# 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.

• ###### 6B & 6C & 8A.J - Save Your Change

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.
• ###### 6C & 7B & 9D.J - River Width

Use the Law of Sines and the Law of Cosines to determine the indirect measurement of the width of a river.
• ###### 6C & 8A & 8C.J - Investment Plans

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.
• ###### 6D.J - Resistance in Wire

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.
• ###### 7A.J - Electric Hoist Problem

Relate the winding motion of an electric hoist with the circumference of the drum to calculate distance lifted.
• ###### 7B & 8C & 9D.J - Baseball Home Run

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.
• ###### 7C & 9A.J - Gears and Wheels

Perform calculations for linear speed and angular speed.
• ###### 8B.J - Art Project

Make a drawing using piecewise functions and relations from a specified list of equations.
• ###### 8B.J - Confocal Conics

Write equations and graph ellipses, hyperbolas and a parabola that all have the same focus and vertex.
• ###### 8D & 6A.J - Rational Function Graphs

Analyze rational function graphs to make conclusions and create an equation to fit a set of requirements.
• ###### 9B.J - Circle Puzzle

Calculate the measure of an inscribed angle using the marked tangent, a secant, chords and angles.
• ###### 9C & 6B & 6C.J - Which Quadrilateral is It?

Use coordinate geometry to prove what kind of quadrilateral is formed when the midpoints of a quadrilateral are connected.
• ###### 10A & 10B.J - Dating Practices

Create and administer a survey, analyze and present results.
• ###### 10C.J - Studying for a Test

Calculate the probability of compound events.