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Developing

(ages 5, 6, 7)

Recognizes, interprets and records addition equations


Featured Math Vitamins:

Buying Gifts for Ms. Brisbane
| Download Math Vitamin :   PDF   Notebook

Story: In this vitamin, students are bridging their understanding of addition with a growing understanding for money values. Their beloved character from the current read aloud book needs some new items and they are working on purchasing various items from a price chart. In the video you see children working with peers as well as checking in with teachers. Some students are shopping with pennies while other students understand that the coins or dollars represent a value. The boy in the video who is working with dollar bills demonstrates a solid understand for the monetary values he is using. This is evident by his ability to explain and document his equation is several different ways.

Suggested manipulatives: For this particular vitamin, using faux money makes the work seem more realistic. Of course you could create you own money system and key with Unifix cubes (or any colored blocks) by creating a “key” for the value of each color block (one color could represent 1cent, another color could represent 5 cents and so on).

Prep time: Adapting the vitamin wording to fit your specific story, putting manipulatives out in the room, 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 add, students will always need to begin with single units. As their skills develop, have them add more items together. Next, start to introduce the concept of “one” item representing more than one object (one nickel is actually worth 5 pennies). This is a conceptual leap for students. Proceed on to using dollars and larger prices for the items the student needs to buy.


Designing Humphrey's Cage
| Download Math Vitamin :   PDF   Notebook

Story:

Suggested manipulatives: Any manipulative that can be broken apart into single units is ideal for beginning counting and addition skills. This means that Unifix cubes, Multilinks, one inch blocks or centimeter cubes are great for 1 to 1 counting and addition work. As students’ skills develop, they are able to start seeing items in groups and eventually to assign related values to the manipulative, such as: one long rod has a value of ten units. At that point, base ten blocks are a perfect next step, as each unit on each block is notched to help students see their counting progress.

Prep time: Adapting the Math Vitamin wording to fit your specific story, putting the manipulative out in the room, creating the grid sheets 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: For this project, teachers asked individual students to work on 1 to 1 counting skills, learning to pace their verbal counting to align with touching each unit or item. Other students were stretched to begin making groups that matched what they had built while others were even shown how to use multiplication to show set thinking.


Making Circus Animals

In this Math Vitamin, students create circus animals out of rods and pattern blocks, then write addition equations to describe what they have built.

| Download Math Vitamin :   PDF   Notebook

Story: Step right up! This, Harold told himself, probably was the best circus he had ever seen in his whole life... but it was missing a few things. Harold needs your help to enhance the show. What would you add to make his circus even better? Use a combination of Pattern Blocks and Cuisinaire Rods to make your VISION come to life.

Inspired by Harold and the Purple Crayon by Crockett Johnson; HarperCollins, 1998

Suggested manipulatives: Unifix cubes, multilinks, color tiles, pattern blocks, Pentablocks.

Prep time: 20-30 minutes to create some animal shape outlines for students.

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 students beginning to work on the addition equation, provide them with shapes that require a few pattern blocks to fill the space. If this is too difficult, create some fun shapes that students can fill using only square blocks. For those students ready for a stretch, provide more complex shapes, and ask students to fill them using the most possible pieces. Beyond that, have students discover the relational value of the triangle (TRI=1) compared to the hexagon (HEX=6) parallelogram (PAR=2), trapezoid (TRA=3) and have them do their addition work based on the value of each piece instead of only focusing on the total number of pieces.


Go to related Common Core State Standards:


Math Vitamins:

Ages 3-6

Adding Data Multiple Times

| Download Math Vitamin :   PDF   Notebook This afternoon we are going have an Investigation inspired by the work we have done this week on poll and graph-making. This morning let's start with the poll you took for homework. Find your Polling for More Data sheet and use some of the strategies you discovered yesterday to make some predictions about your data.

What if you doubled the number of people and they answered in the exact same way? What would the total number of each response be? What if you tripled it? Write an equation for each column. Be sure to label your answers too!

Math Vitamins:

Ages 6-8

Collecting Census

| Download Math Vitamin :   PDF   Notebook Yesterday you decided which creatures inhabit your island. The king and queen have asked you to take a census of your island.
Your royal job is to:
1. Choose how many of each creature you want on your island. Some creatures like to live in large groups and some like to live in smaller tribes. Try to mix it up!
2. Determine the total population of your island. Are there ways to categorize your creatures? What can you tell us about the population of the mystical animals you've created?
Remember the king and queen are COUNTING on you to COUNT for them!

Load the Vessel!

| Download Math Vitamin :   PDF   Notebook The gump is now open and there are many magical beings who want to travel back to the Island. However, the ship which will ferry them from the gump's exit to the Island can only board a limited number of each creature at a time. Your job is to ensure the safety of all passengers by keeping track of the total number as they board. Below are the maximum limits for each species that can be transported to the ship at a time.
Mistmakers 31
Dragons 2
Hags 23
Feys 9
Ogres 12
Harpies 7
Trolls 5
Mermaids 14
Wizards 11
Humans 27
Banshees 18

Load the Vessel! Day 2

| Download Math Vitamin :   PDF   Notebook We've learned from our Read Aloud that the Gump stays open for nine days exactly. Two days have passed by and a new hoard of mystical creatures have arrived, ready to set sail for the magical island. With urgency, the captain and crew of the ship created new regulations for how many of each additional creature could board at a time. Using your Math Vitamin from yesterday, continue boarding your ship adding these new characters to the mix. How many passengers do you have now? How many of each creature are on the ship after multiple groups have boarded?
Griffins 13
Hippogriffs 15
Phoenix 22
Kracken 1
Fauns 43
Yetis 6
Centaurs 17
Unicorns 25
Manticores 4
Gremlins 58



Math Continuum > Developing > Recognizes, interprets and records addition equations