6.NOS.6 Lesson 7-2-part2 Apply Day · Set B
MASTERY CHECK
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7.2 · Part II

Second Practice Form · Independent Application and Spiral Review

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 GUIDED FILL
    012345678910

    Compare the new rational numbers -3.2 and 2.25.

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

    Compare the new rational numbers -2.6 and 2.

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

    The first trail marker sits between 0 and 1. Which rational number belongs there?

    1. A3/4
    2. B1.5
    3. C-1/2
    4. D2
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    Order these three trail markers from least to greatest: -1.5, 0.5, -0.5.

    1. A-1.5, -0.5, 0.5
    2. B0.5, -0.5, -1.5
    3. C-0.5, -1.5, 0.5
    4. D-1.5, 0.5, -0.5
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    Which list of numbers is ordered from LEAST to GREATEST?

    1. A3, 0, -2, -5
    2. B-2, -5, 0, 3
    3. C-5, -2, 0, 3
    4. D0, -2, 3, -5
    ✏️ Workspace & Solution Steps
  6. 6 MULTIPLE CHOICE

    Which point is located between -1 and -2 on the number line?

    1. A-0.5
    2. B-1.5
    3. C-2.5
    4. D1.5
    ✏️ Workspace & Solution Steps
  7. 7 MULTIPLE CHOICE

    Which fraction is equivalent to 0.25?

    1. A1/4
    2. B1/2
    3. C2/5
    4. D1/3
    ✏️ Workspace & Solution Steps
  8. 8 MULTIPLE CHOICE

    Where is -3/4 located on the number line?

    1. ABetween 0 and -1
    2. BBetween -3 and -4
    3. CBetween -1 and -2
    4. DBetween 0 and 1
    ✏️ 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