Student Teaching Evaluation of Performance (STEP)
Template
© 2019. Grand Canyon University. All Rights Reserved.   Page 1 of 24
Table of Contents
Student Teaching Evaluation of Performance (STEP) Template ..............................1
Table of Contents .......................................................................................................2
STEP Standard 1 - Contextual Factors: Knowing Your School and Community .....3
STEP Standard 2 - Writing Standards-Based Objectives and the Learning Goal .....5
STEP Standard 3 - Assessment and Data Literacy ....................................................7
STEP Standard 4 - Unit and Lesson Planning .........................................................10
STEP Standard 5 - Implementation of Instructional Unit .......................................20
STEP Standard 6 - Analysis of Student Learning....................................................22
STEP Standard 7 – Reflecting on Instruction to Improve Student Progress ...........24
© 2019. Grand Canyon University. All Rights Reserved.                                                    Page 2 of 24
 STEP Standard 1 - Contextual Factors: Knowing Your School and
                          Community
           Part I: Community, District, School, and Classroom Factors
You will be completing this portion of the STEP document using the following
link:
STEP Standard 1, Part I
After completing the e-doc portion, submit the PDF you receive into the Learning
Management System (LMS).
© 2019. Grand Canyon University. All Rights Reserved.                 Page 3 of 24
STEP Standard 1 - Contextual Factors: Knowing Your School and
Community
            Part II: Demographic, Environment, and Academic Factors
You will be completing this portion of the STEP document using the following
link:
STEP Standard 1, Part II
After completing the e-doc portion, submit the PDF you receive into the Learning
Management System (LMS).
© 2019. Grand Canyon University. All Rights Reserved.                 Page 4 of 24
STEP Standard 2 - Writing Standards-Based Objectives and the
Learning Goal
Unit Topic: Circles
Unit Title: Circles
National or State Academic Content Standards
CCSS.MATH.CONTENT.HSG.C.A.2
Identify and describe relationships among inscribed angles, radii, and chords. Include the
relationship between central, inscribed, and circumscribed angles; inscribed angles on a
diameter are right angles; the radius of a circle is perpendicular to the tangent where the
radius intersects the circle.
CCSS.MATH.CONTENT.HSG.C.A.3
Construct the inscribed and circumscribed circles of a triangle, and prove properties of
angles for a quadrilateral inscribed in a circle.
CCSS.MATH.CONTENT.HSG.C.A.4
(+) Construct a tangent line from a point outside a given circle to the circle.
CCSS.MATH.CONTENT.HSG.C.B.5
Derive using similarity the fact that the length of the arc intercepted by an angle is
proportional to the radius, and define the radian measure of the angle as the constant of
proportionality; derive the formula for the area of a sector.
Learning Goal
   1. Students will be able to construct a tangent line from a point outside a given circle and
      find related measurements.
   2. Students will be able to define chords and arcs and be able to prove theorems about them.
   3. Students will be able to find measurements of inscribed angles and shapes created by
      inscribed angles and tangents on circles.
   4. Students will be able to find measurements of more complex chords, arcs, and tangents
      on circles.
   5. Students will be able to form the equation of a circle on a coordinate plane and graph a
      circle.
© 2019. Grand Canyon University. All Rights Reserved.                             Page 5 of 24
Measurable Objectives
  1. By the end of the lesson, students will be able to construct a tangent line from a point
     outside a given circle and find related measurements by applying Theorems 12.1 and
     12.2.
  2. Students will be able to use theorems to find lengths and prove congruency of lengths of
     chords and arcs.
  3. Students will be able to use the Inscribed Angle Theorem and other theorems to find
     measures of angles and lengths associated with chords, arcs, and tangents on circles.
  4. Students will be able to find measurements of more complex chords, arcs, and tangents
     on circles.
  5. Students will be able to use the equation of circle to graph a circle on a coordinate plane
     and be able to identify the radius and center of the circle.
© 2019. Grand Canyon University. All Rights Reserved.                               Page 6 of 24
STEP Standard 3 - Assessment and Data Literacy
Pre-Assessment - Copy and paste the pre-assessment you plan to use to assess the students’
knowledge of the topic prior to implementing the unit lessons. Include the scoring criteria used
to determine whether the student Exceeds, Meets, Approaches, or Falls Far Below the learning
goal and measurable objectives.
© 2019. Grand Canyon University. All Rights Reserved.                                Page 7 of 24
Pre-Assessment Data: Whole Class - Once you have assessed your students’ knowledge on the topic,
collect and analyze the pre-assessment data to determine if you will need to modify the standards,
learning goal, or measurable objectives that will be addressed during instruction.
                                                                 Number of Students
Highly Proficient (90%-100%)                                               4
Proficient
(80%-89%)                                                                 12
Partially Proficient
(70%-79%)                                                                 17
Minimally Proficient
(69% and below)                                                           97
Pre-Assessment Analysis: Whole Class
Having done a pre-assessment in the previous unit, I was prepared for less than satisfactory
results from the students. However, unlike the previous unit, much of the content in this chapter
dealing with circles is new to them. There are connections to past concepts, but most of them
have never formally seen the application of these with circles.
I will keep the standards for the unit the same. There are a select few standards at the state level
that must be addressed in this unit. Learning goals and measurable objectives will also remain
the same. The completion of this assessment will occur when a very similar post-assessment will
be given after the unit. I will see the numbers side-by-side and be able to see growth with the
classes.
I was not expecting 80% proficiency for this pre-assessment, but I did notice that most students
did not apply one specific concept to problem #4—despite a hint for that concept. Students are
required to use the Pythagorean theorem to find the value of x. During the lesson, I will need to
be repetitive with the use of this concept. They should know it very well by now, but it has been
a few months since it was regularly used. This will also be something to track in the post-
assessment at the end.
I expect most students to meet the learning goal in the post-assessment. The content is
specifically covering these selected concepts that they were tested on. They will also be learning
the proper vocabulary associated with the unit. There are many new words for them to learn.
© 2019. Grand Canyon University. All Rights Reserved.                                  Page 8 of 24
Post-Assessment – Copy and paste the post-assessment you plan to use to assess the students’ knowledge
of the topic after implementing the unit lessons. The post-assessment can be the same as the pre-
assessment, a modified version, or something comparable that measures the same concepts. Include the
scoring criteria used to determine whether the student Exceeds, Meets, Approaches, or Falls Far Below the
learning goal and measurable objectives.
© 2019. Grand Canyon University. All Rights Reserved.                                     Page 9 of 24
STEP Standard 4 - Unit and Lesson Planning
Note: When implementing the unit of study, you will be choosing one of these activities to video record, review, and reflect on your teaching later
in the STEP process,
                                Day 1                    Day 2                    Day 3                     Day 4                  Day 5
Title of Lesson or      12.1 Tangent             12.2 Chords and          12.3 Inscribed          12.4 Angle               12.5 Circles in a
Activity                Lines                    Arcs                     Angles                  Measurement and          Coordinate Plane
                                                                                                  Segment Lengths
Standards and           Objective:               Objective:               Objective:              Objective:               Objective:
Objectives              Students will be         Students will be         Students will be        Students will be         Students will be
What do students        able to use tangent      able to define a         able to find the        able to describe the     able to create the
need to know and        segments and             chord and an arc         measure of an           relationship among       equation of a circle
be able to do for       circles to find          and how they relate      inscribed angle and     circles, segments,       with center (h. k)
each day of the         various values           to circles. Students     be able to find the     and chords.              and radius r using
unit?                   relating to the          will be able to find     measure of an angle     Students will be         the Cartesian
                        circle, including        various values           formed by a tangent     able to find             coordinate plane.
                        length of radius and     (angles and lengths      and a chord.            measurements of
                        length of tangent        of parts of chords                               these terms by           Standards:
                        segment, by using        and arcs using           Standards:              using various            CCSS.MATH.CONTENT.
                                                                          CCSS.MATH.CONTENT.                               HSA.CED.A.2
                        related theorems.        several theorems                                 theorems related to
                                                                          HSG.C.A.2                                   Create equations in
                        Students will be         provided to them.                                circles containing
                                                                          Identify and                                two or more
                        able to find various                                                      segments and
                        measurements of          Standards:               describe                chords.             variables to
                        triangles that are       CCSS.MATH.CONTENT.       relationships                               represent
                        circumscribed
                                                 HSG.C.A.2                among inscribed         Standards:          relationships
                                                 Identify and             angles, radii, and      CCSS.MATH.CONTENT. between quantities;
                        about circles.
                                                 describe                 chords. Include the     HSG.C.A.2
                                                                                                                      graph equations on
                                                 relationships            relationship            Identify and
                        Standards:                                                                                    coordinate axes
                                                 among inscribed                                  describe
                        CCSS.MATH.CONTENT.                                between central,                            with labels and
                        HSG.C.A.2                angles, radii, and                               relationships among
                                                                          inscribed, and                              scales.
                        Identify and             chords. Include the                              inscribed angles,
                                                                          circumscribed
                        describe                 relationship                                     radii, and chords.
© 2019. Grand Canyon University. All Rights Reserved.                                       Page 10 of 24
                       relationships           between central,      angles; inscribed     Include the
                       among inscribed         inscribed, and        angles on a           relationship
                       angles, radii, and      circumscribed         diameter are right    between central,
                       chords. Include the     angles; inscribed     angles; the radius    inscribed, and
                       relationship            angles on a           of a circle is        circumscribed
                       between central,        diameter are right    perpendicular to      angles; inscribed
                       inscribed, and          angles; the radius    the tangent where     angles on a
                       circumscribed           of a circle is        the radius            diameter are right
                       angles; inscribed       perpendicular to      intersects the        angles; the radius of
                       angles on a             the tangent where     circle.               a circle is
                                                                                           perpendicular to the
                       diameter are right      the radius
                                                                     CCSS.MATH.CONTENT.    tangent where the
                       angles; the radius      intersects the
                                                                     HSG.C.A.3             radius intersects the
                       of a circle is          circle.               Construct the         circle.
                       perpendicular to                              inscribed and
                       the tangent where       CCSS.MATH.CONTENT.
                                               HSG.C.B.5             circumscribed
                       the radius              Derive using          circles of a
                       intersects the          similarity the fact   triangle, and prove
                       circle.                 that the length of    properties of
                       CCSS.MATH.CONTENT.
                                               the arc intercepted   angles for a
                       HSG.C.A.4               by an angle is        quadrilateral
                       (+) Construct a         proportional to the   inscribed in a
                       tangent line from a     radius, and define    circle.
                       point outside a         the radian measure
                       given circle to the     of the angle as the   CCSS.MATH.CONTENT.
                                                                     HSG.C.B.5
                       circle.                 constant of           Derive using
                                               proportionality;      similarity the fact
                                               derive the formula    that the length of
                                               for the area of a     the arc intercepted
                                               sector.               by an angle is
                                                                     proportional to the
                                                                     radius, and define
© 2019. Grand Canyon University. All Rights Reserved.                                Page 11 of 24
                                                                    the radian measure
                                                                    of the angle as the
                                                                    constant of
                                                                    proportionality;
                                                                    derive the formula
                                                                    for the area of a
                                                                    sector.
Academic                 tangent, circle,      chord, arc,          inscribed angle,        intercepted arc,     center, radius, (h,
Language and             point of tangency,    endpoint, segment,   intercepted arc,        intersect, secant,   k), distance
Vocabulary               perpendicular,        congruent, central   tangent, chord,         segment, chord,      formula, coordinate
What academic            center, radius,       angle, bisect,       Inscribed Angle         tangent              plane, standard
language will you        diameter, endpoint,   bisector             Theorem                                      equation of a circle
emphasize and            inscribed,
teach each day           circumscribed
during this unit?
Summary of               1. Students will      1. Students will     1. Students will     1. Students will     1. Students will
Instruction and             work on the           work on the          work on the          work on the          work on the
Activities for the          warm-up. During       warm-up. During      warm-up. During      warm-up. During      warm-up. During
Lesson                      this time the         this time the        this time the        this time the        this time the
How will the                teacher will          teacher will         teacher will         teacher will         teacher will
instruction and             stamp                 stamp                stamp                stamp                stamp
activities flow?            homework. After       homework. After      homework. After      homework. After      homework. After
Consider how the            the students          the students seem    the students seem    the students seem    the students seem
students will               seem to be            to be finishing      to be finishing      to be finishing      to be finishing
efficiently transition      finishing up, they    up, they will be     up, they will be     up, they will be     up, they will be
from one to the             will be prompted      prompted to          prompted to          prompted to          prompted to
next.                       to share answers      share answers        share answers        share answers        share answers
                            with their group.     with their group.    with their group.    with their group.    with their group.
                            The teacher will      The teacher will     The teacher will     The teacher will     The teacher will
                            go over the           go over the          go over the          go over the          go over the
                            warm-up.              warm-up.             warm-up.             warm-up.             warm-up.
                         2. The teacher will 2. The teacher will 2. The teacher will 2. The teacher will 2. The teacher will
© 2019. Grand Canyon University. All Rights Reserved.                                  Page 12 of 24
                          go over               go over             go over              go over                   go over
                          homework              homework            homework             homework                  homework
                          answers,              answers,            answers,             answers,                  answers,
                          allowing students     allowing students   allowing students    allowing students         allowing students
                          to check answers      to check answers    to check answers     to check answers          to check answers
                          projected on the      projected on the    projected on the     projected on the          projected on the
                          board and ask for     board and ask for   board and ask for    board and ask for         board and ask for
                          any problems to       any problems to     any problems to      any problems to           any problems to
                          be worked out.        be worked out.      be worked out.       be worked out.            be worked out.
                       3. The teacher will 3. The teacher will 3. The teacher will 3. The teacher will        3.   The teacher will
                          work through the      work through the    work through the     work through the          work through the
                          iPad notes on         iPad notes on       iPad notes on        iPad notes on             iPad notes on
                          section 12.1.         section 12.2.       section 12.3.        section 12.4.             section 12.5.
                       4. The class will     4. After the notes,                      4. After the notes,     4.   After the lesson,
                          play a BINGO          the students will                        students will             the class will
                          style game on the     use the rest of the                      finish a                  play a game of
                          content from          class period to                          worksheet with            Tic Tac Toe for
                          lessons 10.6 and      finish a                                 two parts.                review.
                          12.1. Instructions    worksheet                                Students will fill   a.   The class will be
                          will be given at      covering the last                        in the concept            split into two
                          the beginning.        three lessons.                           information for           teams.
                       5. If there is any       The students will                        the unit in the      b.   Each side will
                          time at the end of    work as a group                          table provided.           pick a
                          the period,           to finish the first                      Each explanation          representative to
                          students will         page (which is                           should have a             come up and
                          work on               the most recent                          phrase to                 work out a
                          homework for          content). The                            represent the             problem shown
                          the remainder of      first group that                         concept as well           on the board.
                          the period.           gets these                               as the actually           Only the
                                                answers correct                          mathematical              representative
                                                will receive                             formula. The              from each team
                                                candy. After the                         second part is            and answer the
                                                groups finish the                        review problems           question.
© 2019. Grand Canyon University. All Rights Reserved.                             Page 13 of 24
                                                  first page, they                              to finish by next    c. If both reps are
                                                  will work on the                              week. Students          stumped, then
                                                  rest of the                                   will work until         each team
                                                  worksheet until                               the end of the          provides a coach
                                                  the end of class.                             period.                 to them
                                                                                                                     d. The groups will
                                                                                                                        get to fill out the
                                                                                                                        tic tac toe grid
                                                                                                                        with their
                                                                                                                        respective X or
                                                                                                                        O when they
                                                                                                                        answer a
                                                                                                                        question
                                                                                                                        correctly.
                                                                                                                     e. The winning
                                                                                                                        group will get
                                                                                                                        bragging rights.
                                                                                                                     f. All students are
                                                                                                                        expected to work
                                                                                                                        on these
                                                                                                                        questions
                                                                                                                        because they are
                                                                                                                        from the test
                                                                                                                        review.
Differentiation          -Students with         -Students with         -Students with         -Students with         -Students with
What are the             preferred seating      preferred seating      preferred seating      preferred seating      preferred seating
adaptations or           stated in and IEP or   stated in and IEP or   stated in and IEP or   stated in and IEP or   stated in and IEP or
modifications to the     504 plan are placed    504 plan are placed    504 plan are placed    504 plan are placed    504 plan are placed
instruction/activities   toward the front of    toward the front of    toward the front of    toward the front of    toward the front of
as determined by         the class.             the class.             the class.             the class.             the class.
the student factors      -Students that are     -Students that are     -Students that are     -Students that are     -Students that are
or individual            lowing performing      lowing performing      lowing performing      lowing performing      lowing performing
© 2019. Grand Canyon University. All Rights Reserved.                                   Page 14 of 24
learning needs?        are placed toward       are placed toward      are placed toward       are placed toward      are placed toward
                       the front of the        the front of the       the front of the        the front of the       the front of the
                       class.                  class.                 class.                  class.                 class.
                       -Students are           -Students are          -Students are           -Students are          -Students are
                       assigned in groups      assigned in groups     assigned in groups      assigned in groups     assigned in groups
                       of four during          of four during         of four during          of four during         of four during
                       lessons. Higher         lessons. Higher        lessons. Higher         lessons. Higher        lessons. Higher
                       performing students     performing students    performing students     performing students    performing students
                       are evenly              are evenly             are evenly              are evenly             are evenly
                       dispersed with          dispersed with         dispersed with          dispersed with         dispersed with
                       lower performing        lower performing       lower performing        lower performing       lower performing
                       students so group       students so group      students so group       students so group      students so group
                       work can be             work can be            work can be             work can be            work can be
                       productive. Student     productive. Student    productive. Student     productive. Student    productive. Student
                       personalities are       personalities are      personalities are       personalities are      personalities are
                       also accounted for      also accounted for     also accounted for      also accounted for     also accounted for
                       in this process.        in this process.       in this process.        in this process.       in this process.
                       -The iPad notes         -The iPad notes        -The iPad notes         -The iPad notes        -The iPad notes
                       have fill-in-the-       have fill-in-the-      have fill-in-the-       have fill-in-the-      have fill-in-the-
                       blank style             blank style            blank style             blank style            blank style
                       progression so          progression so         progression so          progression so         progression so
                       lower performing        lower performing       lower performing        lower performing       lower performing
                       students are able to    students are able to   students are able to    students are able to   students are able to
                       keep pace with the      keep pace with the     keep pace with the      keep pace with the     keep pace with the
                       class.                  class.                 class.                  class.                 class.
Required               iPads, stylists,        iPads, stylists,       iPads, stylists,        iPads, stylists,       iPads, stylists,
Materials,             pencil, paper,          pencil, paper,         pencil, paper,          pencil, paper,         pencil, paper,
Handouts, Text,        projector, Apple        projector, Apple       projector, Apple        projector, Apple       projector, Apple
Slides, and            TV                      TV                     TV                      TV                     TV
Technology
Instructional and      -Teacher will work      -Teacher will work     -Teacher will work      -Teacher will work     -Teacher will work
Engagement             out examples as         out examples as        out examples as         out examples as        out examples as
© 2019. Grand Canyon University. All Rights Reserved.                                    Page 15 of 24
Strategies             guided practice         guided practice         guided practice         guided practice         guided practice
What strategies are    with the concepts.      with the concepts.      with the concepts.      with the concepts.      with the concepts.
you going to use       -Students will          -Students will          -Students will          -Students will          -Students will
with your students     “Think-Pair-Share”      “Think-Pair-Share”      “Think-Pair-Share”      “Think-Pair-Share”      “Think-Pair-Share”
to keep them           on math problems        on math problems        on math problems        on math problems        on math problems
engaged throughout     following guided        following guided        following guided        following guided        following guided
the unit of study?     practice from the       practice from the       practice from the       practice from the       practice from the
                       instructor.             instructor.             instructor.             instructor.             instructor.
                       Prompted by the         Prompted by the         Prompted by the         Prompted by the         Prompted by the
                       teacher, students       teacher, students       teacher, students       teacher, students       teacher, students
                       will work on one        will work on one        will work on one        will work on one        will work on one
                       problem                 problem                 problem                 problem                 problem
                       individually, then      individually, then      individually, then      individually, then      individually, then
                       share their work        share their work        share their work        share their work        share their work
                       with a table group.     with a table group.     with a table group.     with a table group.     with a table group.
                       -Students will have     -Students will have     -Students will have     -Students will have     -Students will have
                       independent             independent             independent             independent             independent
                       practice at the end     practice at the end     practice at the end     practice at the end     practice at the end
                       of the lesson on        of the lesson on        of the lesson on        of the lesson on        of the lesson on
                       their homework if       their homework if       their homework if       their homework if       their homework if
                       time allows.            time allows.            time allows.            time allows.            time allows.
Formative              During individual,      During individual,      During individual,      During individual,      During individual,
Assessments            partner, and group      partner, and group      partner, and group      partner, and group      partner, and group
How are you going      practice, the teacher   practice, the teacher   practice, the teacher   practice, the teacher   practice, the teacher
to measure the         will ask students       will ask students       will ask students       will ask students       will ask students
learning of your       about how they feel     about how they feel     about how they feel     about how they feel     about how they feel
students throughout    about the previous      about the previous      about the previous      about the previous      about the previous
the lesson?            example and             example and             example and             example and             example and
                       concept. This is        concept. This is        concept. This is        concept. This is        concept. This is
                       prompted before         prompted before         prompted before         prompted before         prompted before
                       moving on to a new      moving on to a new      moving on to a new      moving on to a new      moving on to a new
                       concept.                concept.                concept.                concept.                concept.
© 2019. Grand Canyon University. All Rights Reserved.                                   Page 16 of 24
                       Students will hold      Students will hold     Students will hold     Students will hold     Students will hold
                       up a face card:         up a face card:        up a face card:        up a face card:        up a face card:
                       -happy face means       -happy face means      -happy face means      -happy face means      -happy face means
                       they understand or      they understand or     they understand or     they understand or     they understand or
                       they got the answer     they got the answer    they got the answer    they got the answer    they got the answer
                       correct                 correct                correct                correct                correct
                       -straight face means    -straight face means   -straight face means   -straight face means   -straight face means
                       they somewhat           they somewhat          they somewhat          they somewhat          they somewhat
                       understand or they      understand or they     understand or they     understand or they     understand or they
                       for the answer          for the answer         for the answer         for the answer         for the answer
                       incorrect but they      incorrect but they     incorrect but they     incorrect but they     incorrect but they
                       understand their        understand their       understand their       understand their       understand their
                       mistake                 mistake                mistake                mistake                mistake
                       -sad face means         -sad face means        -sad face means        -sad face means        -sad face means
                       they do not             they do not            they do not            they do not            they do not
                       understand or they      understand or they     understand or they     understand or they     understand or they
                       got the problem         got the problem        got the problem        got the problem        got the problem
                       wrong and don’t         wrong and don’t        wrong and don’t        wrong and don’t        wrong and don’t
                       understand their        understand their       understand their       understand their       understand their
                       mistake                 mistake                mistake                mistake                mistake
                       If there are a          If there are a         If there are a         If there are a         If there are a
                       considerable            considerable           considerable           considerable           considerable
                       amount of straight      amount of straight     amount of straight     amount of straight     amount of straight
                       or sad faces            or sad faces           or sad faces           or sad faces           or sad faces
                       (determined at the      (determined at the     (determined at the     (determined at the     (determined at the
                       time by the             time by the            time by the            time by the            time by the
                       teacher), then the      teacher), then the     teacher), then the     teacher), then the     teacher), then the
                       teacher will choose     teacher will choose    teacher will choose    teacher will choose    teacher will choose
                       whether or not to       whether or not to      whether or not to      whether or not to      whether or not to
                       review or move on.      review or move on.     review or move on.     review or move on.     review or move on.
                       During the next         During the next        During the next        During the next        During the next
                       individual practice,    individual practice,   individual practice,   individual practice,   individual practice,
                       the teacher will        the teacher will       the teacher will       the teacher will       the teacher will
© 2019. Grand Canyon University. All Rights Reserved.                                 Page 17 of 24
                       ensure that they        ensure that they        ensure that they        ensure that they        ensure that they
                       observe or speak        observe or speak        observe or speak        observe or speak        observe or speak
                       with students that      with students that      with students that      with students that      with students that
                       raised a straight or    raised a straight or    raised a straight or    raised a straight or    raised a straight or
                       sad face.               sad face.               sad face.               sad face.               sad face.
                       Additionally,           Additionally,           Additionally,           Additionally,           Additionally,
                       students may be         students may be         students may be         students may be         students may be
                       asked to zoom in on     asked to zoom in on     asked to zoom in on     asked to zoom in on     asked to zoom in on
                       their answers for       their answers for       their answers for       their answers for       their answers for
                       any given problem       any given problem       any given problem       any given problem       any given problem
                       and raise their iPads   and raise their iPads   and raise their iPads   and raise their iPads   and raise their iPads
                       to the teacher. The     to the teacher. The     to the teacher. The     to the teacher. The     to the teacher. The
                       teacher may review      teacher may review      teacher may review      teacher may review      teacher may review
                       the concept on the      the concept on the      the concept on the      the concept on the      the concept on the
                       board if there are a    board if there are a    board if there are a    board if there are a    board if there are a
                       large amount of         large amount of         large amount of         large amount of         large amount of
                       incorrect answers.      incorrect answers.      incorrect answers.      incorrect answers.      incorrect answers.
                       During the next         During the next         During the next         During the next         During the next
                       individual practice,    individual practice,    individual practice,    individual practice,    individual practice,
                       the teacher will        the teacher will        the teacher will        the teacher will        the teacher will
                       ensure that they        ensure that they        ensure that they        ensure that they        ensure that they
                       observe or speak        observe or speak        observe or speak        observe or speak        observe or speak
                       with students that      with students that      with students that      with students that      with students that
                       showed an incorrect     showed an incorrect     showed an incorrect     showed an incorrect     showed an incorrect
                       answer.                 answer.                 answer.                 answer.                 answer.
Summative, Post-       -There will be a homework assignment from the textbook for this lesson. The answers will reviewed the next
Assessment             day, and students will be able to ask for clarification on problems. The teacher will go over any problems on
What post-             the board as a class. There will be a group quiz (groups of four), and a formal exam at the end of the unit.
assessment will
measure the
learning progress?
Note: This can be
© 2019. Grand Canyon University. All Rights Reserved.                                   Page 18 of 24
the same as the pre-
assessment or a
modified version of
it.
© 2019. Grand Canyon University. All Rights Reserved.   Page 19 of 24
STEP Standard 5 - Implementation of Instructional Unit
Implement the unit you have designed. You have already implemented and analyzed the pre-
assessment. In this topic, you will implement all lesson activities, correlating formative
assessments and the summative post-assessment. Choose one of the lesson activities to video
record a 5-10 minute segment, review, and reflect on your teaching. Have your cooperating
teacher/mentor review the recording and provide feedback, if possible.
Video Recording Link:
https://mygcuedu6961-
my.sharepoint.com/:v:/g/personal/slogan3_my_gcu_edu/EeIuR8S8rbBPqpkSvb3qWBgBnKNL37NYeyO
9CCa-mFSGVQ?e=3zMNps https://mygcuedu6961-
my.sharepoint.com/:v:/g/personal/slogan3_my_gcu_edu/Ed9fvIcnC_ZJhQQmYUsRMjEBgAvn-
Cwa4RxXd2ZwsbmUuA?e=9siVXV
Summary of Unit Implementation:
          I attempted to bring some more fun into the lessons for this unit compared to my last unit. I
guidance from my CT for this, but I created a BINGO style game to review for the first two lessons in the
unit. This was more basic circle information, so the problems were easier for them to do. I ran out of time
in the first lesson, so but we still had several people get BINGO. I only had the first three students receive
candy because there were quite a few getting it. I also learned that I needed to keep them on task for this,
so I had the whole class shout out the answer after the right amount of time to complete it. I did not need
to work out all the problems unless they were particularly difficult. The formative assessment was their
papers at the end with the work shown.
          I also played a Tic-Tac-Toe game with the students. In this game, I had nine random questions of
review (slightly more difficult) and a difficult tiebreaker problem. The class was split in half down the
middle and the first group that got the first one correct picks X or O. Representatives from the groups
would come up and work on the problem, and the first one showing work and correct won the round. The
students were very competitive with this and had a great time. The formative assessment was the work
shown on their iPads and papers at the end.
          The other lesson activities were worksheets that were semi-competitions. Each worksheet is
based on more than one lesson. The first page was the most recent lesson, so I had them work in groups to
finish it correctly. The first group that finished correctly and showed their work won candy. After that,
they just finished the worksheet. I have found great success with this style of worksheet. If I allow them
to just work on it until the end of class, they are bound to mentally check out.
          Much of the engagement strategies I used for these lessons were based on the students
themselves. I value the tutoring ability of many students in the class, so I try to get them to share and
coach other students as often as possible—whether prompted or not. This empowers students and creates
a peer-to-peer learning environment. I used pairing/sharing and group activities and strategies for students
that typically block out what teachers say. Sometimes it needs to come from a peer. I felt that these
strategies helped students meet the goals for the unit.
© 2019. Grand Canyon University. All Rights Reserved.                                          Page 20 of 24
Summary of Student Learning:
         My students seemed to catch on very well to the circle unit. Some of the information was review,
but the progression of the new information was smooth. The final test average came back at 87%, so it
seems like it was successful. This is in line with the average for previous years for my CT’s students. One
important thing we did not do this time is allowing formulas on the quiz and test. The students were
forced to study the relationships with the various parts of circles. Apparently, this worked well. There was
one important worksheet that had a table to organize all of this information, so I think that was successful.
         The test average came back at 87%, which is very good. In general, students seemed to
comprehend the content. There are outliers, but there were only a handful in each class.
         Section 12.4 was the most difficult of the entire unit, because it contained the largest number of
theorems. This was also the lesson that we did the worksheet with the table afterwards. In the table, the
students were instructed to write the formula for the theorem, and then write what it means in English.
Initially, I had the students come up with their own reasoning for their written explanations. I saw many
students in this first class have a difficult time coming up with their own explanation, and it was
stretching my attention to all of their needs. I stopped the worksheet activity and had the whole class write
down phrases that I created that were easy to memorize. I adjusted this from the first class to the rest of
the classes. I provided the short, simple phrases for them that were easy to memorize during the notes. I
had them write this down on their table later. This went much better for them.
Reflection of Video Recording:
          I am still learning to use the iPad with the class. I have become more comfortable with the
content, so I walk around the room with the iPad while talking and filling out the notes with them. This
allows me to help keep them on task by changing my positioning. Specifically, with the videos provided,
I need to look up more from the iPad while teaching. The content I am filling out is usually very lengthy
with words, which does not help the situation.
          I still need to work on my public speaking skills. I intend on taking a class at my church regarding
this. I hear it is very fun and beneficial. I am also wrestling with the idea of subbing for a year before
trying to nail down a full-time position at a school. I need to learn better how to change things on the fly
and come in to any situation. Having my credential and the connections with math teachers, I feel like I
can sub regularly in math classes. I am hoping to be able to teach the content rather than supervise
students while they just do a worksheet.
© 2019. Grand Canyon University. All Rights Reserved.                                          Page 21 of 24
STEP Standard 6 - Analysis of Student Learning
Post-Test Data: Whole Class - Once you have assessed your students’ learning on the topic, collect and
analyze the post-test data to determine the effectiveness of your instruction and assessment.
                              Number of Students                         Number of Students
                                  Pre-Test                                  Post-Test
Highly Proficient
(90%-100%)                              4                                         46
Proficient
(80%-89%)                              12                                         71
Partially
Proficient
                                       17                                         14
(70%-79%)
Minimally
Proficient
                                       97                                          3
(69% and below)
Post-Test Analysis: Whole Class
I was very pleased with the results of the post-test. The test average was 87%, which is in line
with the previous years. Many of the errors on the tests were careless mistakes that affected the
final answer. However, students that made these careless errors still showed in their work that
they have a clear understanding of the concepts.
While grading the tests, I noticed students wrote the selected phrases I had them memorize on the
tops of their tests. I was very pleased to see this. I was adamant about them learning these phrases
for the test, and they took the advice and did well on the test with it.
Post-Assessment Analysis: Subgroup Selection
There is a small population of 504s in the class, so I wanted to track their information separate
from the large group and see their progress. I chose this group over the students with IEPs
because those two students tend to do quite well in the class. They will probably not need an IEP
for the remainder of their high school career.
Post-Assessment Data: Subgroup (Gender, ELL population, Gifted, students on IEPs or 504s, etc.)
                              Number of Students                         Number of Students
                                  Pre-Test                                  Post-Test
Highly Proficient
(90%-100%)                              0                                          1
© 2019. Grand Canyon University. All Rights Reserved.                                    Page 22 of 24
Proficient
(80%-89%)                               2                                      5
Partially
Proficient
                                        2                                      2
(70%-79%)
Minimally
Proficient
                                        4                                      1
(69% and below)
Post-Assessment Analysis: Subgroup
Several of the students did very well on the post-test compared to the pre-test. Three students
mastered the difficult concepts and went from Minimally Proficient to Proficient when comparing
the pre-test to the post-test.
Several of my 504 students were the ones that wrote the concept phrases on the top of their test so
they will remember it further on the test. I was very happy to see this specific part of my
instruction have a lasting effect. The students that remembered to write this down ended up doing
well on those problems.
Post-Assessment Data: Remainder of Class
                             Number of Students                      Number of Students
                                 Pre-Test                               Post-Test
Highly Proficient
(90%-100%)                              4                                     45
Proficient
(80%-89%)                              10                                     65
Partially
Proficient
                                       15                                     12
(70%-79%)
Minimally
Proficient
                                       93                                      2
(69% and below)
Post-Assessment Analysis: Subgroup and Remainder of Class
© 2019. Grand Canyon University. All Rights Reserved.                                Page 23 of 24
The reminder of the class had extraordinary improvement in line with the subgroup that I
analyzed. The overwhelming majority of students in the subgroup and remainder scored 70% or
higher in the post-test with an average test score of 87% for the remainder and 82% for the
subgroup.
This chapter on circles is directly related to the next steps for my students in trigonometry next
year. They will build upon this when dealing with true north, vectors, the unit circle, and trig
functions. A fair objective for the students will be for them to become comfortable with negative
degrees and using positive and negative degrees as a way to show direction around a circle.
STEP Standard 7 – Reflecting on Instruction to Improve Student
Progress
Improved Practice Based on the Unit of Study
Based on the experience of developing and delivering your instructional unit, list three short-
term goals to improve specific areas of your teaching practice based on the unit of instruction
and describe your plan to reach each short-term goal.
                                                   Plan to Reach the Goal (i.e., professional
              Short-Term Goal                      development, research on the Internet,
                                                   observation of a veteran teacher, etc.)
   1. Increase the accuracy in lesson plan              Use a timer while working through
      timing.                                              lesson in prep
                                                        Write notes in margin with suggested
                                                           times to leave for content in lesson
   2. Increase understanding of content to                 Work through notes several more
      the point of recitation                               times before first implementation
                                                           Speak aloud while practicing lessons
                                                            before implementation
   3. Find more options for activities for                 Consult veteran teachers about
      several units for Algebra and                         successful activities they have used
      Geometry                                             Research online for successful
                                                            activities and manipulatives
© 2019. Grand Canyon University. All Rights Reserved.                                  Page 24 of 24