Math
What does 100look like?Students are often captivated by the huge jump in base ten blocks when going from 10 to 100 (to say nothing of the leap to 1,000!):
![](https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/base-ten-blocks-one-ten-hundred-100-gumballs-activity.jpg)
The number 100 is a big number, for sure. There's a lot you can buy with $100. If you do 100 repetitions, that’s a major exercise. And after 100 days of school, you can celebrate how much you’ve accomplished—with a 100th Day of School gumball machine printable!
100th Day Gumball Machine Project
With gumballs, not only can you help students visualize 100, but you can also do it in color and with candy. Use our free 100th Day gumball machine templates and the activities below to celebrate. We've got worksheets and activities, whether you want the gumballspre-filled with numbersornot!
100 Gumball Machine Without Numbers
Count to 100:Are your students still mastering counting? Give them a feel for just how big 100 is—in gumball form! Let them pick any gumball to start with a label it “1.” Then, have them label every gumball a different number until they get to “100.” Can they do it so that every gumball is touching the next one?
- Grades PreK–K
- Count to 100 (K.CC.A.1)
Cluster Color:Have students group all of the gumballs into clusters of 2, 4, 5, 10, 20, 25, or 50. Then have them color each cluster the same color. What equations can they make based on how they colored the gumballs?(例如,如果他们选择的20岁的情商uation could be 20 + 20 + 20 + 20 + 20 = 100.)
- Grades K–2
- Add within 100 (1.NBT.C.4)
Base Exploration:Some students may be interested in how numbers don’t actually have to be in base 10! We can imagine a world in which the digits “stop” at 8 instead of 9, so counting would look like “…5, 6, 7, 8, 10, 11, 12, 13….” Or we can imagine a world in which there’s another digit after 9 that we could label A: “…5, 6, 7, 8, 9, A, 10, 11, 12, 13….” If you’re interested in exploring this part of mathematics with students, show them what it means to be in a base other than 10, then have them count 100 gumballs in a different base.
- Grades 9–12
- Reason abstractly about number systems (Math Practice MP2)
![](https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/100th-day-of-school-free-resource-banner-without-numbers.jpg)
100 Day Gumball Machine with Numbers
Prime Project:Turn the gumball machine into a prime project. Have students color the number 2 black, then allmultiplesof 2 one color. Then have them color 3 black, then all remainingmultiplesof 3 a different color. Repeat this process with every number left uncolored: 5, 7, 11, and so on until there are no more gumballs left to color. Why are all theprimegumballs black? And what’s special about 1?(Answer: By coloring all multiples of a number, you color every composite number, leaving only the original prime number black. The number 1 is unique because it's a factor ofeverynumber, so it is not considered prime.)
- Grades 3–5
- Gain familiarity with factors and multiples (4.OA.B.4)
20 Questions:Choose one of the gumballs. One at a time, students get to ask a yes/no question about the gumball you chose. For example, “Is the number even?” “Does the number contain a zero?” “Is the number prime?” How many questions does it take until a student correctly guesses the number? Once a student does, switch it up! Now that student chooses a number and has to answer everyone else’s questions.
- Grades 3–8
- Generalize numerical patterns and place value understanding for multi-digit whole numbers (4.NBT.A)
Guess My Rule:Looking to turn the 100-day gumball machine into a game? Let students come up with a rule for coloring the gumballs. Here are some examples:
- 1–10 are one color. 11–20 are a different color. And so on for every set of 10 gumballs.
- Even numbers are blue, odd numbers are either red (end in 1 or 3) or yellow (end in 5, 7, or 9)
- If the first digit islessthan the second digit, color the gumball blue. If it’sgreaterthan the second digit, color the gumball purple. If all digits are equal, color the gumball green.
Students then pass their final coloring to another student (or send a photo if completing online), and the other student tries to figure out the rule.
- Grades 3–8
- Understand the meanings of place value digits (4.NBT.A.2)
![](https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/100th-day-of-school-free-resource-banner-with-numbers.jpg)
***
寻找更多的数学内容,将激发passionate learners and nurture budding mathematicians? Explore whetherHMH Into MathandInto AGAare right for your school.
Related Reading
-
7 High-School Icebreakers for the First Day of School
Brenda Iasevoli
ShapedExecutive EditorRichard Blankman
ShapedEditor -
8 Fun Constitution Day Activities for Students: We the People
Brenda Iasevoli
ShapedExecutive Editor -
2023–2024 Monthly Calendar Themes for School
Shaped Staff
CORE CURRICULUM
HMH Social Studies, 6-12
SEE ALL SOCIAL STUDIES
AP & ELECTIVES
AP Human Geography
Personal Finance
SEE ALL SOCIAL STUDIES
AP & ELECTIVES
SUPPLEMENTAL
Connected Teaching and Learning
HMH’s Connected Teaching and Learning integrates assessment, core instruction, supplemental practice, intervention, and professional learning all on one platform.
Professional Development
Providing professional development for teachers, HMH’s professional learning courses, coaching, and leadership advisory supports educators every step of the way.
Keeping It Current For Grades 6–12
Each month we bring you videos, articles, and current events designed to build cultural awareness, media literacy, and a deeper understanding of significant historical figures and events.
For Teachers
Coaching Membership
Teacher's Corner
Live Online Courses
SEE ALL PROFESSIONAL DEVELOPMENT
For Leaders
The Center for Model Schools (formerly ICLE)
Intervention Curriculum
HMH's K-12 intervention programs are built on 20+ years of proven results. We can help teachers develop an intervention curriculum that meets students' needs.
Science of Reading eBook
In this exclusive Science of Reading eBook you’ll find research-backed information that will walk you through the experience new readers face as they build their reading brain.
Model Schools Conference
Join us for the 32nd annual Model School Conferences presented by The Center for Model Schools. We showcase the success of districts, schools, and educators.
AP & Electives
Assessment
Early Learning
English Language Development
Homeschool
Intervention
Literacy
Mathematics
Professional Development
Science
School Improvement
Social and Emotional Learning
Social Studies
Special Education
Summer School
SEE ALL SOLUTIONS
Intervention Curriculum
HMH's K-12 intervention programs are built on 20+ years of proven results. We can help teachers develop an intervention curriculum that meets students' needs.
BROWSE RESOURCES
Classroom Activities
Customer Success Stories
Digital Samples
Events & Webinars
Grants & Funding
International
Research Library
Shaped - HMH Blog
CUSTOMER SUPPORT
Contact Sales
Customer Service & Technical Support Portal
Platform Login
免费教学Resources: Fun Classroom Activities and Lesson Plan Ideas
Here you'll find free learning activities, lessons, downloadables, and videos for students in Grades K–12 to keep learning and growing at grade level.
2023–2024 Monthly Calendar Themes for School
Check out these monthly calendar themes for school, complete with teaching resources for holidays and other days of significance for all grade levels.
Learn about us
About
Diversity, Equity, and Inclusion
Environmental, Social, and Governance
News Announcements
Our Legacy
Social Responsibility
Supplier Diversity
Join Us
Careers
Educator Input Panel
Suppliers and Vendors
Divisions
Heinemann
The Center for Model Schools (formerly ICLE)
NWEA