Pilot Geometry
In this course, students will build understanding of the following modules: Reasoning with Shapes, Establishing Congruence, Investigating Proportionality, Connecting Geometric and Algebraic Descriptions, and Making Informed Decisions.
Each module is broken up into topics where you will find teacher materials to guide the instruction and the student materials both used in the classroom for learning together and learning individually.
The agency developed these learning resources as a contingency option for school districts during COVID. All resources are optional. Prior to publication, materials go through a rigorous third-party review. Review criteria include TEKS alignment, support for all learners, progress monitoring, implementation supports, and more. Products also are subject to a focus group of Texas educators.
Pilot Algebra Foundations
The primary purpose of the Algebra Foundations course is to promote opportunities for deep understanding of core algebraic concepts to develop algebraic thinkers. The course is composed of 5 topics: Operating with Rational Numbers, Expressions and Equations, Developing Function Foundations, Modeling Linear Equations, and Quadratics. Throughout these topics, students have the opportunity to develop foundational understandings and draw connections to key concepts.
This course is intended to strengthen foundational conceptual understandings from middle school math through Algebra I and is designed to be flexible in meeting the needs of students. Your individual course is created based solely on data that suggests which topics will best develop your students as algebraic thinkers. Each learning session is designed to further develop a skill, and together, these sessions connect skills and concepts to key algebraic understandings. The student learning experience of the Algebra Foundations course promotes conceptual understanding through a focus on active learning and making sense of the mathematics.
Using Theoretical and Experimental Probability to Make Predictions
Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.
Using Multiplication by a Constant Factor
Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.
Predicting, Finding, and Justifying Data from a Table
Given data in table form, the student will use the data table to interpret solutions to problems.
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 with a true converse.
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.
Estimating and Finding Solutions to Problems Involving Similarity and Rates
Given application problems involving similarity and rates, the student will estimate and determine the solutions to the problems.
Generating Similar Figures Using Dilations
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
Given pictorial representations, the student will use geometric concepts and properties to solve problems from art and architecture.
Using Proportional Relations to Find Missing Measurements of Two-Dimensional Figures
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
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
Given real-life problems, the student will select an appropriate method and solve problems involving proportional relationships.
Exploring Probability with Dependent Events
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
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.
Using Logical Reasoning to Prove Conjectures about Circles
Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.
Creating Nets for Three-Dimensional Figures
Given nets for three-dimensional figures, the student will apply the formulas for the total and lateral surface area of three-dimensional figures to solve problems using appropriate units of measure.
Drawing Conclusions about Three-Dimensional Figures from Nets
Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.
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 angles.
Determining Area: Sectors of Circles
Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.