Geometry (Indiana Academic Standards)

Your Teacher Information Pack for Geometry in Indiana: the standards with their official codes, the state tests and the official links. Check what you're teaching and plan a lesson.

Learn how – Teacher Information Packs: watch the 2-minute video · print (PDF) · also Year Planner setup

Track your class against these statements with Classfern Pro. What's in Pro Join Classfern Pro

The standards (our summaries)

Indiana's official codes with our own short summaries (not the official wording). Each code links to the official document.

Geometry

Geometry Foundations (GF)

• G.GF.1 Describe how an axiomatic system is built and explain how evidence, counterexamples and proofs differ.
• G.GF.2 Write and judge the truth of the converse, inverse and contrapositive of conditional and biconditional statements.
• G.GF.3 Write geometric proofs, including coordinate proofs, as two-column, paragraph or flowchart proofs.
• G.GF.4 Prove and apply theorems about parallel and perpendicular lines, transversals, vertical angles and perpendicular bisectors.
• G.GF.5 Use slopes from graphs and equations to decide whether lines are parallel, perpendicular or neither.
• G.GF.6 Use tools to make and justify constructions: congruent segments and angles, bisectors, altitudes, medians, parallel lines.
• G.GF.7 Derive the distance formula from the Pythagorean Theorem and find lengths and midpoints of segments on the coordinate plane.

Triangles (T)

• G.T.1 Prove and apply triangle theorems: angle sum, isosceles, Pythagorean, midsegment, proportional sides, angle bisector, inequalities, hinge.
• G.T.2 Prove and apply triangle congruence (ASA, SAS, AAS, SSS, HL) from the rigid-motion definition of congruence.
• G.T.3 Use similarity transformations to decide whether triangles are similar and explore what similarity means.
• G.T.4 Use congruent and similar triangles to solve problems about sides, perimeters and areas.
• G.T.5 Understand that side ratios in right triangles depend only on the acute angles, which defines the trig ratios.
• G.T.6 Solve right-triangle problems with sine, cosine, tangent, their inverses and the Pythagorean Theorem.
• G.T.7 Use the side relationships in 30-60-90 and 45-45-90 triangles to solve problems.

Quadrilaterals & Other Polygons (QP)

• G.QP.1 Prove and apply theorems about the sides, angles and diagonals of parallelograms.
• G.QP.2 Prove that a quadrilateral is a parallelogram, rhombus, rectangle, square, kite or trapezoid, including with coordinates.
• G.QP.3 Develop and use formulas for interior and exterior angles of polygons.
• G.QP.4 Find perimeters and areas of regular and irregular polygons to solve problems.

Circles (CI)

• G.CI.1 Define and use circle vocabulary: radius, diameter, arc, arc measure, chord, secant, tangent, congruent and concentric circles.
• G.CI.2 Explore relationships among central, inscribed and circumscribed angles, radii and chords, including radius ⟂ tangent.
• G.CI.3 Solve problems involving circumference, area of circles and sectors, arc length and related angles.

Transformations & Three-Dimensional Solids (TS)

• G.TS.1 Use rigid motions to transform figures, predict results of translations, reflections and rotations, and show congruence.
• G.TS.2 Verify properties of dilations (center, scale factor) and how dilated segment lengths change.
• G.TS.3 Explore congruent and similar solids (prisms, pyramids, cylinders, cones, spheres) and use their properties.
• G.TS.4 Solve volume and surface area problems for prisms, cylinders, cones, spheres, pyramids and composite solids.
• G.TS.5 Use geometric methods to solve design problems.

Mathematics Process Standards (all grades)

Process Standards (PS)

• PS.1 Make sense of problems, plan a solution path, monitor progress and check that answers are reasonable.
• PS.2 Reason abstractly and quantitatively, moving between symbols and the real context while attending to units.
• PS.3 Build and justify arguments (including always/sometimes/never), critique others' reasoning and collaborate.
• PS.4 Model with mathematics: apply math to everyday situations, make reasonable assumptions and check results.
• PS.5 Choose and use suitable tools, from paper and models to technology, knowing their strengths and limits.
• PS.6 Attend to precision: communicate with clear definitions, correct symbols, labeled units and suitable accuracy.
• PS.7 Look for and use structure and patterns, seeing complex items as single objects or as sets of parts.
• PS.8 Notice repeated reasoning, look for general methods and shortcuts, and keep checking intermediate results.

Tests and key dates

• ILEARN
• IREAD-3
• SAT / PSAT (College Board)

Check the Indiana Department of Education for which grades are tested and this year's testing dates (we have not yet confirmed every detail above on the official site).

Official documents

• in.gov: Geometry 2023 IAS CCSS Correlation Guide
• secure.in.gov: mathematics
• in.gov: indiana academic standards for math and ela
• in.gov: Kindergarten ELA 2023 IAS CCSS Correlation Guide

More packs

Indiana hub · Find another TIP