Mr. Morgan's Math Help

Welcome to mr. morgan's math help website.

Below are links to different textbook series, grade level curriculum and the resources that have been put together to help you be successful in math this year!

Illustrative Mathematics (6-8 OUR Mathematics)

6th Grade Resources

U1 , U2 , U3 , U4 , U5 , U6 , U7 , U8

7th Grade Resources

8th Grade Resources

Preparation for High School Algebra or Integrated Math 1

University High School Summer Bridge Course

High School Illustrative M athematics - McGra w Hill, Kendall Hunt, Imagine Learning, Learn Zillion)

Algebra 1 Resources

U1 , U2, U3, U4, U5, U6, U7

OPEN UP RESOURCES Mathematics - OUR

OUR - Algebra 1 Resources

U1 , U2 , U3, U4, U5, U6, U7, U8, U9

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  • 8th Grade Math

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QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

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  • The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
  • The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
  • The calculus section will carry out differentiation as well as definite and indefinite integration.
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math 7 2 3 homework help morgan

Mr. morgan's math help.

Welcome to mr. morgan's math help website.

Below are links to different textbook series, grade level curriculum and the resources that have been put together to help you be successful in math this year!

Illustrative Mathematics (6-8 OUR Mathematics)

6th Grade Resources

U1 , U2 , U3 , U4 , U5 , U6 , U7 , U8

7th Grade Resources

8th Grade Resources

Preparation for High School Algebra or Integrated Math 1

University High School Summer Bridge Course

High School Illustrative M athematics - McGra w Hill, Kendall Hunt, Imagine Learning, Learn Zillion)

Algebra 1 Resources

U1 , U2, U3, U4, U5, U6, U7

OPEN UP RESOURCES Mathematics - OUR

OUR - Algebra 1 Resources

U1 , U2 , U3, U4, U5, U6, U7, U8, U9

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Alta Sierra Intermediate

  • Math 7 Unit 2

Math 7 Unit 2 - Illustrative Mathematics Online Resources

1 – One of These Things is Not Like the Others

     

2 – Introducing Proportional Relationships with Tables

 

 

3 – More about Constant of Proportionality

 

4 – Proportional Relationships and Equations

 

 

 

 

 

 

5 – Two Equations for Each Relationship

 

6 – Using Equations to Solve Problems

 

 

 

7 – Comparing Relationships with Tables

 

 

 

 

 

8 – Comparing Relationships with Equations

     

9 – Solving Problems about Proportional Relationships

 

10 – Introducing Graphs of Proportional Relationships

 

11 – Interpreting Graphs of Proportional Relationships

 

 

 

12 – Using Graphs to Compare Relationships

 

13 – Two Graphs for Each Relationship

 

 

 

14 – Four Representations

     

15 – Using Water Efficiently

       

Unit 2 Review

   

   
  • Math 7 Unit 1
  • Math 7 Unit 3
  • Math 7 Unit 4
  • Math 7 Unit 5
  • Math 7 Unit 6
  • Math 7 Unit 7
  • Math 7 Unit 8

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Download on App Store

  • Solve equations and inequalities
  • Simplify expressions
  • Factor polynomials
  • Graph equations and inequalities
  • Advanced solvers
  • All solvers
  • Arithmetics
  • Determinant
  • Percentages
  • Scientific Notation
  • Inequalities

Download on App Store

What can QuickMath do?

QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

  • The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
  • The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
  • The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
  • The calculus section will carry out differentiation as well as definite and indefinite integration.
  • The matrices section contains commands for the arithmetic manipulation of matrices.
  • The graphs section contains commands for plotting equations and inequalities.
  • The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.

Math Topics

More solvers.

  • Add Fractions
  • Simplify Fractions

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Master Math 7 with Morgan's Homework Help

Updated on Dec 26,2023

Master Math 7 with Morgan's Homework Help

Table of Contents :

Introduction

Understanding scale factor.

  • Multiplying Lengths by Scale Factor
  • Drawing Scaled Copies on GRID Paper

Adding versus Multiplying in Scale Copy

Example 1: adding vs multiplying, example 2: adding gaps in scaled copies, example 3: multiplying for scaled copies.

  • The Difference between Multiplying and Adding
  • Understanding the Scale Factor
  • Why Adding Units Does Not Work
  • Multiplying Units for Scaled Copies

Example 1: 3-4-5 Triangle

Example 2: equilateral triangle, using patty paper for accuracy, scale factors for enlargement and reduction, understanding perimeter in scaled copies, finding the scale factor from perimeter, making scaled copies: understanding scale factor and creating accurate scaled copies.

In the field of mathematics, the concept of scale and proportion plays a crucial role. When it comes to creating scaled copies of shapes and figures, it becomes essential to understand scale factor and its implications. In this article, we will Delve into the process of making scaled copies, examine the relationship between scale factor and proportion, and explore different techniques for accurately drawing scaled copies on grid paper. By the end of this article, You will have a firm grasp on the intricacies of creating scaled copies and be armed with the knowledge to tackle a variety of mathematical scenarios.

Before delving into the process of creating scaled copies, let's first establish what scale factor means and its significance in the realm of geometry. Scale factor can be defined as the ratio of the lengths of corresponding sides of two similar shapes. It describes the relationship between the original object and its scaled copy. In simple terms, scale factor determines how much the Dimensions of a Shape need to be increased or decreased to Create an accurate copy.

To create scaled copies, one must master the skill of multiplying lengths by the scale factor. By multiplying each length of a shape by the scale factor, the dimensions of the scaled copy can be determined. For instance, if the scale factor is 2, it means that each length in the original shape must be multiplied by 2 to obtain the corresponding length in the scaled copy.

Creating Scaled Copies

Drawing scaled copies requires Attention to Detail and precision. To ensure accurate representations, it is often helpful to use grid paper. Grid paper provides a structured framework that aids in maintaining the proportions of the original shape. By following a step-by-step process, one can successfully create scaled copies that closely Resemble their originals.

To begin, place the shape on the grid paper and Outline its boundaries. Next, multiply each length of the shape by the scale factor. For example, if a length is 3 units and the scale factor is 2, the corresponding length in the scaled copy will be 6 units. Repeat this process for all lengths of the shape. Connect the corresponding points to complete the scaled copy.

Drawing Scaled Copies on Grid Paper

Grid paper proves to be a valuable tool when faced with the challenge of drawing scaled copies. Its defined lines aid in maintaining accuracy and proportionality. By following the step-by-step process outlined earlier, one can create scaled copies that are true to the original shape.

In the realm of mathematics, the distinction between addition and multiplication plays a critical role in determining the feasibility of creating scaled copies. Addition may seem like a viable option at first glance, but it falls short in accurately replicating the proportions of the original shape. Multiplication, on the other HAND , proves to be the appropriate operation for achieving accurate scaled copies.

Examples of Adding and Multiplying

To illustrate the disparity between adding and multiplying in creating scaled copies, let's examine a few examples.

Consider two individuals, Diego and Jayden, attempting to create scaled copies of the same shape. Diego opts for adding while Jayden chooses multiplication. Diego subtracts 10 units from each length, hoping to create an accurate scaled copy. However, due to the inherent differences between adding and multiplying, Diego's copy presents a noticeable gap, indicating a lack of accuracy. Jayden, on the other hand, multiplies each length by a third, accurately replicating the proportions of the original shape. Jayden's copy emerges as a true scaled copy, reinforcing the importance of multiplication over addition.

Andre ponders whether adding four units to the lengths of all segments would result in a scaled copy. However, upon closer examination, it becomes evident that the addition operation does not facilitate accurate scaling. While adding four units may increase the overall size of the figure, it fails to maintain the proportional relationships between the lengths. This observation highlights the necessity of multiplication in creating scaled copies.

Consider a triangle, Triangle A, with side lengths of 6, 9, 9, and 12 units. Tim claims that Triangle B, with side lengths of 2, 3, 3, and 4 units, is a scaled copy of Triangle A. To verify this claim, we must analyze the scale factor between the two triangles. By comparing the corresponding side lengths, we can ascertain whether multiplication or addition was involved in creating the scaled copy. It turns out that Triangle B is indeed a scaled copy with a scale factor of a third, reinforcing the significance of multiplication in accurately replicating shapes.

Can Different Operations be Used for Scale Copies?

As we have established, multiplication is the preferred operation when creating scaled copies. Attempting to use addition to determine scale copies would yield inaccurate results. This distinction between the two operations is pivotal in understanding the intricacies of creating scaled copies.

Andre's Question on Adding Units for Scaled Copies

Andre raises an interesting query regarding whether adding four units to the lengths of all segments would result in a scaled copy. While it may seem logical to assume that adding units would facilitate scaling, this assumption is erroneous. The key lies in recognizing that scaling requires multiplication, not addition. By multiplying the lengths, the proportionality of the shape can be accurately maintained. Addition, however, disrupts the proportionality, leading to distorted scaled copies. Therefore, Andre's Notion of adding units is not viable for creating accurate scaled copies.

Exploring Different Types of Triangles for Scaled Copies

Different types of triangles pose unique challenges and considerations when creating scaled copies. Let's examine two examples to gain a deeper understanding.

A 3-4-5 triangle serves as an excellent example to highlight the implications of scale factor. In this triangle, the ratio of the side lengths is 3:4:5. When creating a scaled copy, it is crucial to maintain this ratio.

Equilateral triangles present another fascinating Scenario . With equal side lengths, the scale factor remains uniform across the shape. Maintaining proportionality is relatively straightforward, as each length must be multiplied by the scale factor.

Creating Scaled Copies of Polygons

Creating scaled copies of polygons requires meticulous attention to detail and accuracy. Utilizing tools such as patty paper can enhance precision during the process. By employing a step-by-step approach and multiplying each length by the scale factor, one can successfully generate scaled copies that accurately replicate the original shape.

Patty paper proves to be a valuable aid in ensuring accuracy during the creation of scaled copies. By tracing the original shape onto the patty paper, one can work on determining and multiplying the lengths according to the scale factor. This meticulous approach guarantees the creation of precise scaled copies.

Scale factors play a crucial role in determining whether a scaled copy is a reduction or an enlargement. By analyzing the scale factor, one can identify the magnitude of the change in size. For example, a scale factor greater than 1 indicates an enlargement, while a scale factor less than 1 signifies a reduction in size.

Perimeter of Scaled Copies

Determining the perimeter of scaled copies involves understanding the relationship between the scale factor and the original perimeter. Multiplying the original perimeter by the scale factor provides the new perimeter. By grasping this concept, one can accurately calculate the perimeter of scaled copies.

The perimeter of a shape refers to the sum of all its sides. In the Context of scaled copies, multiplying the perimeter of the original shape by the scale factor yields the new perimeter of the scaled copy. This relationship between scale factor and perimeter is crucial in accurately determining the proportions of scaled copies.

When provided with the perimeter of a scaled copy and asked to determine the scale factor, one must reverse engineer the process. By dividing the perimeter of the scaled copy by the perimeter of the original shape, one can ascertain the scale factor. This approach helps in understanding the relationship between scale factor and perimeter.

Creating scaled copies requires a comprehensive understanding of scale factor and its implications on shape proportions. By multiplying each length of an original shape by the scale factor, accurate scaled copies can be generated. Understanding the distinction between adding and multiplying is essential in maintaining proportionality. Additionally, examining the angle measurements and the Type of shape aids in creating precise scaled copies. With the knowledge gained from this article, you are equipped to confidently embark on the Journey of making scaled copies, unlocking new possibilities in the realm of geometry.

Highlights:

  • Understanding scale factor and its role in creating accurate scaled copies.
  • Using grid paper to maintain proportionality and precision in drawing scaled copies.
  • The distinction between adding and multiplying in the context of scaling shapes.
  • Examples illustrating the implications of adding and multiplying in scaled copies.
  • Exploring different types of triangles and the implications for scaled copies.
  • Utilizing patty paper and meticulous measurements in creating precise scaled copies of polygons.
  • Determining the perimeter and finding the scale factor in scaled copies.

Q: What is a scale factor?

A: A scale factor is the ratio of the lengths of corresponding sides of two similar shapes. It determines how much the dimensions of a shape need to be increased or decreased to create an accurate copy.

Q: Can addition be used to create scaled copies?

A: No, addition is not suitable for creating accurate scaled copies. Multiplication is the preferred operation as it maintains the proportionality of the original shape.

Q: How can grid paper help in drawing scaled copies?

A: Grid paper provides a structured framework that aids in maintaining accuracy and proportionality when creating scaled copies. It helps ensure the correct placement of points and the consistency of lengths.

Q: What should be considered when making scaled copies of polygons?

A: When making scaled copies of polygons, it is crucial to determine the scale factor and multiply each length accordingly. The use of patty paper can increase accuracy and precision in the process.

Q: How can the perimeter of scaled copies be determined?

A: The perimeter of a scaled copy can be calculated by multiplying the scale factor by the perimeter of the original shape. This relationship allows for accurate determination of the proportions in scaled copies.

The above is a brief introduction to Master Math 7 with Morgan's Homework Help

Let's move on to the first section of Master Math 7 with Morgan's Homework Help

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Illustrative Mathematics Grade 7 Open Up Resources OURUnit 2 Lesson 3More resources available at: mathhelp.cusd.com

Welcome to Mr. Morgan's Math Help Website! Below are links to different textbook series, grade level curriculum and the resources that have been put together to help you be successful in math this year! Illustrative Mathematics (6-8 OUR Mathematics) 6th Grade Resources. U1, U2, U3, U4, U5, U6, U7, U8. 7th Grade Resources.

Brainly provides step-by-step explanations for homework and study questions, including expert-verified solutions. And with both desktop and mobile versions, you can find math homework help online on Brainly anytime and anywhere. Get math homework help 24/7. Post your math homework questions and get expert-verified answers fast!

7.7.10 Morgan. Lesson 11 - Slicing Solids. Lesson 11. Slicing a rectangular pyramid. Cross sections of 3D objects (basic) 7.7.11 Morgan. Lesson 12 - Volume of Right Prisms. Lesson 12. Volume of triangular prism and cube . 7.7.12 Morgan. Lesson 13 - Decomposing Bases for Area. Lesson 13 . 7.7.13 Morgan. Lesson 14 - Surface Area of Right ...

Free math problem solver answers your algebra homework questions with step-by-step explanations. Mathway. Visit Mathway on the web. Start 7-day free trial on the app. Start 7-day free trial on the app. Download free on Amazon. Download free in Windows Store. Take a photo of your math problem on the app.

Solving Problems with Proportional Relationships 3.1 Identifying the Information Needed 3.2 Asking the Right Questions 3.3 Using Data Cards and Problem Cards 3.4 Collaborative Problem Solving; Application of Proportional Relationships 4.1 Weight of a Stack of Paper 4.2 Stack of Books of Different Sizes

When we analyze the values, we find that the ratios of circumference to diameter are consistent. For example, the mug has a ratio of approximately 3.09 (32/9.9), the quarter has a ratio of around 3.13 (7.2/2.3), and the megaphone has a ratio of about 3.07 (60/19.5). These ratios are all quite close, indicating a proportional relationship.

Using Equations to Solve Problems 2.1 Organizing and Ordering Values 2.2 Dividing Numbers 2.3 Solving Equations for Price 2.4 Solving Equations for Number of Tickets Sold; Recycling Aluminum Cans 3.1 Weight and Value of Aluminum Cans 3.2 Proportional Relationship and Unit Rate 3.3 Solving Equations for Number of Cans and Value

Illustrative Mathematics Grade 7 Open Up Resources OURUnit 3 Lesson 2More resources available at: mathhelp.cusd.com

Illustrative Mathematics Grade 7 Open Up Resources OURUnit 3 Lesson 3More resources available at: mathhelp.cusd.com

Homework Help. 1 - One of These Things is Not Like the Others. Lesson 1 : 7.2.1 Morgan. 2 - Introducing Proportional Relationships with Tables. Lesson 2 : Proportional Relationships : 7.2.2 Morgan. 3 - More about Constant of Proportionality. Lesson 3. Constant of Proportionality from Tables. Constant of Proportionality from Tables : 7.2.3 ...

These videos were created to support both students and teachers with the OUR (Open Up Resources) Mathematics curriculum. Initially, the full lessons were created as a resource for teachers when ...

Homework Help on English, math, history, geography, science, and social studies.Does your child need occasional homework help? ... Wednesday, August 23, 2017. Math 2 Unit 3 7 Homework Help Morgan Math 2 Unit 3 7 Homework Help Morgan Posted by Colleen Shepherd at 5:48 AM. Email This BlogThis! Share to Twitter Share to Facebook Share to Pinterest ...

Mr. Morgan's Math Help. Welcome to mr. morgan's math help website. Below are links to different textbook series, grade level curriculum and the resources that have been put togeth

For example, by measuring the diagonal length of square A, we obtain a value of 3 centimeters, while the length of one side measures 2.2 centimeters. Similarly, for square D, the diagonal length is 2.3 centimeters, and the side length measures 1.6 centimeters.

2 Wednesday 6/3/20 Lesson 7 - Practice with Rational Bases Lesson 7 Complete 1-2 8.7.7 Morgan 8 7 7 CUSD Homework Help - Morgan Thursday Lesson 8 6/4/20 - Combining Bases Lesson 8 Complete 1-4 8.7.8 Morgan 8 7 8 CUSD Homework Help - Morgan 🎥Exponent properties with parentheses 📝Powers of products and quotients 📝Quiz 1 Friday Lesson ...

Open Up Resources Illustrative Mathematics Grade 7 OURUnit 3 Lesson 1More resources available at: mathhelp.cusd.com

QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and ...

add the number of servings of fruits and vegetables together and then multiply by 7 7 because there are days in a week, and I ⿤ 11 − ⿤ 11+ 77vv= 堨ᢦ33−⿤ 11 77 ( 22+ vv) =堨ᢦ33 ⿤ 11 + 77vv=堨ᢦ33. ts in a week,can堨ᢦmultiply by the multiplicativeLiam eats servings of vegetables.

Tim claims that Triangle B, with side lengths of 2, 3, 3, and 4 units, is a scaled copy of Triangle A. To verify this claim, we must analyze the scale factor between the two triangles. By comparing the corresponding side lengths, we can asce R.Ai n whether multiplication or addition was involved in creating the scaled copy.

Multiply the numbers 3,172 and 5 together: 3,172 ×5 = 15,860 Multiply the numbers 3,172 and 5 together: 3,172 ×5 = 15,860

Homework Help on English, math, history, geography, science, and social studies.Does your child need occasional homework help? ... Math 2 Unit 7 WS 3 Homework Help Morgan Math 2 Unit 7 WS 3 Homework Help Morgan Pearson Built-in Arithmetic Math 2 Unit 7 Trigonometry Ratios. Posted by Colleen Shepherd at 11:42 PM. Email This BlogThis! Share to ...

©2015 Great Minds. eureka-math.org 7 G3-M7-TE-1.3.1-01.2016. Lesson 2 Homework 3 7 4. Monica scored 32 points for her team at the Science Bowl. She got 5 four-point questions correct , and ... Use a ruler and a right angle tool to help you draw the figures with the given attributes below. 1. Draw a triangle that has no right angles.

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Alta Sierra Intermediate

  • Math 8 Unit 2

Math 8 Unit 2: Illustrative Mathematics Online Resources

Lesson 1 - Projecting and Scaling

     

Lesson 2 – Circular Grid

     

Lesson 3 – Dilations with no Grid

     

Lesson 4 – Dilations on a Square Grid

 

 

 

 

 

 

Lesson 5 – More Dilations

     

Lesson 6 – Similarity

 

Lesson 7 – Similar Polygons

 

 

 

Lesson 8 – Similar Triangles

     

Lesson 9 – Side Length Quotients in Similar Triangles

 

Lesson 10 – Meet Slope

   

Lesson 11 – Writing Equations for Lines

     

Lesson 12 – Using Equations for Lines

     

Lesson 13 – The Shadow Knows

     

Unit 2 Review

   

   
  • Math 8 Unit 1
  • Math 8 Unit 3
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  • Math 8 Unit 6
  • Math 8 Unit 7
  • Math 8 Unit 8

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  1. Math 8 3 2 Homework Help Morgan

    Illustrative Mathematics Grade 8 Open Up Resources OURUnit 3 Lesson 2More resources available at: mathhelp.cusd.com

  2. Mr. Morgan's Math Help

    Welcome to Mr. Morgan's Math Help Website! Below are links to different textbook series, grade level curriculum and the resources that have been put together to help you be successful in math this year! Illustrative Mathematics (6-8 OUR Mathematics) 6th Grade Resources. U1, U2, U3, U4, U5, U6, U7, U8. 7th Grade Resources.

  3. Math Homework Help & Answers

    Brainly provides step-by-step explanations for homework and study questions, including expert-verified solutions. And with both desktop and mobile versions, you can find math homework help online on Brainly anytime and anywhere. Get math homework help 24/7. Post your math homework questions and get expert-verified answers fast!

  4. Math 8 Unit 5

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  5. Math 8 Unit 3

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  19. a) Bestimme alle Lösungen der Gleichung \[ z^{5}-z^{3}+8 i z^{2}-8 i=0 \]

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