MPP.7 Lesson 10-2-group1 🟡 Group 1 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

10.2 Small Group · Group 1

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

symmetric · mirror image · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — Math creates beautiful designs in nature
1Bilateral symmetry — two sides that are mirror images — appears throughout nature, and it shapes human creations from art to music to architecture.
  • Look closely at a butterfly's wings, then at how a plant grows its leaves. The same mathematical idea keeps appearing. 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 symmetry in a butterfly
  1. I look at the two sides of the butterfly, and they look like mirror images — the butterfly is symmetric.
  2. All butterflies have reflective symmetry. In plants and animals, this is called bilateral symmetry.
  3. To show it, I draw a line down the middle of the butterfly's body: everything on the left is reflected on the right.
3Mathematical Word Bank
  • symmetric (simétrico) — Having two halves that match — one side is a mirror image of the other.
  • mirror image (imagen reflejada) — A copy of a figure flipped across a line, so the two halves face each other.
  • bilateral symmetry (simetría bilateral) — Reflective symmetry in plants and animals — the two sides of the body mirror each other.
  • line of symmetry (eje de simetría) — The line you can draw through a figure so each side is a reflection of the other.
  • balance (equilibrio) — An even, steady arrangement — neither side feels heavier than the other.
4Watch out
  • Thinking a figure lacks bilateral symmetry just because its line of symmetry is not vertical — the mirror line can run in any direction, and the test is whether the two sides match across it.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    How can you SHOW that a layer of two leaves has bilateral symmetry?

    1. ADraw a line down the middle of the layer and check that each side mirrors the other
    2. BCount the total number of leaves on the plant
    3. CMeasure how tall the plant is
    4. DColor the two leaves different colors
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Why do people find symmetry pleasing?

    1. AOur brains are wired to favor balance, and bilateral symmetry provides balance
    2. BSymmetric things are always brightly colored
    3. CSymmetry only appears in rare and expensive objects
    4. DSymmetric shapes are always larger than non-symmetric ones
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    There are over 17,000 species of butterflies, and ALL butterflies have reflective symmetry. About how many of those species have reflective symmetry?

    1. AAll 17,000+ of them
    2. BAbout half of them
    3. COnly the most colorful ones
    4. DNone — symmetry is only in plants
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    A plant grows 2 leaves at a time, one layer per week. How many leaves has it grown after 6 weeks?

    1. A12 leaves
    2. B8 leaves
    3. C6 leaves
    4. D36 leaves
    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 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 5 OPEN RESPONSE

    Name one animal besides a butterfly that has bilateral symmetry.

    💬 Sentence Starter: A ___ has bilateral symmetry.<br>Its line of symmetry runs ___ .
    ✏️ Mathematical Justification & Response
  2. 6 OPEN RESPONSE

    Are the two leaves in a real plant layer EXACTLY symmetric? Why might this be?

    💬 Sentence Starter: The leaves are ___ exactly symmetric.<br>This might be 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