Write algebraic expressions and equations using variables.
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This section explores logarithms as operations that are the inverse of exponents. It investigates the process for "undoing" or "eliminating" variable exponents when solving exponential equations.
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This section explores normal distribution curves that have a unique, bell-like shape and represent data that is "normally" distributed. It also addresses how many real-life situations can be modeled by normal distribution curves.
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This site from Richland Community College provides lecture notes to a class on Algebra. It covers a wide array of topics including functions, quadratic equations, inequalities, and much more.
Solve single variable addition and subtraction equations by using mental math
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In this lesson students write multiplication and division phrases as single variable expressions. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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Use cross products to solve proportions with a variable in the denominator
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Use algebra to solve proportions with the variable in the numerator.
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Students analyze the relationship between wheel radius, linear velocity and angular velocity by using LEGO(TM) MINDSTORMS(TM) NXT robots. Given various robots with different wheel sizes and fixed motor speeds, they predict which has the fastest linear velocity. Then student teams collect and graph data to analyze the relationships between wheel size and linear velocity and find the angular velocity of the robot given its motor speed. Students explore other ways to increase linear velocity by changing motor speeds, and discuss and evaluate the optimal wheel size and desired linear velocities on vehicles.
This lesson teaches the engineering method for testing wherein one variable is changed while the others are held constant. Students compare the performance of a single paper airplane design while changing the shape, size and position of flaps on the airplane. Students also learn about control surfaces on the tail and wings of an airplane.
In this lesson, students are introduced to audio engineers. They discover in what type of an environment audio engineers work and exactly what they do on a day-to-day basis. Students come to realize that audio engineers help produce their favorite music and movies.
Students visualize and interact with concepts already learned, specifically algebraic equations and solving for unknown variables. They construct a balancing seesaw system (LEGO® Balance Scale) made from LEGO MINDSTORMS® parts and digital components to mimic a balancing scale. They are given example algebraic equation problems to analyze, configure onto the balance scale, and evaluate by manipulating LEGO pieces and gram masses that represent terms of an equation such as unknown variables, coefficients and integers. Digital light sensors, built into the LEGO Balance Scale, detect any balance or imbalances displayed on the balancing scale. The LEGO Balance Scale interactively issues a digital indication of balance or imbalance within the system. If unbalanced, students continue using the LEGO Balance Scale until they are confident in their understanding of solving algebraic equations. The goal is for students to become confident in solving algebraic equations by fundamentally understanding the basics of algebra and real-world algebraic applications.
Predict the number of blocks you need to equal the weight of one bag and then test your theory. This interactive exercise focuses on using critical thinking skills to add and subtract items on the scales to achieve balance and visual problem solving.
The purpose of this activity is to bring together the students' knowledge of engineering and airplanes and the creation of a glider model to determine how each modification affects the flight. The students will use a design procedure whereby one variable is changed and all the others are kept constant.
A tutorial on how to graph a linear inequality in two variables. The tutorial offers step-by-step instruction and examples of how to graph linear inequalities.
Students use the scientific method to determine the effect of control surfaces on a paper glider. They construct paper airplanes (model gliders) and test their performance to determine the base characteristics of the planes. Then they change one of the control surfaces and compare the results to their base glider in order to determine the cause and effect relationship of the control surfaces.
Biology 2e is designed to cover the scope and sequence requirements of a typical two-semester biology course for science majors. The text provides comprehensive coverage of foundational research and core biology concepts through an evolutionary lens. Biology includes rich features that engage students in scientific inquiry, highlight careers in the biological sciences, and offer everyday applications. The book also includes various types of practice and homework questions that help students understand—and apply—key concepts. The 2nd edition has been revised to incorporate clearer, more current, and more dynamic explanations, while maintaining the same organization as the first edition. Art and illustrations have been substantially improved, and the textbook features additional assessments and related resources.
By the end of this section, you will be able to do the following:
Identify the shared characteristics of the natural sciences
Summarize the steps of the scientific method
Compare inductive reasoning with deductive reasoning
Describe the goals of basic science and applied science
