IIP / E / 01
Elementary math
The full grades 1 to 5 sequence.
Open the syllabusIllinois · Grades 3 to 8 · From the state testing portal
The Illinois Assessment of Readiness tests math in three units, and every one of them stops at 60 minutes. The state’s coordinator manual calls the test strictly timed. That single fact shapes how an Illinois child should prepare: knowing the math is necessary, but so is finishing, and so is writing an explanation that a scorer can credit, because the state’s own scoring guidance says a right answer with no work shown will not get the top score point.
Live math since 2020 · 10,000+ students · lessons on Central Time
In short
The Illinois Assessment of Readiness (IAR) is the Illinois State Board of Education’s math and ELA test for grades 3 to 8, taken on computer in three strictly timed 60-minute math units and scored from 650 to 850 in four levels. The spring 2027 online window is March 1 to April 16, 2027. Modern Age Coders prepares Illinois children for it live online, as a group batch or 1-on-1, in our Elementary Mathematics course.
Courses for Illinois students
Each one practises the timed, explain-your-thinking style of the IAR from the first month.

IIP / 01
Times tables, fractions and volume, with no calculator in sight.
Open the syllabus →
IIP / 02
Ratios, rational numbers, equations and functions.
Open the syllabus →
IIP / 03
Speed and accuracy for the non-calculator units.
Open the syllabus →Units and timing
Three units of 60 minutes each in every grade from 3 to 8. The time is fixed: the proctor script says each section is a 60 minute timed test and the proctor stops students when time is reached.
| Grade | Unit 1 | Unit 2 | Unit 3 |
|---|---|---|---|
| 3, 4 and 5 | Non-calculator, 60 minutes | Non-calculator, 60 minutes | Non-calculator, 60 minutes |
| 6 and 7 | Non-calculator part, then calculator part, 60 minutes in total | Calculator, 60 minutes | Calculator, 60 minutes |
| 8 | Non-calculator, 60 minutes | Calculator, 60 minutes | Calculator, 60 minutes |
The 2026 Test Coordinator Manual states that the IAR ELA and math tests are “strictly timed, and no additional time may be permitted”, with the exception of a documented extended time accommodation.
So pacing is a skill we teach directly. A child who spends twelve minutes on one hard question in a 60-minute unit has borrowed that time from every question after it.
In grades 6 and 7, unit 1 has a Part A without a calculator and a Part B with one, sharing the same 60 minutes. The proctor script warns students: “Once you start the calculator section, you cannot return to Part A.”
We practise the switch: finish and check Part A, decide, then move on. Leaving Part A half done to grab the calculator is a mistake a child only needs to make once in practice.
Sources: IAR Unit Testing Times and IAR Summative Resources, Illinois Support Page, read 31 October 2026. The ISBE website did not respond when we tried it. We have no connection with ISBE or its testing contractor.
Tools
Not in grades 3 to 5. Grades 6 and 7 get a four-function calculator with square root and percentage keys in the calculator parts; grade 8 gets a scientific calculator.
| Grade | Calculator | Reference sheet | Other tools |
|---|---|---|---|
| 3 | None, except as an accommodation | None provided | Ruler |
| 4 | None, except as an accommodation | None provided | Ruler and protractor |
| 5 | None, except as an accommodation | Illinois grade 5 sheet | Ruler and protractor |
| 6 and 7 | Four-function with square root and percentage, calculator parts only | Illinois grade sheet | Ruler and protractor |
| 8 | Scientific, calculator units only | Illinois grade 8 sheet | Ruler; protractor, tracing paper, reflection tools, straight edges and compasses optional |
ISBE’s scoring expectations document points out that the reference sheets inside the practice item sets are not the Illinois sheets used on the IAR. A grade 4 practice set shows a reference sheet, but the grade 4 IAR has none.
For a fourth grader that matters: perimeter and area formulas have to be known, not looked up. We drill them as facts in grades 3 and 4.
The calculator sits in the TestNav toolbar during calculator units. Schools may also allow hand-held calculators that meet the policy, with memory cleared before and after testing.
Text-to-speech is embedded on all math tests, according to the proctor script, so a child who wants questions read aloud needs working headphones.
Written answers
For the reasoning as well as the number. ISBE’s scoring expectations say the correct answer with no work shown or explanation provided will not receive the top score point.
The garden-bed problem and both answers are ours, written to illustrate ISBE’s public scoring expectations. They are not IAR items and we make no claim about how any real response would be scored.
Source: ISBE Math Test Scoring Expectations for Constructed Response Questions and Reference Sheets, read 31 October 2026.
What is reported
The Illinois Learning Standards for the grade, reported in four Areas of Readiness. The parent guide says the math tests focus on applying skills and concepts, multi-step problems that need abstract reasoning, and modeling real-world problems.
| Area of Readiness | What it means | Grade 3 example | Grade 6 example |
|---|---|---|---|
| Major Content | The most important grade-level concepts | Multiplication and division within 100; area and multiplication; fractions | Ratios and unit rates; dividing fractions by fractions; expressions and equations |
| Additional and Supporting Content | Supporting skills that strengthen the major work | Place value, perimeter, scaled graphs | Statistical variability, distributions, area and surface area |
| Expressing Mathematical Reasoning | Explaining thinking and why a solution makes sense | Equal groups, data tables, properties of operations | Variable relationships, positive and negative numbers |
| Modeling and Application | Solving real-world problems with numbers, symbols or models | One-step measurement and estimation problems | Percentage, ratio and signed-number problems |
Each Area of Readiness gets a gauge on the report pointing to Higher, Middle or Lower. The guide explains these compare the student with students who were proficient or approaching proficient.
A Lower on Expressing Mathematical Reasoning is the most fixable rating on the report. It usually means the math is there and the writing is not.
The parent guide says students also answered selected-response and fill-in-the-blank items, alongside the constructed responses. The Student Readiness Tool on the portal walks children through the TestNav tools and item types.
We use it once, early, so the platform is familiar; after that, lesson time goes to math.
Results
Four levels on a scale from 650 to 850: Below Proficient, Approaching Proficient, Proficient and Above Proficient. Levels 3 and 4 mean the student has demonstrated readiness for the next grade.
| Grade | Level 2 Approaching Proficient from | Level 3 Proficient from | Level 4 Above Proficient from |
|---|---|---|---|
| 3 | 705 | 732 | 781 |
| 4 | 708 | 740 | 784 |
| 5 | 709 | 740 | 782 |
| 6 | 705 | 742 | 773 |
| 7 | 712 | 745 | 781 |
| 8 | 705 | 745 | 791 |
The parent guide’s wording is direct: students at levels 3 and 4 “were proficient or above proficient and have demonstrated readiness for the next grade level/course.” Level 1 starts at 650, the bottom of the scale.
The guide adds that a scale score of 800 on one form of the grade 8 test should mean the same as 800 on any other form, which is why the cut points are fixed by grade.
A grade 6 student on 738 is four points under Proficient. In our experience the quickest gains at that distance come from finishing every unit and writing complete explanations, not from new topics.
Reports reach families through the Family Portal, which, when we read it, said the PDF student reports would be available on August 10.
Source: IAR Parent Score Report Interpretation Guide, Illinois testing portal, read 31 October 2026 from the portal.
Spring 2027
The online testing window for spring 2027 runs from March 1 to April 16, 2027. Paper testing, used only by students who need it, closes earlier, on April 2, 2027.
| Event | Dates |
|---|---|
| IAR spring 2027 testing window, online | March 1, 2027 to April 16, 2027 |
| IAR spring 2027 testing window, paper | March 1, 2027 to April 2, 2027 |
| Training administration live | December 22, 2026 |
| Manuals due in districts | January 11 to January 14, 2027 |
The manual says sections may be scheduled at any time on regular school days during the testing window, and all sections, including make-ups, must finish inside it. Because the window opens on March 1, a plan that starts after spring break is too late. Ask the school which week your child’s math units fall in.
Practice
Ours, at grade level. The starred ones want a written explanation, like a constructed-response item; the rest want a number.
| Grade | Question | Calculator? | Answer |
|---|---|---|---|
| 3 | What is 8 x 7? | No | 56 |
| 3 | Is 1/2 of a small pizza the same amount as 1/2 of a large pizza? Explain.* | No | No: the halves are of different wholes |
| 4 | Find the perimeter of a rectangle 9 cm by 14 cm. | No | 46 cm |
| 4 | Write 0.7 as a fraction and as hundredths. | No | 7/10 and 70/100 |
| 5 | What is 4.6 x 3? | No | 13.8 |
| 5 | How many 1/3-cup scoops are in 4 cups? Show your work.* | No | 12 |
| 6 | What is 15 percent of 80? | Calculator part | 12 |
| 6 | Evaluate 3x² when x = 4. | Non-calculator part | 48 |
| 7 | After 25 percent off, a jacket costs 48. Find the price before the sale and explain.* | Calculator | 64 |
| 8 | Is (2, 7) a solution of y = 3x + 1? Explain.* | Either | Yes: 3 x 2 + 1 = 7 |
The official practice items for each grade, with their answer keys, are on the Practice Items page of the Illinois portal. The portal notes they let students experience sample items in an environment like the real test. We save them for the final weeks and teach with our own problems before that.
A plan
Our plan, counted back from the start of the March 1 to April 16, 2027 window, so it begins in early January.
One equation per line, and a final sentence that answers the question with a unit. Both come straight from ISBE’s guidance.
Running out of time with easy questions unanswered at the end of a unit. Pacing practice fixes this faster than anything else.
Grade by grade
Our reading of the state’s Major Content statements for each grade.
| Grade | Put first | Then |
|---|---|---|
| 3 | All the times-table facts to 10 x 10 | Area as multiplication and unit fractions |
| 4 | Long multiplication and division with remainders | Fraction equivalence and adding fractions |
| 5 | Adding and subtracting unlike fractions | Decimal operations and volume |
| 6 | Ratios and unit rates | Dividing fractions and one-variable equations |
| 7 | Operations with negative numbers and fractions | Proportional relationships and probability |
| 8 | Linear equations and functions | Transformations and the Pythagorean Theorem |
Look at the Higher, Middle and Lower gauges on last year’s report, especially Expressing Mathematical Reasoning.
Ask the school for the week of the math units; the window is wide and schools choose.
Watch the clock at 20 and 40 minutes. If you are behind, skip ahead and come back.
Write the answer as a sentence with its unit. It takes five seconds.
The catalogue
From third-grade facts to algebra in eighth grade.
IIP / E / 01
The full grades 1 to 5 sequence.
Open the syllabusIIP / E / 02
For three calculator-free units.
Open the syllabusIIP / E / 03
Number sense for younger children.
Open the syllabusIIP / M / 01
Pre-algebra and geometry.
Open the syllabusIIP / M / 02
Contest problems for keen students.
Open the syllabusIIP / M / 03
Python for patterns and graphs.
Open the syllabusIIP / H / 01
Algebra 1 in grade 8 or 9.
Open the syllabusIIP / H / 02
Geometry to calculus.
Open the syllabusIIP / H / 03
For the Illinois junior year later on.
Open the syllabusHow lessons run
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays.
After school CT
Weekly lessons through the school year.
Weekends
Timed 60-minute units in February.
1-on-1
Explanation coaching, one answer at a time.
Sixty minutes, practised until it feels normal.
Lessons follow the grade’s Major Content.
To ISBE’s scoring expectations.
Part A and Part B practised in grades 6 and 7.
The portal practice items, for rehearsal.
A batch of 15 to 20 students, or private lessons.
Student work
Some of our students turn math into small programs; a few are on student labs.

AI and ML
An AI nutrition coach that reads what you eat and works you toward a target.

AI and ML
A chatbot that answers mathematics and programming questions, built and deployed by a student.

AI and ML
An assistant that helps a young person recognise unsafe situations online.

Web app
A weather forecasting site with live conditions for any location.
Fees
Monthly fees in US dollars and no long contract: Illinois families often start in January and stop once the April window closes.
Free first class
USD 0
no card required
Group batch
USD 100
a month, billed in US dollars
One to one
USD 150
a month, billed in US dollars
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Illinois families ask
The Illinois testing portal lists the spring 2027 online window as March 1 to April 16, 2027, and paper testing from March 1 to April 2, 2027. Schools schedule their own units inside the window.
Yes. The official Illinois testing portal, which hosts the 2027 key dates, calls it the Illinois Assessment of Readiness. It covers ELA and math in grades 3 to 8.
Three units of 60 minutes each in every grade from 3 to 8. The coordinator manual says the test is strictly timed and no additional time may be given beyond a documented extended time accommodation.
Third, fourth and fifth graders have no calculator unless it is an accommodation. Grades 6 and 7 use a four-function calculator with square root and percentage in calculator parts, and grade 8 a scientific calculator.
Level 3, Proficient, is the target the state treats as ready for the next grade. In grade 5 math, Proficient starts at 740 and Above Proficient at 782, on a scale from 650 to 850.
Level 1 Below Proficient, Level 2 Approaching Proficient, Level 3 Proficient and Level 4 Above Proficient. The parent guide says levels 3 and 4 show readiness for the next grade level or course.
On constructed-response questions, yes. ISBE's scoring expectations say a correct answer with no work or explanation will not receive the top score point, and saying you used a calculator is not enough.
In grades 5 to 8 there is an Illinois reference sheet. Grades 3 and 4 have none, even though some practice sets show one, so those formulas need to be known.
The Illinois portal's Practice Items page has items for each grade from 3 to 8 with answer keys, plus the Student Readiness Tool for the TestNav platform.
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Times are set on Central Time.
No. Modern Age Coders is a private online school and has no relationship with the Illinois State Board of Education, any district or the testing contractor. Our facts come from the state's public testing documents, each one named on this page.
Elsewhere on this site
More for Illinois parents, by grade and by city.
No reference sheet, no calculator.
The first year with a calculator part.
Functions and the scientific calculator.
Why explanations are graded.
Our Chicago page.
Our Illinois page.
Part of the guide: US state math tests by state
More guides: US gifted and selective school tests · US math placement and college readiness tests · Homeschool and school math curricula guide · US math and coding competitions guide
Start here
Share last year’s IAR report, or a photo of homework where your child had to explain an answer. Teacher and child rewrite it together, to the state’s scoring expectations, during that first lesson.
Learn how we teach, or see every course we run.
WhatsApp us · +91 91233 66161 · connect@modernagecoders.com
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