IXL - Illinois eighth-grade math standards

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Skills available for Illinois eighth-grade math standards

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Standards document:

2010 Common Core State Standards 2010 Common Core State Standards
1997 Illinois Learning Standards 1997 Illinois Learning Standards

Print standards

6-8.6 Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

6-8.7 Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

6-8.7.A Measure and compare quantities using appropriate units, instruments and methods.
6-8.7.A.3a Measure length, capacity, weight/mass and angles using sophisticated instruments (e.g., compass, protractor, trundle wheel).
6-8.7.A.3b Apply the concepts and attributes of length, capacity, weight/mass, perimeter, area, volume, time, temperature and angle measures in practical situations.
6-8.7.B Estimate measurements and determine acceptable levels of accuracy.
6-8.7.B.3 Select and apply instruments including rulers and protractors and units of measure to the degree of accuracy required.
6-8.7.C Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.
6-8.7.C.3a Construct a simple scale drawing for a given situation.
6-8.7.C.3b Use concrete and graphic models and appropriate formulas to find perimeters, areas, surface areas and volumes of two- and three-dimensional regions.

6-8.8 Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

6-8.9 Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

6-8.9.A Demonstrate and apply geometric concepts involving points, lines, planes and space.
6-8.9.A.3a Draw or construct two- and three- dimensional geometric figures including prisms, pyramids, cylinders and cones.
6-8.9.A.3b Draw transformation images of figures, with and without the use of technology.
6-8.9.A.3c Use concepts of symmetry, congruency, similarity, scale, perspective, and angles to describe and analyze two- and three-dimensional shapes found in practical applications (e.g., geodesic domes, A-frame houses, basketball courts, inclined planes, art forms, blueprints).
6-8.9.B Identify, describe, classify and compare relationships using points, lines, planes and solids.
6-8.9.B.3 Identify, describe, classify and compare two- and three- dimensional geometric figures and models according to their properties.
6-8.9.C Construct convincing arguments and proofs to solve problems.
6-8.9.C.3a Construct, develop and communicate logical arguments (informal proofs) about geometric figures and patterns.
6-8.9.C.3b Develop and solve problems using geometric relationships and models, with and without the use of technology.
6-8.9.D Use trigonometric ratios and circular functions to solve problems.
6-8.9.D.3 Compute distances, lengths and measures of angles using proportions, the Pythagorean theorem and its converse.

6-8.10 Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

6-8.10.A Organize, describe and make predictions from existing data.
6-8.10.A.3a Construct, read and interpret tables, graphs (including circle graphs) and charts to organize and represent data.
6-8.10.A.3b Compare the mean, median, mode and range, with and without the use of technology.
6-8.10.A.3c Test the reasonableness of an argument based on data and communicate their findings.
6-8.10.B Formulate questions, design data collection methods, gather and analyze data and communicate findings.
6-8.10.B.3 Formulate questions (e.g., relationships between car age and mileage, average incomes and years of schooling), devise and conduct experiments or simulations, gather data, draw conclusions and communicate results to an audience using traditional methods and contemporary technologies.
- Statistics: Identify representative, random, and biased samples (Seventh grade - AA.5)
- Statistics: Identify representative, random, and biased samples (Eighth grade - BB.6)
6-8.10.C Determine, describe and apply the probabilities of events.
6-8.10.C.3a Determine the probability and odds of events using fundamental counting principles.
6-8.10.C.3b Analyze problem situations (e.g., board games, grading scales) and make predictions about results.