Tangents Teacher Resources

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Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they observe the relationship between the measure of the angle of intersection of two lines and the measure of the intercepted arcs. Critical thinking, problem solving, and mathematical applications make this a very nice lesson.
Mathematicians measure intersecting lines-and circles, and create chords. In this geometry lesson, students explore interrior and exterior chords created by tangent and secant lines. These segments can be inside the circleor outside the circle.
For this stars rise in the east worksheet, students use geometry to show how the Earth rotates from west to east and why celestial bodies appear to rise in the east and set in the west. Students draw a figure and label given points in order to solve 6 problems and construct a proof.
In this end of the year geometry review worksheet, 10th graders solve and complete 140 different multiple choice problems. First, they find the slope-intercept form of a line passing through a point and parallel to a given line. Then, students determine the transformations that best represent an isometry. They also find the measures of various angles if a triangle within a circle.
Learners derive the six trigonometric ratios. In this trigonometry instructional activity, students use trigonometric properties to find the missing angles of triangles.
Young scholars create posters.  In this concepts lesson, groups of students use the internet to research different proofs of the Pythagorean Theorem.  In addition, they research Greek Mathmaticians.  Young scholars create posters and bulletin boards containing their information. 
Ninth graders create clinometers using a protractor, weight, and string. They work in pairs to practice sighting objects above or below their line of sight. Students use ratios of right triangles to determine the height of a predetermined object.
Test eight from The Official SAT Study Guide includes eighteen problems, the first four of which are featured in this video. Basic algebraic expressions, linear equations, tangent circles, and coordinates on a plane test algebra and geometry skills.
Young scholars review the standards expected of them in their different math classes. In this math review of different indicators, students review a chart that holds them accountable for certain standards. They answer questions about each indicator and what supplies are needed to help each indicator be completed.
Students solve proofs dealing with the coordinate plane. In this geometry lesson, students verify properties of triangles and quadrilaterals.
Eleventh graders explore the TI-InterAcitve!.  In this Algebra II lesson, 11th graders examine features of the TI-InterActive! including drawing on a Graph, using Stat Plots, exploring the syntax for piecewise functions, and using sliders in order to obtain parametric variations.  The lesson is designed to encourage students’ creativity.    
Students explore graphs of polynomials.  In this Pre-calculus/Calculus lesson, students investigate the problem of constructing the expression for a polynomial curve based on the dynamic properties of the curve.  TI-Interactive is required to perform the algebraic manipulations. 
In this geometry worksheet, students plot coordinate pairs and connect the points to create different shapes. They give th shapes its polygon's name. They differentiate between simple functions and rectangular hyperbola.
Learners identify the slope of an equation using various methods. In this algebra lesson, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the slope intercept formula to find the slope.
For this algebra worksheet, students solve word problems using algebraic equations and implicit differentiation. There are 16 problems dealing implicit differentiation.
High schoolers use a problem in a real-world context to motivate the need to construct circumcenters and then incenters of triangles and to make sense of these constructions in terms of bisecting sides and angles.
Tenth graders explore inscribed angles.  In this geometry lesson, 10th graders investigate the relationship between an inscribed angle and its intercepted arc.  The dynamic nature of the geometry utility allows for conjecture and verification.
In this quadrilaterals worksheet, 10th graders solve and complete 20 various types of problems. First, they find the length of a corresponding side of a pentagon. Then, students find the measure of an exterior angle of a regular seven-sided polygon. They also find the length of the radius of a cylinder.
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.

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