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SECTION 6.1 - PROPORTIONS
• How can I write a ratio?
• How can I use the properties of proportions to solve
  problems?
RATIO
RATIOS
• Should be written in simplest form


• 4 to 2, or 4:2 must be reduced to 2:1


• Is 3:18 in simplest form?


• Can compare 3 numbers
  • 3 sides of a triangle a:b:c
EXAMPLES
PROPORTIONS
• Proportion – An equation stating that two proportions are
  equal



              4     8
              2     4
PROPORTIONS
• How do you prove two ratios equal a proportion?
• Cross – Products!


• Do the following ratios form a proportion?
           4 24
            ,
           5 30
PROPORTIONS
• Do the following ratios form a proportion?

           0 .4 0 .7
• Check        ,
           0 .8 1 .4

            6 24
• Check      ,
            8 28
PROPORTIONS
What if one of the numbers is missing?
EXAMPLES
HOMEWORK
• Get a poster board for next week
• Bring rulers
• Page 285
  #12 – 24
  #28 – 34 (even)
LESSON PLAN
Intro- Not all triangles are congruent. We are going to add
   similarity, which is a lower level of comparison.
Standards- 5.1
Supplies – slides, whiteboard, handouts
 Essential Questions- slide 2
 Input-slides 3, 4, 6
 Guided Practice – slides 5, 7, 8, 9, and 10
 Independent Practice – slide 11
Assessment: Quiz and Chapter Test

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Geometry/Notes 6.1

  • 1.
  • 2. SECTION 6.1 - PROPORTIONS • How can I write a ratio? • How can I use the properties of proportions to solve problems?
  • 4. RATIOS • Should be written in simplest form • 4 to 2, or 4:2 must be reduced to 2:1 • Is 3:18 in simplest form? • Can compare 3 numbers • 3 sides of a triangle a:b:c
  • 6. PROPORTIONS • Proportion – An equation stating that two proportions are equal 4 8 2 4
  • 7. PROPORTIONS • How do you prove two ratios equal a proportion? • Cross – Products! • Do the following ratios form a proportion? 4 24 , 5 30
  • 8. PROPORTIONS • Do the following ratios form a proportion? 0 .4 0 .7 • Check , 0 .8 1 .4 6 24 • Check , 8 28
  • 9. PROPORTIONS What if one of the numbers is missing?
  • 11. HOMEWORK • Get a poster board for next week • Bring rulers • Page 285 #12 – 24 #28 – 34 (even)
  • 12. LESSON PLAN Intro- Not all triangles are congruent. We are going to add similarity, which is a lower level of comparison. Standards- 5.1 Supplies – slides, whiteboard, handouts  Essential Questions- slide 2  Input-slides 3, 4, 6  Guided Practice – slides 5, 7, 8, 9, and 10  Independent Practice – slide 11 Assessment: Quiz and Chapter Test