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Ch5 Quadratic Equations and Functions Cross-Curricular Ties: -Projectiles -QUADRADICS! I Can… A.SSE.2 expressions, such as difference of squares, factoring out a common monomial, regrouping, etc -identify ways to rewrite expressions based on the structure of the expression -use the structure of an expression to identify ways to rewrite it. -classify expression by structure and develop strategies to assist in classification A.SSE.1 -create equations in two or more variables to represent relationships between quantities -graph equations in two variables on a coordinate plane and label the axes and scales -solve multi-variable formulas or literal equations for a specific variable A.CED.1 N.CN.7 N.CN.2 N.CN.1 N.CN.8 F.IF.8 Solve quadratic equations with real coefficients that have complex solutions Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. Know there is a complex number i such that i2 = –1, and every complex number has the form a + bi with a and b real Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i). Use completing the square to factor Project ties: Rocket activity packet Keywords: See key vocabulary on page 237 Suggested Text PH2011 Topic(s) Common Core Factoring Review, Zero product property 5.4, 5.5 A.SSE.2 General Quadratic Review and graphing 5.1, 5.2, 6.1 A.SSE.1, A.CED.1 Square root method, quadratic formula (real sol’ns) reviews 5.4, 5.8 Complex Numbers 5.6 N.CN.7, N.CN.2, N.CN. 1 Factoring sum of squares, quadratic formula with imaginary solutions 5.8, factoring sum of squares N.CN.8 Completing the square 5.7 F.IF.8 Science, Technology, Engineering, & Math (STEM) Activities Quadratic Functions video: Suggested Assessments/Products/Activities No 1 2 3 4 5 Assignment Watch the Quadratic Pump-Up Video Define all terms/keywords on 3x5 cards Go through examples 1, and 2. Pg 241 1-12 Go to Lesson “The Finger Examples 1,2, 1, on regents. Dude.” and 3 in Book Teaches you on page 245 how to graph. Assessment Watch mathtrain, and mathtrain2 Watch Kahn academy 1, 2, 3, 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Pg 248 1-27 odd (USE GRAPH PAPER!) Look at the box titled “The Vertex form to standard form Family of Quadratic Functions.” And look at examples 1, 2, 3, and 4 on pp253 in your book Pg 255 1-35 odd Teach me how to factor Factoring intro game Look at examples Factoring Kahn 1, 2, 3 First 5 at Entertaining 1-7 on page 262 regents factoring guy 1, 2 Pg 263 1-45 odd Simplify the Bieber, watch kahn Look at example 1, and 2 on page 266 achademy Do 1-10 on pg 266 Look at examples 1-3 pg 267 Zero product property rule Do pg 270 1-17 odd Complex numbers great joke Kahn achademy Examples 1-7 pg 276 Watch only the 1, 2, 3 first 10-15 min of this. Welcome to the 50s at MIT. Were i came from (optional) Pg 278 1-41 odd Mathtrain Look at Kahn completing Regents complete the examples 1-5 in the square completing the square 1, 2 book square (fractional coefficents) Pg 285 1-35 odd Quad solve rap, and don’t forget the baby! Look at examples 1-2 in Quadratic formula regents book kahn 1, 2, 3, 4 Chapter review 1-71 odd (optional) Rocket activity packet Chapter test Additional Resources: Prentice Hall Videos and Text Book http://phschool.com/webcodes10/index.cfm?area=view&wcprefix=auk&wcsuffix=0099 Chapter PowerPoints