Define the basic objects of plane geometry
I can give precise definitions of angle, circle, perpendicular lines, parallel lines, and line segment, using the undefined notions of point, line, distance along a line, and distance around a circular arc.
Outcomes
An outcome is a node in the graph: one concept, stated as something you can do. Search for the concept you need (the search box at the top), or browse by domain below. Each node declares what to learn first, free resources, the evidence that shows mastery, and its alignment to external standards. A stub is a node someone reached for that is not written yet. See the coherence map for how they connect.
📐 Geometry
Represent transformations in the plane
I can represent transformations in the plane, describe them as functions that take points as inputs and give points as outputs, and compare transformations that preserve distance and angle to those that do not.
Describe and draw rotations, reflections, and translations
I can define rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments, and, given a figure and a rigid motion, draw the transformed figure and specify a sequence of rigid motions that carries one figure onto another.
Use rigid motions to decide and prove congruence
I can use the definition of congruence in terms of rigid motions to decide whether two figures are congruent, and to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Prove triangles congruent with SSS, SAS, and ASA
I can explain how the SSS, SAS, and ASA criteria for triangle congruence follow from the definition of congruence in terms of rigid motions, and use them to prove two triangles congruent.
📊 Data Literacy
About the Data Literacy domain →
Read and interpret a chart
I can read bar, line, and scatter charts, say what each axis and mark represents, and state one accurate claim a chart supports and one it does not.
Clean a small tabular dataset
I can take a raw spreadsheet or CSV file with missing values, inconsistent formats, and duplicate rows, and produce a tidy dataset together with a written log of every change I made.
Summarize a dataset and communicate findings
I can compute and explain summary statistics (mean, median, range, and counts by category), choose an appropriate chart, and write a short findings note that a non-expert can follow.