Unit 3 Quadratics Relations 1 Worksheet
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45Unit 3 - (Quadratics 1) - Outline
Specific
Day
Lesson Title
Expectations
1
Graphs of Quadratic Relations
A1.1, A1.2
2
The Parabola
A1.1, A1.2
3
Exploring Vertex Form
A1.3
4
Graphing Parabolas
A1.4
5
Factored Form of a Quadratic Relation
A1.8
6
Quadratics Consolidation
A1.9
7
Review Day
8
Test Day
8
TOTAL DAYS:
A1.1- construct tables of values and graph quadratic relations arising from real-world applications (e.g.,
dropping a ball from a given height; varying the edge length of a cube and observing the effect on the
surface area of the cube);
A1.2 - determine and interpret meaningful values of the variables, given a graph of a quadratic relation
arising from a real-world application (Sample problem: Under certain conditions, there is a quadratic
relation between the profit of a manufacturing company and the number of items it produces. Explain how
you could interpret a graph of the relation to determine the numbers of items produced for which the
company makes a profit and to determine the maximum profit the company can make.);
A1.3 - determine, through investigation using technology, and describe the roles of a, h, and k in
2
quadratic relations of the form y = a(x – h)
+ k in terms of transformations on the graph of y = x2
(i.e., translations; reflections in the x-axis; vertical stretches and compressions) [Sample problem:
2
Investigate the graph y = 3(x – h)
+ 5 for various values of h, using technology, and describe the
effects of changing h in terms of a transformation.];
2
A1.4 - sketch graphs of quadratic relations represented by the equation y = a(x – h)
+ k (e.g.,
using the vertex and at least one point on each side of the vertex; applying one or more
2
transformations to the graph of y = x
);
A1.8 – determine, through investigation, and describe the connection between the factors of a
quadratic expression and the x-intercepts of the graph of the corresponding quadratic relation
2
(Sample problem: Investigate the relationship between the factored form of 3x
+ 15x + 12 and the
2
x-intercepts of y = 3x
+ 15x + 12.);
A1.9 – solve problems, using an appropriate strategy (i.e., factoring, graphing), given equations of
quadratic relations, including those that arise from real-world applications (e.g., break-even point)
(Sample problem: On planet X, the height, h metres, of an object fired upward from the ground at
2
48 m/s is described by the equation h = 48t – 16t
, where t seconds is the time since the object was
fired upward. Determine the maximum height of the object, the times at which the object is 32 m
above the ground, and the time at which the object hits the ground.).
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