We sometimes need to develop mathematical models for costs we incur in our jobs or in daily life. Here’s one way to do just that.
Creating 2 equations in 2 unknowns to describe a set of conditions is a skill algebra 1 students need if they’ll be taking the PARCC test this spring.
How would you figure out (and explain) when one car, traveling at a given speed, will overtake another car that had a head start?
Adding, multiplying, & subtracting polynomials is tested, quite thoroughly, on the PARCC algebra 1 test, used in Md. and some middle schools in IL.
Solving equations for a variable of interest is required in algebra 1 on the PARCC test (and in the Common Core). Students find the radius of a circular pool.
Is a given ordered pair on the graph of a function? Algebra 1 students should be able to figure it out, esp. those who will take the PARCC test this year.
The zeros of a polynomial are the x values when the polynomial equals 0. Do you know how to find the zeros?
Modeling real-world situations sometimes requires a linear model, sometimes an exponential model, sometimes a coffee model.
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.
We have lots of equivalent ways of writing equations for lines, or linear functions, including slope-intercept, point-slope, and Ax+By=C.