|
Geometry | Measurement
GEO.GEO.1
The learner will be able to describe, explain and use the basic terms and symbols of geometry.
| Strand |
Bloom's |
Scope |
| Geometric Vocabulary |
Comprehension |
Master |
|
GEO.GEO.2
The learner will be able to apply the undefined and defined terms of geometry and identify geometric symbols.
| Strand |
Bloom's |
Scope |
| Planes/Points/Lines |
Comprehension |
Master |
|
GEO.GEO.3
The learner will be able to describe how mathematical systems are built.
| Strand |
Bloom's |
Scope |
| Geometric Concepts |
Comprehension |
Master |
|
GEO.GEO.4
The learner will be able to compare and contrast different types of geometry.
| Strand |
Bloom's |
Scope |
| Geometric Concepts |
Analysis |
Master |
|
GEO.GEO.5
The learner will be able to identify and represent regular and non-regular polyhedra.
| Strand |
Bloom's |
Scope |
| Three-Dimensional Solids |
Application |
Master |
|
GEO.GEO.6
The learner will be able to perform geometric transformations.
| Strand |
Bloom's |
Scope |
| Transformations |
Comprehension |
Master |
|
GEO.GEO.7
The learner will be able to draw reflection images of figures.
| Strand |
Bloom's |
Scope |
| Reflections |
Application |
Master |
|
GEO.GEO.8
The learner will be able to use reflections to find a path from an object to a particular point in a real world situation.
| Strand |
Bloom's |
Scope |
| Reflections |
Application |
Master |
|
GEO.GEO.9
The learner will be able to apply properties of reflections to obtain properties of translations and other isometries.
| Strand |
Bloom's |
Scope |
| Geometric Concepts |
|
Master |
|
GEO.GEO.10
The learner will be able to use reflections to demonstrate or determine symmetry.
| Strand |
Bloom's |
Scope |
| Symmetry |
Application |
Master |
|
GEO.GEO.11
The learner will be able to recognize and perform the various transformations (reflection, rotation, translation, dilation) of a specific figure on a coordinate plane.
| Strand |
Bloom's |
Scope |
| Transformations |
Knowledge |
Master |
|
GEO.GEO.12
The learner will be able to apply properties of reflections to make conclusions.
| Strand |
Bloom's |
Scope |
| Reflections |
Application |
Master |
|
GEO.GEO.13
The learner will be able to determine the isometry which maps one figure onto another.
| Strand |
Bloom's |
Scope |
| Transformations |
Analysis |
Master |
|
GEO.GEO.14
The learner will be able to apply transformation to two- and three-dimensional figures to deduce properties.
| Strand |
Bloom's |
Scope |
| Transformations |
Application |
Master |
|
GEO.GEO.15
The learner will be able to use the necessary transformations to extend a tessellated pattern.
| Strand |
Bloom's |
Scope |
| Tessellations |
Application |
Master |
|
GEO.GEO.16
The learner will be able to use concepts of congruence and similarity to compare lengths, areas, and volumes.
| Strand |
Bloom's |
Scope |
| Congruence/Similarity/Symmetry |
Application |
Master |
|
GEO.GEO.17
The learner will be able to apply methods of proof using congruence or similarity.
| Strand |
Bloom's |
Scope |
| Proofs |
Evaluation |
Master |
|
GEO.GEO.18
The learner will be able to use congruence and similarity to solve problems.
| Strand |
Bloom's |
Scope |
| Congruence/Similarity/Symmetry |
Application |
Master |
|
GEO.GEO.19
The learner will be able to create indirect and/or direct proofs for various assertions.
| Strand |
Bloom's |
Scope |
| Proofs |
Application |
Master |
|
GEO.GEO.20
The learner will be able to develop and apply the properties, definitions, and theorems associated to quadrilaterals (parallelograms, rectangles, rhombi, squares, trapezoids, kites) to obtain solutions to problems and write proofs.
| Strand |
Bloom's |
Scope |
| Quadrilaterals |
Application |
Master |
|
GEO.GEO.21
The learner will be able to apply the structure of deductive reasoning, including definitions, postulates, theorems, properties of equality and inequality, in order to obtain solutions to problems.
| Strand |
Bloom's |
Scope |
| Reasoning |
Application |
Master |
|
GEO.GEO.22
The learner will be able to develop and apply properties of triangles to obtain solutions to problems and write proofs related to similar triangles and the relationship of their corresponding parts.
| Strand |
Bloom's |
Scope |
| Triangles |
Application |
Master |
|
GEO.GEO.23
The learner will be able to develop and apply properties of triangles to obtain solutions to problems and write proofs related to congruent triangles and their corresponding parts.
| Strand |
Bloom's |
Scope |
| Triangles |
Application |
Master |
|
GEO.GEO.24
The learner will be able to develop and apply properties of triangles to obtain solutions to problems and write proofs related to isosceles and equilateral triangles.
| Strand |
Bloom's |
Scope |
| Triangles |
Application |
Master |
|
GEO.GEO.25
The learner will be able to develop and apply properties of triangles to obtain solutions to problems and write proofs related to altitudes, perpendicular bisectors, angle bisectors, and medians.
| Strand |
Bloom's |
Scope |
| Triangles |
Application |
Master |
|
GEO.GEO.26
The learner will be able to explore and apply properties of triangles to obtain solutions to problems and/or write proofs related to the interior and exterior angles of a triangle.
| Strand |
Bloom's |
Scope |
| Triangles |
Application |
Master |
|
GEO.GEO.27
The learner will be able to apply inductive reasoning to reach conclusions.
| Strand |
Bloom's |
Scope |
| Reasoning |
Synthesis |
Master |
|
GEO.GEO.28
The learner will be able to identify congruent and similar figures and relate the transformations to vectors.
| Strand |
Bloom's |
Scope |
| Connecting |
Analysis |
Master |
|
GEO.GEO.29
The learner will be able to make logical arguments employing various formats, focusing on paragraph form, flow proofs, and/or non-direct methods.
| Strand |
Bloom's |
Scope |
| Logic |
Evaluation |
Master |
|
GEO.GEO.30
The learner will be able to write conditional statements and interpret them, including converse, inverse, and contrapositive.
| Strand |
Bloom's |
Scope |
| Logic |
Application |
Master |
|
GEO.GEO.31
The learner will be able to recognize, name, and draw sets of points.
| Strand |
Bloom's |
Scope |
| Planes/Points/Lines |
Application |
Master |
|
GEO.GEO.32
The learner will be able to measure, identify and use different types of angles.
| Strand |
Bloom's |
Scope |
| Angles |
Application |
Master |
|
GEO.GEO.33
The learner will be able to describe the relationship of angles with regard to parallel and perpendicular lines.
| Strand |
Bloom's |
Scope |
| Lines/Angles/Polygons |
Knowledge |
Master |
|
GEO.GEO.34
The learner will be able to apply the postulates and theorems regarding parallel and perpendicular lines to solve problems.
| Strand |
Bloom's |
Scope |
| Lines: Parallel/Perpendicular |
Application |
Master |
|
GEO.GEO.35
The learner will be able to determine the slopes to identify if two lines are parallel or perpendicular.
| Strand |
Bloom's |
Scope |
| Coordinate Geometry: Slope |
Application |
Master |
|
GEO.GEO.36
The learner will be able to determine the equation of a line given a point on the line and the equation of a parallel line.
| Strand |
Bloom's |
Scope |
| Coordinate Geometry: Linear Equations |
Application |
Master |
|
GEO.GEO.37
The learner will be able to determine the equation of a line given a point on the line and the equation of a perpendicular line.
| Strand |
Bloom's |
Scope |
| Coordinate Geometry: Linear Equations |
Application |
Master |
|
GEO.GEO.38
The learner will be able to identify the coordinates of a point in a plane.
| Strand |
Bloom's |
Scope |
| Planes/Points/Lines |
Knowledge |
Master |
|
GEO.GEO.39
The learner will be able to obtain solutions to problems with geometric figures in the coordinate plane.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Application |
Master |
|
GEO.GEO.40
The learner will be able to determine the length and midpoint of a segment in two or three dimensions in order to obtain solutions to problems.
| Strand |
Bloom's |
Scope |
| Lines |
Application |
Master |
|
GEO.GEO.41
The learner will be able to translate between synthetic and coordinate representations.
| Strand |
Bloom's |
Scope |
| Proofs |
Application |
Master |
|
GEO.GEO.42
The learner will be able to identify and use the properties of polygons to solve problems.
| Strand |
Bloom's |
Scope |
| Polygons |
Knowledge |
Master |
|
GEO.GEO.43
The learner will be able to identify and place in a hierarchy types of triangles and quadrilaterals.
| Strand |
Bloom's |
Scope |
| Triangles |
Knowledge |
Master |
|
GEO.GEO.44
The learner will be able to use the properties of right triangles to obtain problem solutions using the Pythagorean Theorem and its converse.
| Strand |
Bloom's |
Scope |
| Properties of Figures |
Application |
Master |
|
GEO.GEO.45
The learner will be able to apply the properties, definitions, and/or theorems of polygons to obtain solutions to problems related to the interior and exterior angles of convex polygons.
| Strand |
Bloom's |
Scope |
| Polygons |
Application |
Master |
|
GEO.GEO.46
The learner will be able to apply the properties, definitions, and/or theorems of polygons to obtain solutions to problems related to congruent and similar polygons.
| Strand |
Bloom's |
Scope |
| Polygons |
Application |
Master |
|
GEO.GEO.47
The learner will be able to apply the properties of coordinate geometry to verify conclusions regarding polygons.
| Strand |
Bloom's |
Scope |
| Polygons |
Evaluation |
Master |
|
GEO.GEO.48
The learner will be able to apply properties of two and three-dimensional geometric figures to solve problems.
| Strand |
Bloom's |
Scope |
| Properties of Figures |
Application |
Master |
|
GEO.GEO.49
The learner will be able to use the appropriate formula to obtain solutions to problems related to the area of a rhombus, square, regular polygons, and circles.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Application |
Master |
|
GEO.GEO.50
The learner will be able to use the appropriate formula to obtain solutions to problems related to the lateral area, surface area and volume of a right prism, pyramid, right circular cylinder, cone, and sphere.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Application |
Master |
|
GEO.GEO.51
The learner will be able to use the appropriate formula to obtain solutions to problems related to the ratio of the perimeters, area, and volumes of similar figures.
| Strand |
Bloom's |
Scope |
| Similarity |
Application |
Master |
|
GEO.GEO.52
The learner will be able to use the properties of right triangles to obtain problem solutions using geometric mean.
| Strand |
Bloom's |
Scope |
| Properties of Figures |
Application |
Master |
|
GEO.GEO.53
The learner will be able to identify and apply angle, line, and circle relationships.
| Strand |
Bloom's |
Scope |
| Circles |
Comprehension |
Master |
|
GEO.GEO.54
The learner will be able to calculate measures of angles in circles.
| Strand |
Bloom's |
Scope |
| Circles |
Application |
Master |
|
GEO.GEO.55
The learner will be able to find arc length and areas of sectors in circles.
| Strand |
Bloom's |
Scope |
| Circles |
Application |
Master |
|
GEO.GEO.56
The learner will be able to make deductions and solve problems from properties of segments in circles.
| Strand |
Bloom's |
Scope |
| Circles |
Application |
Master |
|
GEO.GEO.57
The learner will be able to use properties of circles to obtain solutions to problems involving arcs and angles of circles.
| Strand |
Bloom's |
Scope |
| Circles |
Application |
Master |
|
GEO.GEO.58
The learner will be able to use properties of circles to obtain solutions to problems involving chords, tangents, secants, and radii of a circle.
| Strand |
Bloom's |
Scope |
| Circles |
Application |
Master |
|
GEO.GEO.59
The learner will be able to use the appropriate formula to obtain solutions to problems related to arc length and area of the sector of a circle.
| Strand |
Bloom's |
Scope |
| Circles |
Application |
Master |
|
GEO.GEO.60
The learner will be able to solve problems by constructing geometric figures correctly using basic construction instruments.
| Strand |
Bloom's |
Scope |
| Constructions |
Synthesis |
Master |
|
GEO.GEO.61
The learner will be able to conjecture theorems and postulates by using constructions.
| Strand |
Bloom's |
Scope |
| Geometric Proofs/Theorems |
Comprehension |
Master |
|
GEO.GEO.62
The learner will be able to draw and construct three-dimensional figures from multiple perspectives.
| Strand |
Bloom's |
Scope |
| Three-Dimensional Solids |
Application |
Master |
|
GEO.GEO.63
The learner will be able to use the properties of right triangles to obtain problem solutions using definitions of sine, cosine, and tangent.
| Strand |
Bloom's |
Scope |
| Properties of Figures |
Application |
Master |
|
GEO.MEA.1
The learner will be able to determine measurements of figures in space.
| Strand |
Bloom's |
Scope |
| Measurement: Application |
Application |
Master |
|
GEO.MEA.2
The learner will be able to measure and calculate length, area, and volume of figures, using the appropriate units.
| Strand |
Bloom's |
Scope |
| Units |
Application |
Master |
|
GEO.MEA.3
The learner will be able to use the basic formulas for perimeter, area, and volume to solve problems.
| Strand |
Bloom's |
Scope |
| Perimeter/Area/Volume |
Application |
Master |
|
GEO.MEA.4
The learner will be able to use the appropriate formula to calculate the area of a circle.
| Strand |
Bloom's |
Scope |
| Area of a Circle |
Application |
Master |
|
GEO.MEA.5
The learner will be able to use the appropriate formula to calculate the area of a rectangular figure.
| Strand |
Bloom's |
Scope |
| Area of a Rectangle |
Application |
Master |
|
GEO.MEA.6
The learner will be able to use the appropriate formula to calculate the area of a trapezoid.
| Strand |
Bloom's |
Scope |
| Area |
Application |
Master |
|
GEO.MEA.7
The learner will be able to calculate the area of a triangle using the correct formula.
| Strand |
Bloom's |
Scope |
| Area of a Triangle |
Application |
Master |
|
GEO.MEA.8
The learner will be able to calculate the circumference of a circle using the correct formula.
| Strand |
Bloom's |
Scope |
| Circumference |
Application |
Master |
|
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