CAPS Meeting November 29, 2011 Presented by Dr. Pamela Seda, Director of Secondary Mathematics

Who wants to be a millionaire video clipvideo clip 2 Shifting from graduation rate to college and career readiness.

GPSCommon Core Numbers and Operations M8N1. Students will understand different representations of numbers including square roots, exponents, and scientific notation. h. Distinguish between rational and irrational numbers. The Number System (8.NS) Know that there are numbers that are not rational, and approximate them by rational numbers. 1. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. 2. Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π 2 ). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

GPS Numbers and Operations MM2N1. a.Write square roots of negative numbers in imaginary form. b.Write complex numbers in the form a + bi. c.Add, subtract, multiply, and divide complex numbers. d.Simplify expressions involving complex numbers. Common Core The Complex Number System (MCC9-12.N.CN) 1.Know there is a complex number i such that i 2 = −1, and every complex number has the form a + bi with a and b real. 2.Use the relation i 2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. 3.(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

Algebra Process Standards Number and Operations Common Core Georgia 6-8 Performance Standards Measurement Geometry Algebra Data Analysis and Probability Functions The Number System Expressions and Equations Statistics and Probability Geometry Mathematical Practices Ratios and Proportional Reasoning

Common Core Georgia 9-12 Performance Standards Number and Operations Geometry Algebra Data Analysis and Probability Number and Quantity Algebra Functions Modeling Geometry Mathematical Practices Process Standards Statistics and Probability

CCGPS Math Practices “The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important ‘processes and proficiencies’ with longstanding importance in mathematics education.” (CCSS, 2010)

1. Make sense of complex problems and persevere in solving them. 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. (CCSS, 2010)

3-1 Worksheet Falling Bridges Problem 10

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