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.
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Unit 1 Math Is Discovery, 3 labs
Lessons 1.3 & 1.4
Neighborhood Makers Market
Plan a tiny market stall. Make sensible money decisions and persuade another designer using a clear model and calculation.
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Lessons 1.5 & 1.6
Pattern Studio Collective
Build a growing pattern that a partner can continue. Share the rule, compare strategies, and revise the design together.
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Unit 2 Statistics, 7 labs
Lessons 2.1 & 2.2
The Data Newsroom
Investigate a question whose answers vary. Turn the data into an honest histogram and choose a headline the evidence supports.
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Lessons 2.3 & 2.4
The Middle Ground Observatory
Help an observatory describe a week of observations. Find the middle and show the spread with a five-number summary.
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Lesson 2.5
The Consistency Cup
Compare how spread out a team’s results are. Decide whether the range or the middle half tells the more useful story.
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Lessons 2.6 & 2.7
Delivery Dispatch
Split supplies into equal shipments. Use division, place value, and multiplication checks to prevent a delivery mistake.
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Lessons 2.8 & 2.9
Fair Share Festival
Redistribute a festival’s supplies fairly, then measure how far the original amounts were from that fair share.
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Lesson 2.10
The Outlier Investigation
A dramatic number has changed a report. Investigate which measures still describe a typical observation honestly.
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Lessons 2.11 & 2.12
Decimal Design Shop
Cost out custom designs, track spending, and catch a misplaced decimal before an order goes to production.
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Unit 3 Ratios & Rates, 6 labs
Lessons 3.1 & 3.2
Recipe Remix Radio
Mix a signature drink and price it fairly. Keep the order of ratio quantities clear and give every unit rate its units.
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Lessons 3.3 & 3.4
Ratio Railway
Connect a table, a graph, and a constant ratio. Send trains only along a route that preserves the relationship.
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Lesson 3.5
Mixture Matchup
Compare two paint recipes fairly. Decide which mixture has more color for the same amount of white paint.
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Lessons 3.6 & 3.7
World Expedition Outfitters
Translate measurements for an expedition. Keep conversion factors visible and distinguish exact conversions from approximate ones.
- 3.6 Ratio Reasoning: Convert Measurements within the Same System
- 3.7 Ratio Reasoning: Convert Measurements Between Systems
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Lesson 3.8
Best Buy Boulevard
Choose supplies for a neighborhood event. Find unit prices, compare deals, and explain when a cheaper unit price is not the whole decision.
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Lessons 3.9 & 3.10
Scale and Sail Workshop
Prepare matching model boats and full-size plans. Scale ratios consistently and convert lengths without changing the design.
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Unit 4 Percents, 3 labs
Lessons 4.1 & 4.2
Hundred-Square Studio
Create a pixel design and describe the same shaded amount as a fraction, decimal, and percent.
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Lessons 4.3 & 4.4
Sale Signals Studio
Estimate a discount before finding its exact value. Decide whether the saving and final price on a sale sign make sense.
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Lesson 4.5
The Missing Whole Bureau
Recover a missing total from a known part and percent. Use the meaning of one percent to test your answer.
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Unit 5 Area, Surface Area & Volume, 5 labs
Lessons 5.1 & 5.2
Shape-Shift Garden
Rearrange garden shapes to understand area. Track perpendicular height while you compare a parallelogram and a triangle.
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Lessons 5.3 & 5.4
Festival Floorplan
Plan a festival space made from trapezoids and smaller shapes. Decompose the floor plan so that no space is counted twice.
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Lessons 5.5 & 5.6
Packaging Workshop
Design a rectangular package, count its cubic capacity, and connect its three-dimensional form to a two-dimensional net.
- 5.5 Determine the Volume of Rectangular Prisms
- 5.6 Represent Three-Dimensional Figures in Two Dimensions
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Lessons 5.7 & 5.8
Wrap Lab
Compare the covering needed for a prism and a square pyramid. Count every face once and distinguish slant height from vertical height.
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Lessons 5.9 & 5.10
Polygon Pavilion
Plan a polygon floor and a storage box for a pavilion. Separate square-unit floor coverage from cubic-unit storage capacity.
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Unit 6 Expressions, 8 labs
Lessons 6.1 & 6.2
Fraction Food Truck
Measure servings from a supply of ingredients. Use fraction strips to see how many groups fit before using a division procedure.
- 6.1 Division Expressions with Fractions and Whole Numbers
- 6.2 Division Expressions with Fractions and Mixed Numbers
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Lessons 6.3 & 6.4
The Power Plant
Power a machine with numerical expressions. Distinguish repeated multiplication from multiplication by an exponent.
- 6.3 Explore Numerical Expressions with Exponents
- 6.4 Write and Evaluate Numerical Expressions with Exponents
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Lessons 6.5 & 6.6
Expression Remix Studio
Translate a situation into an expression, substitute values, and test whether two expressions stay equivalent.
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Lessons 6.7 & 6.8
Factor Factory
Arrange products into equal rows. Use common factors to rewrite expressions and connect arrays to the distributive property.
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Lessons 6.9 & 6.10
Ribbon Rescue
Cut ribbons into fractional lengths. Decide how many pieces fit and distinguish a fractional quotient from the number of complete pieces.
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Lesson 6.11
Fraction Field Team
Supply a field expedition with fractional quantities. Interpret the quotient in context and check whether the requested groups are possible.
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Lessons 6.12 & 6.13
Synchronization Station
Synchronize repeating signals. Break numbers into prime factors and predict when two cycles next meet.
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Lessons 6.14 & 6.15
Algebra Workshop
Unpack grouped expressions and combine matching terms. Build a visual proof that the simplified form preserves the value.
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Unit 7 Integers & the Coordinate Plane, 5 labs
Lessons 7.1 & 7.2
Elevation Expedition
Navigate above and below sea level. Represent signed measurements and use zero as a shared reference point.
- 7.1 Explore Integers and Their Opposites
- 7.2 Represent Rational Numbers and Their Opposites on the Number Line
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Lessons 7.3 & 7.4
Deep Sea Dispatch
Order underwater locations and measure distance from sea level. Keep absolute value separate from greater-than comparisons.
- 7.3 Understand Absolute Value of Rational Numbers
- 7.4 Compare and Order Integers and Rational Numbers
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Lessons 7.5 & 7.6
Coordinate Couriers
Deliver parcels on a four-quadrant city grid. Use ordered pairs and calculate distances along horizontal or vertical streets.
- 7.5 Represent Rational Numbers on the Coordinate Plane
- 7.6 Determine Distance on the Coordinate Plane
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Lessons 7.7 & 7.8
Grid Architects
Place a park in all four quadrants. Use coordinates to prove its side lengths, perimeter, and area.
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Lesson 7.9
Mirror Mission
Send a point through coordinate mirrors. Predict which coordinate changes and prove that reflected points stay equally far from the mirror.
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Unit 8 Equations & Inequalities, 4 labs
Lessons 8.1 & 8.2
The Balance Bureau
Test possible solutions and restore balance with inverse operations. Explain why the same operation belongs on both sides.
- 8.1 Understand Equations and Their Solutions
- 8.2 Write and Solve Equations Using Addition or Subtraction
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Lesson 8.3
Vault Division
Open evidence vaults by solving multiplication and division equations. A correct key must make the original equation true.
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Lessons 8.4 & 8.5
Entry Rules Arcade
Write fair entry rules for an arcade. Use inequality symbols and decide whether a boundary value is allowed.
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Lessons 8.6 & 8.7
Budget Boundaries
Plan a purchase with a limit. Solve an inequality, graph its solutions, and select a sensible whole-number decision.
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Unit 9 Two-Variable Relationships, 2 labs
Lessons 9.1 & 9.2
Variable Weather Station
Connect changing quantities through a table and graph. Explain what each variable means and how one responds to the other.
- 9.1 Explore Relationships Between Two Variables
- 9.2 Analyze Graphs of Relationships Between Two Variables
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Lessons 9.3 & 9.4
Function Food Fair
Compare fair-booth plans with starting fees and per-item costs. Write equations and use them to make a decision.
- 9.3 Write Equations to Represent Relationships Between Two Variables
- 9.4 Apply Two-Variable Relationships to Solve Problems
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Unit 10 Math Is Synthesis, 3 labs
Lessons 10.1 & 10.2
Symmetry Safari
Look for mathematical structure in nature and design. Test symmetry with evidence and connect observations to a precise representation.
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Lessons 10.3 & 10.4
Invention Playground
Use playful constraints to invent a solution. Build, test, compare strategies, and improve a design with mathematical evidence.
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Lessons 10.5 & 10.6
My Math, Next
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.
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