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1613 probability
The document discusses two types of probability: theoretical and experimental. Theoretical probability is calculated using the number of desired outcomes divided by the total number of possible outcomes when all outcomes are equally likely. Experimental probability is calculated by performing experiments or surveys to determine the likelihood of events. Geometric probability uses areas or volumes to calculate probabilities as ratios of the desired outcome space to the total possible outcome space.
Vocab lessons 7 1 through 7-5
- A point is named by a capital letter. A line is named by two points on the line. A plane is named by three non-collinear points.
- A line segment is named by its two endpoints. A ray has one endpoint and extends without end in one direction. An angle is named using the vertex in the middle and the two rays.
- Angles are measured and can be acute, right, or obtuse. A protractor is used to measure angles. Vertical angles, adjacent angles, complementary angles, and supplementary angles are special angle relationships.
Integer review
This document provides a review of integer operations including addition, subtraction, multiplication, and division. It gives the rules for determining the sign of the answer when combining integers with the same or different signs. Examples are worked out for adding, subtracting, multiplying, and dividing integers. The sign rules are that the product is positive if the signs are the same and negative if they are different, and the quotient is positive if the signs are the same and negative if they are different.
Unit 4 test review
This document outlines a 11-day unit on number theory including lessons on prime and composite numbers, factors and prime factorization, greatest common factor, properties of operations, the distributive property, equivalent expressions, and solving expressions using related concepts. It provides learning standards, vocabulary words, and example problems for students to practice these skills in working with numbers, variables, and algebraic expressions. A unit review is also included to assess student understanding of the key concepts covered.
Lesson 10 7 surface area-cylinder hw skeleton
The document discusses formulas for calculating the surface area of various shapes. It provides the formulas to calculate the surface area of bases (A=πr^2) and curved surfaces (C=πd) of objects. It then shows how to calculate the total surface area (S) by adding the surface areas of the bases and curved surface.
Lesson 11 3 theoretical probability
1. The document provides examples of calculating theoretical probabilities using a coin, dice, and other objects. It defines theoretical probability as the probability when all outcomes are equally likely.
2. It also discusses finding the probability of events not occurring by subtracting the probability of the event from 100%.
3. Several examples are worked out calculating probabilities of outcomes from coins, dice, spinners, bags of marbles using the formula for theoretical probability.
Lesson 2 2 translating between words and math notes
This document provides examples of translating between mathematical expressions and words. For numerical expressions, it shows the operations of addition, subtraction, multiplication, and division, along with their equivalent words. For algebraic expressions, it uses variables like x, m, and y in the operations and provides the corresponding word translations. The goal is to practice changing between mathematical symbols and verbal descriptions.
Lesson 10 7 surface area
The document provides instructions for calculating the surface area of various 3D shapes. It defines surface area as the sum of the areas of all surfaces of a solid figure. It then works through examples of finding the surface area of a triangular prism and rectangular prism by calculating the area of each face and adding them together. Students are provided practice problems to find the surface area of additional prisms.
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1613 probability
The document discusses two types of probability: theoretical and experimental. Theoretical probability is calculated using the number of desired outcomes divided by the total number of possible outcomes when all outcomes are equally likely. Experimental probability is calculated by performing experiments or surveys to determine the likelihood of events. Geometric probability uses areas or volumes to calculate probabilities as ratios of the desired outcome space to the total possible outcome space.
Vocab lessons 7 1 through 7-5
- A point is named by a capital letter. A line is named by two points on the line. A plane is named by three non-collinear points.
- A line segment is named by its two endpoints. A ray has one endpoint and extends without end in one direction. An angle is named using the vertex in the middle and the two rays.
- Angles are measured and can be acute, right, or obtuse. A protractor is used to measure angles. Vertical angles, adjacent angles, complementary angles, and supplementary angles are special angle relationships.
Integer review
This document provides a review of integer operations including addition, subtraction, multiplication, and division. It gives the rules for determining the sign of the answer when combining integers with the same or different signs. Examples are worked out for adding, subtracting, multiplying, and dividing integers. The sign rules are that the product is positive if the signs are the same and negative if they are different, and the quotient is positive if the signs are the same and negative if they are different.
Unit 4 test review
This document outlines a 11-day unit on number theory including lessons on prime and composite numbers, factors and prime factorization, greatest common factor, properties of operations, the distributive property, equivalent expressions, and solving expressions using related concepts. It provides learning standards, vocabulary words, and example problems for students to practice these skills in working with numbers, variables, and algebraic expressions. A unit review is also included to assess student understanding of the key concepts covered.
Lesson 10 7 surface area-cylinder hw skeleton
The document discusses formulas for calculating the surface area of various shapes. It provides the formulas to calculate the surface area of bases (A=πr^2) and curved surfaces (C=πd) of objects. It then shows how to calculate the total surface area (S) by adding the surface areas of the bases and curved surface.
Lesson 11 3 theoretical probability
1. The document provides examples of calculating theoretical probabilities using a coin, dice, and other objects. It defines theoretical probability as the probability when all outcomes are equally likely.
2. It also discusses finding the probability of events not occurring by subtracting the probability of the event from 100%.
3. Several examples are worked out calculating probabilities of outcomes from coins, dice, spinners, bags of marbles using the formula for theoretical probability.
Lesson 2 2 translating between words and math notes
This document provides examples of translating between mathematical expressions and words. For numerical expressions, it shows the operations of addition, subtraction, multiplication, and division, along with their equivalent words. For algebraic expressions, it uses variables like x, m, and y in the operations and provides the corresponding word translations. The goal is to practice changing between mathematical symbols and verbal descriptions.
Lesson 10 7 surface area
The document provides instructions for calculating the surface area of various 3D shapes. It defines surface area as the sum of the areas of all surfaces of a solid figure. It then works through examples of finding the surface area of a triangular prism and rectangular prism by calculating the area of each face and adding them together. Students are provided practice problems to find the surface area of additional prisms.
Unit 4 test review
This document outlines a 11-day unit on number theory including lessons on prime and composite numbers, factors and prime factorization, greatest common factor, properties of operations, the distributive property, equivalent expressions, and solving expressions using the distributive property. It provides learning standards, vocabulary words, and example problems for students to practice these key number theory concepts. A unit review is also included to assess student understanding of the material covered.
Lesson 11 2 experimental probability
The document defines key terms related to experimental probability such as experiment, outcome, sample space, and experimental probability. It then provides examples of experiments with different outcomes and sample spaces. Students are asked to identify outcomes and sample spaces for given experiments. They are also asked to calculate experimental probabilities based on data from experiments involving selecting marbles from a bag, cards from a deck, and coin tosses.
Lesson 11 5 compound events
1. The document provides examples and definitions for compound probability, which involves the probability of two or more independent events occurring.
2. To calculate the probability of landing on 1 and black on a spinner and choosing a black marble, the document lists the 8 possible outcomes and identifies that there are 2 outcomes where the spinner lands on 1 and the marble is black. The probability is calculated as 2/8.
3. A tree diagram is used to calculate the probability of a coin landing on heads, a spinner landing on 3, and choosing a black marble. There are 18 total outcomes and 1 outcome that meets all 3 criteria, so the probability is 1/18.
Cricket experimental probability
The lesson plan aims to teach students about estimating probability through playing cricket games. Students will throw balls at a door with a wicket attached to try and hit it, and the probability of success will be calculated. They will also play a cricket spinning game in pairs and calculate probabilities of scoring different runs. Exam questions on probability will be given as an example of assessment.
Chapter 10 practice test
1. The document contains a practice test for a geometry chapter with 25 questions testing various geometry concepts like perimeter, area, surface area, and volume.
2. The questions cover finding the perimeter of polygons, area of rectangles, parallelograms, triangles, and composite figures, parts and circumference of circles, identifying solid figures, and calculating surface area of prisms, pyramids, and cylinders as well as volume of rectangular prisms, triangular prisms, and cylinders.
3. The document provides step-by-step work for each question showing the formulas used, values plugged in, calculations, and final answers.
Module 4 lesson 32
This document describes a math lesson on multi-step word problems involving equations. It includes examples of setting up equations to represent relationships between variables in real-world scenarios involving buying beverages, saving money each week, collecting books, and the cost of rides at a fair. Students are asked to identify independent and dependent variables, create tables and graphs modeling the equations, and write sentences describing the variable relationships. The closing asks students to check a friend's work on a taxi cab cost problem, where the friend has identified the variables incorrectly.
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 faces that are rectangles or other polygons. A pyramid has one polygon base and triangular faces that meet at a vertex. Cylinders and cones are not considered polyhedrons because their faces are circular rather than polygons.
G6 m4-d-lesson 9-t
This document provides examples and exercises for teaching students how to write mathematical expressions for addition and subtraction. It begins with examples showing how to write expressions for sums, increases, and decreases. Students then complete exercises practicing writing expressions for various addition and subtraction scenarios. The lesson emphasizes using diagrams to model expressions and understand the commutative property of addition.
Solving inequailities 1 student notes
1. The document contains a worksheet with 8 graphing inequality problems labeled 1 through 8. Each problem contains an inequality and instructions to graph it on the corresponding axis.
2. Some of the inequalities include: x < 1, m ≤ -9, 8 + n ≤ -2, n ≤ -10, 6 ≤ x, y < 6, x ≤ 16, and n > 72.
3. The worksheet provides the axes to graph each inequality and shows where to plot points corresponding to numbers in each inequality.
Unit 4 test review
The document outlines a 11-day unit on number theory including lessons on prime and composite numbers, factors and prime factorization, greatest common factor, properties of operations, the distributive property, combining like terms, and solving equations using the distributive property. It provides learning standards, vocabulary words, and example problems for each topic as well as a unit review worksheet covering all the lessons.
Lesson 11 2 experimental probability
The document defines key terms related to experimental probability such as experiment, outcome, sample space, and experimental probability. It then provides examples of experiments with different outcomes and sample spaces. Students are asked to identify outcomes and sample spaces for given experiments. They are also asked to calculate experimental probabilities based on data from experiments involving selecting marbles from a bag, cards from a deck, and coin tosses.
Lesson 7 5 triangles
This document provides information about different types of triangles classified by their angle measures and side lengths. It defines acute, obtuse, right, scalene, isosceles, and equilateral triangles and notes that the sum of all angles in any triangle is always 180 degrees. Vocabulary terms and their definitions are included with examples.
Lesson 10 2 area
This document is a lesson on calculating area for different shapes. It provides formulas for finding the area of rectangles, parallelograms, and triangles. Examples are given of applying the formulas to find the area of various figures. The area of a parallelogram with a base of 6.5 inches and height of 4 inches is calculated to be 26 square inches. The area of a rectangular yard that is 10 feet wide and 26 feet long is calculated to be 260 square feet.
Mod 4 lesson 13
This document discusses writing division expressions without using the division symbol. It shows that division can be written as a fraction, with the dividend as the numerator and the divisor as the denominator. Examples are provided to demonstrate writing various division expressions using fractions instead of the division symbol. Exercises then have students write division expressions in two ways - using the division symbol and as a fraction.
Module 1 lesson 5 graphic organizer.
The document contains 4 word problems involving ratios. Each problem includes the ratio being compared, the question being asked, and space to show the work and answer. The problems involve comparing numbers of smartphones and flip phones, water bottles sold by two boys, report cards folded by two women, and boys and girls at a concert. The student solutions for some problems are incorrect, with spaces provided to explain the errors and show the right working.
Worksheet works theoretical_probability_1
The document contains 8 probability word problems involving rolling dice, picking marbles from jars, drawing cards, and guessing numbers. The problems calculate probabilities of outcomes such as rolling a multiple of 3 on a 19-sided die, picking a red or green marble from a jar with different colored marbles, drawing the two of clubs from a standard card deck, guessing an even number between 7 and 14, drawing a letter after L in the alphabet, rolling a 3 or 2 on an 8-sided die, and picking a marble that is neither red nor blue from a jar with different colored marbles. The document also provides an answer key with the calculation and percentage probability for each problem.
Problem set lesson 18
This document outlines a math lesson on calculating distance on the coordinate plane. It includes:
- An opening exercise asking students to calculate distances between towns on a map and identify the intersection of roads on the coordinate plane.
- Examples of calculating the distance between two points that share an x-coordinate (vertical line segment) and between two points that share a y-coordinate (horizontal line segment).
- An exercise asking students to calculate the lengths of several line segments by identifying if they are horizontal or vertical based on shared x- or y-coordinates and computing the absolute value of the differences between the coordinates.
- A closing reflection asking students about calculating lengths of non-axis line segments and real-world
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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Unit 4 test review
This document outlines a 11-day unit on number theory including lessons on prime and composite numbers, factors and prime factorization, greatest common factor, properties of operations, the distributive property, equivalent expressions, and solving expressions using the distributive property. It provides learning standards, vocabulary words, and example problems for students to practice these key number theory concepts. A unit review is also included to assess student understanding of the material covered.
Lesson 11 2 experimental probability
The document defines key terms related to experimental probability such as experiment, outcome, sample space, and experimental probability. It then provides examples of experiments with different outcomes and sample spaces. Students are asked to identify outcomes and sample spaces for given experiments. They are also asked to calculate experimental probabilities based on data from experiments involving selecting marbles from a bag, cards from a deck, and coin tosses.
Lesson 11 5 compound events
1. The document provides examples and definitions for compound probability, which involves the probability of two or more independent events occurring.
2. To calculate the probability of landing on 1 and black on a spinner and choosing a black marble, the document lists the 8 possible outcomes and identifies that there are 2 outcomes where the spinner lands on 1 and the marble is black. The probability is calculated as 2/8.
3. A tree diagram is used to calculate the probability of a coin landing on heads, a spinner landing on 3, and choosing a black marble. There are 18 total outcomes and 1 outcome that meets all 3 criteria, so the probability is 1/18.
Cricket experimental probability
The lesson plan aims to teach students about estimating probability through playing cricket games. Students will throw balls at a door with a wicket attached to try and hit it, and the probability of success will be calculated. They will also play a cricket spinning game in pairs and calculate probabilities of scoring different runs. Exam questions on probability will be given as an example of assessment.
Chapter 10 practice test
1. The document contains a practice test for a geometry chapter with 25 questions testing various geometry concepts like perimeter, area, surface area, and volume.
2. The questions cover finding the perimeter of polygons, area of rectangles, parallelograms, triangles, and composite figures, parts and circumference of circles, identifying solid figures, and calculating surface area of prisms, pyramids, and cylinders as well as volume of rectangular prisms, triangular prisms, and cylinders.
3. The document provides step-by-step work for each question showing the formulas used, values plugged in, calculations, and final answers.
Module 4 lesson 32
This document describes a math lesson on multi-step word problems involving equations. It includes examples of setting up equations to represent relationships between variables in real-world scenarios involving buying beverages, saving money each week, collecting books, and the cost of rides at a fair. Students are asked to identify independent and dependent variables, create tables and graphs modeling the equations, and write sentences describing the variable relationships. The closing asks students to check a friend's work on a taxi cab cost problem, where the friend has identified the variables incorrectly.
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 faces that are rectangles or other polygons. A pyramid has one polygon base and triangular faces that meet at a vertex. Cylinders and cones are not considered polyhedrons because their faces are circular rather than polygons.
G6 m4-d-lesson 9-t
This document provides examples and exercises for teaching students how to write mathematical expressions for addition and subtraction. It begins with examples showing how to write expressions for sums, increases, and decreases. Students then complete exercises practicing writing expressions for various addition and subtraction scenarios. The lesson emphasizes using diagrams to model expressions and understand the commutative property of addition.
Solving inequailities 1 student notes
1. The document contains a worksheet with 8 graphing inequality problems labeled 1 through 8. Each problem contains an inequality and instructions to graph it on the corresponding axis.
2. Some of the inequalities include: x < 1, m ≤ -9, 8 + n ≤ -2, n ≤ -10, 6 ≤ x, y < 6, x ≤ 16, and n > 72.
3. The worksheet provides the axes to graph each inequality and shows where to plot points corresponding to numbers in each inequality.
Unit 4 test review
The document outlines a 11-day unit on number theory including lessons on prime and composite numbers, factors and prime factorization, greatest common factor, properties of operations, the distributive property, combining like terms, and solving equations using the distributive property. It provides learning standards, vocabulary words, and example problems for each topic as well as a unit review worksheet covering all the lessons.
Lesson 11 2 experimental probability
The document defines key terms related to experimental probability such as experiment, outcome, sample space, and experimental probability. It then provides examples of experiments with different outcomes and sample spaces. Students are asked to identify outcomes and sample spaces for given experiments. They are also asked to calculate experimental probabilities based on data from experiments involving selecting marbles from a bag, cards from a deck, and coin tosses.
Lesson 7 5 triangles
This document provides information about different types of triangles classified by their angle measures and side lengths. It defines acute, obtuse, right, scalene, isosceles, and equilateral triangles and notes that the sum of all angles in any triangle is always 180 degrees. Vocabulary terms and their definitions are included with examples.
Lesson 10 2 area
This document is a lesson on calculating area for different shapes. It provides formulas for finding the area of rectangles, parallelograms, and triangles. Examples are given of applying the formulas to find the area of various figures. The area of a parallelogram with a base of 6.5 inches and height of 4 inches is calculated to be 26 square inches. The area of a rectangular yard that is 10 feet wide and 26 feet long is calculated to be 260 square feet.
Mod 4 lesson 13
This document discusses writing division expressions without using the division symbol. It shows that division can be written as a fraction, with the dividend as the numerator and the divisor as the denominator. Examples are provided to demonstrate writing various division expressions using fractions instead of the division symbol. Exercises then have students write division expressions in two ways - using the division symbol and as a fraction.
Module 1 lesson 5 graphic organizer.
The document contains 4 word problems involving ratios. Each problem includes the ratio being compared, the question being asked, and space to show the work and answer. The problems involve comparing numbers of smartphones and flip phones, water bottles sold by two boys, report cards folded by two women, and boys and girls at a concert. The student solutions for some problems are incorrect, with spaces provided to explain the errors and show the right working.
Worksheet works theoretical_probability_1
The document contains 8 probability word problems involving rolling dice, picking marbles from jars, drawing cards, and guessing numbers. The problems calculate probabilities of outcomes such as rolling a multiple of 3 on a 19-sided die, picking a red or green marble from a jar with different colored marbles, drawing the two of clubs from a standard card deck, guessing an even number between 7 and 14, drawing a letter after L in the alphabet, rolling a 3 or 2 on an 8-sided die, and picking a marble that is neither red nor blue from a jar with different colored marbles. The document also provides an answer key with the calculation and percentage probability for each problem.
Problem set lesson 18
This document outlines a math lesson on calculating distance on the coordinate plane. It includes:
- An opening exercise asking students to calculate distances between towns on a map and identify the intersection of roads on the coordinate plane.
- Examples of calculating the distance between two points that share an x-coordinate (vertical line segment) and between two points that share a y-coordinate (horizontal line segment).
- An exercise asking students to calculate the lengths of several line segments by identifying if they are horizontal or vertical based on shared x- or y-coordinates and computing the absolute value of the differences between the coordinates.
- A closing reflection asking students about calculating lengths of non-axis line segments and real-world
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