5.OA.B.3 Lesson 1-5-part2 Apply Day · Set B
MASTERY CHECK
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1.5 · Part II

Second Practice Form · Independent Application and Spiral Review

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

    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
  2. 2 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
  3. 3 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
  4. 4 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
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 5 OPEN RESPONSE

    Use the multiple-of-5 pattern to find a DIFFERENT combination of coins that totals $53.50. Show that it works.

    ✏️ Mathematical Justification & Response
  2. 6 OPEN RESPONSE

    The lesson says we 'evaluate the reasonableness of solutions as we work and make adjustments.' Describe a moment solving the coin-jar problem where you would stop and adjust.

    ✏️ Mathematical Justification & Response
  3. 7 OPEN RESPONSE

    Use the multiple-of-5 pattern to find a DIFFERENT combination of coins that totals $53.50. Show that it works.

    ✏️ 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