 | Identify
and name the plane figures: circle, triangle, and square |
Shapes and Figures, 2- and 3-dimensional
| Identify
and name the plane figures: circle, triangle, and square |
Congruency and Similarity
| Identify
congruent figures (using “same size and shape” terminology) |
| Identify
figures that are similar, have the same shape |
New
Vocabulary in this Range: shape, circle, same as
New
Signs and Symbols: none
Shapes and Figures, 2- and 3-dimensional
|
Identify and name solid figures: can (cylinder) and cones |
|
Relate
and compare plane figures to solid figures |
|
Identify
sides and corners (vertices) on solid figures |
|
Contrast
open and closed figures |
|
Identify
cylinder (can) attributes |
Congruency and Similarity
| Identify
congruent figures |
New
Vocabulary in this Range: matches, triangle, square, corners, cone, closed, inside
New
Signs and Symbols: none
Shapes and Figures, 2- and 3-dimensional
| Classify
and sort solid figures |
Congruency and Similarity
| Identify
congruent figures using terminology |
Symmetry and Transformations
| Recognize
transformations of plane figures (slides, flips, and turns) by identifying
the figure that will fit in a certain space |
New
Vocabulary in this Range: congruent, figure
New
Signs and Symbols: none
Shapes and Figures, 2- and 3-dimensional
| Identify
and name the plane figures: circle, triangle, square, and rectangle |
| Recognize
solid figures: cube (box) |
| Identify
characteristics of plane figures (sides and corners) |
Congruency and Similarity
| Identify
congruent figures, angles, and line segments |
| Identify
similar figures (same shape, may or may not be same size) |
Symmetry and Transformations
| Identify
figures with line symmetry |
| Recognize
transformations of plane figures (slides, flips, and turns) |
| Identify
types of transformations (slides, flips, and turns) |
Line Properties and Terminology
| Identify
points on a line |
| Identify
the correct label for a line |
New
Vocabulary in this Range: symmetry, point, sides, rectangle, cube, straight, line segment,
shortest
New
Signs and Symbols: line AB (with double arrow over AB), line segment AB (with segment line
over AB)
Shapes and Figures, 2- and 3-dimensional
| Recognize
solid figures: sphere (ball) |
| Identify
and name solid figures: cube, cylinder, cone, rectangular prism, and sphere |
| Identify
characteristics of plane figures (sides and corners) |
Symmetry and Transformations
| Identify
figures with line symmetry and symmetrical parts |
| Identify position concepts: (over, under, inside, outside, in front, behind, top, middle, bottom) |
| Describe and
measure right angles |
| Identify right
angles |
| Identify
intersecting, parallel lines |
| Identify the
diagonal of a circle |
New
Vocabulary in this Range: symmetrical, parallel, intersecting, diagonal, pair, angle, cylinder,
outside, inside, sphere, faces, corresponding, point, intersect, outside, axis
of symmetry, line segment, pentagon
New
Signs and Symbols: symbol for parallel lines
Shapes and Figures, 2- and 3-dimensional
| Identify faces,
edges, and corners (vertices) on solid figures |
| Identify
polygons: triangle,
quadrilateral, pentagon, and octagon |
| Identify quadrilaterals: square, rectangle, and parallelogram |
| Identify, name, and analyze solid figures: cube, cylinder, triangular pyramid and square pyramid (faces, edges, and vertices) |
Symmetry and Transformations
| Identify
mirror-images |
Congruency and Similarity
| Identify
congruent figures, angles and line segments |
Geometric Properties and Terminology
| Identify
points, lines, line segments, rays, planes, and angles |
| Identify
the diameter of a circle |
| Identify
intersecting, parallel, and perpendicular lines |
New
Vocabulary in this Range: intersection, quadrilaterals, octagon, parallelogram, pyramid,
isosceles, right angle, diameter, right angle, geometric, perpendicular, plane
New
Signs and Symbols: D
for triangle, angle symbol
Shapes and Figures, 2- and 3-dimensional
| Identify faces,
edges, and corners (vertices) on solid figures |
| Contrast
open and closed figures |
| Identify polygons:
triangle, quadrilateral, pentagon, hexagon, and octagon |
| Identify quadrilaterals:
square, rectangle, parallelogram, trapezoid, rhombus |
| Analyze solid figures: triangular pyramid and rectangular pyramid (faces, edges, and vertices) |
Congruency and Similarities
| Identify similar figures (same shape, may or may not be the same size) |
| Identify
congruent polygons and their corresponding sides and angles |
Symmetry and Transformations
| Identify
types of transformations (rotation) |
Geometric Properties and Terminology
| Identify points,
lines, line segments, rays, and angles |
| Identify angles:
right, obtuse, and acute |
| Identify when two intersecting lines are
perpendicular |
| Identify
properties of similar figures |
New
Vocabulary in this Range: symmetrical, perpendicular, ray, vertex, rotation, triangular prism,
corresponding parts, supplementary, acute angle, transformation
New
Signs and Symbols: @
- congruent symbol, « - double arrow symbol for similarity, p - pi symbol, DABC
- to label triangle
Shapes and Figures, 2- and 3-dimensional
| Analyze solid figures: rectangular prism, triangular prism, triangular pyramid, square, pyramid (faces, edges and vertices) |
| Classify polygons
by sides and angles |
Congruency and Similarity
| Identify
congruent triangles according to corresponding parts (SSS, SAS, ASA) |
Geometric Properties and Terminology
| Identify
the center, radius and diameter of a circle |
| Measure
angles using a protractor |
| Classify
angles: supplementary and
complementary |
| Classify
angles: adjacent, vertical,
corresponding, and supplementary |
New
Vocabulary in this Range: radius, polygon, circumference, trapezoid, rectangular box,
equilateral, similar, obtuse angle, straight angle, slide
New
Signs and Symbols: angle symbol, label for line – L1
Symmetry and Transformations
| Understand meaning and representation of a
dilation |
Geometric Properties and Terminology
| Classify
triangles by sides (equilateral, isosceles, and scalene) and angles (acute,
obtuse, and right) |
| Classify polygons
by sides and angles |
| Identify and
discriminate between regular and irregular polygons |
| Find the missing
angle measurement in a triangle when two angles are known |
| Solve word
problems involving similar polygons |
| Identify the base
angles of a triangle |
| Know the
definition of the hypotenuse of a triangle |
New
Vocabulary in this Range: transformation, hypotenuse, edge, isosceles, scalene triangle, similar
trapezoids, alternate interior angles, sum of angles in triangle
New
Signs and Symbols: none
Congruency and Similarity
| Construct congruent segments and angles |
Symmetry and Transformations
| Identify
symmetry of a sphere |
Geometric Properties and Terminology
| Identify
properties of parallel lines |
| Construct
angle bisectors |
| Use
the Pythagorean theorem to calculate the measure of one side of a right
triangle when the other two sides are known |
| Identify
angle bisectors |
| Solve
problems regarding relationships among chords of a circle |
New
Vocabulary in this Range: symmetrical halves, diameter, radius, angle bisector, tangent,
corresponding parts of congruent triangles, Pythagorean theorem, corresponding
angles, complementary angles, construction
New
Signs and Symbols: sign for parallel lines
Congruency and Similarity
| Solve problems involving properties of
similar triangles |
Symmetry and Transformations
| Solve problems involving rotations (turns)
and reflections (flips) |
Geometric Properties and Terminology
| Identify
properties and slope of lines |
| Identify
plane |
| Identify
midpoint and endpoint |
| Identify
perpendicular bisector |
| Identify
properties of polygons (rhombus, parallelogram) |
New
Vocabulary in this Range: slope, non-vertical and non-horizontal, midpoint, endpoint, rotational
symmetry, reflected, perpendicular bisector, similar triangles, similar
trapezoids, similar cylinders, conditional, counterexample, conclusion of
in-then statement, interior of angle, exterior angle of regular polygon,
interior angle of regular polygon, sum of angles in triangle equals 180 degrees,
congruent angles, adjacent angles, vertical angles
New
Signs and Symbols: none
Geometric Properties and Terminology
| Identify
the correct definition of a postulate |
| Solve
problems using two chord power theorem |
| Identify
and solve problems involving right triangles using the trigonometric
functions and the Pythagorean Theorem |
| Use
of distance formula to determine type of triangle using coordinates |
| Solve
problems regarding relationships among chords, secants, tangents, inscribed
angles, central angle, arc, and inscribed and circumscribed polygons of
circles |
| Measure
and compare angles in degrees |
| Solve
problems involving the perimeter, circumference, area, volume, and surface
area of common geometric figures |
| Determine
how changes in dimensions affect the perimeter, area, and volume of common
geometric figures and solids |
| Find
and use measures of sides and interior and exterior angles to identify
figures and solve problems involving polygons |
| Know
the effect of rigid motions on figures in the coordinate plane and space,
including rotations, translations, and reflections |
New
Vocabulary in this Range: postulate
New
Signs and Symbols: none
Congruency and Similarity
| Prove that triangles and other polygons
are congruent or similar using algebraic, coordinate, and deductive proofs |
Geometric Properties and Terminology
| Identify
number of diagonals of regular polygons |
| Informally
prove relationships between angles in polygons by using properties of
complementary, supplementary, vertical, and exterior angles |
New
Vocabulary in this Range: HL
New
Signs and Symbols: none
Symmetry and Transformations
| Solve problems involving volume with
rotational transformation |
New
Vocabulary in this Range: none
New
Signs and Symbols: none