“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