SELECT MATH GEOMETRY

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SELECT MATH (GEOMETRY)

• BY
• Jean Etienne
• Linda Parker

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Percents, Proportions, Ratios

• STANDARDS
• Instructional programs should enable all students
  to
• Use ratios and proportions in the solution of
  problems,
• including problems involving similar plane
  figures and
• indirect measurement.
• Create and use representations to organize,
• record, and communicate mathematical ideas.
• Use visualization, spatial reasoning, and
• geometric to solve problems.
• Understand how mathematical ideas interconnect
• and build on one another to produce a
  coherent whole.

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SETUP MATERIALS
This lesson will take place in a computer lab at
High Park High School for tenth grade
Algebra/geometry students. Each student will
have access to a computer, the Virtual
Manipulatives websites, the Explore Learning
websites, gizmos, and other online
resources. Other materials include an LCD
projector, worksheet for assessment, pen, pencils
and rulers.
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LESSON OBJECTIVES
At the end of this class, all students will be
able to 1. Compute the percent of a part from a
whole quantity. 2. Use properties of
proportions. 3. Indicate and prove the
similarity of two figures. 4. Solve problems
involving percents of change or ratios.
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PERCENTAGES
Percentages are a way of expressing a fraction, a
part of a whole, as an appropriate portion of
100. The relation is written out as the
equation With this virtual
manipulative you may specify any two of the three
quantities, Part, Whole, or Percent. When
you click the Compute button, the computer will
calculate the remaining quantity for you.
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Virtual Manipulatives (s1)
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Virtual Manipulatives (s2)
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Virtual Manipulatives (s3)
Now, go online to explore and enter this web
address below
http//matti.usu.edu/nlvm/nav/frames_asid_160_g_3_
t_1.html?openactivities
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Virtual Manipulatives (s4)
Find the answers to these problems

• 1. 17 is what percent of 85?
• What is the sale price of a 75 dress, if there
• Is a 30 reduction?
• If a score of 48 on a test was 75, what total
  was possible?
• 45 is 30 of what number?

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Proportions Gizmo (s1)
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Proportions Gizmo (s2)
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Proportions Gizmo (s3)
Now, go the explorelearning website below for
exploration and assessment
http//www.explorelearning.com/index.cfm?methodcR
esource.dspViewResourceID268CFID1254348CFTOKE
N98138141
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Proportions Gizmo (s4)
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Percents Proportions Gizmo (s1)
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Percents Proportions Gizmo (s2)
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Percents Proportions Gizmo (s3)
Now, go to the ExploreLearning website and
explore with different values.
http//www.explorelearning.com/index.cfm?methodcR
esource.dspViewResourceID266CFID1254348CFTOKE
N98138141
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Percents Proportions Gizmo (s4)
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Linking to similarity ratio (s1)
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Linking to similarity ratio (s2)
Now, go to the explorelearning website and
explore with different modules
http//www.explorelearning.com/index.cfm?methodcR
esource.dspViewResourceID195CFID1254348CFTOKE
N98138141
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Linking to similarity ratio (s3)
Learning Assessment
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Learning Assessment

• Percentages
• Proportions
• Similarity ratios
• 4. Percents of changes

Complete the assessment worksheet (Word Doc.
handout)