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Lesson 9 2 comparing integers
Comparing integers involves determining whether a number is greater than, less than, or equal to another number. Students are asked to compare integers by determining the relationship between them and writing the appropriate symbol (<, >, or =) in a worksheet for Mrs. Labuski or Mrs. Rooney's math class.
Lesson 7 4 classifying lines
This document defines and provides examples of different types of lines: intersecting lines cross at one point, parallel lines never intersect but are in the same plane, perpendicular lines form 90 degree angles, and skew lines lie in different planes and neither intersect nor are parallel. Students are asked to classify lines based on these definitions for lesson 7-4.
Chapter 11 review
1. The document is a review worksheet for Chapter 11 that contains 20 probability questions.
2. The questions cover topics like tossing coins, spinning spinners, experimental vs theoretical probabilities, tree diagrams, and predicting outcomes of random events.
3. The student provided responses to each question, showing the work and calculations for some of the probability problems.
Lesson 10 7 surface area-cylinder
1. To find the surface area of a cylinder, calculate the area of the two circular bases using πr^2 and add that to the area of the curved surface.
2. The area of the curved surface is calculated by treating it as a rectangle with the circumference of the base as the length and the height of the cylinder as the width.
3. The total surface area is the sum of the areas of the two bases and the curved surface.
Test prep. unit 8 common core questions
This document provides a review of percents for a math class. It includes definitions of percents, examples of equivalent ratios expressed as percents, and multiple choice and word problems involving calculating and comparing percents. The problems cover topics like determining percentages of totals, comparing ratios, sales tax calculations, and determining if driving a longer distance to benefit from a sales tax difference is worthwhile based on gas mileage and price.
Lesson 1 3 exponents
This document defines exponents and exponential form. It provides examples of writing numbers in exponential form, such as 4x4x4 = 43, and finding the value of numbers in exponential form, like 23 = 2x2x2 = 8. Exponents tell how many times a base number, or the number being used as a factor, is used. The vocabulary terms defined are exponential form, exponent, base, squared when the exponent is 2, and cubed when the exponent is 3.
Two step equations
This document contains sample two-step equation problems and their step-by-step solutions. The problems include equations with addition and subtraction as well as multiplication. The solutions show the steps to isolate the variable including combining like terms and dividing both sides by the coefficient of the variable.
Lesson 8 2 proportions
The document is a lesson on proportions that includes examples and practice problems. It defines a proportion as an equation that shows two equivalent ratios. It provides examples of using cross products to solve proportions, such as finding the missing value in 3 = n / 4 16 by setting the cross products equal: 3= n / 4 16, 4n = 3*16, 4n = 48, n = 12. Students are given additional practice problems to solve proportions using cross products.
Recommended
Lesson 9 2 comparing integers
Comparing integers involves determining whether a number is greater than, less than, or equal to another number. Students are asked to compare integers by determining the relationship between them and writing the appropriate symbol (<, >, or =) in a worksheet for Mrs. Labuski or Mrs. Rooney's math class.
Lesson 7 4 classifying lines
This document defines and provides examples of different types of lines: intersecting lines cross at one point, parallel lines never intersect but are in the same plane, perpendicular lines form 90 degree angles, and skew lines lie in different planes and neither intersect nor are parallel. Students are asked to classify lines based on these definitions for lesson 7-4.
Chapter 11 review
1. The document is a review worksheet for Chapter 11 that contains 20 probability questions.
2. The questions cover topics like tossing coins, spinning spinners, experimental vs theoretical probabilities, tree diagrams, and predicting outcomes of random events.
3. The student provided responses to each question, showing the work and calculations for some of the probability problems.
Lesson 10 7 surface area-cylinder
1. To find the surface area of a cylinder, calculate the area of the two circular bases using πr^2 and add that to the area of the curved surface.
2. The area of the curved surface is calculated by treating it as a rectangle with the circumference of the base as the length and the height of the cylinder as the width.
3. The total surface area is the sum of the areas of the two bases and the curved surface.
Test prep. unit 8 common core questions
This document provides a review of percents for a math class. It includes definitions of percents, examples of equivalent ratios expressed as percents, and multiple choice and word problems involving calculating and comparing percents. The problems cover topics like determining percentages of totals, comparing ratios, sales tax calculations, and determining if driving a longer distance to benefit from a sales tax difference is worthwhile based on gas mileage and price.
Lesson 1 3 exponents
This document defines exponents and exponential form. It provides examples of writing numbers in exponential form, such as 4x4x4 = 43, and finding the value of numbers in exponential form, like 23 = 2x2x2 = 8. Exponents tell how many times a base number, or the number being used as a factor, is used. The vocabulary terms defined are exponential form, exponent, base, squared when the exponent is 2, and cubed when the exponent is 3.
Two step equations
This document contains sample two-step equation problems and their step-by-step solutions. The problems include equations with addition and subtraction as well as multiplication. The solutions show the steps to isolate the variable including combining like terms and dividing both sides by the coefficient of the variable.
Lesson 8 2 proportions
The document is a lesson on proportions that includes examples and practice problems. It defines a proportion as an equation that shows two equivalent ratios. It provides examples of using cross products to solve proportions, such as finding the missing value in 3 = n / 4 16 by setting the cross products equal: 3= n / 4 16, 4n = 3*16, 4n = 48, n = 12. Students are given additional practice problems to solve proportions using cross products.
Lesson 8 9 percent problems
The document is a math worksheet that provides word problems involving calculating percentages. It includes 7 problems where students are asked to write out the percentage calculation as a proportion and solve to find the number that represents a percentage of a given total. The first problem asks students to calculate that 45% of 420 frozen yogurt cups sold per day would be 189 cups sold to teenagers.
Lesson 7 7 polygons
This document provides definitions and examples of polygons, including regular and irregular polygons. It defines a polygon as a closed plane figure formed by three or more line segments. A regular polygon is one where all sides are congruent and all angles are congruent, while examples of irregular polygons do not meet these criteria. Specific polygons are defined by the number of sides, including triangles with 3 sides, quadrilaterals with 4 sides, pentagons with 5 sides, hexagons with 6 sides, and octagons with 8 sides.
Lessons 7 1-7-5 quiz review
This document contains a chapter 7 quiz review with multiple choice and short answer questions about angles, lines, planes, triangles and their classifications. There are questions to identify different geometric terms, find missing angle measures using relationships, classify triangles based on sides or angles, and solve problems involving triangle properties.
Lesson 11 4 tree diagrams
This document contains a lesson on using tree diagrams to solve problems involving combinations and permutations. It provides an example of using a tree diagram to list the 6 possible sandwich combinations from 3 bread options and 2 meat options. It then lists 4 word problems and uses tree diagrams to show the solutions: 12 ice cream cone combinations, 8 bike options, 9 travel options for Mr. Simon, 8 uniform combinations for the band, and 6 possible sitting orders for 3 people.
Lesson 6 5 frequency tables & histograms
The document provides instructions and examples for making frequency tables and histograms. It includes examples of tally tables, cumulative frequency tables, and histograms using sample data about student votes for a homework-free day and number of vacation days. Students are asked to make a tally table and cumulative frequency table for homework votes data and a tally table with intervals of 5 for vacation days data.
Lesson 6 8 misleading graphs
This document contains a worksheet about misleading graphs. It includes graphs that use different scales, making the data appear different than it is. Students are asked questions to identify how the graphs are misleading and how they could be improved. Specifically, one graph shows medal counts from the 2002 Winter Olympics in a way that makes it seem Norway won half as many as the US, when in fact the US won more. The scales start above zero and are unevenly spaced.
Lesson 8 10 homework & practice
This document contains 10 math word problems. For each problem, the student is asked to identify an unknown percentage, calculate it, and show the work. The problems cover topics like discounts, taxes, tips and calculating percentages of totals. The student's work and solutions are written in below the problems.
Lesson 10 6 solid figures
This document defines key vocabulary terms related to solid figures including polyhedron, face, edge, vertex, prism, base, pyramid, cylinder, and cone. A polyhedron is a 3D solid object with flat polygon faces that meet at edges. A prism has two parallel polygon bases and pyramid has one polygon base and triangular sides meeting at a vertex. Cylinders and cones are not considered polyhedrons because their faces are circular rather than polygons.
Chapter tests
The document contains sample questions and answers from a math chapter test. It includes examples of tables, graphs, measures of central tendency, and other math problems one might encounter on such an assessment. Key details provided include stock prices over 5 days, employee vacation days, quiz scores, and more.
Two step equations distributive
The document contains two worksheets on solving two-step equations using the distributive property. The first worksheet provides 8 practice problems for students to solve equations of the form a(bx + c) = d. The second worksheet provides 10 homework problems for students to solve and check two-step equations, along with spaces for them to show their work.
Lesson 7 3 angle relationships
This document defines and provides examples of different types of angle relationships:
- Congruent angles have the same measure. Vertical angles are congruent.
- Adjacent angles are side by side and share a common vertex but may or may not be congruent.
- Complementary angles have measures that sum to 90 degrees. Supplementary angles have measures that sum to 180 degrees.
Code contracts by Dmytro Mindra
This document discusses code contracts, which extend abstract data types with preconditions, postconditions, and invariants. Code contracts allow programmers to specify conditions that must be true before, after, and during execution. The document outlines key contract terms like preconditions, postconditions, and invariants. It also discusses how to add contracts to code using Code Contracts in .NET and demonstrates contract verification, inheritance of contracts, and handling contract failures at runtime. Code Contracts allow formal specification and static/dynamic checking of interface behaviors to help catch errors and improve code quality.
From policy to practice with DMP Online
Presentation given by Sarah Jones and Martin Donnelly at the Future Perfect conference, 26th-27th March 2012 in Wellington, New Zealand.
Rocca Facebook Leombruni
Alberto Leombruni is a PhD student at Politecnico of Milano who is visiting MIT for three semesters through the Progetto Rocca program. His research involves using microfluidics to analyze how biofilms form and are spatially distributed in porous media and the coupling between porous media hydrodynamics and biofilm formation, as well as continuing his microfluidic research into hydrological processes and engineering applications.
Hindustan Times July 28, 2009
Jagannadham Thunuguntla, equity head at SMC Capitals, has an explanation. “The confidence among foreign funds, be it venture capital or private equity, hasn’t been restored after what happened back home.”
Quiz week 1 & 2 study guide
This document is a study guide for nouns created by Mrs. Labuski. It contains vocabulary terms related to nouns and lists 21 lessons on different types of nouns including concrete nouns, abstract nouns, common nouns, proper nouns, singular nouns, plural nouns, and possessive nouns. For each lesson, it provides links to online interactive activities and practice exercises related to the noun topic. It also lists additional grammar resources for further practice.
Quiz week 1 & 2 practice
This document contains a quiz on nouns with questions about identifying different types of nouns such as proper, concrete, abstract, and plural nouns. It also contains exercises on forming plural nouns and possessive nouns as well as a short story and questions to identify nouns in the story. The key provides the answers to the quiz and exercises.
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Lesson 8 9 percent problems
The document is a math worksheet that provides word problems involving calculating percentages. It includes 7 problems where students are asked to write out the percentage calculation as a proportion and solve to find the number that represents a percentage of a given total. The first problem asks students to calculate that 45% of 420 frozen yogurt cups sold per day would be 189 cups sold to teenagers.
Lesson 7 7 polygons
This document provides definitions and examples of polygons, including regular and irregular polygons. It defines a polygon as a closed plane figure formed by three or more line segments. A regular polygon is one where all sides are congruent and all angles are congruent, while examples of irregular polygons do not meet these criteria. Specific polygons are defined by the number of sides, including triangles with 3 sides, quadrilaterals with 4 sides, pentagons with 5 sides, hexagons with 6 sides, and octagons with 8 sides.
Lessons 7 1-7-5 quiz review
This document contains a chapter 7 quiz review with multiple choice and short answer questions about angles, lines, planes, triangles and their classifications. There are questions to identify different geometric terms, find missing angle measures using relationships, classify triangles based on sides or angles, and solve problems involving triangle properties.
Lesson 11 4 tree diagrams
This document contains a lesson on using tree diagrams to solve problems involving combinations and permutations. It provides an example of using a tree diagram to list the 6 possible sandwich combinations from 3 bread options and 2 meat options. It then lists 4 word problems and uses tree diagrams to show the solutions: 12 ice cream cone combinations, 8 bike options, 9 travel options for Mr. Simon, 8 uniform combinations for the band, and 6 possible sitting orders for 3 people.
Lesson 6 5 frequency tables & histograms
The document provides instructions and examples for making frequency tables and histograms. It includes examples of tally tables, cumulative frequency tables, and histograms using sample data about student votes for a homework-free day and number of vacation days. Students are asked to make a tally table and cumulative frequency table for homework votes data and a tally table with intervals of 5 for vacation days data.
Lesson 6 8 misleading graphs
This document contains a worksheet about misleading graphs. It includes graphs that use different scales, making the data appear different than it is. Students are asked questions to identify how the graphs are misleading and how they could be improved. Specifically, one graph shows medal counts from the 2002 Winter Olympics in a way that makes it seem Norway won half as many as the US, when in fact the US won more. The scales start above zero and are unevenly spaced.
Lesson 8 10 homework & practice
This document contains 10 math word problems. For each problem, the student is asked to identify an unknown percentage, calculate it, and show the work. The problems cover topics like discounts, taxes, tips and calculating percentages of totals. The student's work and solutions are written in below the problems.
Lesson 10 6 solid figures
This document defines key vocabulary terms related to solid figures including polyhedron, face, edge, vertex, prism, base, pyramid, cylinder, and cone. A polyhedron is a 3D solid object with flat polygon faces that meet at edges. A prism has two parallel polygon bases and pyramid has one polygon base and triangular sides meeting at a vertex. Cylinders and cones are not considered polyhedrons because their faces are circular rather than polygons.
Chapter tests
The document contains sample questions and answers from a math chapter test. It includes examples of tables, graphs, measures of central tendency, and other math problems one might encounter on such an assessment. Key details provided include stock prices over 5 days, employee vacation days, quiz scores, and more.
Two step equations distributive
The document contains two worksheets on solving two-step equations using the distributive property. The first worksheet provides 8 practice problems for students to solve equations of the form a(bx + c) = d. The second worksheet provides 10 homework problems for students to solve and check two-step equations, along with spaces for them to show their work.
Lesson 7 3 angle relationships
This document defines and provides examples of different types of angle relationships:
- Congruent angles have the same measure. Vertical angles are congruent.
- Adjacent angles are side by side and share a common vertex but may or may not be congruent.
- Complementary angles have measures that sum to 90 degrees. Supplementary angles have measures that sum to 180 degrees.
Code contracts by Dmytro Mindra
This document discusses code contracts, which extend abstract data types with preconditions, postconditions, and invariants. Code contracts allow programmers to specify conditions that must be true before, after, and during execution. The document outlines key contract terms like preconditions, postconditions, and invariants. It also discusses how to add contracts to code using Code Contracts in .NET and demonstrates contract verification, inheritance of contracts, and handling contract failures at runtime. Code Contracts allow formal specification and static/dynamic checking of interface behaviors to help catch errors and improve code quality.
From policy to practice with DMP Online
Presentation given by Sarah Jones and Martin Donnelly at the Future Perfect conference, 26th-27th March 2012 in Wellington, New Zealand.
Rocca Facebook Leombruni
Alberto Leombruni is a PhD student at Politecnico of Milano who is visiting MIT for three semesters through the Progetto Rocca program. His research involves using microfluidics to analyze how biofilms form and are spatially distributed in porous media and the coupling between porous media hydrodynamics and biofilm formation, as well as continuing his microfluidic research into hydrological processes and engineering applications.
Hindustan Times July 28, 2009
Jagannadham Thunuguntla, equity head at SMC Capitals, has an explanation. “The confidence among foreign funds, be it venture capital or private equity, hasn’t been restored after what happened back home.”
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This document is a study guide for nouns created by Mrs. Labuski. It contains vocabulary terms related to nouns and lists 21 lessons on different types of nouns including concrete nouns, abstract nouns, common nouns, proper nouns, singular nouns, plural nouns, and possessive nouns. For each lesson, it provides links to online interactive activities and practice exercises related to the noun topic. It also lists additional grammar resources for further practice.
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This document contains a quiz on nouns with questions about identifying different types of nouns such as proper, concrete, abstract, and plural nouns. It also contains exercises on forming plural nouns and possessive nouns as well as a short story and questions to identify nouns in the story. The key provides the answers to the quiz and exercises.
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This document contains a math lesson on calculating the volume of rectangular prisms. It provides examples of three rectangular prisms with different heights but the same length and width, and has students write expressions for the volume of each. It then has students recognize that these expressions all represent the area of the base multiplied by the height. Students are asked to determine the volumes of additional prisms using this area of base times height formula.
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This document contains notes from a math lesson on volume. It discusses determining the volume of composite figures using decomposition into simpler shapes. Students will practice finding the volume of various objects. The document contains examples of area problems and notes for students to solve.
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1) This lesson teaches students the formulas for calculating the volume of right rectangular prisms and cubes. It provides examples of using the formulas to find the volume when given the length, width, height or area of the base.
2) Students complete exercises that explore how changes to the lengths or heights affect the volume. They discover that if the height is doubled, the volume is also doubled, and if the height is tripled the volume is tripled.
3) No matter the shape, when the side lengths are changed by the same fractional amount, the volume changes by that fractional amount cubed. For example, if the sides are halved, the volume is one-eighth of the original.
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This document provides examples and exercises about calculating the volumes of cubes and rectangular prisms using formulas. It begins with examples of calculating the volume of a cube with sides of 2 1/4 cm and a rectangular prism with a base area of 7/12 ft^2 and height of 1/3 ft. The exercises then involve calculating volumes of cubes and prisms when dimensions are changed, identifying relationships between dimensions and volumes, and writing expressions for volumes.
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This lesson teaches students about calculating the volume of rectangular prisms using two different formulas: 1) length × width × height and 2) area of the base × height. Students work through examples calculating the volume of various rectangular prisms using both formulas. They learn that it does not matter which face is used as the base, as the volume will be the same. The lesson reinforces that volume can be expressed in multiple equivalent ways and emphasizes using the area of the base times the height.
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This document provides examples and problems about calculating the volume of rectangular prisms. It begins by showing different rectangular prisms and having students write expressions for the volume of each using length, width, and height. It explains that the volume can also be written as the area of the base times the height. Students then practice calculating volumes using both methods. Later problems involve calculating volume when given the area of the base and height or vice versa. The goal is for students to understand that the volume of a rectangular prism is the area of its base multiplied by its height.
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This lesson teaches students how to determine the area and perimeter of polygons on a coordinate plane. It includes examples of calculating area and perimeter of polygons. Students are given exercises to calculate the area of various polygons, determine both the area and perimeter of shapes, and write expressions to represent the area calculated in different ways. The lesson aims to help students practice finding area and perimeter of polygons located on a coordinate plane.
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