**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

University of North Texas

mrs. kuehnert@gmail.com

**TEKS**

Student Prior Knowledge

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

Factoring

**Algebra Tiles**

$0.99 iPad App

$0.99 iPad App

**Number Pieces**

FREE iPad App

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