MPP.3 Lesson 10-1-group1 🟡 Group 1 · Support & Scaffolding
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

10.1 Small Group · Group 1

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

profession · inventory · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — Math is an integral part of nearly every profession
1People use math every day in their professions and their hobbies — and it is a good tool for solving problems around your house, too.
  • Chefs supervise a team of cooks preparing everything from appetizers to desserts. Watch how much of that job is quietly mathematical. 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 math in a chef's day
  1. When chefs plan menus, they determine the number of items on the menu and calculate the price point for each item.
  2. They decide on the portion size of each item and project how much food is needed for each day.
  3. They calculate how much of each ingredient to order — that is counting, measuring, and multiplying, all before a single dish is cooked.
3Mathematical Word Bank
  • profession (profesión) — A job someone is trained to do, like chef, nurse, or carpenter.
  • inventory (inventario) — The supply of items a business keeps on hand, tracked by counting.
  • portion (porción) — The measured amount of food served to one person.
  • area (área) — The amount of flat space a surface covers, measured in square units.
  • volume (volumen) — The amount of space something fills, measured in cubic units.
4Watch out
  • Believing math only 'counts' when it happens in a classroom — and walking past the calculating, measuring, and projecting inside jobs, hobbies, and chores every day.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 DRAG SORT

    Sort each gardening question: does it need area or volume?

    Target Categories: Area (square feet) Volume (cubic feet)
    • How much ground does the planter cover?
    • How much mesh covers the top against birds?
    • How much of the yard is left uncovered?
    • How much soil fills the planter?
    • How much compost fills a second, deeper planter?
    • How much water does the full rain barrel hold?
  2. 2 FILL TABLE

    Each person who rinses instead of running water saves 8 gallons a day. Complete the table.

    People in the houseThinkingGallons saved per day
    3
    5
    8
    ✏️ Scratchpad / Reasoning
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    A planter is 4 feet long and 2 feet wide. What is its area?

    1. A8 square feet
    2. B6 square feet
    3. C12 square feet
    4. D2 square feet
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
    1. 1Name itWhich measure is asked?
    2. 2Write the formulaBefore any numbers.
    3. 3SubstituteMatch each letter.
    4. 4Unitunits, sq units, or cubic?
  2. 4 MULTIPLE CHOICE

    That same planter is 4 feet long, 2 feet wide, and needs soil 1 foot deep. How much soil does the gardener need?

    1. A8 cubic feet
    2. B7 cubic feet
    3. C8 square feet
    4. D4 cubic feet
    ✏️ Workspace & Solution Steps
  3. 5 MULTIPLE CHOICE

    Leaving the water running while brushing wastes an average of 4 gallons per brushing. You brush twice a day. How much water can one person save per day by only turning the water on to rinse?

    1. A8 gallons
    2. B4 gallons
    3. C6 gallons
    4. D2 gallons
    per 1
    1. 1LabelWrite what each column is.
    2. 2Find per 1Divide to get one.
    3. 3ScaleMultiply up to what is asked.
    4. 4CheckDoes the size make sense?
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 OPEN RESPONSE

    Name one task a chef does that uses math, and say what math is inside it.

    💬 Sentence Starter: A chef uses math when they ___ .<br>The math inside it is ___ .
    ✏️ 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