6.AT.2
Lesson 3-8-part2
Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice
3.8 · Part II
Second Practice Form · Independent Application and Spiral Review
Unit Rate Problem Solving · Unit Rate
■ ADVANCED CONCEPT ANCHOR: 3.8 · Part II
1Solving Problems with Unit Rates
2The Structural Procedure
- Find the unit rate by dividing total cost by quantity
- Compare unit rates to determine the best deal
- Multiply unit rate by desired quantity to calculate total cost
3Mathematical Word Bank
- Unit Rate Problem Solving (Resolución de problemas con tasas unitarias) — Find an amount per 1 unit and use it to compare choices or solve a problem.
- Unit Rate (Tasa unitaria) — A rate for just 1 of something, like cost for 1 item.
- Better Buy (Mejor compra) — The choice that costs less for each item.
- Comparison (Comparación) — Looking at two or more amounts to see how they are related.
- Per Unit (Por unidad) — For each single item.
- Rate (Tasa) — A ratio comparing two amounts with different units, like miles per hour.
4Watch out
- A common mistake in Solve Problems with Unit Rates is comparing the total prices instead of the cost per item — the deal with the smaller total can still cost more per unit. Always reduce each option to its unit rate before you decide, then pick the lower one.
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1 MULTIPLE CHOICE
(Lesson 4.4) What is 20% of 150?
- A30
- B20
- C35
- D75
Work -
2 MULTIPLE CHOICE
(Lesson 4.4) What is 50% of 84?
- A42
- B50
- C34
- D168
Work -
3 MULTIPLE CHOICE
The delivery van brings arcade supplies 150 miles in 3 hours. What is the unit rate in miles per hour?
- A50 miles per hour
- B45 miles per hour
- C153 miles per hour
- D30 miles per hour
per 1 -
4 MULTIPLE CHOICE
The ticket counter sells redemption tickets two ways: 8 tickets for $2.00 or 15 tickets for $3.00. Which costs less per ticket?
- A15 tickets for $3.00 — $0.20 each
- B8 tickets for $2.00 — $0.25 each
- CThey cost the same per ticket
- DCannot determine
✏️ Workspace & Solution Steps -
5 MULTIPLE CHOICE
Which is the better buy: 6 bouncy balls for $4.50 or 10 bouncy balls for $8.00?
- A6 for $4.50 — $0.75 each
- B10 for $8.00 — $0.80 each
- CThey cost the same per ball
- DNot enough information
✏️ Workspace & Solution Steps -
6 MULTIPLE CHOICE
A faucet drips 15 ounces of water in 5 minutes. What is the unit rate?
- A3 ounces per minute
- B5 ounces per minute
- C15 ounces per minute
- D0.33 ounces per minute
per 1 -
7 MULTIPLE CHOICE
A printer prints 42 pages in 6 minutes. How many pages does it print in 15 minutes at the same rate?
- A105 pages
- B90 pages
- C70 pages
- D120 pages
✏️ 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.