5.OA.B.3 Lesson 1-5-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

1.5 · Part II

Supported Application · Guided Entry to Today's Problem

pattern · pattern rule

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 1.5 · Part II
1Math Practices: Patterns & Generalizations
2Strategy Model — step by step
  1. Organize observations into a table of values
  2. Identify the constant change or rule connecting inputs to outputs
  3. Write a general rule or expression to predict future terms
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 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
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 2 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. 3 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
5.OA.B.3 Lesson 1-5-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

1.5 · Part II

On-Level Application · Standard Rigor

pattern · pattern rule

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 1.5 · Part II
1Math Practices: Patterns & Generalizations
2The Structural Procedure
  1. Organize observations into a table of values
  2. Identify the constant change or rule connecting inputs to outputs
  3. Write a general rule or expression to predict future terms
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.
  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
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

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

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It
5.OA.B.3 Lesson 1-5-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

1.5 · Part II

Extension &amp; Non-Routine Application

pattern · pattern rule

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 1.5 · Part II
1Math Practices: Patterns & Generalizations
2The Structural Procedure
  1. Organize observations into a table of values
  2. Identify the constant change or rule connecting inputs to outputs
  3. Write a general rule or expression to predict future terms
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

    If both players kept their streaks going, after how many MORE shots would Player B tie Player A?

    1. A2 more shots
    2. B1 more shot
    3. CThey can never tie
    4. D10 more shots
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    A sei whale measures 4.5 meters at birth and grows about 2.5 centimeters each day. About how many days until it reaches 15 meters?

    1. AAbout 420 days
    2. BAbout 600 days
    3. CAbout 42 days
    4. DAbout 4.2 days
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 3 OPEN RESPONSE

    Write a generalization about ANY player who makes n shots in a row worth p points each, starting from s points. Then test it on Player A.

    ✏️ 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
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It