This document contains a review of Module 4 lessons for Mrs. Labuski and Mrs. Portsmore's math class. It includes 29 lessons covering writing and evaluating expressions using addition, subtraction, multiplication, division and exponents, solving one-step and two-step equations, and writing expressions to represent word problems. Students are asked to complete expression and equation evaluations, write expressions to match word problems, and solve one-step and multi-step equations algebraically and using tape diagrams.
Lesson 16 provides examples and exercises for writing algebraic expressions that represent word problems. Students are asked to underline key terms in word problems and then write corresponding algebraic expressions using letters to represent unknown numbers. The lesson models this process with examples like writing an expression for the total amount of money Marcus has if Yaseen has d dollars. Students then complete similar exercises on their own, such as writing an expression for the number of yards Sheylin swam given the number Yohanna swam. The lesson emphasizes identifying operations from key words before writing the algebraic expression.
This document contains a lesson on substituting values into addition and subtraction expressions to evaluate them. It includes examples of setting up tables to represent relationships between variables like ages of siblings or amounts collected. Students are asked to extend the tables by determining expressions that define the pattern and then substituting values to find missing data points. Exercises provide additional word problems to set up tables or expressions and evaluate them by substitution.
This document describes a math lesson that teaches students to:
1) Develop expressions involving addition and subtraction from word problems by identifying relationships between quantities.
2) Evaluate these expressions by substituting values. The lesson uses data tables to help students organize information and see patterns. It provides examples of writing expressions when the values in the tables are represented by variables.
Here is a draft letter from Draggy: 10. The cat ____ on the mat.
Dear Friend,
I am Draggy. I am a good dragon. My brother is Plog.
He is six. Dotty is my sister. She is ten. They are funny.
We are best friends. Dotty and I are pupils. You are a pupil too.
Sincerely,
Draggy
My English Book - Kinder
MEB is the English book for pre-school which introduces basic linguistic terms.
•Activities are designed to motivate pre-schoolers to express themselves using short, simple sentences
•There will be songs, rhymes, poems and stories for children
The document is a daily lesson log for a 5th grade math class that covers factors, multiples, divisibility rules, and order of operations over five days. It includes the content and performance standards as well as learning competencies and objectives for the week. Each day's lesson plans involve reviewing concepts through drills and examples, practicing skills through group and individual activities, and applying the concepts to word problems. The lessons aim to help students develop mastery of these mathematical concepts.
This document contains information about an English workbook for students in Chile, including:
- Details about the authors and their qualifications.
- A table of contents listing 8 units that cover topics like greetings, family, toys, animals, school, weather, and hygiene.
- An introduction to the workbook explaining that it will help students learn English through activities and a character named Benny Bounce.
- Sample activities from Unit 1 on greetings and family including songs, vocabulary practice, and exercises identifying family members.
- The document discusses ratios and equivalent ratios. It explains that two ratios are equivalent if they have the same value, where the value of a ratio is the quotient of the two terms.
- Students work through examples to understand that the values of equivalent ratios are always equal. They also try unsuccessfully to provide counter-examples to the theorem that if two ratios are equivalent, they have the same value.
- An example problem asks students to use the value of a ratio to determine if ratios describing a student's training are equivalent or not.
Lesson 16 provides examples and exercises for writing algebraic expressions that represent word problems. Students are asked to underline key terms in word problems and then write corresponding algebraic expressions using letters to represent unknown numbers. The lesson models this process with examples like writing an expression for the total amount of money Marcus has if Yaseen has d dollars. Students then complete similar exercises on their own, such as writing an expression for the number of yards Sheylin swam given the number Yohanna swam. The lesson emphasizes identifying operations from key words before writing the algebraic expression.
This document contains a lesson on substituting values into addition and subtraction expressions to evaluate them. It includes examples of setting up tables to represent relationships between variables like ages of siblings or amounts collected. Students are asked to extend the tables by determining expressions that define the pattern and then substituting values to find missing data points. Exercises provide additional word problems to set up tables or expressions and evaluate them by substitution.
This document describes a math lesson that teaches students to:
1) Develop expressions involving addition and subtraction from word problems by identifying relationships between quantities.
2) Evaluate these expressions by substituting values. The lesson uses data tables to help students organize information and see patterns. It provides examples of writing expressions when the values in the tables are represented by variables.
Here is a draft letter from Draggy: 10. The cat ____ on the mat.
Dear Friend,
I am Draggy. I am a good dragon. My brother is Plog.
He is six. Dotty is my sister. She is ten. They are funny.
We are best friends. Dotty and I are pupils. You are a pupil too.
Sincerely,
Draggy
My English Book - Kinder
MEB is the English book for pre-school which introduces basic linguistic terms.
•Activities are designed to motivate pre-schoolers to express themselves using short, simple sentences
•There will be songs, rhymes, poems and stories for children
The document is a daily lesson log for a 5th grade math class that covers factors, multiples, divisibility rules, and order of operations over five days. It includes the content and performance standards as well as learning competencies and objectives for the week. Each day's lesson plans involve reviewing concepts through drills and examples, practicing skills through group and individual activities, and applying the concepts to word problems. The lessons aim to help students develop mastery of these mathematical concepts.
This document contains information about an English workbook for students in Chile, including:
- Details about the authors and their qualifications.
- A table of contents listing 8 units that cover topics like greetings, family, toys, animals, school, weather, and hygiene.
- An introduction to the workbook explaining that it will help students learn English through activities and a character named Benny Bounce.
- Sample activities from Unit 1 on greetings and family including songs, vocabulary practice, and exercises identifying family members.
- The document discusses ratios and equivalent ratios. It explains that two ratios are equivalent if they have the same value, where the value of a ratio is the quotient of the two terms.
- Students work through examples to understand that the values of equivalent ratios are always equal. They also try unsuccessfully to provide counter-examples to the theorem that if two ratios are equivalent, they have the same value.
- An example problem asks students to use the value of a ratio to determine if ratios describing a student's training are equivalent or not.
1. The document contains a quiz reviewing ratios and proportional relationships with 12 multiple choice and short answer questions.
2. Questions cover writing and identifying ratios from descriptions, using tape diagrams to represent equivalent ratios, solving ratio problems by finding equivalent ratios, and determining if ratios are equivalent based on their values.
3. The student provided responses to each question demonstrating their understanding of ratios, proportional reasoning, and setting up and solving ratio problems.
Very good Cris, you divided 372 into 372-60=312 and 312/20=16 crates. Well done!
Cr: Thank you!
R: Well done Cris, you found the right way! Who else wants to try?
M: I will try Miss. 372 kilos. Every crate holds 20 kilos. I will divide 372 by 20. The result is 18 with a remainder of 12. So the crates needed are 19.
R: Excellent Maria! You used the standard algorithm of division. I am proud of you all for finding different ways to solve this problem. You showed your understanding through drawings, repeated addition and the standard algorithm. Well done students
This document provides a lesson on solving ratio problems by finding equivalent ratios. It includes an example problem using tape diagrams to model ratios before and after a change. Students then work in groups on multiple practice problems involving ratios that change between situations. The lesson emphasizes drawing separate tape diagrams to visualize the ratios and quantities before and after a change occurs.
Esl worksheets and activities for kids by pitts miryung. (z lib.org)MariGiopato
This document provides instructions and worksheets for ESL students on various topics including shapes, numbers, family, time, months, days, weather, prepositions, money, and animals. There are 3-4 worksheets for each topic area with exercises for students to practice relevant vocabulary, spelling, writing sentences, and more. Examples of activities include labeling family trees, writing the days of the week, describing weather, and matching pictures to prepositions. Cut-out activities and a mini-book template are also included at the back for additional interactive exercises.
The document contains a variety of prompts and activities for students, including: drawing pictures, writing descriptions, making words from letters, math problems, writing captions for pictures, and arguing for or against statements. The prompts cover topics like space, football, Victorians, and more. Students are encouraged to be creative and use descriptive language.
This document describes a lesson on solving ratio problems by finding equivalent ratios. It includes examples of ratio problems with quantities that change from a "before" ratio to an "after" ratio. It instructs students to draw tape diagrams to represent the "before" and "after" ratios to solve such problems. Sample ratio problems involve topics like hotel room occupancy, exercise routines, money amounts, orders of sporting goods, class enrollments and more. The document provides exercises and a problem set for students to practice these skills.
This document provides learning activities and materials for home learning during week 6. It includes:
- A spelling test with 10 words and information on phonics work involving suffixes
- Sentence unscrambling and reading comprehension exercises
- Daily maths activities involving topics like doubling, sequences, fractions
- Suggestions for writing sentences and fact files about local animals
- A multiplication game using snakes and ladders
- A science challenge to make a junk model insect
- Materials for a Covid-19 time capsule project
1. The document provides word problems and diagrams for Mrs. Labuski to use in planning her neighborhood Halloween party. It includes equations to solve pumpkin pricing, candy apple production, and skeleton bone counting problems. It also includes tape diagrams and graphs to solve ratio problems about Halloween candy purchases and expected trick-or-treaters.
2. One tape diagram shows that if Mrs. Labuski buys 6 more bags of chocolate candy than fruit candy, she will buy 9 bags of fruit candy and 15 bags of chocolate candy. Another tape diagram uses a ratio to determine that if there were 96 children at a party on a Friday afternoon, there would be 120 adults that evening.
3. A double number line diagram
This document outlines a mathematics teaching plan that focuses on:
1. Developing different types of mathematical knowledge and connecting content to students' lives.
2. Ensuring teaching content is diverse, complete, and inclusive of all perspectives.
3. Guiding students from introductory to thorough understanding of concepts.
4. Analyzing subject matter, concepts, and giving tasks to assess student comprehension.
The plan emphasizes understanding students and relating content to their experiences to improve learning mathematics. It also stresses teaching content that is representative of all voices and viewpoints.
The document provides a mid-module review for algebra that includes 14 problems. The problems cover topics such as writing expressions to represent word problems, expanding expressions using the distributive property, finding equivalent expressions, and modeling algebraic expressions visually. Students are expected to show their work, use proper notation, and provide unit labels where appropriate to receive full credit.
This document is a review worksheet for Module 3 of a math class. It contains true/false, multiple choice, and short answer questions about rational numbers, integers, and their ordering on number lines. Some questions ask students to represent real world situations using integers, order numbers, write inequalities, and identify properties of absolute value. The last few questions ask students to explain differences between ordering numbers and their absolute values.
This document contains a review sheet for a math final exam. It includes multiple choice and short answer questions covering topics like geometry, algebra, ratios, and word problems. It also provides the answers to the multiple choice section. The short answer questions require showing work and include problems finding areas, writing equations, comparing ratios, and solving word problems involving money.
This document provides examples and problems for students to practice writing and evaluating expressions involving multiplication and addition. It includes examples of writing expressions to calculate total costs given prices and quantities of items like pizzas and CDs. Students are asked to write expressions for situations like the height of growing corn plants over time and the number of people on a fishing boat based on the number of couples booked. They are also asked to evaluate these expressions for given values and solve problems like how many weeks it will take for a student to reach a reading goal or how many couples can fit on a fishing boat that holds 20 people.
This document provides examples and exercises for students to practice writing and evaluating expressions involving multiplication and division. It contains word problems about topics like selling bags of apples at a farmers market, refund amounts for returning cans, costs of subway or bus rides, the number of cycles a pendulum makes over time, and earnings from jobs that pay a fixed rate per item or hour. Students are asked to write expressions in terms of variables that represent quantities in the problems and then evaluate the expressions for given values.
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.
Positive numbers are greater than zero, while negative numbers are less than zero. Opposites are integers that are equidistant from zero but on opposite sides. Integers are the set of all whole numbers and their opposites. The absolute value of an integer is its distance from zero on the number line, regardless of its positive or negative value.
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 step-by-step of adding, subtracting, multiplying, and dividing integers. The document is to be completed as an assignment by a student for practice with integer operations.
This document provides an overview of Lesson 20, which teaches students how to write and evaluate expressions involving multiplication and division based on real-world problems. The lesson uses examples of buying bags of apples at a farmers' market and returning cans for deposits to demonstrate how to construct tables relating quantities and write expressions using variables. Students practice evaluating expressions for given values and using division to determine an unknown quantity when the other quantities are given. The lesson reinforces that multiplication is used when relating the number of a quantity to the total, while division is used when relating the total to the number of a quantity.
This document contains a lesson on subtracting integers. It provides instructions on how to subtract integers using a number line by moving left to subtract a positive integer and right to subtract a negative integer. It then lists 18 practice problems for students to solve by subtracting integers based on these instructions.
This document contains a lesson on evaluating addition and subtraction expressions by substituting values. The lesson includes examples of writing expressions to describe relationships between ages in word problems and evaluating those expressions. Students practice developing expressions, substituting values, and calculating results. The lesson aims to help students understand how to write expressions from real-world contexts and evaluate them by substituting given values.
This document provides an overview of Lesson 19 which teaches students how to substitute values into addition and subtraction expressions to evaluate them. The lesson begins with students filling in data tables to identify patterns and relationships between values. Students then use variables to represent unknown values and write expressions that describe relationships in the tables. Examples show how to determine values when only part of the expression is known. Students practice evaluating expressions for story problems involving boxes collected, paper recycled, and ages of siblings. The goal is for students to understand how expressions relate quantities and be able to determine unknown values based on relationships expressed in the tables.
1. The document contains a quiz reviewing ratios and proportional relationships with 12 multiple choice and short answer questions.
2. Questions cover writing and identifying ratios from descriptions, using tape diagrams to represent equivalent ratios, solving ratio problems by finding equivalent ratios, and determining if ratios are equivalent based on their values.
3. The student provided responses to each question demonstrating their understanding of ratios, proportional reasoning, and setting up and solving ratio problems.
Very good Cris, you divided 372 into 372-60=312 and 312/20=16 crates. Well done!
Cr: Thank you!
R: Well done Cris, you found the right way! Who else wants to try?
M: I will try Miss. 372 kilos. Every crate holds 20 kilos. I will divide 372 by 20. The result is 18 with a remainder of 12. So the crates needed are 19.
R: Excellent Maria! You used the standard algorithm of division. I am proud of you all for finding different ways to solve this problem. You showed your understanding through drawings, repeated addition and the standard algorithm. Well done students
This document provides a lesson on solving ratio problems by finding equivalent ratios. It includes an example problem using tape diagrams to model ratios before and after a change. Students then work in groups on multiple practice problems involving ratios that change between situations. The lesson emphasizes drawing separate tape diagrams to visualize the ratios and quantities before and after a change occurs.
Esl worksheets and activities for kids by pitts miryung. (z lib.org)MariGiopato
This document provides instructions and worksheets for ESL students on various topics including shapes, numbers, family, time, months, days, weather, prepositions, money, and animals. There are 3-4 worksheets for each topic area with exercises for students to practice relevant vocabulary, spelling, writing sentences, and more. Examples of activities include labeling family trees, writing the days of the week, describing weather, and matching pictures to prepositions. Cut-out activities and a mini-book template are also included at the back for additional interactive exercises.
The document contains a variety of prompts and activities for students, including: drawing pictures, writing descriptions, making words from letters, math problems, writing captions for pictures, and arguing for or against statements. The prompts cover topics like space, football, Victorians, and more. Students are encouraged to be creative and use descriptive language.
This document describes a lesson on solving ratio problems by finding equivalent ratios. It includes examples of ratio problems with quantities that change from a "before" ratio to an "after" ratio. It instructs students to draw tape diagrams to represent the "before" and "after" ratios to solve such problems. Sample ratio problems involve topics like hotel room occupancy, exercise routines, money amounts, orders of sporting goods, class enrollments and more. The document provides exercises and a problem set for students to practice these skills.
This document provides learning activities and materials for home learning during week 6. It includes:
- A spelling test with 10 words and information on phonics work involving suffixes
- Sentence unscrambling and reading comprehension exercises
- Daily maths activities involving topics like doubling, sequences, fractions
- Suggestions for writing sentences and fact files about local animals
- A multiplication game using snakes and ladders
- A science challenge to make a junk model insect
- Materials for a Covid-19 time capsule project
1. The document provides word problems and diagrams for Mrs. Labuski to use in planning her neighborhood Halloween party. It includes equations to solve pumpkin pricing, candy apple production, and skeleton bone counting problems. It also includes tape diagrams and graphs to solve ratio problems about Halloween candy purchases and expected trick-or-treaters.
2. One tape diagram shows that if Mrs. Labuski buys 6 more bags of chocolate candy than fruit candy, she will buy 9 bags of fruit candy and 15 bags of chocolate candy. Another tape diagram uses a ratio to determine that if there were 96 children at a party on a Friday afternoon, there would be 120 adults that evening.
3. A double number line diagram
This document outlines a mathematics teaching plan that focuses on:
1. Developing different types of mathematical knowledge and connecting content to students' lives.
2. Ensuring teaching content is diverse, complete, and inclusive of all perspectives.
3. Guiding students from introductory to thorough understanding of concepts.
4. Analyzing subject matter, concepts, and giving tasks to assess student comprehension.
The plan emphasizes understanding students and relating content to their experiences to improve learning mathematics. It also stresses teaching content that is representative of all voices and viewpoints.
The document provides a mid-module review for algebra that includes 14 problems. The problems cover topics such as writing expressions to represent word problems, expanding expressions using the distributive property, finding equivalent expressions, and modeling algebraic expressions visually. Students are expected to show their work, use proper notation, and provide unit labels where appropriate to receive full credit.
This document is a review worksheet for Module 3 of a math class. It contains true/false, multiple choice, and short answer questions about rational numbers, integers, and their ordering on number lines. Some questions ask students to represent real world situations using integers, order numbers, write inequalities, and identify properties of absolute value. The last few questions ask students to explain differences between ordering numbers and their absolute values.
This document contains a review sheet for a math final exam. It includes multiple choice and short answer questions covering topics like geometry, algebra, ratios, and word problems. It also provides the answers to the multiple choice section. The short answer questions require showing work and include problems finding areas, writing equations, comparing ratios, and solving word problems involving money.
This document provides examples and problems for students to practice writing and evaluating expressions involving multiplication and addition. It includes examples of writing expressions to calculate total costs given prices and quantities of items like pizzas and CDs. Students are asked to write expressions for situations like the height of growing corn plants over time and the number of people on a fishing boat based on the number of couples booked. They are also asked to evaluate these expressions for given values and solve problems like how many weeks it will take for a student to reach a reading goal or how many couples can fit on a fishing boat that holds 20 people.
This document provides examples and exercises for students to practice writing and evaluating expressions involving multiplication and division. It contains word problems about topics like selling bags of apples at a farmers market, refund amounts for returning cans, costs of subway or bus rides, the number of cycles a pendulum makes over time, and earnings from jobs that pay a fixed rate per item or hour. Students are asked to write expressions in terms of variables that represent quantities in the problems and then evaluate the expressions for given values.
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.
Positive numbers are greater than zero, while negative numbers are less than zero. Opposites are integers that are equidistant from zero but on opposite sides. Integers are the set of all whole numbers and their opposites. The absolute value of an integer is its distance from zero on the number line, regardless of its positive or negative value.
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 step-by-step of adding, subtracting, multiplying, and dividing integers. The document is to be completed as an assignment by a student for practice with integer operations.
This document provides an overview of Lesson 20, which teaches students how to write and evaluate expressions involving multiplication and division based on real-world problems. The lesson uses examples of buying bags of apples at a farmers' market and returning cans for deposits to demonstrate how to construct tables relating quantities and write expressions using variables. Students practice evaluating expressions for given values and using division to determine an unknown quantity when the other quantities are given. The lesson reinforces that multiplication is used when relating the number of a quantity to the total, while division is used when relating the total to the number of a quantity.
This document contains a lesson on subtracting integers. It provides instructions on how to subtract integers using a number line by moving left to subtract a positive integer and right to subtract a negative integer. It then lists 18 practice problems for students to solve by subtracting integers based on these instructions.
This document contains a lesson on evaluating addition and subtraction expressions by substituting values. The lesson includes examples of writing expressions to describe relationships between ages in word problems and evaluating those expressions. Students practice developing expressions, substituting values, and calculating results. The lesson aims to help students understand how to write expressions from real-world contexts and evaluate them by substituting given values.
This document provides an overview of Lesson 19 which teaches students how to substitute values into addition and subtraction expressions to evaluate them. The lesson begins with students filling in data tables to identify patterns and relationships between values. Students then use variables to represent unknown values and write expressions that describe relationships in the tables. Examples show how to determine values when only part of the expression is known. Students practice evaluating expressions for story problems involving boxes collected, paper recycled, and ages of siblings. The goal is for students to understand how expressions relate quantities and be able to determine unknown values based on relationships expressed in the tables.
This document contains a multi-part math worksheet involving integers, number lines, coordinate planes, and geometry. Students are asked to represent word problems with integers, find opposites, solve equations, order numbers, find distances and depths, graph points and shapes, and determine lengths and areas. The problems progress from basic integer operations to more advanced concepts involving coordinates, distances, and geometric shapes.
1) The document is a review worksheet containing geometry problems involving finding missing side lengths of shapes, identifying triangle altitudes, calculating areas of basic and compound shapes using formulas, and word problems about covering deck areas with pavers.
2) Students are asked to find missing side lengths, draw altitudes of triangles, calculate areas of rectangles, triangles, and compound shapes using appropriate formulas, and solve a word problem about the number of paver boxes needed and cost to cover a deck area.
3) The final problem involves calculating the total area of a deck around a pool, subtracting the pool area, and determining how many boxes of pavers at a given cost are needed to cover the remaining deck area.
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.
This document contains a multi-part math exam review with multiple choice and short answer questions. It provides practice problems covering topics like geometry, ratios, equations, expressions, and word problems. The review is designed to help students prepare for their math final exam.
This document contains a review sheet for a math final exam. It includes two parts - a multiple choice section with 37 questions covering various math concepts, and a short answer section with 7 word problems requiring calculations and explanations. The review sheet provides the questions, space to write answers, and an answer key in the back to check work.
This lesson teaches students how to write algebraic expressions that represent word problems and statements involving letters that stand for unknown numbers. The lesson begins with an opening exercise where students underline key math terms in statements and write the corresponding algebraic expressions. Examples are then provided where the teacher models writing expressions from worded statements by identifying operations. Students then practice writing expressions for real-world scenarios. The lesson concludes with students independently writing expressions for additional statements and checking their understanding.
This document contains a daily lesson log for a 5th grade mathematics class. The objectives are for students to understand ratios, equivalent ratios, and the four fundamental operations involving ratios and proportions. On the days logged, the teacher planned to review identifying equivalent ratios, expressing ratios in simplest forms, and defining and describing proportions. Examples and activities were provided to practice these skills, including word problems, games, and group work. The goal was for students to apply ratio concepts to mathematical problems and real-world situations.
This document provides examples and exercises for writing mathematical expressions using letters to represent numbers. Students are asked to underline key words in statements and then write expressions using variables and numbers. Some examples include writing an expression to show how much money Marcus has if y is the amount Yaseen has plus 4, and an expression to show how many assignments Mario is missing if a is the number of assignments.
This document contains a math worksheet with word problems involving multiplication. The problems ask students to write multiplication sentences, complete arrays and tables, solve word problems using repeated addition or multiplication, and identify patterns in tables. The document tests students' understanding of representing multiplication as repeated addition and equal groups, using arrays and tables to model multiplication, and applying the commutative and distributive properties of multiplication.
This document contains a lesson on substituting values into expressions to evaluate addition and subtraction expressions. It includes examples of developing expressions to represent relationships between variables in tables and evaluating those expressions. It contains opening exercises, examples, and practice problems for students to complete substitution problems using variables and expressions.
Activities and Strategies to Teach KS Standardsmflaming
The document provides an agenda and overview for a workshop on teaching math state standards to elementary learners. It includes activities, discussions, and examples to help participants understand concepts like numbers and operations, algebra, geometry, data, and problem solving. Cognitive categories for different levels of math skills are defined. Sample word problems assess addition, subtraction, multiplication, division, and multi-step reasoning abilities.
The document is a practice test for 3rd grade math that contains multiple choice and short answer questions about topics like time, fractions, patterns, word problems, and more. It asks students to identify patterns, solve word problems, compare fractions and decimals, interpret data in tables and graphs, and choose the correct mathematical operation or expression to solve problems. The practice test contains over 20 questions to help prepare students for an upcoming math test.
This document outlines a lesson plan on ratios and proportions. The objectives are for students to demonstrate understanding and application of ratios, proportions, and expressing one value as a fraction of another given their ratio. The lesson plan provides examples of ratios of objects and quantities. It discusses different ways to write ratios in word, colon, and fraction forms. Students practice identifying ratios, writing them in simplest form, and applying them to real-world examples like comparing quantities of school supplies. The plan aims to build students' mastery of ratios and their ability to express one value as a multiple of another given their ratio.
The document provides a daily lesson log for a 5th grade mathematics class that focuses on ratios. Over the course of the week, students will:
1) Learn about ratios and how to express them using fractions, decimals, and proportions. Examples used include comparing numbers of circles to squares.
2) Practice skills like writing ratios in different forms using real objects and visual examples from daily life. Ratios compared may involve numbers of students, fruits, or classroom supplies.
3) Apply their understanding of ratios to solve word problems involving costs, quantities for sale, and family demographics to strengthen comprehension of ratios in practical scenarios. Assessment occurs through ratio identification, expression, and application exercises.
This document provides vocabulary and lessons about integers and algebra. It defines terms like algebraic expressions, exponents, order of operations, and properties of equality. It discusses writing and solving equations using addition, subtraction, multiplication and division. Lessons include using models, function tables, and the substitution property to solve word problems involving integers. The document emphasizes writing equations from word problems and using the correct properties of equality to solve for variables.
The document provides examples for solving equations, including:
1) Solving linear equations with rational number coefficients by expanding expressions using the distributive property and collecting like terms.
2) Translating sentences into one-variable equations to represent real-world situations and define variables.
3) Writing and solving equations from word problems by letting variables represent unknown quantities and setting up equations equal to the total amounts given.
1) The document describes a lesson on adding 3- to 4-digit numbers with regrouping. It includes a drill game for students to practice, example problems for review, and motivational questions about recycling newspapers.
2) Developmental activities are presented where students from Masaya Elementary School brought plastic bottles for a fund drive. Questions assess how many bottles each student brought and the total.
3) The lesson is summarized as first writing numbers in columns before adding, adding ones place first then tens and so on, regrouping when needed such as when a sum is 10 or more in one column.
The document contains a variety of math word problems and questions involving addition, subtraction, measurement, time, shapes, fractions, and other math concepts. It asks the reader to solve problems, identify numbers or quantities, complete patterns, compare values, and choose the best answer from multiple choice options.
The document contains a variety of math word problems and questions involving addition, subtraction, measurement, time, shapes, fractions, and other math concepts. It asks the reader to solve problems, identify numbers or quantities, complete patterns, compare values, and choose the best answer from multiple choice options.
This document contains 20 math word problems divided into lessons. The problems involve concepts like grouping objects into equal sets, repeated addition, arrays, and determining if quantities are even or odd. Example problems include Julisa putting 12 stuffed animals into 3 equal baskets, Mayra sorting socks by color into groups, and Mrs. Boxer having 11 boys and 9 girls at a party. Learners are asked to draw diagrams, write number sentences, and determine if amounts are even or odd to represent and solve the word problems.
MATH 6 PPT Q3 – Translation Of Real-Life Verbal Expressions And Equations Int...MercedesTungpalan
This document discusses algebraic expressions and equations. It defines an algebraic expression as a mathematical phrase that uses variables, numerals, and operation symbols. It also explains how to translate real-life verbal expressions and equations into letters or symbols and vice versa by carefully reading context clues to determine the needed information. Finally, it emphasizes the importance of familiarity with words and phrases associated with symbols and operations for accurately translating between verbal and algebraic representations.
This is the course or teachers in Indonesia on number sense for Primary 4 to 6. It covers place values, regrouping, large number multiplication and division and some ideas on estimation and multiples.
This document contains a daily lesson log for a 4th grade math class. It outlines the objectives, content, learning resources, procedures, and evaluation for lessons on numbers and number sense taught throughout the week. The lessons cover rounding numbers, comparing numbers using relation symbols, ordering numbers, and word problems involving multiplication and division of whole numbers. The log details the teaching strategies used each day, including drills, reviews, presentations, group activities, and applications. It also includes assessments to evaluate student learning.
This document contains a quiz reviewing ratios for a math class. It includes 12 multiple choice and short answer questions covering topics like writing ratios from descriptions, equivalent ratios, and using ratios to solve problems. The questions prompt students to write ratios, draw diagrams, identify equivalent ratios, and use ratios to solve word problems about topics like cookies, jewelry, running, and frozen yogurt.
This document contains a daily lesson log for a 6th grade mathematics class. The lesson focuses on multiplying decimals and mixed decimals with factors up to 2 decimal places. Students will practice multiplying decimals mentally by 0.1, 0.01, 10, and 100. They will also solve routine and non-routine word problems involving multiplication of decimals and mixed decimals. The teacher uses examples, think-pair-share activities, and word problems to reinforce the skills and concepts. Students are assessed on their ability to accurately complete multiplication problems and solve word problems involving decimals.
Similar to Lessons 18 29 quiz review with answers (20)
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.
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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- An overview of the course content which will cover the geography and history of the Eastern Hemisphere, including major ancient and modern civilizations.
- A list of required supplies and materials for classwork and homework assignments.
- Classroom expectations which emphasize being prepared, respectful, and asking questions.
- Details on grading, homework policies, absences, units to be covered, and contact information for the teachers and website.
The document is a supply list for Team Orion's sixth grade class for the 2015-2016 school year. It lists the required supplies for the team binder and various subjects including science, social studies, English Language Arts (ELA), and math. Some common required items across subjects are binders, loose-leaf paper, dividers, and tissues. Supplies are tailored to individual teachers for ELA and math. Students are only allowed to carry two binders between classes and will have time to go to lockers between periods.
This document provides an outline for writing a book report with 4 paragraphs: an introduction summarizing the book's events and setting, a character description paragraph with evidence, an excerpt explanation paragraph, and a conclusion discussing the author's purpose and theme. The book report format emphasizes including textual evidence and explaining the relevance and significance of key moments in the story.
The document outlines the supply list for Team Orion's sixth grade students for the 2015-2016 school year. It details the supplies needed for a team binder to be carried between all classes, as well as subject-specific supplies for science, social studies, English language arts, and math. Students are asked to have a team binder, subject binders, loose-leaf paper, dividers, notebooks, folders, and other classroom supplies such as tissues and post-it notes. They are not allowed to carry backpacks between classes.
This document provides an outline for writing a business letter summarizing a recently read book. The letter should include an introduction paragraph with the title, author, genre, and brief summary. A second paragraph should make a claim about a main character and provide textual evidence. A third paragraph should include a scene excerpt, its relevance, and why it was chosen. The conclusion paragraph should discuss the author's purpose and theme. A bibliography is required at the end. The letter must follow proper formatting guidelines.
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.
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.
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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.
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.
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.
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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2) On Tuesday, students will work on problem sets for Lesson 9 and 13, which cover finding the perimeter and area of polygons on the coordinate plane.
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This document provides a lesson on drawing polygons on the coordinate plane. It includes 4 examples of plotting points and drawing polygons to connect those points. It then provides the name of each polygon drawn and how to calculate its area, whether by using formulas for basic shapes like triangles or decomposing complex shapes into simpler ones. The document emphasizes using coordinates to determine side lengths and plotting points accurately on the coordinate plane in order to find polygon areas.
This document provides examples and exercises for plotting polygons on a coordinate plane and calculating their areas. It includes examples of plotting triangles, rectangles, and other polygons given their vertices and calculating their areas. It then gives practice problems for students to plot polygons on their own, name the shapes, determine the areas using formulas, and write expressions to represent the area calculations. The final problems involve finding missing vertices of polygons when given some vertices and the total area.
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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.
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
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Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
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Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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By Dr. Vinod Kumar Kanvaria
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This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
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Lessons 18 29 quiz review with answers
1. Name ____________________________________ Date ________________________
Mrs. Labuski / Mrs. Portsmore Period ________ Module 4 Lessons 18-29 Qz Review
Module 4 Lesson 18 Writing and Evaluating Expressions – Addition and Subtraction
Read the story problem. Identify the unknown quantity and write an addition or subtraction
expression that is described. Then evaluate your expression given the further information.
Story Problem
Description
with Units
Expression
Evaluate the
Expression if:
Show your Work
and Evaluate
Robby has two
more basketballs
than his brother
Michael.
Let 𝒆 = the
number of balls
Michael has
𝒆 + 𝟐
Michael has 𝟕
basketballs.
𝒆 + 𝟐
𝟕 + 𝟐
𝟗
Robby has 𝟗
basketballs.
Ella baked 𝟖 more
cupcakes than
Anna in the sixth
grade.
Anna baked 𝟏𝟎
cupcakes in the
sixth grade.
Lisa has been
surfing for 𝟑 more
years than Danika.
Danika has
been surfing
for 𝟗 years.
Mrs. Labuski went running yesterday. Now she has run 5 more miles than Bob. Write an
expression to represent the number of miles Bob ran. Let m = the number of miles Mrs.
Labuski ran.
Write an expression to represent the number of miles Mrs. Labuski ran. Let b = the number of
miles Bob ran.
If Mrs. Labuski ran 8 miles, how many miles did Bob run?
2. Module 4 Lesson 19 Substituting to Evaluate Addition and Subtraction Expressions
Sara and Tiffany are in 6th
grade and both take drum lessons at School of Rock Music Store.
This is Sara’s first year, while this is Tiffany’s fifth year. Both girls plan to continue taking
lessons throughout high school.
a. Complete the table showing the number of years the girls will have been drumming at the
music store.
Grade
Sara’s Years of Experience
With Drums
Tiffany’s Years of Experience
With Drums
Sixth
Seventh
Eighth
Ninth
Tenth
Eleventh
Twelfth
b. If Sara has been taking drum lessons for 𝑦 years, what expression could represent how many
years has Tiffany been taking lessons?
c. If Tiffany has been taking drum lessons for x years, what expression could represent the
number of years Sara has been taking lessons?
3. The elementary school Writer’s Club has 15 poets this year. The Writing Club instructor
insists that there are to be 5 more essay writers than poets at all times.
a. How many essay writers are in the Writer’s Club this year?
b. Write two expressions that describes the relationship of the number of poets (𝑝) and the
number of essay writers (𝑒).
c. If there are only 12 essay writers interested in joining the Writer’s Club next year, how many
poets will the Writing Club instructor want in the club?
3. Module 4 Lesson 20 Writing and Evaluating Expressions – Multiplication and Division
Joe earns $75.00 per day. Create a table of values that shows the relationship between the
number of days that Joe worked , d, and the amount of money that he earned, e.
a. If we let d represent the number of days that Joe worked, what is the expression that shows
how much money Joe earned.
b. Use your expression to determine how much Joe earned if he worked 12 days.
c. If let e represent how much money Joe earned, what is the expression that shows how many
days he worked.
d. Use your expression to determine how many days Joe worked if he earned $600.00.
4. Module 4 Lesson 21 Writing and Evaluating Expressions – Multiplication and Addition
The PTA is planning a weekend field trip for its graduating seniors. The cost of the bus is
$350.00 for the weekend. In addition, each student will have to pay $5 for the price of the trip.
Complete the table below to calculate the amount of money the PTA will pay if ten seniors go
on the trip.
a. Write an expression that shows the amount of money the PTA collects if s number of
students attend the trip.
b. Use your expression to determine the amount of money the PTA would collect if 60 students
attend the trip.
Module 4 Lesson 22 Writing and Evaluating Expressions – Exponents
Judah had two children. When those children grew up, each one also had two children, who
later each had two children as well. If this pattern continues, how many children are there in the
5th
generation?
Generation Number of Children
Number of Children written
as a power of 2
a. Write an expression for how many children would be born after g generations.
b. Use your expression to determine how many children would be born after 10 generations.
5. Module 4 Lesson 23 True or False Number Sentences
Substitute the value for the variable and state in a complete sentence whether the resulting
number sentence is true or false. If true, find a value that would result in a false number
sentence. If false, find a value that would result in a true number sentence.
18b ≥ 54. Substitute 3 for b.
28 + c = 35. Substitute 8 for c.
18 ≥ 33 – t. Substitute 15 for t.
Module 4 Lesson 24 True of False Number Sentences.
State whether the sentence is true or false.
56 – 14 < 48
33 ≥ 13 + 23
State when the following equations and inequalities will be true and when they will be false.
6r > 36
15 = 6 + d
32 – t < 18
6. Module 4 Lesson 26 One Step Equations – Addition & Subtraction
Find the solution of the equations using a tape diagram. Check your answer.
p + 5 = 11 f – 8 = 10
Find the solution of the equations below algebraically. Check your answer.
k – 29 = 54 46 + m = 100
46 = t – 4 n + 5 = 17
Module 4 Lesson 27 One Step Equations – Multiplication & Division
Find the solution of the equations using a tape diagram. Check your answer.
4x = 20
3
m
= 9
7. Find the solution of the equation below algebraically. Check your answer.
7x = 35 12y = 60
5
h
= 6
7
k
= 2
Module 4 Lesson 28 Two-Step Problems – All Operations
Find the solution of the equation below algebraically. Check your answer.
x + 15 − 6 = 18 y + 9 +12 = 40
x + x =12 n + 2n = 9
Barry had 𝟓𝟎 doubles last season which is 𝟏𝟎 more than his best season. Willy had 8 more
doubles than Derek last season. Willy had the same number of as Barry’s best season. Let 𝑏
represent the number of doubles Barry had during his best season, 𝑑 represent the number of
Derek’s doubles last season, and 𝑤 represent the number of Willy’s doubles last season. How
many doubles did Derek have last season?
8. Lesson 29 Multi-Step Problems – All Operations
Solve the problem using tables and equations, and then check your answer with the word
problem. Try to find the answer only using two rows of numbers on your table.
1. The PE teachers are organizing supplies for this year’s field day. In order to have enough
materials for all of the students, they need twice as many hula hoops as Frisbees. The number
of flags required is ten times more than the number of hula hoops. The number of cones that is
needed is half as many flags. If they have a total of 396 supplies, how many cones do they
have?
ANSWER:
Flags Cones Frisbees Hula hoops total
9. Name ____________________________________ Date ________________________
Mrs. Labuski / Mrs. Portsmore Period ________ Module 4 Lessons 18-29 Qz Review
Module 4 Lesson 18 Writing and Evaluating Expressions – Addition and Subtraction
Read the story problem. Identify the unknown quantity and write an addition or subtraction
expression that is described. Then evaluate your expression given the further information.
Story Problem
Description
with Units
Expression
Evaluate the
Expression if:
Show your Work
and Evaluate
Robby has two more
basketballs than his
brother Michael.
Let 𝒆 = the
number of balls
Michael has
𝒆 + 𝟐
Michael has 𝟕
basketballs.
𝒆 + 𝟐
𝟕 + 𝟐
𝟗
Robby has 𝟗
basketballs.
Ella baked 𝟖 more
cupcakes than Anna
in the sixth grade.
Let c = the
number of
cupcakes Anna
has
c + 8
Anna baked
𝟏𝟎 cupcakes
in the sixth
grade.
c + 8
10 + 8
18
Ella bakes 18
cupcakes
Lisa has been surfing
for 𝟑 more years than
Danika.
Let d = number
of years Danika
has been
surfing
d + 3
Danika has
been surfing
for 𝟗 years.
d + 3
9 + 3
12
Lisa has been
surfing for 12
years.
Mrs. Labuski went running yesterday. Now she has run 5 more miles than Bob. Write an
expression to represent the number of miles Bob ran. Let m = the number of miles Mrs.
Labuski ran.
m - 5
Write an expression to represent the number of miles Mrs. Labuski ran. Let b = the number of
miles Bob ran.
b + 5
If Mrs. Labuski ran 8 miles, how many miles did Bob run?
m – 5
8-5
3
Bob ran 3 miles
10. Module 4 Lesson 19 Substituting to Evaluate Addition and Subtraction Expressions
Sara and Tiffany are in 6th
grade and both take drum lessons at School of Rock Music Store.
This is Sara’s first year, while this is Tiffany’s fifth year. Both girls plan to continue taking
lessons throughout high school.
a. Complete the table showing the number of years the girls will have been drumming at the
music store.
Grade
Sara’s Years of Experience
With Drums
Tiffany’s Years of Experience
With Drums
Sixth 1 5
Seventh 2 6
Eighth 3 7
Ninth 4 8
Tenth 5 9
Eleventh 6 10
Twelfth 7 11
b. If Sara has been taking drum lessons for 𝑦 years, what expression could represent how many
years has Tiffany been taking lessons?
y + 4
c. If Tiffany has been taking drum lessons for x years, what expression could represent the
number of years Sara has been taking lessons?
x - 4
3. The elementary school Writer’s Club has 15 poets this year. The Writing Club instructor
insists that there are to be 5 more essay writers than poets at all times.
a. How many essay writers are in the Writer’s Club this year?
15 + 5 = 20
b. Write two expressions that describes the relationship of the number of poets (𝑝) and the
number of essay writers (𝑒).
p + 5 = e e – 5 = p
c. If there are only 12 essay writers interested in joining the Writer’s Club next year, how many
poets will the Writing Club instructor want in the club?
e - 5 = p
12 - 5 = p
7 = p
The instructor will want 7 poets.
11. Module 4 Lesson 20 Writing and Evaluating Expressions – Multiplication and Division
Joe earns $75.00 per day. Create a table of values that shows the relationship between the
number of days that Joe worked , d, and the amount of money that he earned, e.
Number of Days Joe Worked, d Amount Earned, e, in Dollars
1 75
2 150
3 225
4 300
a. If we let d represent the number of days that Joe worked, what is the expression that shows
how much money Joe earned.
75d
b. Use your expression to determine how much Joe earned if he worked 12 days.
75d
75 12
900
Joe will earn $900 if he works 12 days.
c. If let e represent how much money Joe earned, what is the expression that shows how many
days he worked.
e ÷ 75
d. Use your expression to determine how many days Joe worked if he earned $600.00.
e ÷ 75
600 ÷ 75
8
Joe worked 8 days.
12. Module 4 Lesson 21 Writing and Evaluating Expressions – Multiplication and Addition
The PTA is planning a weekend field trip for its graduating seniors. The cost of the bus is
$350.00 for the weekend. In addition, each student will have to pay $5 for the price of the trip.
Complete the table below to calculate the amount of money the PTA will pay if ten seniors go
on the trip.
Number of Students on
the Trip (s)
Total Cost in Dollars
(d)
1 355
2 360
3 365
4 370
5 375
6 380
7 385
8 390
9 395
10 400
a. Write an expression that shows the amount of money the PTA collects if s number of
students attend the trip.
350 + 5s
b. Use your expression to determine the amount of money the PTA would collect if 60 students
attend the trip.
350 + 5s
13. Module 4 Lesson 22 Writing and Evaluating Expressions – Exponents
Judah had two children. When those children grew up, each one also had two children, who
later each had two children as well. If this pattern continues, how many children are there in the
5th
generation?
Generation Number of Children
Number of Children
written as a power of 2
1 2 21
2 4 22
3 8 23
4 16 24
5 32 25
a. Write an expression for how many children would be born after g generations.
2g
b. Use your expression to determine how many children would be born after 10 generations.
2g
210
1024
Module 4 Lesson 23 True or False Number Sentences
Substitute the value for the variable and state in a complete sentence whether the resulting
number sentence is true or false. If true, find a value that would result in a false number
sentence. If false, find a value that would result in a true number sentence.
18b ≥ 54. Substitute 3 for b.
True. Any value less than 3 will result in a false statement
28 + c = 35. Substitute 8 for c.
False. The number 7 is the only value that will result in a true number sentence.
18 ≥ 33 – t. Substitute 15 for t.
True. Any value 18 or greater will result in a true sentence.
Module 4 Lesson 24 True of False Number Sentences.
State whether the sentence is true or false.
56 – 14 < 48
True
33 ≥ 13 + 23
False
14. State when the following equations and inequalities will be true and when they will be false.
6r > 36
This inequality is true for any value that is greater than 6 and false then the value is less than
or equal to 6.
15 = 6 + d
This equation is true when the value of d is 9 and false when the value is any other number.
32 – t < 18
This inequality is true for any value that is less than 14 and false then the value is greather
than or equal to 14.
Module 4 Lesson 26 One Step Equations – Addition & Subtraction
Find the solution of the equations using a tape diagram. Check your answer.
p + 5 = 11 f – 8 = 10
p = 6
p + 5 = 11 f – 8 = 10
6 + 5 = 11 18 – 8 = 10
11 + 11 10 = 10
𝒑 𝟓
𝟏𝟏
𝟔 𝟓
𝟏𝟏
𝟔 𝟓
𝒑 𝟓
𝒑
𝟔
𝒇
𝟖 𝟏𝟎
𝒇
𝟏𝟖
𝟖 𝟏𝟎
f = 18
15. Find the solution of the equations below algebraically. Check your answer.
k – 29 = 54 46 + m = 100
k – 29 + 29 = 54 + 29 46 + m – 46 = 100 – 46
k = 83 m = 54
check check
k – 29 = 54 46 + m = 100
83 – 29 = 54 46 + 54 = 100
54 = 54 100 = 100
46 = t – 4 n + 5 = 17
46 + 4 = t – 4 + 4 n + 5 – 5 = 17 – 5
50 = t n = 12
check check
46 = t – 4 n + 5 = 17
46 = 50 – 4 12 + 5 = 17
46 = 46 17 = 17
Module 4 Lesson 27 One Step Equations – Multiplication & Division
Find the solution of the equations using a tape diagram. Check your answer.
4x = 20
3
m
= 9
x = 5
check check
4x = 20
3
m
= 9
4(5) = 20 27 ÷ 3 = 9
20 = 20 9 = 9
𝒙
𝟓𝟓 𝟓𝟓
𝟐𝟎
𝒙𝒙 𝒙𝒙
𝟐𝟕
𝒎
𝒎 ÷ 𝟑
𝟗
𝒎 ÷ 𝟑𝒎 ÷ 𝟑 𝒎 ÷ 𝟑
𝟗𝟗 𝟗
𝒎
16. Find the solution of the equation below algebraically. Check your answer.
7x = 35 12y = 60
7x ÷ 7 = 35÷ 7 12y ÷ 12 = 60 ÷ 12
x = 5 y = 5
check check
7x = 35 12y = 60
7(5) = 35 12(5) = 60
35 = 35 60 = 60
5
h
= 6
7
k
= 2
h ÷55 = 65 k÷ 77 = 27
h = 30 k = 14
check check
h ÷5 = 6 k÷ 7 = 2
30 ÷5 = 6 14÷ 7 = 2
6 = 6 2 = 2
Module 4 Lesson 28 Two-Step Problems – All Operations
Find the solution of the equation below algebraically. Check your answer.
x + 15 − 6 = 18 y + 9 +12 = 40
x + 9 = 18 y + 21 = 40
x + 9 - 9= 18 - 9 y + 21 – 21 = 40 - 21
x = 9 y = 19
check check
x + 15 − 6 = 18 y + 9 +12 = 40
9 + 15 − 6 = 18 19 + 9 +12 = 40
18 = 18 40 = 40
x + x =12 n + 2n = 9
2x = 12 3n = 9
2x ÷ 2 = 12÷ 2 3n ÷ 3 = 9 ÷ 3
x = 6 n = 3
check check
x + x =12 n + 2n = 9
6 + 6 =12 3 + 2(3) = 9
12 = 12 3 + 6 = 9
9 = 9
17. Barry had 𝟓𝟎 doubles last season which is 𝟏𝟎 more than his best season. Willy had 8 more
doubles than Derek last season. Willy had the same number of as Barry’s best season. Let 𝑏
represent the number of doubles Barry had during his best season, 𝑑 represent the number of
Derek’s doubles last season, and 𝑤 represent the number of Willy’s doubles last season . How
many doubles did Derek have last season?
Solution:
Barry
50
b 10
Willy
b
d 8
Derek
d
Let’s Start with Barry
b + 10 = 50
b + 10 – 10 = 50 – 10
b = 40
Now we can solve Willy’s tape diagram
b = d + 8
40 = d + 8
40 – 8 = d + 8 – 8
32 = d
Derek had 32 doubles
18. Lesson 29 Multi-Step Problems – All Operations
Solve the problem using tables and equations, and then check your answer with the word
problem. Try to find the answer only using two rows of numbers on your table.
1. The PE teachers are organizing supplies for this year’s field day. In order to have enough
materials for all of the students, they need twice as many hula hoops as Frisbees. The number
of flags required is ten times more than the number of hula hoops. The number of cones that is
needed is half as many flags. If they have a total of 396 supplies, how many cones do they
have?
ANSWER:
Flags Cones Frisbees Hula hoops total
20 10 1 2 33
240 120 12 24 396
They will have a total of 120 cones.
Let f represent the number of Frisbees. Therefore, 2f represents the number of hula hoops, and
20frepresents the number of flags and 10f represents the number of cones.
f + 2f + 10f + 20 f = 396
33f = 396
33f ÷ 33 = 396 ÷ 33
f = 12
Therefore, the PE teachers have 120 cones because 10(12)=120