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Try to win the race by moving your kayak along the number line to the opening in the rocks. Count forwards or backwards on the number line between the kayak and the opening in the rocks. Select the equation which displays the correct operator and matches your count. If you miss, the kayak will bounce back and new equation buttons will appear.

Common Core

Grade 1 " Operations & Algebraic Thinking
CCSS.MATH.CONTENT.1.OA.C.5
Add and subtract within 20: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

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Kayak Number Line Game | 1st Grade Math Games | Toy Theater

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Learn addition and subtraction with this fun racing game. Maneuver the rapids in your kayak by counting forwards or backwards on a number line to navigate to the opening in the rocks. Teachers trust Toy Theater to provide safe & effective online learning resources. Free to play, priceless for learning.

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Symmetry Reflection Symmetry Rotational Symmetry Point Symmetry Transformations Tessellation Artist Equation Artist Spiral Artist Geometry Index

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Mental Math - divide numbers by memory or through other efficient methods
Problem Solving - match division expressions with the correct quotients

Common Core Connection for 3rd Grade

Understand division as an unknown-factor problem.
Apply properties of operations as strategies to multiply and divide.
Fluently divide within 100 using strategies and properties of operations.

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Play Drag Race Division at Math Playground! Use division facts to power up your vehicle and win the race.

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Mental Math - divide numbers by memory or through other efficient methods
Problem Solving - match division expressions with the correct quotients

Common Core Connection for 3rd Grade

Understand division as an unknown-factor problem.
Apply properties of operations as strategies to multiply and divide.
Fluently divide within 100 using strategies and properties of operations.

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Play Demolition Division at Math Playground! Use division facts to keep the invaders away.

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So I've got a whole pizza here, and let's say that I were to cut it into two equal pieces. Let me cut it right over here into 2 equal pieces. And let's say that I ate one of those 2 equal pieces. So let's say I ate all of this right over here. What fraction of the pizza have I eaten? Well, I took the whole and I divide it into two equal pieces, and then I ate one of those pieces. So I ate 1/2 of the pizza. Now, let's imagine that instead of cutting that pizza into only 2 equal pieces, let's imagine instead that decide to cut it into 4 equal pieces. So let's draw that. So 4 equal pieces. So I could cut once this way and then I could cut it once this way. And so here I have 4 equal pieces. But let's say that I want to eat the same amount of pizza. How many of these 4 equal pieces would I have to eat. I encourage you to pause the video and think about that. Well, I would eat this piece. You could imagine me eating this piece and this piece right over here. I've eaten the same amount of the pizza. Each of these pieces you could imagine got cut into 2 pieces when I cut the whole pizza this way. And so now I have to eat 2 slices of the 4, as opposed to 1 slice of the 2. So I just ate 2 out of the 4 slices. I'm using different numbers here. Here I'm using a 1 in the numerator and 2 in the denominator. Here, I'm using a 2 in the numerator and a 4 in the denominator. These two fractions represent the same quantity. I ate the same amount of pizza. If I eat 2/4 of a pizza, if I eat 2 out of 4 equal pieces, that's the same fraction of the pizza as if I eat 1 out of 2 equal pieces. So we would say that these two things are equivalent fractions. Now let's do another one like this. Instead of just dividing it into 4 equal pieces, let's divide it into 8 equal pieces. So now we could cut once like this. So now we have 2 equal pieces. Cut once like this. Now we have 4 equal pieces. And then divide each of those 4 pieces into 2 pieces. So I'll cut those in-- So let's see. I want to make them equal pieces. Those don't look as equal as I would like. So that looks more equal, and that looks reasonably equal. So now how many equal pieces do I have? I have 8 equal pieces. But let's say I wanted to eat the same fraction of the pizza. So I could eat all of these pieces right over here. Well, how many of those 8 equal pieces have I eaten? Well, I've eaten 1, 2, 3, 4 of those 8 equal pieces. And so once again, this fraction, 4 of 8, or 4/8, is equivalent to 2/4, which is equivalent to 1/2. And you might see a little bit of a pattern here. Going from this scenario to this scenario, I got twice as many equal slices. Because I had twice as many equal slices, I needed to eat two times the number of slices. So I multiply the denominator by 2, and I multiply the numerator by 2. If I multiply the numerator and the denominator by the same number, then I'm not changing what that fraction represents. And you see that over here. Going from 4 slices to 8 slices, I cut every slice, I turned every slice into 2 more slices, so I had twice as many slices. And then if I want to eat the same amount, I have to eat twice as many pieces. So all of these, 1/2, 2/4, four 4/8, and I could keep going. I could do 8/16. I could do 16/32. All of these would be equivalent fractions.

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Equivalent fractions (video) | Fractions | Khan Academy

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So I've got a whole pizza here, and let's say that I were to cut it into two equal pieces. Let me cut it right over here into 2 equal pieces. And let's say that I ate one of those 2 equal pieces. So let's say I ate all of this right over here.

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What we're going to talk about in this video is the idea of a fraction. And we'll see there's many ways to think about a fraction. But first, we'll think about the most fundamental. So let's say that I have this square. And we can consider this a whole. So let me write that down. This is a whole. It is a complete square. Now, what I'm going to do is divide this into 4 equal parts. So with one cut like that, I've divided it into 2 equal parts, and then with another cut like this, I could divide it into 4 equal parts. So there are 4 equal parts. And now what I'm going to do is I'm going to select one of those equal parts, so let's say this part right over here. I am going to select that. So the question is, what fraction of the whole is the part that I have shaded in red? Well, it is 1 out of the 4 equal parts, right? I've shaded in 1 out of 1, 2, 3, 4 equal parts. So we write this as this fraction. This piece represents 1/4 of the whole. And there's two ways that you can think about this. You could view this as 1 of the 4 equal parts, or you could view this as a whole divided by 4 would get you exactly this much. Now let's do another one. And this time, let's think about how we could represent 1 over 8, so 1 over 8. Well, we could divide this whole, in this case, the whole is this rectangle-looking thing. We could divide the whole into 8 equal parts. So let's do that. So here I've divided into 2 equal parts. That looks pretty good. And now I can divide each of those into 2 equal parts to get me 4 equal parts. And then if I were to divide each of those into 2 equal parts, I will have 8 equal parts. And it's not exact. Obviously, I've drawn it by hand, but hopefully this gets you a sense. So now I have 8 equal parts. And now I'm going to select exactly one of them. And that'll represent 1/8. And I could select any one of these, but I'll just do this one to show you it does not have to be necessarily the first one. So once again, this square right over here that I'm shading in red represents 1/8 of the whole. Now, let's look at a few more examples where I've shaded them in ahead of time. And what I want you to do right now is pause the video, and either in your head or a piece of paper write down if you consider this purple thing, the whole, what fraction does this red part represent? If you consider this blue part the whole, what fraction does this red part represent? If you view this yellow triangle as a whole, what fraction does this red part represent? And so I encourage you to pause the video now. Well, let's look at each of these. So in this case, for this rectangle, we have 3 equal parts, and we've shaded in one of them. So this red rectangle right over here represents 1/3 of the whole. Now, Over here, in this kind of pie-looking thing, this circle-looking thing, we have 1, 2, 3, 4, 5 equal parts. And we have shaded in 1 of those 5 equal parts. So this little slice of the pie, this represents 1/5. This right over here is 1/5 of the entire pie. Now, this one's interesting. You might be tempted to say, well, I've got 5 parts, and then I've shaded in 1. That must represent 1/4. But remember, it needs to be 4 equal parts. And it's pretty clear looking at this that this part right over here is not equal in size to this part right over here or this part right over here. These are not 4 equal parts. So we cannot say that this is 1/4 of the triangle. So you cannot say that.

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Intro to fractions (video) | Fractions intro | Khan Academy

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What we're going to talk about in this video is the idea of a fraction. And we'll see there's many ways to think about a fraction. But first, we'll think about the most fundamental. So let's say that I have this square. And we can consider this a whole.

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Simplify fractions

This fishing game will teach the grade 5 child how to reduce the fractions. The rules are that the denominator and numerator should have common factors, which will enable them to be divided. The numerator should also be larger than the denominator so that they can be divisible. This game will also introduce the notion of making a remainder to be in decimal form. The game will teach the player how a fraction can be simplified and made a whole number, especially if the fraction was divisible without a remainder.

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Fifth grade game on simplifying fractions to lowest terms - Alegbra4children

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This fishing game will teach the grade 5 child how to reduce the fractions. The rules are that the denominator and numerator should have common factors, which will enable them to be divided. The numerator should also be larger than the denominator so that they can be divisible.

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Marlon’s Magical Maths Mission - Multiplication - Mathsframe

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Marlon’s Magical Maths Mission - Multiplication

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Problem Solving - complete mathematical puzzles

Common Core Connection for Grades 3 and 4

Recognize and generate simple equivalent fractions.
Explain why the fractions are equivalent by using a visual fraction model.
Decompose a fraction into a sum of fractions with the same denominator.
Compare two fractions with different numerators and different denominators.
Recognize that comparisons are valid only when fractions refer to the same whole.

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Triplets | Equivalent Fractions | Math Playground

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Play Triplets: Equivalent Fractions at Math Playground - Make trios of equal fractions!