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Grade 4 Module 1: Place Value, Rounding, and Algorithms for Addition and Subtraction
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In this 25-day module of Grade 4, students extend their work with whole numbers.  They begin with large numbers using familiar units (hundreds and thousands) and develop their understanding of millions by building knowledge of the pattern of times ten in the base ten system on the place value chart (4.NBT.1).  They recognize that each sequence of three digits is read as hundreds, tens, and ones followed by the naming of the corresponding base thousand unit (thousand, million, billion).

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
05/11/2013
Grade 5 Module 2:  Multi-Digit Whole Number and Decimal Fraction Operations
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In Module 2 students apply patterns of the base ten system  to mental strategies and a sequential study of multiplication via area diagrams and the distributive property leading to fluency with the standard algorithm.  Students move from whole numbers to multiplication with decimals, again using place value as a guide to reason and make estimations about products. Multiplication is explored as a method for expressing equivalent measures in both whole number and decimal forms.  A similar sequence for division begins concretely with number disks as an introduction to division with multi-digit divisors and leads student to divide multi-digit whole number and decimal dividends by two-digit divisors using a vertical written method.  In addition, students evaluate and write expressions, recording their calculations using the associative property and parentheses.  Students apply the work of the module to solve multi-step word problems using multi-digit multiplication and division with unknowns representing either the group size or number of groups.  An emphasis on the reasonableness of both products and quotients, interpretation of remainders and reasoning about the placement of decimals draws on skills learned throughout the module, including refining knowledge of place value, rounding, and estimation.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
07/05/2013
Grouping and Grazing
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This intereactive Flash applet helps children learn grouping, tally marks, place value, addition, and subtraction. Students help the alien spaceship move cows into corrals by counting by 5s and 10s. They also can apply those grouping skills to practice adding and subtracting two-digit numbers with regrouping. Audio cues and prompts reinforce the user's actions and facilitate counting and the development of math language.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Date Added:
11/05/2000
How Many Days Until Summer Vacation?
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This task gives children an opportunity to subtract a three-digit number including a zero that requires regrouping. The solutions show how students can solve this problem before they have learned the traditional algorithm.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/12/2012
Kindergarten What Number Am I? Routine Third Quarter
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This google slide show organizes "What Am I?" number puzzles in a sequence by weeks. This particular selection has been chose for Kindergarten, third quarter use. Teachers can use these with students to promote number sense and precise mathematical vocabulary.

Subject:
Mathematics
Material Type:
Activity/Lab
Date Added:
03/06/2019
Largest Number Game
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This word problems helps students learn to build the biggest three-digit number given any three numbers between 0 and 9 to use as digits.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Let's Count to 20
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In this 6-lesson unit students develop concepts of number, relationships between numbers, and equality. They make groups of 10 to 20 objects, connect number names to the groups, compose and decompose numbers, and use numerals to record the size of a group. Each lesson includes visual, auditory, and kinesthetic activities, as well as student activity sheets, questions for teachers and students, ideas for assessment and extensions, and links to electronic applets.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Grace M. Burton - Towards A Good Beginning: Teaching Early Childhood Mathematics. Menlo Park, CA: Addison-Wesley, 1985
Date Added:
11/05/2000
Long Distance Airplanes
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In this math meets engineering activity, learners make paper airplanes and explore attributes related to increasing flight distances. Each learner collects data from three flights of the airplane and finds the median distance. Learners then collect, organize, display, and interpret the median distances for the group in a stem-and-leaf plot. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
NCTM Illuminations
National Council of Teachers of Mathematics
Thinkfinity/Verizon Foundation
Date Added:
11/09/2012
Módulo 2 de grado 2: adición y resta de unidades de longitud
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(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

En este módulo de grado 2 de 12 días, los estudiantes participan en actividades diseñadas para profundizar su comprensión conceptual de la medición y para relacionar la suma y la rest sometida a la longitud. Su trabajo en el Módulo 2 está exclusivamente con unidades métricas para respaldar conceptos de valor de lugar. Las unidades habituales se introducirán en el Módulo 7.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
In this 12-day Grade 2 module, students engage in activities designed to deepen their conceptual understanding of measurement and to relate addition and subtraction to length.  Their work in Module 2 is exclusively with metric units in order to support place value concepts.  Customary units will be introduced in Module 7.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
05/11/2013
Módulo 2 de grado 5: Operaciones de fracción de número entero y fracción de decimales de múltiples dígitos
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(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

En el módulo 2, los estudiantes aplican patrones del sistema Base Ten a las estrategias mentales y un estudio secuencial de multiplicación a través de diagramas de área y la propiedad distributiva que conduce a la fluidez con el algoritmo estándar. Los estudiantes se mueven de números enteros a multiplicación con decimales, nuevamente utilizando el valor del lugar como guía para la razón y hacer estimaciones sobre los productos. La multiplicación se explora como un método para expresar medidas equivalentes tanto en el número entero como en las formas decimales. Una secuencia similar para la división comienza concretamente con discos numéricos como una introducción a la división con divisores de múltiples dígitos y lleva al estudiante a dividir los dividendos de número entero y decimales de múltiples dígitos por divisores de dos dígitos utilizando un método escrito vertical. Además, los estudiantes evalúan y escriben expresiones, registrando sus cálculos utilizando la propiedad asociativa y los paréntesis. Los estudiantes aplican el trabajo del módulo para resolver problemas de palabras de varios pasos utilizando multiplicación y división de múltiples dígitos con incógnitas que representan el tamaño del grupo o el número de grupos. El énfasis en la razonabilidad de los productos y los cocientes, la interpretación de los restos y el razonamiento sobre la colocación de decimales se basa en las habilidades aprendidas en todo el módulo, incluido el conocimiento del valor del lugar, el redondeo y la estimación.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
In Module 2 students apply patterns of the base ten system  to mental strategies and a sequential study of multiplication via area diagrams and the distributive property leading to fluency with the standard algorithm.  Students move from whole numbers to multiplication with decimals, again using place value as a guide to reason and make estimations about products. Multiplication is explored as a method for expressing equivalent measures in both whole number and decimal forms.  A similar sequence for division begins concretely with number disks as an introduction to division with multi-digit divisors and leads student to divide multi-digit whole number and decimal dividends by two-digit divisors using a vertical written method.  In addition, students evaluate and write expressions, recording their calculations using the associative property and parentheses.  Students apply the work of the module to solve multi-step word problems using multi-digit multiplication and division with unknowns representing either the group size or number of groups.  An emphasis on the reasonableness of both products and quotients, interpretation of remainders and reasoning about the placement of decimals draws on skills learned throughout the module, including refining knowledge of place value, rounding, and estimation.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
07/05/2013
Módulo de grado 1 4: valor en el lugar, comparación, adición y resta a 40
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(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

El módulo 4 se basa en el módulo 2 s trabajo con el valor del lugar dentro de 20, ahora centrándose en el papel del valor del lugar en la adición y resta de los números con 40. Los estudiantes estudian, organizan y manipulan números dentro de los 40. Comparan cantidades y comienzan a usar Los símbolos para mayores que (>) y menores de (<). La adición y la resta de TENS es otro foco de este módulo, al igual que el uso de estrategias familiares para agregar números de dos dígitos y de un solo dígito dentro de 40. Cerca del final del módulo, el enfoque se mueve a nuevas formas de representar grandes cantidades y agregar Al igual que las unidades de valor colocadoras, ya que los estudiantes agregan números de dos dígitos.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
Module 4 builds upon Module 2’s work with place value within 20, now focusing on the role of place value in the addition and subtraction of numbers to 40.  Students study, organize, and manipulate numbers within 40.  They compare quantities and begin using the symbols for greater than (>) and less than (<).  Addition and subtraction of tens is another focus of this module as is the use of familiar strategies to add two-digit and single-digit numbers within 40.  Near the end of the module, the focus moves to new ways to represent larger quantities and adding like place value units as students add two-digit numbers.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
09/25/2013
Módulo de grado 2 1: sumas y diferencias a 20
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(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

El módulo 1 establece la base para que los estudiantes dominen las sumas y diferencias a 20 y posteriormente apliquen estas habilidades para agregar con fluidez un dígito a los números de dos dígitos al menos a través de 100 utilizando entendimientos de valor de lugar, propiedades de las operaciones y la relación entre la adición y sustracción.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
Module 1 sets the foundation for students to master the sums and differences to 20 and to  subsequently apply these skills to fluently add one-digit to two-digit numbers at least through 100 using place value understandings, properties of operations and the relationship between addition and subtraction.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
05/11/2013
Módulo de grado 4 1: Valor local, redondeo y algoritmos para suma y resta
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CC BY-NC-SA
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(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

En este módulo de 25 días de grado 4, los estudiantes extienden su trabajo con números enteros. Comienzan con grandes números utilizando unidades familiares (cientos y miles) y desarrollan su comprensión de millones al desarrollar el conocimiento del patrón de tiempos diez en el sistema Base Ten en la tabla de valor del lugar (4.nbt.1). Reconocen que cada secuencia de tres dígitos se lee como cientos, decenas y, seguidas de la denominación de la base correspondiente, mil unidad (mil, millones, mil millones).

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
In this 25-day module of Grade 4, students extend their work with whole numbers.  They begin with large numbers using familiar units (hundreds and thousands) and develop their understanding of millions by building knowledge of the pattern of times ten in the base ten system on the place value chart (4.NBT.1).  They recognize that each sequence of three digits is read as hundreds, tens, and ones followed by the naming of the corresponding base thousand unit (thousand, million, billion).

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
05/11/2013
Okta's Rescue
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This interactive Flash game helps students practice counting, subitizing, and grouping by 10s, as they transport Okta the Octopus and his friends to a safe ocean. The goal is to select given numbers of Oktas as quickly as possible before the timer runs out. Then users count the total number of Oktas "saved" and identify that number on a number line. Students choose from three levels of difficulty, which vary according to time limit, range of target numbers, and whether visual target cues appear. These settings are customizable. Users who count incorrectly are given the option of visual help in recounting.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Date Added:
11/05/2000
One, Ten, and One Hundred More and Less
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CC BY-NC-SA
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This task acts as a bridge between understanding place value and using strategies based on place value for addition and subtraction.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Ordering 3-digit numbers
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CC BY-NC-SA
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In this ordering task each number has at most 3 digits so that students have the opportunity to think about how digit placement affects the size of the number.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Party Favors
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CC BY-NC-SA
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The point of this task is to emphasize the grouping structure of the base-ten number system, and in particular the crucial fact that 10 tens make 1 hundred.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Pick-a-Path
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This mobile app (available for both iOS and Android devices) was developed by the National Council of Teachers of Mathematics with funding from Verizon Foundation. The app is based on the Decimal Maze from the popular lesson "Too Big or Too Small". The goal is to help Okta reach the target (maximum, minimum, or a specific value) by choosing a path from the top of the maze to the bottom — adding, subtracting, multiplying and dividing as the player goes. Seven levels with seven puzzles in each level test the player's skills with operation with powers of ten, negative numbers, fractions, decimals, and exponents.

Subject:
Algebra
Mathematics
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Verizon Foundation
Date Added:
11/05/2012
Pick-a-Path Instructional Guide:Using Pick-a-Path in Grades 3-7.
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This instructional guide (PDF) is for the mobile app Pick-a-Path (both iOS and Android platforms). The guide provides professional development by discussing the math in each level of the game, giving suggestions for classroom use, and recommending related resources from Illuminations. The Pick-a-Path app is cataloged separately and listed as a related resource.

Subject:
Algebra
Mathematics
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Lisa Willman
Date Added:
11/05/2012