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By Marian Small

This new ebook is a thrilling follow-up to the authors bestsellers on differentiated math guideline, reliable Questions and extra strong Questions. Eyes on Math is a different instructing source that offers enticing, full-color photographs and photographs with textual content exhibiting lecturers easy methods to use each one snapshot to stimulate mathematical educating conversations round key K-8 ideas. lecturers utilizing the booklet can obtain the photographs for projection onto school room white forums or monitors. The questions and solutions can help either scholars and lecturers glance extra deeply and spot the mathematics at the back of the mathematics!

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Inquiries to complement the query with the image and to incorporate in a talk concerning the photo contain what's the three worthy in every one quantity? [We wish scholars to grasp the variation among the three hundred, 30, and three values for the digit three within the 3 numbers. ] Make up one other quantity with a 2 the place the two is well worth the related because it is in 321. Does the quantity should have 3 digits? [We wish scholars to grasp that the one means a 2 may have a similar price as in 321 is that if the two is the tens position. in order lengthy as that situation is met, the two can be a part of a two-digit, three-digit, or perhaps higher quantity. ] Is a 1 worthy extra if it’s to the left or to the precise in a host? Why? [We wish scholars to acknowledge that digits to the left are worthy extra. ] Why do you're thinking that we name our approach a spot price procedure? [We are looking to familiarize scholars with the time period position price yet, extra importantly, we'd like them to acknowledge that the location of a digit in a host issues up to what the digit is. ] EXTENSION Ask scholars to attract an image to teach how the two in 218 is worthy a special volume than the two in 128. evaluating SIZES OF NUMBERS Which part has extra marbles? how will you be certain? scholars are frequently TAUGHT that you just ensure which of 2 numbers is larger through counting digits or through evaluating the best digits, then the following ones, if important, and so on. whereas those principles are right for entire numbers, no longer all scholars relatively comprehend why they paintings. preferably, scholars realize that one quantity is bigger than one other if it comes later within the counting series. this is often demonstrated if there's a quantity that comes among the 2 given numbers. for instance, we all know that eighty two is larger than 35 simply because one other number—such as 50—is among them; eighty two comes after 50, yet 35 comes sooner than it. wondering approximately evaluating entire numbers should still specialise in why one quantity is or isn't more than one other, with no simply declaring ideas. evaluating three-digit numbers is first addressed in universal middle nation criteria 2. NBT. the image supplied right here intentionally obscures the precise values. that allows you to support scholars to return to an figuring out of a basic precept, it is usually worthwhile to prevent a scenario that permits them to concentration an excessive amount of on one particular instance. inquiries to complement the questions with the image and to incorporate in a talk in regards to the photo contain How are you aware that one quantity is greater than four hundred, yet one is much less? [We wish scholars to achieve that the benchmark of four hundred turns out to be useful for evaluating those specific numbers. ] How does understanding that assist you make a decision which quantity is larger? [We wish scholars to achieve that if an in-between quantity are available (in this example, four hundred simply because one photograph has 4 luggage with a hundred marbles each one and the opposite has in simple terms 3 complete 100-marble bags), the set of marbles that's more than that in-between quantity is the better quantity. ] Why does it now not topic that the final bag within the first photograph is extra complete than the final bag within the moment photograph?

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