Step into Medieval Ashford as an apprentice surveyor measuring seven fields for the king's tax. Students decompose rectangles, triangles, trapezoids, L-shapes, and pentagons into simple pieces, calculate areas, and convert to bushels. Interactive scroll fills with color as answers are correct. Auto-graded. Common Core 6.G.A.1.
Transport your 6th graders to Medieval Ashford in the year 1247 with this interactive, scenario-driven geometry activity. Students become Thomas, a 12-year-old apprentice surveyor whose master has fallen ill on the day the king's tax scroll arrives. With only hours until sundown, Thomas must measure all seven fields of the barony alone and calculate the tax owed in bushels of grain. The village is counting on him, and so is the math.
Six fields of Ashford, each with its own story and its own shape:
Miller's Meadow is a simple rectangle bordering the grist mill. Shepherd's Wedge is a right triangle where forest paths converge. Baker's Triangle grows rye for the royal bakery. River Bend is a trapezoid shaped by the bend in the Avon. Blacksmith's Corner is an L-shape where the forge stands. Knight's Pennant is a pentagon awarded for service in the Crusades. Widow's Acre is the capstone, a five-sided pentagon that Alice farms alone since the plague.
Students must decompose each composite shape into simpler rectangles and right triangles using the dashed chalk lines provided, apply the correct formula to each piece, and sum the pieces to find each field's total area. After calculating all seven, they convert the total area to bushels at the rate of 1 bushel per 10 square paces, then round up to whole bushels because the king accepts no partial payment.
What makes this worksheet different from drill-based practice:
½ × base × height formula.Standards alignment:
What's included:
Shapes and skills covered:
Area of rectangles, area of right triangles, area of trapezoids by decomposition, L-shape area, pentagon area, composite figure decomposition, reading dimensions from labeled diagrams, decimal multiplication, multi-step problem solving, rounding up to whole units, real-world math application.
Ideal for:
Keywords: sixth grade geometry, 6th grade math, area of composite shapes, area of composite figures, decomposition of polygons, Common Core 6.G.A.1, area of trapezoids, area of triangles, rectangle area, L-shape area, pentagon area, medieval math activity, cross-curricular math, real-world geometry, scenario-based learning, interactive math worksheet, auto-graded middle school math, ancient history math, surveyor math.
Students will calculate the area of seven composite geometric fields by decomposing each shape into simpler rectangles and right triangles, applying the correct area formula to each piece, and summing the pieces to find the total area of each field. Students will then apply their total area measurements to a multi-step real-world calculation, converting square units to bushels using a fixed tax rate and rounding up to whole units to determine the final tax owed. The activity reinforces Common Core standard 6.G.A.1 through direct decomposition practice on rectangles, triangles, trapezoids, L-shapes, and pentagons, while embedding decimal operations from 6.NS.B.3 and real-world reasoning about rounding.
This worksheet supports randomization, if enabled, each student will receive different dimensions for each field (for are calculation). This prevents copying of answers.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
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