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This document discusses tangent properties of circles. It defines various circle terms like radius, diameter, chord, secant, and tangent. It presents theorems for tangents including that a tangent is perpendicular to the radius and tangent segments from outside the circle are congruent. It provides examples applying these theorems to find missing side lengths. The document instructs the reader to draw and label examples of circle terms on a worksheet.
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10.1 notes
This document contains notes on circle properties from a geometry class. It defines key terms related to circles like radius, diameter, chord, secant, and tangent. It also discusses properties of coplanar circles and tangent lines. Theorems are presented on the perpendicular relationship between a tangent line and radius, and congruent tangent segments from outside a circle. Examples are provided to apply these concepts in finding missing values in geometric diagrams containing circles.
Conversions notes
This document provides information and examples about converting between different units of measurement for length, weight, liquid, time, and dry measurements. It includes questions asking students to convert between inches and feet, miles and feet, fractions of an inch, and measurements in inches. Tables are provided defining relationships between units for weight, liquid, time, and dry measurements.
12.5 notes
The document discusses finding the volume of pyramids and cones. It provides the formulas for calculating volume of a cone as 1/3πr^2h and volume of a pyramid as 1/3Bh, where B is the area of the base and h is the height. Examples are given to practice applying these formulas, such as finding the volume of ice cream in a cone or the area of the base of a trapezoidal pyramid given its volume and height.
9.3 notes
This document contains notes from a geometry class on reflections. It includes the definitions of a line of reflection and the coordinate rules for reflecting points across the x-axis, y-axis, lines y=x and y=-x. It also states that a reflection is an isometry and provides the reflection matrices used to calculate the reflected image of a point by multiplying the matrix and the coordinates of the pre-image point. The document records the student working through homework problems on reflections.
8.4 notes
The document discusses different types of quadrilaterals:
- Parallelograms have both pairs of opposite sides parallel.
- Rhombuses have four equal sides.
- Rectangles have four right angles.
- Squares are both rhombuses and rectangles, with four equal sides and four right angles.
Theorems state that a quadrilateral is a rhombus if its diagonals are perpendicular, or if each diagonal bisects a pair of opposite sides. A quadrilateral is a rectangle if its diagonals are parallel.
7.5 notes
This document contains notes from a math class on solving two-step inequalities. It includes the date, objective of the lesson which is solving two-step inequalities, examples of inequalities to solve, and a word problem involving an inequality about the maximum number of hikers an expedition can support given weight limits of food and equipment. The document appears to be a teacher's notes and worksheets for students covering solving two-step inequalities.
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This document provides examples and instructions for calculating medication dosages when converting between different units of measurement. It gives five examples of dosage problems where the amount ordered is in a different unit than what is available. For each problem, the student is directed to set up a proportion, convert units to be the same, substitute the converted unit into the proportion, cross multiply, and solve to determine the amount that should be given based on what is available. The document also provides an additional practice problem for students to work through.
12.1 notes
Students were instructed to make two solids by naming and coloring a base, folding faces, gluing edges, and displaying the solids. They were then asked to classify solids as prisms or pyramids based on the shape of the base. Finally, homework was assigned to complete problems 3 through 27 of odd numbers on page 798.
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10.1 notes
This document contains notes on circle properties from a geometry class. It defines key terms related to circles like radius, diameter, chord, secant, and tangent. It also discusses properties of coplanar circles and tangent lines. Theorems are presented on the perpendicular relationship between a tangent line and radius, and congruent tangent segments from outside a circle. Examples are provided to apply these concepts in finding missing values in geometric diagrams containing circles.
Conversions notes
This document provides information and examples about converting between different units of measurement for length, weight, liquid, time, and dry measurements. It includes questions asking students to convert between inches and feet, miles and feet, fractions of an inch, and measurements in inches. Tables are provided defining relationships between units for weight, liquid, time, and dry measurements.
12.5 notes
The document discusses finding the volume of pyramids and cones. It provides the formulas for calculating volume of a cone as 1/3πr^2h and volume of a pyramid as 1/3Bh, where B is the area of the base and h is the height. Examples are given to practice applying these formulas, such as finding the volume of ice cream in a cone or the area of the base of a trapezoidal pyramid given its volume and height.
9.3 notes
This document contains notes from a geometry class on reflections. It includes the definitions of a line of reflection and the coordinate rules for reflecting points across the x-axis, y-axis, lines y=x and y=-x. It also states that a reflection is an isometry and provides the reflection matrices used to calculate the reflected image of a point by multiplying the matrix and the coordinates of the pre-image point. The document records the student working through homework problems on reflections.
8.4 notes
The document discusses different types of quadrilaterals:
- Parallelograms have both pairs of opposite sides parallel.
- Rhombuses have four equal sides.
- Rectangles have four right angles.
- Squares are both rhombuses and rectangles, with four equal sides and four right angles.
Theorems state that a quadrilateral is a rhombus if its diagonals are perpendicular, or if each diagonal bisects a pair of opposite sides. A quadrilateral is a rectangle if its diagonals are parallel.
7.5 notes
This document contains notes from a math class on solving two-step inequalities. It includes the date, objective of the lesson which is solving two-step inequalities, examples of inequalities to solve, and a word problem involving an inequality about the maximum number of hikers an expedition can support given weight limits of food and equipment. The document appears to be a teacher's notes and worksheets for students covering solving two-step inequalities.
Prescribing Medicine
This document provides examples and instructions for calculating medication dosages when converting between different units of measurement. It gives five examples of dosage problems where the amount ordered is in a different unit than what is available. For each problem, the student is directed to set up a proportion, convert units to be the same, substitute the converted unit into the proportion, cross multiply, and solve to determine the amount that should be given based on what is available. The document also provides an additional practice problem for students to work through.
12.1 notes
Students were instructed to make two solids by naming and coloring a base, folding faces, gluing edges, and displaying the solids. They were then asked to classify solids as prisms or pyramids based on the shape of the base. Finally, homework was assigned to complete problems 3 through 27 of odd numbers on page 798.
7.6 notes
This document contains instructions for solving various mathematical formulas by transforming them to solve for different variables. It provides examples of transforming formulas for area, perimeter, rate, distance, and temperature by solving for variables like length, rate, time, and Celsius. The goal is to practice transforming formulas to solve for the desired unknown variable.
3.1 notes
The document defines and describes various types of lines and angles. It defines parallel lines as lines that do not intersect and are coplanar. Skew lines do not intersect and are not coplanar. A transversal is a line that intersects two or more lines at different points, and can be used to define corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. The document also presents the parallel postulate and perpendicular postulate.
12.2 notes
This document discusses the surface area formulas for prisms and cylinders. For prisms, the surface area is calculated as the perimeter of the base multiplied by the height plus two times the area of the base. For cylinders, the surface area is calculated as two times pi times the radius times the height plus two times pi times the radius squared. The document provides examples of applying these formulas and assigns homework problems calculating surface areas of various prisms and cylinders.
7.1 & 7.2 notes
The document discusses the Pythagorean theorem and its converse. It provides examples of using the theorem to find the length of a hypotenuse or the area of a triangle. It also lists several Pythagorean triples and explains how to determine if a triangle is a right triangle using the converse of the theorem. The homework assignment is to complete all problems on the worksheet except problems 7-9 dealing with the converse and problem 21 which is extra credit.
4.3 notes
This document discusses the Side-Side-Side (SSS) theorem for proving triangle congruence. It states that if three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent. The document provides an example of two triangles, ΔABC and ΔDEF, where the sides are labeled as equal. It also discusses using Angle-Angle-Angle (AAA) to show similarity, not congruence, of triangles. The homework assignment is problems #5-19 odd, 24, 26 on page 236.
7.4 notes
The document outlines an agenda for a math class that includes writing equations. It provides three word problems asking students to write equations to determine: 1) the original price of a puppy that was $21 less than original price and bought for $48, 2) the number of miles driven for a two-day van rental that cost $79.46 with a $29.95 per day fee plus $0.12 per mile, and 3) the original price of a sweater that was on sale for $48 at 20% less than the original price. Students are assigned homework problems from page 360, numbers 1 through 11.
10.3 notes
The document appears to be notes from a math class on February 28th, 2014 about chord properties. It includes instructions for students to complete a bellwork activity individually without sharing answers. The class will later split into groups to learn different theorems - group A will cover theorem 10.3, group B theorem 10.4, and so on. The document provides space for each group to take notes. At the end, it reminds students to complete homework problems #3-19 odds from page 667.
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4.5 notes
The document discusses different postulates and theorems that can be used to prove triangles are congruent, including:
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10.5 notes
The document discusses surface area formulas for prisms and cylinders. It defines surface area as the sum of the areas of all surfaces that enclose the solid. For prisms, surface area is calculated as the perimeter of the base multiplied by the height, plus twice the area of the base. For cylinders, surface area is the circumference of the circular base multiplied by the height, plus twice the area of the circular base. Examples are given to demonstrate how to apply these formulas.
10.1 notes
The document defines key terms related to circles such as radius, diameter, chord, secant, and tangent. It explains that a tangent line intersects a circle at only one point and is perpendicular to the radius drawn to that point. The document also discusses coplanar circles that can intersect in two points, one point, or no points, and defines a common tangent as a line that is tangent to two coplanar circles. Finally, it provides two theorems: the tangent theorem and the congruent tangent theorem, and includes some example problems.
10.1 notes
The document defines key terms related to circles such as radius, diameter, chord, secant, and tangent. It explains that a tangent line intersects a circle at only one point and is perpendicular to the radius drawn to that point. The document also discusses coplanar circles that can intersect in two points, one point, or no points, and defines a common tangent as a line that is tangent to two coplanar circles. Finally, it provides two theorems: the tangent theorem and the congruent tangent theorem, and includes some example problems.
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11.5 notes
The document contains notes from a math class on the topics of area of circles, sectors, segments and annuli. It includes formulas for calculating these areas, examples of applying the formulas with given values, and practice problems for students to work through. Diagrams illustrate regions such as sectors and segments. The notes provide instruction on key concepts and calculations for finding areas of various parts of circles.
10.1 notes
This document defines key terms related to circles such as radius, diameter, chord, secant, and tangent. It states the tangent theorem - that a tangent to a circle is perpendicular to the radius drawn to the point of tangency. It also describes coplanar circles that can intersect in two points, one point, or no points. Common tangents are lines or segments that are tangent to two coplanar circles. The document provides examples of problems involving tangent lines and radii of circles.
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7.6 notes
This document contains instructions for solving various mathematical formulas by transforming them to solve for different variables. It provides examples of transforming formulas for area, perimeter, rate, distance, and temperature by solving for variables like length, rate, time, and Celsius. The goal is to practice transforming formulas to solve for the desired unknown variable.
3.1 notes
The document defines and describes various types of lines and angles. It defines parallel lines as lines that do not intersect and are coplanar. Skew lines do not intersect and are not coplanar. A transversal is a line that intersects two or more lines at different points, and can be used to define corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. The document also presents the parallel postulate and perpendicular postulate.
12.2 notes
This document discusses the surface area formulas for prisms and cylinders. For prisms, the surface area is calculated as the perimeter of the base multiplied by the height plus two times the area of the base. For cylinders, the surface area is calculated as two times pi times the radius times the height plus two times pi times the radius squared. The document provides examples of applying these formulas and assigns homework problems calculating surface areas of various prisms and cylinders.
7.1 & 7.2 notes
The document discusses the Pythagorean theorem and its converse. It provides examples of using the theorem to find the length of a hypotenuse or the area of a triangle. It also lists several Pythagorean triples and explains how to determine if a triangle is a right triangle using the converse of the theorem. The homework assignment is to complete all problems on the worksheet except problems 7-9 dealing with the converse and problem 21 which is extra credit.
4.3 notes
This document discusses the Side-Side-Side (SSS) theorem for proving triangle congruence. It states that if three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent. The document provides an example of two triangles, ΔABC and ΔDEF, where the sides are labeled as equal. It also discusses using Angle-Angle-Angle (AAA) to show similarity, not congruence, of triangles. The homework assignment is problems #5-19 odd, 24, 26 on page 236.
7.4 notes
The document outlines an agenda for a math class that includes writing equations. It provides three word problems asking students to write equations to determine: 1) the original price of a puppy that was $21 less than original price and bought for $48, 2) the number of miles driven for a two-day van rental that cost $79.46 with a $29.95 per day fee plus $0.12 per mile, and 3) the original price of a sweater that was on sale for $48 at 20% less than the original price. Students are assigned homework problems from page 360, numbers 1 through 11.
10.3 notes
The document appears to be notes from a math class on February 28th, 2014 about chord properties. It includes instructions for students to complete a bellwork activity individually without sharing answers. The class will later split into groups to learn different theorems - group A will cover theorem 10.3, group B theorem 10.4, and so on. The document provides space for each group to take notes. At the end, it reminds students to complete homework problems #3-19 odds from page 667.
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4.5 notes
The document discusses different postulates and theorems that can be used to prove triangles are congruent, including:
1) Angle-Side-Angle (ASA) - If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.
2) Angle-Angle-Side (AAS or SAA) - If two angles and the non-included side of one triangle are equal to two angles and the non-included side of another triangle, then the triangles are congruent.
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This document discusses trigonometric ratios and their use in right triangles. It defines the three basic trig functions - sine, cosine, and tangent - which relate angles to sides of a right triangle. Sine is defined as the ratio of the opposite side to the hypotenuse. Cosine is the ratio of the adjacent side to the hypotenuse. Tangent is the ratio of the opposite side to the adjacent side. Several examples are given of calculating trig ratios and solving for unknown sides or angles in right triangles. Angles of elevation and depression are also defined.
10.5 notes
The document discusses surface area formulas for prisms and cylinders. It defines surface area as the sum of the areas of all surfaces that enclose the solid. For prisms, surface area is calculated as the perimeter of the base multiplied by the height, plus twice the area of the base. For cylinders, surface area is the circumference of the circular base multiplied by the height, plus twice the area of the circular base. Examples are given to demonstrate how to apply these formulas.
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The JV Lake Volley Fest 2015 volleyball tournament will take place on September 26th. Seven teams will be split into the Purple Pool and Gold Pool, with the top two teams from each pool advancing to the Championship Bracket and the bottom two advancing to the Consolation Bracket. The tournament schedule lists the matchups for each of the six time slots between 8:30am and 12:15pm across the two courts. Plaques will be awarded to the first and second place finishers.
Lake Volley Fest
Camdenton High School will host the 2015 Lake Volley Fest Tournament on September 26th. There will be two courts located on campus for pool play and bracket play. Teams will be responsible for providing their own line judge. The top four teams will advance to the championship bracket, while the bottom four teams will play in the consolation bracket. Plaques will be awarded to the first and second place finishers.
Volleyfest Schedule 2015
This document contains the schedule for the 19th Annual Strafford Volleyfest volleyball tournament held on September 19, 2015. It lists the three courts where matches will take place and provides the schedule of games for each court, with start times ranging from 8:30 AM to 6:15 PM. It identifies the 12 participating schools that are divided into three pools based on color. It explains that after pool play, the top six teams will advance to the Championship Bracket and the bottom six to the Consolation Bracket for playoff matches.
2015 Branson Tournament Schedule
The document provides information about the 2015 Branson Invitational volleyball tournament including pool and bracket structures. Sixteen teams will be divided into four pools of four teams each to play a round robin. Pool play will consist of best-of-three sets and teams will be ranked 1-16 based on win-loss record, point differential, and head-to-head results. The top eight teams will advance to the gold bracket and bottom eight to the silver bracket for single elimination bracket play consisting of best-of-three sets.
12.7 notes
This document contains notes from a math class on similar solids. It defines similar solids as two solids of the same type that have equal ratios, known as a scale factor. It then states the Similar Solids Theorem: if two similar solids have a scale factor of a:b, their corresponding areas have a ratio of a2:b2 and their corresponding volumes have a ratio of a3:b3. Examples of homework problems involving similar solids are listed.
12.6 notes
The document discusses surface area and volume formulas for spheres. It provides examples of calculating the surface area of spheres with given diameters, as well as the volume of spheres and other objects like snow cones that can be modeled as spheres. Students are assigned homework problems applying these formulas to calculate surface areas and volumes.
12.5 notes
The document is notes from a math class lesson on finding the volumes of cones and pyramids. It includes the objectives of learning the formulas for these volumes. The formulas given are that the volume of a cone is 1/3πr^2h and the volume of a pyramid is 1/3Bh, where B is the area of the base and h is the height. There are examples provided of applying these formulas to find volumes.
12.4 notes
This document contains notes from a math lesson on finding the volumes of prisms and cylinders. It defines volume as the amount of space inside an object. It explains that to find the volume of a prism or cylinder, you calculate the area of the base and multiply it by the height. For a prism, the base can be any shape and its area formula is used. For a cylinder, the base is a circle so the volume formula is πr^2h, with r as the radius and h as the height. Examples of volume problems are shown and homework problems are assigned from the textbook.
Indian volleyball tournament
A volleyball tournament will be held on May 2nd at 9am at the Max Evans Gym to benefit the Strafford Indian Volleyball Program. The tournament will feature fun rules, games and prizes and cost $10 per person to register, either as part of a team of 6-8 players or individually. People can register their teams on Facebook or by contacting the coaches Ashley Bough or Angelina Hedrick by May 1st.
12.3 notes
This document contains notes and examples for calculating the surface area of pyramids and cones. It provides the formulas for finding the surface area of regular pyramids and cones. For pyramids, the surface area equals one-half the perimeter of the base times the sum of the slant height and apothem. For cones, the surface area equals pi times the radius squared plus pi times the radius times the slant height. The document includes practice problems applying these formulas to find the surface area of various pyramids and cones.
12.2 notes
The document discusses surface area formulas for prisms and cylinders. It defines surface area as the sum of the areas of all surfaces that enclose a solid. For prisms, surface area is calculated as the perimeter of the base multiplied by the height, plus twice the area of the base. For cylinders, surface area is the circumference of the base multiplied by the height, plus twice the area of the circular base. The document provides examples of applying these formulas to prisms and cylinders.
12.5 notes
This document contains information about the law of cosines from a geometry homework assignment on page 678 problems 14 through 20, dated April 09, 2015. The document title and date are repeated multiple times.
12.4 notes
This document contains information about the law of sines for a math homework assignment. It lists the topic as the law of sines and directs the student to problems 15-17 and 29-31 on page 672 of their homework, which was assigned on April 08, 2015. The document repeats this information four times.
12.1 notes
This document contains notes from a math class where students were working on homework problems involving trigonometry (SOHCAHTOA) and multiples of 3. The notes are dated April 08, 2015 and reference homework page 648 problems 12 through 36 dealing with multiples of 3.
11.7 notes
This document contains notes from an 11th grade math class on the topic of geometric probability. It includes examples of calculating the probability of events based on ratios of lengths and areas, such as the probability of a driver speeding in front of a school based on the length of road in front of the school over the total road length. The homework problems assigned were problems 4-10 of the even numbers, 20-23, and 30-33 on page 774 of the textbook.
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10.1 notes
- 1. 10.1 Tangent Properties February 27, 2014 You need @ least 3 colors of highlighters or pencils and a circle sheet. Feb 99:03 AM HW pg. 655 #325 odds 1
- 6. 10.1 Tangent Properties February 27, 2014 Examples: Find x. Assume that segments that appear tangent are tangent. (x -2 )f t E D 14 ft F Find x, y & z. 6(3 - x) F C 3x ) (z -4 E 10 A 4y 2z D 12y B -4 Nov 55:41 PM HW pg. 655 #325 odds 6