![]() A percent is a special type of ratio where a part is compared to a whole and the whole is 100.Rates are special types of ratios where unlike quantities are being compared.Ratios give the relative sizes of the quantities being compared, not necessarily the actual sizes.A ratio is a multiplicative comparison of quantities there are different types of comparisons that can be represented as ratios.A comparison of a part to the whole can be represented using a fraction.Numerical and algebraic expressions can be compared using greater than, less than, or equal.Whole numbers and decimals can be compared by analyzing corresponding place values.Three or more numbers can be ordered by repeatedly doing pair-wise comparisons.Numbers can be compared using greater than, less than, or equal.A number to the right of another on the number line is the greater number.One-to-one correspondence can be used to compare sets.Effective curriculums embrace the mathematical skills, ideas, and understandings to offer students the coherent whole.Ĭomparisons: Numbers, expressions, and measures can be compared by their relative values. Through these statements, the mathematic standards and skills will be developed to full understanding. ![]() The big ideas can and should be used to revise and improve district and state curriculum standards. By connecting these concepts to the past and the future, students will learn these key concepts that will be fundamental to their comprehension and mastery of mathematics. With this information, teachers can build on previous information and prepare their students for what they will learn in the future. As content was studied, they looked for connections and common characteristics that ran across all grade levels and themes.Īs teachers, the responsibility of an educator is to know what skills and concepts are taught at each grade. The twenty-one big ideas, by Randall Charles in the NCSM Journal, were developed through the analysis of mathematical concepts and skills. Each big idea is linked to countless mathematical understandings that come together into a coherent whole. You can laminate the alligators and put adhesive magnets on the back to use on your chalkboard or dry erase board.Īfter a teacher’s request, I’ve added a set of smaller alligators that you can use for small groups.A “big idea” is a statement of ideas that are vital to the comprehension and development of mathematical knowledge. If your child is a little older and is ready for it, use the alligators to compare: This was quite challenging for her, so after a few more problems I let her get back to her reading. ![]() Then I made it even tougher with the above example. With an accompanying illustration, she was able to see that those are equal. When I saw that she knew that “2,465 is greater than 2,456”, I created more challenging problems involving fractions. I started with some larger numbers to give her practice with place value. These simple on the floor activities were far too easy for my Seven, who is going into second grade. After figuring out the answer, I had him read it using the words on the alligator. I got out my color tiles from my teaching days. We used a few toys with my Five too, but it became obvious that to help him work with larger numbers we’d need small manipulatives. I would set out small piles and ask my Four to tell me which was larger without counting. He understood that when the piles had equal amounts, he needed to choose the equal sign. If your child has trouble, you could draw a simple number line and show him how the larger numbers are farther on the line. ![]() My Four had no trouble figuring out greater than/less than for amounts under 10. After doing a variety of counting activities over the last year, he can count objects up to about 20 without much difficulty. After counting each pile, he identified the larger one and chose which alligator he would need to swallow up the bigger amount. We started by getting out our toy food and putting it in small piles that I knew my Four could count. After printing on cardstock and laminating, I brought them to the playroom. You can do this activity using only two things:Ī) the free alligator printables (get them at the end of this post)ī) something to count, like a stack of toys or small math manipulatives (for older kids, you just need a dry erase or chalk board)Īmong the three kids (ages 4, 5, and 7) we learned more about:įirst, I created some simple alligator less than, greater than, and equal to printables. ![]()
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