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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.
Proving an Ecosystem’s Health Through Succession
Students engage in viewing day three of ecosystem changes in lab groups to determine if the ecosystem is healthy or unhealthy based on scientific data and factors.
Mendelian Genetics Using Monohybrids
Students will work collaboratively through a fictitious, real-world scenario to determine the probability of each breeding pair of dogs producing offspring with the desired trait for a fictitious client.
Using Linear Equations to Count Pecans
Students will write linear equations in point-slope form given two points via a verbal description.
Producing Plump Produce
In collaborative groups, the students investigate the transport of water within potato cells placed in various tonicity solutions.
Plant, Parts, and Function
Students use prior knowledge of body systems as they make connections to systems in plants. Students learn that some plant systems have similar functions as the respective animal systems. The lesson highlights the following systems in plants: root system, shoot system, vascular system, and reproductive system.
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.
Finding Specific Function Values (Verbal/Symbolic)
Given a verbal and symbolic representations of a function, the student will find specific function values.
Simplifying Polynomial Expressions
Given verbal and symbolic representations of polynomial expressions, the student will simplify the expression.
Solving Equations and Inequalities
Given verbal and symbolic representations in the form of equations or inequalities, the student will transform and solve the equations or inequalities.
Quadratics: Connecting Roots, Zeros, and x-Intercepts
Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.
Applying the Laws of Exponents: Verbal/Symbolic
Given verbal and symbolic descriptions of problems involving exponents, the student will simplify the expressions using the laws of exponents.
Using the Laws of Exponents to Solve Problems
Given problem situations involving exponents, the student will use the laws of exponents to solve the problems.
Formulating Systems of Equations (Verbal → Symbolic)
Given verbal descriptions of situations involving systems of linear equations the student will analyze the situations and formulate systems of equations in two unknowns to solve problems.
Solving Quadratic Equations Using Graphs
Given a quadratic equation, the student will use graphical methods to solve the equation.
Writing Equations to Describe Functional Relationships (Verbal → Equation)
Given a problem situation represented in verbal form, students will write an equation that can be used to represent the situation.
Writing Inequalities to Describe Relationships (Verbal → Symbolic)
Given a problem situation represented in verbal form, students will write an inequality that can be used to represent the situation.