6.AT.4 Lesson 4-3-part2 Apply Day · Set B
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4.3 · Part II

Second Practice Form · Independent Application and Spiral Review

estimate · benchmark percent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 4.3 · Part II
1Estimating Percents of Numbers
2The Structural Procedure
  1. Use benchmark percents: 10% (move decimal left 1), 1% (move left 2), 50% (half), 25% (quarter)
  2. Combine benchmarks (e.g. 15% = 10% + 5%; 75% = 50% + 25%)
  3. Round numbers to compatible values for quick mental estimates
3Mathematical Word Bank
  • estimate (estimación) — A reasoned answer that is close enough to be useful, found without exact computation.
  • benchmark percent (porcentaje de referencia) — A friendly percent — 1%, 10%, 25%, 50%, 75%, 100% — used as a landmark for estimating.
  • compatible numbers (números compatibles) — Numbers close to the originals that are easy to compute with mentally.
  • double number line (recta numérica doble) — Two parallel number lines that pair amounts with their percents at the same positions.
  • the whole (el todo) — The quantity that counts as 100% in a problem — and it can change between questions.
4Watch out
  • Keeping the same whole for every question — when the problem says 'of the used storage,' the whole changes from 6 GB to 4 GB, and estimates anchored to the old whole are wrong before any arithmetic happens.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    (Lesson 4.1) What does the word percent mean?

    1. APer hundred
    2. BPer ten
    3. CPer thousand
    4. DPer part
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

    (Lesson 4.1) 3 out of every 10 students walk to school. What percent is that?

    1. A30%
    2. B3%
    3. C10%
    4. D13%
    ✏️ Workspace & Solution Steps
  2. 3 MULTIPLE CHOICE

    Estimate 24% of 81 with benchmarks.

    1. AAbout 20
    2. BAbout 40
    3. CAbout 8
    4. DAbout 2
    ✏️ Workspace & Solution Steps
  3. 4 MULTIPLE CHOICE

    Your estimate for 8.6% of 216 was 22 pounds (using 10% of 220). Is the exact answer higher or lower than 22?

    1. ALower, because both 10% and 220 rounded UP
    2. BHigher, because rounding always shrinks the answer
    3. CExactly 22
    4. DImpossible to tell
    ✏️ Workspace & Solution Steps
  4. 5 MULTIPLE CHOICE

    A store marks a $79.95 item 32% off. Which mental estimate best checks the discount?

    1. AAbout one third of 80, so about $26 off
    2. BAbout 32 dollars off, because 32% means $32
    3. CAbout 3.2 dollars off
    4. DAbout half of 80, so $40 off
    ✏️ Workspace & Solution Steps
  5. 6 MULTIPLE CHOICE

    Margaret's phone has 6 GB of storage and 4 GB is used. About what percent is used?

    1. AAbout 70%
    2. BAbout 40%
    3. CAbout 25%
    4. DAbout 150%
    ✏️ Workspace & Solution Steps
  6. 7 MULTIPLE CHOICE

    On the double number line for 6 GB, what amount lines up with 25%?

    1. A1.5 GB
    2. B2.5 GB
    3. C1.25 GB
    4. D4 GB
    0%50%100%
    Work
  7. 8 MULTIPLE CHOICE

    Which benchmark percents make good landmarks on a number line?

    1. A0%, 25%, 50%, 75%, 100%
    2. B3%, 17%, 62%, 94%
    3. COnly 50%
    4. DOnly 100%
    ✏️ Workspace & Solution Steps
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 9 OPEN RESPONSE

    Write your own estimation problem about percent, using a real situation from your life. Then solve it with a benchmark and say whether your estimate runs high or low.

    ✏️ 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