Geometry Learning Targets
Geometry Targets (see rubrics here)
- Apply geometric transformations.
HS.GM.A.1 Apply definitions of rotations, reflections, and translations to transform a figure and map between two figures in authentic contexts.
HS.GM.A.2 Verify experimentally the properties of a dilation given a center and a scale factor. Solve problems in authentic contexts involving similar triangles or dilations.
HS.GM.A.3 Use the slopes of segments and the coordinates of the vertices of triangles, parallelograms, and trapezoids to solve problems in authentic contexts.
HS.GM.A.4 Use definitions of transformations and symmetry relationships to justify the solutions of problems in authentic contexts.
- Construct and communicate geometric proofs.
HS.GM.B.5 Apply and justify triangle congruence and similarity theorems in authentic contexts.
HS.GM.B.6 Justify theorems of line relationships, angles, triangles, and parallelograms; and use them to solve problems in authentic contexts.
HS.GM.B.7 Perform geometric constructions with a variety of tools and methods.
- Apply concepts of right triangle trigonometry.
HS.GM.D.12 Apply sine, cosine, and tangent ratios, and the Pythagorean Theorem, to solve problems in authentic contexts.
HS.GM.D.13 Apply the Pythagorean Theorem in authentic contexts, and develop the standard form for the equation of a circle.
HS.GM.D.14 Use the coordinate plane to determine parallel and perpendicular relationships, and the distance between points.
- Solve problems and interpret solutions of area and volume.
HS.GM.C.8 Solve authentic modeling problems using area formulas for triangles, parallelograms, trapezoids, regular polygons, and circles.
HS.GM.C.9 Use volume and surface area formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems and apply to authentic contexts.
HS.GM.C.10 Use geometric shapes, their measures, and their properties to describe real world objects, and solve related authentic modeling and design problems.
HS.GM.C.11 Apply concepts of density based on area and volume in authentic modeling situations.
- Apply independence and conditional probability, and use them to interpret data.
HS.DR.E.14 Describe the possible outcomes for a situation as subsets of a sample space.
HS.DR.E.15 Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.
- Use appropriate strategies to collect data.
HS.DR.B.5 Articulate what constitutes good practice in designing a sample survey, an experiment, and an observational study. Understand issues of bias and confounding variables in a study and their implications for interpretation.
HS.DR.B.6 Distinguish and choose between surveys, observational studies, and experiments to design an appropriate data collection that answers an investigative question of interest.
HS.DR.B.7 Apply an appropriate data collection plan when collecting primary data or selecting secondary data for the statistical investigative question of interest.
- Formulate statistical investigative questions.
HS.DR.A.1 Formulate multivariable statistical investigative questions and determine how data from samples can be collected and analyzed to provide an answer.
HS.DR.A.2 Formulate summative, comparative, and associative statistical investigative questions for surveys, observational studies, and experiments using primary or secondary data.
HS.DR.A.3 Formulate inferential statistical investigative questions regarding causality and prediction from correlation.
HS.DR.A.4 Use mathematical and statistical reasoning to formulate questions about data to evaluate conclusions and assess risks.
- Communicate fluently using the formal language of mathematics, use proper notation, and appropriate units.
Use appropriate mathematical language
Use appropriate forms of mathematical representation to present information correctly
Move between different forms of mathematical representation
Communicate through lines of reasoning that are complete and coherent
Present work that is usually organized using a logical structure.