NRICH Home Page Teachers Primary Pupils Secondary Students Events and PD "It gave me some good ideas to use in the classroom and ... a link that I can get all of the activities from." Book NRICH Bespoke PDBook Forthcoming EventsBook our Hands-on Roadshow Your Solutions Visual Fractions - A Fraction Tutorial Equivalent Fractions Equivalent Fractions have the same value, even though they may look different. These fractions are really the same: Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it's value. The rule to remember is: "Change the bottom using multiply or divide, And the same to the top must be applied" So, here is why those fractions are really the same: And visually it looks like this: Dividing Here are some more equivalent fractions, this time by dividing: Choose the number you divide by carefully, so that the results (both top and bottom) stay whole numbers. If we keep dividing until we can't go any further, then we have simplified the fraction (made it as simple as possible). You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.
Ask Dr. Math FAQ: Learning Multiplication Facts Some people seem to have real difficulty learning their multiplication facts. Parents, teachers, and students have written to Dr. Math asking for help with learning their multiplication tables (see some of the best answers from our archives). For an enjoyable twist, see also Russian Peasant Multiplication. There are many ways to help us remember such things, but what works best will be different for different people. Here's how this might work with multiplication facts. You can make a multiplication table. Since 1 times any number is just that number, we can leave the 1's off. Some people describe a row (or column) as "skip counting," so the row beginning at 5 is the row of "5 times" facts, or "skip counting x | 2 3 4 5 6 7 8 9 10 11 12 --+------------------------------------------ | 5 |10 15 20 25 30 35 40 45 50 55 60 These "times tables" can be memorized as a smaller chunk by themselves. Finding patterns A good way to learn multiplication facts is to look for other patterns in the table.
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Free Fractions Tools | Conceptua Fractions Conceptua Math includes interactive, visual tools that are ideal for teacher-facilitated, whole-class instruction, "Number Talks" and for parents supporting their students at home. These tools, available free of charge, are located under the Tool Library tab in our full curriculum. The full Conceptua Math curriculum includes integrated teacher supports, adaptive teaching, student investigations, and much more. Teachers Build Instructional Expertise with Supports Teachers start with scripted Lesson Openers to introduce concepts and generate fraction Number Talks with the whole class. Sample Opener > Students Learn through Guided Lessons The Guided Lessons form the foundation of the program. Sample Guided Lesson > Students Apply Knowledge through Investigations Real World Investigations provide opportunities for students to use authentic data and apply their mathematical knowledge. Sample Investigation > Interested in learning more about the Conceptua Math breakthrough visual curriculum?
ASSISTments Help us learn what feedback works best. Assign one, some, or all of the following newly built problem sets that are aligned to the Common Core. Click on the links below to see the content of the problem sets. Problem sets are aligned to the Common Core for grades 2 - 6 Great for remediation in grades 7 - 9 Other new content High School Cancer Awareness ASSISTments is in the second year of a five year $3.5 million grant funded by the US Department of Education to study the impact of immediate feedback for book homework as well as classroom implementation and teacher practice using ASSISTments. If you or someone you know is interested, visit the study's website for more information and how to apply. Seven YouTube Channels Not Named Khan Offering Math Lessons Over the weekend I received an email from a reader asking me if I had a list of YouTube channels not named Khan Academy that offer mathematics lessons. I didn't have a list, but I said I would create one. Therefore, here is my short list of YouTube channels not named Khan Academy that offer mathematics lessons. WowMath.org is developed by high school mathematics teacher Bradley Robb. His YouTube channel has more than six hundred videos covering topics in Algebra and Calculus. Numberphile is a neat YouTube channel about fun number facts. Bright Storm is an online tutoring service. Ten Marks is another online tutoring service that offers mathematics tutorial videos on their site as well as on their YouTube channel. Math Class With Mr. The Open University is one of my go-to YouTube channel for all things academic. Yay Math!
Creativity and imagination in the math classroom—reframing projects and project based learning | Curiouser and Curiouser This week was our monthly curriculum writing committee meeting. We were sharing our successes and challenges regarding the Common Core and I mentioned, “I don’t want to sound dramatic, but I hunger for creativity. I want my students to create.” I am truly afraid the kids will lose interest in math if I don’t give them opportunities to use their imagination. Jennie Winters, our Lake County ROE math/science coordinator, replied that according to PARCC performance tasks using creativity are one of the highest levels of performance indicators. So why have I limited my students’ creativity? If imagination is the single most important competitive advantage we can have today, (Thomas Friedman, Grinnell College 2009 commencement address) I should be fostering it in math. With that in mind, is it worthwhile to examine ways to demonstrate math mastery by combining it with a very different field the student has mastered such as art, music, language arts, social studies, etc? Like this: