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.
Analyzing the Effects of the Changes in "a" on the Graph y = ax^2 + c
Given verbal, graphical, or symbolic descriptions of the graph of y = ax^2 + c, the student will investigate, describe, and predict the effects on the graph when a is changed.
Solving Quadratic Equations Using Concrete Models
Given a quadratic equation, the student will use tiles to factor and solve the equation.
Solving Quadratic Equations Using Algebraic Methods
Given a quadratic equation, the student will solve the equation by factoring, completing the square, or by using the quadratic formula.
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.
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.
Solving Systems of Equations with Graphs
Given verbal and/or algebraic descriptions of situations involving systems of linear equations, the student will solve the system of equations using graphs.
Kid2Kid: Determining the Meaning of Slope and Intercepts
Kid2Kid videos on determining the meaning of slope and intercepts in English and Spanish
Protein Synthesis
The learner explores the structure and function of the nucleic acids and enzymes important to the process of synthesizing proteins.
Cell Comparisons
Learners compare a variety of prokaryotes and eukaryotes to determine similarities and differences among and between them.
Covalent Bonding: Electron Dot Diagrams
Given descriptions, diagrams, scenarios, or chemical symbols, students will model covalent bonds using electron dot formula (Lewis structures).
3.04 Bar Charts
In this video, students learn about bar charts as well as how to read and construct one.
3.05 Comparing Distributions
In this video, students will compare bar charts, pie charts, and frequency tables to see differences in results.
2.01 Sample Surveys
In this video, students are introduced to surveys and the idea that substantial size and random selection are necessary for good results.
2.02 Sources of Bias in Sampling and Surveys
In this video, students learn about the bias that occurs in sampling.
2.03 Sampling Methods, Part 1
In this video, students learn various ways of obtaining sample data.
2.04 Sampling Methods, Part 2
In this video, students continue with practice problems about different sampling techniques.