EduWonderLab · An interactive Grade 6 series
Every issue starts with a mystery. Follow the crew through a living harbor, read the clues in the art, and use mathematics to decide what happens next.
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8STORY ARC 01 · 6.DS
A harbor brief has collapsed a week of measurements into one frightening number. The crew has to decide which questions, displays, and measures the evidence can actually support.
Statistics and Data Displays
ISSUE 01The Data FilesLessons 2.1–2.2
Commissioner Rudd wants the harbor brief to say the air is unsafe. Mara will not print a headline until the question is statistical and the histogram can carry it.
ISSUE 02The Data FilesLessons 2.3–2.4
Seven nights of sky clarity can be summarized without averaging yet. Theo needs a median and a box plot before the observatory will reopen the dome.
ISSUE 03The Data FilesLesson 2.5
Two crews claim the steadier hand. Range makes one look chaotic. The interquartile range tells a different, fairer story.
ISSUE 04The Data FilesLessons 2.6–2.7
The data crew is stuck behind a division problem: equal kits from a whole-number crate, then a decimal fuel log that must check by multiplication.
ISSUE 05The Data FilesLessons 2.8–2.9
Volunteer hours look uneven until they are redistributed into a mean. Mean absolute deviation then shows which desk stayed close to that fair share.
ISSUE 06The Data FilesLesson 2.10
One broken probe drags the mean far from the week everyone actually measured. The crew has to choose a measure that still describes a typical day.
ISSUE 07The Data FilesLessons 2.11–2.12
The print shop's invoice adds, subtracts, and multiplies decimals as if the point were decoration. One corrected receipt keeps the brief in print.
STORY ARC 02 · 6.AT
The harbor locks, railway, and outfitters all depend on pairs that must scale together. Someone has been changing only one quantity.
Ratios and Rates
ISSUE 08The Ratio RealmLessons 3.1–3.2
A tide gate is supposed to mix fresh water and salt water in the ratio 3 to 5. The wheel has been scaling only one of the two quantities.
ISSUE 09The Ratio RealmLessons 3.3–3.4
Trains may leave only when a table and a graph describe the same equivalent ratios. One plotted point is a polite lie.
ISSUE 10The Ratio RealmLesson 3.5
Two paint recipes cannot be judged by which can is larger. The crew compares blue per liter of white and restores the buoy color.
ISSUE 11The Ratio RealmLessons 3.6–3.7
Theo's crew converts lengths inside the customary system, inside the metric system, and then across them with a stated factor.
ISSUE 12The Ratio RealmLesson 3.8
Two jar prices look like a race toward the lowest unit rate. The storage limit makes the cheaper rate the wrong purchase.
ISSUE 13The Ratio RealmLessons 3.9–3.10
A 1-to-20 model of the tide gate has to stay proportional, and its lengths have to be converted before the basin test.
STORY ARC 03 · 6.AT
Lantern Row is papered with percent signs that do not describe the same amount. The crew follows one honest hundred-square until the missing whole order reappears.
Percents
ISSUE 14The Discount ConspiracyLessons 4.1–4.2
A shop on Lantern Row shades 40 lanterns out of 100 and calls the same picture 4 percent, 0.04, and 'almost half.' The crew makes one amount wear three true names.
ISSUE 15The Discount ConspiracyLessons 4.3–4.4
A discount sign estimates kindly and charges something else. The crew benchmarks a percent, finds the exact sale price, and compares two offers.
ISSUE 16The Discount ConspiracyLesson 4.5
Fifteen lanterns are all that remain of a packing list, and they are 30 percent of the order. The crew rebuilds the whole from a part and a percent.
STORY ARC 04 · 6.GR
A pavilion bid has priced the wrong region: slanted sides treated as heights, faces counted twice, and square units ordered where cubic units belong.
Area, Surface Area, and Volume
ISSUE 17The Geometry ArchitectsLessons 5.1–5.2
A pavilion garden is drawn as a parallelogram and a triangle with the same base and height. The bid uses a slanted side as the height. The areas disagree until the perpendicular height is restored.
ISSUE 18The Geometry ArchitectsLessons 5.3–5.4
A festival floor is a trapezoid plus a composite of a rectangle and a triangle. One decomposition counts the shared region twice. The crew finds an area that can be walked exactly once.
ISSUE 19The Geometry ArchitectsLessons 5.5–5.6
A rectangular prism of stone is priced as if its net were its volume. The crew counts cubic units, then chooses the net that could actually fold into the crate.
ISSUE 20The Geometry ArchitectsLessons 5.7–5.8
Wrapping a prism and a square pyramid means counting every face once. The pyramid's slant height, not its standing height, belongs on the triangular faces.
ISSUE 21The Geometry ArchitectsLessons 5.9–5.10
A regular polygon floor and a storage prism sit in the same pavilion and on the same dishonest invoice. The crew separates square units from cubic units and closes the architectural file.
STORY ARC 05 · 6.NOS
The Archive door will open only for expressions that keep their value. Exponents, factors, and fraction division are parts of the same key.
Expressions
ISSUE 22The Expression CodeLessons 6.1–6.2
The Archive kitchen will not open until a division expression says how many servings fit in a pot. The quotient counts groups, not leftovers.
ISSUE 23The Expression CodeLessons 6.3–6.4
A cell labeled 2⁵ has been wired as 2×5. The crew evaluates the power, then a numerical expression where exponents outrank multiplication.
ISSUE 24The Expression CodeLessons 6.5–6.6
An archive gate substitutes a number for x and then checks whether two expressions stay equal. Equivalent has to mean equal for the value that matters, and not by accident of one sloppy rewrite.
ISSUE 25The Expression CodeLessons 6.7–6.8
Two gears mesh only at a common factor, and an expression factors only when the shared factor is pulled from every term. The factory lock wants both.
ISSUE 26The Expression CodeLessons 6.9–6.10
Whole yards of ribbon are cut into fractional bows, and a mixed-number spool is cut the same way. The last spool does not divide evenly, so complete bows and leftover length must be told apart.
ISSUE 27The Expression CodeLesson 6.11
A field team has nine liters of water and bottles of three-quarters of a liter. The quotient is exact, the leftover case is not, and the meaning of each number decides whether the team can leave.
ISSUE 28The Expression CodeLessons 6.12–6.13
Two beacons flash on different cycles. Their first shared minute is a least common multiple, and a gear inside one beacon only makes sense after it is written as a product of primes.
ISSUE 29The Expression CodeLessons 6.14–6.15
The Archive's last expression must be expanded with the distributive property and then simplified by combining like terms. The value has to survive both rewrites.
STORY ARC 06 · 6.NOS
A backup depot was surveyed from sea level and then copied onto a map that may be mirrored. Elevation, order, and distance have to agree.
Integers and the Coordinate Plane
ISSUE 30The Coordinate ExpeditionLessons 7.1–7.2
Sea level is zero on the depot survey. Elevations and their opposites have to be named before anyone climbs or dives with the wrong sign.
ISSUE 31The Coordinate ExpeditionLessons 7.3–7.4
Absolute value tells the crew how far a reading is from sea level. Ordering the same readings tells them which is greater. Mixing the two sends the rescue the wrong way.
ISSUE 32The Coordinate ExpeditionLessons 7.5–7.6
A parcel for the backup depot belongs in quadrant II. Couriers must plot the point and then measure the horizontal and vertical street distances that actually exist.
ISSUE 33The Coordinate ExpeditionLessons 7.7–7.8
A rectangular park crosses the axes. Its corners, side lengths, perimeter, and area all have to come from the coordinates, including the ones in negative quadrants.
ISSUE 34The Coordinate ExpeditionLesson 7.9
A filed point may be a reflection of the depot. The crew reflects across each axis, checks the distance to the mirror, and refuses the flipped map.
STORY ARC 07 · 6.AT
The vault accepts a value only when both sides name the same amount, and the repair budget is a boundary, not a single target.
Equations and Inequalities
ISSUE 35The Equation ProtocolLessons 8.1–8.2
A vault scale shows an equation. A value is a solution only when both sides match, and addition or subtraction has to happen on both sides or the scale tips again.
ISSUE 36The Equation ProtocolLesson 8.3
Multiplication and division equations lock a drawer. The crew solves them with inverse operations and checks by putting the key back into the original equation.
ISSUE 37The Equation ProtocolLessons 8.4–8.5
The arcade's rules are inequalities. The crew writes them, decides whether the boundary is included, and tests values before anyone is turned away by a bad symbol.
ISSUE 38The Equation ProtocolLessons 8.6–8.7
A parts budget is an inequality to solve and graph. The final purchase has to satisfy the mathematics and the practical constraint of whole parts.
STORY ARC 08 · 6.AT
The city's last locked brief is not one number. It is a relationship between two changing quantities, and the fair on the hill is running out of time to use it.
Two-Variable Relationships
ISSUE 39The Pattern NetworkLessons 9.1–9.2
A weather station records hours of a storm and centimeters of rain as a relationship. The table, the graph, and the claim have to describe the same pair of variables.
ISSUE 40The Pattern NetworkLessons 9.3–9.4
Two fair plans relate hours to cost. The crew writes the equations, compares them at more than one input, and chooses with the relationship still attached. The harbor's long argument about single numbers finally has an answer.