3.4 notes
•
0 likes•105 views
This document discusses slope and how it relates to parallel and perpendicular lines. It defines slope as the ratio of rise over run between two points on a line. Slope can be positive, negative, zero, or undefined. Parallel lines have the same slope, while perpendicular lines have slopes that multiply to -1. The document provides examples of finding slope and using properties of parallel and perpendicular slopes to determine relationships between lines. It directs students to practice problems in their groups.
Report
Share
Report
Share
Download to read offline
Recommended
3.4 notes
This document discusses slopes of lines. It defines slope as the ratio of rise over run between two points on a line. It describes positive, negative, zero and undefined slopes. It states the postulates that parallel lines have the same slope and perpendicular lines have slopes with a product of -1. Students are instructed to work with their group to complete problems in guided practice.
Magic squares
Magic squares are arrangements of numbers where the sums of each row, column, and diagonal are equal. This project uses algebra to explain magic squares, with variables representing the numbers in the square. A 3x3 magic square is presented where a=5, b=3, c=2, and each row, column and diagonal sums to 15. A 4x4 magic square is also shown where each row, column and diagonal sums to 34. Algebraic equations are written for each row, column and diagonal to prove they all equal the target number.
YCMOU_FYBCA_DS_Unit-7.ppt
The document discusses graph theory concepts including representations of graphs like adjacency matrix and adjacency list, and graph traversal algorithms like depth-first search (DFS) and breadth-first search (BFS). It provides pseudocode for DFS and BFS algorithms and examples of their use. It also notes that graph theory is used for shortest path algorithms like Dijkstra's, Prim's and Kruskal's.
4.6slope intform
This document discusses slope-intercept form of linear equations and how to graph linear equations using slope-intercept form. It defines slope-intercept form as y=mx+b, where m is the slope and b is the y-intercept. It provides steps for graphing a linear equation which include writing the equation in slope-intercept form, plotting the y-intercept, using the slope to plot a second point, and drawing a line through the points. It also states that two lines are parallel if they have the same slope but different y-intercepts.
A25-5 Completing the Square
This document discusses graphing complex numbers and completing the square. It explains that to graph a complex number a + bi, you plot the real number a on the real axis and the imaginary number b on the imaginary axis. It also outlines the steps to complete the square of a quadratic equation: find the constant term c, add c to both sides, factor the left side, and take the square root of both sides to solve for x.
[Question Paper] Logic, Discrete Mathematical Structures (Old Course) [April ...
[Question Paper] Logic, Discrete Mathematical Structures (Old Course) [April ...Mumbai B.Sc.IT Study
This is a Question Papers of Mumbai University for B.Sc.IT Student of Semester - III [Logic, Discrete Mathematical Structures] (Old Course). [Year - April / 2014] . . .Solution Set of this Paper is Coming soon...Pre-Cal 40S March 1, 2009
The document discusses transformations of graphs including stretches, compressions, and translations. It provides examples of how the parameters a and b in the function y=f(x) affect whether the graph is stretched or compressed vertically or horizontally. It also prompts the reader to practice applying transformations to find coordinates of images of points and to determine the order of transformations in an equation.
Hamilton Path & Dijkstra's Algorithm
This document summarizes topics related to discrete structures, including Hamiltonian paths and circuits, matching theory, and the shortest path problem solved using Dijkstra's algorithm. It defines Hamiltonian paths and circuits, discusses maximal and perfect matchings in graphs, and outlines Dijkstra's algorithm for finding the shortest path between nodes in a weighted graph by iteratively updating distances and marking visited nodes.
Recommended
3.4 notes
This document discusses slopes of lines. It defines slope as the ratio of rise over run between two points on a line. It describes positive, negative, zero and undefined slopes. It states the postulates that parallel lines have the same slope and perpendicular lines have slopes with a product of -1. Students are instructed to work with their group to complete problems in guided practice.
Magic squares
Magic squares are arrangements of numbers where the sums of each row, column, and diagonal are equal. This project uses algebra to explain magic squares, with variables representing the numbers in the square. A 3x3 magic square is presented where a=5, b=3, c=2, and each row, column and diagonal sums to 15. A 4x4 magic square is also shown where each row, column and diagonal sums to 34. Algebraic equations are written for each row, column and diagonal to prove they all equal the target number.
YCMOU_FYBCA_DS_Unit-7.ppt
The document discusses graph theory concepts including representations of graphs like adjacency matrix and adjacency list, and graph traversal algorithms like depth-first search (DFS) and breadth-first search (BFS). It provides pseudocode for DFS and BFS algorithms and examples of their use. It also notes that graph theory is used for shortest path algorithms like Dijkstra's, Prim's and Kruskal's.
4.6slope intform
This document discusses slope-intercept form of linear equations and how to graph linear equations using slope-intercept form. It defines slope-intercept form as y=mx+b, where m is the slope and b is the y-intercept. It provides steps for graphing a linear equation which include writing the equation in slope-intercept form, plotting the y-intercept, using the slope to plot a second point, and drawing a line through the points. It also states that two lines are parallel if they have the same slope but different y-intercepts.
A25-5 Completing the Square
This document discusses graphing complex numbers and completing the square. It explains that to graph a complex number a + bi, you plot the real number a on the real axis and the imaginary number b on the imaginary axis. It also outlines the steps to complete the square of a quadratic equation: find the constant term c, add c to both sides, factor the left side, and take the square root of both sides to solve for x.
[Question Paper] Logic, Discrete Mathematical Structures (Old Course) [April ...
[Question Paper] Logic, Discrete Mathematical Structures (Old Course) [April ...Mumbai B.Sc.IT Study
This is a Question Papers of Mumbai University for B.Sc.IT Student of Semester - III [Logic, Discrete Mathematical Structures] (Old Course). [Year - April / 2014] . . .Solution Set of this Paper is Coming soon...Pre-Cal 40S March 1, 2009
The document discusses transformations of graphs including stretches, compressions, and translations. It provides examples of how the parameters a and b in the function y=f(x) affect whether the graph is stretched or compressed vertically or horizontally. It also prompts the reader to practice applying transformations to find coordinates of images of points and to determine the order of transformations in an equation.
Hamilton Path & Dijkstra's Algorithm
This document summarizes topics related to discrete structures, including Hamiltonian paths and circuits, matching theory, and the shortest path problem solved using Dijkstra's algorithm. It defines Hamiltonian paths and circuits, discusses maximal and perfect matchings in graphs, and outlines Dijkstra's algorithm for finding the shortest path between nodes in a weighted graph by iteratively updating distances and marking visited nodes.
Homework1
This document contains the solutions to three problems from a homework assignment on aircraft design.
Problem 1 uses MATLAB code to derive equations for stresses as functions of strains in an isotropic material. Problem 2 calculates the forces and deflections in a beam under two concentrated loads. Problem 3 determines the force and deflection at a joint between two beams with different thermal expansion coefficients.
Graphing lines using slopeintercept
This document provides information about graphing lines using slope-intercept form. It defines slope-intercept form as y=mx+b, where m is the slope and b is the y-intercept. It shows how to find the slope and y-intercept from linear equations in various forms and how to write equations in slope-intercept form. It also demonstrates how to graph lines by plotting points using the slope and y-intercept. Key steps for graphing include finding the slope and y-intercept, plotting the y-intercept, using the slope to determine other points, and drawing the line through the points. The document also discusses parallel lines as those with the same slope.
3.5 notes
This document discusses equations of lines. It begins with examples of finding the slope of a line and graphing a line perpendicular to another. It then explains that lines are parallel if they have the same slope. The document goes on to define the slope-intercept form of a line equation and provides exercises for students to practice writing and graphing line equations in slope-intercept form. It also introduces the standard form of a line equation. The homework assignments are problems #5-19 odd, 25-33 odd, and 39-43 odd on page 184.
Absolute value functions
1. Absolute-value functions can be transformed through translations, reflections, stretches, and compressions. Translations move the graph up/down or left/right and change the vertex. Reflections flip the graph across an axis. Stretches and compressions make the graph wider/narrower or taller/shorter.
2. Examples show how to write the rule for a transformed absolute-value function g(x) based on an original function f(x). The transformations can be vertical/horizontal shifts, reflections, or vertical/horizontal stretches/compressions.
3. Graphs confirm that the transformations are applied as expected to f(x), resulting in the graph of g(x) with the
6.2-3 Slope-Intercept and Standard forms
This document provides instruction on writing and graphing linear equations in slope-intercept and standard form. It includes examples of finding the slope and y-intercept from an equation in slope-intercept form, writing an equation given the slope and y-intercept, graphing lines from their equations, finding x- and y-intercepts to graph in standard form, and transforming between the two forms. Students are provided practice problems to complete for homework.
Ml lesson 4 3
The document discusses graphing horizontal and vertical lines. It defines horizontal lines as having an equation of the form y=k, and vertical lines as having an equation of the form x=k. Examples of graphing specific horizontal and vertical lines are provided, as well as finding the equations of lines given points and finding intercepts of lines.
Graphing Absolute Value Functions
This slidecast is a tutorial on how to graph linear absolute value functions written in standard form by finding the coordinates of the vertex and using the slope to plot additional points.
Unit 2A Powerpoint
This document contains 4 practice problems on graphing linear transformations. Each problem provides the parent graph function and the transformed function, along with the transformations applied which include: vertical stretch, horizontal translation left or right, vertical translation up or down, flip over x-axis, and horizontal stretch. The transformations are applied to graphs of the form F(x)=a|x+b|+c, F(x)=a(x+b)+c, F(x)=a(x+b)1/2+c, and F(x)=a(x+b)3+c.
[Question Paper] Logic and Discrete Mathematics (Old Course) [April / 2015]
This is a Question Papers of Mumbai University for B.Sc.IT Student of Semester - III [Logic and Discrete Mathematics] (Old Course). [Year - April / 2015] . . .Solution Set of this Paper is Coming soon...
Alg2 lesson 2.3
1) The slope of a line passing through (-3,5) and (2,1) can be determined using the slope formula: m=(Δy/Δx) which is (1-5)/(-3-2)=-4/5.
2) Lines can be classified by their slope as having a positive, zero, negative, or undefined slope.
3) A line parallel to the graph of 4x-2y=10 that passes through (2,1) has a slope of 2.
Absolute value functions
The document discusses absolute value functions. It defines absolute value and notes that the graph of an absolute value function is V-shaped and symmetric about the y-axis. It provides details on how to graph an absolute value function given its equation, including identifying the vertex and using the slope and symmetry to plot additional points and complete the graph.
3.6 notes
1) The document discusses key theorems about parallel and perpendicular lines including: if two lines intersect to form congruent angles then they are perpendicular; if two lines are perpendicular they intersect to form four right angles; and if two sides of two adjacent acute angles are perpendicular then the angles are complementary.
2) It also discusses the perpendicular transversal theorem which states that if a transversal is perpendicular to one of two parallel lines then it is perpendicular to the other line.
3) The document provides instructions for homework problems involving parallel and perpendicular lines and finding the distance between parallel lines.
Systems of Inequalities
The document defines a system of inequalities as two or more linear inequalities on a plane. Linear inequalities can be written in slope-intercept form and their solutions are represented by shaded regions on a coordinate plane. For a system to have a solution, the shaded regions must overlap. Parallel lines will never overlap, while intersecting lines may overlap depending on whether the inequalities' signs are the same or opposite. In most cases, overlapping solutions occur when intersecting lines have opposite inequality signs.
[Question Paper] Computer Graphics (Old Course) [June / 2014]
This is a Question Papers of Mumbai University for B.Sc.IT Student of Semester - II [Computer Graphics] (Old Course). [Year - June / 2014] . . .Solution Set of this Paper is Coming soon..
Δεκαδικά κλάσματα, Δεκαδικοί αριθμοί, Διάταξη δεκαδικών αριθμών, Στρογγυλοποίηση
Δεκαδικοί αριθμοί, Α.3.1., Δεκαδικά κλάσματα, Δεκαδικοί αριθμοί, Διάταξη δεκαδικών αριθμών, Στρογγυλοποίηση, ΜΑΘΗΜΑΤΙΚΑ Α΄ΓΥΜΝΑΣΙΟΥ, Μέρος Α' , Κεφάλαιο 3ο, Οι φυσικοί αριθμοί, teagher,
Εκπαιδευτικό βίντεο από τo ΚΑΛΙΤΣΑ : https://mcjmcjmcj.wordpress.com/
Άρθρο του μαθήματος: https://wp.me/PJcUD-8x6/
#teagher, #ΕΚΠΑΙΔΕΥΣΗ, #ΜΑΘΗΜΑΤΑ, #ΓΥΜΝΑΣΙΟ #ΠΡΩΤΗΓΥΜΝΑΣΙΟΥ, #ΛΥΣΕΙΣ, #ΑΠΑΝΤΗΣΕΙΣ, #ΚΑΛΙΤΣΑ,
2.8 a absolute value functions
1. The document discusses absolute value functions and how to graph and write equations for them.
2. It explains that the graph of an absolute value function is V-shaped and defines the vertex and line of symmetry.
3. Examples are provided to demonstrate how to graph an absolute value function by finding the vertex and slope and plotting points, and how to write the equation of an absolute value function given its graph.
Alg2 lesson 2.4
This document discusses finding the slope and y-intercept of a line given its equation in slope-intercept form. It provides examples of writing equations of lines given their slopes and points, or two points the line passes through. It also discusses writing the equation of a line perpendicular to another line given a point on the perpendicular line.
R Bootcamp Day 3 Part 1 - Statistics in R
1. The document provides an overview of common statistical tests and functions in R, including linear regression and mixed models. It demonstrates how to perform t-tests, linear regression, and fit mixed models using the lm() and lme() functions.
2. Linear regression in R uses Wilkinson-Rogers notation to specify models in the lm() function. Mixed models can include both fixed and random effects, as demonstrated by fitting a basic mixed model with a random intercept to a subset of the Orthodont data.
3. Class lm objects have their own plot() function to visualize linear regression results. Summary() provides statistics on model fits while individual fields like coefficients and residuals can be accessed directly from the model object.
Operations on graph
This PowerPoint contains introduction of basic operations like subgraph, union of graph , complement of graph
2.8 coord. plane 1
The document provides examples and explanations for using the coordinate plane:
- It defines the key elements of the coordinate plane including the x-axis, y-axis, origin, quadrants, and ordered pairs used to identify points.
- An example shows how to plot the point (4, -2) by moving right 4 units and down 2 units from the origin.
- Another example solves a multi-step problem to find the perimeter of a rectangular region on a coordinate plane by identifying the coordinates of its vertices and calculating the length and width.
6.1 notes
The document discusses ratios, proportions, and geometric mean. It defines a ratio as a/b or a:b and an equivalent ratio as having the same simplified form. It states that proportions exist when two ratios are equal, and can be solved using cross multiplication. The geometric mean is defined as the square root of the product of two numbers.
4.3 notes
The document discusses the Side-Side-Side (SSS) congruence postulate for proving that two triangles are congruent. It states that if three pairs of corresponding sides of two triangles are congruent, then the two triangles are congruent. It provides an example of two triangles ABC and DEF where the three sides of triangle ABC are congruent to the three sides of triangle DEF, and therefore the two triangles are congruent.
More Related Content
What's hot
Homework1
This document contains the solutions to three problems from a homework assignment on aircraft design.
Problem 1 uses MATLAB code to derive equations for stresses as functions of strains in an isotropic material. Problem 2 calculates the forces and deflections in a beam under two concentrated loads. Problem 3 determines the force and deflection at a joint between two beams with different thermal expansion coefficients.
Graphing lines using slopeintercept
This document provides information about graphing lines using slope-intercept form. It defines slope-intercept form as y=mx+b, where m is the slope and b is the y-intercept. It shows how to find the slope and y-intercept from linear equations in various forms and how to write equations in slope-intercept form. It also demonstrates how to graph lines by plotting points using the slope and y-intercept. Key steps for graphing include finding the slope and y-intercept, plotting the y-intercept, using the slope to determine other points, and drawing the line through the points. The document also discusses parallel lines as those with the same slope.
3.5 notes
This document discusses equations of lines. It begins with examples of finding the slope of a line and graphing a line perpendicular to another. It then explains that lines are parallel if they have the same slope. The document goes on to define the slope-intercept form of a line equation and provides exercises for students to practice writing and graphing line equations in slope-intercept form. It also introduces the standard form of a line equation. The homework assignments are problems #5-19 odd, 25-33 odd, and 39-43 odd on page 184.
Absolute value functions
1. Absolute-value functions can be transformed through translations, reflections, stretches, and compressions. Translations move the graph up/down or left/right and change the vertex. Reflections flip the graph across an axis. Stretches and compressions make the graph wider/narrower or taller/shorter.
2. Examples show how to write the rule for a transformed absolute-value function g(x) based on an original function f(x). The transformations can be vertical/horizontal shifts, reflections, or vertical/horizontal stretches/compressions.
3. Graphs confirm that the transformations are applied as expected to f(x), resulting in the graph of g(x) with the
6.2-3 Slope-Intercept and Standard forms
This document provides instruction on writing and graphing linear equations in slope-intercept and standard form. It includes examples of finding the slope and y-intercept from an equation in slope-intercept form, writing an equation given the slope and y-intercept, graphing lines from their equations, finding x- and y-intercepts to graph in standard form, and transforming between the two forms. Students are provided practice problems to complete for homework.
Ml lesson 4 3
The document discusses graphing horizontal and vertical lines. It defines horizontal lines as having an equation of the form y=k, and vertical lines as having an equation of the form x=k. Examples of graphing specific horizontal and vertical lines are provided, as well as finding the equations of lines given points and finding intercepts of lines.
Graphing Absolute Value Functions
This slidecast is a tutorial on how to graph linear absolute value functions written in standard form by finding the coordinates of the vertex and using the slope to plot additional points.
Unit 2A Powerpoint
This document contains 4 practice problems on graphing linear transformations. Each problem provides the parent graph function and the transformed function, along with the transformations applied which include: vertical stretch, horizontal translation left or right, vertical translation up or down, flip over x-axis, and horizontal stretch. The transformations are applied to graphs of the form F(x)=a|x+b|+c, F(x)=a(x+b)+c, F(x)=a(x+b)1/2+c, and F(x)=a(x+b)3+c.
[Question Paper] Logic and Discrete Mathematics (Old Course) [April / 2015]
This is a Question Papers of Mumbai University for B.Sc.IT Student of Semester - III [Logic and Discrete Mathematics] (Old Course). [Year - April / 2015] . . .Solution Set of this Paper is Coming soon...
Alg2 lesson 2.3
1) The slope of a line passing through (-3,5) and (2,1) can be determined using the slope formula: m=(Δy/Δx) which is (1-5)/(-3-2)=-4/5.
2) Lines can be classified by their slope as having a positive, zero, negative, or undefined slope.
3) A line parallel to the graph of 4x-2y=10 that passes through (2,1) has a slope of 2.
Absolute value functions
The document discusses absolute value functions. It defines absolute value and notes that the graph of an absolute value function is V-shaped and symmetric about the y-axis. It provides details on how to graph an absolute value function given its equation, including identifying the vertex and using the slope and symmetry to plot additional points and complete the graph.
3.6 notes
1) The document discusses key theorems about parallel and perpendicular lines including: if two lines intersect to form congruent angles then they are perpendicular; if two lines are perpendicular they intersect to form four right angles; and if two sides of two adjacent acute angles are perpendicular then the angles are complementary.
2) It also discusses the perpendicular transversal theorem which states that if a transversal is perpendicular to one of two parallel lines then it is perpendicular to the other line.
3) The document provides instructions for homework problems involving parallel and perpendicular lines and finding the distance between parallel lines.
Systems of Inequalities
The document defines a system of inequalities as two or more linear inequalities on a plane. Linear inequalities can be written in slope-intercept form and their solutions are represented by shaded regions on a coordinate plane. For a system to have a solution, the shaded regions must overlap. Parallel lines will never overlap, while intersecting lines may overlap depending on whether the inequalities' signs are the same or opposite. In most cases, overlapping solutions occur when intersecting lines have opposite inequality signs.
[Question Paper] Computer Graphics (Old Course) [June / 2014]
This is a Question Papers of Mumbai University for B.Sc.IT Student of Semester - II [Computer Graphics] (Old Course). [Year - June / 2014] . . .Solution Set of this Paper is Coming soon..
Δεκαδικά κλάσματα, Δεκαδικοί αριθμοί, Διάταξη δεκαδικών αριθμών, Στρογγυλοποίηση
Δεκαδικοί αριθμοί, Α.3.1., Δεκαδικά κλάσματα, Δεκαδικοί αριθμοί, Διάταξη δεκαδικών αριθμών, Στρογγυλοποίηση, ΜΑΘΗΜΑΤΙΚΑ Α΄ΓΥΜΝΑΣΙΟΥ, Μέρος Α' , Κεφάλαιο 3ο, Οι φυσικοί αριθμοί, teagher,
Εκπαιδευτικό βίντεο από τo ΚΑΛΙΤΣΑ : https://mcjmcjmcj.wordpress.com/
Άρθρο του μαθήματος: https://wp.me/PJcUD-8x6/
#teagher, #ΕΚΠΑΙΔΕΥΣΗ, #ΜΑΘΗΜΑΤΑ, #ΓΥΜΝΑΣΙΟ #ΠΡΩΤΗΓΥΜΝΑΣΙΟΥ, #ΛΥΣΕΙΣ, #ΑΠΑΝΤΗΣΕΙΣ, #ΚΑΛΙΤΣΑ,
2.8 a absolute value functions
1. The document discusses absolute value functions and how to graph and write equations for them.
2. It explains that the graph of an absolute value function is V-shaped and defines the vertex and line of symmetry.
3. Examples are provided to demonstrate how to graph an absolute value function by finding the vertex and slope and plotting points, and how to write the equation of an absolute value function given its graph.
Alg2 lesson 2.4
This document discusses finding the slope and y-intercept of a line given its equation in slope-intercept form. It provides examples of writing equations of lines given their slopes and points, or two points the line passes through. It also discusses writing the equation of a line perpendicular to another line given a point on the perpendicular line.
R Bootcamp Day 3 Part 1 - Statistics in R
1. The document provides an overview of common statistical tests and functions in R, including linear regression and mixed models. It demonstrates how to perform t-tests, linear regression, and fit mixed models using the lm() and lme() functions.
2. Linear regression in R uses Wilkinson-Rogers notation to specify models in the lm() function. Mixed models can include both fixed and random effects, as demonstrated by fitting a basic mixed model with a random intercept to a subset of the Orthodont data.
3. Class lm objects have their own plot() function to visualize linear regression results. Summary() provides statistics on model fits while individual fields like coefficients and residuals can be accessed directly from the model object.
Operations on graph
This PowerPoint contains introduction of basic operations like subgraph, union of graph , complement of graph
2.8 coord. plane 1
The document provides examples and explanations for using the coordinate plane:
- It defines the key elements of the coordinate plane including the x-axis, y-axis, origin, quadrants, and ordered pairs used to identify points.
- An example shows how to plot the point (4, -2) by moving right 4 units and down 2 units from the origin.
- Another example solves a multi-step problem to find the perimeter of a rectangular region on a coordinate plane by identifying the coordinates of its vertices and calculating the length and width.
What's hot (20)
[Question Paper] Logic and Discrete Mathematics (Old Course) [April / 2015]
[Question Paper] Logic and Discrete Mathematics (Old Course) [April / 2015]
[Question Paper] Computer Graphics (Old Course) [June / 2014]
[Question Paper] Computer Graphics (Old Course) [June / 2014]
Δεκαδικά κλάσματα, Δεκαδικοί αριθμοί, Διάταξη δεκαδικών αριθμών, Στρογγυλοποίηση
Δεκαδικά κλάσματα, Δεκαδικοί αριθμοί, Διάταξη δεκαδικών αριθμών, Στρογγυλοποίηση
Viewers also liked
6.1 notes
The document discusses ratios, proportions, and geometric mean. It defines a ratio as a/b or a:b and an equivalent ratio as having the same simplified form. It states that proportions exist when two ratios are equal, and can be solved using cross multiplication. The geometric mean is defined as the square root of the product of two numbers.
4.3 notes
The document discusses the Side-Side-Side (SSS) congruence postulate for proving that two triangles are congruent. It states that if three pairs of corresponding sides of two triangles are congruent, then the two triangles are congruent. It provides an example of two triangles ABC and DEF where the three sides of triangle ABC are congruent to the three sides of triangle DEF, and therefore the two triangles are congruent.
12.3 notes
The document provides instructions on calculating the surface area of pyramids and cones. It defines the formulas for finding the surface area of regular pyramids and cones. Examples are given for calculating surface areas, including the dimensions of pyramids and cones. Students are assigned problems from their homework on finding surface areas of various objects.
Scale notes
The document discusses scale and how it relates distances on drawings to actual distances. It provides examples of different scales like 1/4 inch = 1 foot and asks the reader to convert between scales and determine distances represented by line lengths on drawings using various scales. It also asks the reader to draw a scaled floor plan of a room using a scale of 1 inch = 12 feet.
2.2 benefits and expenses notes
This document discusses employee benefits and expenses. It defines various common benefits such as health insurance, pensions, paid time off. It also defines common job expenses such as commuting costs, uniforms, licenses. It provides examples calculating total benefits for an employee and net benefits after subtracting job expenses. It asks homework questions involving calculating benefits, expenses, and net benefits for multiple employees in different job scenarios.
Dosage calculations
This document provides instructions and examples for calculating dosages of medication when the prescribed dose differs from the available form. It explains that proportions should be set up and cross-multiplied to determine the amount needed. Several examples are provided of calculating required tablets, milliliters, or other units using proportional reasoning from the prescribed dose and available concentration. The objective is to practice mathematical skills for determining correct medication dosages.
Geometry syllabus
This document provides a course description, rationale, materials, and expectations for a 10th grade geometry class taught by Mrs. Hedrick. The course will cover traditional geometry topics through transformations, symmetry, graph theory, and coordinate and synthetic geometry. Students will need a textbook, online access, calculator, and supplies. The teacher provides contact information and ways students can get updates through websites, Facebook, and Twitter. Students are expected to follow rules, complete bellwork and homework, and will be assessed through quizzes, tests and projects using a standard grading scale.
6.3 notes
The document defines similar polygons as polygons where corresponding angles are congruent and corresponding lengths are proportional. It introduces the scale factor as the ratio of lengths of corresponding sides in similar polygons. It states the theorem that if two polygons are similar, then the ratio of their perimeters is equal to the ratio of their corresponding side lengths. Finally, it notes that if two figures are congruent, then they are similar, and if two figures are similar, then the ratio of their corresponding sides is the scale factor.
4.6 APR notes
This document contains details from a student's credit card homework assignments, including examples of calculating average daily balances, finance charges using different credit card payment methods, and credit card interest rates. The document provides daily transaction details to demonstrate how to calculate average daily balances over a billing period and the resulting finance charges. It also includes practice problems for students to calculate average daily balances, finance charges, and ending balances based on provided credit card purchase and payment amounts over a specified time period.
Fly swatter game
1. This document contains a review for Chapter 6 with 15 multi-step math problems involving geometry and proportions.
2. It also includes a table with geometry terms, theorems, ratios, and values to help with the review questions.
3. The review covers topics like similar triangles, angle bisectors, indirect measurement, proportions, and calculating lengths, angles, areas, and heights using trigonometry or similar triangles.
1.5 notes
The document discusses different types of wage plans: piece-rate employees who are paid per item produced, with an example of an employee making $1.30 per picture frame; per diem employees who are paid a fixed daily rate, with an example of an employee paid $120 per day for 5 days; and tip employees, with an example of a 20% tip being left on a $46.86 bill.
10.2 notes
1) The document defines key terms related to arcs and angles in circles such as central angle, minor arc, major arc, semicircle, and explains how to calculate the measure of minor and major arcs.
2) It introduces the arc addition postulate which states that the measure of an arc is equal to the sum of the measures of its interior arcs.
3) Finally, it notes that congruent arcs have the same measure and are found in congruent circles with the same radius.
5.1 5.2 notes
The document discusses midsegments and perpendicular bisectors of triangles. It defines a midsegment as a segment connecting the midpoints of two sides of a triangle. The midsegment theorem states that a midsegment is parallel to the third side and half as long. A perpendicular bisector is a segment perpendicular to a segment at its midpoint. The perpendicular bisector theorem says that if a point is on the bisector, it is equidistant from the endpoints. Their point of concurrency is called the circumcenter.
Multiply & divide measurments notes
This document contains instructions and examples for multiplying and dividing measurements. It includes warm up exercises subtracting measurements, examples multiplying measurements like feet and inches by various numbers, and exercises to divide measurements. The document was created on October 26, 2012 and saved on different dates for class work and homework assignments on multiplying and dividing measurements.
Unit 5 bingo practice test
1. The document provides a "question bank" of math problems for a unit 5 bingo game. There are 45 problems in various math topics like geometry, coordinates, and algebra.
2. Players are instructed to choose 24 problems from the bank to solve and mark off on their bingo sheet.
3. The first player to complete a row of answers by calling out "bingo" wins.
3.6 savings account
The document discusses savings account interest calculations. It provides examples of calculating simple interest on a balance over 6 months at 1.5% annual interest paid semiannually. It also shows how to calculate compound interest, including finding the balance of an account with an initial $800 deposit earning 2% interest compounded quarterly after 1 year. Finally, it asks the reader to use compound interest tables to find the interest earned on deposits of $400 at 2.5% for 12 years and $1200 at 4% compounded quarterly for 3 years.
6.5 notes
This document discusses two theorems for proving triangle similarity: the SSS Similarity Theorem and the SAS Similarity Theorem. The SSS Similarity Theorem states that if three corresponding sides of two triangles are proportional, then the triangles are similar. The SAS Similarity Theorem states that if one angle of one triangle is congruent to one angle of another triangle and their included sides are proportional, then the triangles are similar. Examples are provided to illustrate each theorem.
1.10 notes
This document contains notes from a math class on the coordinate plane, including:
- Identifying quadrants and points on the coordinate plane
- Examples of writing the coordinates of points and identifying which quadrant they are located in
- Steps for graphing a point on the coordinate plane
- An upcoming activity where students will match coordinates to cards and read their card when their coordinates are called
Roofing notes
The document discusses different types of roofs and provides examples of calculating their areas. It covers shed roofs, gable roofs, gambrel roofs, and hip roofs. Formulas are provided for calculating the areas of triangular and trapezoidal roof sections. Worked examples are given for each type of roof.
Viewers also liked (19)
Similar to 3.4 notes
3.4 notes
This document introduces the concept of slope and how it relates to parallel and perpendicular lines. It defines slope as the ratio of rise over run between two points on a line. Slope can be positive, negative, zero, or undefined depending on the orientation of the line. The document states that two lines are parallel if they have the same slope, and two lines are perpendicular if the product of their slopes is -1. It provides examples of finding the slope of a line and using slopes to determine if lines are parallel or perpendicular. It instructs students to complete guided practice problems with a partner.
3.4 notes
This document contains notes on slope from a geometry class. It defines slope as the ratio of rise over run between two points on a line. It explains that negative slope means a line falls from left to right, positive slope means it rises, zero slope is a horizontal line, and undefined slope is a vertical line. It states the postulates that parallel lines have the same slope, and perpendicular lines have slopes that multiply to -1. The document provides examples and guided practice problems for students to complete on finding and using slopes of lines.
8th alg -l4.3
This document contains notes from a math lesson on linear equations. It includes:
1) An assignment listing chapter problems and tests due on the next few days.
2) Examples of writing equations of lines in slope-intercept and point-slope form, and graphing the equations.
3) Converting between standard, slope-intercept, and point-slope forms of linear equations.
Order of operations
The document discusses the order of operations and provides examples of how to evaluate algebraic expressions according to the proper order of operations. It defines the order of operations as follows:
1) Evaluate expressions inside grouping symbols
2) Evaluate all powers
3) Do all multiplications and divisions from left to right
4) Do all additions and subtractions from left to right
It also provides the mnemonic device "PEMDAS" to help remember the proper order of operations.
January 13, 2014
The document provides information and practice questions about linear functions and slope:
- It instructs the reader to prepare for an upcoming final exam and coordinate test.
- Several practice questions are provided about slope, equations of lines, graphs, and using linear functions to model real-world scenarios.
- The questions cover topics like determining the slope between two points, writing equations in point-slope form, interpreting slope in context, and using linear models to solve word problems.
October 15, 2015
This document contains notes from a math class that covered the following topics:
- Formulas for calculating the perimeter and area of triangles.
- Practice problems working with triangles, fractions, decimals, and expressions.
- An upcoming test on these topics and reminders for students to have the proper materials and not share answers during the test.
Alg 1 day 53 ch. 6.2 continued
The document is an agenda for a math class that includes:
1) Reviewing slope-intercept form by putting equations into that form and finding the slope and y-intercept
2) Having students complete homework problems involving writing equations in slope-intercept form, finding slopes and y-intercepts, and graphing lines
3) Discussing whether statements about slopes and lines are true or false
Similar to 3.4 notes (7)
More from Mrs. Hedrick's Class
Strafford Volleyball Apparel
This document appears to be an order form for Strafford Indian Volleyball apparel and merchandise. It lists various items available for purchase including short sleeve t-shirts, long sleeve t-shirts, hoodies, wind shirts, shorts, track jackets, hats, and more. The items are available in a range of sizes from youth to adult sizes. Each item lists a price and there are options for different embroidery designs on some of the jackets and hats.
Ch 12 unit schedule
This document outlines the Geometry 2016 Chapter 12 unit on 3D shapes that will be covered from April 11th to April 29th. It includes the chapter sections and topics to be covered each day, such as different types of prisms and pyramids, as well as the homework assignments and assessments including quizzes, tests, and a study guide.
Ch 10 unit schedule
This document provides a schedule for Geometry Chapter 10 on Circles over a two week period from February 29th to March 11th and March 21st to March 25th. Each day covers a different section of the chapter, with assigned problems and quizzes listed. The schedule culminates with a paper plate review, studying for the chapter test, taking the test, and then correcting any errors on the test.
Ch 7 unit schedule
This document outlines the Geometry unit 7 schedule for January 2016. It includes lessons on sections 7.1 through 7.4 focusing on trigonometry, with worksheets and quizzes planned for most days. A practice quiz, study guide, and trigonometry test are scheduled for the third week. Snow days are noted on January 15th and 18th, with tutoring available by arrangement.
Stockton Tournament Schedule 2015
The document summarizes a volleyball tournament taking place on October 3, 2015 in Stockton. It outlines the tournament structure, including three pools (A, B, C) divided by age/skill level with 4 teams each. A schedule is provided for round robin pool play matches between the teams, with the top two teams from each pool and the next two best records advancing to bracket playoff rounds. Bracket play will begin at 1:30 PM and be a best-of-three format to determine 1st, 2nd, and 3rd place trophies.
Lake Volley Fest
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.
More from Mrs. Hedrick's Class (20)
Recently uploaded
Community pharmacy- Social and preventive pharmacy UNIT 5
Covered community pharmacy topic of the subject Social and preventive pharmacy for Diploma and Bachelor of pharmacy
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityAkanksha trivedi rama nursing college kanpur.
Natural birth techniques are various type such as/ water birth , alexender method, hypnosis, bradley method, lamaze method etcHow to Make a Field Mandatory in Odoo 17
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
BBR 2024 Summer Sessions Interview Training
Qualitative research interview training by Professor Katrina Pritchard and Dr Helen Williams
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar KanvariaHindi varnamala | hindi alphabet PPT.pdf
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Aberdeen
Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
clinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
Discover the Simplified Electron and Muon Model: A New Wave-Based Approach to Understanding Particles delves into a groundbreaking theory that presents electrons and muons as rotating soliton waves within oscillating spacetime. Geared towards students, researchers, and science buffs, this book breaks down complex ideas into simple explanations. It covers topics such as electron waves, temporal dynamics, and the implications of this model on particle physics. With clear illustrations and easy-to-follow explanations, readers will gain a new outlook on the universe's fundamental nature.
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS Template 2023-2024 by: Irene S. Rueco
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingExcellence Foundation for South Sudan
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.Digital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments Unit - NGV Pavilion Concept Design
Recently uploaded (20)
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
Pride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School District
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
3.4 notes
- 2. 3.4 Slope HW pg. 175 #39 odd, 1329 odd 2 September 27, 2013 Oct 54:19 PM 3.4 Find and Use Slopes of Lines Slope: ratio of vertical change (rise) to horizontal change (run) between any 2 points. Slope = rise change in y y 2 - y1 run change in x x 2 - x1 Negative Slope: falls from left to right Positive Slope: rises from left to right Zero Slope: horizontal line Undefined Slope: vertical line == run (x2 - x1) rise (y2 - y1)
- 3. 3.4 Slope HW pg. 175 #39 odd, 1329 odd 3 September 27, 2013 Oct 54:31 PM Comparing Slopes: When 2 lines intersect, the steeper line has the slope with greater absolute value. Postulate 17: Slopes of Parallel Lines 2 lines are // iff they have the same slope. m1 = m2 Postulate 18: Slopes of Perpendicular Lines 2 lines are iff the product of their slopes is -1. m1 * m2 = -1
- 4. 3.4 Slope HW pg. 175 #39 odd, 1329 odd 4 September 27, 2013 Oct 611:50 AM With your group, complete #3 in guided practice.
- 7. 3.4 Slope HW pg. 175 #39 odd, 1329 odd 7 September 27, 2013 Oct 612:23 PM With your group, complete problems 4 & 5 in guided practice.
- 8. 3.4 Slope HW pg. 175 #39 odd, 1329 odd 8 September 27, 2013 Oct 61:19 PM HW pg. 175 #3-9 odd, 13-29 odd