# Illinois Learning Standards

## Stage I - Mathematics

### Mathematics Classroom Assessments Aligned to the Illinois Learning Standards

The assessments are coded according to learning standard and stage. Example: 6A.I is aligned to standard 6A, stage I (ninth & tenth grades). Sample student work, when available, will follow the assessment.

• ###### 6A.I - Where Does it Belong?

Place a variety of real numbers on a number line and explain the reasoning used.
• ###### 6B & 6C & 10C.I - Computer Passwords

Determine the approximate time it takes a computer to test all the possible passwords of a certain length.
• ###### 6B & 6D & 8C & 8D.I - Windmill Power

Use an equation representing a situation of direct variation to solve problems and make a comparison.
• ###### 6C & 7A & 7B & 7C.I - Spaghetti Measure

Use circles and diameters of given dimensions to determine a new circle with an area that is the sum of two other areas.
• ###### 7A & 7B & 7C & 8B.I - Beautiful Faces

Measure photographs of seven persons for particular aspects of beauty, calculate a set of ratios to compare them to a standard of beauty.
• ###### 7A & 7C & 9B & 9D.I - Corner Cabinet

Determine appropriate measurements for a corner television cabinet.
• ###### 7A & 8A & 8C & 10A.I - Stretching Spring

Create a line of best fit for a given set of data points and use it to interpolate and extrapolate values for given situations accordingly.
• ###### 7A & 9A & 9C.I - Equal Area Triangles

Determine multiple ways of dividing a generic triangle into four triangles of equal area.
• ###### 8B & 8C.I - Missed the Boat

Calculate when a helicopter will catch up with a ship that left the same location 6 hours earlier given a graph that
plotted the distance the ship and helicopter traveled for a given time period.
• ###### 9B & 9C.I - Dead Man's Curve

Calculate the force needed to keep a car on a curve using a set of formulas and a geometric property of circles.
• ###### 10B.I - Joining Clubs

Create a critical question and design an instrument to gather the needed data.