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.
Interpreting Scatterplots
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)
Given verbal descriptions and tables that represent problem situations, the student will make predictions for real-world problems.
Collecting Data and Making Predictions
Given an experimental situation, the student will write linear functions that provide a reasonable fit to data to estimate the solutions and make predictions.
Writing Expressions to Model Patterns (Table/Pictorial → Symbolic)
Given a pictorial or tabular representation of a pattern and the value of several of their terms, the student will write a formula for the nth term of a sequences.
Disruptions of the Cell Cycle: Cancer
Given illustrations or descriptions, students will identify disruptions of the cell cycle that lead to diseases such as cancer.
Taxonomy Standards
Given examples, students will recognize the importance of taxonomy to the scientific community.
Taxonomy: Major Groups
Given illustrations or descriptions, students will determine the classification of organisms into domains and kingdoms.
Homeostasis: Ecological Systems
Given images, videos, or scenarios, identify and describe the responses of organisms, populations, and communities to various changes in their external environment.
Biological Systems: Homeostasis
Identify and describe internal feedback mechanisms involved in maintaining homeostasis given scenarios, illustrations, or descriptions.
Relationships Between Organisms: Food Chains, Webs, and Pyramids
Given illustrations, students will analyze the flow of matter and energy in food chains, food webs, and ecological pyramids.
Organisms' Adaptations
Given scenarios, illustrations. or descriptions, the student will compare variations and adaptations of organisms in different ecosystems.
Investigating and Comparing Life Cycles
A Tier I life science instructional resource for grade 3
What’s Trending with the Elements?
This resource, aligned with Chemistry TEKS (5)(C), provides alternative or additional tier-one learning options for students using the periodic table to identify and explain trends.
Sedimentary Rocks and Fossil Fuels
A Tier 1 earth science instructional resource for grade 5.
Light: Reflection and Refraction
This is a tier I instructional resource to provide a scaffolded learning experience for TEKS (5)(6)(C).
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.
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.