Lessons 1.1 & 1.2
The Everyday Math Detective Agency
Find the mathematics hiding in everyday decisions. Build an estimate, test a strategy, and explain why another person could reason differently.
Finale: Case Closed + Connection Quest
Make something. Test an idea. Explain what changed.
46 different labs connect all 84 lessons. Each has worked examples, a hands-on investigation, three practice levels, a creation challenge, and two games.
Start with Learn, then choose Support, Core, or Stretch. Progress stays in this browser. Work with a partner or independently; allow 35β55 minutes, or split a lab across two lessons.
Lessons 1.1 & 1.2
Find the mathematics hiding in everyday decisions. Build an estimate, test a strategy, and explain why another person could reason differently.
Finale: Case Closed + Connection Quest
Lessons 1.3 & 1.4
Plan a tiny market stall. Make sensible money decisions and persuade another designer using a clear model and calculation.
Finale: Market Day + Connection Quest
Lessons 1.5 & 1.6
Build a growing pattern that a partner can continue. Share the rule, compare strategies, and revise the design together.
Finale: Pattern Relay + Connection Quest
Lessons 2.1 & 2.2
Investigate a question whose answers vary. Turn the data into an honest histogram and choose a headline the evidence supports.
Finale: Headline Hunt + Connection Quest
Lessons 2.3 & 2.4
Help an observatory describe a week of observations. Find the middle and show the spread with a five-number summary.
Finale: Observatory Signals + Connection Quest
Lessons 2.5
Compare how spread out a teamβs results are. Decide whether the range or the middle half tells the more useful story.
Finale: Precision Tournament + Connection Quest
Lessons 2.6 & 2.7
Split supplies into equal shipments. Use division, place value, and multiplication checks to prevent a delivery mistake.
Finale: Dispatch Desk + Connection Quest
Lessons 2.8 & 2.9
Redistribute a festivalβs supplies fairly, then measure how far the original amounts were from that fair share.
Finale: Fair Share Challenge + Connection Quest
Lessons 2.10
A dramatic number has changed a report. Investigate which measures still describe a typical observation honestly.
Finale: Evidence Verdict + Connection Quest
Lessons 2.11 & 2.12
Cost out custom designs, track spending, and catch a misplaced decimal before an order goes to production.
Finale: Receipt Rescue + Connection Quest
Lessons 3.1 & 3.2
Mix a signature drink and price it fairly. Keep the order of ratio quantities clear and give every unit rate its units.
Finale: Remix Requests + Connection Quest
Lessons 3.3 & 3.4
Connect a table, a graph, and a constant ratio. Send trains only along a route that preserves the relationship.
Finale: Signal Switch + Connection Quest
Lessons 3.5
Compare two paint recipes fairly. Decide which mixture has more color for the same amount of white paint.
Finale: Color Commission + Connection Quest
Lessons 3.6 & 3.7
Translate measurements for an expedition. Keep conversion factors visible and distinguish exact conversions from approximate ones.
Finale: Border Crossing + Connection Quest
Lessons 3.8
Choose supplies for a neighborhood event. Find unit prices, compare deals, and explain when a cheaper unit price is not the whole decision.
Finale: Shopping List Sprint + Connection Quest
Lessons 3.9 & 3.10
Prepare matching model boats and full-size plans. Scale ratios consistently and convert lengths without changing the design.
Finale: Harbor Launch + Connection Quest
Lessons 4.1 & 4.2
Create a pixel design and describe the same shaded amount as a fraction, decimal, and percent.
Finale: Pixel Passport + Connection Quest
Lessons 4.3 & 4.4
Estimate a discount before finding its exact value. Decide whether the saving and final price on a sale sign make sense.
Finale: Sale Sign Rescue + Connection Quest
Lessons 4.5
Recover a missing total from a known part and percent. Use the meaning of one percent to test your answer.
Finale: Total Recovery + Connection Quest
Lessons 5.1 & 5.2
Rearrange garden shapes to understand area. Track perpendicular height while you compare a parallelogram and a triangle.
Finale: Garden Mosaic + Connection Quest
Lessons 5.3 & 5.4
Plan a festival space made from trapezoids and smaller shapes. Decompose the floor plan so that no space is counted twice.
Finale: Floorplan Fit + Connection Quest
Lessons 5.5 & 5.6
Design a rectangular package, count its cubic capacity, and connect its three-dimensional form to a two-dimensional net.
Finale: Packing Puzzle + Connection Quest
Lessons 5.7 & 5.8
Compare the covering needed for a prism and a square pyramid. Count every face once and distinguish slant height from vertical height.
Finale: Wrap-Off + Connection Quest
Lessons 5.9 & 5.10
Plan a polygon floor and a storage box for a pavilion. Separate square-unit floor coverage from cubic-unit storage capacity.
Finale: Pavilion Planner + Connection Quest
Lessons 6.1 & 6.2
Measure servings from a supply of ingredients. Use fraction strips to see how many groups fit before using a division procedure.
Finale: Lunch Rush + Connection Quest
Lessons 6.3 & 6.4
Power a machine with numerical expressions. Distinguish repeated multiplication from multiplication by an exponent.
Finale: Power Sequence + Connection Quest
Lessons 6.5 & 6.6
Translate a situation into an expression, substitute values, and test whether two expressions stay equivalent.
Finale: Remix Match + Connection Quest
Lessons 6.7 & 6.8
Arrange products into equal rows. Use common factors to rewrite expressions and connect arrays to the distributive property.
Finale: Factory Sort + Connection Quest
Lessons 6.9 & 6.10
Cut ribbons into fractional lengths. Decide how many pieces fit and distinguish a fractional quotient from the number of complete pieces.
Finale: Ribbon Run + Connection Quest
Lessons 6.11
Supply a field expedition with fractional quantities. Interpret the quotient in context and check whether the requested groups are possible.
Finale: Supply Drop + Connection Quest
Lessons 6.12 & 6.13
Synchronize repeating signals. Break numbers into prime factors and predict when two cycles next meet.
Finale: Signal Sync + Connection Quest
Lessons 6.14 & 6.15
Unpack grouped expressions and combine matching terms. Build a visual proof that the simplified form preserves the value.
Finale: Workshop Rebuild + Connection Quest
Lessons 7.1 & 7.2
Navigate above and below sea level. Represent signed measurements and use zero as a shared reference point.
Finale: Summit Signals + Connection Quest
Lessons 7.3 & 7.4
Order underwater locations and measure distance from sea level. Keep absolute value separate from greater-than comparisons.
Finale: Depth Decoder + Connection Quest
Lessons 7.5 & 7.6
Deliver parcels on a four-quadrant city grid. Use ordered pairs and calculate distances along horizontal or vertical streets.
Finale: Courier Routes + Connection Quest
Lessons 7.7 & 7.8
Place a park in all four quadrants. Use coordinates to prove its side lengths, perimeter, and area.
Finale: Park Builder + Connection Quest
Lessons 7.9
Send a point through coordinate mirrors. Predict which coordinate changes and prove that reflected points stay equally far from the mirror.
Finale: Mirror Maze + Connection Quest
Lessons 8.1 & 8.2
Test possible solutions and restore balance with inverse operations. Explain why the same operation belongs on both sides.
Finale: Balance Breakout + Connection Quest
Lessons 8.3
Open evidence vaults by solving multiplication and division equations. A correct key must make the original equation true.
Finale: Vault Sequence + Connection Quest
Lessons 8.4 & 8.5
Write fair entry rules for an arcade. Use inequality symbols and decide whether a boundary value is allowed.
Finale: Gatekeeper + Connection Quest
Lessons 8.6 & 8.7
Plan a purchase with a limit. Solve an inequality, graph its solutions, and select a sensible whole-number decision.
Finale: Budget Quest + Connection Quest
Lessons 9.1 & 9.2
Connect changing quantities through a table and graph. Explain what each variable means and how one responds to the other.
Finale: Forecast Route + Connection Quest
Lessons 9.3 & 9.4
Compare fair-booth plans with starting fees and per-item costs. Write equations and use them to make a decision.
Finale: Fairground Face-Off + Connection Quest
Lessons 10.1 & 10.2
Look for mathematical structure in nature and design. Test symmetry with evidence and connect observations to a precise representation.
Finale: Safari Match + Connection Quest
Lessons 10.3 & 10.4
Use playful constraints to invent a solution. Build, test, compare strategies, and improve a design with mathematical evidence.
Finale: Inventors Challenge + Connection Quest
Lessons 10.5 & 10.6
Explore a pattern beyond the first few cases and tell the story of your mathematical growth. Make a claim, test it, and name your next question.
Finale: Next Frontier + Connection Quest