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

1.1 Small Group · Group 1

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

doer of math · math story · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — We are all doers of math
1Everyone uses math daily. We do it differently, and sharing how we do it makes all of us better at it.
  • Before any new mathematics, the book asks a different question: where does math already live in your day? 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 estimate the Ferris wheel
  1. The Ferris wheel has 20 cars, and about 4 people fit in each car. About how many people can ride at one time?
  2. I count the cars: 20. Then I estimate how many riders fit in one car: about 4.
  3. I do not count every person — an estimate is a reasoned answer that is close enough to be useful.
  4. 20 × 4 = 80, so I would say “about 80 people.”
3Mathematical Word Bank
  • doer of math (persona que hace matemáticas) — Anyone who uses mathematical thinking — which is everyone, every day.
  • math story (historia matemática) — Your own history with mathematics — what you have done, felt, and learned so far.
  • strength (fortaleza) — Something you already do well and can share with others.
  • decompose (descomponer) — To break a number into parts that add, subtract, multiply, or divide back to it.
  • estimate (estimar) — A reasoned answer that is close enough to be useful, without counting every one.
4Watch out
  • Believing that 'doing math' only counts when it happens on paper in a classroom.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 DRAG SORT

    Sort each thought by the kind of thinking it shows.

    Target Categories: Doer-of-math thinking Stuck thinking
    • I can't do this... yet.
    • Mistakes give my brain information.
    • Let me look for a different entry point.
    • An estimate first will help me check my answer.
    • I'm just not a math person.
    • If it's hard, I should quit.
    • There is only one right way to solve it.
    • Being fast is the same as being smart.
  2. 2 FILL TABLE

    Use mental math to complete each Ferris wheel estimate.

    SituationEstimateAnswer
    20 cars, each holding about 4 riders
    About 80 riders each turn, 6 turns in an hour
    About 480 riders each hour, for 2 hours
    ✏️ Scratchpad / Reasoning
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    About how many people can ride the Ferris wheel at one time if it has 20 cars that each hold about 4 people?

    1. AAbout 80
    2. BAbout 24
    3. CAbout 5
    4. DAbout 400
    ✏️ Workspace & Solution Steps
  2. 4 MULTIPLE CHOICE

    Which of these is a correct way to decompose 78.5?

    1. A70 + 8.5
    2. B70 + 8.05
    3. C78 + 5
    4. D7 + 8.5
    ✏️ Workspace & Solution Steps
  3. 5 MULTIPLE CHOICE

    Another correct decomposition of 78.5 is:

    1. A80 − 1.5
    2. B80 − 2.5
    3. C75 − 3.5
    4. D80 + 1.5
    ✏️ Workspace & Solution Steps
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 OPEN RESPONSE

    Name one way you used math outside of school this week.

    💬 Sentence Starter: I used math when I ___ .<br>It was math because I had to ___ .
    ✏️ Mathematical Justification & Response
✍️ 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