will increase the ability to reason about geometric figures and properties and use models, coordinates, and transformational geometry to solve problems to _________ as measured by ________ (state scoring guide, teacher survey, performance assessment, etc. ).
Apply concepts and properties of geometric figures to solve problems.
Match/classify/identify, name simple geometric objects according to attributes.
Fit manipulatives together and take them apart (e.g., legos. Puzzles, shape boxes, etc.).
Explore spatial relationships using manipulatives (e.g., pattern blocks, tiles, or blacks to build various shapes).
Identify and describe shapes; square, rectangle, rhombus, trapezoid. Parallelogram, triangle, circle, oval, cube, cylinder, and sphere.
Identify properties of geometric figures (e. G. , a triangle has three sides, a square has four equal sides, etc.).
Identify similarities and differences of two or more geometric figures by attributes.
Describe people. Places and things from various spatial viewpoints (e. G. . Verbally, drawing, clay).
Compare figures of like shape by size.
Identify figures of like shape and size (congruent figures).
Identify basic geometric shapes and relate them lo objects in the physical world.
Sort, describe and compare geometric
Sort, identify. Describe and compare geometric shapes, including polygons, all types of triangles, circles, and three
dimensional figures (sphere, cylinder, cone, prisms, pyramids).
Copy/create two or three dimensional designs.
Copy or extend patterns using concrete models and drawing pictures.
Sketch and identify points/lines/segments/rays/congruent, parallel. Perpendicular, and intersecting lines and segments.
Locate and plot coordinate points on graph paper.
Locate and connect points on a graph given ordered pair of numbers.
Graph or name coordinates of points on graph paper, maps, globes, and other charts.
Use geometric terms correctly, including side, edge, angle, face, vertex, point, line, line segment. And polygon
(triangle, ail quadrilaterals, pentagon, hexagon, octagon), circle, perimeter, area, circumference, volume, etc.
Use geometric terms correctly, including points, lines, planes, rays, vertices, segments, faces: types of angles,
polygons, solids. Features of circles. (radius. Chord, diameter, tangent line), and properties of parallel and perpendicular.
Demonstrate an understanding of perimeter, area, and volume using concrete objects.
Demonstrate ways of finding perimeter and area of triangles, circles, parallelograms, trapezoids, and rectangles.
Calculate the surface areas of regularly-shaped solids (e. G. , cubes, and other rectangles or prisms).
Demonstrate, sketch, and identify angles [right, acute, obtuse and straight angles).
Classify two- and three-dimensional objects by geometric properties.
Construct various geometric figures using appropriate tools including protractors, compasses and geometric software of computers.
Identify conditions under which two figures are symmetrical.
Recognize figures formed when shapes are combined.
Identify and predict the effects of combing and dividing shapes.
Sort and compare similarities and differences in simple polygons using properties such as the number of sides and
corners, congruence. or symmetry.
Identify properties of congruence and symmetry in triangles and quadrilaterals.
Classify and compare polygons and polyhedra according to properties, including such properties as congruence,
rotational and reflective symmetry, and similarity.
Recognize that shape change appearance, but retain characteristics when turned, flipped or moved.
Recognize congruence of shapes as they are rotated or flipped.
Represent two- and three-dimensional figures with concrete objects.
Represent (5) or draw (8) two- and three-dimensional figures.
Draw and describe two- and three-dimensional objects including circumference their area, surface area and volume.
Identify (3) recognize and describe ( 5 ) geometric shapes in natural and constructed environments.
Solve problems using geometric models and properties of figures (i.e., Pythagorean Theorem).
Recognize geometric shapes and their properties and prove relationships between them.
Make and test simple conjectures about geometric shapes and their properties, incorporating technology where appropriate.
Form and explore conjectures about geometric properties of quadrilaterals using concrete objects, drawings, and
computer programs (e.g. , symmetry, congruence, and number of parallel sides).
Make conjectures to discover or verify properties of geometric figures using given assumptions.
Recognize translations, rotation, reflections and dilations of geometric figures, including effects of size and
transformations (e.g., recognize properties which remain the same under transformations).
Predict and justify the effect of transformations on geometric figures.
Solve problems using properties of similar triangles and ratios of right triangles (including three basic trigonometric).
Justify or generalize relationships between properties of figures using given assumptions.
Write informal arguments to prove properties of figures.
Apply geometric concepts in the physical world.
Identify and locate points on simple grids.
Identity and locate positive points on a coordinate grid.
Identify and locate points by coordinates. Using four quadrants.
Represent geometric figures and properties using coordinate systems.
Solve problems in one, two, and three dimensions using distance and midpoint formulas.
Recognize slopes of parallel and perpendicular lines.
Demonstrate an understanding of geometric terms including side, edge, angle, face, point, line segment, and polygon.