Transcript Slope & Lines in Geometry

Transitioning into
the New TEKS
Mrs. Michelle Rinehart
HS Math Consultant
ESC 18
Agenda
•
When?
•
Introductions
•
Mathematical
Process Standards
•
Strands
•
Changes…!
•
New Standards
•
Documents to HELP
Some Language…
Current TEKS – TEKS we have been
teaching for years and will continue to
teach for 2013-2015 (HS) or 2013-2014 (K8)
2012 TEKS – New TEKS approved in
2012 to be implemented as per…
When? HS
(b) No later than June 30, 2015, the commissioner of
education shall determine whether instructional
materials funding has been made available to Texas
public schools for materials that cover the essential
knowledge and skills for mathematics as adopted in
§§111.39-111.45 of this subchapter.
(c) If the commissioner makes the determination that
instructional materials funding has been made
available under subsection (b) of this section,
§§111.39-111.45 of this subchapter shall be
implemented beginning with the 2015-2016 school year
and apply to the 2015-2016 and subsequent school
years.
Source: Texas Education Code, Subchapter 111c
When? K-8
(b) No later than August 31, 2013, the commissioner of
education shall determine whether instructional
materials funding has been made available to Texas
public schools for materials that cover the essential
knowledge and skills for mathematics as adopted in
§§111.2-111.7 of this subchapter.
(c) If the commissioner makes the determination that
instructional materials funding has been made
available under subsection (b) of this section, §§111.2111.7 of this subchapter shall be implemented
beginning with the 2014-2015 school year and apply to
the 2014-2015 and subsequent school years.
Source: Texas Education Code, Subchapter 111a
pg 2
New TEKS Time Line*
Source: Lead4ward
School Year
Gr. K – 8
High School
2011-12
Revision Process
2012-13
Learn, Energize, Act, Develop
2013-14
2014-15
2015-16
Select
Materials
New
TEKS
*Pending Legislative approval for funding instructional materials
More
LEADING
Select
Materials
New
TEKS
pg 2
New TEKS Time Line*
School Year
Source: Lead4ward
2011-12
Gr. K – 8
High School
Revision Process
START NOW!
2012-13
2013-14
2014-15
2015-16
A long time…?
New
TEKS
New
TEKS
*Pending Legislative approval for funding instructional materials
Setup Your TEKS Booklet
Course
Current TEKS
New TEKS
Algebra I
p. 1
p. 21
Algebra II
p. 4/5
p. 26
Geometry
p. 9
p. 30
PreCal
p. 12
p. 35
Math Models
p. 14
p. 40
AQR
p. 17
p. 44
Introductions
Current TEKS
New TEKS
Algebra I, Geometry,
All courses:
Algebra II:
(b) Introduction
(a) Basic
Read
(1),
(3),
and
(4)
Understandings
for now –
Skip (2): “The process
PreCal, Math Models,
standards…”
AQR:
(b) Introduction
Mathematical Process
Standards
(b) Introduction
(2) The process standards…
General comments…
Mathematical Process
Standards
(c) Knowledge and Skills.
(1) Mathematical process
standards. The student…
(A)…
Other Specifics…
In Summary…
Mathematical Process
Standards
Mathematical process standards. The student uses
mathematical processes to acquire and demonstrate
mathematical understanding. The student is expected
to:
(A) apply mathematics to problems arising in
everyday life, society, and the workplace;
(B) use a problem-solving model that
incorporates analyzing given information, formulating
a plan or strategy, determining a solution, justifying the
solution, and evaluating the problem-solving process
and the reasonableness of the solution;
Mathematical Process
Standards
(C) select tools, including real objects,
manipulatives, paper and pencil, and technology
as appropriate, and techniques, including mental
math, estimation, and number sense as
appropriate, to solve problems;
(D) communicate mathematical ideas,
reasoning, and their implications using multiple
representations, including symbols, diagrams,
graphs, and language as appropriate;
Mathematical Process
Standards
E) create and use representations to
organize, record, and communicate
mathematical ideas;
(F) analyze mathematical relationships to
connect and communicate mathematical ideas;
and
(G) display, explain, and justify
mathematical ideas and arguments using precise
mathematical language in written or oral
communication.
Strands
Strands:
Algebra I
Current TEKS
• Foundations for Functions
2012 TEKS
•
Mathematical Process
Standards
•
Linear Functions, Equations,
& Inequalities
•
Quadratic Functions &
Equations
•
Exponential Functions &
Equations
•
Number & Algebraic
Methods
• Linear Functions
• Quadratic and Other NonLinear Functions
Strands:
Geometry
Current TEKS
2012 TEKS
• Geometric Structure
•
Mathematical Process Standards
• Geometric Patterns
•
Coordinate and Transformational
Geometry
• Dimensionality and the
Geometry of Location
•
Logical Argument and
Constructions
• Congruence and the
Geometry of Size
•
Proof and Congruence
•
Similarity, Proof, and Trigonometry
• Similarity and the Geometry
of Shape
•
Two-Dimensional and ThreeDimensional Figures
•
Circles
•
Probability
Strands:
Algebra II
Current TEKS
• Foundations for Functions
• Algebra and Geometry
• Quadratic and Square Root
Functions
• Rational Functions
• Exponential and Logarithmic
Functions
2012 TEKS
•
Mathematical Process Standards
•
Attributes of Functions & Their
Inverses
•
Systems of Equations & Inequalities
•
Quadratic & Square Root Functions,
Equations, & Inequalities
•
Exponential & Logarithmic
Functions & Equations
•
Cubic, Cube Root, Absolute Value
and Rational Functions, Equations,
& Inequalities
•
Number & Algebraic Methods
•
Data
Strands:
Pre-Calculus
Current TEKS
• No strands
2012 TEKS
• Mathematical Process
Standards
• Functions
• Relations & Geometric
Reasoning
• Number & Measure
• Algebraic Reasoning
Strands:
Grades 6-8
Current TEKS
2012 TEKS
• Number, Operation, &
Quantitative Reasoning
•
Mathematical Process
Standards
• Patterns, Relationships, &
Algebraic Thinking
•
Number & Operations
•
Proportionality
•
Expressions, Equations, &
Relationships
•
Measurement & Data
•
Personal Financial Literacy
• Geometry & Spatial
Reasoning
• Measurement
• Probability & Statistics
• Underlying Processes &
Mathematical Tools
Personal Financial Literacy:
Kindergarten
Personal financial literacy. The student applies mathematical
process standards to manage one's financial resources
effectively for lifetime financial security. The student is
expected to:
(A) identify ways to earn income;
(B) differentiate between money received as income
and money received as gifts;
(C) list simple skills required for jobs; and
(D) distinguish between wants and needs and identify
income as a source to meet one's wants and needs.
Personal Financial Literacy:
Grade 8
Personal financial literacy. The student applies mathematical
process standards to develop an economic way of thinking
and problem solving useful in one's life as a knowledgeable
consumer and investor. The student is expected to:
(A) solve real-world problems comparing how interest
rate and loan length affect the cost of credit;
(B) calculate the total cost of repaying a loan,
including credit cards and easy access loans, under various
rates of interest and over different periods using an online
calculator;
(C) explain how small amounts of money invested
regularly, including money saved for college and retirement,
grow over time;
Personal Financial Literacy:
Grade 8
(D) calculate and compare simple interest and
compound interest earnings;
(E) identify and explain the advantages and
disadvantages of different payment methods;
(F) analyze situations to determine if they represent
financially responsible decisions and identify the benefits of
financial responsibility and the costs of financial irresponsibility;
and
(G) estimate the cost of a two-year and four-year
college education, including family contribution, and devise a
periodic savings plan for accumulating the money needed to
contribute to the total cost of attendance for at least the first
year of college.
At First Glance
Strand OR
Topic
Content that
REMAINS or is
CLARIFIED
Content that
is NEW
!
Content that
is DELETED
Changes in Grade 8 Math
In TEA’s “Side-by-Side TEKS Comparison:
Grade 8” document, refer to pp. 6-10.
Strand OR
Topic
Content that
REMAINS or is
CLARIFIED
Content that
is NEW
Content that
is DELETED
Proportionality
Expressions,
Equations, &
Relationships
Vertical Changes:
Grade 8
Changes in HS Courses
Documents to consider:
• Region 4 Side-by-Sides (may mark on)
• Lead4ward Side by Sides (please do not
mark on)
Strand OR
Topic
Content that
REMAINS or is
CLARIFIED
Content that
is NEW
!
Content that
is DELETED
Poster(s) of NB ideas.
Vertical Changes
Algebra I
Geometry
Algebra II
PreCalculus
Vertical Changes
New Standards (!)
Three
types of “new”
standards:
 Standards
 “I
already do this.”
 Standards
already…
 “I
we already teach…
we should be teaching
need to be doing this.”
 Completely
 “This
new standards…
is new to me.”
Instructional Considersations!
Some Examples – Algebra I
New Standard
Current Standard
A.4B
Compare and contrast
association and
causation in real-world
problems.
Already do? Need to be doing?
Completely new?
Some Examples – Algebra I
New Standard
Current Standard
A.2G
Write an equation of a
line that is parallel or
perpendicular to the X
or Y axis and determine
whether the slope of the
line is zero or undefined.
Already do? Need to be doing?
Completely new?
Some Examples – Algebra II
New Standard
Current Standard
2A.4G
Identify extraneous
solutions of square
root equations.
Already do? Need to be doing?
Completely new?
Side-by-Side Analysis
 Analyze
new standard with their
current standards through the lens of
instructional considerations
 Two
contexts:
 considerations
2015-2016
 gaps
for full implementation in
I need to help fill right now
Side-by-Side Analysis
New Standard
Current Standard
Instructional
Considerations
CSCOPE Transition Alignment
Guide (TAG) Tool
 An
overview
CSCOPE Transition Alignment
Guide (TAG) Tool
New Standard
Unit
Extra
Days?
Instructional
Considerations
Agenda
•
When?
•
Introductions
•
Mathematical
Process Standards
•
Strands
•
Changes…!
•
New Standards
•
Documents to HELP