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STAFF DEVELOPMENT WORKSHOP!

 

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STAFF DEVELOPMENT

 

Day1: Making Algebra Child's Play®

  for Teachers of Grades 6 - 8

 "Without any doubt, the foundational skill of algebra  

is fluency in the use of symbols."

 -Final Report of the National Mathematics Advisory Panel
Report of the Task Group on Conceptual Knowledge and Skills

 

 

Building a Solid Foundation

for Success in Algebra! 

 

Algebraic thinking is an important strand of both the NCTM and the Common Core Math Standards. The visual and kinesthetic approach of Hands-On Equations demystifies algebraic linear equations and provides students with a successful and enjoyable learning experience.

 

The focus of this Day1 workshop will be Levels 1 - 3 of Hands-On Equations and additional topics taken from the Common Core Math Standards for grades 6 - 8, such as working with inequalities, simultaneous equations, and equations with rational coefficients. 

 

By participating in this workshop, you will: 

  • Learn how to concretely and pictorially model algebraic linear equations.
  • Understand the "legal moves" which may be used to solve equations.
  • Learn how the "teacher-as-the-coach" mode of instruction enhances student communication.
  • Enable your students to understand and solve equations such as
    4x + 2 = 2x + 10 in three lessons and 2(2x + 3) = 3x + 7 in seven lessons.
  • Understand the power of Piagetian learning.
  • Learn why a vertical written notation for solving equations makes more sense to students.
  • Solve inequalities such as 5x - 3x + 2 > x + 1.
  • See how a concrete and pictorial approach can be used to solve verbal problems such as: "Sally is 4 years older than Tim. If the sum of their ages is 20, how old is each?"
  • Learn how a new, concise notation for "the opposite of x" simplifies the learning process.
  • Enable your students to use the addition property of equality, the property of additive inverses, and the additive identity property to solve equations such as x + 2 = 4 - x. and x - 3(-x) + 2 = 8 - 2x.
  • Learn a meaningful way to teach addition and subtraction of integers
  • Enable your students to solve equations such as 2(x-1) + 4(-x) = x - 8.
  • Learn an intuitive way to explain, for example, why (-8) divided by (-4) is a positive 2
  • Enable your students to mentally solve systems of equations such as 2x + y = 10 and x - y = -1.
  • Enable your students to solve fractional equations such as (1/3)x + 2/5 = 3/4 and (1/2)[(2/3)x - 1)] = 5/2.   
     

This workshop will help your students meet the following Common Core Math Standards:  

  • Look for and make use of mathematical structure
  • Construct viable arguments
  • Model with mathematics
  • Understand that positive and negative numbers have opposite values
  • Evaluate expressions in which letters stand for numbers
  • Understand the properties of equality and the concept of logical equivalence
  • Apply the distributive property to generate equivalent expressions
  • Solve linear equations with rational coefficients
  • Strategically choose and efficiently implement procedures to solve equations in one variable

    "It will make me a more effective teacher in the classroom as now I would be able to reach all students." - Workshop Participant
 

Recommended for:

This Day 1 workshop is recommended for math teachers of grades 6 - 8, teachers of older students struggling with algebraic linear equations, and teachers of the gifted grades 3 - 5. The Day 2 workshop, which provides extensive work with verbal problems, may be taken back-to-back with this one or at a later date.

 

To bring this training to your district:

Write to info@borenson.com or complete a form here and provide three alternate dates.

 

Note: All instructors are personally trained and certified by Dr. Henry Borenson, the inventor of Hands-On Equations, to guarantee that your teachers will have an exceptional training experience.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 
 

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