Transcript Kennedy Middle School Mathematics Placement Information night

KENNEDY MIDDLE SCHOOL
MATHEMATICS
PLACEMENT INFORMATION
NIGHT
June 8, 2012
UPDATED MATHEMATICS COURSE
CONTENT FOR 2012-2013 AND BEYOND
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MA common core implemented for fall 2012 in Race
To The Top districts, (Natick is a RTTT district)
In mathematics, increased instruction in algebraic
concepts, increased rigor of mathematics PreK-8
Significant changes for grades 7 and 8
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More challenge for all students
New content allows students to have a comprehensive
mathematics experience, no skipped content from any grade level
Completing grade 7 and 8 mathematics allows students to be
better prepared for high school algebra honors
Grade 8 mathematics includes much of the content from algebra
(75% algebraic concepts); levels the field in preparation for
rigorous HS honors study
New honors algebra concepts include topics previously studied in
HS algebra II
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UPDATED GRADE 7 AND 8 COURSES,
2012
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Grade 7
Accelerated (Compacted grade 7 curriculum and 2/3
of grade 8 curriculum)
 Standard (Grade 7 curriculum)
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Grade 8
Honors Algebra (Blend of Frameworks and Common
Core – same as high school)
 8th grade math (Grade 8 Common Core curriculum)
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UPDATED 2013 AND BEYOND
GRADE 7 COURSE DESCRIPTIONS
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Grade 7 mathematics
Develop an understanding of and apply proportional
relationships; develop an understanding of operations with
rational numbers and work with expressions and linear
equations; work with two- and three-dimensional shapes to
solve problems involving area, surface area, and volume; and
draw inferences about populations based on samples.
 Accelerated
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Grade 7 mathematics
Develop a unified understanding of numbers, recognize
fractions, decimals and percents as different representations
of rational numbers; use linear equations and systems of
linear equations to represent, analyze, and solve a variety of
problems; compare data sets and use random sampling; solve
problems involving the area and circumference of a circle and
surface area of three-dimensional objects
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UPDATED GRADE 8 MATHEMATICS
AND HONORS ALGEBRA COURSE
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Grade 8 mathematics
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In-depth study of linear relationships and equations,
functions, the exploration of irrational numbers,
geometric graphing with connections to algebra,
statistics and the connection of linear relations with the
representation of bivariate data. 75% more algebra will
be evidenced in grade 8 mathematics
Honors Algebra
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Honors Algebra course starts with more advanced topics
and includes more in-depth work with linear functions,
exponential functions and relationships; introduces
quadratic relationships; and goes beyond the previous
high school standards in statistics. Dips into some
concepts from Algebra II
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INCREASED RIGOR
GRADE 8 MATHEMATICS AND ALGEBRA STANDARDS
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PreK-8 mathematics now includes a tight progression
of rigorous skills and knowledge designed to provide
a strong foundation for success in mathematics and
in algebra understanding
Many of the algebra topics previously included in the
current Honors Algebra course are now in the
updated Grade 8 mathematics course, providing a
solid foundation for grade 9 honors algebra
The updated Grade 8 mathematics course standards
are of significantly higher rigor than the former
Grade 8 standards.
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Grade 8 mathematics standards address the foundations of algebra by
including content that was previously part of the Honors Algebra
course standards
 such as more in-depth study of linear relationships and equations,
functions, and irrational numbers.
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INCREASED RIGOR
HONORS ALGEBRA STANDARDS
The updated Honors Algebra course builds on the
updated Grade 8 standards and is more advanced than
the current Algebra I course.
 The updated Honors Algebra (replacing existing
Honors Algebra) course starts with more advanced
topics and includes linear functions, exponential
functions and relationships, introduces quadratic
relationships, and goes beyond the previous high
school standards in statistics and includes some topics
previously taught in Algebra II.
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SCHOOL YEAR 2012- 2013
GRADE 7
9
GRADE 8
Grade 8 mathematics
(Common Core)
GRADE
Honors Algebra
(Common Core)
or Algebra
Grade 7 Standard
Honors Algebra (Blend of
Frameworks and Common
Core)
Honors Geometry
or Geometry
Grade 8
mathematics(Common
Core)
Honors Algebra (Common
Core)
Honors Algebra (Blend of
Frameworks and Common
Core)
Honors Geometry or
Geometry
Grade 7 Accelerated
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ACCELERATED MATHEMATICS IN MIDDLE
SCHOOL
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New “compacted” pathways for Grade 7, Grade 8, and the Honors
Algebra course compress the material into an accelerated pathway for
students in grades 7 and 8, allowing students to enter the Honors
Geometry course in grade 9.
Selection and placement of students into accelerated opportunities must
be done carefully in order to ensure success.
The compacted pathway is advanced work at an accelerated pace,
creating challenge for these students who will study 8th grade
standards and Honors Algebra standards in a compressed time frame
that are significantly more rigorous than in the past.
The DESE recommends that placement decisions be made based upon a
common assessment to be reviewed by a team of stakeholders that
includes teachers and instructional leadership.
Natick has a comprehensive placement process in place:
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Iowa Algebra Readiness, MCAS, Teacher-created assessments, Teacher
recommendation
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ACCELERATING IN MIDDLE
SCHOOL
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SCHOOL YEAR 2013 AND BEYOND
GRADE 7
GRADE 8
GRADE 9
Grade 7
Mathematics
(Common Core)
Grade 8
Mathematics
(Common Core)
Honors Algebra
(Common Core) or
Algebra
Grade 7
Accelerated
Mathematics
(Common Core)
Algebra Honors
(Common Core)
Honors Geometry
(Common Core) or
Geometry
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ACCELERATING IN HIGH SCHOOL
Middle School
Grade 6
Grade 7
High School
Grade 8
Honors
Algebra
or
Algebra
Algebra
II
Honors
or
Geometry
or
Geometry
Honors
Geometry
or
Geometry
Acceleration
Geomet
Decision Points
ry
Precalc
Calculus
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CONCLUSION
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New content for mathematics courses including algebraic
understanding levels the playing field for middle school
students
New courses content assures solid foundation of
mathematics to ensure student success in high school
mathematics and beyond
New courses support continued support of all students to
be prepared for honors mathematics at high school
The percentage of students taking honors high school
classes has increased, students are enrolling in honors
classes and remaining in them
Placement process for high school is accurate and supports
the learners,
Analysis of ASSISTments, MCAS, common assessments to
identify areas of strength and remediation is ongoing and
informs teacher and student progress
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ALGEBRA I 2012-2013 (COMMON
CORE/FRAMEWORKS)
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Connections to Algebra: Variables in Algebra, Equations and
Inequalities, Tables and Graphs, Intro to Functions
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Solving Linear Equations: Solve Equations, Formulas and
Functions, Rates, Ratios, and Percents, Inductive and Deductive Reasoning
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Graphing Linear Equations and Functions:
Scatterplots, Graph Linear Equations (Intercepts, Slope), Functions and Relations
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Writing Linear Equations: Slope-Intercept Form, Given Slope and
a Point, Point-Slope Form, Given Two Points, Fit a Line to Data, Standard Form of a
Linear Equation
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Systems of Linear Equations/ Inequalities: Solve
Linear Systems: graphing, substitution, combination, Application of Linear
Systems, Special Types of Linear Systems, Solving Systems of Linear
Inequalities, Solve Linear and Quadratic system
ALGEBRA I 2012-2013 (COMMON
CORE/FRAMEWORKS), CON’T
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Solving and Graphing Linear Inequalities: Solve OneStep Linear Inequalities, Solve Multi-Step Linear Inequalities, Solve AbsoluteValue Equations and Inequalities, Graph Linear Inequalities, Stem-and-Leaf
Plots/Measures of Central Tendency, Box-and Whisker Plots
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Exponents and Exponential Functions: Multiplication
Properties of Exponents, Exponential Growth Functions, Exponential Decay
Functions, Rational Exponents
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Quadratic Equations and Functions: Solve Quadratic
Equations by Finding Square Roots, by Graphing, by the Quadratic Formula
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Polynomials and Factoring: Add, Subtract, Multiply Polynomials,
Special Products of Polynomials, Solve Polynomial Equations in Factored Form,
Factoring Special Products, Factor Using the Distributive Property
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Radicals, etc. Completing the Square, Introduction to Logarithms and
Trigonometry, Properties of Irrational Numbers