IXL Math - Illinois fifth-grade math standards

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Illinois

Skills available for Illinois fifth-grade math standards

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4-5.6 Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

4-5.7 Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

4-5.7.A Measure and compare quantities using appropriate units, instruments and methods.
4-5.7.A.2a Calculate, compare and convert length, perimeter, area, weight/mass and volume within the customary and metric systems.
4-5.7.A.2b Solve addition, subtraction, multiplication and division problems using currency.
4-5.7.B Estimate measurements and determine acceptable levels of accuracy.
4-5.7.B.2a Determine and communicate possible methods for estimating a given measure, selecting proper units in both customary and metric systems.
4-5.7.B.2b Estimate conversions between measures within the customary and metric systems.
4-5.7.C Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.
4-5.7.C.2a Describe relationships in a simple scale drawing.
- Ratios, proportions, and percents: Scale drawings (Fifth grade - U.7)
4-5.7.C.2b Construct or draw figures with given perimeters and areas.

4-5.8 Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

4-5.8.A Describe numerical relationships using variables and patterns.
4-5.8.A.2a Identify, describe, extend and create geometric and numeric patterns.
4-5.8.A.2b Construct and solve number sentences using a variable to represent an unknown quantity.
4-5.8.B Interpret and describe numerical relationships using tables, graphs and symbols.
4-5.8.B.2 Analyze a geometric pattern and express the results numerically.
- Patterns: Geometric growth patterns (Fourth grade - L.1)
- Patterns: Geometric growth patterns (Fifth grade - S.1)
4-5.8.C Solve problems using systems of numbers and their properties.
4-5.8.C.2 Explain operations and number properties including commutative, associative, distributive, transitive, zero, equality and order of operations.
4-5.8.D Use algebraic concepts and procedures to represent and solve problems.
4-5.8.D.2 Solve linear equations involving whole numbers.
- Algebra: Function tables (Fifth grade - P.7)

4-5.9 Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

4-5.9.A Demonstrate and apply geometric concepts involving points, lines, planes and space.
4-5.9.A.2a Build physical models of two- and three-dimensional shapes.
4-5.9.A.2b Identify and describe how geometric figures are used in practical settings (e.g., construction, art, advertising).
4-5.9.A.2c Describe and draw representations of geometric relationships, patterns, symmetries, and designs in two- and three-dimensions with and without technology.
4-5.9.B Identify, describe, classify and compare relationships using points, lines, planes and solids.
4-5.9.B.2 Compare geometric figures and determine their properties including parallel, perpendicular, similar, congruent and line symmetry.
4-5.9.C Construct convincing arguments and proofs to solve problems.
4-5.9.C.2 Formulate logical arguments about geometric figures and patterns and communicate reasoning.

4-5.10 Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

4-5.10.A Organize, describe and make predictions from existing data.
4-5.10.A.2a Organize and display data using pictures, tallies, tables, charts, bar graphs, line graphs, line plots and stem-and-leaf graphs.
4-5.10.A.2b Using a data set, determine mean, median, mode and range, with and without the use of technology.
4-5.10.A.2c Make predictions and decisions based on data and communicate their reasoning.
4-5.10.B Formulate questions, design data collection methods, gather and analyze data and communicate findings.
4-5.10.B.2a Formulate questions of interest and select methods to systematically collect data.
4-5.10.B.2b Collect, organize and display data using tables, charts, bar graphs, line graphs, circle graphs, line plots and stem-and-leaf graphs.
- Data, charts, and graphs: Line graphs (Fourth grade - J.2)
- Data, charts, and graphs: Bar graphs (Fourth grade - J.3)
4-5.10.B.2c Analyze the data using mean, median, mode and range, as appropriate, with or without the use of technology.
- Probability and statistics: Interpret charts to find mean, median, mode, and range (Fourth grade - U.4)
- Probability and statistics: Interpret charts to find mean, median, mode, and range (Fifth grade - X.3)
4-5.10.B.2d Interpret results or make relevant decisions based on the data gathered.
4-5.10.C Determine, describe and apply the probabilities of events.
4-5.10.C.2a Calculate the probability of a simple event.
- Probability and statistics: Make predictions (Fourth grade - U.2)
- Probability and statistics: Make predictions (Fifth grade - X.5)
4-5.10.C.2b Compare the likelihood of events in terms of certain, more likely, less likely or impossible.
- Probability and statistics: Calculate probability (Fourth grade - U.1)
- Probability and statistics: Calculate probability (Fifth grade - X.4)
4-5.10.C.2c Determine the probability of an event involving "and", "or" or "not".
- Probability and statistics: Probabilities of compound events (Fifth grade - X.7)