See this blog posting for context.
Every time you refresh this page, you might get two topics from two different curriculum documents, as aligned by the current model. An effort to find a close training pair is done, if effective, the pair is also shown, together with metadata about how the pair was annotated. A permalink at the bottom allows to retrieve the exact page for later archival, discussion and comparison. Refresh the pair for another pair.
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Curriculum: Common Core State Standards for Mathematics High School — Geometry Circles Find arc lengths and areas of sectors of circles Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. | Curriculum: Australia Mathematics F-10 Year 7 Measurement and Geometry Geometric reasoning Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral |