Unpacking the EOC Geometry Release Items Eligible Texas Essential Knowledge and Skills

Unpacking the EOC

Geometry Release Items

Eligible Texas Essential Knowledge and Skills

Texas Education Agency Student Assessment Division Fall 2010

Examining STAAR Implications for Teaching

Number of Non-linguistic Representations

Number of questions involving algebra

Number of questions that are real world

Easily solved on calculator

DOK Levels1 2 3 4

Total

Readiness G.2.B(2) Geometric structure. The student analyzes geometric relationships in order to make and verify conjectures. The student is expected to:(B) make conjectures about angles, lines, polygons, circles, and three-dimensional figures and determine the validity of the conjectures, choosing from a variety of approaches such as coordinate, transformational, or axiomatic.

Number of steps it takes to solve the problem.

2 – 3 steps

What part of the SE is being tested?

Make conjectures to determine which mathematical statement is correct about the given figure.

What do the students need to know in order to answer the question correctly?

Students must understand that if they connect point x and z with a line that it will be smaller than twice the length of XY.

DOK: Level (Evidence)

Level 3, provide mathematical justifications.

Academic Vocabulary Write (S) it is stated and (I) if it is implied

Collinear (S)Inductive reasoning (I)Euclidean geometry (I)

How is it being tested?Students must select the appropriate answer by making conjectures about the given figure.

Taught inCSCOPE

1st , 2nd and 4th

nine weeksUnits 1, 2, 4, 5, 6, 11, 12

Readiness G.3.C(3) Geometric structure. The student applies logical reasoning to justify and prove mathematical statements. The student is expected to:(C) use logical reasoning to prove statements are true and find counter examples to disprove statements that are false;


Level 2

What part of the SE is being tested? What do the students need to know in order to answer the question correctly?



How is it being tested?

Taught inCSCOPE

1st , 2nd and 4th

nine weeksUnits 1, 3, 4, 5, 11

Supporting G.3.E(3) Geometric structure. The student applies logical reasoning to justify and prove mathematical statements. The student is expected to:(E) use deductive reasoning to prove a statement.






Taught inCSCOPE1st and 4th

nine weeksUnits 1, 3, 11, 12

Readiness G.5.A(5) Geometric patterns. The student uses a variety of representations to describe geometric relationships and solve problems. The student is expected to:(A) use numeric and geometric patterns to develop algebraic expressions representing geometric properties;

Number of steps it takes to solve the problem. What part of the SE is being tested? What do the students need to know in order to answer the question correctly?

.




Taught inCSCOPE

1st , 2nd , 3rd and 4th

nine weeksUnits 2, 4, 5, 7, 9, 11

Supporting G.5.C(5) Geometric patterns. The student uses a variety of representations to describe geometric relationships and solve problems. The student is expected to:(C) use properties of transformations and their compositions to make connections between mathematics and the real world, such as tessellations;






Taught inCSCOPE1st and 4th

nine weeksUnits 2, 11, 12

Readiness G.5.D(5) Geometric patterns. The student uses a variety of representations to describe geometric relationships and solve problems. The student is expected to:

(D) identify and apply patterns from right triangles to solve meaningful problems, including special right triangles (45-45-90 and 30-60-90) and triangles whose sides are Pythagorean triples.






Taught inCSCOPE2nd and 4th


Supporting G.6.A(6) Dimensionality and the geometry of location. The student analyzes the relationship between three-dimensional geometric figures and related two-dimensional representations and uses these representations to solve problems. The student is expected to:(A) describe and draw the intersection of a given plane with various three-dimensional geometric figures;






Taught inCSCOPE3rd and 4th

nine weeksUnits 9, 11

Supporting G.6.C(6) Dimensionality and the geometry of location. The student analyzes the relationship between three-dimensional geometric figures and related two-dimensional representations and uses these representations to solve problems. The student is expected to:(C) use orthographic and isometric views of three-dimensional geometric figures to represent and construct three-dimensional geometric figures and solve problems.




How is it being tested?…



Readiness G.7.B(7) Dimensionality and the geometry of location. The student understands that coordinate systems provide convenient and efficient ways of representing geometric figures and uses them accordingly. The student is expected to:(B) use slopes and equations of lines to investigate geometric relationships, including parallel lines, perpendicular lines, and special segments of triangles and other polygons;



.




…

Taught inCSCOPE

1st , 2nd and 4th


Supporting G.8.F(8) Congruence and the geometry of size. The student uses tools to determine measurements of geometric figures and extends measurement concepts to find perimeter, area, and volume in problem situations. The student is expected to:(F) use conversions between measurement systems to solve problems in real-world situations.






…



Supporting G.9.B(9) Congruence and the geometry of size. The student analyzes properties and describes relationships in geometric figures. The student is expected to:(B) formulate and test conjectures about the properties and attributes of polygons and their component parts based on explorations and concrete models;


.




Taught inCSCOPE

2nd , 3rd and 4th


Readiness G.10.B(10) Congruence and the geometry of size. The student applies the concept of congruence to justify properties of figures and solve problems. The student is expected to:(B) justify and apply triangle congruence relationships.


What part of the SE is being tested? What do the students need to know in order to answer the question correctly?.






Supporting G.11.A(11) Similarity and the geometry of shape. The student applies the concepts of similarity to justify properties of figures and solve problems. The student is expected to:(A) use and extend similarity properties and transformations to explore and justify conjectures about geometric figures;





Taught inCSCOPE

1st , 2nd and 4th


Readiness G.11.C(11) Similarity and the geometry of shape. The student applies the concepts of similarity to justify properties of figures and solve problems. The student is expected to:(C) develop, apply, and justify triangle similarity relationships, such as right triangle ratios, trigonometric ratios, and Pythagorean triples using a variety of methods;


What part of the SE is being tested? What do the students need to know in order to answer the question correctly?.





nine weeksUnits 5, 11

Readiness G.11.D(11) Similarity and the geometry of shape. The student applies the concepts of similarity to justify properties of figures and solve problems. The student is expected to:(D) describe the effect on perimeter, area, and volume when one or more dimensions of a figure are changed and apply this idea in solving problems.

Number of steps it takes to solve the problem. What part of the SE is being tested?

What do the students need to know in order to answer the question correctly?






Unpacking the EOC Geometry Release Items Eligible Texas Essential Knowledge and Skills

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