A beginning of year math assessment should test last year’s skills, not this year’s. Group the items by skill, three or four per skill, keep the whole thing to one class period, and leave it out of the grade book. The rest of this post explains why, then lists what to test at each grade from 1st to 5th.
Every September you inherit a rumor. Twenty-five students arrive with a grade level printed next to their names, and the grade level is a claim about what they know. Some of the claim is true. Some of it was true in May and dissolved over a summer of swimming and screens. Some of it was never true, and the child has been quietly carrying a gap since two teachers ago.
The beginning of year assessment exists to replace the rumor with information. Which makes it strange that so many of the assessments teachers are handed do the one thing an information-gathering tool must not do: they test the wrong content, score it the wrong way, and take a week to do it.
Here is a cleaner way to think about what to test, built around one principle: you are not measuring the students. You are mapping the ground you are about to build on.
Test last year’s standards. Not this year’s.
This is the decision that most beginning of year assessments get wrong, and everything else follows from it.
Testing this year’s material in September tells you nothing you did not already know. Of course they cannot do it yet; that is why the year exists. All a preview-style pretest produces is a room full of children whose first math experience of the year was failure, and a stack of near-zero scores with no diagnostic texture.
What you actually need to know is whether the floor holds. This year’s teaching stands entirely on last year’s skills: 3rd grade multiplication stands on 2nd grade addition and place value; 4th grade multi-digit work stands on 3rd grade facts; fraction operations in 5th stand on fraction meaning from 4th.
So the assessment should be a tour of last year’s standards, the specific ones this year builds on, and nothing else. When a student misses those items, you have found the exact spot where your first unit will silently fail if you do not intervene. That is the information worth a class period.
Organize by skill, because the total is useless
A score of 14 out of 20 tells you almost nothing. Which six? A child who missed six scattered items through carelessness and a child who missed all six subtraction-with-regrouping items are different teaching problems wearing the same score.
So the second design rule: the assessment is grouped into labeled skill sections, a few items per skill, and what you record is not the total but the per-skill picture. For an incoming 3rd grader, that means separate small clusters on addition and subtraction within 100 and then within 1000, place value, early arrays and equal groups, time, money, and measurement. Each cluster is its own verdict: solid, shaky, or missing.
Three or four items per skill is enough. One item can be a careless error; three misses in the same labeled section is a finding. And the labeling does half your grading for you, because you can run a finger down the page and see the profile without adding anything up.
Keep it to one sitting
There is a version of September assessment that eats the first two weeks: a battery of diagnostics, one per strand, administered while the rest of the class does filler. By the time it is graded, you have started teaching anyway, and the binder of results joins the shelf of binders of results.
A useful assessment fits in one class period, one sitting, on paper. The trade-off is real: fewer items per skill than a psychometrician would like. Accept it. You are not certifying anyone; you are deciding what to reteach in week 2 and who to pull into a small group on Tuesday. One period of signal beats two weeks of precision that arrives after the decisions were due.
One sitting also means the whole class can take it at once with no stations, no rotation schedule, and no technology, which in the second week of school is worth a great deal.
Do not grade it. Read it.
Nothing that happens in the first week should go in the grade book, and this especially. The moment the assessment carries a grade, three bad things happen: students perform anxiety instead of knowledge, parents call about a number that was never designed to be a number, and you have taught the class that in your room, not knowing something yet is punished. That is an expensive lesson to teach in week one, and it is the opposite of the one you want.
Tell the class the truth, in exactly this spirit: this does not go in the grade book, I am the one being informed here, do your honest best and skip what you have never seen. Honest blanks are data. A guessed-right answer is the only truly useless response on the page.
Then read the stack the useful way: one pass, per skill, three piles or three highlighter colors. What comes out is a map.
Most of the class solid on place value, a third shaky on regrouping, four students missing the times tables entirely. Your first month just planned itself: whole-class warm-ups aimed at the shaky third, a standing small group for the four, and no time wasted reteaching what everyone already owns.
What this looks like per grade
The recipe travels up the grades unchanged; only the skill list swaps out. In every case the question is the same: which of last year’s skills does my first semester stand on, and is each one there? The sections below list those skills for 1st through 5th grade. Each one ends with the packet we sell for that grade. The packet titles name the grade the student is going into, and the pages test the grade before it.
If you would rather not build five of these from the standards yourself, the done-for-you versions below follow this design: last year’s skills, labeled sections, one sitting, answer keys. Each one also carries a parallel Form B with all new problems, so you can re-check the shaky group a few weeks later without them having seen the questions, plus leveled reteach pages for the sections that came up missing. All five come together in the Going Into Next Grade Math Assessments Bundle, 300 pages for 1st through 5th, for $14.95. They are part of the broader starting-a-new-grade toolkit, which exists for precisely this September problem.
Beginning of the year math assessment 1st grade
A new 1st grader is tested on Kindergarten math. The skills 1st grade builds on are counting to 100 by ones and by tens, counting a group of up to 20 objects and writing the number, comparing two numbers or two groups, adding and subtracting within 10 with objects or drawings, and seeing a teen number as ten ones and some more ones.
At this age the reading is harder than the math. Read every direction aloud, keep each page to a few items with room to work, and let students answer by circling, drawing, or writing one number. Counting objects is worth checking with a few children at your table while the rest of the class works, because a written answer does not show you whether a child touched each object once.
Going Into 1st Grade Math Assessment checks the Kindergarten skills each new 1st grader brought with them. It is 43 pages and $6.95.
Beginning of year math assessment 2nd grade
A new 2nd grader is tested on 1st grade math: addition and subtraction facts within 20, with the facts within 10 close to automatic; place value as tens and ones; comparing two-digit numbers with <, >, and =; adding within 100, such as a two-digit number plus a one-digit number or a multiple of ten; telling time to the hour and half hour; and one-step word problems within 20.
Read the place value section first. 2nd grade adds and subtracts within 1000, and all of that work rests on a child seeing 47 as four tens and seven ones. A student who can count past 100 but writes 407 for forty-seven has a gap your first unit will run into.
Going Into 2nd Grade Math Assessment checks the 1st grade skills 2nd grade math stands on, with the reteach pages built in. It is 60 pages and $6.95.
Beginning of year math assessment for 3rd grade
A new 3rd grader is tested on 2nd grade math: addition and subtraction within 100 and then within 1000, place value to 1000, early arrays and equal groups, time, money, and measurement.
3rd grade spends much of its year on multiplication and division, and that work stands on two sections of this list: equal groups and arrays, and fluent addition. A student who adds slowly cannot skip count with confidence or check a product. Give those two sections the most weight when you read the results. The first week of school math activities for 3rd grade post shows where this check fits in the first five days.
Going Into 3rd Grade Math Assessment checks every 2nd grade skill an incoming 3rd grader should carry through the door. It is 65 pages and $6.95.
Beginning of the year math assessment 4th grade
A new 4th grader is tested on 3rd grade math: multiplication and division facts within 100 and what they mean, multi-digit addition and subtraction within 1000, rounding to the nearest 10 or 100, fractions as numbers on a number line, and area and perimeter.
Read the facts section first. 4th grade multiplies multi-digit numbers and divides with remainders, and every step of that work calls on a fact. A student who knows the steps but needs a long pause for each fact loses track of a four-step problem, and on paper that looks like a procedure problem when it is a facts problem.
Going Into 4th Grade Math Assessment is a week-one check of the 3rd grade skills 4th grade math depends on, with answer keys included. It is 66 pages and $6.95.
Beginning of year math assessment 5th grade
A new 5th grader is tested on 4th grade math: multi-digit multiplication, division with remainders, fraction equivalence, adding and subtracting fractions with like denominators, and decimal notation for tenths and hundredths.
Fractions carry the most weight. 5th grade adds fractions with unlike denominators and multiplies fractions, and both depend on equivalence. A student who cannot tell you that 2/3 and 4/6 are the same amount needs that fixed before the first fractions unit, not in the middle of it.
Going Into 5th Grade Math Skills Check shows which new 5th graders own 4th grade multiplication, division, and fractions. It is 66 pages and $6.95.
The quiet payoff
Here is what changes when the assessment is built this way. Around week 3, a colleague mentions that half her class apparently cannot subtract across zeros and she is discovering it mid-unit, the expensive way, inside a lesson that assumed it. You already knew. You have known since the second Friday of school, it cost one class period to find out, and the four students concerned have been meeting you at the back table for two weeks.
The rumor you inherited in September was never going to be accurate. The only question was whether you would find out on your schedule or on the curriculum’s. One period, last year’s skills, labeled sections, no grade. Find out on yours.
Frequently asked questions
What should a beginning of year math assessment for 3rd grade cover?
2nd grade math, not 3rd: addition and subtraction within 100 and within 1000, place value to 1000, equal groups and arrays, time, money, and measurement. Put three or four items in each labeled section and record a verdict per section rather than a total. Equal groups and fluent addition matter most, because 3rd grade multiplication is built on them.
Is there a 4th grade beginning of year math assessment PDF?
Going Into 4th Grade Math Assessment is a 66-page packet that checks the 3rd grade skills 4th grade math depends on, keys included, for $6.95. The free sample shows real pages from the 2nd grade packet in the same line.
How long should a beginning of year math assessment take?
One class period for the version described in this post: a few items per skill, taken by the whole class at once, on paper. Have the results read and your groups set before the second week begins.