Module 2 lesson 11
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The document contains notes from a math lesson on multiplying signed numbers. It includes homework assignments, examples of signed number multiplication problems, and explanations of patterns in the sign of products. Key points covered are: developing rules for multiplying signed numbers, completing a table that shows the sign of products in each quadrant, explaining how the sign of a product relates to the quadrants the factors are in, and defining additive inverses using 1 and -1.
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Module 2 lesson 11
This document contains notes from a math lesson on multiplying signed numbers. It includes examples of completing a quadrant table showing the products of different signed number combinations. Questions are provided to help students recognize patterns in the table and understand the rules for determining the sign of a signed number product based on the quadrants the numbers fall in. Practice problems are given to apply the skills, and a closing asks students to explain how to determine the sign of a signed number product and why two negative values result in a positive product.
Module 2 lesson 13
This document contains notes from a math class, including:
- Homework and exam reminders
- Instructions for a math sprint activity
- Questions and responses about converting between fractions and decimals
- Examples of where fractions and decimals are used in real life
- Notes on place value and prime factorizations as they relate to writing fractions as decimals
Module 2 lesson 14
This document contains notes from a mathematics lesson on converting rational numbers to decimals using long division. It includes examples of long division problems, discussions of terminating and repeating decimals, and practice problems for students to work through. An exam on this content is scheduled for the following Wednesday.
End of module 2 review guide best
The document outlines an end of module 2 review for a class. It provides instructions for students to prepare for their final exam on Monday by reviewing their module 2 materials over the weekend and filing materials at home. It also notes a change to problem 6B and includes pages for reviewing homework questions S.122 through S.123.
Module 2 lesson 15
This document outlines notes from a math lesson on multiplying and dividing rational numbers. It includes examples of multiplying and dividing fractions and decimals, as well as determining the sign of the answer based on the signs of the factors or dividend and divisor. Students are assigned problems from the lesson for homework and have an exam coming up. The lesson focuses on using context clues from word problems to decide whether to multiply or divide rational numbers and the sign of the final answer.
Lesson 5 day 2
This document appears to be notes from a math lesson on subtracting integers. It includes examples of subtracting integers using a number line, practice problems subtracting integers, word problems involving subtracting integers, and a sprint exercise on the topic. The lesson emphasizes that subtracting integers can be thought of as adding the opposite or additive inverse.
Module 2 lesson 16
The document appears to be notes from a math lesson on multiplying and dividing rational numbers. It includes examples of using the commutative and associative properties to efficiently multiply rational numbers. It also discusses how the sign of the answer is determined based on whether there is an even or odd number of negatives. Finally, it reviews properties like the distributive property and multiplicative inverses that are helpful for multiplying and dividing rational numbers.
Module 2 lesson 7
This document outlines lessons from Module 2 on adding and subtracting rational numbers. It includes examples of number line models demonstrating how to find the sums and differences of integers. Students are assigned problems from the lesson set and an integer sprint. The closing questions ask about challenges of using the number line model for non-integer rational numbers and how to interpret an arrow on the number line representing the addition of a decimal amount.
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Module 2 lesson 11
This document contains notes from a math lesson on multiplying signed numbers. It includes examples of completing a quadrant table showing the products of different signed number combinations. Questions are provided to help students recognize patterns in the table and understand the rules for determining the sign of a signed number product based on the quadrants the numbers fall in. Practice problems are given to apply the skills, and a closing asks students to explain how to determine the sign of a signed number product and why two negative values result in a positive product.
Module 2 lesson 13
This document contains notes from a math class, including:
- Homework and exam reminders
- Instructions for a math sprint activity
- Questions and responses about converting between fractions and decimals
- Examples of where fractions and decimals are used in real life
- Notes on place value and prime factorizations as they relate to writing fractions as decimals
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This document contains notes from a mathematics lesson on converting rational numbers to decimals using long division. It includes examples of long division problems, discussions of terminating and repeating decimals, and practice problems for students to work through. An exam on this content is scheduled for the following Wednesday.
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The document outlines an end of module 2 review for a class. It provides instructions for students to prepare for their final exam on Monday by reviewing their module 2 materials over the weekend and filing materials at home. It also notes a change to problem 6B and includes pages for reviewing homework questions S.122 through S.123.
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This document outlines notes from a math lesson on multiplying and dividing rational numbers. It includes examples of multiplying and dividing fractions and decimals, as well as determining the sign of the answer based on the signs of the factors or dividend and divisor. Students are assigned problems from the lesson for homework and have an exam coming up. The lesson focuses on using context clues from word problems to decide whether to multiply or divide rational numbers and the sign of the final answer.
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The document appears to be notes from a math lesson on multiplying and dividing rational numbers. It includes examples of using the commutative and associative properties to efficiently multiply rational numbers. It also discusses how the sign of the answer is determined based on whether there is an even or odd number of negatives. Finally, it reviews properties like the distributive property and multiplicative inverses that are helpful for multiplying and dividing rational numbers.
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2. It provides examples of subtracting integers and evaluating expressions with integer values.
3. It discusses using a number line to find the distance between two rational numbers and introduces the formula for calculating distance as the absolute value of the difference between the two numbers.
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This document contains notes from a math lesson on writing products as sums and sums as products. The lesson covered expressing arrays using expressions by representing squares as factors and rectangles as sums. Students practiced rewriting expressions and determining if expression models were equivalent through substitution. The lesson concluded with a problem set for homework.
Module 2 lesson 21
The document outlines a math lesson on solving equations. It includes homework assignments to complete problem sets and a review sheet. The lesson instructs students to fill out a KWL chart on solving equations and covers vocabulary and techniques for solving equations, such as combining like terms. It concludes by asking students to create a two-step equation with an answer of x = 4.
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The document discusses relations and functions. It provides an example of a relation that assigns the number of siblings to 5 students. This relation is represented through a table, arrow diagram, ordered pairs, graph, and discussion of the domain and range. Different types of relations are also defined including one-to-one, many-to-one, one-to-many, and many-to-many.
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This document outlines the key points from a math lesson on equations of graphs of proportional relationships. It includes the homework assigned, which was to complete problems sets and submit an assignment. The bulk of the document provides worked out solutions to problems from the lesson, with graphs and equations displayed. It closes by asking students why it is useful to know the equation of a relationship displayed on a graph.
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This document contains notes from a math lesson on writing, evaluating, and finding equivalent rational expressions. It includes examples of expressions, homework assignments, and review questions. The lesson covers how to evaluate expressions, determine if expressions are equivalent, and the key concepts taught were expressions, evaluation, and equivalence.
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This document contains notes from a math lesson on using number lines to model integer addition. The lesson includes examples of writing number sentences to represent financial transactions and using arrows on a number line to visually add integers. Students practice adding integers on a number line in groups. The closing questions review using a number line to find the sum of -8 + 5 and how absolute value is used.
Module 2 lesson 11
The document contains notes from a math lesson on multiplying integers:
- It reviews rules for determining the sign of products and completes a table showing the results of multiplying integers from -5 to 5.
- The table is divided into quadrants based on the signs of the integers, and patterns are noticed such as negatives in quadrants 2 and 4 and positives in 1 and 3.
- Questions are asked about using the table to determine product signs and describing integer scenarios for each quadrant.
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This document contains notes from a math lesson on integers and opposite quantities combining to make zero. It includes:
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- Instructions for a "Do Now" activity involving a Venn diagram
- Pages from the lesson notebook explaining that opposite numbers have the same absolute value and that adding a number to its opposite equals zero
- Rules for an integer card game where the goal is to discard cards to reach a score of zero
Module 2 lesson 11
This document contains notes from a math lesson on multiplying signed numbers. It includes instructions for homework problems 1-4 and developing rules for multiplying signed numbers. The bulk of the document discusses completing a table that shows the results of multiplying pairs of integers in each quadrant and exploring the patterns that emerge. The document concludes with a closing that reviews why the product of two negative numbers is positive and how to determine the sign of the product of two signed numbers.
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This document contains notes from a math lesson on converting fractions to decimals. It includes examples of fraction to decimal conversions using prime factorizations of denominators. Students are assigned problems sets and quizzed on integers. Real world examples of decimals in money and metrics are discussed. Fractions in carpentry and cooking are also provided as examples.
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This document contains notes from a math lesson on converting fractions to decimals. It includes examples and practice problems for skills like writing fractions as decimals using place value and prime factorizations. The document notes an exam on Tuesday and homework assignments. Practice problems are provided for skills like integers, fractions to decimals, and using equivalent fractions.
Module 2 lesson 9
This document summarizes Module 2 Lesson 9 on applying properties of operations to add and subtract rational numbers. The lesson covers using properties like the opposite of a sum is the sum of the opposites to simplify expressions into a single rational number. Examples are worked through step-by-step, applying properties like commutative, associative, and additive inverse. Students are asked to represent expressions as single rational numbers and explain their steps. The closing questions discuss how properties of operations help with rational number operations and if they could similarly help with multiplication and division.
Module 2 lesson 19
The document is notes from a math lesson on equivalent expressions with rational numbers. It includes examples of working through problems with rational number expressions and tape diagrams. Homework problems and answers are provided. The lesson covers writing equivalent expressions for discounted and sales tax amounts. It demonstrates calculating discounted prices using expressions and shows how the expressions would change for increased rather than decreased prices.
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This document outlines a lesson on using number lines to model addition of integers. It includes examples of modeling integer addition on a number line, such as $10 - $4 and 3 + (-2). It also discusses key concepts like absolute value and the order of adding integers. Students are asked to practice adding integers using number lines and to explain what absolute value represents.
Module 2 lesson 16
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Module 2 lesson 6
1. The document outlines a math lesson on rational numbers that includes: homework assignments to practice integer operations and complete a problem set on the distance between rational numbers.
2. It provides examples of subtracting integers and evaluating expressions with integer values.
3. It discusses using a number line to find the distance between two rational numbers and introduces the formula for calculating distance as the absolute value of the difference between the two numbers.
Module 3 lesson 3
This document contains notes from a math lesson on writing products as sums and sums as products. The lesson covered expressing arrays using expressions by representing squares as factors and rectangles as sums. Students practiced rewriting expressions and determining if expression models were equivalent through substitution. The lesson concluded with a problem set for homework.
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The document outlines a math lesson on solving equations. It includes homework assignments to complete problem sets and a review sheet. The lesson instructs students to fill out a KWL chart on solving equations and covers vocabulary and techniques for solving equations, such as combining like terms. It concludes by asking students to create a two-step equation with an answer of x = 4.
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This document contains notes from a math lesson on generating equivalent expressions. It includes:
- The homework, do now, and aim for the lesson
- Examples of subtracting and combining expressions
- Worked out problems involving expressions and word problems
- Explanations of relevant vocabulary terms and techniques like using inverses for division
- Solutions to practice problems and exit tickets
- A closing reflection on order of operations for subtraction and division
Basic relation add math
The document discusses relations and functions. It provides an example of a relation that assigns the number of siblings to 5 students. This relation is represented through a table, arrow diagram, ordered pairs, graph, and discussion of the domain and range. Different types of relations are also defined including one-to-one, many-to-one, one-to-many, and many-to-many.
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This document outlines the key points from a math lesson on equations of graphs of proportional relationships. It includes the homework assigned, which was to complete problems sets and submit an assignment. The bulk of the document provides worked out solutions to problems from the lesson, with graphs and equations displayed. It closes by asking students why it is useful to know the equation of a relationship displayed on a graph.
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This document contains notes from a math lesson on writing, evaluating, and finding equivalent rational expressions. It includes examples of expressions, homework assignments, and review questions. The lesson covers how to evaluate expressions, determine if expressions are equivalent, and the key concepts taught were expressions, evaluation, and equivalence.
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This document contains notes from a math lesson on using number lines to model integer addition. The lesson includes examples of writing number sentences to represent financial transactions and using arrows on a number line to visually add integers. Students practice adding integers on a number line in groups. The closing questions review using a number line to find the sum of -8 + 5 and how absolute value is used.
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The document contains notes from a math lesson on multiplying integers:
- It reviews rules for determining the sign of products and completes a table showing the results of multiplying integers from -5 to 5.
- The table is divided into quadrants based on the signs of the integers, and patterns are noticed such as negatives in quadrants 2 and 4 and positives in 1 and 3.
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This document contains notes from a math lesson on integers and opposite quantities combining to make zero. It includes:
- The aim of the lesson and homework assigned
- Instructions for a "Do Now" activity involving a Venn diagram
- Pages from the lesson notebook explaining that opposite numbers have the same absolute value and that adding a number to its opposite equals zero
- Rules for an integer card game where the goal is to discard cards to reach a score of zero
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This document contains notes from a math lesson on multiplying signed numbers. It includes instructions for homework problems 1-4 and developing rules for multiplying signed numbers. The bulk of the document discusses completing a table that shows the results of multiplying pairs of integers in each quadrant and exploring the patterns that emerge. The document concludes with a closing that reviews why the product of two negative numbers is positive and how to determine the sign of the product of two signed numbers.
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Module 2 lesson 11
- 1. Module 2 Lesson 11.notebook 1 November 18, 2013 11/18/13 Module 2, Lesson 11 HW: Lesson 11 Problem Set #1-4 and CRS 8 due tomorrow Do Now: Exit Ticket For Lesson 10 Develop Rules for Multiplying Signed Numbers
- 6. Module 2 Lesson 11.notebook 6 November 18, 2013 Part B: Complete quadrant 2 of the table. What relationships or patterns do you notice between the products (values) in quadrant two and the products (values) in quadrant 1? What relationships or patterns do you notice between the products (values) in quadrant two and the products (values) in quadrant four? Use what you know about the products (values) in quadrant one, two, and four to describe what quadrant three will look like when its products (values) are entered. a. b. c. 1 2 3 4 5 2 4 8 10 3 6 9 12 15 4 8 12 16 20 5 10 15 20 25 1 2 3 4 5 2 4 6 8 10 3 6 9 1215 4 8 121620 5 10152025 12345 12345 246810 3691512 48121620 510152025
- 7. Module 2 Lesson 11.notebook 7 November 18, 2013 Part C: Complete the quadrant 3 of the table. Refer to the completed table to help you answer the following questions: f. Is it possible to know the sign of a product of two integers just by knowing in which quadrant each integer is located? Explain. g. Which quadrants contain which values? Describe an integer game scenario represented in each quadrant. 1 2 3 4 5 2 4 8 10 3 6 9 12 15 4 8 12 16 20 5 10 15 20 25 1 2 3 4 5 2 4 6 8 10 3 6 9 1215 4 8 121620 5 10152025 12345 12345 246810 3691215 48121620 510152025 12345 246810 3691512 48121620 510152025
- 10. Module 2 Lesson 11.notebook 10 November 18, 2013 1.) A submarine is diving from the surface of the water at a rate of 90 feet per minute. What is the depth after 7 minutes? 2.) If I own 100 shares of Apple stock and the price drops by $3 per share, what is the change in my investment? Write an expression. 3.) -4(3) = 4.) -5(-7) = 5.) 7(-3) = 6.) -9(-5) =
- 11. Module 2 Lesson 11.notebook 11 November 18, 2013 CLOSING: • Why does the product of two negative values result in a positive value? Explain using the Integer Game. • How do we determine if the product of two signed numbers will be positive or negative?