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What Do You Notice? Number Wheel

What Do You Notice? Number Wheel

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Skills:
K-2: number recognition, counting, geometry
3-5: addition/subtraction, patterns, odd numbers

This is a fun puzzle where the main objective is to figure out where the three missing numbers of the “spokes” are placed. Since the numbers 1, 2, 5, 6, 7, 8, and 9 are visible, the missing numbers would be 3, 4, and 10 (assuming we are using the consecutive numbers 1 – 10. There is an alternate solution for the missing numbers 0, 3, and 4 which is described below).

Younger students may notice a circle, a square, and (10) “triangular” pie pieces. They will probably notice that some of the spokes are missing numbers. Starting at 1 and counting on, they may discover the three missing numbers: 3, 4, and 10. It would be interesting to ask them where they think the numbers go on the wheel and why they chose those specific spokes.

Older students will quickly notice three missing numbers. With a little bit of guidance, they should be able to notice some patterns that can help them determine where the missing numbers should be placed.

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What Do You Notice? Scales

What Do You Notice? Scales

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Skills:
K-2: counting, number recognition, comparing, addition/subtraction, logic/reasoning skills, geometric shapes
3-5: logic/reasoning skills, addition/subtraction, beginning algebra

This scale weight problem is a fun way to introduce algebraic thinking. Although for the young students, simply recognizing numbers and counting the animals is good enough. They can even describe the geometric shapes used to make the scales.

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What Do You Notice? Number Theory

What Do You Notice? Number Theory

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Skills:
K-2: counting, skip counting, patterns, even/odd numbers
3-5: even/odd numbers, patterns, multiples, factors, multiplication, common multiples, prime/composite numbers

When students learn to skip count* they are reciting the multiples of the number they started with. It’s a great early introduction to multiplication. This poster is a horizontal representation of some of the multiples for numbers 1 – 23 which are represented by different colors. For example, multiples of 1 are magenta; multiples of 2 are yellow; 3 are green, etc.

Factors are the numbers multiplied together to arrive at another number. For example, 2 and 3 are the factors that, when multiplied, result in the product 6. This poster shows the factors of each number vertically. The factors of 6 are: 1 (magenta), 2 (yellow), 3, (green), and 6 (blue).

1 x 6 = 6 and 2 x 3 = 6

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Family Math Night What Do You Notice? Poster

Family Math Night What Do You Notice? Poster

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Here’s my latest What Do You Notice? poster from a recent Family Math Night event.  The nice thing about these posters is that they’re open-ended which allows for anyone to respond.  For this one, I decided to make a venn diagram.  But I didn’t draw the usual circles.  Instead I drew two hexagons.  This created the rhombus (parallelogram) in the center. The categories I used for the numbers were even numbers and multiples of 5.  That said, anything appropriate would have…

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