MCAS Prep. Lesson Plan for 10 Grade Geometry Geometric Measurements

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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements

• Problem Statement
• The latest MCAS practice test results showed
• that BCLA 10th grade students did poorly on the
• SA and OR questions and showed large
• knowledge gaps in geometry and measurement.

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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements
Proposed Solution With less than 2 weeks (see
schedule next page) left to prepare students to
strengthen these areas of weakness, I
proposed utilizing the Select Math interactive
website as a diffrentiated approach to helping
students understand and manipulate geometric
measurements.
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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements

• Standard Measurement 10.M.1 10.M.2, 10.M.3
• Objective
• To help 10 grade students at BCLA improve
  performance on MCAS measurement problems
• To help students understand, use and manipulate
  measurement formulas found on the 10 grade MCAS
  Mathematics reference sheet (next slide).

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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements

• To get to the select math web site, follow these
• steps
• http//boston.k12.ma.us
• Select O.I.T
• Select Math
• Geometry Alignments

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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements

• Sample Lesson/Activity
• Once in select math geometry alignments area,
  scroll down
• to chapter 13, and click on volume.
• Select 13.1 Volume as a function of height and
  base area.
• The next few pages are screen shots of various
  problems
• found in this section.

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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements
Start with having students guess how high the
liquid will go in the empty container.
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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements
We see here the students first guess was off.
This could be tried a few times in the guessing
mode
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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements
Click on new problem to get a new problem. This
time guide student to the correct formula from
the MCAS reference sheet.
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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements
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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements
In this case we are trying to find the volume of
a rectangular prism Vlwh. Therefore, container 1
has 33654. We do not know the h of the empty
container so V24h54 or 8h54. Solve for
h54/86.75. Now have students move pointer as
close to 6.75 as possible on the empty container
and click on pour.
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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements
Wow, see what knowing how to use the formula can
do. Students normally get rather excited around
this time.
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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements

• This can be tried a few times using the various
  type of shapes problems, see lower left of the
  screen shot.

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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements

• Again help students identify the right formula,
  by asking some guiding questions
• What geometric are we trying to find?
• What is the shape of the object?
• Which formula do we use for this one?

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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements

• Using the right circular cylinder formula of Vpi
  r2h
• For the filled cylinder we get
• V3.144337.68
• For the empty cylinder we get
• V3.149h or 28.6h37.68
• Solve for h37.68/28.61.33
• Have students move pointer as close as possible
  to 1.33
• Click on pour

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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements
Voila!!!!
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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements

• Technology Requirements
• To utilize the selected math and other
  interactive on line
• resources teachers will need the following
• For whole class instruction
• In-focus machine or smart board
• A laptop or other portable computer
• Access to the internet
• For one on one remedial type instruction
• Access to a computer lab/learning center with
  internet access.
• Additional Training
• For additional training on these interactive
  resources contact the select math
• training coordinator Saiaja Suresh via e-mail at
  ssuresh_at_boston.k12.ma.us

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MCAS Prep. Lesson Plan for 10 Grade Geometry
Geometric Measurements

• You become successful by helping other people
  (students) become successful - unknown
• The End