Precise MJD coordinates, factor scores, skill weights, calibration evidence, and curriculum crosswalks. This reference is available to everyone and is intentionally last.
Grade 4 progression · point 5
- Likely range
- MJ 4.4–4.6
- Confidence
- 80%
A nontrivial plan using familiar mathematical ideas.
- Method selection2/3
- Reasoning depth2/3
- Novelty2/3
- Constraint management2/3
- Proof or justification2/3
Several coordinated calculations, representations, or explanation steps.
- Active time
- 5–12 minutes · typically 8
- Response
- Investigation
- Known-method steps
- 9
- Mechanical execution1/3
- Written output2/3
- Representation production1/3
- Bookkeeping1/3
Learning focus
Skills this problem practices
What a successful response demonstrates, with each skill’s share of the content rating.
Count outcomes systematically without omission or duplication
The learner can count outcomes systematically without omission or duplication. This capability is distinct from mere exposure to or isolated use of tables, lists, multiplication principle.
Readiness
Helpful prerequisites
Skills the rating assumes are already available to the learner.
Explain why a place-value addition or subtraction strategy works
The learner can explain why a place-value addition or subtraction strategy works. This capability is distinct from mere exposure to or isolated use of properties and place value.
Add within 100, including a two-digit number plus a one-digit number or multiple of ten
The learner can add within 100, including a two-digit number plus a one-digit number or multiple of ten. This capability is distinct from mere exposure to or isolated use of place value; add within 20.
Interpret two-digit numbers as tens and ones
The learner can interpret two-digit numbers as tens and ones. This capability is distinct from mere exposure to or isolated use of teen numbers as ten and ones.
External alignment
Curriculum and standards crosswalks
Approved evidence-backed locations that support discovery. They do not define the MathJewels rating.
Common Core State Standards for Mathematics2010 · 1 location
Standard components1 location · Representative: Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.
CCSS.MATH.CONTENT.7.SP.C.8.B7.SP.C.8b requires organized lists, tables, or tree diagrams to represent sample spaces; systematic counting is the narrower organizing capability.
