This document contains summaries from Jamiya Hagger of observations of their Math 2163 class. Over multiple dates, Jamiya evaluated sections on completing the square, finding the radius of a circle using Pythagorean theorem, adding and multiplying exponents, solving the quadratic formula, and using Pythagorean theorem to find the hypotenuse. For each section, Jamiya provided details on the topic, competencies evaluated, key words and their definitions, teaching strategies used, and any suggested improvements.

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.