Advanced/Notes 7.1
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This document provides an overview of the key concepts in the chapter on linear momentum including: - Defining linear momentum as the product of an object's mass and velocity. - Explaining how momentum is related to force through Newton's second law. - Describing how the total momentum of an isolated system remains constant through the law of conservation of momentum.
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This document provides information on finding the areas of triangles, trapezoids, and rhombi. It gives the formulas for calculating the area of each shape, includes examples of applying the formulas, and provides practice problems for students to work through. The lesson plan is for a two-day unit covering adding the areas of different plane figures, with the first day focused on notes and examples, and the second day devoted to review and assessment.
Geometry/Notes 11.1
This document discusses finding the areas of parallelograms and using coordinate planes to identify parallelograms. It provides examples of calculating perimeters and areas of parallelograms. It also gives applications involving finding the area of yard spaces and floors. Students are asked to plot points on a coordinate plane to identify parallelograms and calculate their areas. The lesson plan is to introduce finding areas of parallelograms over two class periods with notes, examples, and a follow-up quiz.
Advanced/Notes 9.1
The document discusses static equilibrium, which refers to when an object experiences forces but does not move or accelerate. It provides examples of a book sitting on a table and braces on teeth being in equilibrium, as the forces balance out. It also discusses calculating tensions in cords supporting a chandelier and the concept of levers providing mechanical advantage to allow smaller applied forces to move larger objects.
Geometry/Notes 10.6
This document discusses secants, tangents, and angle measures related to circles. It defines a secant as a line that intersects a circle at two points and presents three theorems relating the measures of angles formed by secants and tangents to the measures of the arcs they intercept. Examples demonstrate using the theorems to find measures of angles and arcs. The lesson plan is to take two days, with the first day covering notes and the second reviewing related material and giving a quiz.
Geometry/Notes 10.5
This document discusses tangents to circles and includes several theorems about tangents: a tangent intersects a circle at only one point and is perpendicular to the radius at that point; if a line is perpendicular to a radius it is tangent to the circle; and if two segments from the same exterior point are tangent to a circle they are congruent. Examples applying these theorems to find measures are provided. The document also defines a circumscribed polygon as one where every side is tangent to the enclosed circle. Homework problems from the textbook are assigned.
Geometry/Notes 10.4
This document discusses inscribed angles and theorems related to them. An inscribed angle is an angle whose vertex is on a circle and whose sides are chords of the circle. The intercepted arc is the arc created by the chords of the inscribed angle. Three theorems are presented: if two inscribed angles intercept congruent arcs, the angles are congruent; if an inscribed angle intercepts a semicircle, the angle is a right angle; and if a quadrilateral is inscribed in a circle, its opposite angles are supplementary. The lesson plan is to introduce inscribed angles and develop theorems about them over two class periods with notes, examples, and a quiz.
General/Notes 11.1
The document discusses the relationship between work and energy. It states that work causes a change in the energy of a system, transferring energy between the system and the external world. Energy can exist in different forms and be changed from one form to another. Examples are given of kinetic energy and gravitational potential energy, including the equation PE = mgh. Worksheets and practice problems are provided about calculating gravitational potential energy at different heights and the work done by gravity in lifting objects.
Goemetry/Notes 10.2
This document discusses angles and arcs in circles. It defines central angles as angles with the center of the circle as the vertex and radii as the sides. The measurement of an arc is equal to the measurement of its central angle. Arcs are classified as minor, semi-circle, or major depending on whether their central angle measures less than, equal to, or greater than 180 degrees, respectively. The document also provides examples of calculating arc measures and lengths using proportions relating the degree measure of the central angle to the arc length and circumference. There are homework problems assigned from the textbook.
Advanced/Notes 8.7
This document discusses rotational kinetic energy and how to calculate it. It notes that both rotational and translational kinetic energy must be considered when using the law of conservation of energy. It provides an example of objects with the same potential energy at the top of an incline, but different times to reach the bottom based on their rotational inertia. Finally, it lists homework problems from page 221, numbers 43 through 48.
Geometry/Notes 10.1
This document provides information about circles and circumference. It defines a circle as all points equidistant from a center point and lists the parts of a circle as the center, radius, diameter, chord, and circumference. It gives examples of naming circle parts and using the circumference formula C=2πr to solve problems finding circumference given radius or diameter or to find radius or diameter given circumference. Students are assigned homework problems from their textbook on these concepts.
Advanced/Notes 8.5
This document discusses rotational dynamics and torque. It defines moment of inertia as relating to how mass is distributed about an axis of rotation. Greater moment of inertia means more mass is farther from the axis. Examples calculate moment of inertia for different axes of rotation for a system with two masses on a rod. Solving rotational dynamics problems involves drawing diagrams, identifying the system and forces, finding the axis of rotation, applying Newton's laws for rotation and translation, and checking units and magnitudes. The associated homework assignments problems 27-32 and 33-37, 42 are also listed.
Advanced/Notes 8.4
Torque is calculated based on the lever arm, which is the perpendicular distance from the axis of rotation to the point where a force is applied. A longer lever arm results in a greater torque. An example calculates the torque on a bicep muscle attached 5 cm from the elbow joint, based on different forces applied. A second example calculates the net torque on two connected wheels from two 50N forces, based on the wheels' radii serving as lever arms. The document concludes by assigning homework problems related to torque calculations.
Advnaced/Notes 8.2
This document discusses rotational motion and angular kinematics. It provides examples of calculating angular acceleration, revolutions, and angular velocity. Key equations for rotational motion are the same as linear motion but with angular quantities substituted. Examples include finding the angular acceleration and revolutions of a centrifuge rotor accelerating from rest to 20,000 rpm, and calculating values like angular velocity and revolutions for a slowing bicycle wheel. Readers are assigned homework problems applying these concepts.
Geometry/Notes 8.6
The document defines a trapezoid as a quadrilateral with one pair of parallel sides. It identifies the key terms used to describe trapezoids, including bases, legs, base angles, and medians. It provides an example problem involving verifying that a shape is a trapezoid and finding the endpoints of its median. Homework problems from the textbook are assigned.
Geometry/Notes 8.5
This document discusses properties of rhombi and squares. A rhombus is a quadrilateral with four congruent sides. A square is a rhombus and rectangle, with four equal sides and four right angles. Examples are provided to demonstrate determining whether shapes are rhombi, rectangles or squares based on given properties or vertex points. The homework assignments ask students to identify properties and classify shapes using given information.
General/Notes 10.1
This document discusses energy, work, and simple machines. It defines work as the product of the applied force and the distance moved in the direction of the force. It provides the work equation as W=Fd, where W is work, F is force, and d is distance. The document also discusses how work is related to changes in kinetic energy through the work-energy theorem. Examples are provided to demonstrate calculating work done by forces applied at an angle to the direction of motion and work done against gravity.
Advanced/Notes 8.1
This document provides an overview of rotational motion and angular quantities. It defines rotational motion as occurring when all points on an object move in circles around an axis of rotation. It reviews radians and their relationship to degrees, and provides an example problem calculating the angle an object subtends to a bird based on its visual capabilities. It also discusses angular kinematics, relating angular and linear velocity and acceleration, and examples of calculating velocities and accelerations for objects in rotational motion.
Geometry/Notes 8.4
This document provides information about rectangles including their properties and examples. A rectangle is defined as a quadrilateral with four right angles. Examples are given to find missing side lengths of rectangles and determine if a quadrilateral is a rectangle using properties like having right angles or having parallel and equal opposite sides. Homework assignments are provided from the textbook along with an outline of a lesson plan on rectangles for teachers that includes standards, materials, timing and key questions.
Geometry/Notes 8.3
This document discusses tests that can be used to determine if a quadrilateral is a parallelogram. It lists five properties that can be checked: 1) if both pairs of opposite sides are parallel, 2) if both pairs of opposite angles are congruent, 3) if both pairs of opposite sides are congruent, 4) if the diagonals bisect each other, or 5) if one pair of opposite sides is parallel and congruent. If a quadrilateral satisfies any one of these properties, it is a parallelogram. The document provides examples of determining if quadrilaterals defined by points in the coordinate plane are parallelograms using slope and distance formulas.
Advanced/Notes 7.8
This document discusses the concept of center of mass and how to calculate it. It explains that the motion of an object can be described as the sum of the translational motion of its center of mass plus any rotational or other motion around the center of mass. It provides an example problem of calculating the position of the center of mass for three people of equal mass sitting at different positions on a boat. The document directs the reader to read more about center of mass in Section 7.7 and do problems 46-50 to practice calculating center of mass.
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Advanced/Notes 7.1
- 2. • How do we define momentum? • How is momentum related to force? • How can we apply the conservation of momentum? Momentum and its Relation to Force
- 3. • http://www.youtube.com/watch?v=0LnbyjOyEQ8&featur e=related Momentum
- 4. • Linear Momentum: the product of an objects mass and its velocity • Symbol is p • Units are kg·m/s Momentum
- 5. • Momentum
- 6. • A smaller football player can have the same momentum as a larger one, if… • Application? • Direction change? Momentum
- 7. • Relation to Newton’s 2nd
- 8. • For a top player, a tennis ball may leave the racket on the serve with a speed of 55 m/s (about 120 mph). If the ball has a mass of 0.060 kg and is in contact with the racket for about 4 x 10-3 s, estimate the average force on the ball. • Would this force be large enough to lift a 60 kg person? Force of a tennis serve
- 9. • Water leaves a hose at a rate of 1.5 kg/s with a speed of 20 m/s and is aimed at the side of a car, which stops it. What force is exerted by the water on the car? Water
- 10. • During a collision, measurements show that the total momentum does not change Conservation of Momentum
- 12. The total momentum of an isolated system remains constant
- 13. • A 10,000 kg railroad car, A, traveling at a speed of 24.0 m/s strikes an identical car, B, at rest. If the cars lock together as a result of the collision, what is their common speed just afterward? Railroad cars
- 14. • Only applies to an isolated system • Only forces are between objects in the system • System of rock falling by itself will not conserve momentum, because an external force, gravity • If we expand the system to include the Earth, then we can conserve momentum Systems
- 15. • Momentum conservation works for a rocket as long as we consider the rocket and its fuel to be one system, and account for the mass loss of the rocket. Systems
- 16. • Read Sections 7.1 and 7.2 • Do Problems # 1 – 12, Page 188 Homework