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Illinois Math Standards - Stage B
MathScore aligns to the Illinois Math Standards for Stage B. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Illinois Math Standards at other levels.
Number Sense
6A Students who meet the standard can demonstrate knowledge and use of numbers and their many representations in a broad range of theoretical and practical settings. (Representations)1. Count with understanding, including skip counting from any number by 2's and 10's. (Counting Squares , Skip Counting )
2. Extend initial understanding of place value and the base-ten number system using multiple models. (Place Value to 1000 , Place Value )
3. Describe numeric relationships using comparison notation. (Number Comparison )
4. Use cardinal and ordinal numbers appropriately.
5. Recognize and explain the concept of odd and even numbers. (Odd or Even )
6. Describe parts of a set using 1/2, 1/3, and 1/4.
7. Represent, order, label, and compare unit fractions using concrete materials. (Requires outside materials )
6B Students who meet the standard can investigate, represent and solve problems using number facts, operations, and their properties, algorithms, and relationships. (Operations and properties)
1. Solve two-step addition and subtraction number sentences and word problems.
2. Demonstrate the relationship between addition and subtraction. (Inverse Equations 1 )
3. Explore multiplication and division through equal grouping and equal sharing of objects. (Understanding Multiplication , Understanding Division )
4. Connect repeated addition to multiplication. (Understanding Multiplication )
5. Demonstrate fluency with basic addition and subtraction facts. (Fast Addition , Fast Addition Reverse , Fast Subtraction )
6C Students who meet the standard can compute and estimate using mental mathematics, paper-and-pencil methods, calculators, and computers. (Choice of method)
1. Explain and use mental math strategies to solve simple addition and subtraction problems. (Fast Addition , Fast Addition Reverse , Fast Subtraction , Missing Term , Basic Word Problems )
2. Estimate sums and differences of one- or two-digit numbers. (Estimated Addition , Estimated Subtraction )
3. Analyze situations to determine whether exact numbers or estimates are appropriate. (Estimated Multiply Divide Word Problems )
4. Utilize a calculator to solve addition and subtraction problems.
6D Students who meet the standard can solve problems using comparison of quantities, ratios, proportions, and percents.
1. Compare unit fractions, using manipulatives, to solve problems. (Requires outside materials )
Estimation and Measurement
7A Students who meet the standard can measure and compare quantities using appropriate units, instruments, and methods. (Performance and conversion of measurements)1. Identify the type of measure (e.g., weight, height, volume, temperature) for each measurable attribute.
2. Measure objects using standard units.
3. Order events chronologically.
4. Tell time using an analog clock. (Telling Time )
5. Describe relationships within units of time, money, and length (e.g., 12 inches in a foot).
6. Count, compare, and order sets of unlike coins. (Counting Money )
7. Show equivalent amounts of money.
8. Explore and explain making change using manipulatives. (Making Change 2 , Requires outside materials )
7B Students who meet the standard can estimate measurements and determine acceptable levels of accuracy. (Estimation)
1. Estimate elapsed time for a given task.
2. Estimate standard measurements of length, weight, and capacity.
3. Estimate the amount of money needed to make purchases.
7C Students who meet the standard can select and use appropriate technology, instruments, and formulas to solve problems, interpret results, and communicate findings. (Progression from selection of appropriate tools and methods to application of measurements to solve problems)
1. Select an appropriate unit and tool for measurement.
2. Explore and describe perimeter and area of real objects. (Requires outside materials )
3. Solve problems using money and time. (Time Intervals , Making Change , Making Change 2 )
Algebra and Analytical Methods
8A Students who meet the standard can describe numerical relationships using variables and patterns. (Representations and algebraic manipulations)1. Sort, classify, and order objects by multiple properties.
2. Create rules for multiple sortings in a single set.
3. Recognize, describe, and extend geometric and numeric patterns. (Patterns: Numbers , Patterns: Shapes )
4. Create patterns concretely and numerically to match a given letter description (e.g., AAB) and make predictions.
5. Extend numeric patterns involving addition and/or subtraction (e.g., 1, 3, 5,... what are the next two terms?). (Patterns: Numbers )
6. Change patterns by manipulation of concrete materials.
7. Describe missing units in a pattern. (Patterns: Shapes )
8. Analyze growing patterns. (Patterns: Shapes )
8B Students who meet the standard can interpret and describe numerical relationships using tables, graphs, and symbols. (Connections of representations including the rate of change)
1. Describe and compare quantitative change (e.g., student grows two inches in one year). (Line Graphs )
8C Students who meet the standard can solve problems using systems of numbers and their properties. (Problem solving; number systems, systems of equations, inequalities, algebraic functions)
1. Solve word problems involving unknown quantities. (Basic Word Problems )
2. Apply the relationship of addition and subtraction families to solve for an unknown quantity. (Missing Term )
8D Students who meet the standard can use algebraic concepts and procedures to represent and solve problems. (Connection of 8A, 8B, and 8C to solve problems)
1. Solve problems and justify solutions using patterns.
Geometry
9A Students who meet the standard can demonstrate and apply geometric concepts involving points, lines, planes, and space. (Properties of single figures, coordinate geometry and constructions)1. Investigate and predict the results of putting together and taking apart two- and three-dimensional shapes (e.g., put two triangles together to make a quadrilateral).
2. Describe and interpret direction and distance in navigating space, and apply concepts of direction and distance (e.g., nearer/farther).
3. Perform translations (slides), reflections (flips), and rotations (turns) with concrete objects. (Requires outside materials )
4. Create and complete shapes that have line symmetry.
9B Students who meet the standard can identify, describe, classify and compare relationships using points, lines, planes, and solids. (Connections between and among multiple geometric figures)
1. Identify objects that are congruent.
2. Compare and contrast attributes of two- and three-dimensional objects using appropriate vocabulary.
9C Students who meet the standard can construct convincing arguments and proofs to solve problems. (Justifications of conjectures and conclusions)
1. Justify an extension of a pattern.
Data Analysis and Probability
10A Students who meet the standard can organize, describe and make predictions from existing data. (Data analysis)1. Organize and interpret simple data displays such as pictographs, tallies, tables, and bar graphs. (Tally and Pictographs , Bar Graphs )
2. Make predictions from simple data. (Line Graphs )
10B Students who meet the standard can formulate questions, design data collection methods, gather and analyze data and communicate findings. (Data Collection)
1. Gather data by creating and using interview questions.
10C Students who meet the standard can determine, describe and apply the probabilities of events. (Probability including counting techniques)
1. Identify and discuss likely, unlikely, and impossible probability events.
2. Communicate and display results of probability events in order to make predictions of future events.
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