Chapter 1 TASK/ASSIGNMENT
Name:
8
Date:
Darren has to cut down a large tree that has become diseased. To do this safely, he must determine the
height of the tree and figure out where the top of the tree will land when it falls.
Darren marked a horizontal cut line on the tree 50 cm above the ground. Then, he cut a stick and held it
vertically at arm’s length in front of him. He moved away from the tree until he could sight the top of the
tree over the top of the stick and the cut line at the bottom of the stick. Darren’s reach is 0.8 m, the stick is
0.7 m long and he stood 30 m from the base of the tree.
a) Label the diagram with the correct measurements. (2 marks)
b) Find the height of the tree. Round your answer to the nearest unit (whole number). (4 marks)
c) How far from the trunk will the tree land? (2 marks)
Chapter 1 Problem Wrap-Up Rubric
Knowledge/Skills
Level 1
Level 2
Level 3
Level 4
Knowledge/
Understanding
 Demonstrates
understanding of similar
triangles
Demonstrates limited
understanding of similar
triangles
Demonstrates some
understanding of similar
triangles
Demonstrates
considerable
understanding of similar
triangles
Demonstrates thorough
understanding similar
triangles
Chooses ineffective
strategy to solve the
problem
Chooses somewhat
effective strategy to solve
the problem
Chooses an effective
strategy to solve the
problem
Chooses highly effective
strategy to solve the
problem
Carries out the plan in a
limited manner
Carries out the plan in a
somewhat effective manner
Carries out the plan in a an
effective manner
Carries out the plan highly
effective manner
Solution is disorganized
Solution is somewhat
organized
Solution is well organized
Solution is highly
organized
Omits most or all labels
and data on their
diagrams
Omits some labels and
data on their diagrams
Labels the diagram and
shows the data on their
diagrams in an effectively
manner
Labels the diagram and
shows the data ion their
diagrams in a highly
effectively manner
Omits mathematical terms
and or uses them
inappropriately
Uses mathematical terms
and symbols somewhat
effectively
Uses mathematical terms
and symbols effectively
Uses mathematical terms
and symbols in a highly
effective manner
Draws limited or
inappropriate conclusions
Draws some appropriate
conclusions
Draws appropriate
conclusions
Draws appropriate
conclusions and shows
further insight into the
problem
Interprets the information
ineffectively (chooses the
wrong two triangles,
places data on the
diagrams incorrectly)
Interprets the information
somewhat effectively
(chooses the wrong two
triangles, but places data
correctly on them, or
chooses the correct
triangles and misplaces
the data)
Interprets the information
with considerable
effectiveness (chooses the
correct triangles, and
transfers the data
correctly)
Interprets the information
with a high degree of
effectiveness (chooses the
correct triangles, and
transfers the data
correctly, shows a high
degree of insight into the
problem)
Neglects to change the
units or does so with
limited accuracy
Changes the units
with some accuracy
Changes the units with
considerable accuracy
Changes the units with a
high degree of accuracy
Thinking
 Prepares a plan to solve
the problem
 Carries out the plan
 Formulates a logical
solution
Communication
 Labels diagrams
 Uses mathematical
terms and symbols
 Use clear explanations
and justifications
Application
 Interprets the
information effectively
 Changes units
accurately
Comments:
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