| State Performance Indicators |
Student Lesson(s) |
| spi.1.1.A |
order a set of rational and irrational numbers.
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| spi.1.1.B |
find an integral power of a positive rational
number (exponents 1-3) |
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| spi.1.2.A |
use absolute value to express the distance between
two points on a number line and vice versa. |
|
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| spi.1.2.B |
simplify a radical (radicand less than 1000).
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| spi.1.2.C |
match a given irrational number to the appropriate
point on a number line and vice versa (e.g., , p). |
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| spi.2.1.A |
extend or find missing element(s) in a geometric
pattern. |
|
2-1,
6-6, 9-4 |
| spi.2.1.B |
solve multistep linear equations to find length,
width, perimeter, and area of geometric figures. |
|
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| spi.2.1.C |
apply the concept of rate of change to solve a
real-world problem given a pattern of data. |
|
3-3 |
| spi.2.1.D |
determine the slope given a graph of a linear
equation and vice versa. |
|
3-3 |
| spi.2.1.E |
determine the distance, midpoint, or slope when
given the coordinates of two points (answers must be given as decimals
to the nearest hundredth). |
|
1-3,
3-3 |
| spi.2.2.A |
determine the equation of a line parallel or perpendicular
to a given line, from given information (e.g., equations of lines,
graphs of lines, or two points). |
|
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| spi.2.2.B |
apply ratio and proportion
to solve real-world problems involving polygons, (e.g., scale drawings,
similar figures). |
|
6-2 |
| spi.2.2.C |
apply the triangle inequality property to determine
which sets of side lengths determine a triangle. |
|
5-4 |
| spi.2.2.D |
determine the perimeter, area, or volume given
the ratio of two similar polygons or rectangular solids. |
|
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| spi.2.2.E |
apply the Triangle Sum Theorem or Exterior Angle
Theorem to determine the measures of the angles of a given triangle
with the angle measures expressed algebraically. |
|
4-2 |
| spi.2.3.A |
determine the equation of a circle given coordinates
or the graph of the circle (e.g., the center, the endpoints of the
diameter). |
|
10-8 |
| spi.3.1.A |
identify corresponding parts of similar and congruent
geometric figures given a diagram. |
|
4-3,
4-4,
4-5,
4-6,
6-1,
6-2,
6-3,
6-4,
6-5
|
| spi.3.1.B |
determine the length of a missing side in a right
triangle when given two sides (answers must be given as simplified
radicals). |
|
7-2,
7-3,
7-5 |
| spi.3.2.A |
identify properties of plane figures from information
given in a diagram. |
|
4-1,
4-2,
4-3,
4-6,
8-2,
8-3 |
| spi.3.2.B |
identify chords, inscribed angles, or central
angles of circles given a diagram. |
|
10-1,
10-2,
10-3,
10-4 |
| spi.3.2.C |
determine congruence or similarity relations
between triangles or quadrilaterals given a diagram. |
|
4-3,
4-4,
4-5,
6-2,
6-3,
6-5 |
| spi.3.2.D |
determine whether a plane figure has been translated,
dilated, reflected, or rotated given a diagram and vice versa. |
|
9-1,
9-2,
9-3,
9-5 |
| spi.3.2.E |
solve problems involving complementary, supplementary,
congruent, vertical, or adjacent angles given angle measures expressed
algebraically. |
|
1-5,
2-8 |
| spi.3.2.F |
determine the trigonometric ratio for a right
triangle needed to solve a real-world problem given a diagram. |
|
7-4,
7-5 |
| spi.3.2.G |
find a missing side length in a 30-60-90 or 45-45-90
degree triangle without rationalizing the denominator. |
|
7-3 |
| spi.3.2.H |
apply properties of quadrilaterals to solve a
real-world problem given a diagram (opposite sides and angles, consecutive
sides and angles, or diagonals). |
|
8-2,
8-3,
8-4,
8-5,
8-6 |
| spi.3.2.I |
solve real-world problems involving measures of
interior or exterior angles of regular polygons. |
|
8-1 |
| spi.3.2.J |
identify the appropriate segment of a triangle
given a diagram and vice versa (i.e. median, altitude, angle bisector,
perpendicular bisector). |
|
5-1 |
| spi.3.2.K |
determine which three-dimensional solid is represented
by a given net and vice versa (two-dimensional drawing). |
|
12-2 |
| spi.3.2.L |
determine the area of indicated regions involving
circles, squares, rectangles, and/or triangles. |
|
11-1,
11-2,
11-3 |
| spi.3.2.M |
justify triangle congruence given a diagram (i.e.,
ASA, SSS, AAS, SAS, or Hypotenuse/ Leg). |
|
4-4,
4-5 |
| spi.3.2.N |
determine if a triangle is a right triangle given
the length of all the sides of a triangle. |
|
7-2 |
| spi.3.3.A |
solve problems involving the properties of arcs,
chords, tangents, or secants. |
|
10-1,
10-2,
10-3,
10-5,
10-6 |
| spi.3.3.B |
find the area of a sector of a circle given a
diagram. |
|
11-5 |
| spi.4.1.A |
determine the perimeter or area of a triangle
or rectangle when the dimensions are given as first degree binomials
in one variable. |
|
1-6 |
| spi.4.1.B |
solve real world problems involving perimeter
or area of three or four sided plane figures. |
|
1-6,
11-1,
11-2,
11-4 |
| spi.4.2.A |
determine the volume or surface area of a rectangular
solid or cylinder in a real-world situation. |
|
12-2,
12-3,
12-4,
13-1 |
| spi.4.3.A |
determine whether a reading falls within an acceptable
tolerance range. |
|
1-2 |
| spi.5.1.A |
make a prediction from a geometric representation
of a real-world data set. |
|
11-5 |
| spi.5.2.A |
determine the probability of an event represented
as a subset of the area of a two-dimensional geometric figure. |
|
11-5 |
Extra Examples—
—EOC