Determining Area: Sectors of Circles
Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.
Making Conjectures About Circles and Segments
Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.
Determining Area: Regular Polygons and Circles
The student will apply the formula for the area of regular polygons to solve problems.
Making Conjectures About Circles and Angles
Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.
Domain and Range: Numerical Representations
Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
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.
Domain and Range: Graphs
Given a function in graph form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Domain and Range: Function Notation
Given a function in function notation form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Domain and Range: Verbal Description
The student will be able to identify and determine reasonable values for the domain and range from any given verbal description.
Domain and Range: Contextual Situations
The student will be able to identify and determine reasonable values for the domain and range from any given contextual situation.
Modeling Data with Linear Functions
Given a scatterplot where a linear function is the best fit, the student will interpret the slope and intercepts, determine an equation using two data points, identify the conditions under which the function is valid, and use the linear model to predict data points.
Formulating Systems of Inequalities
Given a contextual situation, the student will formulate a system of two linear inequalities with two unknowns to model the situation.
Solving Systems of Equations Using Substitution
Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of substitution.
Solving Systems of Equations Using Elimination
Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of elimination.
Solving Systems of Equations with Three Variables
Given a system of three linear equations, the student will solve the system with a unique solution.
Solving Systems of Equations Using Matrices
Given a system of up to three linear equations, the student will solve the system using matrices with technology.
5.01 Radians and Degree Measurements
In this video, students will learn the basics of angle measurements, definitions of various types of angles, radians and degrees, along with arc length and area of a sector.
5.02 Linear and Angular Velocity
In this video, students will learn about angular and linear velocity and how each relates to unit conversions.
5.03 Trigonometric Ratios
In this video, we will define the trigonometric ratios in terms of the sides of a right triangle.