Module 3 lesson 12
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This document contains notes from a math lesson on properties of inequalities. It includes examples of how the inequality symbol is preserved or reversed when applying operations like addition, subtraction, multiplication, and division to inequalities. The key points are: 1) The inequality symbol is preserved when adding or subtracting any number, or when multiplying or dividing by a positive number. 2) The inequality symbol is reversed when multiplying or dividing by a negative number. This causes a greater than symbol to become less than, or vice versa. 3) Examples are provided to demonstrate preserving or reversing the inequality symbol in different operations involving addition, subtraction, multiplication, and division.
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Module 3 lesson 12
This document contains notes from a mathematics lesson on properties of inequalities. It includes examples of how the inequality symbol is preserved or reversed when performing operations like addition, subtraction, multiplication, and division. Specifically:
- The inequality symbol is preserved when adding, subtracting, or multiplying/dividing by a positive number.
- The inequality symbol is reversed when multiplying or dividing by a negative number.
- A greater than symbol becomes a less than symbol, or vice versa, when the inequality is reversed due to multiplying or dividing by a negative number.
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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
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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 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 12
The document outlines the homework assignments for Module 2 Lesson 12, which includes completing a problem set, submitting CRS #7, and preparing for Exam 3 on November 25th. It also provides lesson content on integers and rational numbers, examples of rational number operations, and closing questions about the relationship between multiplying and dividing integers and the resulting sign of quotients.
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The document contains notes from a math lesson on multi-step ratio problems. It includes the homework assigned which was problems 1, 3, 4, 6, and 7 from the lesson 14 problem set. A test on the material was scheduled for the following Wednesday. Examples were provided for solving fractional markdown problems using tape diagrams.
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This document contains notes from a mathematics lesson on subtracting integers and other rational numbers. It includes examples of subtracting integers using a card game analogy and discussions of how selecting or discarding positive and negative cards affects the running total. Key points are introduced, such as the rule that subtracting a number is the same as adding its opposite. Students are directed to review predictions made about subtracting positive and negative integers and reminded of ways to increase or decrease the value of cards in their hand.
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Module 3 lesson 12
This document contains notes from a mathematics lesson on properties of inequalities. It includes examples of how the inequality symbol is preserved or reversed when performing operations like addition, subtraction, multiplication, and division. Specifically:
- The inequality symbol is preserved when adding, subtracting, or multiplying/dividing by a positive number.
- The inequality symbol is reversed when multiplying or dividing by a negative number.
- A greater than symbol becomes a less than symbol, or vice versa, when the inequality is reversed due to multiplying or dividing by a negative number.
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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
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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 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.
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The document outlines the homework assignments for Module 2 Lesson 12, which includes completing a problem set, submitting CRS #7, and preparing for Exam 3 on November 25th. It also provides lesson content on integers and rational numbers, examples of rational number operations, and closing questions about the relationship between multiplying and dividing integers and the resulting sign of quotients.
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This document contains notes from a mathematics lesson on subtracting integers and other rational numbers. It includes examples of subtracting integers using a card game analogy and discussions of how selecting or discarding positive and negative cards affects the running total. Key points are introduced, such as the rule that subtracting a number is the same as adding its opposite. Students are directed to review predictions made about subtracting positive and negative integers and reminded of ways to increase or decrease the value of cards in their hand.
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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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2) Examples of multiplying integers by -5 with conclusions that a negative number multiplied by a negative number results in a positive product.
3) An interactive Socrative Space Races activity to reinforce the concept.
4) Students completing problem set page 65 to practice multiplying integers.
Module 4 lesson 12
This document contains notes from a math lesson on scale drawings and scale factors. It includes the homework assigned, which was to complete problems from Problem Set 12 and prepare for an end of module exam. The lesson notes cover calculating and applying scale factors to create scale drawings, including the possibility of using different horizontal and vertical scale factors.
Review # 6 v2
This document appears to be notes from a math review session. It contains instructions for homework assignments, including preparing for an upcoming test and completing a review packet. The bulk of the notes cover reviewing various math concepts through worked examples, including discount and tax, percent error, percents, inequalities, volume, and multiple choice questions. Review topics include factoring, writing equations, points on a coordinate plane, unit rates, subtracting polynomials, and distributing and combining like terms in expressions.
Mod 4 lesson 13
This document discusses writing division expressions without using the division symbol. It shows that division can be written as a fraction, with the dividend as the numerator and the divisor as the denominator. Examples are provided to demonstrate writing various division expressions using fractions instead of the division symbol. Exercises then have students write division expressions in two ways - using the division symbol and as a fraction.
Module 4 lesson 12
This document appears to be notes from a math class. It includes the homework assignments of problem set 12 questions 1-3 and a test on Friday March 27th. It also provides answers to homework problems from pages 69-75 of the textbook. The lesson summary is on page 76 and asks as a closing question if a scale drawing can have different horizontal and vertical scale factors, and if so, how to create one with different factors.
Module 2 lesson 15 multiplying and dividing rational numbers
This document outlines the agenda for a math lesson on multiplying and dividing rational numbers. It includes instructions for students to complete homework from the previous lesson and the current lesson problem set. The document provides page numbers and examples for students to reference during classwork and homework assignments.
Module 2 lesson 5
This document outlines a lesson on subtracting integers and rational numbers. It includes examples of subtracting integers using a card game where selecting cards represents addition and discarding cards represents subtraction. The key points are that subtracting a positive integer is the same as adding its opposite, and subtracting a negative integer is the same as adding its opposite. The document provides practice problems and discussion questions to help students understand integer subtraction.
Module 3 lesson 20
This document appears to be notes from a math lesson on finding the composite area of 2D shapes. The lesson aimed to teach students to identify different shapes that make up a single area and calculate the total area. Homework assigned was 4 problems from Problem Set 20. The lesson included interactive questions to identify shapes within figures and a closing question about methods for finding composite areas.
Know your priorities
This document discusses how to manage priorities effectively. It covers focusing consistently on priorities by turning intentions into actions, overcoming barriers to achievement, committing to values and goals, and managing time, tasks and activities to boost productivity and reduce stress. Specific techniques that will be covered include mapping activities into categories of urgent/important vs not urgent/not important, and using the priority matrix to manage tasks. The overall goal is to help employees be smart and effective through better priority management.
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Module 2 lesson 15 multiplying and dividing rational numbers
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The document is from a pre-algebra lesson on graphing linear equations. It discusses re-arranging equations into slope-intercept form (y=mx+b) and explains the procedure for graphing a line when given an equation in this format. Specifically, it describes using the slope (m) to rise/run and the y-intercept (b) to locate the point where the line crosses the y-axis. The document provides examples and questions to reinforce understanding of graphing linear equations from their slope-intercept form.
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The document is notes from a pre-algebra lesson on graphing linear equations using the y=mx+b format. It includes instructions to complete problems 9 and 10 on page 48, as well as examples of graphing different linear equations by plotting points from the equation and connecting them with a line. The closing question asks students to explain the procedure for graphing a line when given an equation in y=mx+b format.
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Module 4.5 lesson 7 scale factor as a percent
This document contains notes from a math lesson on scale factor as a percent. It includes homework assignments and pages from the textbook covering topics such as calculating scale factor as a percentage and creating scale drawings with different horizontal and vertical scale factors. The closing question asks whether a scale drawing can have different horizontal and vertical scale factors and how to create one with different factors.
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This document contains notes from a lesson on linear equations that focuses on horizontal and vertical lines. It includes examples of solving linear equations by choosing to fix either the x-value or y-value. Students are given a quiz on Thursday and Friday to assess their understanding of these concepts. The document provides instructions to complete example 5 on page 22 of the lesson materials.
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The document is from a math lesson on computing actual areas from scale drawings. It provides examples of finding scale factors from drawings and using them to determine actual areas. It asks students to check if their area calculations match the examples. The lesson closes by asking students how to find an actual area given a scale drawing and a situation where this would be useful.
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3) The lesson aims to help students understand how to relate scale drawings to ratios and rates by analyzing examples of scale drawings and their relationships to original images.
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Module 3 lesson 12
- 1. Module 3 Lesson 12.notebook 1 January 16, 2015 AIM: Properties of Inequalities Do Now 1/16/15 Homework: Problem Set 12 #1-3Module 3 Lesson 12 Lesson 12 Sprint
- 2. Module 3 Lesson 12.notebook 2 January 16, 2015 4 3 2 1 0 1 2 7 9 11 13 15 5 4 2 0 1 2 3 6 18 6 35 35 35 35 35 4 4 4 4 4 7 5 3 1 1 3 1 1 1 5 1 5 Module 3 Lesson 12 Sprint Round 1
- 3. Module 3 Lesson 12.notebook 3 January 16, 2015 2 3 4 5 6 7 8 10 12 14 16 20 3 2 1 0 1 3 4 8 12 4 50 50 50 50 50 4 4 4 4 4 1/2 3/2 7/2 4 9/2 1 1 1 1 5/2 2 1 Module 3 Lesson 12 Sprint Round 2
- 4. Module 3 Lesson 12.notebook 4 January 16, 2015 1.) What numbers could you substitute for the variable in this mathematical sentence? x > 3 2.) What numbers can not be substituted for x? x > 3 is an INEQUALITY- a mathematical sentence that contains Inequalities
- 7. Module 3 Lesson 12.notebook 7 January 16, 2015 4 3> 4 + 3 > 3 + 3 1 > 6 Preserved 3 > 2 3 2 > 2 2 1 > 0 Preserved 3 4> 3 (1) > 4 (1) 2 > 3 2 5< 2 + 1 < 5 + 1 1 < 6 Preserved Preserved S.69
- 9. Module 3 Lesson 12.notebook 9 January 16, 2015 -3 < 4 -3(-1) < 4(-1) Plot the points on the number line below based on multiplying both values by -1. What is the result to the inequality symbol?
- 10. Module 3 Lesson 12.notebook 10 January 16, 2015 -3 < 4 -3(-1) < 4(-1) 3 > -4 The symbol is reversed
- 11. Module 3 Lesson 12.notebook 11 January 16, 2015 4 3> 3 > 2 3 4> 2 5< 4(1) > (3)(1) 4 < 3 Reversed Reversed Reversed 3(1) > 2(1) 3 < 2 3(1) > (4)(1) 3 < 4 2(1) < 5(1) 2 > 5 Reversed S.70
- 13. Module 3 Lesson 12.notebook 13 January 16, 2015 4 3> 3 > 2 3 4> 2 5< 4(2) > (3)(2) 8 > 6 3 > 2 2 2 1.5 > 1 3 > (4) 6 > 8 2(3) < 5(3) 6 < 15 Preserved Preserved Preserved Preserved S.71
- 15. Module 3 Lesson 12.notebook 15 January 16, 2015 4 3> 3 > 2 3 4> 2 5< 4(3) > (3)(3) 12 < 9 3 > (4) 6 < 8 2( ) < 5( ) 1 > 2.5 Reversed Reversed Reversed Reversed 3 > 2 2 2 1.5 < 1 S.72
- 16. Module 3 Lesson 12.notebook 16 January 16, 2015 Discussion To summarize, when did the inequality symbol change and when did it stay the same? Preserved Reversed 1.) Add or subtract any number 2.) Multiply or divide by a positive 1.) Multiply or divide by a negative S.73
- 17. Module 3 Lesson 12.notebook 17 January 16, 2015 4 < 7 4(-1) < 7(-1) -4 > -7
- 20. Module 3 Lesson 12.notebook 20 January 16, 2015 Closing: 1.) What does it mean for an inequality to be preserved? What does it mean for the inequality to be reversed? 2.) When does a greater than become a less than? S.74