Stage G - Mathematics
Assessments
Mathematics Classroom Assessments Aligned to the Illinois
Learning Standards
The assessments are coded according to learning standard
and stage. Example: 6A.G is aligned to standard 6A, stage
G (seventh grade). Sample student work, when available, will
follow the assessment.
6A & 6D & 7C.G - Solar System
Convert large numbers into scientific notation, compute and
compare ratios to explain why drawing completely accurate
scale drawings of the solar system is not feasible.
6B & 6C & 6D.G - Cutting the
Wood
Analyze the instructions for cutting a board into fractional
parts to determine why following those instructions did not
produce the desired results and reword the directions to prevent
the error in the future.
6C.G - Alternative Algorithms
Analyze the appropriateness of the algorithms applied to six
computations and determine if they will obtain the correct
results.
6D.G - Science Fair
Determine how to share space and costs for the science fair
among three schools.
6D & 7A & 7B.G - Measuring
the Flagpole
Determine the height of a flagpole.
7A & 9A.G - Geoboard Areas
Determine the area of a shape on a geoboard or dot paper and
draw figures that meet given area conditions.
7A & 7C.G - How Tall is the Building?
Determine the height of a building using similar triangles
and proportional reasoning.
7A & 9B & 9C.G - Tangram Areas
Identify geometric shapes and their areas in a seven-piece
tangram and use those pieces to determine the area of a second
figure and to construct a third figure.
7C & 9B.G - Sports Bag
Determine an efficient layout of the pieces to make a sports
bag with given dimensions and specifications.
8A.G - Toothpick Triangles
Determine the number of toothpicks needed to build a figure
in the pattern.
8B & 8C.G - Grab Bags
Represent graphically and symbolically the range in values
possible for merchandise placed in grab bags.
8C.G - Comparing Heights
Judge the accuracy of various conclusions using clues about
various students’ heights and provide rationale for their
correctness based on the properties of inequalities.
8D.G - Walking Home
Analyze a situation involving distance traveled in a given
period of time when rate is provided, represent this situation
tabularly, graphically or algebraically, and explain their
reasoning.
9D.G - The Diagonal of a Box
Solve a problem involving similar figures and the Pythagorean
theorem and justify their reasoning and procedures.
10A.G - Box & Whiskers
Describe similarities and differences in two data sets that
are represented by box and whiskers plots.
10A.G - No Bias Allowed
Analyze the differences in various graphical representations
of the same data set, and discuss the possible bias present
in the graphs.
10B.G - Which Pizza?
Plan a follow up study to one that has been already done in
class to determine the favorite pizzas.
10C.G - Matching Pairs
Determine the probability of various results of a game that
is based on two-stage probability and determine the odds of
winning the game.
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