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Geometry PARCC question: diagonal length

The diagonal of a square can be determined using the Pythagorean Theorem or, just as well, with trigonometry.

Geometry PARCC question: triangle dilation

When it comes to dilations of triangles, can you recognize similar and congruent parts of the before and after images?

Algebra 1 PARCC question: exponential websites

Modeling real-world situations sometimes requires a linear model, sometimes an exponential model, sometimes a coffee model.

Algebra 1 PARCC question: compare job offers

The point at which something more expensive to buy becomes less expensive because operating costs aren't as high can be modeled with a system of linear equations.

Algebra 1 PARCC question: graph Ay + Bx = C

We have lots of equivalent ways of writing equations for lines, or linear functions, including slope-intercept, point-slope, and Ax+By=C.

Algebra 1 PARCC question: predict from data

You can find the average of a set of data and use it to model the behavior of a system that is under investigation in the real world.

Algebra 1 PARCC question: complete the square

We complete the square here, to solve a quadratic equation. Also, the question provides some useful tips about the solutions to quadratic equations.

Algebra 1 PARCC question: proof of slope

A quick proof by induction and then minor examples allow you to test the hypothesis that the slope of a line is constant over the whole line.

Algebra 1 PARCC question: area of rug equation

Using an equation to determine the area of a rug requires you to manipulate a small mathematical model. More equation editor problems.

Algebra 1 PARCC question: build function

Functions that model a situation can determine how many tickets you need to sell or how many hours you need to work to buy tickets.