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“Teachers are thus free to provide students with whatever tools and knowledge their professional judgment and experience identify as most helpful for meeting the goals set out in the Standards.” ~ Introduction to the CCSS Algebra 2 Nov 2012 Objectives Evaluate and modify CCLS Aligned Regional Plan Interpret Learning Standards and Teaching strategies Identify and fix fluency weaknesses Aligning Algebra 2 The pathways and courses are models, not mandates. Units may also be considered “critical areas” or “big ideas” Unit follows the order of the standards document in most case not the order in which they might be taught Modeling (defined by a * in the CCSS) High School Functions A--‐REI.4. Solve quadratic equations in one variable. High School Illustrative Sample Item Seeing Structure in a Quadratic Equation 5 A--‐REI.4. Solve quadratic equations in one variable. Math Sprints Fluency in a minute Alg 2 Fluency Fractions (ops) Function ID by graph Fractions (equivalency) Operations needed with binomials Perfect Squares/cubes Squaring binomials Multiplication square vs. square root Factoring (alg) Simplify radicals Order of Ops Square roots of alg. Expressions Solving equation (2-step) Solve systems of equations Quadratic vs. Linear (process needed) Vocabulary I “On your mark, get set, GO!” 1 minute, race against yourself, trying to answer as many as questions as possible. Internal voice, “Faster, Faster, Faster!” II End of the minute: “Stop” Calling out Answers Students ‘choral’ response “Yes” if they got it correct If Wrong, circle and correct if time Teacher continues calling until he doesn’t hear “Yes” “Raise Hand if you got one or more right, 2,3,4… until winner(s) is determined. Applause III Finish remainder of sprint Cool down period Let continue as long as most students are engaged Students who are finished can distribute material for next sprint Time constraints? Give one minute for step IV Fast exercise, happy hands. Counting Forward and backward V Second Sprint, same as the first Teacher calls out answers Students Respond “Yes!”, until last “Yes” “Raise hands if they got more than “2,3,4…” correct? Recognize winner Making a Sprint Sprint A 1. 2. 3. 4. 5. 2+1 4+1 6+1 7+2 17+4 Sprint B 1. 2. 3. 4. 5. 3+1= 5+1= 7+1= 6+2= 16+5= What do Sprints look like? Fast Already mastered material Use a watch (coach hat if wanted ) Weakest should get 11 correct (min) Strongest should not be able to finish Take home next days sprint (for some.) Math Sprint Construction Rotate a minimum of 10 so they aren’t overly familiar. Giving the same sprint throughout the year is great for monitoring Four Quadrants Write Very Easy (1-11) Moderate (23-33) Easy (11-22) Difficult (34-44) your own to meet your kids where they are. Multiplication Facts X 1 2 3 4 5 6 7 8 9 1 1x1 1x2 1x3 1x4 1x5 1x6 1x7 1x8 1x9 2 2x1 2x2 2x3 2x4 2x5 2x6 2x7 2x8 2x9 3 3x1 3x2 3x3 3x4 3x5 3x6 3x7 3x8 3x9 4 4x1 4x2 4x3 4 x 4 4x5 4x6 4x7 4x8 4x9 5 5x1 5x2 5x3 5x4 5x5 5x6 5x7 5x8 5x9 6 6x1 6x2 6x3 6x4 6x5 6x6 6x7 6x8 6x9 7 7x1 7x2 7x3 7x4 7x5 7x6 7x7 7x8 7x9 8 8x1 8x2 8x3 8x4 8x5 8x6 8x7 8x8 8x9 9 9x1 9x2 9x3 9x4 9x5 9x6 9x7 9x8 9x9 Commutative Property Identity Property Doubles Squares Fives Challenge (benchmark) (benchmark) Gene Jordan’s work but I got the Idea from Gina King’s article:www.nctm.org teaching children mathematics • King, Fluency with Basic Addition, September 2011 p. 83 Math Sprints Ready, Set, Go! Sprint A Review Sprint A Math Moves Sprint B Review Sprint B Cool Down Make your own B Improvement ____ Correct ____ Solve 1 23 2 24 3 25 4 26 5 27 6 28 7 29 8 30 9 31 10 32 DRAFT 19 New York State Assessment Transition Plan ELA & Math Assessment – Grade / Subject ELA Grades 3-8 2011-12 Revised October 2012-13 20, 2011 2013-14 2014-15 Aligned to 2005 Standards 1 Aligned to the Common Core Grade 9 Grade 101 Grade 11 Regents PARCC2 Aligned to 2005 Standards Math Grades 3-8 3 Algebra I Aligned to 2005 Standards Aligned to 2005 Standards 3 Aligned to 2005 Standards 3 Aligned to 2005 Standards Geometry Algebra II Aligned to the Common Core Aligned to the Common Core Aligned to the Common Core 4 PARCC2 Additional State Assessments NYSAA NYSESLAT Aligned to the Common Core Aligned to 2005 Standards NCSC5 Aligned to the Common Core 1 New ELA assessments in grades 9 and 10 will begin during the 2012-13 school year and will be aligned to the Common Core, pending funding. 2 The PARCC assessments are scheduled to be operational in 2014-15 and are subject to adoption by the New York State Board of Regents. The PARCC assessments are still in development and the role of PARCC assessments as Regents assessments will be determined. All PARCC assessments will be aligned to the Common Core. 3 The names of New York State’s Mathematics Regents exams are expected to change to reflect the new alignment of these assessments to the Common Core. For additional information about the upper-level mathematics course sequence and related standards, see the “Traditional Pathway” section of Common Core Mathematics Appendix A. 4 The timeline for Regents Math roll-out is under discussion. 5 New York State is a member of the NCSC national alternate assessments consortium that is engaged in research and development of new alternate assessments for alternate achievement standards. The NCSC assessments are scheduled to be operational in 2014-15 and are subject to adoption by the New York State Board of Regents. Accelerated Timeline 2011-12 2012-13 13-14 14-15 15-16 16-17 17-18 State Transition Plan Gr 5 NA* 5th Gr Exam Aligned 3-8 Gr 6 6th Grade Exam Aligned Alg & Geo Aligned Alg 2 Gr 7 Gr 8 7th Grade Exam Algebra Gr 9 Geometry Gr 10 Algebra 2 Gr 6 NA 6th Gr Exam Gr 7 7th Grade Exam Gr 8 Algebra Gr 9 Geometry Gr 10 Algebra 2 Gr 11 Gr 12 Pre- Calculus Calculus Gr 7 NA 7th Gr Exam Gr 8 NA Algebra Gr 9 Geometry Gr 10 Algebra 2 Gr 11 Pre- Calculus Gr 12 Calculus Gr 8 NA Algebra (8th Grade Exam) Hybrid** Algebra Hybrid Geometry Hybrid Alg 2 Gr 9 Gr 10 Gr 11 NA Geometry NA Algebra 2 Pre- Calculus Gr 11 Pre- Calculus Gr 12 Calculus * NA= Non Aligned to the CCLS ** A Hybrid course might be a temporary change to a curriculum that helps fill in the gaps because there is no transistion period. *** This brief overview doesn't account for expanded courses. Mainstream Math Students 2011-12 2012-13 13-14 14-15 15-16 16-17 17-18 State Transistion Plan Aligned 3-8 Aligned Alg & Geo Aligned Alg 2 Gr 5 Gr 6 Gr 7 Gr 8 Gr 9 Gr 10 Gr 11 NA* 5th Gr Exam 6th Grade Exam 7th Grade Exam 8th Grade Exam Algebra Geometry Algebra 2 Gr 6 Gr 7 Gr 8 Gr 9 Gr 10 Gr 11 Gr 12 NA 6th Gr Exam 7th Grade Exam Grade 8 Exam Algebra Geometry Algebra 2 Pre-Calculus Gr 7 Gr 8 Gr 9 Gr 10 Gr 11 Gr 12 NA 7th Gr Exam 8th Grade Exam Algebra Geometry Algebra 2 Pre-Calculus Gr 8 Gr 9 Gr 10 Gr 11 Gr 12 NA 8th Grade Exam NA Algebra Geometry Algebra 2 Pre-Calculus Hybrid Geometry Hybrid Algebra 2 Gr 9 Gr 9 Gr 10 Gr 11 Gr 12 NA Algebra NA Geometry NA Algebra 2 Pre Calculus Calculus * NA= Non Aligned to the CCLS ** A Hybrid course might be a temporary change to a curriculum that helps fill in the gaps because there is no transistion period. 2011-12 Expanded Time Math Students 2012-13 13-14 14-15 15-16 16-17 17-18 State Transistion Plan Aligned 3-8 Aligned Alg & Geo Aligned Alg 2 Gr 5 Gr 6 Gr 7 Gr 8 Gr 9 Gr 10 Gr 11 NA* 5th Gr Exam 6th Grade Exam 7th Grade Exam 8th Grade Exam Pt 1 Algebra Pt 2 Algebra Geo Trig 1 Gr 6 Gr 7 Gr 8 Gr 9 Gr 10 Gr 11 Gr 12 NA 6th Gr Exam 7th Grade Exam Grade 8 Exam Pt 1 Algebra Pt Algebra Geo Trig 1 Geo Trig 2 Gr 7 Gr 8 Gr 9 Gr 10 Gr 11 Gr 12 NA 7th Gr Exam 8th Grade Exam Pt 1 Algebra Pt 2 Algebra Geo Trig 1 Geo Trig 2 Gr 8 Gr 9 Gr 10 Gr 11 Gr 12 NA 8th Grade Exam NA Pt 1 Algebra Pt 2 Algebra Geo Trig 1 Geo Trig 2 Hybrid Pt 1 Alg Hybrid Pt 2 Alg NA Pt 2 Algebra Geo Trig 1 Gr 9 NA Pt 1 Algebra Geo Trig 2 * NA= Non Aligned to the CCLS ** A Hybrid course might be a temporary change to a curriculum that helps fill in the gaps because there is no transistion period. Web Resources www.mangahigh.com (can be clunky) www.tenmarks.com www.xtramath.org www.xpmath.com (mostly games) www.ixlmath.com (paid, but good) www.map.mathshell.org