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breaks-even\'94
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{a) What is the height of the helicopter above the water? Explain how you know. \par
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{b) When does the raft reach the water?\par
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{y}\plain \f0
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{ \'96
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{ + 15). Do you agree or disagree? Justify your opinion.\sect
\par
}\sectd\sbkpage
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{\par
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{OBJ:\tab }\plain \f0
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{Determine, through investigation with and without the use of technology, that a
quadratic relation of the form y = ax^2 + bx + c (a not equal to 0) can be graphi
cally represented as a parabola, and that the table of values yields a constant d
ifference.\tab }\plain \f0
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{TOP:\tab }\plain \f0
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{Knowledge and Understanding\par
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{KEY:\tab }\plain \f0
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{degree}\plain \f0
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{Grade 10 Academic\tab }\plain \f0
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{3.2 Properties of Graphs of Quadratic Relations\tab }\plain \f0
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{\par
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{OBJ:\tab }\plain \f0
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{Identify the key features of a graph of a parabola (i.e., the equation of the ax
is of symmetry, the coordinates of the vertex, the y-intercept, the zeros, and th
e maximum or minimum value), and use the appropriate terminology to describe them
. | Sketch or graph a quadratic relation whose equation is given in the form y =
ax^2 + bx + c, using a variety of methods. | Determine the zeros and the maximum
or minimum value of a quadratic relation from its graph (i.e., using graphing cal
culators or graphing software) [or from its defining equation (i.e., by applying
algebraic techniques)].\tab }\plain \f0
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{TOP:\tab }\plain \f0
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{Knowledge and Understanding\par
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{KEY:\tab }\plain \f0
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{\tab }\plain \f0
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{Grade 10 Academic\tab }\plain \f0
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{OBJ:\tab }\plain \f0
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{Identify the key features of a graph of a parabola (i.e., the equation of the ax
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e maximum or minimum value), and use the appropriate terminology to describe them
. \tab }\plain \f0
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{\tab }\plain \f0
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{\par
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is of symmetry, the coordinates of the vertex, the y-intercept, the zeros, and th
e maximum or minimum value), and use the appropriate terminology to describe them
. | Determine the zeros and the maximum or minimum value of a quadratic relation
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{KEY:\tab }\plain \f0
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{REF:\tab }\plain \f0
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{\par
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{OBJ:\tab }\plain \f0
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{Compare, through investigation using technology, the features of the graph y = x
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}\plain \f0
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{\par
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{OBJ:\tab }\plain \f0
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{Explain the roles of a, [h, and k] in y = a(x \'96
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}\plain \f0
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{OBJ:\tab }\plain \f0
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{Explain the roles of a, [h, and k] in y = a(x \'96
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}\plain \f0
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{OBJ:\tab }\plain \f0
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{Explain the roles of [a,] h, and k in y = a(x \'96
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}\plain \f0
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{Sketch, by hand, the graph of y = a(x \'96
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{Sketch, by hand, the graph of y = a(x \'96
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sing the appropriate terminology to describe the transformations, and identify th
e vertex and the equation of the axis of symmetry.\par
}\plain \f0
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{Sketch, by hand, the graph of y = a(x \'96
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e vertex and the equation of the axis of symmetry.\par
}\plain \f0
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{Sketch, by hand, the graph of y = a(x \'96
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e vertex and the equation of the axis of symmetry.\par
}\plain \f0
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{Sketch, by hand, the graph of y = a(x \'96
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}\plain \f0
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{REF:\tab }\plain \f0
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{Determine the equation, in the form y = a(x \'96
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{Explain the roles of a, h, and k in y = a(x \'96
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on of the axis of symmetry. | Determine the equation, in the form y = a(x \'96
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{Explain the roles of a, h, and k in y = a(x \'96
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rminology to describe the transformations, and identify the vertex and the equati
on of the axis of symmetry. | Determine the equation, in the form y = a(x \'96
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{TOP:\tab }\plain \f0
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{Explain the roles of a, h, and k in y = a(x \'96
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on of the axis of symmetry. | Determine the equation, in the form y = a(x \'96
h)^2
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\fs22
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{TOP:\tab }\plain \f0
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{Explain the roles of a, h, and k in y = a(x \'96
h)^2 + k, using the appropriate te
rminology to describe the transformations, and identify the vertex and the equati
on of the axis of symmetry. | Determine the equation, in the form y = a(x \'96
h)^2
+ k, of a given graph of a parabola. \tab }\plain \f0
\fs22
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{TOP:\tab }\plain \f0
\fs22
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{vertex form}\plain \f0
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{\par
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3, \'96
9, \'96
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{Second differences: \'96
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{Since the second differences are constant, the relation in quadratic. \par
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{REF:\tab }\plain \f0
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{3.1 Exploring Quadratic Relations\par
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{OBJ:\tab }\plain \f0
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{Determine, through investigation with and without the use of technology, that a
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{Communication | Application\par
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{KEY:\tab }\plain \f0
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{quadratic relation in standard form | first differences | second differences | p
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{Selecting Tools and Computational Strategies | Connecting | Communicating}\plain \f0
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\ql{a) The zeros are (0, 0) and (9, 0). The football hits the ground after 9 s.\par
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{b) The coordinates of the vertex are (4.5, 101.25).\par
}\plain \f0
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{c) \par
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. | Sketch or graph a quadratic relation whose equation is given in the form y =
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or minimum value of a quadratic relation from its graph (i.e., using graphing cal
culators or graphing software) [or from its defining equation (i.e., by applying
algebraic techniques)]. | Solve problems arising from a realistic situation repre
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. | Sketch or graph a quadratic relation whose equation is given in the form y =
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or minimum value of a quadratic relation from its graph (i.e., using graphing cal
culators or graphing software) [or from its defining equation (i.e., by applying
algebraic techniques)]. | Solve problems arising from a realistic situation repre
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. | Sketch or graph a quadratic relation whose equation is given in the form y =
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or minimum value of a quadratic relation from its graph (i.e., using graphing cal
culators or graphing software) [or from its defining equation (i.e., by applying
algebraic techniques)]. | Solve problems arising from a realistic situation repre
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s)
. | Sketch or graph a quadratic relation whose equation is given in the form y =
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and without the use of technology.\par
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Zerion Mini Shell 1.0