Algebra 2Nov 2012

“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

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 FunctionsA--‐REI.4. Solve quadratic equations in one variable.

High School Illustrative Sample ItemSeeing Structure in a Quadratic Equation

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A--‐REI.4. Solve quadratic equations in one variable.

Math SprintsFluency in a minute

Alg 2 FluencyFractions (ops) Function ID by graphFractions (equivalency) Operations needed with binomialsPerfect Squares/cubes Squaring binomialsMultiplication square vs. square rootFactoring (alg) Simplify radicalsOrder of Ops Square roots of alg. ExpressionsSolving equation (2-step) Solve systems of equationsQuadratic 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 SprintSprint A

1. 2+12. 4+13. 6+14. 7+25. 17+4

Sprint B1. 3+1=2. 5+1=3. 7+1=4. 6+2=5. 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 your own to meet your kids where they are.

Very Easy (1-11) Moderate (23-33)Easy (11-22) Difficult (34-44)

Multiplication Facts X 1 2 3 4 5 6 7 8 9

1 1 x 1 1 x 2 1 x 3 1 x 4 1 x 5 1 x 6 1 x 7 1 x 8 1 x 9

2 2 x 1 2 x 2 2 x 3 2 x 4 2 x 5 2 x 6 2 x 7 2 x 8 2 x 9

3 3 x 1 3 x 2 3 x 3 3 x 4 3 x 5 3 x 6 3 x 7 3 x 8 3 x 9

4 4 x 1 4 x 2 4 x 3 4 x 4 4 x 5 4 x 6 4 x 7 4 x 8 4 x 9

5 5 x 1 5 x 2 5 x 3 5 x 4 5 x 5 5 x 6 5 x 7 5 x 8 5 x 9

6 6 x 1 6 x 2 6 x 3 6 x 4 6 x 5 6 x 6 6 x 7 6 x 8 6 x 9

7 7 x 1 7 x 2 7 x 3 7 x 4 7 x 5 7 x 6 7 x 7 7 x 8 7 x 9

8 8 x 1 8 x 2 8 x 3 8 x 4 8 x 5 8 x 6 8 x 7 8 x 8 8 x 9

9 9 x 1 9 x 2 9 x 3 9 x 4 9 x 5 9 x 6 9 x 7 9 x 8 9 x 9

CommutativeProperty

Identity Property

Doubles Squares(benchmark

)

Fives(benchmark)

Challenge

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 ownB Improvement ____ Correct ____Solve

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2  24  

3  25  

4  26  

5  27  

6  28  

7  29  

8  30  

9  31  

10   32  

New York State Assessment Transition PlanELA & Math

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Revised October 20, 2011

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.

Assessment – Grade / Subject 2011-12 2012-13 2013-14 2014-15

ELA Grades 3-8 Aligned to 2005 Standards Grade 91 Grade 101

Aligned to the Common Core

Grade 11 Regents Aligned to 2005 Standards

PARCC2

Math

Grades 3-8 Aligned to 2005 Standards Aligned to the Common Core Algebra I3 Aligned to 2005 Standards Aligned to the Common Core Geometry3 Aligned to 2005 Standards Aligned to the Common Core4 Algebra II3 Aligned to 2005 Standards

PARCC2

Additional State Assessments NYSAA Aligned to the Common Core NCSC5 NYSESLAT Aligned to 2005 Standards Aligned to the Common Core

DRAFT

Accelerated Timeline

2011-12 2012-13 13-14 14-15 15-16 16-17 17-18State Transition Plan Aligned 3-8 Aligned Alg & Geo Aligned Alg 2 Gr 5 Gr 6 Gr 7 Gr 8 Gr 9 Gr 10 Gr 11NA* 5th Gr Exam 6th Grade Exam 7th Grade Exam Algebra Geometry Algebra 2 Pre- Calculus Gr 6 Gr 7 Gr 8 Gr 9 Gr 10 Gr 11 Gr 12NA 6th Gr Exam 7th Grade Exam Algebra Geometry Algebra 2 Pre- Calculus Calculus Gr 7 Gr 8 Gr 9 Gr 10 Gr 11 Gr 12 NA 7th Gr Exam NA Algebra Geometry Algebra 2 Pre- Calculus Calculus Hybrid** Algebra Hybrid Geometry Hybrid Alg 2 Gr 8 Gr 9 Gr 10 Gr 11 Gr 12NA Algebra NA Geometry NA Algebra 2 Pre- Calculus Calculus(8th Grade Exam)

* 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 Students2011-12 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.

Expanded Time Math Students2011-12 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 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

Gr 9

NA Pt 1 Algebra NA Pt 2 Algebra Geo Trig 1 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