{"id":4577,"date":"2018-03-30T08:38:09","date_gmt":"2018-03-30T16:38:09","guid":{"rendered":"http:\/\/www.familymathnight.com\/blog\/?p=4577"},"modified":"2019-12-16T09:53:03","modified_gmt":"2019-12-16T17:53:03","slug":"what-do-you-notice-number-theory","status":"publish","type":"post","link":"https:\/\/www.familymathnight.com\/blog\/?p=4577","title":{"rendered":"What Do You Notice? Number Theory"},"content":{"rendered":"
\"\"<\/div>\n
<\/div>\n
Skills<\/strong><\/div>\n
\n
K-2:\u00a0\u00a0counting, skip counting, patterns, even\/odd numbers<\/div>\n
3-5:\u00a0\u00a0even\/odd numbers, patterns, multiples, factors, multiplication, common multiples, prime\/composite numbers<\/div>\n

<\/p>\n

<\/div>\n<\/div>\n
\n<\/p>\n
Background Information<\/strong>
\nWhen students learn to skip count* they are reciting the multiples of the number they started with.\u00a0 It’s a great early introduction to multiplication.\u00a0 This poster is a horizontal representation of some of the multiples for numbers 1 – 23 which are represented by different colors. \u00a0For example, multiples of 1 are magenta; multiples of 2 are yellow;\u00a0 3 are green, etc.<\/div>\n

<\/p>\n

<\/div>\n<\/div>\n
\n<\/p>\n
Factors are the numbers multiplied together to arrive at another number.\u00a0 For example, 2 and 3 are the factors that, when multiplied, result in the product 6.\u00a0 This poster shows the factors of each number vertically.\u00a0 The factors of 6 are: 1 (magenta), 2 (yellow), 3, (green), and 6 (blue).<\/div>\n

\n<\/div>\n

\n
1 x 6 = 6 and 2 x 3 = 6<\/div>\n<\/div>\n

 <\/p>\n

\n<\/p>\n
This visual representation also does a nice job of calling out the prime and composite numbers.\u00a0 A prime number has exactly two factors – one and itself.\u00a0 The numbers with more than two factors are called composite numbers.\u00a0 The number 1 is neither a prime or composite number as is represented by only one color.<\/div>\n

<\/p>\n

<\/div>\n<\/div>\n
\n<\/p>\n
Younger students can count the colors of a given number or compare which color stacks are the same height.\u00a0 Or they can count how many of each color or even count all the squares!<\/div>\n
The\u00a0Challenge!<\/em>\u00a0question can be a fun one as students look for patterns in the colors\/numbers.\u00a0 The number 24 would have all the same colors as the number 12 plus an additional color for the number itself.<\/div>\n

<\/p>\n

<\/div>\n<\/div>\n
\n<\/p>\n
*It’s possible to skip count by starting with a random number and skip counting by a different number.\u00a0 For example, start with 5 and skip count by 2s.\u00a0 However, skip counting for this activity is counting by a given number other than 1.<\/div>\n

\n<\/div>\n

<\/div>\n

<\/p>\n

Here’s what it looked like at the event:<\/div>\n
<\/div>\n
<\/div>\n
\"\"<\/div>\n","protected":false},"excerpt":{"rendered":"

<\/p>\n

\n

Skills: <\/b>
K-2: counting, skip counting, patterns, even\/odd numbers
3-5: even\/odd numbers, patterns, multiples, factors, multiplication, common multiples, prime\/composite numbers<\/p>\n

\n

When students learn to skip count* they are reciting the multiples of the number they started with. It\u2019s a great early introduction to multiplication. This poster is a horizontal representation of some of the multiples for numbers 1 \u2013 23 which are represented by different colors. For example, multiples of 1 are magenta; multiples of 2 are yellow; 3 are green, etc.
\n
\nFactors 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).<\/p>\n

1 x 6 = 6 and 2 x 3 = 6<\/p>\n

Read More Read More<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[123,76,51,44,184,45,52,58,57],"tags":[104,69,231,241,61,142,143,244,221],"class_list":["post-4577","post","type-post","status-publish","format-standard","hentry","category-activities","category-family-math-night-2","category-kids-and-math-3-5","category-kids-and-math","category-elementary-mathematics-2","category-number-sense","category-number-and-operations","category-problem-solving-kids-and-math","category-problem-solving","tag-elementary-math","tag-family-math-night","tag-math-night","tag-math-skills","tag-number-sense-2","tag-parent-engagement","tag-parent-involvement","tag-problemsolving","tag-what-do-you-notice"],"yoast_head":"\nWhat Do You Notice? 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