CRACK THE TEST CO. | 6.RP.A.2 | 7.RP.A.1 | 8.EE.B.5 | Louisiana LEAP | Crack the Problem Method | AI Literacy

Here is the problem most students have with unit rates:
Sixth graders flip the ratio and get the unit rate backwards. Seventh graders multiply by the fraction instead of its reciprocal and never realize the error. Eighth graders see the equation y = 3.10x and have no idea the slope IS the unit rate. Every single one of those students then types the whole problem into an AI tool, copies the answer, and learns nothing. This bundle fixes all three grade-level gaps in one spiral scaffold — and teaches students how to actually use AI to build understanding instead of bypass it.
LEAP Connection
Unit rate reasoning threads through the Louisiana LEAP from 6th through 8th grade — appearing in proportional relationship tables, two-part comparison tasks, and constructed response problems that require students to compare rates represented in different formats (table, graph, equation). The 3-point CR in this bundle mirrors that exact format.
Code Card 1 — Grade 6 Entry: Unit Rate from Ratios (6.RP.A.2)
Students build a math terms table (ratio, rate, unit rate, denominator, equivalent) using a Louisiana crawfish vendor anchor. Numbers-first worked example: Marcus drives 120 miles in 3 hours. AI Prompt Rule 1: tell the AI what you already know before you ask your question.
Code Card 2 — Grade 7 Core: Unit Rates with Fraction Denominators (7.RP.A.1)
The reciprocal method using a Baton Rouge food truck festival earnings problem. Students learn the #1 misconception (multiplying by the fraction instead of flipping it) and practice AI prompts that share their wrong answer and ask what they did wrong — without requesting the correct answer.
Code Card 3 — Grade 8 Extension: Unit Rate as Slope (8.EE.B.5)
Comparing two proportional relationships — one from a table, one from an equation — using a Louisiana gas price context. Students learn that slope = unit rate = m in y = mx, and practice advanced AI verification: Does the AI’s explanation match my textbook? Can I now solve this without AI?
What’s Included (17+ Pages)
∙ Lesson Plan Pages 1-3: Standards for all three grade bands + AI Literacy, 5-block instructional sequence with teacher/student columns, 3-tier differentiation, assessment plan
∙ Code Cards 1-3: Grade-banded spiral scaffold — each card builds directly on the previous, with math terms tables, worked examples, and AI Prompt Starters
∙ Teacher Worked Example: Louisiana oil rig production problem, full 4-step method, comparing table vs. equation unit rates, Good vs. Bad AI Prompts side by side
∙ Selected Response: 4 questions spanning all three grade bands with built-in AI Prompt Starter frames
∙ Multiple Select: 6 YES/NO statements including higher price = better deal misconception and AI trust misconception
∙ Two-Part Dependent: Atchafalaya shrimp boat comparison — Part A unit rate with fraction denominator, Part B connect to slope equation
∙ Two-Part Independent: Students identify and rewrite a bad AI prompt (Brianna’s prompt fix)
∙ Constructed Response: 3-point rubric, Baton Rouge refinery comparison problem (table vs. equation)
∙ Answer Keys 9A and 9B: Misconception explanations including the reciprocal error and slope misreading
∙ Task Cards 1-8: Grade-banded (6, 7, 8, challenge) with AI Prompt Starter on every card
∙ Self-Check Answer Cards 1-8: Includes verify-yourself prompts and one card where the AI answer was wrong
∙ Google Forms Guide: 6 points total — Q1-Q3 at 1pt each, Q4 CR at 3pts
Standards Alignment
∙ 6.RP.A.2 — Unit rate from ratios, rate language (Type I)
∙ 7.RP.A.1 — Unit rates with fraction denominators (Type I, II)
∙ 8.EE.B.5 — Unit rate as slope, compare proportional relationships (Type II, III)
∙ AI Literacy — Step-specific prompting, error identification, independent verification
Who This Is For
∙ Teachers whose 7th graders multiply by the fraction instead of flipping it — every single time
∙ Teachers whose 8th graders cannot connect the slope of a graph to a unit rate in a table
∙ Teachers who need one resource that works for differentiated classrooms spanning grades 6, 7, and 8
∙ Teachers whose students use AI tools to skip thinking instead of scaffold it
∙ Teachers who need a print-or-digital no-prep bundle with a built-in 3-point LDOE-aligned CR rubric