Grade 3 · Level 27 · Foundational mastery
MATH 27
The year of facts.
Meridian Note
The year of facts. Multiplication and division facts are driven KS-4 to KS-5 by spaced repetition; fractions advance from partitioned shapes (KS-2) to fractions as numbers on the number line (KS-3–4). Multi-step word problems begin genuine KS-7 work for addition and subtraction — concepts introduced two levels earlier.
The Fix Registry
Skills of This Course
Every skill is pinned to the meridian by fix notation — where along the scale, and at what depth. The highlighted state is this course's target: the state an honest instrument must certify before the skill counts as covered here.
| Skill | Fixes | Target at Level 27 |
|---|---|---|
| Multiplication facts | 27-KS539-KS750-KS10 | KS-5Retained |
| Division facts | 27-KS550-KS10 | KS-5Retained |
| Fractions as numbers | 27-KS439-KS660-KS9 | KS-4Recalled |
| Area & perimeter | 27-KS539-KS7 | KS-5Retained |
| Multi-step word problems | 27-KS750-KS8 | KS-7Applied |
| Graphing & data interpretation | 27-KS539-KS7 | KS-5Retained |
Course of Instruction
Units
Unit 1.Multiplication: Equal Groups and Arrays
7 practice itemsThis is the year you learn your multiplication facts — all of them. But first you need to know what multiplication really *is*. It is not magic. It is just a fast way to count equal groups. Once you see that, every fact makes sense, and the tricks in this unit will help you remember them for life.
MatchingMultiple choiceFill in the blankMultiple choice (misconception distractors)Short answer
Unit 2.Division: Sharing, Grouping, and Fact Families
7 practice itemsDivision is multiplication's partner. Multiplication puts equal groups together; division breaks a total into equal groups. If you know your multiplication facts, you already know your division facts — you just have to see how they connect.
MatchingMultiple choiceFill in the blankMultiple choice (misconception distractors)Short answer
Unit 3.Fractions Are Numbers Too
7 practice itemsYou have seen fractions as pizza slices and folded paper. This year you learn the big idea: a fraction is a **number**. It lives on the number line between the whole numbers, just as real as 1 or 2. Once you see fractions as numbers, you can compare them, order them, and use them everywhere.
MatchingMultiple choiceFill in the blankShort answer
Unit 4.Area and Perimeter
7 practice itemsHow much fence goes around a garden? How much carpet covers a floor? These are two different questions with two different measurements: perimeter and area. In this unit you learn what each one means, and you discover why multiplication — your new superpower — measures area so fast.
MatchingMultiple choiceFill in the blankMultiple choice (misconception distractors)Short answer
Unit 5.Multi-Step Word Problems
7 practice itemsReal problems almost never take just one step. To find out if you have enough money for two toys, you add the prices AND subtract from what you have. This unit teaches you to solve problems that take two or more steps — and how to keep your thinking organized so you never get lost.
Multiple choiceShort answerProblem solvingTransfer problemFind the flaw
Unit 6.Graphs and Data: Pictures That Answer Questions
7 practice itemsA graph is a picture of information. One good graph can answer a question faster than a whole page of numbers. In this unit you learn to read bar graphs, pictographs, and tally charts — and to watch out for the sneaky key that tells you what each picture is worth.
MatchingMultiple choiceFill in the blankMultiple choice (misconception distractors)Short answer