Generating Similar Figures Using Dilations
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Given a figure, the student will identify the scale factor used for a dilation, and use a dilation by a scale factor, including enlargements and reductions, to generate similar figures.
Using Geometric Concepts and Properties to Solve Problems
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Given pictorial representations, the student will use geometric concepts and properties to solve problems from art and architecture.
Using Logical Reasoning to Prove Conjectures About Quadrilaterals
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Given conjectures about quadrilaterals, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.
Using Proportional Relations to Find Missing Measurements of Two-Dimensional Figures
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Given pictorial representations and problem situations of 2-dimensional figures or 3-dimensional figures, the student will use proportional reasoning to find a missing measurement.
Using Rational Numbers to Solve Problems
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Given a problem situation in verbal form, students will select and use an operation involving rational numbers in order to solve the problem.
Selecting and Using Appropriate Forms of Rational Numbers
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Given real-life problems, the student will select an appropriate method and solve problems involving proportional relationships.
Exploring Probability with Dependent Events
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The student will investigate and develop the concept of dependent probability, including formalizing procedures related to dependent probability and applications of dependent probability.
Finding Lateral and Total Surface Area
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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.
Making and Verifying Conjectures about Lines
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Students will investigate patterns and make conjectures about geometric relationships.
Making and Verifying Conjectures about Polygons
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Students will investigate patterns and make conjectures about geometric relationships, including interior angles of polygons.
Making and Verifying Conjectures About Circles
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Given information about the relationship(s) witnin one circle or a set of circles, the student will explore special segments and angles of circles.
Writing the Converse, Inverse, and Contrapositive
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Given a conditional statement, the student will write its converse, inverse, and contrapositive.
Making and Verifying Conjectures about Three-Dimensional Figures
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Students will explore volume conjectures and solve problems by applying the volume formulas to composite figures.
Constructing and Justifying Statements about Geometric Figures
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Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.
Using Counter Examples to Disprove Statements That Are False
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Given statements about a geometric relationship, the student will use counter examples to disprove statements that are false.
Using Inductive Reasoning to Formulate Conjectures
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Students will practice identifying the converse, inverse, and contrapositive of conditional statements.
Using Logical Reasoning to Prove Statements are True
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Given statements about a geometric relationship, the student will distinguish between the undefined terms, definitions, postulates, conjectures, and theorems to prove the statements are true.
Using Properties of Transformations
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Given examples of mathematics in the real world, the student will use properties of transformations and their composites to describe and perform transformations of figures in a plane.
Developing Algebraic Expressions to Represent Geometric Properties
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The student will investigate patterns to make conjectures.
Developing Algebraic Expressions to Represent Geometric Properties of Polygons
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Given numerical and/or geometric patterns that represent geometric properties of polygons, the student will develop algebraic expressions that represent the geometric properties.