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.
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.
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.
5.04 Trigonometric Angles and the Unit Circle
In this video, students will learn special angles and the unit circle, and learn how to apply them.
5.05 Graphs of Sine and Cosine
In this video, students will learn how to graph sine and cosine and how to interpret graphs of sine and cosine.
5.06 Graphs of Secant and Cosecant
In this video, students will learn how to graph and interpret graphs of secant and cosecant, and how secant and cosecant relate to sine and cosine.
5.07 Graphs of Tangent and Cotangent
In this video, students will learn how to graph and how to interpret graphs of tangent and cotangent.
5.08 Inverse Trigonometric Functions and Graphs
In this video, students will explore the relationship between trigonometric functions and their inverses.
Using Properties of Transformations
Given examples of mathematics in the real world, the student will use properties of transformations and their composites to describe and perform transformations of figures in a plane.
Developing Algebraic Expressions to Represent Geometric Properties
The student will investigate patterns to make conjectures.
Developing Algebraic Expressions to Represent Geometric Properties of Polygons
Given numerical and/or geometric patterns that represent geometric properties of polygons, the student will develop algebraic expressions that represent the geometric properties.
Developing Algebraic Expressions to Represent Geometric Properties of Angle Relationships in Polygons
Given numerical and/or geometric patterns that represent geometric properties of angle relationships in polygons, the student will investigate patterns to make conjectures about interior and exterior angles of polygons.
Applying Pythagorean Triples to Solve Problems
Given verbal and pictorial representations of problem situations, the student will apply patterns from right triangles whose sides are Pythagorean Triples to solve the problems.
Introduction to Coordinate Geometry
The students will use multiple representations of undefined terms on a coordinate plane to solve problems.
Coordinate Geometry: Parallel and Perpendicular Lines
Given characteristics of two lines, such as slopes and equations, the student will determine whether the lines are parallel, perpendicular, or neither.
Coordinate Geometry: Special Segments
The student will derive and use the slope and midpoint formulas to verify geometric relationship that include parallelism and perpendicularity of lines. Then, the student will determine an equation of a line parallel or perpendicular to a given line.