This is a modification of the Illustrative Math lesson, "Ford and Logan add 45 + 36," https://www.illustrativemathematics.org/content-standards/tasks/2068. This lesson was used with a tier 3 fourth grade intervention math group to help students develop their understanding of place value and use of tens language when adding two digit numbers. I modified it to meet the students' needs by adding ways two other students (Sarah and Tammy) solved the problem: Sarah said, "I know 4 tens plus 3 tens is 7 tens; 5 ones plus 6 ones is eleven ones which is 1 ten and 1 one so 4 tens plus 3 tens plus 1 tens is 8 tens and the one left so the answer is 81." Tammy said, " 45 plus 30 is 75, plus 6 more is 81." Students analyzed and discussed all four methods and compared them to their own methods. I then had students practice using the tens and ones language (like Sarah) for some more addition problems without using place value blocks or models.

Big Idea: 3-digit numbers can contain a “hundred," which is equal to 10 groups of 10.
This lesson builds on previous lessons' work with two-digit numbers. The task asks students to model the three-digit number shown in the question according to guidelines, i.e. with only hundreds and tens. This approach gives students support in building three-digit numbers; the base ten blocks give students a jumping-off point for their thinking. For instance, they can immediately think about how they could show 21 in only ones instead of tens and ones.
Special Materials: Base Ten Blocks

Module 2 serves as a bridge from students' prior work with problem solving within 10 to work within 100 as students begin to solve addition and subtraction problems involving teen numbers. Students go beyond the Level 2 strategies of counting on and counting back as they learn Level 3 strategies informally called "make ten" or "take from ten."

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

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.

In this final module of the Grade 1 curriculum, students bring together their learning from Module 1 through Module 5 to learn the most challenging Grade 1 standards and celebrate their progress. As the module opens, students grapple with comparative word problem types. Next, they extend their understanding of and skill with tens and ones to numbers to 100. Students also extend their learning from Module 4 to the numbers to 100 to add and subtract. At the start of the second half of Module 6, students are introduced to nickels and quarters, having already used pennies and dimes in the context of their work with numbers to 40 in Module 4. Students use their knowledge of tens and ones to explore decompositions of the values of coins. The module concludes with fun fluency festivities to celebrate a year's worth of learning.

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

Up to this point in Grade K, students have worked intensively within 10 and have often counted to 30 using the Rekenrek during fluency practice. This work sets the stage for this module where students clarify the meaning of the 10 ones and some ones within a teen number and extend that understanding to count to 100.

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

(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 2 sirve como un puente del trabajo previo de los estudiantes con la resolución de problemas dentro de 10 para trabajar dentro de los 100 a medida que los estudiantes comienzan a resolver problemas de adición y resta con el número de adolescentes. Los estudiantes van más allá de las estrategias de Nivel 2 para contar y contarse a medida que aprenden estrategias de nivel 3 llamadas informalmente "hacer diez" o "tomar de diez".

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

English Description:
Module 2 serves as a bridge from students' prior work with problem solving within 10 to work within 100 as students begin to solve addition and subtraction problems involving teen numbers. Students go beyond the Level 2 strategies of counting on and counting back as they learn Level 3 strategies informally called "make ten" or "take from ten."

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

(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.

(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 final del plan de estudios de Grado 1, los estudiantes reúnen su aprendizaje del Módulo 1 al Módulo 5 para aprender los estándares de Grado 1 más desafiantes y celebrar su progreso. A medida que se abre el módulo, los estudiantes lidian con tipos de problemas de palabras comparativas. A continuación, extienden su comprensión y habilidad con decenas y números a 100. Los estudiantes también extienden su aprendizaje del módulo 4 a los números a 100 para sumar y restar. Al comienzo de la segunda mitad del módulo 6, los estudiantes se introducen en los monedas de montaña y cuartos, ya que ya han usado centavos y diez centavos en el contexto de su trabajo con los números a 40 en el módulo 4. Los estudiantes usan su conocimiento de decenas y otras para explorar las descomposiciones de los valores de las monedas. El módulo concluye con festividades divertidas de fluidez para celebrar un año de aprendizaje.

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

English Description:
In this final module of the Grade 1 curriculum, students bring together their learning from Module 1 through Module 5 to learn the most challenging Grade 1 standards and celebrate their progress. As the module opens, students grapple with comparative word problem types. Next, they extend their understanding of and skill with tens and ones to numbers to 100. Students also extend their learning from Module 4 to the numbers to 100 to add and subtract. At the start of the second half of Module 6, students are introduced to nickels and quarters, having already used pennies and dimes in the context of their work with numbers to 40 in Module 4. Students use their knowledge of tens and ones to explore decompositions of the values of coins. The module concludes with fun fluency festivities to celebrate a year's worth of learning.

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

(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.)

Hasta este punto en el Grado K, los estudiantes han trabajado intensamente dentro de 10 y a menudo han contado a 30 utilizando el Rekenrek durante la práctica de fluidez. Este trabajo prepara el escenario para este módulo donde los estudiantes aclaran el significado de los 10 y algunos dentro de un número adolescente y extienden esa comprensión para contar hasta 100.

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

English Description:
Up to this point in Grade K, students have worked intensively within 10 and have often counted to 30 using the Rekenrek during fluency practice. This work sets the stage for this module where students clarify the meaning of the 10 ones and some ones within a teen number and extend that understanding to count to 100.

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

This lesson was used with a tier 3 fourth grade intervention math group to help students to progress from counting by tens and ones to combining and separating by tens and ones without skip counting. I used this Illustrative Math lesson, https://www.illustrativemathematics.org/content-standards/tasks/2106, and modified it to meet the students' needs. I modified the lesson by doing only the activities in Part 3 and then extending this by modeling the equations, that matched the hundreds chart work, with base ten blocks. I also made sure students saw the pattern in adding ones and adding tens and encouraged the proper place value terms. For example, "4 + 3 = 7 so 4 groups of ten + 3 groups of ten = 7 groups of ten which is the same as 40 + 30 = 70." I then extended this by having students add numbers with tens and ones to number with tens and ones with and without regrouping and asked them to first model it on the hundreds chart and with base ten blocks and then do the addition without skip counting (first adding the tens and then the ones and then combine the results).