ࡱ>  <bjbjWW 4H55 )6 6 lll@@@@@sss$8NQlscrlsss@@#XlyuyuyusV@l@yusyuyuh@/<s 08s~8 8l(yusssyusssssss8sssssssss6 V: Using the space below add your task that answers the prompt below. Consider your grade level content. Design a task, using the number line model, related to a content standard. l--------------------------------------------I Example: Label the number line with -4 and 25 with an arrow pointing about 1/4th of the way across the number line. Ask students to: Determine the number indicated by the arrow on the number line below. Support your placement with a mathematically convincing argument. If the end points are "a" and "b" find a + b, a -b, a times b, a divided by b, on the number line Locate the following points on this number line: -2/3, - 4/3, 1/3, 3/5, 2.5, -1, -2 Place the following numbers on the number line. Support your placement with a mathematically convincing argument. "8, "4, "9, 0, 1, -1      Use the Pythagorean Theorem and the above number lines to prove that 3, 4, & 5 are in fact one of the Pythagorean Triples. Find three other Pythagorean triples that also work (try not to use multiples of the original given example). Local the following number on the number line. Support your placement with a mathematically convincing argument. 1/3 1/2 3/4 5/4  Solve the following linear equations. A) 2x + 5 = 12 B) 4x - 3 = 1/2 C) 2x - 5 = 5x + 7 When you have your solution, place the linear equations on the number line and provide a convincing argument for why the equations belong there. Place the following exponents on the number line, and provide a convincing argument for your placement: 3-2, 125, 2-3, -2-3, -22 Locate the following points on the number line: -3/2, -3/4, Jose lives twice the distance from school as Marco and Juan lives 3/4 the distance of Marco. If Jose lives 4 miles away from school. How far does Juan live from school? Using the number line below label the school and the boy's houses.  Place the following fractions on the number line. Support your placement with a mathematically convincing argument 3/10 2/5 37/100 1/5 Locate "8 on the number line and explain your reasoning to the nearest integer to the nearest tenth to the nearest hundredth  Solve the linear equation and locate the solution on the number line 3x + 7 = 6  Using a number line compare 5/8 and 2/3 to 1. Without doing the standard mathematics, using only logical reasoning, place the following fractions on a number line from 0 to 2. 8/17, 12/23, 5/14, 3/13, 1/4, 1/2, 1/3. Explain your reasoning.  Locate the following numbers on a number line: -3.5, 7/2. How far is each point from zero? 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