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

1.5 Small Group · Group 1

Second Practice Form · Re-Teach, Homework or Retake · Same Standard, New Problems

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 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    Player A had 18 points before making 10 two-pointers in a row. How many points does Player A have after the streak?

    1. A38
    2. B28
    3. C20
    4. D48
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Akela's jar totals $53.50. Why can the number of pennies only be a multiple of 5?

    1. ABecause the total's cents end in 0, and only pennies make amounts that aren't multiples of 5 cents
    2. BBecause pennies always come in rolls of 5
    3. CBecause there are exactly 5 kinds of coins in the jar
    4. DBecause $53.50 is divisible by 5
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Which combination of coins totals exactly $53.50?

    1. A200 quarters, 25 dimes, 15 nickels, 25 pennies
    2. B200 quarters, 25 dimes, 15 nickels, 20 pennies
    3. C200 quarters, 30 dimes, 15 nickels, 25 pennies
    4. D100 quarters, 25 dimes, 15 nickels, 25 pennies
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    How does a table of values check that Player A really scored 38 points?

    1. AIt lists the score after every shot, so you can see the pattern land exactly on 38
    2. BIt rounds the answer to the nearest ten
    3. CIt replaces the pattern rule so you don't need one
    4. DIt proves the answer without doing any calculations
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 5 OPEN RESPONSE

    Name a pattern you noticed in the coin values, and how it could help you count money faster.

    💬 Sentence Starter: I noticed that ___ .<br>This helps because instead of counting one at a time, I can ___ .
    ✏️ Mathematical Justification & Response
  2. 6 OPEN RESPONSE

    Where do you look for a pattern first when a problem feels too big to count?

    💬 Sentence Starter: I look for ___ .<br>A repeated calculation helps because ___ .
    ✏️ Mathematical Justification & Response
📐 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