Number Sense & Numeration
Learning Goals
Grade 3
Quantity Relationships

Grade 4
Quantity Relationships

TExtbook Practice Online
Virtual Base Ten Blocks 
Interactive Number Chart 
PLace Value
Lyrics:
Picking pears, I got 1, 2, 3, 4, 5, 6, 7, 8, 9;
that’s all that fit inside the ones place value line. So I picked another pear and made a group of ten. They fit into a bag perfectly even. 20, 30, 40, 50, 60, 70, 80, 90: I had to keep picking pears  a hunger I had to feed  so I picked another ten and that led to one group of one hundred. (A pear bonked me on the head and I said...) CHORUS: Ten ones make ten. Ten groups of ten are one hundred. Ten hundreds make one thousand; the pattern never ends. I rode my bike one whole mile, then 2, 3, 4, 5, 6, 7, 8, 9, and in a little while, another mile made one group of ten. A little voice inside my head said, “Keep going I know you can!” 20, 30, 40, 50, 60, 70, 80, 90: I never knew I had so many miles inside me! The end of my trip was coming up ahead; I rode ten more miles and reached one hundred. (Then that little voice inside my head said...) 
After the bell rang at eight o’clock,
I started playing with my base ten blocks. I stacked up nine and then one more made ten, and then ten tens equaled one hundred. 200, 300, 400, 500, 600, 700, 800, 900: another hundred wouldn’t fit in the hundred’s space... I had to write one group in the thousands place! (And then I played the air bass.) Ten groups of one thousand equal ten thousand. Ten ten thousands make one hundred thousand. And ten of those make one million, and the pattern has no end. 
Comparing and Ordering Numbers (Greater than, less than, equal to or >,<,=)
Lyrics:
432 and 824
The gator eats the one that's worth more. He looks at the place values from left to right; eight’s the greatest hundreds place, so he takes a big bite. The hungry alligator eats the number that is greater. The number that is least is never part of his feast. 355 and 332 The gator needs to eat the one with the greater value. He looks at the place values from left to right; five’s the greatest tens place, so he takes a big bite. 
145 and 149
The gator needs (or finds) the greater value on the number line. He looks at the place values from left to right; Nine’s the greatest ones place, so he takes a big bite. Now the numbers are the same on both sides. The gator wants to eat, but he can't decide. Neither is greater or less; it's a perfect tie, so the alligator writes an “equal” sign. If there's a line underneath the “greater than” sign, "greater than or equal to" is how the sign is defined. Or write a line underneath the “less than” sign, and "less than or equal to" is the name of this design. 
Money
Fractions
Lyrics:
There were five pieces in one whole pie;
the denominator of the whole pie was five. The numerator of my part was three, as three fifths of the pie was for me. My mom made the apple pie out of Granny Smiths. She asked me if I liked it. I said, "I plead the fifth..." The numerator's the part, the denominator's the whole, and fractions are parts of a whole. Three birds were on a telephone pole. The denominator, three, was the group as a whole. The numerator, two, out of the thirds, described the two thirds that were blue birds. The numerator, two, described how many were blue. Then something fell on my head... it was bird poo! 
I took four shots on the goal;
three went in, but one hit the pole. The denominator was all four shots. The numerator was the three goals I'd got. The other team's record had taken a toll; I'd got three fourths of my shots and won Olympic Gold. A number line has every fraction between zero and one. Right in the middle is one half; one fourth is half of that. A fraction's parts, you realize, have to be the same size. Hey, we're late for the game! Hate to leave you, guys! 
Rounding Numbers
Lyrics:
When rounding to a certain place value,
Find the rounding place, then continue to Look at the number to the right; man, you don’t need luck. If the digit’s five or more, then round up. If the digit’s less than five, then round down. That’s how the rounded number is found. When rounding up, the rounding place goes up by one. When rounding down, it stays where it had begun. The numbers to the right of the rounded digit Get changed to zeros; then it’s legit. 
When you need to find out an approximate amount,
Rounding gives you numbers that are easy to count! Here’s a trick to use... to help you choose Where the digit to the right tells you to move. Draw zero to ten on a hill, with five on top. A car drives until it comes to a stop. If it’s five or more, it moves forwards. If it’s one through four, it moves backwards. Forward rounds up; backward rounds down; Just a little trick to help you round! 