Module 3: Investigating Growth and Decay
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Algebra I - Module 1, Topic 2: Sequences
In this topic, students explore sequences represented as lists of numbers, in tables of values, by equations, and as graphs on the coordinate plane. Students move from an intuitive understanding of patterns to a more formal approach of representing sequences as functions. In the final lesson of the topic, students are introduced to the modeling process. Defined in four steps—Notice and Wonder, Organize and Mathematize, Predict and Analyze, and Test and Interpret—the modeling process gives students a structure for approaching real-world mathematical problems.
Algebra I - Module 1, Topic 3: Linear Regressions
In this topic, students focus on the patterns that are evident in certain data sets and use linear functions to model those patterns. Using the informal knowledge of lines of best fit that was built in previous grades, students advance their statistical methods to make predictions about real-world phenomena. They differentiate between correlation and causation, recognizing that a correlation between two quantities does not necessarily mean that there is also a causal relationship. At the end of this topic, students will synthesize what they have learned to decide whether a linear model is appropriate.
Geometry
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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.
Documenting Sources and Writing a Bibliography/Works Cited (English III Research )
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You will learn how to cite your sources in the body of your research paper and write a works cited page according to the Modern Language Association (MLA) style manual.
Using Theoretical and Experimental Probability to Make Predictions
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Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.
Using Logical Reasoning to Prove Conjectures about Circles
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Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.
Creating Nets for Three-Dimensional Figures
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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
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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
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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
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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.
Converting Between Measurement Systems
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Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.
Making Conjectures About Circles and Segments
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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 and relationships among the resulting segments.
Determining Area: Regular Polygons and Circles
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The student will apply the formula for the area of regular polygons to solve problems.
Making Conjectures About Circles and Angles
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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.
Using Multiplication by a Constant Factor
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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
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Given data in table form, the student will use the data table to interpret solutions to problems.
Interpreting Scatterplots
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Given scatterplots that represent problem situations, the student will determine if the data has strong vs weak correlation as well as positive, negative, or no correlation.
Making Predictions and Critical Judgments (Table/Verbal)
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Given verbal descriptions and tables that represent problem situations, the student will make predictions for real-world problems.