1. The document outlines a 1st quarter math plan for 8th grade students covering topics like expressions, equations, functions, and real numbers through November.
2. Students will learn skills like evaluating expressions, writing equations, representing functions as rules and graphs, adding/subtracting/multiplying real numbers, and solving one-step equations.
3. Assessments include pretests, quizzes, reviews, and chapter tests to check student understanding of the material.
Section 4 write equations and inequalitiesjslloyd23
- Gerry borrowed $2000 at a 4% simple interest rate and plans to pay it back in 2 years. To calculate the interest owed, take the principal ($2000) times the interest rate (4%) times the time (2 years).
- A whale is traveling at an average speed of 5.4 km/hr. To calculate the distance traveled in 18 hours, take the speed (5.4 km/hr) times the time (18 hours).
- Skye sells baskets for a profit of $68 each after $2.50 in expenses per basket. To calculate the price for 3 baskets, take the profit per basket ($68) plus the expenses per basket ($2.50)
The document discusses negative numbers including:
- Giving a number between two negative numbers
- Rounding negative numbers and converting negative mixed numbers to decimals
- Representing profit/loss, above/below, gain/loss situations with positive and negative numbers
- Converting feet below sea level and stock price decreases to decimals and rounding negative numbers
The document discusses 7 different types of intelligences or "smarts" that can help students study math effectively: linguistic intelligence, physical intelligence, interpersonal intelligence, spatial intelligence, logical-mathematical intelligence, musical intelligence, and intrapersonal intelligence. It provides examples of study strategies tailored to each type of intelligence, such as taking notes, using physical objects, forming study groups, drawing pictures, breaking problems into steps, singing formulas, and self-studying with rewards. Students are encouraged to try various strategies to determine their strengths and what works best for them.
The document discusses decimals, fractions, and converting between the two. It covers topics like ordering decimals and fractions, using a calculator for arithmetic, common fractions between 0 and 1, repeating decimals, examples of fractions and their parts, writing decimals as fractions, and graphing fractions on a number line.
The number is between -4 and -2 and is an integer. A second number is between 100 and 999, divisible by 8, with digits summing to 15, a product of ones and tens digits between 1 and 10, and with no repeating digits.
This document provides examples and explanations of different methods for rounding numbers, including rounding up, rounding down, and rounding to the nearest value. It discusses rounding decimals to certain decimal places as well as rounding whole numbers to the nearest ten, hundred, or thousand. Examples are given that demonstrate how to select the appropriate rounding method depending on the context and limitations, such as package sizes or weight limits. Methods include rounding currency amounts or calculations to the nearest dollar or penny in order to estimate costs.
1. The document outlines a 1st quarter math plan for 8th grade students covering topics like expressions, equations, functions, and real numbers through November.
2. Students will learn skills like evaluating expressions, writing equations, representing functions as rules and graphs, adding/subtracting/multiplying real numbers, and solving one-step equations.
3. Assessments include pretests, quizzes, reviews, and chapter tests to check student understanding of the material.
Section 4 write equations and inequalitiesjslloyd23
- Gerry borrowed $2000 at a 4% simple interest rate and plans to pay it back in 2 years. To calculate the interest owed, take the principal ($2000) times the interest rate (4%) times the time (2 years).
- A whale is traveling at an average speed of 5.4 km/hr. To calculate the distance traveled in 18 hours, take the speed (5.4 km/hr) times the time (18 hours).
- Skye sells baskets for a profit of $68 each after $2.50 in expenses per basket. To calculate the price for 3 baskets, take the profit per basket ($68) plus the expenses per basket ($2.50)
The document discusses negative numbers including:
- Giving a number between two negative numbers
- Rounding negative numbers and converting negative mixed numbers to decimals
- Representing profit/loss, above/below, gain/loss situations with positive and negative numbers
- Converting feet below sea level and stock price decreases to decimals and rounding negative numbers
The document discusses 7 different types of intelligences or "smarts" that can help students study math effectively: linguistic intelligence, physical intelligence, interpersonal intelligence, spatial intelligence, logical-mathematical intelligence, musical intelligence, and intrapersonal intelligence. It provides examples of study strategies tailored to each type of intelligence, such as taking notes, using physical objects, forming study groups, drawing pictures, breaking problems into steps, singing formulas, and self-studying with rewards. Students are encouraged to try various strategies to determine their strengths and what works best for them.
The document discusses decimals, fractions, and converting between the two. It covers topics like ordering decimals and fractions, using a calculator for arithmetic, common fractions between 0 and 1, repeating decimals, examples of fractions and their parts, writing decimals as fractions, and graphing fractions on a number line.
The number is between -4 and -2 and is an integer. A second number is between 100 and 999, divisible by 8, with digits summing to 15, a product of ones and tens digits between 1 and 10, and with no repeating digits.
This document provides examples and explanations of different methods for rounding numbers, including rounding up, rounding down, and rounding to the nearest value. It discusses rounding decimals to certain decimal places as well as rounding whole numbers to the nearest ten, hundred, or thousand. Examples are given that demonstrate how to select the appropriate rounding method depending on the context and limitations, such as package sizes or weight limits. Methods include rounding currency amounts or calculations to the nearest dollar or penny in order to estimate costs.
The document provides an introduction to decimal notation and discusses:
- Different numbering systems used by various cultures including Roman, Greek, Chinese, and Hindu-Arabic numerals.
- The development of the decimal system we use today, which started with the Mayans in 300 BC and took its current form with 10 digits (0-9) in 1522 AD.
- Key aspects of decimal notation including writing whole numbers with 1, 2, or 3 digits, and identifying the value of digits based on their place within a number.
- Examples of converting between decimal notation and writing out numbers in English.
Each x value must relate to only one y value for a relation to be a function. For example, if each apple (x value) grows on only one tree (y value), then the relation between apples and trees is a function. A function relates each input to a single output.
This document contains mathematical symbols - x, k, b - that are assigned numeric values as part of an equation. It also contains plus, minus and x symbols but does not provide their meaning in words.
The expressions in Example 2 are different operations than Example 1. In part c of the second example, 52 is added to 5 first before performing other calculations because order of operations dictates that addition and subtraction are performed before multiplication and division.
The document appears to be asking if someone can complete a pretest for Chapter 1 now. It provides no other context or details about the subject matter of the pretest. The short document simply references a "Chapter 1 Pretest" without any other identifying information.
The document discusses 7 different types of intelligences or "smarts" that can help students study math effectively: linguistic intelligence, physical intelligence, interpersonal intelligence, spatial intelligence, logical-mathematical intelligence, musical intelligence, and intrapersonal intelligence. It provides examples of study strategies tailored to each type of intelligence, such as taking notes, using physical objects, forming study groups, drawing pictures, breaking problems into steps, singing formulas, and self-studying with rewards. Students are encouraged to try various strategies to determine their strengths and what works best for them.
This document discusses comparing numbers using less than (<) and greater than (>) symbols. It provides examples of comparing positive and negative numbers, fractions, temperatures, lengths, and percentages. The key points are that the < symbol points to the smaller number, the alligator eats the bigger number, numbers on a number line are compared by writing them in order using < signs, and the absolute value or magnitude of a number should be compared when dealing with positive and negative numbers.
The document discusses the importance of math skills and provides strategies for studying math effectively. It notes that by 8th grade, U.S. students are two years behind peers in other countries in math topics. Nearly every career utilizes math in some way. The document then describes seven different learning styles ("smarts") and provides study strategies tailored to each style, such as singing songs about formulas for musical smarts or drawing pictures for spatial smarts. It encourages trying different strategies to determine the most effective approach.
1 2 decimals for numbers between whole numbers 9-10-10jslloyd23
This document provides an overview of decimals between whole numbers including:
1) Translating between English and decimal representations and ordering decimals.
2) Measuring track times to hundredths of a second such as 10.64 seconds.
3) Dividing intervals into smaller equal parts to increase accuracy of measurements.
The document shows 16 toothpicks arranged in 5 squares. It asks the reader to move just 3 toothpicks to rearrange the 16 toothpicks into 4 congruent squares instead of the original 5 squares.
1. The document provides examples and practice problems involving functions. It includes:
2. Questions about identifying input and output variables in functions presented in tables. It also asks to determine if pairings are functions.
3. Practice writing rules for functions given tables of ordered pairs and identifying domains and ranges.
4. Word problems involving writing rules for functions based on real world scenarios and identifying independent and dependent variables.
The document discusses negative numbers including:
- Giving a number between two negative numbers
- Rounding negative numbers and converting negative mixed numbers to decimals
- Representing real-world situations like golf scores, time before/after an event, ocean depths, stock prices with positive and negative numbers
- Definitions of negative numbers as using a minus sign to indicate the opposite of a number, and integers as whole numbers and their opposites
This document is a welcome letter from a 7th grade math teacher. It introduces the teacher, outlines the curriculum for the year including decimals, fractions, algebra, geometry and problem solving. It provides details on classroom resources like the class website and blog for questions. The letter also outlines classroom policies for homework, grading, attendance and expectations for student behavior. Contact information is provided for parents to communicate with the teacher throughout the year.
The document describes a dilemma about arranging seating for a birthday party. No matter if the guests were split into 2, 3, 4, or 5 tables, there would always be 1 person left out. It was only when the guests were split across 7 tables that no one was left out. Through trial and error and using divisibility rules, the number of guests that were invited was determined to be 49 people.
1. The difference of a number c and 17 is more than 33.
2. The product of 3 and a number x is at most 21.
3. The sum of 14 and twice a number y is equal to 78.
1. The document contains 16 practice problems involving graphing functions from tables, writing rules, and interpreting graphs.
2. Many of the problems involve graphing linear and quadratic functions based on ordered pairs or tables of x- and y-values.
3. Several problems ask students to analyze how the y-value changes in relation to the x-value based on real-world contexts like high temperatures over a week or threads per inch on screws of different sizes.
The document contains information about various rates and conversions including driving 180 km in a car over 3 hours, earning $48 for 4 days of babysitting, typing 1575 words in 25 minutes, a jeep traveling 230 miles using 10 gallons of gas, getting paid $99 for 3 days of house painting, and earning $56 for 4 days of lawn mowing. The final item notes going 148 miles in a new car using 4 gallons of gas.
The document provides examples of writing expressions from phrases and word problems. It contains 23 examples of writing expressions from phrases involving variables and numbers, as well as two word problems about cookies and spider legs that need to be written as expressions. The expressions range from simple translations of phrases involving addition, subtraction, multiplication and exponents, to more complex expressions derived from rate, quotient and multi-step word problems.
This document provides a multi-step math word problem worksheet for students. It contains 21 math problems in order of operations formatted as a grid for students to show their work and solutions. Students are asked to color in the square containing the answer for each problem and identify the letter or shape formed by the pattern of answers.
The document provides instructions on using the order of operations PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) to evaluate numerical expressions. It gives examples of solving expressions step-by-step using PEMDAS. Students are then given 10 practice problems and instructed to use PEMDAS and a calculator, if available, to find the value of each expression.
The teacher introduces herself and outlines the curriculum for the 8th grade math class, including algebraic, geometric, and probability/statistics concepts. She provides details on classroom resources like the class website and expectations for homework, grading, supplies, attendance and communication. The teacher emphasizes high expectations for student success and open communication between her and parents throughout the year.
The document outlines the math curriculum for 8th grade students from January 26 to April 1. It covers topics in probability, statistics, and geometry. Key concepts include finding probabilities using permutations and combinations, analyzing surveys and samples, interpreting different types of graphs like histograms and box-and-whisker plots, and applying the Pythagorean theorem. Students will learn these topics through lessons, activities, assessments, and reviewing concepts in preparation for the PSSA exam.
The document provides an introduction to decimal notation and discusses:
- Different numbering systems used by various cultures including Roman, Greek, Chinese, and Hindu-Arabic numerals.
- The development of the decimal system we use today, which started with the Mayans in 300 BC and took its current form with 10 digits (0-9) in 1522 AD.
- Key aspects of decimal notation including writing whole numbers with 1, 2, or 3 digits, and identifying the value of digits based on their place within a number.
- Examples of converting between decimal notation and writing out numbers in English.
Each x value must relate to only one y value for a relation to be a function. For example, if each apple (x value) grows on only one tree (y value), then the relation between apples and trees is a function. A function relates each input to a single output.
This document contains mathematical symbols - x, k, b - that are assigned numeric values as part of an equation. It also contains plus, minus and x symbols but does not provide their meaning in words.
The expressions in Example 2 are different operations than Example 1. In part c of the second example, 52 is added to 5 first before performing other calculations because order of operations dictates that addition and subtraction are performed before multiplication and division.
The document appears to be asking if someone can complete a pretest for Chapter 1 now. It provides no other context or details about the subject matter of the pretest. The short document simply references a "Chapter 1 Pretest" without any other identifying information.
The document discusses 7 different types of intelligences or "smarts" that can help students study math effectively: linguistic intelligence, physical intelligence, interpersonal intelligence, spatial intelligence, logical-mathematical intelligence, musical intelligence, and intrapersonal intelligence. It provides examples of study strategies tailored to each type of intelligence, such as taking notes, using physical objects, forming study groups, drawing pictures, breaking problems into steps, singing formulas, and self-studying with rewards. Students are encouraged to try various strategies to determine their strengths and what works best for them.
This document discusses comparing numbers using less than (<) and greater than (>) symbols. It provides examples of comparing positive and negative numbers, fractions, temperatures, lengths, and percentages. The key points are that the < symbol points to the smaller number, the alligator eats the bigger number, numbers on a number line are compared by writing them in order using < signs, and the absolute value or magnitude of a number should be compared when dealing with positive and negative numbers.
The document discusses the importance of math skills and provides strategies for studying math effectively. It notes that by 8th grade, U.S. students are two years behind peers in other countries in math topics. Nearly every career utilizes math in some way. The document then describes seven different learning styles ("smarts") and provides study strategies tailored to each style, such as singing songs about formulas for musical smarts or drawing pictures for spatial smarts. It encourages trying different strategies to determine the most effective approach.
1 2 decimals for numbers between whole numbers 9-10-10jslloyd23
This document provides an overview of decimals between whole numbers including:
1) Translating between English and decimal representations and ordering decimals.
2) Measuring track times to hundredths of a second such as 10.64 seconds.
3) Dividing intervals into smaller equal parts to increase accuracy of measurements.
The document shows 16 toothpicks arranged in 5 squares. It asks the reader to move just 3 toothpicks to rearrange the 16 toothpicks into 4 congruent squares instead of the original 5 squares.
1. The document provides examples and practice problems involving functions. It includes:
2. Questions about identifying input and output variables in functions presented in tables. It also asks to determine if pairings are functions.
3. Practice writing rules for functions given tables of ordered pairs and identifying domains and ranges.
4. Word problems involving writing rules for functions based on real world scenarios and identifying independent and dependent variables.
The document discusses negative numbers including:
- Giving a number between two negative numbers
- Rounding negative numbers and converting negative mixed numbers to decimals
- Representing real-world situations like golf scores, time before/after an event, ocean depths, stock prices with positive and negative numbers
- Definitions of negative numbers as using a minus sign to indicate the opposite of a number, and integers as whole numbers and their opposites
This document is a welcome letter from a 7th grade math teacher. It introduces the teacher, outlines the curriculum for the year including decimals, fractions, algebra, geometry and problem solving. It provides details on classroom resources like the class website and blog for questions. The letter also outlines classroom policies for homework, grading, attendance and expectations for student behavior. Contact information is provided for parents to communicate with the teacher throughout the year.
The document describes a dilemma about arranging seating for a birthday party. No matter if the guests were split into 2, 3, 4, or 5 tables, there would always be 1 person left out. It was only when the guests were split across 7 tables that no one was left out. Through trial and error and using divisibility rules, the number of guests that were invited was determined to be 49 people.
1. The difference of a number c and 17 is more than 33.
2. The product of 3 and a number x is at most 21.
3. The sum of 14 and twice a number y is equal to 78.
1. The document contains 16 practice problems involving graphing functions from tables, writing rules, and interpreting graphs.
2. Many of the problems involve graphing linear and quadratic functions based on ordered pairs or tables of x- and y-values.
3. Several problems ask students to analyze how the y-value changes in relation to the x-value based on real-world contexts like high temperatures over a week or threads per inch on screws of different sizes.
The document contains information about various rates and conversions including driving 180 km in a car over 3 hours, earning $48 for 4 days of babysitting, typing 1575 words in 25 minutes, a jeep traveling 230 miles using 10 gallons of gas, getting paid $99 for 3 days of house painting, and earning $56 for 4 days of lawn mowing. The final item notes going 148 miles in a new car using 4 gallons of gas.
The document provides examples of writing expressions from phrases and word problems. It contains 23 examples of writing expressions from phrases involving variables and numbers, as well as two word problems about cookies and spider legs that need to be written as expressions. The expressions range from simple translations of phrases involving addition, subtraction, multiplication and exponents, to more complex expressions derived from rate, quotient and multi-step word problems.
This document provides a multi-step math word problem worksheet for students. It contains 21 math problems in order of operations formatted as a grid for students to show their work and solutions. Students are asked to color in the square containing the answer for each problem and identify the letter or shape formed by the pattern of answers.
The document provides instructions on using the order of operations PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) to evaluate numerical expressions. It gives examples of solving expressions step-by-step using PEMDAS. Students are then given 10 practice problems and instructed to use PEMDAS and a calculator, if available, to find the value of each expression.
The teacher introduces herself and outlines the curriculum for the 8th grade math class, including algebraic, geometric, and probability/statistics concepts. She provides details on classroom resources like the class website and expectations for homework, grading, supplies, attendance and communication. The teacher emphasizes high expectations for student success and open communication between her and parents throughout the year.
The document outlines the math curriculum for 8th grade students from January 26 to April 1. It covers topics in probability, statistics, and geometry. Key concepts include finding probabilities using permutations and combinations, analyzing surveys and samples, interpreting different types of graphs like histograms and box-and-whisker plots, and applying the Pythagorean theorem. Students will learn these topics through lessons, activities, assessments, and reviewing concepts in preparation for the PSSA exam.
This document outlines a 2nd quarter math plan for 8th grade students covering topics in equations, ratios/proportions, percents, graphing linear equations, and collecting/analyzing data. It includes objectives, standards, and assessments for each of the multi-day topics from November through January. Key concepts include solving one-step, two-step, and multi-step equations; writing and solving proportions; graphing linear equations using various methods; finding slope and using slope-intercept form; and performing linear regression and making predictions from data.