6.NOS.8 Lesson 7-4-part2 Apply Day · Set B
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7.4 · Part II

Second Practice Form · Independent Application and Spiral Review

Compare and Order Integers · Number line

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 7.4 · Part II
1Comparing & Ordering Rational Numbers
2The Structural Procedure
  1. Plot or visualize numbers on a horizontal number line
  2. Numbers further to the left are always less than numbers to the right
  3. For negatives: A negative number with a larger absolute value is smaller (-10 < -2)
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
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

    (Lesson 7.5) What are the coordinates of the origin?

    1. A(0, 0)
    2. B(1, 1)
    3. C(0, 1)
    4. D(1, 0)
    ✏️ Workspace & Solution Steps
  2. 3 GUIDED FILL
    012345678910

    Compare the new rational numbers -5 and 3.

    1. 1The number farther left is ___.
    2. 2Write the comparison: ___.
    Final answer:
  3. 4 MULTIPLE CHOICE

    On the map, a sunken lantern is at -8 m and a coral shelf is at -3 m. Which symbol makes the comparison true: -8 ___ -3 ?

    1. A<
    2. B>
    3. C=
    4. D≥
    ✏️ Workspace & Solution Steps
  4. 5 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
  5. 6 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. 7 OPEN RESPONSE

    A student says: 'Negative numbers are always less than positive numbers, so -100 is less than 1.' Is this correct? Now the student says: '-100 is less than -1 because 100 is greater than 1.' Is THIS correct? Explain the difference.

    ✏️ 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
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It