6.NOS.8 Lesson 7-4-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.4 · Part II

Supported Application · Guided Entry to Today's Problem

Compare and Order Integers · Number line

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 7.4 · Part II
1Comparing & Ordering Rational Numbers
2Strategy Model — step by step
  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.
  1. 1 MULTIPLE CHOICE

    (Lesson 7.3) What is the absolute value of -9?

    1. A9
    2. B-9
    3. C0
    4. D1
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    (Lesson 7.3) Which integer has the GREATEST absolute value: -3, 7, -5, 2?

    1. A7
    2. B-5
    3. C-3
    4. D2
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    (Lesson 7.5) Which ordered pair names a point 3 units right and 7 units up from the origin?

    1. A(3, 7)
    2. B(7, 3)
    3. C(3, 3)
    4. D(0, 7)
    ✏️ Workspace & Solution Steps
📐 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
6.NOS.8 Lesson 7-4-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.4 · Part II

On-Level Application · Standard Rigor

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.
  1. 1 MULTIPLE CHOICE

    Three cities have temperatures of -12°F, -5°F, and 3°F. Which city is warmest?

    1. A3°F
    2. B-5°F
    3. C-12°F
    4. DThey are equal
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Four spots: -3 m, 2 m, -7 m, 0 m. Order them from least to greatest.

    1. A-7, -3, 0, 2
    2. B-3, -7, 0, 2
    3. C2, 0, -3, -7
    4. D-7, -3, 2, 0
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Three buried chests sit at -9 m, -4 m, and -15 m below sea level. Which chest is at the GREATEST elevation (closest to the surface)?

    1. A-4 m
    2. B-9 m
    3. C-15 m
    4. DThey are equal
    ✏️ Workspace & Solution Steps
📐 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
6.NOS.8 Lesson 7-4-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.4 · Part II

Extension &amp; Non-Routine Application

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.
  1. 1 MULTIPLE CHOICE

    Order these numbers from LEAST to GREATEST: −2, 1.5, −4.5, 0, 3.

    1. A−4.5, −2, 0, 1.5, 3
    2. B−2, −4.5, 0, 1.5, 3
    3. C3, 1.5, 0, −2, −4.5
    4. D−4.5, −2, 0, 3, 1.5
    ✏️ Workspace & Solution Steps
📐 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