Unit 2.7: Numbers Greater than 100
Big Idea: Just as 10 ones make 1 ten, 10 tens make 1 hundred and 10 hundreds make 1000. Counting, writing, and comparing numbers greater than 100 requires understanding of the value of each place.
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Unless otherwise noted, SFUSD Math Core Curriculum is licensed under the Creative Commons Attribution 4.0 International License
Teacher-facing pages are green
Student-facing pages are white
notes for teachers are in the speaker notes
New Learning:
Re-engagement:
*Note: the priority guidance for distance learning emphasizes the conceptual understanding of three-digit numbers, and the standard 2.NBT.8 Mentally add 10 or 100 to a given number 100–900, and mentally subtract 10 or 100 from a given number 100–900.
The priority guidance for distance learning de -emphasizes the amount of practice on counting by ones, reading/writing, and comparing numbers.
Synchronous and Asynchronous Teaching Options:
Use a combination of Synchronous and Asynchronous approaches
| Launch | Explore | Summarize |
Synchronous (live) Whole class or small group |
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Asynchronous (time-delayed) Individual |
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Suggested Lesson Sequence: Feb. 1 - 19, 7 lessons to be taught over 3 weeks
Description
Students create three-digit numbers on a place value mat with Base-10 blocks. They record the numbers as sketches and in expanded form and compare them. Students put numbers in order on an open number line.
Lesson 1: Entry Task Seesaw Lesson 1 (Spanish)
Lesson 2: LS 1 Day 1 & 2 Seesaw Lesson 2 Spanish- 3-digit Numbers
Lesson 3: Apprentice Task Seesaw Lesson 3 (Spanish)- Card Sort
Description
Students construct a 1,000 chart, locate benchmark numbers on it, and practice navigating around the chart starting at the benchmark numbers using patterns they find.
Lesson 4: LS 2 Day 1 & 2 Seesaw Lesson 4 (Spanish) - 1000 Chart
Lesson 5: Expert Task Seesaw Lesson 5 (Spanish) - Number Jumping
Description
Students solve puzzles on pieces of the Thousand Chart. They re-engage with the core ideas of the unit through puzzles, and games.
Lesson 6: LS 3 Day 1 Seesaw Lesson 6 (Spanish) - Puzzles on the 1000 Chart
Lesson 7: LS 3 Day 2 Seesaw Lesson 7 (Spanish) - More Number Puzzles, Seesaw Lesson 7 (Spanish) - Number Lines, Seesaw Lesson 7 (Spanish) - True or False
Lesson 8: Milestone Task Seesaw Lesson 8 (Spanish)
Independent Practice & Technology Resources
Tools from the Math Learning Center
Tools from the Conceptua Math
3-Act Tasks
Cover the Floor is a 3-Act Task that gives a context for using and comparing numbers beyond 100. (2.OA.4)
Check the online Resources for Fluency Practice Folder for many other resources.
Optional Routines
Daily Routine: Number of Days in School
Objective: To build one-to-one correspondence, lay the foundation for an understanding of place value, and give students a concrete sense of the magnitude of numbers up to 180 and their relationship to the passage of time.
See the Number of Days in School (Spanish) slides for a description of how to incorporate this routine into your lessons.
Daily Routine: Counting Routine
Objective: To provide students opportunities to count forward and backwards by various whole numbers and decimals, developing an understanding of patterns in counting, addition and subtraction (and later multiplication) and place value. See the Counting Routine slides for a description of how to incorporate this routine into your lessons.
Emphasis for this unit: Skip counting back from any number by 10. Skip counting from any number by tens is very important for building understanding of and fluency with two-digit addition and subtraction.
Daily Schedule
Description: In 2nd grade, students learn to tell time to the nearest 5 minutes. The Daily Schedule will help students see how the events of the day align with these times. The Daily Schedule should be proportional, so that students begin to notice that the length of time spent on an activity can be seen on the schedule.
Objective: To provide opportunities for students to develop their sense of time. This important routine has helped build students’ sense of time and clock literacy since the beginning of the year
Routine: Review the sequence of activities of the day and the time each one starts. Note that in 1st grade, students read time to the half hour.
Reading time to the nearest 5 minutes is new in 2nd grade
Routine: Data Routine
Objective: The Data Routine has both social and a math objectives:
Social
Math
See the Data Routine slides for a description of how to incorporate this routine into your lessons.
Objective: To focus attention on a single number to build understanding and recognition, and to help students grow in the ways they think about numbers and operations by sharing ideas with their peers about how to represent numbers.
Present students with a number. They generate a variety of representations of the number, including drawings, equations, and visual models. This can be done mentally, with paper and pencil, or on virtual white boards or the provided Jamboard. Work does not have to be limited to equations, but can include:
Types of numbers can be adapted to the grade level and unit content.
Reflections questions may include “What do you notice/wonder?” or “What is similar/different between representations?
Use Jamboard Number of the Day (Spanish) to record or have students record representations.
Jamboard Number of the Day TEMPLATE
Make a copy and write your number of the day
Number of the Day
This routine was introduced in Unit 2.3 and has been part of the Math Routines since then. Until now, students focused on 2-digit numbers. In this unit, you will extend the routine to numbers greater than 100.
Frequency: Daily or Weekly
Objective: To help students grow in the ways they think about numbers and operations.
Materials: Base-10 blocks, Completed Thousand Chart BLM, a class number line
Directions:
Present students with a number. They generate a variety of representations of the number, including drawings, equations, and examples. This can be done mentally or with paper and pencil. Work can include:
Variations for this routine can be found here. Start with friendly numbers (multiples of 10, then 5 and/or 2) greater than 100. Gradually make the numbers more challenging.
Questions to ask:
125
Número del día
Muestra el número con bloques de base-10
1 centena + 3 decenas + 5 unidades 0 12 decenas + 5 unidades
Muéstralo en la tabla de 1000
Math Talks
2 decenas + 5 decenas
O
6 unidades + 2 decenas
¿Cuál es más grande?
1 decenas + 7 unidades
o
17 unidades
¿Cuál es más grande?
1 centena + 5 decenas + 3 unidades
o
1 centena + 3 decenas + 5 unidades
¿Cuál es más grande?
3 centenas + 5 decenas
o
3 centenas + 5 unidades
¿Cuál es más grande?
5 centenas + 2 decenas
o
502
¿Cuál es más grande?
Number Lines: What’s the Number?
Students name a missing number and justify their reasoning.
Question: What could the number be?
Response: I think it’s...because...
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Math Talks
¿Qué podría ser el número?
¿Qué podría ser el número?
¿Qué podría ser el número?
2.7 Lesson 1 : Entry Task
Whole Class or Groups:Launch - Introduce Numbers Greater than 100
Independent work: Explore - Seesaw Lesson 1 (Spanish) Entry Task, 0–9 digit cards, Place Value Mat .S. .C. , How High? Recording Sheet .S. .C.
Students play a game in which they write and represent successively larger numbers using base-10 blocks.
Whole Class or Groups: Summarize: Discuss how they knew what the largest number they could make with a given pair of digits was. Ask: If I had a 5 and an 8, what’s the largest number I could make? How do you know? Ask some students to tell you what number(s) they reached. Practice orally saying the numbers, and drawing them
Core Math to Emphasize: Ten tens is a new unit called a “hundred.” The digits in a three digit number represent the number of hundreds, tens, and ones. The farther to the left a digit is, the greater its value.
Normas Matemáticas
27
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
Números mayores que 100
INICIO |
1 |
¿Cómo podemos contar números largos?numbers?
INICIO |
1 |
decenas
unidades
centenas
decenas
unidades
Escoge 2 cartas de números:
6
8
3
1
2
4
0
9
5
7
INICIO |
1 |
8
3
INICIO |
1 |
Ronda 2: Escoge 2 más cartas de números
6
8
3
1
2
4
0
9
5
7
INICIO |
1 |
3
2
centenas
decenas
unidades
INICIO |
1 |
Ronda 3: Escoge 2 más cartas de números
6
8
3
1
2
4
0
9
5
7
INICIO |
1 |
6
1
centenas
decenas
unidades
INICIO |
1 |
borrador
Cartas de números
EXPLORAR |
2 |
80 + 3
30 + 2
60 + 1
100 + 70 + 6
10 >
20
......
.
Dibujo matemático de Bloques de Base-10
10 decenas es una nueva unidad llamado “centena”.
RESUMIR |
3 |
2.7 Lesson 2 : LS 1 Day 1 & 2
Whole Class or Groups:Launch - Review the idea that the three digits of a three-digit number represent the number of hundreds, tens, and ones.
Independent work: Explore -Seesaw Lesson 2 (Spanish)- 3-digit Numbers, What’s the Largest Number S. .C.
Students create three-digit numbers on a place value mat with Base-10 blocks. They record the numbers as sketches and in expanded form and compare them.
Whole Class or Groups: Summarize: Use the example given, or 4 numbers your students generated. Discuss and place them on the number line - have students justify their placement. Ask them to explain how they know. Core Math to Emphasize: The three digits of a three-digit number represent the number of hundreds, tens, and ones. Numbers can be compared by comparing corresponding places. On a number line, the larger numbers are to the right of smaller numbers.
Normas Matemáticas
41
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
¿Qué representan los números en cada lugar?
42
El 1 significa 1 centena (100)
El 6 significa 6 decenas (60)
El 4 significa 4 unidades (4)
100 + 60 + 4 = 164
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
Escoge 3 cartas de números:
6
8
3
1
2
4
0
9
5
7
INICIO |
1 |
3
2
4
centenas
decenas
unidades
INICIO |
1 |
3
2
centenas
decenas
unidades
4
INICIO |
1 |
400 + 30 + 2
..
.
Dibujo matemático de Bloques de Base-10
Notación expandida:
400
30
2
400
30
2
INICIO |
1 |
EXPLORAR |
2 |
EXPLORAR |
2 |
206 621 266 130
RESUMIR |
3 |
Observa y pregunta...
RESUMIR |
3 |
2.7 Lesson 3 : Apprentice Task
Whole Class or Groups:Launch - Which one is greater? How do you know?
Independent work: Explore - Seesaw Lesson 3 (Spanish)- Card Sort Card Sort BLM .S. .C.
Students match different representations of three-digit numbers: base-10 blocks,, expanded form, and number lines.
Whole Class or Groups: Summarize:
Core Math to Emphasize: The same number can be represented in different ways: Using base-10 blocks, words, expanded form, and on a number line. Each representation helps us see something different about the number.
Normas Matemáticas
52
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
¿Cuál es mayor?
INICIO |
1 |
INICIO |
1 |
INICIO |
1 |
3 centenas, 2 decenas y 3 unidades
O
300 + 20 + 3
INICIO |
1 |
INICIO |
1 |
EXPLORAR |
2 |
EXPLORAR |
2 |
RESUMIR |
3 |
RESUMIR |
3 |
2.7 Lesson 4 : LS 2 Day 1 & 2
Whole Class or Groups:Launch -
Independent work: Explore - Seesaw Lesson 4 (Spanish)- 1000 Chart, , 1000 Chart BLM, Completed Thousand Chart BLM
Whole Class or Groups: Summarize:
Core Math to Emphasize: Just as 10 ones make a ten, and 10 tens make a hundred, so 10 hundreds make a thousand. Patterns within 100 are repeated with larger numbers. There are also new patterns in the 1,000 chart. Using benchmark numbers, skip counting and chunking are strategies that can help you efficiently move around a 1000 chart.
Students find 3 digit numbers on the 1,000 chart relative to benchmark numbers.
Skip Counting Routine: Counting Routine
Objective: To practice counting in groups. This builds number sense by elucidating patterns such as odd/even; it brings out patterns in addition and subtraction.
Skip counting has been an important routine since the beginning of the year. Your class may have already ventured past 100 during this routine. If not, you will do so now.
In this unit, students formally go beyond 100. This routine is used as a warm-up for a number of lessons in this unit.
See the Skip Counting Routine Teacher page for the skip counting emphasized in this unit.
Materials: Interactive 1000 Chart base-10 blocks, Completed Thousand Chart BLM, a class number line (see Number Talks.)
Example: Start at 200 and count by 10s
What patterns do you notice?
“I notice that _____.”
Use the slider to make the board go beyond 100.
Example: Start at 154 and count by 10s
What patterns do you notice?
“I notice that _____.”
Use the slider to make the board go beyond 100.
Normas Matemáticas
66
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
Use the slider to make the board go beyond 100.
INICIO |
1 |
INICIO |
1 |
Escoge 3 cartas de número:
6
8
3
1
2
4
0
9
5
7
INICIO |
1 |
2
4
3
centenas
decenas
unidades
INICIO |
1 |
INICIO |
1 |
EXPLORAR |
2 |
101 - 200 201-300 301-400
EXPLORAR |
2 |
401 - 500 501-600 601-700
EXPLORAR |
2 |
701 - 800 801-900 901-1000
EXPLORAR |
2 |
RESUMIR |
3 |
¿Qué patrones observas?
RESUMIR |
3 |
¿Qué patrones observas?
+ / -1 del fin de la hilera
RESUMIR |
3 |
¿Qué patrones observas?
RESUMIR |
3 |
Maneras de Representar números de 3 dígitos | ||
Número (escrito o con cartas de valor posicional) 423 | | Dibujos de bloques de base-10 |
Número en palabras: Cuatrocientos veinte y tres | ||
Número en forma expandida: 4 centenas, 2 decenas, y 3 unidades o 400 + 20 + 3 | ||
Recta numérica | ||
Tabla de 1000: |
RESUMIR |
3 |
2.7 Lesson 5 : Expert Task
Whole Class or Groups:Launch -
Independent work: Explore - Seesaw Lesson 5 (Spanish) - Number Jumping, Place Value Mat .S. .C. , Number Jumping .S. .C.
Whole Class or Groups: Summarize:
Core Math to Emphasize: Using patterns on the 1000 chart can help us identify numbers that are 1, 10, or 100 greater or less than an initial three-digit number.
Students create a 3-digit number and locate it on the 1000s chart. They find numbers that are 1 more, 1 less, 10 more, 10 less, 100 more, and 100 less.
Normas Matemáticas
82
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
INICIO |
1 |
INICIO |
1 |
del fin de la hilera
Escoge 3 cartas de número:
6
8
3
1
2
4
0
9
5
7
INICIO |
1 |
5
9
0
INICIO |
1 |
centenas
decenas
unidades
INICIO |
1 |
EXPLORAR |
2 |
EXPLORAR |
2 |
EXPLORAR |
2 |
524
RESUMIR |
3 |
Baja una hilera en la tabla de 1000:
Agrega otra decena:
Agrega una decena al lugar de decenas:
Usa cartas de valor posicional:
Explica como sabes que 246 + 10 = 256.
RESUMIR |
3 |
2.7 Lesson 6 : LS 3 Day 1
Whole Class or Groups:Launch -Skip Counting Routines on the Interactive 1000 Chart- Look for patterns
Independent work: Explore - Seesaw Lesson 6 (Spanish) - Puzzles on the 1000 Chart, Puzzles on a Thousand Chart, Completed Thousand Chart BLM
Whole Class or Groups: Summarize:
Core Math to Emphasize: Using patterns on the 1000 chart can help identify numbers that are 1, 10, or 100 greater or less than an initial three-digit number.
Students solve missing number puzzles on pieces of the Thousand Chart.
Normas Matemáticas
94
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
INICIO |
1 |
Observa y pregunta...
INICIO |
1 |
Yo sé que el número es ___ por qué ____________.
INICIO |
1 |
Haz tu propio rompecabeza de 1000
INICIO |
1 |
EXPLORAR |
2 |
Haz tu propio rompecabeza de 1000
EXPLORAR |
2 |
Los rompecabezas de tablas de 1000 de nuestros amigos
69
47
173
870
769
900
RESUMIR |
3 |
2.7 Lesson 7 : LS 3 Day 2
Whole Class or Groups:Launch - Today is a re-engagement day. You should choose from the following routines and activities depending on the needs of your students
Independent work: Explore -
Whole Class or Groups: Summarize: This will depend on your students’ needs.
Core Math to Emphasize: Any of the core math from the unit that you feel students could benefit from revisiting.
Students re-engage with any of the ideas in the unit with puzzles, centers, or games.
Normas Matemáticas
103
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
1 centena + 5 decenas + 3 unidades
o
1 centena + 3 decenas + 5 unidades
¿Cuál es mayor?
¿Qué número podría ser?
125
Número del día
Muestra el número con bloques de base-10
1 centena + 3 decenas + 5 unidades 0 12 decenas + 5 unidades
Muéstralo en la tabla de 1000
INICIO |
1 |
INICIO |
1 |
Mayor que
Menor que
Igual a
2 grupos con un número igual de estudiantes:
2 grupos con un número desigual de estudiantes:
EXPLORAR |
2 |
EXPLORAR |
2 |
EXPLORAR |
2 |
EXPLORAR |
2 |
2.7 Lesson 8 : Milestone Task
Whole Class or Groups:Launch -
Remind students of everything they’ve been learning about numbers greater than 100
Read the instructions for the task together, answering any clarifying questions.
Independent work: Explore - Seesaw Lesson 8 (Spanish) - Milestone Task, Card Collection BLM .S. .C.
Pg.1 - Pick 3 number cards by :eraser: three green dots.
Make three 3-digit number with those cards.
Pg. 2 - Pick 1 number and use the Base-ten Blocks to build it on the Place Value Mat
Pg.3 - Answer the questions for your number
Pg. 4 - Write your number in expanded form
Pick two 3-digit numbers and compare them using < or >
Whole Class or Groups: Summarize: Card Collection Answer Guide and Card Collection Rubric Bring students together and discuss any of the questions that will help bring focus to the core math. Core Math to Emphasize:
Students compose 3-digit numbers. They choose one number and represent it with base-10 blocks and in expanded form, and find numbers that are 1, 10, and 100 more and less than the number. Finally, they compare two of the numbers.
Normas Matemáticas
114
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
Números mayores que 100
INICIO |
1 |
EXPLORAR |
2 |
EXPLORAR |
2 |
EXPLORAR |
2 |
EXPLORAR |
2 |
RESUMIR |
3 |