IXL - Illinois high school math standards

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Skills available for Illinois high school math standards

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Standards document:

2010 Common Core State Standards 2010 Common Core State Standards
1997 Illinois Learning Standards: Early High School 1997 Illinois Learning Standards: Early High School
1997 Illinois Learning Standards: Late High School 1997 Illinois Learning Standards: Late High School

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9-10.6 Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

9-10.6.A Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.
9-10.6.A.4 Identify and apply the associative, commutative, distributive and identity properties of real numbers, including special numbers such as pi and square roots.
9-10.6.B Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, division) and their properties, algorithms and relationships.
9-10.6.B.4 Select and use appropriate arithmetic operations in practical situations including calculating wages after taxes, developing a budget and balancing a checkbook.
9-10.6.C Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.
9-10.6.C.4 Determine whether exact values or approximations are appropriate (e.g., bid a job, determine gas mileage for a trip).
9-10.6.D Solve problems using comparison of quantities, ratios, proportions and percents.
9-10.6.D.4 Solve problems involving recipes or mixtures, financial calculations and geometric similarity using ratios, proportions and percents.

9-10.7 Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

9-10.7.A Measure and compare quantities using appropriate units, instruments and methods.
9-10.7.A.4a Apply units and scales to describe and compare numerical data and physical objects.
9-10.7.A.4b Apply formulas in a wide variety of theoretical and practical real-world measurement applications involving perimeter, area, volume, angle, time, temperature, mass, speed, distance, density and monetary values.
9-10.7.B Estimate measurements and determine acceptable levels of accuracy.
9-10.7.B.4 Estimate and measure the magnitude and directions of physical quantities (e.g., velocity, force, slope) using rulers, protractors and other scientific instruments including timers, calculators and computers.
9-10.7.C Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.
9-10.7.C.4a Make indirect measurements, including heights and distances, using proportions (e.g., finding the height of a tower by its shadow).
9-10.7.C.4b Interpret scale drawings and models using maps and blueprints.
- Ratios and proportions: Scale drawings and scale factors (Algebra - C.7)
9-10.7.C.4c Convert within and between measurement systems and monetary systems using technology where appropriate.

9-10.8 Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

9-10.8.A Describe numerical relationships using variables and patterns.
9-10.8.A.4a Use algebraic methods to convert repeating decimals to fractions.
- Percents: Convert between percents, fractions, and decimals (Algebra - D.1)
9-10.8.A.4b Represent mathematical patterns and describe their properties using variables and mathematical symbols.
9-10.8.B Interpret and describe numerical relationships using tables, graphs and symbols.
9-10.8.B.4a Represent algebraic concepts with physical materials, words, diagrams, tables, graphs, equations and inequalities and use appropriate technology.
9-10.8.B.4b Use the basic functions of absolute value, square root, linear, quadratic and step to describe numerical relationships.
9-10.8.C Solve problems using systems of numbers and their properties.
9-10.8.C.4a Analyze and report the effects of changing coefficients, exponents and other parameters on functions and their graphs.
9-10.8.C.4b Apply algebraic properties and procedures with matrices, vectors, functions and sequences using data found in business, industry and consumer situations.
9-10.8.D Use algebraic concepts and procedures to represent and solve problems.
9-10.8.D.4 Formulate and solve linear and quadratic equations and linear inequalities algebraically and investigate nonlinear inequalities using graphs, tables, calculators and computers.

9-10.9 Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

9-10.9.A Demonstrate and apply geometric concepts involving points, lines, planes and space.
9-10.9.A.4a Construct a model of a three-dimensional figure from a two-dimensional pattern.
- Geometry: Nets of 3-dimensional figures (Eighth grade - Q.24)
9-10.9.A.4b Make perspective drawings, tessellations and scale drawings, with and without the use of technology.
- Geometry: Dilations and scale factors (Algebra - F.7)
9-10.9.B Identify, describe, classify and compare relationships using points, lines, planes and solids.
9-10.9.B.4 Recognize and apply relationships within and among geometric figures.
9-10.9.C Construct convincing arguments and proofs to solve problems.
9-10.9.C.4a Construct and test logical arguments for geometric situations using technology where appropriate.
9-10.9.C.4b Construct and communicate convincing arguments for geometric situations.
9-10.9.C.4c Develop and communicate mathematical proofs (e.g., two-column, paragraph, indirect) and counter examples for geometric statements.
- Logic: Identify hypotheses and conclusions (Algebra - HH.1)
- Logic: Counterexamples (Algebra - HH.2)
9-10.9.D Use trigonometric ratios and circular functions to solve problems.
9-10.9.D.4 Analyze and solve problems involving triangles (e.g., distances which cannot be measured directly) using trigonometric ratios.

9-10.10 Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

9-10.10.A Organize, describe and make predictions from existing data.
9-10.10.A.4a Represent and organize data by creating lists, charts, tables, frequency distributions, graphs, scatterplots and box-plots.
9-10.10.A.4b Analyze data using mean, median, mode, range, variance and standard deviation of a data set, with and without the use of technology.
9-10.10.A.4c Predict from data using interpolation, extrapolation and trend lines, with and without the use of technology.
- Charts and graphs: Interpret a scatter plot (Algebra - N.6)
- Charts and graphs: Scatter plots: line of best fit (Algebra - N.7)
9-10.10.B Formulate questions, design data collection methods, gather and analyze data and communicate findings.
9-10.10.B.4 Design and execute surveys or experiments, gather data to answer relevant questions, and communicate results and conclusions to an audience using traditional methods and contemporary technology.
9-10.10.C Determine, describe and apply the probabilities of events.
9-10.10.C.4a Solve problems of chance using the principles of probability including conditional settings.
9-10.10.C.4b Design and conduct simulations (e.g., waiting times at restaurant, probabilities of births, likelihood of game prizes), with and without the use of technology.
9-10.10.C.4c Propose and interpret discrete probability distributions, with and without the use of technology.