w. nicholls (bcla) may 4th 2005 mcas prep. lesson plan for 10 grade geometry geometric measurements...

W. Nicholls (BCLA) May 4th 2005W. Nicholls (BCLA) May 4th 2005

MCAS Prep. Lesson Plan for 10 Grade MCAS Prep. Lesson Plan for 10 Grade GeometryGeometry

Geometric MeasurementsGeometric Measurements

Problem StatementProblem StatementThe latest MCAS practice test results showed The latest MCAS practice test results showed

that BCLA 10th grade students did poorly on that BCLA 10th grade students did poorly on thethe

SA and OR questions and showed largeSA and OR questions and showed large

knowledge gaps in geometry and measurement. knowledge gaps in geometry and measurement.




Proposed SolutionProposed SolutionWith less than 2 weeks (see schedule next With less than 2 weeks (see schedule next page) left to prepare page) left to prepare

students to strengthen these areas of students to strengthen these areas of weakness, I proposedweakness, I proposed

utilizing the Select Math interactive utilizing the Select Math interactive website as a diffrentiatedwebsite as a diffrentiated

approach to helping students understand and approach to helping students understand and manipulatemanipulate

geometric measurements. geometric measurements.




Standard: Measurement 10.M.1; 10.M.2, 10.M.3Standard: Measurement 10.M.1; 10.M.2, 10.M.3

Objective: Objective: To help 10 grade students at BCLA improve To help 10 grade students at BCLA improve performance on MCAS measurement problems performance on MCAS measurement problems

To help students understand, use and To help students understand, use and manipulate measurement formulas found on the manipulate measurement formulas found on the 10 grade MCAS Mathematics reference sheet 10 grade MCAS Mathematics reference sheet (next slide).(next slide).




To get to the select math web site, follow To get to the select math web site, follow thesethese

steps:steps:

http://http://bostonboston.k12.ma.us.k12.ma.us Select O.I.TSelect O.I.T Select MathSelect Math Geometry AlignmentsGeometry Alignments

http://boston.k12.ma.us/






Sample Lesson/ActivitySample Lesson/ActivityOnce in select math geometry alignments area, scroll Once in select math geometry alignments area, scroll

downdown

to chapter 13, and click on ‘volume’.to chapter 13, and click on ‘volume’.

Select 13.1 ‘Volume as a function of height and base Select 13.1 ‘Volume as a function of height and base area’.area’.

The next few pages are screen shots of various The next few pages are screen shots of various problemsproblems

found in this section. found in this section.




Start with having students guess how high the liquid will go in the empty container.




We see here the students first guess was off. This could be tried a few times in the guessing mode




Click on new problem to get a new problem. This time guide student to the correct formula from the MCAS reference sheet.


In this case we are trying to find the volume of a rectangular prism V=lwh. Therefore, container 1 has 3*3*6=54. We do not know the ‘h’ of the empty container so V=2*4*h=54 or 8h=54. Solve for h=54/8=6.75. Now have students move pointer as close to 6.75 as possible on the empty container and click on pour.






Wow, see what knowing how to use the formula can do. Students normally get rather excited around this time.



Geometric MeasurementsGeometric Measurements This can be tried a few times using the various type of This can be tried a few times using the various type of

shapes problems, see lower left of the screen shot.shapes problems, see lower left of the screen shot.


Again help students identify the right formula, by asking some guiding Again help students identify the right formula, by asking some guiding questions:questions:

What geometric are we trying to find?What geometric are we trying to find? What is the shape of the object?What is the shape of the object?

Which formula do we use for this one?Which formula do we use for this one?






Using the right circular cylinder formula of V=pi r^2hUsing the right circular cylinder formula of V=pi r^2h For the filled cylinder we get:For the filled cylinder we get: V=3.14*4*3=37.68V=3.14*4*3=37.68 For the empty cylinder we get:For the empty cylinder we get: V=3.14*9*h or 28.6h=37.68V=3.14*9*h or 28.6h=37.68 Solve for h=37.68/28.6=1.33Solve for h=37.68/28.6=1.33 Have students move pointer as close as possible to 1.33 Have students move pointer as close as possible to 1.33 Click on pourClick on pour




Voila!!!!




Technology RequirementsTechnology RequirementsTo utilize the selected math and other interactive on line To utilize the selected math and other interactive on line

resources teachers will need the following:resources teachers will need the following:

For whole class instruction:For whole class instruction: In-focus machine or smart boardIn-focus machine or smart board A laptop or other portable computerA laptop or other portable computer Access to the internet Access to the internet

For one on one remedial type instructionFor one on one remedial type instruction

Access to a computer lab/learning center with internet access.Access to a computer lab/learning center with internet access.

Additional TrainingAdditional Training

For additional training on these interactive resources contact the select For additional training on these interactive resources contact the select mathmath

training coordinator Saiaja Suresh via e-mail at: [email protected] training coordinator Saiaja Suresh via e-mail at: [email protected]



Geometric MeasurementsGeometric Measurements““You become successful by helping other people You become successful by helping other people

(students) become successful” - unknown(students) become successful” - unknown

The EndThe End

w. nicholls (bcla) may 4th 2005 mcas prep. lesson plan for 10 grade geometry geometric measurements...

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