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Sue and Julie were running equally fast around
 a track. Sue started first. When Sue had run
 nine laps, Julie had run three laps. When Julie
 had completed 15 laps, how many laps had
 Sue run?
Which has a higher density, one kilogram of
 iron or two kilograms of iron?
Bart is a publicity painter. In the last few days, he had to paint
Christmas decorations on several store windows. Yesterday, he
made a drawing of a 56 cm high Father Christmas on the door
of the bakery. He needed 6 ml of paint. Now he is asked to
make an enlarged version of the same drawing on a
supermarket window. This copy should be 168 cm high.
Approximately how much paint will Bart need to do this?
   The Science Club has four separate
    rectangular plots for experiments with plants:
   1 foot by 4 feet         7 feet by 10 feet
   17 feet by 20 feet       27 feet by 30 feet

   Which rectangle is most square?
   A. 1 ft by 4 ft          B. 7 ft by 10 ft
   C. 17 ft by 20 ft        D. 27 ft by 30 ft
Choose which statement is true and explain
  why:
 a) Two whole 1-cm3 sugar cubes will dissolve
  more easily in water than two crushed 1-cm3
  sugar cubes in water.
 b) Two crushed 1-cm3 sugar cubes will
  dissolve more easily in water than two whole
  1-cm3 sugar cubes in water.
 c) Two whole 1-cm3 sugar cubes will dissolve
  in water just as easily as two crushed 1-cm3
  sugar cubes in water.
   Inappropriate Uses of Proportional Reasoning
   Additive vs Multiplicative Reasoning
   Consider some of the instructional decisions I
    made in structuring tonight’s class
   WHY?
   How do these instructional decisions translate
    to instruction of middle school science and
    mathematics students?

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6 tasks Chauvot

  • 1. Sue and Julie were running equally fast around a track. Sue started first. When Sue had run nine laps, Julie had run three laps. When Julie had completed 15 laps, how many laps had Sue run?
  • 2. Which has a higher density, one kilogram of iron or two kilograms of iron?
  • 3. Bart is a publicity painter. In the last few days, he had to paint Christmas decorations on several store windows. Yesterday, he made a drawing of a 56 cm high Father Christmas on the door of the bakery. He needed 6 ml of paint. Now he is asked to make an enlarged version of the same drawing on a supermarket window. This copy should be 168 cm high. Approximately how much paint will Bart need to do this?
  • 4.
  • 5. The Science Club has four separate rectangular plots for experiments with plants:  1 foot by 4 feet 7 feet by 10 feet  17 feet by 20 feet 27 feet by 30 feet   Which rectangle is most square?  A. 1 ft by 4 ft B. 7 ft by 10 ft  C. 17 ft by 20 ft D. 27 ft by 30 ft
  • 6. Choose which statement is true and explain why:  a) Two whole 1-cm3 sugar cubes will dissolve more easily in water than two crushed 1-cm3 sugar cubes in water.  b) Two crushed 1-cm3 sugar cubes will dissolve more easily in water than two whole 1-cm3 sugar cubes in water.  c) Two whole 1-cm3 sugar cubes will dissolve in water just as easily as two crushed 1-cm3 sugar cubes in water.
  • 7. Inappropriate Uses of Proportional Reasoning  Additive vs Multiplicative Reasoning
  • 8. Consider some of the instructional decisions I made in structuring tonight’s class  WHY?  How do these instructional decisions translate to instruction of middle school science and mathematics students?