6.NOS.6 Lesson 7-2-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.2 · Part II

Supported Application · Guided Entry to Today's Problem

Rational Numbers on the Number Line · Rational number

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 7.2 · Part II
1Rational Numbers on the Number Line
2Strategy Model — step by step
  1. Find the two consecutive integers the rational number falls between
  2. Divide the segment between integers into equal parts matching the denominator
  3. Negative numbers move to the left of zero; positive numbers move to the right
3Mathematical Word Bank
  • Rational Numbers on the Number Line (Números racionales en la recta numérica) — Every rational number has one exact spot on the number line. Writing it as a fraction, a decimal, or an integer does not change where it sits.
  • Rational number (Número racional) — A number that can be written as a fraction of two integers, with a bottom number that is not zero.
  • Fraction (Fracción) — A number that shows part of a whole, like 3/4.
  • Decimal (Decimal) — A number with a dot, like 0.5, that shows a part less than one.
  • Number line (Recta numérica) — A straight line where numbers are placed in order; numbers get smaller to the left and larger to the right.
  • Equivalent (Equivalente) — Having the same value, just written a different way.
4Watch out
  • A common mistake in Rational Numbers on the Number Line is treating the numerator and denominator of a negative fraction as two separate whole numbers instead of one value between two integers — for example, plotting -3/4 by going to -3 and then counting 4 more units to the left, landing (incorrectly) at -7, instead of recognizing that -3/4 = -0.75, which sits between 0 and -1. Before you submit an answer, find the two whole numbers your value falls between, then split that space into equal parts.
  1. 1 GUIDED FILL
    012345678910

    Compare the new rational numbers -5 and 3.

    1. 1The number farther left is ___.
    2. 2Write the comparison: ___.
    Final answer:
  2. 2 GUIDED FILL
    012345678910

    Compare the new rational numbers -4.4 and 2.75.

    1. 1The number farther left is ___.
    2. 2Write the comparison: ___.
    Final answer:
  3. 3 GUIDED FILL
    012345678910

    Compare the new rational numbers -3.8 and 2.5.

    1. 1The number farther left is ___.
    2. 2Write the comparison: ___.
    Final answer:
📐 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.6 Lesson 7-2-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.2 · Part II

On-Level Application · Standard Rigor

Rational Numbers on the Number Line · Rational number

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 7.2 · Part II
1Rational Numbers on the Number Line
2The Structural Procedure
  1. Find the two consecutive integers the rational number falls between
  2. Divide the segment between integers into equal parts matching the denominator
  3. Negative numbers move to the left of zero; positive numbers move to the right
3Mathematical Word Bank
  • Rational Numbers on the Number Line (Números racionales en la recta numérica) — Every rational number has one exact spot on the number line. Writing it as a fraction, a decimal, or an integer does not change where it sits.
  • Rational number (Número racional) — A number that can be written as a fraction of two integers, with a bottom number that is not zero.
  • Fraction (Fracción) — A number that shows part of a whole, like 3/4.
  • Decimal (Decimal) — A number with a dot, like 0.5, that shows a part less than one.
  • Number line (Recta numérica) — A straight line where numbers are placed in order; numbers get smaller to the left and larger to the right.
  • Equivalent (Equivalente) — Having the same value, just written a different way.
4Watch out
  • A common mistake in Rational Numbers on the Number Line is treating the numerator and denominator of a negative fraction as two separate whole numbers instead of one value between two integers — for example, plotting -3/4 by going to -3 and then counting 4 more units to the left, landing (incorrectly) at -7, instead of recognizing that -3/4 = -0.75, which sits between 0 and -1. Before you submit an answer, find the two whole numbers your value falls between, then split that space into equal parts.
  1. 1 MULTIPLE CHOICE

    Which rational number is closest to 0 on the number line?

    1. A-1/4
    2. B0.5
    3. C-2
    4. D1.75
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Which number is farthest to the LEFT on a number line?

    1. A-1
    2. B0
    3. C-4
    4. D2
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    What is the opposite of -3/4?

    1. A3/4
    2. B-3/4
    3. C4/3
    4. D0
    Rewrite each fraction
    Work it out
    Simplify
📐 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.6 Lesson 7-2-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

7.2 · Part II

Extension & Non-Routine Application

Rational Numbers on the Number Line · Rational number

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 7.2 · Part II
1Rational Numbers on the Number Line
2The Structural Procedure
  1. Find the two consecutive integers the rational number falls between
  2. Divide the segment between integers into equal parts matching the denominator
  3. Negative numbers move to the left of zero; positive numbers move to the right
3Mathematical Word Bank
  • Rational Numbers on the Number Line (Números racionales en la recta numérica) — Every rational number has one exact spot on the number line. Writing it as a fraction, a decimal, or an integer does not change where it sits.
  • Rational number (Número racional) — A number that can be written as a fraction of two integers, with a bottom number that is not zero.
  • Fraction (Fracción) — A number that shows part of a whole, like 3/4.
  • Decimal (Decimal) — A number with a dot, like 0.5, that shows a part less than one.
  • Number line (Recta numérica) — A straight line where numbers are placed in order; numbers get smaller to the left and larger to the right.
  • Equivalent (Equivalente) — Having the same value, just written a different way.
4Watch out
  • A common mistake in Rational Numbers on the Number Line is treating the numerator and denominator of a negative fraction as two separate whole numbers instead of one value between two integers — for example, plotting -3/4 by going to -3 and then counting 4 more units to the left, landing (incorrectly) at -7, instead of recognizing that -3/4 = -0.75, which sits between 0 and -1. Before you submit an answer, find the two whole numbers your value falls between, then split that space into equal parts.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    On a number line, point P is located at -2.5. Which statement describes its location best?

    1. AAt -2
    2. BHalfway between -2 and -3
    3. CHalfway between 2 and 3
    4. DAt -3
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

    Between which two consecutive integers does −3.5 fall on a number line?

    1. A−4 and −3
    2. B−3 and −2
    3. C3 and 4
    4. D−5 and −4
    ✏️ Workspace & Solution Steps
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 3 OPEN RESPONSE

    Name three different rational numbers between -1 and 0. Write each as both a fraction and a decimal. Explain how you know they are between -1 and 0.

    ✏️ 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