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Product and Quotient Properties of Exponents
This lesson helps students understand two foundational exponential properties: The Product and Quotient Properties of Exponents. Students will collaborate to formulate a rule for these properties. Ultimately, students should conclude that when the same bases are being multiplied, exponents will be added; and when the same bases are being divided, exponents will be subtracted. As the lesson progresses, students will apply these rules to simplify expressions of various difficulties.
Using Linear Equations to Count Pecans
Students will write linear equations in point-slope form given two points via a verbal description.
Working with Literal Equations
The lesson will provide a conceptual basis for illustrating the parallelism between solving multi-step equations and translating literal equations into solutions for specified variables.
No Interest If Paid in Full: How Much Do I Owe?
Students will write a linear equation from a real-world situation, identify the components of the equation, and interpret their meanings in the problem’s context.
Students will collaborate to solve a word problem involving rates of change using their prior knowledge and create a graph and/or table showing their work.
Identifying Key Features of Quadratic Functions
The students will be able to graph quadratic functions using key attributes of quadratic equations.
After being placed in groups, students will apply vector addition and subtraction strategies along with a map of the Paradise, California area to determine which town should evacuate first when threatened by the Camp Wildfire.
Square Root Regression
This lesson is a student discovery lesson that culminates in square root regression with technology. Students will use their study of inverses, the relationship between quadratic and square root functions, their previous knowledge of regression, and determine how to find the square root regression of real-world data.