5.OA.B.3 Lesson 1-5-group1 🟡 Group 1 · Support & Scaffolding
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

1.5 Small Group · Group 1

Tier 2 Intervention · Concrete-Representational-Abstract (CRA) · Dual-Language Anchors

pattern · pattern rule · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — When we do math, we look for patterns and relationships
1We use the patterns and relationships we notice to solve problems, make generalizations, and check that our solutions are reasonable.
  • The value of each coin is a pattern. Noticing patterns — and the calculations that repeat — lets us solve problems we could never solve by counting one coin at a time. We'll walk through a worked example, try one together, then you'll try a few with hints right there when you need them.
2Worked Example — Watch me find the coin patterns
  1. A change jar is full of pennies, nickels, dimes, and quarters worth $53.50 in total. How many of each coin could there be?
  2. Each penny has a value of $0.01, so 100 pennies have a value of $1.00.
  3. Each nickel has a value of $0.05, so 100 nickels have a value of $5.00. Each dime has a value of $0.10, so 100 dimes have a value of $10. Each quarter has a value of $0.25, so 100 quarters have a value of $25.
  4. I multiply the number of each coin by its value. And I notice a generalization: because the jar's total, $53.50, ends in 0, the number of pennies can only be a multiple of 5.
3Mathematical Word Bank
  • pattern (patrón) — Something that repeats or changes in a predictable way.
  • pattern rule (regla del patrón) — The instruction that tells how to get from one number in a pattern to the next.
  • generalization (generalización) — A statement that is true for a whole pattern, made by noticing repeated calculations.
  • table of values (tabla de valores) — A table that lists each step of a pattern so you can check that a solution is reasonable.
  • reasonableness (sensatez del resultado) — Whether an answer makes sense — checked as you work, with adjustments made when needed.
4Watch out
  • Reporting only the points from the streak (20 or 30) and forgetting to add the points each player had before the streak began.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 DRAG SORT

    Sort each pattern: add the same amount, or multiply by the same amount?

    Target Categories: Add the same amount each time Multiply by the same amount each time
    • 4, 6, 8, 10, ...
    • 18, 20, 22, 24, ...
    • 4.5, 7.0, 9.5, 12.0, ...
    • 2, 4, 8, 16, ...
    • 1, 3, 9, 27, ...
    • 5, 50, 500, 5000, ...
  2. 2 FILL TABLE

    Player A starts with 18 points and makes two-pointers. Complete the table.

    Two-pointers madeRule: 18 + 2 × shotsTotal points
    1
    5
    10
    ✏️ Scratchpad / Reasoning
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    Each penny has a value of $0.01. What is the value of 100 pennies?

    1. A$1.00
    2. B$0.10
    3. C$10.00
    4. D$100.00
    ✏️ Workspace & Solution Steps
  2. 4 MULTIPLE CHOICE

    Each quarter has a value of $0.25. Following the pattern, what is the value of 100 quarters?

    1. A$25.00
    2. B$2.50
    3. C$250.00
    4. D$100.25
    ✏️ Workspace & Solution Steps
  3. 5 MULTIPLE CHOICE

    Player A scores a two-pointer on every shot. What is Player A's pattern rule?

    1. AAdd 2
    2. BAdd 3
    3. CMultiply by 2
    4. DAdd 18
    ✏️ Workspace & Solution Steps
  4. 6 MULTIPLE CHOICE

    Player B had 6 points, then made 10 three-pointers in a row. How many points does Player B have now?

    1. A36
    2. B16
    3. C30
    4. D9
    ✏️ Workspace & Solution Steps
✍️ The Writing Revolution (TWR) · Sentence Expansion Because · But · So

Complete each sentence stem to demonstrate precise mathematical reasoning:

BECAUSE The mathematical model proves the solution because each step preserves quantitative equivalence.
BUT An estimate provides a quick benchmark, but an exact proof is required for precision.
SO The quantities follow the standard rule, so the final result is verified with certainty.
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
Starter: My mathematical claim is that the solution is...
E Evidence
Starter: The evidence from the model/table demonstrates that...
R Reasoning
Starter: This proves my answer because the standard mathematical definition of...
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It