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Self-Check Quizzes—ISTEP+/GQE
Self-Check Quizzes
randomly generates a self-grading quiz correlated to each
lesson in your textbook. Hints are available if you need extra
help. Immediate feedback that includes specific page references
allows you to review lesson skills. Choose a lesson from the
list below. |
| Printer-Friendly
Version |
| Academic
Standard |
Student
Edition Lesson(s) |
|
Standard
1 Points, Lines, Angles, and Planes
Students simplify and compare expressions. They use
rational exponents, and simplify square roots.
|
| G.1.1 |
|
Find the lengths and midpoints
of line segments in one or two dimensional coordinate
systems. |
|
2-2, 2-3, 2-5
|
| G.1.2 |
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Construct congruent segments
and angles, angle bisectors, and parallel and perpendicular
lines using a straight edge and compass, explaining
and justifying the process used. |
|
1-5, 2-3, 3-6, 3-7, 4-1, 6-2,
6-3 |
| G.1.3 |
|
Understand and use the relationships
between special pairs of angles formed by parallel
lines and transversals. |
|
4-2, 4-3, 4-4 |
| G.1.4 |
|
Use coordinate geometry to find
slopes, parallel lines, perpendicular lines, and
equations of lines. |
|
4-4, 4-5, 4-6
|
Standard
2 Polygons
Students identify and describe polygons, and measure
interior and exterior angles. They use congruence, similarity,
symmetry, tessellations, and transformations. They find
measures of sides, perimeters, and areas.
|
| G.2.1 |
|
Identify and describe convex,
concave, and regular polygons. |
|
10-1
|
| G.2.2 |
|
Find measures of interior and
exterior angles of polygons, justifying the method
used. |
|
10-2
|
| G.2.3 |
|
Use properties of congruent
and similar polygons to solve problems. |
|
9-2, 9-3, 9-4, 10-7 |
| G.2.4 |
|
Apply transformations (slides,
flips, turns, expansions, and contractions) to polygons
in order to determine congruence, similarity, symmetry,
and tessellations. Know that images formed by slides,
flips and turns are congruent to the original shape. |
|
10-6, 10-7, 16-3, 16-4, 16-5, 16-6 |
| G.2.5 |
|
Find and use measures of sides,
perimeters, and areas of polygons, and relate these
measures to each other using formulas. |
|
10-3, 10-4, 10-5 |
| G.2.6 |
|
Use coordinate geometry to prove
properties of polygons such as regularity, congruence,
and similarity. |
|
16-3, 16-4, 16-5, 16-6 |
Standard
3 Quadrilaterals
Students identify and describe simple quadrilaterals.
They use congruence and similarity. They find measures
of sides, perimeters, and areas. |
| G.3.1 |
|
Describe, classify, and understand
relationships among the quadrilaterals square, rectangle,
rhombus, parallelogram, trapezoid, and kite. |
|
8-1, 8-2, 8-3, 8-4, 8-5 |
| G.3.2
|
|
Use properties of congruent
and similar quadrilaterals to solve problems involving
lengths and areas. |
|
9-2
|
| G.3.3 |
|
Find and use measures of sides, perimeters, and
areas of quadrilaterals, and relate these measures
to each other using formulas. |
|
8-4, 8-5, 10-3, 10-4, 10-5, |
| G.3.4 |
|
Use coordinate geometry to prove properties of
quadrilaterals such as regularity, congruence, and
similarity. |
|
16-3, 16-4, 16-5, 16-6
|
Standard
4 Triangles
Students identify and describe types of triangles.
They identify and draw altitudes, medians, and angle
bisectors. They use congruence and similarity. They
find measures of sides, perimeters, and areas. They
apply inequality theorems. |
| G.4.1 |
|
Identify and describe triangles that are right,
acute, obtuse, scalene, isosceles, equilateral,
and equiangular. |
|
5-1, 5-2, 6-4, 6-5
|
| G.4.2 |
|
Define, identify, and construct altitudes, medians,
angle bisectors, and perpendicular bisectors. |
|
6-1, 6-2, 6-3 |
| G.4.3 |
|
Construct triangles congruent to given triangles. |
|
5-4, 5-5, 5-6
|
| G.4.4 |
|
Use properties of congruent and similar triangles
to solve problems involving lengths and areas. |
|
5-4, 5-5, 5-6, 9-3, 9-4, 9-5, 10-4
|
| G.4.5 |
|
Prove and apply theorems involving segments divided
proportionally. |
|
9-5 |
| G.4.6 |
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Prove that triangles are congruent or similar
and use the concept of corresponding parts of congruent
triangles. |
|
5-4, 5-5, 5-6, 9-3, 9-4, 9-5 |
| G.4.7 |
|
Find and use measures of sides, perimeters, and
areas of triangles, and relate these measures to
each other using formulas. |
|
6-6, 10-4 |
| G.4.8 |
|
Prove, understand, and apply the inequality theorems:
triangle inequality, inequality in one triangle,
and hinge theorem. |
|
7-1, 7-2, 7-3, 7-4
|
| G.4.9 |
|
Use coordinate geometry to prove properties of
triangles such as regularity, congruence, and similarity. |
|
16-3, 16-4, 16-5, 16-6
|
Standard
5 Right Triangles
Students prove the Pythagorean Theorem and use it
to solve problems. They define and apply the trigonometric
relations sine, cosine, and tangent. |
| G.5.1 |
|
Prove and use the Pythagorean Theorem. |
|
6-5, 6-6 |
| G.5.2 |
|
State and apply the relationships that exist when
the altitude is drawn to the hypotenuse of a right
triangle. |
|
9-3, 9-4 |
| G.5.3 |
|
Use special right triangles (30° 60° and 45° 45°)
to solve problems. |
|
13-2, 13-3
|
| G.5.4 |
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Define and use the trigonometric functions (sine,
cosine, tangent, cosecant, secant, cotangent) in
terms of angles of right triangles. |
|
13-4, 13-5 |
| G.5.5 |
|
Know and use the relationship sin2
x + cos2 x = 1. |
|
9-5
|
| G.5.6 |
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Solve word problems involving right triangles. |
|
6-5, 6-6, 13-2, 13-3 |
Standard
6 Circles
Students define ideas related to circles: e.g., radius,
tangent. They find measures of angles, lengths, and
areas. They prove theorems about circles. They find
equations of circles. |
| G.6.1 |
|
Find the center of a given circle. Construct the
circle that passes through three given points (not
in a straight line). |
|
11-1, 11-2 |
| G.6.2 |
|
Define and identify relationships among: radius,
diameter, arc, measure of an arc, chord, secant,
and tangent. |
|
11-1, 11-2, 11-3, 14-1, 14-2, 14-3, 14-4, 14-5, 14-6 |
| G.6.3 |
|
Prove theorems related to circles. |
|
11-2, 11-3 |
| G.6.4 |
|
Construct tangents to circles, and circumscribe
and inscribe circles. |
|
11-4, 14-2, 14-4 |
| G.6.5 |
|
Define, find, and use measures of arcs and related
angles (central, inscribed, and intersections of
secants and tangents). |
|
11-2, 11-3, 14-1, 14-3, 14-4 |
| G.6.6 |
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Define and identify congruent and concentric circles. |
|
11-1
|
| G.6.7 |
|
Define, find, and use measures of circumference,
arc length, and areas of circles and sectors. Use
these measures to solve problems. |
|
11-2, 11-3, 11-5, 11-6 |
| G.6.8 |
|
Find the equation of a circle in the coordinate
plane in terms of its center and radius. |
|
14-6
|
Standard
7 Polyhedra and Other Solids
Students describe and make polyhedra and other solids.
They describe relationships and symmetries, and use
congruence and similarity. |
| G.7.1 |
|
Describe and make regular and non regular polyhedra. |
|
12-1
|
| G.7.2 |
|
Describe the polyhedron that can be made from
a given net (or pattern). Describe the net for a
given polyhedron. |
|
12-1, 12-2, 12-3, 12-4, 12-5
|
| G.7.3 |
|
Describe relationships between the faces, edges,
and vertices of polyhedra. |
|
12-1
|
| G.7.4 |
|
Describe symmetries of geometric solids. |
|
12-7
|
| G.7.5 |
|
Describe sets of points on spheres: chords, tangents,
and great circles. |
|
12-6
|
| G.7.6 |
|
Identify and know properties of congruent and
similar solids. |
|
12-7
|
| G.7.7 |
|
Find and use measures of sides, volumes of solids,
and surface areas of solids, and relate these measures
to each other using formulas. |
|
12-2, 12-3, 12-4, 12-5 |
Standard
8 Mathematical Reasoning and Problem Solving
Students use a variety of strategies to solve problems.
|
| G.8.1 |
|
Use a variety of problem solving strategies, such
as drawing a diagram, making a chart, guess and
check, solving a simpler problem, writing an equation,
and working backwards. |
|
3-2, 7-2, 7-4 |
| G.8.2 |
|
Decide whether a solution is reasonable in the
context of the original situation. |
|
1-6, 2-3, 7-4, 11-5, 12-6, 13-2, 14-2, 14-3 |
Standard
8 Mathematical Reasoning and Problem Solving
Students develop and evaluate mathematical arguments
and proofs. |
| G.8.3 |
|
Make conjectures about geometric ideas. Distinguish
between information that supports a conjecture and
proof of a conjecture. |
|
1-1, 1-5, 2-3, 15-3, 15-5, 15-6 |
| G.8.4 |
|
Write and interpret statements of the form "if-then"
and "if and only if." |
|
1-4
|
| G.8.5 |
|
State, use, and examine the validity of the converse,
inverse, and contrapositive of "if-then" statements. |
|
1-4 |
| G.8.6 |
|
Identify and give examples of undefined terms,
axioms, and theorems, and inductive and deductive
proof. |
|
1-3, 15-2, 15-3, 15-4, 15-5, 15-6
|
| G.8.7 |
|
Construct logical arguments, judge their validity,
and give counterexamples to disprove statements. |
|
15-1
|
| G.8.8 |
|
Write geometric proofs, including proofs by contradiction
and proofs involving coordinate geometry. Use and
compare a variety of ways to present deductive proofs,
such as flow chart, paragraph, two column, and indirect. |
|
15-2, 15-3, 15-4, 15-5, 15-6
|
| G.8.9 |
|
Perform basic constructions, describing and justifying
the procedures used. Distinguish between constructing
and drawing geometric figures. |
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1-3, 1-5, 2-3, 2-5, 3-2, 3-3, 3-7, 4-2, 4-4, 4-5, 6-2, 6-4, 6-6, 6-7, 7-1, 7-2, 7-4, 8-1, 8-2, 8-3, 8-4, 9-3, 9-4, 9-6, 9-7, 10-2, 10-3, 10-4, 10-5, 10-7, 11-3, 11-4, 11-5, 12-2, 12-3, 12-4, 12-5, 12-6, 13-2, 13-3, 13-5, 14-2, 14-4, 15-6, 16-3, 16-4, 16-5, 16-6
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—ISTEP+/GQE