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Class 6 Maths: Pattern, measurement, and geometry.
MJ
Some people say mathematics is the science of patterns which I think is a pretty accurate description. Not only do patterns take on many forms, but they occur in every part of mathematics. But then again patterns occur in other disciplines as well. They can be sequential, spatial, temporal, and even linguistic. Recognizing number patterns is an important problem-solving skill. If you recognize a pattern when looking systematically at specific examples, that pattern can then be used to make things easier when needing a solution to a problem. Mathematics is especially useful when it helps you to predict or make educated guesses, thus we are able to make many common assumptions based on reoccurring patterns. Let’s look at our first pattern below to see what we can discover. What can you say about the multiplicand? (the number that is or is to be multiplied by another. In the problem 8 × 32, the multiplicand is 32.) Did you notice it is multiples of 9? What number is missing in the multiplier? Now look at the product or answer. That’s an easy pattern to see! Use a calculator to find out what would happen if you multiplied 12,345,679 by 90, by 99 or by 108? Does another pattern develop or does the pattern end? Here is a similar pattern that uses the multiples of 9. How is the multiplier in this pattern different from the ones in the problems above? Look at the first digit of each answer (it is highlighted). Notice how it increases by 1 each time. Now, observe the last digit of each answer. What pattern do you see there? Using a calculator, determine if the pattern continues or ends. Recognizing, deciphering and understanding patterns are essential for several reasons. First, it aids in the development of problem solving skills. Secondly, patterns provide a clear understanding of mathematical relationships. Next, the knowledge of patterns is very helpful when transferred into other fields of study such as science or predicting the weather. But more importantly, understanding patterns provides the basis for comprehending Algebra since a major component of solving algebraic problems $3.00 is data analysis which, in turn, is related to the understanding of patterns. Without being able to recognize the development of patterns, the ability to be proficient in Algebra will be limited. So everywhere you go today, look for patterns. Then think about how that pattern is related to mathematics. Better yet, share the pattern you see by making a comment on this blog posting. ————————————————————————— Check out the resource Pattern Sticks. It might be something you will want to use in your classroom. You are invited to the Inlinkz link party! Click here to enter
Álgebra
“The @Desmos curriculum Algebra 1 Intro to quadratics by exploring patterns is 👍🤩! I couldn’t figure out one of the patterns and as usually decided to see if my students were smarter than me. (they are!) And they love this challenge! #MTBoS #ITeachMath #Algebra1”
Algebra 2 Teaching
A while back I shared a reference sheet for students learning how to divide polynomials using synthetic division. We focus on this method in our Algebra 2 class, but
because polynomial long division is in the standards, I thought to also make a reference sheet to help students with this method. In the example on the cheat sheet, students are guided through the steps needed to find the imaginary zeros of a given polynomial function. Students start at the \
education
Unit 3 – Functions
I’ve been working with my Freshmen on linear patterns for the last couple of weeks. I’ve been really amazed by how well they’ve taken to th…
Too Cool for School
Deepen algebraic thinking and problem solving skills with this set of unique pattern puzzles. A fun math challenge for kids in grades 3-5.
