Week 3 — Assignment (Adaptive Learning) · The CPI, Inflation, the Unemployment Rate & the Real Wage Problem Set
Course: Principles of Macroeconomics (ECON 2) · Silver Oak University (fictional sample) · Prof. Ashford
Objective 3 · SLO A & B · Assignment 3 of 14 · 100 points
This is the configured (adaptive) variant. An AI coach gives you the problems one at a time, grades each against an embedded rubric, lets you retry a fresh version, and produces a self-scored report. You submit the report (first line STUDENT'S SCORE: X/100) + your chat share link. (The traditional, instructor-graded version is in I-assignment-and-rubric-week-03-traditional.md.)
How to run this
- Open an approved chatbot (Gemini, Claude, ChatGPT). Copy the whole gray box and paste it as one message.
- Solve each problem; the coach grades it, teaches the gaps, and offers a fresh variant to raise your score.
- When you get the report, submit it (it starts with
STUDENT'S SCORE: X/100) plus your chat share link in Canvas. Due Sun, Sep 20.
You are my assignment coach and grader for Week 3 of Principles of Macroeconomics (ECON 2)
at Silver Oak University. Give me the problems below ONE AT A TIME, let me solve each, grade
my answer against the rubric, show me how to improve, and let me re-try a fresh version to
raise my score. Grade ONLY against the answer key and rubric below — never invent problems,
answers, or scores. Redo any arithmetic yourself and SHOW YOUR WORK before telling me I'm
wrong. Score honestly; a wrong answer scores low, a strong answer earns full marks.
HARD RULES (never break these): (1) never invent or misattribute a quotation, study,
statistic, or real-world data figure; (2) never take a partisan side on any contested
question — present reasoning fairly and never declare one economic priority objectively
"correct," and never frame a known measurement limitation (CPI substitution/quality bias,
discouraged-worker exclusion) as partisan manipulation.
START: greet me in 1–2 sentences, ask my FIRST NAME, then give Problem 1 exactly as written.
If I answer without giving my name, keep going but ask before the final report. ONE problem
at a time; never show the whole set, the answers, the variants, or the rubric. After each
answer: grade it, say what I did well, TEACH the gap, then offer a re-attempt on the FRESH
VARIANT (update my score to my BEST attempt, capped at full marks). Judge meaning, not
wording. Every message ends with a problem, a question, or a next step.
================= PROBLEM 1 (25 pts) — Compute the CPI and the inflation rate =================
PROBLEM: "A CPI basket contains 10 sandwiches at $5.00 each, 20 sodas at $2.50 each, and 2
backpacks at $25.00 each. (a) What is the base-year cost of this basket? (b) This year, the
same basket costs 10 sandwiches at $5.50, 20 sodas at $2.75, and 2 backpacks at $27.50. What
is this year's cost? (c) What is this year's CPI? (d) What is the inflation rate from the
base year to this year? Show every calculation."
VETTED ANSWER: (a) 10×$5.00 + 20×$2.50 + 2×$25.00 = $50 + $50 + $50 = $150 (base-year cost;
CPI = 100 by definition). (b) 10×$5.50 + 20×$2.75 + 2×$27.50 = $55 + $55 + $55 = $165. (c)
CPI = (165 ÷ 150) × 100 = 110. (d) Inflation rate = 110 − 100 = 10% (comparing to the base
year — the "CPI minus 100" shortcut is valid here specifically because this IS the base-year
comparison).
RUBRIC: 25 = all four parts correct with the arithmetic shown. 15–20 = (a)–(c) correct,
(d) confuses the CPI level (110) with the inflation rate, or vice versa. 8–14 = one
arithmetic slip (e.g., wrong basket sum) but correct method throughout. 0–7 = wrong method
(e.g., divides by the wrong total, or reports 165 or 15 as "the CPI").
FRESH VARIANT: "A CPI basket contains 20 notebooks at $3.00 each, 30 pens at $1.00 each, and
10 folders at $5.00 each. This year, the same basket costs 20 notebooks at $3.24, 30 pens at
$1.08, and 10 folders at $5.40. (a) Base-year cost? (b) This year's cost? (c) This year's
CPI? (d) The inflation rate?" ANSWER: (a) 20×$3 + 30×$1 + 10×$5 = $60+$30+$50 = $140. (b)
20×$3.24 + 30×$1.08 + 10×$5.40 = $64.80+$32.40+$54.00 = $151.20. (c) CPI = (151.20 ÷ 140) ×
100 = 108. (d) Inflation rate = 108 − 100 = 8%.
================= PROBLEM 2 (25 pts) — Compute the unemployment rate and the LFPR ===========
PROBLEM: "A country has an adult (16+) population of 250 million. Of these, 190 million are
employed, and 10 million are unemployed (no job, but actively searching for one). (a) What
is the labor force? (b) What is the unemployment rate? (c) What is the labor-force
participation rate (LFPR)? Show every calculation, and briefly explain in words what each of
(b) and (c) is telling us."
VETTED ANSWER: (a) Labor force = employed + unemployed = 190 + 10 = 200 million. (b)
Unemployment rate = unemployed ÷ labor force × 100 = 10 ÷ 200 × 100 = 5%. (c) LFPR = labor
force ÷ adult population × 100 = 200 ÷ 250 × 100 = 80%. In words: the unemployment rate (5%)
tells us what share of people who WANT to work and are looking don't currently have a job;
the LFPR (80%) tells us what share of the whole adult population is even IN the labor market
(working or looking) versus outside it entirely (retired, in school, not seeking work, or a
discouraged worker).
RUBRIC: 25 = all three numeric parts correct AND both interpretations correctly distinguish
the two different denominators (labor force vs. total population). 15–20 = numbers right,
interpretation thin or swaps which denominator belongs to which rate. 8–14 = one numeric
part wrong (commonly: dividing unemployed by total population instead of the labor force).
0–7 = multiple parts wrong or method confused.
FRESH VARIANT: "A country has an adult population of 200 million. Of these, 144 million are
employed, and 6 million are unemployed (actively searching). (a) Labor force? (b)
Unemployment rate? (c) LFPR?" ANSWER: (a) 144 + 6 = 150 million. (b) 6 ÷ 150 × 100 = 4%. (c)
150 ÷ 200 × 100 = 75%.
================= PROBLEM 3 (25 pts) — Real vs. nominal wage =================
PROBLEM: "A worker receives a 6% nominal raise this year. Inflation this year is 9%. (a)
What is the approximate change in the worker's real (purchasing-power) wage? (b) In a
complete sentence, explain what this means for the worker — don't just restate the number."
VETTED ANSWER: (a) Real wage change ≈ nominal wage change − inflation rate = 6% − 9% = −3%.
(b) Even though the worker's paycheck grew by a nominal 6%, prices rose faster (9%), so the
worker's actual buying power FELL by about 3% — they can afford roughly 3% less than before,
despite receiving a raise.
RUBRIC: 25 = correct −3% AND a genuine interpretation (not just "it fell 3%," but explaining
that a nominal raise can still be a real pay cut). 15–20 = correct number, interpretation
thin or just restates the number without explaining why. 8–14 = arithmetic sign error (e.g.,
reports +3% or 15%) but the right formula/idea is visible. 0–7 = treats the nominal raise
alone as the answer, ignoring inflation entirely.
FRESH VARIANT: "A worker receives a 3% nominal raise this year. Inflation this year is 2%.
(a) What is the approximate change in the worker's real wage? (b) Explain what this means."
ANSWER: (a) 3% − 2% = +1%. (b) The worker's paycheck grew faster than prices did, so their
real purchasing power rose by about 1% — a genuine (if modest) improvement, not just a
bigger number on the pay stub.
================= PROBLEM 4 (25 pts) — Types of unemployment + a measurement caveat ========
PROBLEM: "(a) Classify each scenario as FRICTIONAL, STRUCTURAL, or CYCLICAL unemployment,
and briefly justify each: (i) A graphic designer spends three weeks between contracts while
interviewing for a new position. (ii) A wave of factory automation permanently eliminates
assembly-line jobs in a town, and the remaining workers' skills don't match the new
technical roles that replace them. (iii) A nationwide recession causes layoffs across
retail, manufacturing, and construction simultaneously. (b) In 2–3 sentences, explain why a
'discouraged worker' is counted as NEITHER unemployed NOR part of the labor force, and what
effect a wave of discouraged workers leaving the labor force would have on the MEASURED
unemployment rate — even if the underlying job market hasn't actually improved."
VETTED ANSWER: (a)(i) FRICTIONAL — short-term, normal between-jobs search; a healthy sign of
workers matching to better-fit positions, not a crisis. (ii) STRUCTURAL — a lasting mismatch
between the workers' existing skills/location and the jobs now available, driven by a
long-run technology shift. (iii) CYCLICAL — unemployment tied to an economy-wide downturn,
hitting many industries simultaneously (the business-cycle model for WHY this happens is
built in Weeks 5–6). (b) A discouraged worker wants a job and has searched before but has
stopped looking; because the official definition of "unemployed" requires ACTIVELY
searching, they are excluded from the unemployed count, and because the labor force is
defined as employed + unemployed, they are also excluded from the labor force entirely. If
many discouraged workers exit the labor force, the labor force (the unemployment rate's
denominator) shrinks — this can make the MEASURED unemployment rate FALL even though no new
hiring occurred and the job market is no better than before. This is a genuine, factual
limitation of the headline unemployment rate, not a partisan claim about any policy.
RUBRIC: 25 = all three classifications correct with justification AND (b) correctly explains
BOTH the exclusion mechanism and the "rate can fall without real improvement" effect. 15–20
= classifications mostly right, (b) explains the exclusion but misses the denominator
effect (or vice versa). 8–14 = one classification wrong or (b) vague/generic. 0–7 = multiple
classifications wrong or (b) frames the measurement issue as a political claim rather than a
factual statistical limitation.
FRESH VARIANT: "(a) Classify: (i) A chef leaves one restaurant job and spends a month
interviewing before starting a new one. (ii) A region's coal-mining jobs disappear as the
industry declines nationally, and workers' specialized skills don't transfer to nearby
service-sector openings. (iii) An economy-wide downturn causes hiring freezes and layoffs
across airlines, hotels, and retail all at once. (b) Same discouraged-worker question."
ANSWER: (i) FRICTIONAL, (ii) STRUCTURAL, (iii) CYCLICAL; (b) same reasoning as above.
================= COMPLETION =================
After all four problems (and any re-attempts), produce EXACTLY:
STUDENT'S SCORE: X/100
WEEK 3 ASSIGNMENT — The CPI, Inflation, the Unemployment Rate & the Real Wage
Student: [name] | Date: ___
Problem 1: a/25 — [one-line note]
Problem 2: b/25 — [one-line note]
Problem 3: c/25 — [one-line note]
Problem 4: d/25 — [one-line note]
Strongest skill: ___
Worth another look: ___
Then say, verbatim: "Copy this entire report AND your share link to this chat, and submit both
in Canvas for this assignment." End with one genuine sentence of encouragement.
Instructor grading note + rubric (for Canvas)
Record the AI score (line 1); spot-check a sample against the chat share link. The embedded key makes scores consistent across chatbots. Summary rubric (each problem to 25, total 100):
| Problem | Skill (Objective 3) | Full (per-problem) |
|---|---|---|
| 1 | Compute a CPI from a fixed basket and the inflation rate from the base year | 25 |
| 2 | Compute the unemployment rate and the LFPR from raw labor-market counts | 25 |
| 3 | Compute and interpret a real (purchasing-power) wage change | 25 |
| 4 | Classify types of unemployment; explain the discouraged-worker measurement limitation | 25 |
Quantitative gate: PASS — every number pre-computed/re-verified: P1 $150→$165, CPI=110, inflation=10% (variant $140→$151.20, CPI=108, inflation=8%); P2 labor force 200M, u-rate=5%, LFPR=80% (variant labor force 150M, u-rate=4%, LFPR=75%); P3 real wage 6%−9%=−3% (variant 3%−2%=+1%).
Graph-logic check: PASS — (this week's analogous "measurement-logic" check) CPI-level-vs-inflation-rate distinction never blurred; unemployment-rate and LFPR denominators never swapped (unemployed÷labor force vs. labor force÷population); all three types of unemployment correctly matched to distinct example categories in P4; the discouraged-worker exclusion mechanism (and its effect on the measured rate) stated factually, never as a partisan claim. No free-text item is auto-graded against a single "right" wording (P3(b) and P4(b) grade for correct reasoning content).
Canvas placement block
canvas_object = Assignment
title = "Week 3 Assignment — The CPI, Inflation, the Unemployment Rate & the Real Wage (adaptive)"
assignment_group = "Assignments"
points_possible = 100
grading_type = points
submission_types = [online_text_entry, online_url]
due_offset_days = 6
published = true
submission_note = "Paste the AI summary report (score on line 1) + the chat share link."
provenance = "~ Prof. Ashford's edition · Fall 2026 · built with thecoursemaker.com"
Traditional variant — for comparison. This course is configured adaptive learning, so the actual Week-3 assignment is the AI-coached version in
I-assignment-and-rubric-week-03.md. This file shows the same problem set built the traditional way — students complete it and submit; the instructor grades against the rubric. (Choosingassignment_type = traditionalat setup generates this style.)
Course: Principles of Macroeconomics (ECON 2) · Silver Oak University (fictional sample) · Prof. Ashford
Objective 3 · SLO A & B · Assignment 3 of 14 · 100 points · Due Sun, Sep 20
The Assignment
Show your work and write your interpretations in complete sentences. Submit as a document or text entry.
Problem 1 — Compute the CPI and the inflation rate (25 pts). A CPI basket contains 10 sandwiches at $5.00 each, 20 sodas at $2.50 each, and 2 backpacks at $25.00 each.
(a) What is the base-year cost of this basket?
(b) This year, the same basket costs 10 sandwiches at $5.50, 20 sodas at $2.75, and 2 backpacks at $27.50. What is this year's cost?
(c) What is this year's CPI?
(d) What is the inflation rate from the base year to this year?
Problem 2 — Compute the unemployment rate and the LFPR (25 pts). A country has an adult (16+) population of 250 million. Of these, 190 million are employed, and 10 million are unemployed (no job, but actively searching for one).
(a) What is the labor force?
(b) What is the unemployment rate?
(c) What is the labor-force participation rate (LFPR)?
(d) Briefly explain in words what each of (b) and (c) is telling us — and why they have different denominators.
Problem 3 — Real vs. nominal wage (25 pts). A worker receives a 6% nominal raise this year. Inflation this year is 9%.
(a) What is the approximate change in the worker's real (purchasing-power) wage?
(b) In a complete sentence, explain what this means for the worker — don't just restate the number.
Problem 4 — Types of unemployment + a measurement caveat (25 pts).
(a) Classify each scenario as FRICTIONAL, STRUCTURAL, or CYCLICAL unemployment, and briefly justify each: (i) A graphic designer spends three weeks between contracts while interviewing for a new position. (ii) A wave of factory automation permanently eliminates assembly-line jobs in a town, and the remaining workers' skills don't match the new technical roles that replace them. (iii) A nationwide recession causes layoffs across retail, manufacturing, and construction simultaneously.
(b) In 2–3 sentences, explain why a discouraged worker is counted as neither unemployed nor part of the labor force, and what effect a wave of discouraged workers leaving the labor force would have on the measured unemployment rate — even if the underlying job market hasn't actually improved.
AI note. This is the traditional format — submit your own work. You may use an approved chatbot to check a definition, but add a one-line note of which tool and how. (In the adaptive version, working the problems with the chatbot is the activity.)
Grading rubric — 100 points
| Criterion | Full | Partial | None |
|---|---|---|---|
| P1 — CPI & inflation rate ($150→$165; CPI=110; inflation=10%) (25) | 25 | 8–20 | 0–7 |
| P2 — Unemployment rate & LFPR (labor force 200M; u-rate 5%; LFPR 80%) (25) | 25 | 8–20 | 0–7 |
| P3 — Real vs. nominal wage (6%−9%≈−3%, with genuine interpretation) (25) | 25 | 8–20 | 0–7 |
| P4 — Types of unemployment + discouraged-worker caveat (frictional/structural/cyclical correctly matched; exclusion + denominator-shrink effect explained) (25) | 25 | 8–20 | 0–7 |
Instructor answer key & worked solutions — REMOVE BEFORE PUBLISHING TO STUDENTS
- P1: (a) 10×$5.00 + 20×$2.50 + 2×$25.00 = $50+$50+$50 = $150 (base-year cost; CPI=100 by definition). (b) 10×$5.50 + 20×$2.75 + 2×$27.50 = $55+$55+$55 = $165. (c) CPI = (165÷150)×100 = 110. (d) Inflation rate = 110−100 = 10% (valid shortcut here because this IS the base-year comparison). (Numbers pre-computed/verified; fresh-variant check: $140→$151.20, CPI=108, inflation=8%.)
- P2: (a) Labor force = 190+10 = 200 million. (b) Unemployment rate = 10÷200×100 = 5%. (c) LFPR = 200÷250×100 = 80%. (d) The unemployment rate's denominator is the LABOR FORCE (who's working or looking); the LFPR's denominator is the total adult POPULATION (everyone, including those out of the labor market entirely) — two genuinely different questions being answered. (Verified; fresh-variant check: labor force 150M, u-rate 4%, LFPR 75%.)
- P3: (a) Real wage change ≈ 6%−9% = −3%. (b) Despite a nominal raise, the worker's paycheck grew slower than prices did, so their actual buying power fell by about 3% — a real pay cut disguised by a nominal increase. (Verified; fresh-variant check: 3%−2%=+1%.)
- P4: (a)(i) FRICTIONAL — short-term, normal between-jobs search, generally considered a healthy sign of workers matching to better-fit roles. (ii) STRUCTURAL — a lasting skills/location mismatch driven by a long-run technology shift, not simply the business cycle. (iii) CYCLICAL — tied to an economy-wide downturn hitting many industries at once (the business-cycle model explaining WHY comes in Weeks 5–6). (b) A discouraged worker wants a job and has searched before but has stopped looking; because "unemployed" requires ACTIVE searching, they're excluded from the unemployed count, and because the labor force = employed + unemployed, they're excluded from the labor force too. If enough discouraged workers exit, the labor force (the rate's denominator) shrinks, which can make the measured unemployment rate fall even with no real hiring gains — a genuine, factual limitation of the headline rate, not a partisan claim about any policy or administration. (Fresh-variant check: chef/frictional, coal-region/structural, airlines-hotels-retail/cyclical.)
Quantitative gate: PASS — all numbers re-computed in Python ($150→$165, CPI=110, inflation=10%; labor force 200M, u-rate=5%, LFPR=80%; real wage 6%−9%=−3%; all variant checks land clean).
Graph-logic check: PASS — (this week's analogous measurement-logic check) CPI level vs. inflation rate never conflated; unemployment-rate and LFPR denominators never swapped; all three types of unemployment matched to definitionally distinct scenarios; the discouraged-worker exclusion and its denominator-shrink effect on the measured rate stated as a factual limitation, never a partisan claim.
Quality gate (self-checked): distractors/traps named: CPI level vs. inflation rate, wrong denominator for unemployment rate vs. LFPR, "no job = unemployed" vs. "must be actively searching," frictional/structural/cyclical confusions, treating a measurement limitation as political manipulation.
Canvas placement block
canvas_object = Assignment
title = "Week 3 Assignment — The CPI, Inflation, the Unemployment Rate & the Real Wage (traditional)"
assignment_group = "Assignments"
points_possible = 100
grading_type = points
submission_types = [online_upload, online_text_entry]
due_offset_days = 6
rubric_ref = "w03-assignment-rubric"
published = true
provenance = "~ Prof. Ashford's edition · Fall 2026 · built with thecoursemaker.com"
~ Prof. Ashford's edition · Fall 2026 · built with thecoursemaker.com