Courses / Mathematics / Geometry and trigonometry / Project Build and defend your work Design a scaled layout and an angled reach Create a geometric design for a model display, storage layout or virtual reach mechanism. Specify coordinates, a uniform scale and an angled segment. Verify its dimensions, area or volume, and endpoint independently. Use at least two investigation mechanisms; a plausible drawing alone is insufficient.
Choose an audience, investigate alternatives, copy evidence from your experiments, and produce an artifact. You can open this project at any time. Reports, numerical transfer checks and human review are separate outcomes.
Your project workspace Choose the kind of work you want to produce School investigation College investigation Workplace application Design a scale-model exhibit with a rectangular container and an angled sign support. Provide a labeled drawing, actual and model dimensions, volume calculation and one fit check.
1. Collect and compare evidence Required experiment sources:
Include every source above and at least one pair with different inputs from the same experiment. Explain confounding changes yourself; the presence check does not judge your interpretation.
Open an experiment and change an input or capture a trial to make evidence available here.
2. Write and revise your report Design purpose and coordinates State what must fit or reach, choose units and an origin, and list important points. Identify a clearance or dimension constraint.
Scale and dimensions Give the scale factor and calculate at least one length, area and volume. Explain why their multipliers differ.
Angle-to-endpoint construction Declare degrees or radians, axis orientation and radius. Compute the endpoint and verify its distance from the origin.
Independent checks and edge cases Use the distance formula or Pythagorean identity to check one result. Test a vertical segment, zero radius or a changed scale and explain any undefined ratios.
Feasibility and limitations Choose a feasible design, compare a rejected alternative, and state which physical constraints the pure geometry omits.
Your artifact: code, analysis, prototype or decision brief This field stores up to 12,000 characters of inert text. Code runs only through the explicit bounded editor in the relevant lessons; project attachments never execute.
Load a text artifact Review your work against the rubric Coordinates, units and angle conventions are explicit. Length, area and volume scale correctly. At least one endpoint or distance is checked independently. Undefined slopes or ratios are not replaced by invented numeric values. A feasible design is distinguished from an attractive but unverified drawing. 11 evidence requirements remain Capture evidence from A route, a distance and a slope are different. Capture evidence from Scaling length does not scale everything equally. Capture evidence from Turn an angle into two coordinates. Capture evidence from Turn an angle into local motion. Include two different input configurations from the same experiment to compare. Write your design purpose and coordinates. Write your scale and dimensions. Write your angle-to-endpoint construction. Write your independent checks and edge cases. Write your feasibility and limitations. Add your project artifact: code, analysis, prototype or decision brief. Record my report Download report and evidence Editing the report or evidence returns it to draft. Recording verifies field presence and input comparisons, not correctness of your reasoning or code.
3. Check transfer to unfamiliar cases These authored cases use different numbers or conditions from the lesson practice. They are public local checks, not secure certification. Each case permits three submissions. Opening, first responses and attempt counts survive imports; no reset creates fresh evidence.
Case geometry-project-distance Open case geometry-project-distance Case geometry-project-volume Open case geometry-project-volume Case geometry-project-angle Open case geometry-project-angle Case geometry-project-area Open case geometry-project-area
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