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• Non-Linear Functions
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# Non-Linear Functions

## Non-Linear Functions

1. Comparing Different Functions - The students will discuss, represent, and solve a verbal problem involving the choice between two functions.
1. Comparing Functions - This lesson is split into two days. In the first class, the students will analyze eight basic graph shapes and will represent and solve a verbal problem involving the choice between two functions. In the second one they will be asked to choose, among the eight basic graph shapes, the ones that matches specific situations.
2. Fourth Grade Assessment IV - This is a written assessment where children will compare two students. One of the students' speed can be represented linearly while the other's speed is represented by a non-linear graph.
3. Intervals - Students reason about graphs showing growth over time. They compare heights of children and heights of two animals at different time intervals.
4. Linear vs Quadratic Functions - The students will use two functions (a linear and a quadratic) that are represented as a sequence of patterns and create a sequence of hops on the number line and an algebraic expression to express the functions.
5. Running Race I - Compare a race between two students: one who runs at a constant pace, the other who tires out as the race proceeds.
6. Running Race II - Compare a race between two students: one who runs at a constant pace and one who changes pace as the race proceeds.
7. Swimming Pools I - Compare how two swimming pools fill up with water over several hours.
8. Varying Speed - Children are asked to tell a story about a trip depicted through a graph that has varying slopes/speeds.
9. Varying Velocity - Children are asked to tell a story about a trip depicted through a graph that has varying slopes/velocities.