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### Observation

• 1. Name: Jamiya Hagger Date: February 19, 2009 Math 2163- Structure of Number Systems Journal Evaluation Form for Classroom Observations Topic or Section Evaluated(10 pts): Completing the Square Competencies Evaluated(20pts): In order to solve the equation, we need a perfect square trinomial. Key Mathematics Words Used and Defined by Instructor(40pts): Trinomial, factor, equation, perfect square, coefficient, square, formula, simplify, square root, plus or minus, adding and subtracting, dividing, simplifying. Strategies or Methods Used by Instructor(30 pts): Doing something to both sides of the equations. He wrote out each strategy and explained what he was going to do before he did it. He even went over key words that went with solving the problem. Suggested Improvements to Clarity: Write down ½ the middle term then square it( Show the formula for it)
• 2. Name Jamiya Hagger Date March 5, 2009 Math 2163- Structure of Number Systems Journal Evaluation Form for Classroom Observations Topic or Section Evaluated(10 pts): How to find the length of the radius of a circle if a chord of the circle has a length of 12cm and is 4cm from the center of the circle Competencies Evaluated(20pts): You have to have knowledge about geometry and algebra given sides, an equation, triangles, and pythagorean theorem. Key Mathematics Words Used and Defined by Instructor(40pts): Pythagorium Theorum, radius, diameter, chords, circle, squared, triangle Strategies or Methods Used by Instructor(30 pts): She drew and labled the circle for us so that she could find out what she neededl. Once she saw that she could make a triangle, she used Pythagorean theorem, showed us the equation, and then solved it step by step for us. Suggested Improvements to Clarity: nothing
• 3. Name Jamiya Hagger Date April 16, 2009 Math 2163- Structure of Number Systems Journal Evaluation Form for Classroom Observations Topic or Section Evaluated(10 pts): How to add , multiply exponents in different situations and rules that come with multiplying exponents. Competencies Evaluated(20pts): You have to know how to multiply, know how to deal with negative numbers, have some knowledge of algebra such as working with variables and exponents. Key Mathematics Words Used and Defined by Instructor(40pts): Exponents, power, notation, intergers, repeated multiplication, coefficients, repeated addition, quantity Strategies or Methods Used by Instructor(30 pts): He went by the definition first. Then he applied it to a real problem in an easy step by step process. Suggested Improvements to Clarity: He was great and explained everything clearly
• 4. Jamiya Hagger April 24, 2009 Math 2163- Structure of Number Systems Journal Evaluation Form for Classroom Observations Topic or Section Evaluated(10 pts): Solving using the Quadratic Formula Competencies Evaluated(20pts):Writing an equation in standard form, and solving using the quadratic formula and factoring. Key Mathematics Words Used and Defined by Instructor(40pts):Simplify, Coefficient, term, squared, quadratic formula, substitute, square root, solution, equation, factoring, standard form, decimation Strategies or Methods Used by Instructor(30 pts): He made sure each equation was in standard form, then showed us the quadratic formula and just plugged it in from there. He showed us the steps properly as well. Suggested Improvements to Clarity: He made a few mistakes as he went, so he needs to slow down. He also skipped over a few steps which may not be easy for typical algebra 1 or 2 students which it says it is for.
• 5. Jamiya Hagger April 30, 2009 Math 2163- Structure of Number Systems Journal Evaluation Form for Classroom Observations Topic or Section Evaluated(10 pts): Solve for hypotenuse using Pythagorean theorem, Spiral of Roots Competencies Evaluated(20pts): solve lengths of a triangle side using Pythagorean theorem and/or solving for a length of a triangle, solving for roots Key Mathematics Words Used and Defined by Instructor(40pts): square roots, Pythagorean theorem, square, hypotenuse, line segment, irrational number, right angle, diagonal, length, notation, units, right triangle Strategies or Methods Used by Instructor(30 pts): He drew a picture as well as the equation. He performed step by step process as well as solved more than one problem. Suggested Improvements to Clarity: He was not interesting, and he did not really explain everything fully.
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