video download link to standards

- Recognizes numbers to 1000
- Applies addition facts
- Regroups using the addition algorithm
- Uses repeated addition to multiply
- Regroups using manipulatives in subtraction
- Recognizes, interprets and records subtraction equations
- Divides using manipulatives
- Understands pictorial and symbolic representations of fractions
- Compares numbers using

>, <, =

- Identifies 3-D shapes
- Measures area and perimeter using

manipulatives - Uses tools to find metric and

US measures

©1998 University Child Development School and Bonnie Campbell Hill. No part of the Continuum may be reproduced or used without written permission of University Child Development School. Continuum adapted by University Child Development School with permission from Bonnie Campbell Hill.

|Download Math Vitamin :
PDF
Notebook

**Story:** Students are working to help a read aloud character figure out how many trees can be planted in each
of the six plots of land they have in a local park. This vitamin is worded in a way that directs students to begin
using division to solve the task. In the video you see how children rely on the manipulatives to build and explain
their thinking as well as using their drawings and conversations with peers and teachers. While the math vitamin story
is the same for all the students, teachers differentiate the task by giving each child a different number of trees to
plant that is based on their current level of numeric understanding. The first student shown is working with the teacher
to learn how to “divvy” items up into six categories. The following student works with a teacher and 24 Unifix cubes.
She demonstrates an understanding of the division concept and is beginning to explore how to write an equation that represents
what she has built. The final student shown in the video is working to divide 140 trees and exploring the concept of remainders.
He is also using base ten blocks for his work to illustrate his thinking.

**Suggested manipulatives:**
Start new concepts with a manipulative that can be broken into single units. unifix cubes,
multilinks
or centimeter cubes are ideal.
As student understanding for the concept develops and they begin to work with larger numbers, move to base ten blocks as these let
you group by tens as well as use the units for the remainders.

**Prep time:** Adapting the vitamin wording to fit your specific story, putting manipulatives out in the room, creating
the data sheets and copying the vitamin documentation forms will take about 15-20 minutes. Set up is always more fun and
shorter on time if you do this activity with a colleague.

**Classroom time:** Asking children to “do their best work” for each Math Vitamin assumes that
some children will need a longer time than others. Ideally you want to offer a block of time for Math Vitamin projects
and have another task available (writing, free exploration etc.) for those students who finish work prior to their peers.
For this project allow 20-45 minutes for students to work through all the steps.

**How to individualize/stretch:** When learning to divide, students first learn how to “divvy” (putting one block at a time in each area).
As they grow, they will be able to start to work with groups of numbers.

|Download Math Vitamin :
PDF
Notebook

**Story:**

**Suggested manipulatives:**
When students learn a new concept, they typically require a manipulative that can be broken into units of one.
So, unifix cubes, multilinks , nuts, seeds,
counting bears or any item that clearly represents single units
is ideal for exploring counting and division.

**Prep time:** Adapting the Math Vitamin wording to fit your specific story, putting the
manipulative out in the room, creating the map and copying the student documentation forms
will take about 15-20 minutes. Set up is always more fun and shorter on time if you do this activity
with a colleague.

**Classroom time:** Asking children to do their best work for each Math Vitamin assumes
that some children will need a longer time than others. Ideally you want to offer a block of
time for Math Vitamin projects and have another task available (writing, free exploration etc.)
for those students who finish work prior to their peers. For this project allow 20-45 minutes
for students to work through all the steps.

**How to individualize/stretch:** Counting and building groups of like items is related to division.
Students beginning to explore this concept typically start by using the divvy method: one seed to this pile,
one seed to this other pile etc. Students who have gained more understanding of grouping and dividing will
start to make estimates of how many seeds will be in each pile and then use the manipulative to check their
thinking. A further stretch for those students could be increasing the complexity of the manipulative they are
using, like one requiring a greater level of abstraction like pattern blocks
or Cuisenaire rods.Cuisenaire rods.

| Download Math Vitamin :
PDF
Notebook

**Story:** The loggers have cut a section of forest and have a pile of logs ready to be taken to the mill. These logs will be used for building new schools & homes
and even turned into paper! There are 4 trucks on this job site. The truck drivers will be paid per log, so the logs need to be divided evenly
among the trucks to ensure equal pay.

See your teacher to discover how many logs you have in your wood pile.
Divide them equally among the 4 trucks and find how many fit on each.

**Suggested manipulatives:**
Unifix cubes,
multilinks and
centimeter cubes.
In this video, students are using wooden pegs because the shape resembles the logs in the Math Vitamin story.

**Prep time:** 5 minutes to gather the materials and generate a few number scenarios for the different student levels.

**Classroom time:** Asking children to “do their best work” for each Math Vitamin assumes that some children will need a longer time than others. Ideally you want to offer a block of time for Math Vitamin projects and have another task available (writing, free exploration etc.) for those students who finish work prior to their peers. For this project allow 20-45 minutes for students to work through all the steps.

**How to individualize/stretch:** For those just beginning to explore division, give them a lower number of items to begin (four logs for two trucks), and for others who are ready, make their tasks more complex by changing the number of trucks and logs (forty-nine logs for three trucks, etc.). Make sure to have some scenarios that require a remainder (logs left behind)! There are two types of division questions: cutting and packing. This log Math Vitamin is a cutting example; students take an entire amount and cut it into smaller pieces. The second attached video for this benchmark illustrates a packing task; students find how much of something fits into a particular space. Learning to recognize both scenarios helps students understand the operation of division better.

| Download Math Vitamin :
PDF
Notebook

**Story:**Like Leon has noticed in the forest where he logged, there weren't enough trees replanted to ensure proper forest health.
Today we will be planting on the north side of the mountain, which has larger plots. Each of these plots can fit 7 saplings today. See your
teacher to find out how many saplings you are planting. How many plots will you fill?

**Suggested manipulatives:**
Unifix cubes,
multilinks,
centimeter cubes and
Cuisenaire rods.

**Prep time:** 5 minutes to gather the materials and generate a few number scenarios for the different student levels.

**Classroom time:** Asking children to do their best work for each Math Vitamin assumes that some children will need a
longer time than others. Ideally you want to offer a block of time for Math Vitamin projects and have another task available
(writing, free exploration etc.) for those students who finish work prior to their peers. For this project allow 20-45 minutes
for students to work through all the steps.

**How to individualize/stretch:** For those just beginning to explore division, give them a lower number of items per
plot (9 trees, how many plots of 3 will you have?), and for those with more division experience, provide larger sized plots,
more trees and scenarios with remainders. For additional complexity, ask them to solve the task using Cuisenaire rods, as they
require more complex thinking (this manipulative has a high level of abstraction). There are two types of division questions:
cutting and packing. This tree plot vitamin is an example of the packing approach; students ask how many of one thing will fit
into the other (how many plots of seven we will have with our 49 trees). The first attached video for this benchmark illustrates
a cutting task; students take an entire amount and cut it into smaller pieces. Learning to recognize both scenarios helps students
understand the overall operation of division better.

Mr. Grasshopper is very generous and likes to give each of his friends equal amounts. Grab a Math Vitamin sheet to help him to figure out how much to share with each of his friends.

Inspired by * James and the Giant Peach* by Roald Dahl; Puffin, 2011

Your teacher today will give you a total number of strawberries to divide. Find out how many will fit in each carton so that each box holds the same amount.

There are 6 trucks on this job site. The truck drivers will be paid per log so the logs need to be divided evenly among the trucks to ensure equal pay. See your teacher to discover how many logs you have in your wood pile. Divide them equally among the 6 trucks and find how many fit on each.

Each egg carton held half a dozen (6) eggs. See a teacher to find out how many eggs she gathered. Then determine how many neighbors can she share her eggs with.

Let's have some fun planting our own pumpkin patches for Math Vitamin. Our field design calls for rows with 10 seeds in each. Grab a handful of seeds and get planting! How many full rows can you plant? How many seeds are left over? Build, draw and record your pumpkin patch. Happy planting!

On her way to Grandma's, she not only runs into the wolf, but many furry creatures. She is so generous, she'd like to share the pizza with all her new friends. She wants to be fair and needs help with fractions. Take a pizza template and show Red how you would share a pizza equally with 2 friends, 4 friends or more.

Thing 1 and Thing 2 sure can make cleaning fun. Ask a teacher how many toys go in each one! Who knew that cleaning could be such a ball! How many toys did you clean up in all?

There are 5 shelves. See a teacher to find out how many books were on the floor, and divide them evenly back on the shelves.

See a teacher to find out how many blueberries they need to pick to make the pie. If they divide the picking job equally, how many blueberries does each child need to pick?

“Oh bother! My brothers,” bellowed biggest brother Bob, “how shall we share the broken brittle?”

Mike the middle brother came up with a plan. “If we figure out the fraction that each piece represents of the total brick, we can be sure to share fair!” “Sure ‘nuff that way we all end up with one whole brick o’ brittle,” Bart piped up.

“If we put our pieces together, we can figure out what each piece is worth,” Bill explained. Buster instructed, “By comparing the pieces we can tell what fraction of a brick each piece represents. At All Hallows end, we will each have one square.”