# Kindergarten Resources

## Arranged Ten Frames

A random number of dots (up to 20) are placed into ten frames. Choose whether the dots are "arranged" or "random". Lots of different, randomly generated possibilities. ## Balanced Expressions

Explore notions of equality and inequality by dragging expressions to the balance. Select whether you'd like your inequalities recorded with the "not equal" sign (≠) or greater/less than signs (> and <). ## Commuting Counters

Enter two addends, then click next. The addends will show up as counters. Keep clicking next to see the commutative property in action. ## Comparing and Estimating Whole Numbers

Use the given quantity to estimate the others. Use the sliders to adjust the size of the numbers (10 to 1000) and number of questions. Kindergartners might use this to talk about more/less, while 6th graders might have highly sophisticated approaches involving unit rate. ## Comparing Small Numbers

A random amount of circles or squares is drawn in each box. Which box has more in it? Count the number in each to help you decide or to justify your answer. ## Comparing Two Whole Numbers

Intended for students to develop understanding of bigger/smaller numbers. Type in two whole numbers. Click "Forward" to see the numbers shown in base-10 blocks, then broken apart into ones, then finally shown overlapping. An interesting example is comparing 3 to 30. ## Dots in the Box

A missing addend activity. There are ___ dots in a box. Some are red and some are blue. If you know how many blue dots there are, can you figure out how many red dots there should be? ## How Many?

A random number of objects (between 0 and the upper limit you specify) flashes on the screen. Estimate how many you saw. Then display the picture again, reconsider your guess, and finally see the answer. Designed to develop solid connection between a number and how "big" it actually is. ## How Many? (with grouping)

An updated version of "How Many?" with a new feature: once you see the squares, you can arrange them into groups. Use this to connect estimation and quantity to skip counting. Or use it to have a conversation about multiplication or division. ## Interactive Number Grid

This grid goes to 120. Click on the numbers to toggle the colors. Click on an arrow to turn the entire row or column red. Explore 1 or 10 more/less, patterns in skip counting or beyond. ## Making 10's

Specify an number, then watch as it goes from a collection of "ones" to groups of "tens." See the various forms of a number to build understanding of place value. Alternatively, specify a number, make it into tens, then break the tens into ones to develop understanding of regrouping. See also "Showing Numbers with Place Value" ## Making Numbers with Place Value

Enter any number of hundreds, tens, and ones to see that number drawn in any of three ways. One way of using this is to help students see the difference between a digit and its value. For example, a student might say the number 63 has 60 tens and 3 ones. If you enter that in this applet, you can see a number represented as...

• 60 tens and 3 ones ("How I typed it")
• 6 hundreds and 3 ones ("Standard place value")
• 603 ones ("All ones") ## Move the Number

This activity is meant to develop flexible, creative thinking about numbers and operations. Your goal is to move a from a starting number to a target number, but there are many ways to do this! Adjust the sliders to control the bounds of the numbers involved. ## Moving Dots

How many dots are there? How do you see it? This number talk resource is designed to give students lots of different ways of seeing and describing a number of dots, but with the added advantage of seeing the dots move from one arrangement to another. Use this with the goal of students flexibly describing many ways of composing/decomposing a number. ## Number Balance

Explore ideas around equality, decomposition, missing addends, and more! Up the ante by finding the mystery number. ## Number in Four Forms

See numbers 0 - 20 expressed in ten frames, base 10 blocks, number line, and numerals. Intended to help students see the significance of a group of ten across representations. "How does this show us a group of ten? How does it show us the ones place?" ## Number Path

An exploration of +/- 1 or 10 on the hundreds chart. Make a "path" (of up to 50 squares). Your job is to figure out the numbers. By clicking on the square, the number is revealed. ## Part-Part-Whole Estimation

Adjust the slider to control the size of the numbers. One of the pieces (a part or the whole) is randomly provided. Use estimation to fill in the rest. Feedback provided. ## Part-Whole Rectangles

Designed to develop ability to estimate reasonable answers in subtraction situations. Specify your own subtraction problem (or generate a random one), then represent the relative size of the subtrahend by shading a rectangle representing the minuend. Feedback on accuracy of shading is provided. (Not included but recommended: finish by estimate the size of the difference before actually doing the subtraction.) ## Place Value Bars

Enter a whole number (under 1 million) and it will be shown as a bar partitioned along base-10 values. Use this for a visual demonstration of, for example, why 543 > 345, beyond "because 5 is bigger than 3". ## Placing Numbers (up to 30 or up to 50)

An unmarked number line is provided, with 0 on the left. Students are given a random number (either 1-10 or 11-30/50) to place on the number line (repeated up to 20 times). The goal is not only to place numbers in the right order, but also in the correct relative position (e.g. 2, 3, 8, but the 3 should be closer to the 2 than the 8). Feedback is provided by displaying the correct locations based upon the location of the largest number. ## Rekenrek

A simple tool to develop understanding of numbers and relationships. Use this for number talks and many other activities. ## Showing numbers

Intended for students to get a sense for "bigness" of numbers. Type in a number to see it displayed in an array. If you wish, enter another number to see a visual comparison. ## Ten Frames

One or more ten frames appears on the screen (you can adjust this). A randomly generated number of dots flashed, (partially) filling in the ten frame(s). Your job is to say how many dots you saw and how you saw it. ## What Shapes?

Use this activity to develop definitions of simple polygons by noticing patterns. Build math language from informal to formal. ## Year Zoom

Start by looking at a year, then gradually zoom in through the month/day/hour/minute. 