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.
6.01 Classifications of Waves
In this video, we explore the two fundamental categories of waves and give physical examples of each.
6.02 Properties of Waves
In this video, we define the fundamental quantities associated with waves, including frequency, period, amplitude, and speed.
6.03 Sound Waves
In this video, we explore how the mathematics and concepts of waves apply to a specific type of wave: sound.
6.04 The Doppler Effect and Interference
In this video, we explore the Doppler effect, which modulates the perceived frequency of waves depending on the relative motion between source and observer.
6.05 Applications of Waves
In this video, we explore how the mathematics and concepts of waves apply in the everyday world.
7.01 Electric Charge
In this video, we define electric charge, conductors, and insulators.
7.02 Coulomb's Law
In this video, we define Coulomb's law and examine the interaction between two stationary, charged particles.
7.03 Electric Field
In this video, we define the electric field and field line conventions.
2.01 Laboratory Safety
In this video, we review lab safety procedures.
2.02 Measurement and Error
In this video, we review the proper ways to measure quantities and how to account for errors due to measurement.
2.03 The International System of Units
In this video, we discuss the use of and importance of the International System of Units (SI).
2.04 Techniques for Graphing and Reporting Data
In this video, we discuss techniques for graphing and reporting data.
2.05 Vectors and Trigonometry
In this video, we present an overview of vectors and trigonometric functions, which are helpful in solving physics problems.
4.01 Newton's First Law
In this video, we explore the law of inertia, which states that when no net force acts on an object, that object travels with a constant velocity.
4.02 Newton's Second Law
In this video, we explore the relationship between force and acceleration.
4.03 Newton's Third Law
In this video, we explore the fact that forces come in linked pairs.
4.04 Momentum and Impulse
In this video, we introduce the concepts of momentum and impulse.