TIM’S TEACHERS

Math by Standards

We use the Common Core State Standards (CCSS) to pinpoint strengths and gaps, then align lessons, quizzes, and post-tests to each standard for clear growth.

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What is Common Core Math?

The Common Core State Standards (CCSS) describe what students should understand and be able to do in math at each grade level. The structure builds year to year so students develop conceptual understanding, procedural fluency, and real-world application.

Domains

Big idea areas (e.g., OA, NBT, NF, MD, G, …) that repeat and deepen across grades.

Clusters

Related groups of skills inside a domain (e.g., 3.NF.A “Develop understanding of fractions as numbers”).

Standards

The specific teachable skills (e.g., 3.NF.A.1 “Understand a fraction 1/b as one part of…”).

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Understanding the Codes

A typical code looks like 3.NF.A.1:

3 = Grade 3
NF = Domain (Number & Operations—Fractions)
A = Cluster letter in that domain
.1 = Specific standard number in the cluster

We use these codes on diagnostics, quizzes, and reports so families can see exactly which skills are mastered.

Common Domain Abbreviations

OA — Operations & Algebraic Thinking

NBT — Number & Operations in Base Ten

NF — Number & Operations—Fractions

MD — Measurement & Data

G — Geometry

RP — Ratios & Proportional Relationships (6–7)

NS — The Number System (6–8)

EE — Expressions & Equations (6–8)

F — Functions (8)

SP — Statistics & Probability (6–8)

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How We Assess & Teach by Standard

1) Grade Diagnostic
Checks every grade-level standard; results flag each code as Mastered / Developing / Not Yet.
2) Targeted Pre-Quizzes
Short, 3–6 questions per standard to reconfirm weak skills before instruction.
3) Standard-Aligned Lessons
Concept → Model → Guided practice → Independent practice with spiral review.
4) Post-Quizzes
Same standard, new items. Confirms mastery; triggers quick reteach if needed.
5) Cluster Checks
Mix the standards inside a cluster (e.g., 3.NF.A) to verify transfer/retention.
6) Grade Post-Test
End-of-cycle assessment; compare growth to the diagnostic for each code.

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Examples by Standard

A) 3.NF.A.1 — Unit Fractions & Meaning

Grade 3, Fractions: understand 1/b as one of b equal parts; locate on number lines.

Pre-Quiz: Shade 1/4; point to 1/3 on a number line.
Instruction: area models, number lines, precise language (“one-third”).
Post-Quiz: Write a fraction for shaded parts; place 2/4 on a number line.
Cluster Check: 3.NF.A (A.1–A.3) including equivalence with visuals.
Grade Post-Test: new contexts (recipes, tape diagrams).

B) 4.OA.A.3 — Multistep Word Problems

Solve multistep whole-number problems; interpret remainders in context.

Pre-Quiz: 214 students, buses hold 48 → how many buses? What does remainder mean?
Instruction: choose operations, equations, tape diagrams, remainder meaning.
Post-Quiz: 82 oranges, 9 per box → boxes needed? interpret remainder.
Cluster Check: 4.OA.A (A.1–A.3).
Grade Post-Test: mixed scenarios with constraints.

C) 5.NBT.A.1 — Place-Value Relationships

A digit to the left is 10× the value; to the right is 1/10 the value.

Pre-Quiz: Compare the value of “6” in 640 vs 6,400.
Instruction: place-value charts, powers of ten, language of magnitude.
Post-Quiz: Compare the digit 3 in 53,060 and 5,306.
Cluster Check: 5.NBT.A (A.1–A.4).
Grade Post-Test: measurement conversions & science data.

Ready to Pinpoint the Right Skills?

Start with a CCSS-aligned diagnostic, then see steady progress through standard-level pre-quizzes, instruction, post-quizzes, cluster checks, and a final grade post-test.

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