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Math Is More Than Luck April 9, 2015 Yes, the Right Answer is Important… But the Thinking Behind the Math is More Important. Common Core Standards Developing understanding of multiplication and division and strategies for multiplication and division within 100 Developing understanding of fractions, especially unit fractions (fractions with numerator 1) Developing understanding of the structure of rectangular arrays and area Describing and analyzing two-dimensional shapes Standards for Mathematical Practice Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Addition and Subtraction Change problems – JOIN and SEPARATE PART PART WHOLE problems COMPARE Problems Multiplication and Division EQUAL GROUPS problems AREA problems COMBINATION problems COMPARISON problems Multiplication and Division Within 100 Equal-sized groups, arrays and area models Finding the unknown factor or product with single digit factors Properties of Operations Using a variety of solutions strategies Understanding that multiplication and division are inverse operations Math Fluency Is Just as Important as Reading Fluency Rectangular Arrays and Area Measure the area of two dimensional by covering the shape with squares without gaps or overlaps Rectangular arrays can be decomposed into rows and columns Justify using Multiplication to determine the area of a rectangle. Areas of Space Down on the Farm Project, Designing Rooms, Map Skills http://www.harman3w.com/math-mania.html Math Mania Use this page on my website as a resource for some of the best websites Study Jams, iXL, Kahn Academy, jmathpage, Math Playground Fractions View Unit Fractions as the Building Blocks Visual Fraction Models to represent parts of a whole Size of the fractional part is relative to the size of the whole (1/2 of one item could be smaller than 1/6 of another item) Represent numbers equal to, less than and greater than one Using a number line to represent a fraction of 1 Fractions and Food Hersheys, Twizzlers, Cookies, Pizza Two-Dimensional Shapes Describe, Compare, Analyze properties of two-dimensional shapes Compare and classify sides, angles and other attributes Express the area of part of a shape as a unit fraction of the whole Geometry in Our World Keynote Photograph Project, Artwork, Discovering Attributes with Manipulatives