Today we looked at growing visual patterns to see if we could identify the rules. We used T tables to organize the information from the pictures, using 'n' to represent the term. Over the next few days, we will be using the tables and rules to determine the input/output equation in so that we can go beyond simply continuing patterns. We will be able to determine the value of any term of a sequence without having to go up from one term to the next! Below is a sample.
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Below is a practice sheet that the students worked on on Thursday. Skip counting from a variety of starting places, with both increasing and decreasing patterns, builds confidence and efficiency in addition and subtraction. In either case, identifying the difference is the key. Below the page is a link to a video which will provide a preview of where we are headed in the future. It gives you an idea of how patterns can help you to know more than just what comes next. I recommend Khan Academy videos for learning new concepts and skills, or brushing up on those learned previously.
The students used the number of letters in their names to make patterns on a 100s chart. We used mine to identify and describe visual patterns that would help us to color in the correct squares and confirm we hadn't made any mistakes. For example, one pattern was 1 down, right 2; another was down 3 and a third was down one, left 4. Each of these could be used repetitively to predict where the next blue dot should go to fill in the chart and form the visual pattern you see. But repeating patterns aren't the only ones here. Using the first six numbers (6,12,18,24,30,36) we could see there is a growing pattern. Once the rule is determined (add 6 or counting by 6), we can use it to complete the chart as well. Patterns on such a chart are great for learning about multiplication, division, factors and multiples, and for developing early algebraic thinking.
Patterns are at the very heart of mathematics. The ability to recognize, describe and create patterns helps us to make predictions based on our observations, which is an important skill in math. An understanding of patterns prepares children for learning complex number concepts and mathematical operations. We will be completing and examining our name grids next week to identify and describe patterns. Looking at different attributes like color (yellow, green) and letter type (upper/lower case, vowels/consonants, open/closed) allows us to see that there is more than one pattern in this grid.
See if your child remembers how to “clap/slap” their name by clapping out the vowels and slapping out the consonants! |
AuthorMr. Long Archives
March 2019
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