Placement guide, math

Which level of Dimensions Math should my child start?

How Dimensions Math levels line up with school grades, how its placement test works, what to do if your child lands between two levels, and the mistakes parents most often make.

The short answer. Each grade is split into two books: A covers the first half of the school year and B the second, so 4A and 4B together make up grade 4. The publisher says the levels line up with US grades, but switching children often start a half or full level below their grade. Dimensions Math is also distinct from Singapore's Primary Mathematics series, which has its own placement tests.

Use the publisher's own placement tool to choose the level (free, PDF). If you are not sure where your child really is, or the result surprises you, check the level first: it is quicker than a wrong book.

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Dimensions Math levels and the grades they usually suit

Level	Usually suits grade	Main topics
Dimensions Math 2A and 2B	2	Numbers to 1,000, addition and subtraction with regrouping, early multiplication and division, money, time, length
Dimensions Math 3A and 3B	3	Addition and subtraction with regrouping, multiplication and division, fractions, measurement, area and perimeter
Dimensions Math 4A and 4B	4	Numbers to a million, factors and multiples, multi-digit operations, fractions, decimals, angles and shapes
Dimensions Math 5A and 5B	5	All fraction operations, decimals, ratio, percentage, volume, angles of triangles and quadrilaterals
Dimensions Math 6A and 6B	6	Fractions, decimals, negative numbers, ratio, rate, percent, expressions and equations, area and volume, data
Dimensions Math 7A and 7B	7	Pre-algebra: integers and rational numbers, algebraic expressions, linear equations and inequalities, geometry, statistics, probability
Dimensions Math 8A and 8B	8	Algebra 1 content: exponents, simultaneous and quadratic equations, functions and graphs, Pythagorean theorem, solids, data

Grades are the publisher's own guide. Many children sit a level above or below, especially after switching programs.

How Dimensions Math placement works

There is one test per half level, KA to 5B.
Each Dimensions Math test checks whether the child has mastered that half level, so a child who passes the 2A test should take the 2B test; a child who fails it starts in 2B.
Untimed, allow at least an hour.
The publisher says not to score the tests: watch how the child solves problems and where they struggle.
No tests exist for grades 6 to 8.

Open the publisher's placement page

If your child lands between two levels

Decide whether you can fill a gap while teaching or need to go back a level; with few gaps, borrow material from the earlier level for that topic. Check the scope and sequence, since the tests sample skills rather than covering every topic. For grades 6 to 8: start Dimensions Math 6 after any grade 5 program, Dimensions Math 7 after a solid grade 6, and Dimensions Math 7 rather than 8 if pre-algebra left gaps, as Dimensions Math 8 does not repeat the basics.

Problems parents often run into

Most children switching from typical US programs test below their grade; the publisher calls this common and appropriate.
Parents misread the tests: passing a test means the level is already mastered and the child should move on, the reverse of a readiness test.
The tests lean on mental math and multi-step word problems, so a child with strong arithmetic can still stumble on them.
Families sometimes place with Primary Mathematics tests, but the scope and sequence differ, so results do not transfer.
Resellers give their own percentage cut-offs, while the publisher says not to score the tests at all.

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Switching to Dimensions Math from another program

Students from another curriculum may only need part of the earlier level and can move at their own pace to catch up; resellers suggest doubling lessons for a while.
Dimensions Math 7 and 8 together cover pre-algebra and Algebra 1 with extra geometry; students who did pre-algebra elsewhere should compare it with the Dimensions Math 7 scope and sequence before choosing.
The series ends at grade 8; the publisher suggests moving on to Geometry or Algebra 2 and does not recommend a specific program.

Not just a score. Every skill, and every answer.

The score, with its honest range

Grade 4Grade 6 typicalGrade 9

744, likely range 702 to 787. A good or bad day stops looking like real movement.

Every strand, marked

Number senseStrong
FractionsWorth work
RatiosStrong
ExpressionsWorth work

Five to nine strands per subject, on one scale, so the gaps inside one score show.

Question by question

Add 2/3 and 1/4Answered 3/7. Added numerators and denominators separately, so the common denominator step is missing.

Wrong

Every wrong answer, with the most likely thinking behind it.

What to do next, in order

Common denominators
Simplifying fractions
Ratio as a comparison

Ranked by how much each skill holds the rest back, then practised in the workbook.

Get the report, $9.99 →or add the ten-week workbook built from the gaps, $19.99See the full eight-page sample report

When you don't need a whole level

A placement test answers one question: which book. If your child is mostly on track but shaky in one area, say fractions or paragraph writing, a full lower level means months of review they do not need. Practising just the gaps is faster, and keeps them in the book that fits the rest of their skills.

Questions parents ask

Is it bad if my child places below their grade?

No. Programs pace topics differently, so a lower level often reflects the order things were taught, not how able a child is. What matters is starting where the work makes sense.

Do I need a placement test at all?

If you are switching programs or your child has had a hard year, yes. Starting too high is the most common reason a new curriculum stalls in the first month.