Sunday, September 27, 2020
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### Geometry PARCC question: diagonal length

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

### Geometry PARCC question: triangle dilation

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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

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

### Algebra 1 PARCC question: compare job offers

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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

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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

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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

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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

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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

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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

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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.