Mathematics Toolkit
Curriculum Guidance Materials & Resources
Grade 3-8 Mathematics Testing Program Guidance, Pre-March/Post March
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Geometry |
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Band Performance Indicator
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Pre- MarchTesting
/Post-March Testing |
Shapes
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Grade 3 |
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3.G.1
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Define and use correct terminology when referring to shapes (circle,
triangle, square, rectangle, rhombus, trapezoid, and hexagon) |
Pre-March
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3.G.2
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Identify congruent and similar figures |
Post-March |
3.G.3
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Name, describe, compare, and sort three-dimensional shapes: cube,
cylinder, sphere, prism, and cone |
Pre-March
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3.G.4
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Identify the faces on a three-dimensional shape as two-dimensional shapes |
Pre-March |
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Grade 4 |
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4.G.1 |
Identify and name polygons, recognizing that their names are related to
the number of sides and angles (triangle, quadrilateral, pentagon,
hexagon, and octagon) |
Pre-March |
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4.G.2 |
Identify points and line segments when drawing a plane figure |
Pre-March |
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4.G.3 |
Find perimeter of polygons by adding sides |
Pre-March |
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4.G.4 |
Find the area of a rectangle by counting the number of squares needed to
cover the rectangle |
Pre-March |
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4.G.5 |
Define and identify vertices, faces, and edges of three-dimensional shapes |
Pre-March |
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Grade 5 |
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5.G.1 |
Calculate the perimeter of regular and irregular polygons |
Pre-March |
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Grade 6 |
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6.G.1 |
Calculate the length of corresponding sides of similar triangles, using
proportional reasoning |
Pre-March |
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6.G.2 |
Determine the area of triangles and quadrilaterals (squares, rectangles,
rhombi, and trapezoids) and develop formulas |
Pre-March |
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6.G.3 |
Use a variety of strategies to find the area of regular and irregular
polygons |
Pre-March |
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6.G.4 |
Determine the volume of rectangular prisms by counting cubes and develop the
formula |
Pre-March |
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6.G.5 |
Identify radius, diameter, chords and central angles of a circle |
Pre-March |
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6.G.6 |
Understand the relationship between the diameter and radius of a circle |
Pre-March |
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6.G.7 |
Determine the area and circumference of a circle, using the appropriate
formula |
Pre-March |
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6.G.8 |
Calculate the area of a sector of a circle, given the measure of a central
angle and the radius of the circle |
Pre-March |
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6.G.9 |
Understand the relationship between the circumference and the diameter of a
circle |
Pre-March |
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Grade 7 |
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7.G.1 |
Calculate the radius or diameter, given the circumference or area of a
circle |
Pre-March |
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7.G.2 |
Calculate the volume of prisms and cylinders, using a given formula and a
calculator |
Pre-March |
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7.G.3 |
Identify the two-dimensional shapes that make up the faces and bases of
three-dimensional shapes (prisms, cylinders, cones and pyramids) |
Pre-March |
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7.G.4 |
Determine the surface area of prisms and cylinders, using a calculator and a
variety of methods |
Pre-March |
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Grade 8 |
None |
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Constructions |
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Grade 3 |
None |
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Grade 4 |
None |
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Grade 5 |
None |
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Grade 6 |
None |
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Grade 7 |
None |
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Grade 8 |
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8.G.0 |
Construct the following using a straight edge and compass: Segment congruent
to a segment; angle congruent to an angle; perpendicular bisector; and angle
bisector |
Post-March |
Geometric Relationships
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Grade 3 |
None |
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Grade 4 |
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4.G.6 |
Draw and identify intersecting, perpendicular, and parallel lines |
Post-March |
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4.G.7 |
Identify points and rays when drawing angles |
Post-March |
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4.G.8 |
Classify angles as acute, obtuse, right, and straight |
Post-March |
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Grade 5 |
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5.G.2 |
Identify pairs of similar triangles |
Pre-March |
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5.G.3 |
Identify the ratio of corresponding sides of similar triangles |
Pre-March |
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5.G.4 |
Classify quadrilaterals by properties of their angles and sides |
Pre-March |
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5.G.5 |
Know that the sum of the interior angles of a quadrilateral is 360 degrees |
Pre-March |
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5.G.6 |
Classify triangles by properties of their angles and sides |
Pre-March |
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5.G.7 |
Know that the sum of the interior angles of a triangle is 180 degrees |
Pre-March |
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5.G.8 |
Find a missing angle when given two angles of a triangle |
Pre-March |
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5.G.9 |
Identify pairs of congruent triangles |
Pre-March |
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5.G.10 |
Identify corresponding parts of congruent triangles |
Pre-March |
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Grade 6 |
None |
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Grade 7 |
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7.G.5 |
Identify the right angle, hypotenuse, and legs of a right triangle |
Post-March |
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7.G.6 |
Explore the relationship between the lengths of the three sides of a right
triangle to develop the Pythagorean Theorem |
Post-March |
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7.G.7 |
Find a missing angle when given angles of a quadrilateral |
Pre-March |
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7.G.8 |
Use the Pythagorean Theorem to determine the unknown length of a side of a
right triangle |
Post-March |
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7.G.9 |
Determine whether a given triangle is a right triangle by applying the
Pythagorean Theorem and using a calculator |
Post-March |
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Grade 8 |
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8.G.1 |
Identify pairs of vertical angles as congruent |
Pre-March |
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8.G.2 |
Identify pairs of supplementary and complementary angles |
Pre-March |
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8.G.3 |
Calculate the missing angle in a supplementary or complementary pair |
Pre-March |
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8.G.4 |
Determine angle pair relationships when given two parallel lines cut by a
transversal |
Pre-March |
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8.G.5 |
Calculate the missing angle measurements when given two parallel lines cut
by a transversal |
Pre-March |
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8.G.6 |
Calculate the missing angle measurements when given two intersecting lines
and an angle |
Pre-March |
Transformational Geometry
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Grade 3 |
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3.G.5
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Identify and construct lines of symmetry |
Pre-March |
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Grade 4 |
None |
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Grade 5 |
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5.G.11 |
Identify and draw lines of symmetry of basic geometric shapes |
Pre-March |
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Grade 6 |
None |
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Grade 7 |
None |
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Grade 8 |
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8.G.7 |
Describe and identify transformations in the plane, using proper function
notation (rotations, reflections, translations, and dilations) |
Pre-March |
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8.G.8 |
Draw the image of a figure under rotations of 90 and 180 degrees |
Pre-March |
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8.G.9 |
Draw the image of a figure under a reflection over a given line |
Pre-March |
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8.G.10 |
Draw the image of a figure under a translation |
Pre-March |
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8.G.11 |
Draw the image of a figure under a dilation |
Pre-March |
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8.G.12 |
Identify the properties preserved and not preserved under a reflection,
rotation, translation, and dilation |
Pre-March |
Coordinate Geometry
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Grade 3 |
None |
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Grade 4 |
None |
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Grade 5 |
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5.G.12 |
Identify and plot points in the first quadrant |
Post-March |
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5.G.13 |
Plot points to form basic geometric shapes (identify and classify) |
Post-March |
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5.G.14 |
Calculate perimeter of basic geometric shapes drawn on a coordinate plane
(rectangles and shapes composed of rectangles having sides with integer
lengths and parallel to the axes) |
Post-March |
