# 6th Grade Number Sense Resources

## 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. ## Decimal in Three Forms

Establish the decimal/fraction/percent connection by seeing three connected representations of a number [0,1). ## Double Number Line

This tool is designed for students as they are getting introduced to the double number line. Use it to notice patterns and explore the proportional relationships that a double number line organizes and displays. Move the red "dot" around to generate new data points. Before you click "Capture," ask questions like "Based upon what we know so far, if there are 5 apples, how many oranges do you think there will be?" and "What did you notice that helped you predict that?" ## Filling the Number Line

How do the non-negative rational numbers map to the number line? How big do the numerator and denominator need to be to make it "full"? Is it even possible? Explore some of these questions and many others (like finding patterns in equivalent fractions) with this simple, but powerful applet. ## Four Numbers

Place 4 randomly generated rational numbers on the number line. Feedback provided. Note that this version uses positive and negative numbers (but the GIF shows the fifth grade version using only positive numbers). ## Given Part, Find Whole

Use proportional reasoning to estimate the size of a rectangle. Meant to develop intuitive understanding of unit rate. ## Guess the Sort - Whole Number Rules

Enter a whole number, and the program will sort it in the Venn Diagram according to the two randomly determined rules. Play along with your students as you try various numbers to figure out the rules. Once you know the rules, add additional numbers to each part of the diagram. Possible rules include: bove or below a certain number; Rounds within 100 to a 10; Rounds within 1000 to a 100; Multiple of 3,4,5,6,7,8,9,10,11,or 12; Prime; Composite; Even; Odd ## Seeing Factors

Designed to give an understanding of factors and prime/composite numbers. Enter an integer, then see it arranged in arrays. Move the slider to see the resulting array for various divisors. ## Tape Diagram

A simple tool that allows you to draw and compute with ratios using a tape diagram. ## What's the Number? -- Decimal Version

Set the bounds (-1000 to 1000) and the level of precision (wholes, tenths, hundredths, thousandths). Then a random number is generated and placed on a blank number line. Your job is to guess where it landed. Click "next" to zoom in and refine your guess. 