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Texas Gateway: Finding Lateral and Total Surface Area
Given concrete models and nets (2-dimensional models) of prisms, pyramids, and cylinders, the student will find and determine the lateral and total surface area.
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Texas Gateway: Generalizing Geometric Properties of Ratios in Similar Figures
Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding...
Texas Education Agency
Texas Gateway: Generating Equivalent Forms of Rational Numbers
Given information about a rational number in one form (fraction, decimal, or percent) in a real-world context such as financial mathematics, students will generate an equivalent rational number in a different form.
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Texas Gateway: Graphing and Applying Coordinate Dilations
Given a coordinate plane or coordinate representations of a dilation, the student will graph dilations and use those graphs to solve problems.
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Texas Gateway: Graphing Conic Sections: Ellipses
Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.
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Texas Gateway: Graphing Conic Sections: Hyperbolas
Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.
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Texas Gateway: Graphing Data to Demonstrate Relationships
Given problem situations, the student will graph data with a constant rate of change to demonstrate relationships in familiar concepts, such as scaling.
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Texas Gateway: Graphing Proportional Relationships
Given a proportional relationship, students will be able to graph a set of data from the relationship and interpret the unit rate as the slope of the line.
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Texas Gateway: Introducing Conic Sections
Given a verbal description or a pictorial representation, the student will describe a conic section as the intersection of a cone and a plane.
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Texas Gateway: Introduction to Coordinate Geometry
The students will use multiple representations of undefined terms on a coordinate plane to solve problems.
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Texas Gateway: Introduction to Logical Reasoning
This activity provides the opportunity to explore the validity of the converse, inverse, and contrapositive of statements. It also assists in recognizing the connections between biconditional statements and true conditional statements...
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Texas Gateway: Introduction to Probability
This activity provides the opportunity to explore the difference between finding the probability of independent events and dependent events. It also addresses how to use a tree diagram when calculating conditional probabilities.
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Texas Gateway: Investigating and Applying Dimension Changes: Area
The student will describe the effects of changing one or more dimensions on the area of a figure.
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Texas Gateway: Investigating and Applying Dimension Changes: Perimeter
Given problem situations involving similar figures, the student will describe the effect on perimeter when one or more dimensions of the figure are changed and apply this idea in solving problems.
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Texas Gateway: Investigating and Applying Dimension Changes: Volume
The student will describe the effects of changing one or more dimensions on the volume of a 3-dimensional figure.
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Texas Gateway: Making and Verifying Conjectures About Angles
Given the relationship(s) among a set of angles, the student investigates the patterns and makes conjectures about the geometric relationships, including angles formed by parallel lines cut by a transversal.
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Texas Gateway: Making and Verifying Conjectures About Circles
Given information about the relationship(s) witnin one circle or a set of circles, the student will explore special segments and angles of circles.
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Texas Gateway: Making and Verifying Conjectures About Lines
Students will investigate patterns and make conjectures about geometric relationships.
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Texas Gateway: Making and Verifying Conjectures About Polygons
Students will investigate patterns and make conjectures about geometric relationships, including interior angles of polygons.
Texas Education Agency
Texas Gateway: Making and Verifying Conjectures About Three Dimensional Figures
Students will explore volume conjectures and solve problems by applying the volume formulas to composite figures.
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Texas Gateway: Making and Verifying Conjectures About Triangles
Given examples of triangles and their component parts, the student will use explorations and concrete models to verify and apply the and find the sum of interior angles.
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Texas Gateway: Making Conjectures About Circles and Angles
Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.
Texas Education Agency
Texas Gateway: Making Conjectures About Congruence Transformations
Given geometric figures on the coordinate plane, the student will apply the definition of congruence, in terms of rigid transformations, to identify congruent figures. The student will also identify and distinguish between reflectional...
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Texas Gateway: Making Conjectures About Other Polygons
Given information about the properties of polygons, students will verify theorems about the relationships, including the sum of interior angles, and apply these relationships to solve problems.