# Illinois Learning Standards

## Stage G - Mathematics

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

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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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