video download link to standards

- Rote counting to 100
- Counts objects beyond 20 with one-to-one correspondence
- Compares and orders numbers to 100
- Groups units into sets of ten
- Uses a combination of tens and ones to build two digit numbers
- Recognizes, interprets and records addition equations

- Combines 2-D shapes to form

different shapes - Sorts objects by 2 or more attributes
- Uses language to describe relative location (above, below, beside, etc)
- Recognizes symmetry
- Measures length, width, and height using non-standard units
- Uses time vocabulary

(yesterday, today, tomorrow)

©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 :
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Notebook

**Story:** In this Math Vitamin the students are working to determine the volume of their own unique fish tank designs.
Having recently adopted Coho salmon eggs from a local hatchery, the kids were very much interested in the mechanics of
raising fish in an aquarium and the teachers capitalized on this enthusiasm with several Math Vitamins focused on the
concept of area and volume. The students have been using different manipulatives to calculate area and volume. Today each
child was given specific measurements for length, width, and height and are solving for their tank’s volume.
Our intent on this particular Math Vitamin is to introduce students to the geometry of rectangular solids and working
to determine their length, width, height and combining them to discover their volume. Learning what each dimension
represents has been a key part to making this Math Vitamin successful. The students first worked to understand the
dimensions: length, or long side, the width, or short side, and the height, how many blocks tall. Once they were able
to build their design, they then counted the total number of blocks used for their fish tank to determine its total
volume in cubic inches.
All Math Vitamins require students to build, draw and record their work as well as share their thoughts with peers and
teachers. The strong UCDS math community within each classroom is developed through the process of peer and teacher
conversations that focus on exciting mathematical tasks and engaging ideas about the various approaches to solve them.

**Suggested manipulatives:**
When children start to explore the concepts of area and perimeter you can use all sorts
of non-standard measurement items like hands, scissors, toothpicks, beans, plastic bears etc. to
learn the conepts. Once you move into exploring volume, you’ll need to use items that can be stacked.
We usually choose one inch cubes for this initial work. For some students they are still counting
one-to-one and for others they actually start to see the “cubic inches”.

**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
30-45 minutes for students to work through all the steps.

**How to individualize/stretch:** In this vitamin, the teachers have pre-drawn a unique rectangular shape on
one-inch grid paper for each child. Some tanks are larger than others based on the individual student’s level of understanding.
To start with volume, consider making the first few tanks only two layers tall. For the children who are ready for more, start
to use centimeter cubes and have them start finding patterns for square and cubed numbers as they build their projects.

Use cubes to build a model of one or both of the flower beds. Each one-inch cube represents one cubic foot. Count the total number of blocks used to determine the volume of soil contained in each flower bed.

Today, you are the designer! Design a new raised bed with a new length, new width and new height. Build, record and calculate the new VOLUME of your unique raised bed. Have fun, gardeners!

This morning, measure one of your feet. You can use any tools or resources you can find to take this measurement. Record your findings on a Math Vitamin sheet. If you finish your first measurement, find another way to measure!

Length of Feet (Skates)

Length of Arms (Jacket)

Circumference Head (Hat)

Length of Legs (Snow Pants)

Length of Hands (Gloves)

Be creative with your measurements, but try to use one Standard and one Non-Standard tool for each clothing item. Standard Measurements are units of measurement everyone uses, like inches or centimeters on a ruler. Tape measures can help to measure when you need a more flexible tool. Non-Standard Measurements are any tools or resources you can use to measure an object. Be sure to record all of your measurements onto a Math Vitamin Sheet.