Illinois Learning Standards
Stage J - Mathematics
Mathematics Classroom Assessments Aligned to the Illinois Learning Standards
The assessments are coded according to learning standard and stage. Example: 6A.J is aligned to standard 6A, stage J (eleventh & twefth grades). Sample student work, when available, will follow the assessment.
Analyze the use of the annuity formula and compare it to the two compound interest formulas accordingly. It is assumed students have worked with and are familiar with the annuity formula and compound interest formulas.
Use the Law of Sines and the Law of Cosines to determine the indirect measurement of the width of a river.
Write the explicit and recursive forms of the sequence of an investment and compare the amount to the continuously compounded interest formula for the same time period, interest and principal.
This task uses electrical resistance in a wire as a context for finding the constant of proportionality and applying it to a new situation using electrical resistance in a wire.
Relate the winding motion of an electric hoist with the circumference of the drum to calculate distance lifted.
Use parametric equations to describe the path of a hit baseball, determine whether the hit is a home run, and evaluate the importance of angles and the minimum velocity needed to hit a home run.
Perform calculations for linear speed and angular speed.
Make a drawing using piecewise functions and relations from a specified list of equations.
Write equations and graph ellipses, hyperbolas and a parabola that all have the same focus and vertex.
Analyze rational function graphs to make conclusions and create an equation to fit a set of requirements.
Calculate the measure of an inscribed angle using the marked tangent, a secant, chords and angles.
Use coordinate geometry to prove what kind of quadrilateral is formed when the midpoints of a quadrilateral are connected.
Create and administer a survey, analyze and present results.
Calculate the probability of compound events.