Illinois Math Curriculum
Illinois math, aligned to the Illinois Learning Standards (ILS) and built for IAR testing.
Browse by school level
Elementary School Math
Number sense, operations, fractions, and early geometry, one course per grade.
Kindergarten Math
Counting and cardinality, addition and subtraction, and shapes for Illinois kindergarten math.
1st Grade Math
Addition and subtraction, place value, and shapes for 1st grade math.
2nd Grade Math
Place value, measurement, and addition and subtraction within 1000.
3rd Grade Math
Multiplication, fractions, and area measurement for 3rd grade math.
4th Grade Math
Fractions, multi-digit multiplication, and geometry for 4th grade math.
5th Grade Math
Fractions, decimal operations, and volume for 5th grade math.
Middle School Math
Ratios, proportional reasoning, expressions, and the bridge into algebra.
6th Grade Math
Ratios, expressions and equations, and data analysis for 6th grade math.
7th Grade Math
Proportional relationships, rational numbers, and probability for 7th grade math.
8th Grade Math
Scientific notation, linear functions, and the Pythagorean Theorem for 8th grade math.
High School Math
The full Illinois high school sequence: Algebra 1 through Calculus, Statistics, and more.
Algebra 1
Linear equations, systems, and functions for IL Algebra 1.
Geometry
Transformations, triangle congruence, and circle theorems in IL Geometry.
Algebra 2
Polynomials, rational exponents, and trigonometric functions for IL Algebra 2.
Trigonometry
Unit circle, trig identities, and the Laws of Sines and Cosines.
Consumer Math
Budgeting equations, statistical inference, and probability for consumer math.
Precalculus
Complex numbers, trigonometric functions, and vectors in precalculus.
Calculus
Limits, derivatives, and integrals for IL high school calculus.
Statistics
Data distributions, probability rules, and statistical inference for IL high school.
Discrete Mathematics
Permutations, matrix operations, and probability distributions for IL Discrete Math.
Aligned with the Illinois Learning Standards
Every course follows the Illinois Learning Standards grade by grade, matching the pacing your child's teacher uses so they can find the exact skill covered that day.
- Mapped to the Illinois Learning Standards, grade by grade
- IAR review built into every relevant course
- Unlimited practice problems with worked solutions
Math Curriculum by State
Select any state across the United States to see its math courses and sequence.
State Standards
CURRICULUM GUIDE
About the Illinois Math Curriculum
How Illinois Learning Standards Work
Illinois sets its own math expectations through the Illinois Learning Standards, organizing skills by grade from Kindergarten through high school.
How Illinois Differs
Illinois introduces expressions and equations in 6th grade and places Algebra 1 as a distinct high school course, keeping it separate from the middle school sequence.
How Illinois Math Progresses
Students build from number sense in Kindergarten through proportional reasoning in middle school, then move into Algebra 1, Geometry, and advanced courses like Calculus.
How Illinois Assesses Math
The IAR tests math in 3rd through 8th grade; high school students may take the SAT, which Illinois administers for college readiness alongside end-of-course work.
Common Questions from Illinois Parents
We've got answers to some popular questions.
Which grades does StudyPug cover for Illinois math?
StudyPug covers Illinois math from Kindergarten through high school, including Algebra 1, Geometry, Algebra 2, Precalculus, Calculus, Statistics, and more.
How do I find the course that matches my child's class?
Browse by grade band - elementary, middle, or high school - and select the course that matches your child's current class name from their school schedule.
Does StudyPug help with the IAR math test?
Yes. Practice problems in the 3rd through 8th grade courses are built around the Illinois Learning Standards tested on the IAR, based on real exams.
Does the course order match what my child's school teaches?
Courses follow the Illinois Learning Standards sequence, so topics appear in the same order your child's teacher is likely to cover them throughout the year.
Can I use StudyPug for homeschooling?
Yes. Lessons are organized by grade and Illinois Learning Standards objective, so homeschooling families can work through each topic at the student's own pace.
Reviewed by the StudyPug Curriculum Team
Last updated June 5, 2026
3 M+
students
★★★★★
4.8 average
92%
improve grades