Council for Teachers of Mathematics (NCTM) Standards for Number Sense and Operations. The four lessons will be analyzed using the following criteria; the NCTM Standards‚ the use of differentiated instruction and the use of manipulative. The four lessons that will be looked into focus on addition‚ subtraction‚ fraction and number values. The NCTM focuses on encouraging instructors to allow students to use their natural insights when discovering number sense and operations. According to the NCTM standards
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1/28/14 Ratio and Proportion Mix A: concentrate/cups of water = 3/5 = 0.6 Mix B: concentrate/cups of water = 6/8 = 0.75 Mix be will taste more orangey because when dividing the concentrate by number of water it would tell you if you will get an orangey taste or not. When you divided the concentrate by water whatever ans you get eg.(0.6 or 0.75) which ever one has a higher value will be most orangey which is (Mix B.) Whereas the least orangey
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Leonardo traveled to several countries‚ but he became familiar with the Hindu-Arabic number system somewhere between Barbary and Constantinople and realized that this number system had substantial practical advantages that the currently used Roman numeral system did not ("Leonardo Pisano‚" par. 1-2). The simplest mathematic
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Mixed Fractions (Also called "Mixed Numbers") | | A Mixed Fraction is a whole number and a proper fraction combined. such as 1 3/4. | 1 3/4 | | | (one and three-quarters) | | | Examples 2 3/8 | 7 1/4 | 1 14/15 | 21 4/5 | See how each example is made up of a whole number and a proper fraction together? That is why it is called a "mixed" fraction (or mixed number). Names We can give names to every part of a mixed fraction: Three Types of Fractions There are three types
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observations made from the radix-2 Booth algorithm are listed below It reduces the number of partial products which in turn reduces the hardware and delay required to sum the partial products. It adds delay into the formation of the partial products It works well for serial multiplication that can tolerate variable latency operations by reducing the number of serial additions required for the multiplication. The number of serial additions depends on the data (multiplicand) Worst case 8-bit multiplicand
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one egg left over. When she put them in groups of 13 no eggs were left over. You need to find out how many eggs there are in total. 2. Process: I first thought about a common multiple of 2‚ 3‚ 4‚ 5‚ and 6. The least common multiple of those numbers is 60. I know the amount of eggs the farmer has must be a multiple of 60 plus 1. It has to be a multiple of 60 plus 1‚ because any multiple of 60 plus 1 divided by 2‚ 3‚ 4‚ 5‚ and 6 will result with a remainder of 1. Then I wrote some multiples of
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overnight success! A further result of the good rating is that I must cook more and more of that same dish. Now my math skills must play an important part to be able to make a proportional recipe. To double the quantities of items with a whole number amount is easy‚ but what about those fractions? Let’s focus on the 1 1/3 cups uncooked spiral pasta. To double that‚ we multiply by 2. 1 1/3 x 2 Change each fractional amount to an improper fraction. = 4/3 x 2/1 Multiply numerator times numerator
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Investigation Lacsap’s Fractions The focus of this investigation is surrounding Lascap’s Fractions. They are a group of numbers set up in a certain pattern. A similar mathematical example to Lacsap’s Fractions is Pascal’s Triangle. Pascal’s Triangle represents the coefficients of the binomial expansion of quadratic equations. It is arranged in such a way that the number underneath the two numbers above it‚ is the sum. Ex. 1 1 1 1 2 1 1 3 3 1 1 4 6
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with the external name number_list.dat‚ uses a loop to write the numbers 1 through 100 to the file and then closes the file. Declare OutputFile numberlist Declare interger i Open numberList “number_list.dat” For I = 1 To 100 Write myFile i Next i End For Close numberList 4) Design an algorithm that does the following: Opens the number_list.dat file that was created by the algorithm created in question 3‚ reads all of the numbers from the file. Declare InputFile numberList Declare integer
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DIRECT INSTRUCTION LESSON PLAN (Case Study 4.2 Lesson Plan) Sample 1 Subject Area: Math Specific Content: Improper fractions and equivalent mixed numbers Grade Level: 6th Grade Length of Lesson: 30 minutes Instructional Objective(s): The learner will write any improper fraction as a mixed number. State Content Standard / Benchmark / Grade Level Expectations: Math – Patterns‚ Relationships‚ and Functions Content Standard: Students describe the relationships among
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