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Content knowledge
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Students will be able to construct a regular pentagon using the seven basic compass-and-straightedge constructions as a precise geometric figure without measurement. - construct
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- I can use a compass and straightedge safely to draw the first, rough steps toward a regular pentagon, making clear marks for each construction move I try
- I can label at least one basic construction I used (such as copying a congruent segment/angle or constructing a perpendicular) on my draft page.
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- I can follow a sequence of the seven basic compass-and-straightedge constructions to build a regular pentagon more accurately, using construction vocabulary to describe what I did at each step
- I can check my work with arcs and intersection points and revise my draft to improve side length and angle symmetry without measuring.
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- I can independently construct a regular pentagon by combining multiple basic constructions precisely, using arcs and intersection points to guide corrections
- I can explain—using correct geometric terms—how my specific construction choices led to a more accurate result and show this in a before-and-after portfolio.
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- I can construct and refine a fully accurate regular pentagon without measurement, independently selecting and applying the appropriate basic constructions to solve issues I see in my draft
- I can present evidence-based reasoning (from my labeled arcs, intersection points, and revisions) to justify how the combined constructions produced the regular shape during my Geometry Blueprint Museum.
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Skill
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Students will be able to apply the seven basic constructions to bisect segments, bisect angles, construct perpendicular lines, construct parallel lines, and copy congruent segments and angles accurately. - apply
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- I can use a compass and straightedge to make careful constructions for a segment and an angle that are good enough to copy as a starting point
- I can label simple steps (like “arc,” “intersection,” “line”) and show where the bisection, perpendicular, parallel, or copied congruent part was placed on my diagram.
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- I can accurately bisect a segment and an angle using intersecting arcs and identify the midpoint/angle-bisector point on my work
- I can also construct perpendicular and parallel lines and copy congruent segments and angles with matching size by using consistent compass openings and clear intersection points.
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- I can apply multiple constructions together in one diagram (bisections, perpendiculars, parallels, and copying) to build the needed parts of a regular-pentagon plan
- I can check my accuracy by comparing corresponding lengths/angles and show evidence of where arcs and intersections guide corrections in my revised draft.
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- I can independently and precisely carry out all seven basic constructions as needed to bisect segments, bisect angles, construct perpendicular and parallel lines, and copy congruent segments and angles with strong accuracy
- I can justify my choices using construction vocabulary and document the sequence of steps (arcs → intersections → drawn lines) so someone else could reproduce my exact construction without measuring.
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Skill
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Students will be able to analyze a construction attempt for errors and revise the figure using arc intersections and compass settings to increase accuracy. - analyze
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- I can look at my construction attempt and point to one specific place it looks off (like a side that is too short/long or an angle that doesn’t match)
- I can circle the error and describe what I will check again using words like “arc,” “intersection,” or “compass setting.”
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- I can compare my pentagon draft to the expected construction features by checking arc intersections and where segments meet
- I can label at least two points (or regions) to show where an error might be happening and write a clear plan for the next revision step using compass-and-straightedge vocabulary (e.g., “same compass opening,” “intersecting arcs,” “through the point”).
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- I can analyze arc intersections and compass settings to diagnose why my figure is not yet precise, using evidence from my work (labeled points, arc marks, and construction steps)
- I can revise my drawing by redoing the key construction move(s) so that corrected intersections line up and the sides/angles match the intended relationships, then write what changed and why.
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- I can thoroughly evaluate my construction using the pattern of intersections and the consistency of my compass settings across steps
- I can propose and carry out a precise revision plan (including which basic construction step to redo and what the target intersection points should be), producing a visibly more accurate pentagon and documenting the cause-and-effect of my improvements with clear labels and reasoning.
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Content knowledge
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Students will be able to justify which construction steps produce a regular pentagon by explaining how equal sides and equal angles are preserved through compass-and-straightedge procedures. - justify
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- I can name and use compass-and-straightedge steps from the pentagon construction (like drawing circles/arcs and copying from a given point) and explain that these steps help me keep the figure’s sides and angles looking equal.
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- I can justify which construction steps help preserve equal sides and equal angles in my pentagon by describing the relationship between the steps and the resulting arcs/intersections I see on my paper.
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- I can explain how specific construction procedures (e.g., copying a segment/angle and building perpendicular/parallel references) preserve equal lengths and equal angle measures in a regular pentagon without measuring, using evidence from my labeled drafts.
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- I can justify, with clear step-by-step reasoning, how the sequence of the seven basic constructions preserves equal sides and equal angles, and I can connect each step to the congruent arcs, repeated intersection points, and resulting accuracy in my before-and-after work.
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Disposition
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Students will be able to communicate a clear construction process using correct geometry vocabulary, labeled diagrams, and evidence from before-and-after drafts. - communicate
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- I can use correct compass-and-straightedge vocabulary in simple labeled steps (e.g., “circle/arc,” “intersection,” “perpendicular,” “bisect”) to explain what I did
- I can point to a labeled part of my before-and-after diagrams and describe the step that helped it look more accurate.
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- I can communicate my construction process in order using accurate geometry vocabulary and clear labels for key moves and results (arcs, intersection points, angle or segment bisectors)
- I can compare my before draft to my revised draft by pointing to at least two specific changes and naming which basic construction or move caused the improvement.
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- I can explain how multiple construction steps work together by using precise vocabulary and labeled diagrams that show arcs, intersections, and line placements
- I can justify my revisions with evidence from my drafts (e.g., “my angles are more equal because I bisected,” or “my lines meet at a better point because I used the correct intersection”).
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- I can communicate a complete, well-organized construction process with precise geometry vocabulary, thoroughly labeled diagrams, and strong evidence from my before-and-after portfolio
- During my share-out or exhibit booklet writing, I can clearly connect each of the seven basic constructions to the features of my regular pentagon and explain how my reasoning improved precision without measurement.
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