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

10.2 Small Group · Group 1

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

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 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    What does it mean that a butterfly is symmetric?

    1. AThe two sides of the butterfly look like mirror images
    2. BThe butterfly has exactly two wings
    3. CThe butterfly's wings are very colorful
    4. DThe butterfly is larger than most insects
    ✏️ Workspace & Solution Steps
  2. 2 DRAG SORT

    Sort each figure by whether it has a line of symmetry.

    Target Categories: Has a line of symmetry No line of symmetry
    • A butterfly with open wings
    • The letter A
    • A square
    • A valentine heart
    • The letter F
    • The letter J
    • The letter R
    • A flag shape like the letter P
  3. 3 FILL TABLE

    How many lines of symmetry does each figure have?

    FigureThink about the foldsLines of symmetry
    Square
    Rectangle (not a square)
    Equilateral triangle
    The letter H
    ✏️ Scratchpad / Reasoning
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 4 MULTIPLE CHOICE

    In plants and animals, reflective symmetry is called:

    1. Abilateral symmetry
    2. Brotational symmetry
    3. Ca mirror image
    4. Dbalance
    ✏️ Workspace & Solution Steps
  2. 5 MULTIPLE CHOICE

    A plant grows in layers, and each layer is made up of 2 leaves. How many leaves does the plant have after growing 4 layers?

    1. A8 leaves
    2. B6 leaves
    3. C16 leaves
    4. D4 leaves
    ✏️ Workspace & Solution Steps
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 OPEN RESPONSE

    Where have you seen symmetry before? Name one place and describe it.

    💬 Sentence Starter: I have seen symmetry in ___ .<br>The two sides ___ .
    ✏️ 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