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Students analyze different representations of quadratic functions to determine what characteristics of quadratic functions are true for every quadratic function, and then extend their understanding to analyze polynomial functions.

Function Transformations

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Function Transformations

Students learn how to transform parent functions into other functions using transformations.

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• Unit 1

#### Families of Functions

Graphing Stories

Resource:
Graphing Stories

10 videos each with a situation that students model by sketching a graph.

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• Unit 1

#### Families of Functions

Hoisting the Flag 1

Resource:
Hoisting the Flag 1

Students are given a situation about a flag being raised and several graphs. They have to explain why each graph might work and what is going on to model the situation.

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• Unit 1

#### Families of Functions

Interpret graph on water storage in a reservoir and make conjectures

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Interpret graph on water storage in a reservoir and make conjectures

Students are asked to identify what they think are the key features of a graph representing the water storage in a reservoir. They need to interpret what those key features mean and make appropriate conjectures for how residents should respond.

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• Unit 1

#### Families of Functions

Interpret & justify why each graph might model situation

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Interpret & justify why each graph might model situation

Students are given a situation and then three different graphs. Students can make a case for why each graph might best model the situation. They also explain what might be happening exactly in the situation based on the specific graph.

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• Unit 1

#### Families of Functions

Interpret piece wise graph modelling changes in a bank account

Resource:
Interpret piece wise graph modelling changes in a bank account

A situation is given with a graph to model it. Students must interpret how well the graph models the situation and create their own graph to model it more accurately. This activity provides opportunity to discuss continuous vs step functions and how well they model situations.

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• Unit 1