rubén P. Zamanillo, profesor de matemáticas en Astturias que comparte sus materiales con nosotros desde el blog La casa de Evaristo Noether
cover and theory
cover and theory
21-22_Cover_Unit7_Functions.pdf21-22 _Unit7_Functions.pdf21-22-cover.pdf21-22_index.pdf22-23 Cover Unit 0_Numberss.pdfCOVER
22-23_Unit 0_Number.pdfTHEORY
23_24_NumerosNaturales_ProblemasCotidianos en.pdfGoogle Sites
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