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Connections to Factoring in Middle School - CAMT 2014

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Eloise Kuehnert

on 21 July 2014

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Transcript of Connections to Factoring in Middle School - CAMT 2014

Numeric Foundational Connections to Factoring
Current TEKS
A.4(A) The student is expected to f
ind
specific function values,
simplify

polynomial

expressions
,
transform
and
solve
equations, and
factor
as necessary in
problem

situations
A.4(B) The student is expected to
use
the commutative, associative, and
distributive properties
to simplify algebraic expressions
Eloise Kuehnert
University of North Texas
mrs. kuehnert@gmail.com

TEKS

Student Prior Knowledge

Revised TEKS
(adopted 2012)
A.10(D) Number and Algebraic Methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms, and perform operations on, polynomial expressions.
The student is expected to
rewrite
polynomial expressions
of degree one and degree two in equivalent forms
using the distributive property
.
6.7(D) Expressions, equations, and relationships. The student applies mathematical process standards to develop concepts of expressions and equations.
The student is expected to
generate

equivalent expressions
using the properties of operations: inverse, identity, commutative, associative, and
distributive properties
.
http://www.esc4.net/users/0205/AlgI_TEKS_Comparisons.pdf
http://www.esc4.net/users/0205/AlgI_TEKS_Comparisons.pdf
http://www.projectsharetexas.org/sites/default/files/resources/documents/Gr6_TEKS_SidebySide.pdf
A.10E Number and Algebraic Methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms, and perform operations on, polynomial expressions.
The student is expected to
factor
, if possible,
trinomials
with real factors in the form ax^2+ bx + c, including perfect square trinomials of degree two.
Students know multiplication facts
Students understand vocabulary factor, sum, product, etc.
Students have had the opportunity to explore with the base-10 blocks, and Algeblocks (or Algebra Tiles)
Properties (distributive, commutative, etc.)
6.7(C) Expressions, equations, and relationships. The student applies mathematical process standards to develop concepts of expressions and equations.
The student is expected to
determine
 if two expressions are equivalent using 
concrete models, pictorial model, and algebraic representations
http://www.projectsharetexas.org/sites/default/files/resources/documents/Gr6_TEKS_SidebySide.pdf
5E Lesson
Factoring

Algebra Tiles
$0.99 iPad App

Number Pieces
FREE iPad App

Resources
TEKS Comparison Charts
http://www.esc4.net/default.aspx?name=math.teks-charts

Side-By-Side TEKS Comparison and Vertical Alignment
http://www.projectsharetexas.org/resource-index?field_resource_keywords_tid=mathematics

TEKS Snapshots
http://lead4ward.com/resources/

Richardson, K., Pratt, S., & Kurtts, S. (2010). Imagery and utilization of an area
model as a way of teaching long division: Meeting diverse student needs.
Oklahoma Journal of School Mathematics

Tent, M. (2006). Understanding the Properties of Arithmetic: A Prerequisite
for Success in Algebra. Mathematics Teaching in the Middle School.

Gregg, J., and Gregg, D. (2007) Measurement and Fair-Sharing Models for Dividing
Fractions. Mathematics Teaching in the Middle School.

Xtreem Mathematics, (2008). Factoring


Engage
Explore
Explain
Elaborate
Evaluate
Evaluate
Evaluate
Evaluate
Process Standards
http://www.esc4.net/default.aspx?name=math.teks-charts
http://lead4ward.com/resources/
(x+3)(x+4)
(10+3)(10+4)
=
100
+ 70
+ 12
(x-3)(x+4)
The process standards are what we teach,
the content is the vehicle in which we teach the process standards.
As we lesson plan. . .
Think
Instead of
How do I teach Factoring
How am I going to use Factoring to teach the process standards?

A = lw = (x+4)(3x+4)
Watch for students who
add 2 instead of 4.
Briefly read through Lily's Garden
on your own.

What are some ways this explanation
piece can be implemented in your
classroom.
www.tinyurl.com/CAMT14_FactCon
Connections to Factoring in Middle School
Engage
Divide 156 by 13
Learning Target
By the end of this session, we will connect division problems to the abstract concept of factoring in Algebra.
#3622
This Property, Distributive Property
Wednesday 11:30 - 12:30
Omni Sundance 4

#3081
Understanding, Not Just Doing--
Multiplying/Factoring Polynomials
Drs. Sarah Pratt and Colleen Eddy
Omni Sundance 2
Full transcript