6.AT.4 Lesson 4-3-group1 🟡 Group 1 · Support & Scaffolding
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

4.3 Small Group · Group 1

Tier 2 Intervention · Concrete-Representational-Abstract (CRA) · Dual-Language Anchors

estimate · benchmark percent · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — Approximately — the problem is asking for an estimate
1Anchor the whole at 100%, mark benchmark percents, and place the amount between the landmarks it falls beside.
  • The word approximately tells you an exact answer is not required. Benchmarks, rounding and compatible numbers get you close, fast. We'll walk through a worked example, try one together, then you'll try a few with hints right there when you need them.
2Worked Example — Watch me set up the double number line
  1. The whole is 6 GB — that is 100%.
  2. I mark the bottom line in benchmark jumps of 25%: 0%, 25%, 50%, 75%, 100%.
  3. Equivalent ratios give the top line: 25% of 6 GB is 1.5 GB, so the top reads 0, 1.5, 3, 4.5, 6.
  4. 4 GB used lands between 4.5 (75%) and 3 (50%), close to 4.5 — so about 70% of the storage is used.
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 DRAG SORT

    Sort each problem by its best benchmark percent.

    Target Categories: Use 10% (move the decimal) Use 50% (take half) Use 25% (take a quarter)
    • 8.6% of 216
    • 11% of 350
    • 48% of 90
    • 52% of 200
    • 26% of 80
    • 24% of 400
  2. 2 FILL TABLE

    Complete the benchmark table for 240.

    BenchmarkShortcutValue
    10% of 240
    1% of 240
    50% of 240
    25% of 240
    ✏️ Scratchpad / Reasoning
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 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
  2. 4 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
    1. 1Whole100% is what number?
    2. 2Find 10%Divide by 10.
    3. 3BuildAdd or multiply to the percent.
    4. 4CheckIs it under or over the whole?
  3. 5 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
  4. 6 MULTIPLE CHOICE

    To estimate 8.6% of 216 by rounding, which numbers should you use?

    1. A10% of 220
    2. B8% of 300
    3. C86% of 216
    4. D1% of 216
    ✏️ Workspace & Solution Steps
✍️ The Writing Revolution (TWR) · Sentence Expansion Because · But · So

Complete each sentence stem to demonstrate precise mathematical reasoning:

BECAUSE The ratio remains equivalent because both quantities are scaled by the exact same multiplicative factor.
BUT Two ratios may look similar, but inverting the order of terms fundamentally changes the comparison.
SO The recipe requires 3 parts flour to 2 parts water, so the unit rate is 1.5 cups of flour per cup of water.
📐 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