6.NOS.8 Lesson 7-4-group1 🟡 Group 1 · Support & Scaffolding
MASTERY CHECK
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7.4 Small Group · Group 1

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

Visual Models · Compare and Order Integers · Number line · Procedural Fluency

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — How do you compare and order integers?
1The number farther to the left is always less; the number farther to the right is always greater.
  • To compare integers means to see which one is greater or less. On a number line, numbers get bigger as you go right and smaller as you go left. 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
  1. I will compare -7 and -5. They are both negative, so I look at the number line.
  2. -7 is 7 steps left of zero. -5 is only 5 steps left of zero.
  3. -7 is farther to the left, so -7 is the smaller number.
  4. I write -7 < -5. The open side of the symbol points to the bigger number, -5.
3Mathematical Word Bank
  • Compare and Order Integers (Comparar y ordenar enteros) — Use a number line to decide which integers are greater or less and place them in order.
  • Number line (Recta numérica) — A straight line where numbers are placed in order; numbers get smaller to the left and larger to the right.
  • Compare (Comparar) — To see if a number is bigger, smaller, or equal to another.
  • Order (Ordenar) — To arrange numbers by size, from least to greatest or greatest to least.
  • Greater than (Mayor que) — The > sign, showing one number is bigger.
  • Less than (Menor que) — The < sign, showing one number is smaller.
4Watch out
  • A common mistake in Compare and Order Integers is thinking that a negative number with a bigger digit is the bigger value — for example, believing -15 is greater than -8 because 15 is greater than 8. It's the opposite for negatives: the number farther to the left on the number line (farther from zero) is always the LESSER value, so -15 < -8. Before you submit, check your comparison against the number line, not just the digits.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    Which statement is TRUE?

    1. A-3 > -1
    2. B-5 < -2
    3. C-4 > 0
    4. D-1 < -6
    ✏️ Workspace & Solution Steps
  2. 2 DRAG SORT

    Drag to order these integers from LEAST to GREATEST.

    Target Categories: Group 1 Group 2
    • 3
    • -1
    • -6
    • 0
    • -4
    • 5
  3. 3 NUMBER LINE

    Plot -3, 1, -7, 4, and -1 on the number line to help you compare them.

    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 4 MULTIPLE CHOICE

    Which integer is the LEAST: -3, 5, -8, 2, 0?

    1. A-8
    2. B-3
    3. C0
    4. D5
    ✏️ Workspace & Solution Steps
  2. 5 MULTIPLE CHOICE

    What is |−8|?

    1. A8
    2. B−8
    3. C0
    4. D−16
    ✏️ Workspace & Solution Steps
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 ERROR ANALYSIS

    Spot the Common Mistake

    1. 1Read:Compare -5 and -2. Write the comparison using > or <.
    2. 2Attempt:The student wrote -5 > -2, reasoning that 5 is bigger than 2, so -5 must be bigger than -2.
    3. 3Check:On a number line, -5 is farther LEFT than -2, so -5 is actually less. The correct comparison is -5 < -2.

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
🗣️ MATHEMATICAL DISCOURSE & TALK MOVES SMP.3 / Construct Viable Arguments

Group Discussion Prompt: How does your visual model justify your mathematical solution?

🗣️ Partner A:
Partner A: "I modeled this by identifying the relationship and..."
👂 Partner B:
Partner B: "I agree with your step because the standard mathematical rule states..."
✍️ 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