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 Speaking Standard 3
shirts and 4 skirts). 4.4.5 D. Discrete Mathematics—Vertex-Edge Graphs and Algorithms 1. Devise strategies for winning simple games (e.g., start with two piles of objects, each of two players in turn removes any number of objects from a single pile, and the...
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shirts and 4 skirts). 4.4.5 D. Discrete Mathematics—Vertex-Edge Graphs and Algorithms 1. Devise strategies for winning simple games (e.g., start with two piles of objects, each of two players in turn removes any number of objects from a single pile, and the person to take the last group of objects wins) and express those strategies as sets of directions. Building upon knowledge and skills gained in preceding grades, by the end of Grade 6, students will: 4.4.6 A. Data Analysis 1. Collect
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http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=36
www.nj.gov/education/cccs/2004/s4_math.pdf#page=36
mathematical perspectives on everyday phenomena and with important examples <span class="highlight">of</span> how mathematics is used in the modern world. Two important areas <span class="highlight">of</span> discrete mathematics are addressed in this standard; a third area, iteration and recursion, is addressed in Standard 4.3 (Patterns and Algebra). Data <span class="highlight">Analysis</span> (or Statistics). In today’s <span class="highlight">information</span>-based world, students need to be able to read, understand, and interpret data in order to make informed decisions. In the early grades, students should be involved in
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http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=38
www.nj.gov/education/cccs/2004/s4_math.pdf#page=38
describe practical sets <span class="highlight">of</span> directions (e.g., to add two 2-digit numbers). 2. Explore vertex-<span class="highlight">edge</span> graphs • Vertex, <span class="highlight">edge</span> • Path 3. Find the smallest number <span class="highlight">of</span> colors needed to color a map. Building upon knowledge and skills gained in preceding grades, by the end <span class="highlight">of</span> Grade 4, students will: 4.4.4 A. Data <span class="highlight">Analysis</span> 1. Collect, generate, organize, and display data in response to questions, claims, or curiosity. • Data collected from the school environment 2. Read, interpret, construct, analyze
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http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=40
www.nj.gov/education/cccs/2004/s4_math.pdf#page=40
shirts and 4 skirts). 4.4.5 D. Discrete Mathematics—Vertex-<span class="highlight">Edge</span> Graphs and Algorithms 1. Devise strategies <span class="highlight">for</span> winning simple games (e.g., start with two piles <span class="highlight">of</span> objects, each <span class="highlight">of</span> two players in turn removes any number <span class="highlight">of</span> objects from a single pile, and the person to take the last group <span class="highlight">of</span> objects wins) and express those strategies as sets <span class="highlight">of</span> directions. Building upon knowledge and skills gained in preceding grades, by the end <span class="highlight">of</span> Grade 6, students will: 4.4.6 A. Data <span class="highlight">Analysis</span> 1. Collect
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http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=42
www.nj.gov/education/cccs/2004/s4_math.pdf#page=42
shortest network connecting specified sites • Finding the shortest route on a map from one site to another • Finding the shortest circuit on a map that makes a tour <span class="highlight">of</span> specified sites Building upon knowledge and skills gained in preceding grades, by the end <span class="highlight">of</span> Grade 8, students will: 4.4.8 A. Data <span class="highlight">Analysis</span> 1. Select and use appropriate representations <span class="highlight">for</span> sets <span class="highlight">of</span> data, and measures <span class="highlight">of</span> central tendency (mean, median, and mode). • Type <span class="highlight">of</span> display most appropriate <span class="highlight">for</span> given data • Box-and-whisker plot
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