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## Representing Proportional Relationships in Different Ways (2 Day Lesson)

Patrick's Day. Valentine's Day. All 'Math'. Algebra 2. Applied Math. Basic Operations. Math Test Prep. Mental Math. Order of Operations.For part of her homework, Celia measured the angles and the lengths of.

Angle Relationships: Exercises: p. Practice Test:. Angles Worksheets for Practice and Study. The angles are supplementary. Solutions in Geometry Volume 2. Homework and Practice: p. Hotmath Homework Help Math. Online Calculators Study to Go. Chapter 10, Lesson 1: Line and Angle. Lesson 3 Homework Practice.

What is the third angle of a right triangle if one of the angles measures What's the Difference between Parallel and Perpendicular Lines?

Identifying Perpendicular Lines Worksheet 1 - Hawk out those right angles. Homework Chapter 11, Lesson 1: Angle and Line. Practice Your Skills with Answers. Lesson 2. Practice A Line and Angle Relationships 1.

Draw a pair of parallel lines.

### 8th grade (Illustrative Mathematics)

Draw a pair of perpendicular lines. Tell whether each statement is true or false. The measures of angles A and B are.

Measure anglesfind missing anglesright anglesmuch more!. Lesson 8. A line drawn through the points would not go. Lesson 4 Homework Practice. Lesson 6 Homework Practice. Write an equation in point-slope form and slope-intercept form for each line. Lesson 5 Homework Practice. On-line Practice: Homework: Applying the Angle Bisector Theorem. TVO Homework Help. Descriptive Geometry 1 Monge's Procedure to find a line segment in a principle.

Practice and Homework Lesson 9. Practice B Parallel and Perpendicular Lines. Name all angles congruent to 1. Angles and Polygons Measuring Angles. Lesson 4. Write a two-column proof that the sum of the angle measures of a quadrilateral.If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Donate Login Sign up Search for courses, skills, and videos. Course summary. Unit 1: Rigid transformations and congruence. Lesson 3: Grid moves : Unit 1: Rigid transformations and congruence Lesson 5: Coordinate moves : Unit 1: Rigid transformations and congruence Lesson 6: Describing transformations : Unit 1: Rigid transformations and congruence Lesson 7: No bending or stretching : Unit 1: Rigid transformations and congruence. Extra practice: Transformations : Unit 1: Rigid transformations and congruence Lesson Congruent polygons : Unit 1: Rigid transformations and congruence Lesson Alternate interior angles : Unit 1: Rigid transformations and congruence Lesson Adding the angles in a triangle : Unit 1: Rigid transformations and congruence Lesson Parallel lines and the angles in a triangle : Unit 1: Rigid transformations and congruence.

Unit 2: Dilations, similarity, and introducing slope. Lesson 4: Dilations on a square grid : Unit 2: Dilations, similarity, and introducing slope Lesson 6: Similarity : Unit 2: Dilations, similarity, and introducing slope Lesson 7: Similar polygons : Unit 2: Dilations, similarity, and introducing slope. Extra practice: Dilations : Unit 2: Dilations, similarity, and introducing slope Lesson 9: Side lengths quotients in similar triangles : Unit 2: Dilations, similarity, and introducing slope Lesson Meet slope : Unit 2: Dilations, similarity, and introducing slope.

Unit 3: Linear relationships.

Unit 4: Linear equations and linear systems. Lesson 3: Balanced moves : Unit 4: Linear equations and linear systems Lesson 4: More balanced moves : Unit 4: Linear equations and linear systems Lesson 5: Solving any linear equation : Unit 4: Linear equations and linear systems Lesson 6: Strategic solving : Unit 4: Linear equations and linear systems Extra practice: Linear equations : Unit 4: Linear equations and linear systems Lesson 7: All, some, or no solutions : Unit 4: Linear equations and linear systems.

Lesson 8: How many solutions? Unit 5: Functions and volume. Unit 6: Associations in data. Lesson 6: The slope of a fitted line : Unit 6: Associations in data Extra practice: Linear models : Unit 6: Associations in data Lesson 7: Observing more patterns in scatter plots : Unit 6: Associations in data Lesson 9: Looking for associations : Unit 6: Associations in data Lesson Using data displays to find associations : Unit 6: Associations in data.

Unit 7: Exponents and scientific notation. Lesson 4: Dividing powers of 10 : Unit 7: Exponents and scientific notation Lesson 6: What about other bases?

Lesson Applications of arithmetic with powers of 10 : Unit 7: Exponents and scientific notation Lesson Definition of scientific notation : Unit 7: Exponents and scientific notation Lesson Multiplying, dividing, and estimating with scientific notation : Unit 7: Exponents and scientific notation Lesson Adding and subtracting with scientific notation : Unit 7: Exponents and scientific notation.

Unit 8: Pythagorean theorem and irrational numbers. Lesson 2: Side lengths and areas : Unit 8: Pythagorean theorem and irrational numbers Lesson 3: Rational and irrational numbers : Unit 8: Pythagorean theorem and irrational numbers Lesson 4: Square roots on the number line : Unit 8: Pythagorean theorem and irrational numbers Lesson 5: Reasoning about square roots : Unit 8: Pythagorean theorem and irrational numbers Extra practice: Irrational numbers : Unit 8: Pythagorean theorem and irrational numbers Lesson 6: Finding side lengths of triangles : Unit 8: Pythagorean theorem and irrational numbers Lesson 7: A proof of the Pythagorean Theorem : Unit 8: Pythagorean theorem and irrational numbers Lesson 8: Finding unknown side lengths : Unit 8: Pythagorean theorem and irrational numbers.

Lesson 9: The converse : Unit 8: Pythagorean theorem and irrational numbers Lesson Applications of the Pythagorean Theorem : Unit 8: Pythagorean theorem and irrational numbers Extra practice: Pythagorean theorem : Unit 8: Pythagorean theorem and irrational numbers Lesson Finding distance in the coordinate plane : Unit 8: Pythagorean theorem and irrational numbers Lesson Edge lengths and volumes : Unit 8: Pythagorean theorem and irrational numbers Extra practice: Square roots and cube roots : Unit 8: Pythagorean theorem and irrational numbers Lesson Decimal representations of rational numbers : Unit 8: Pythagorean theorem and irrational numbers Lesson Infinite decimal expansions : Unit 8: Pythagorean theorem and irrational numbers.

Course challenge. Community questions.Understanding Positive and Negative Integers - Lesson 3. Compare and Order Integers - Lesson 3. Rational Numbers and the Number Line - Lesson 3.

Compare and Order Rational Numbers - Lesson 3. Absolute Value - Lesson 3. Compare Absolute Value - Lesson 3. Rational Numbers and the Coordinate Plane - Lesson 3. Ordered Pair Relationships - Lesson 3. Distance on the Coordinate Plane - Lesson 3.

Solutions of Equations - Lesson 8. Writing Equations - Lesson 8. Model and Solve Addition Equations - Lesson 8. Area of Parallelograms - Lesson Area of Triangles - Lesson Explore Area of Trapezoids - Lesson Area of Trapezoids - Lesson Area of Regular Polygons - Lesson Divide Multi-Digit Numbers - Lesson 1. Prime Factorization - Lesson 1.

Add and Subtract Decimals - Lesson 1. Multiply Decimals - Lesson 1. Divide Decimals by Whole Numbers - Lesson 1. Divide with Decimals - Lesson 1. Chapter 1 Review for Test.

**Taking Notes: Crash Course Study Skills #1**

Exponents - Lesson 7. Evaluating Expressions Involving Exponents - Lesson 7. Write Algebraic Expressions - Lesson 7. Identify Parts of Expressions - Lesson 7. Evaluate Algebraic Expressions and Formulas - Lesson 7. Use Algebraic Expressions - Lesson 7. Generate Equivalent Expressions - Lesson 7. Identify Equivalent Expressions - Lesson 7.To start off this lesson, I will engage students in an opening exercise. In this exercise, a word problem will be presented to the class. As a group of 4 or 5 students, the students will solve this problem in a specific manner assigned by me.

There will be six groups in the classroom set up according to ability to ensure that everyone participates. In other words, no one student should be relying on the ability of another, this should be a collaborative effort. The manner in which the groups will solve this problem is as follows:. The groups will be given 4 minutes to solve the problem and present it on chart paper. Once a group is finished with their problem, they will post their solution on a designated wall in the classroom.

Students will take 3 minutes to do a gallery walk to see the different ways the same problem was solved in different ways. During this gallery walk, students should be making notations of anything that they may have a question about, anything they notice, or any discussion points that they would like to bring up during the instructional piece.

During the instructional part of this lesson, I am looking for students to be able to demonstrate their understanding that there are many ways that a ratio relationship can be represented. During this time, the students should also realize the relationship between the different representations of the ratio presented.

In addition, students should not only be able to understand the representations but also apply those representations to a real world scenario demonstrating fluency in using the multiple representations of ratio relationships. To begin the instructional part of this lesson, I will have each of the groups present their solution to the problem presented in the opening exercise.

Recall that each group had to solve their problem in a different manner from the other groups. As each group is presenting, I will facilitate discussion pertaining to how the solution is representative of the problem that was solved, as well as the concept of ratio and ratio relationships. It is at this time that the students who made notations about each type of solution will be able to voice what they have noted so that it can be addressed at this time.

In reference to their notations, I am hoping to see where students may have caught mistakes, noticed relationships between the solutions, or have specific questions about how the solution method in question works. Once all groups have presented, I will then encourage students to discuss, as a class, the relationships they see between each solution method. During the Try-It-Out portion of this lesson, we will focus on applying the concept of ratio to a real world satiation.

To do this, I will present the students with a pattern of circles and triangles. Based upon what they know, the students will need to complete the following tasks:. I will guide the students through these tasks one by one. Upon completion, I will ask three students to share their words problems. While they are sharing, I will ask them questions to reveal their thinking as they completed the task. The students will explore the different ways to represent ratio relationships by creating a poster that displays all the different ways that they have learned to solve a problem that involves a ratio relationship.

To do this, I will pass out pattern blocks to each of my students. The students will choose two colors out of the pattern blocks. Then, they will create a pattern using the blocks. Using their own pattern, they will create an eight pane poster that will contain the following elements. My students will need to ensure that they have a proper representation of each of the elements indicated in the diagram above.English Language Arts. Solve multi-step ratio and rate problems using proportional reasoning, including fractional price increase and decrease, commissions, and fees.

Ratios and Proportional Relationships 7. C â€” Represent proportional relationships by equations. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. A repair technician replaces cracked screens on phones. He can replace 5 screens in 3 hours.

A train traveling from Boston to New York moves at a constant speed. The train covers miles in 3. Write an equation that represents this relationship. Explain what your equation tells you about the train. The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.

The 7th graders at Wilson Middle School are taking a field trip to the science museum. Group Created with Sketch. About Us Our Approach. Our Team. Our Blog. Teacher Tools. Search Icon Created with Sketch. Join Now. All Lessons Hamburger Created with Sketch. Unit 1: Proportional Relationships. Solve ratio and rate problems using double number lines, tables, and unit rate.

### Proportional Relationships

Represent proportional relationships in tables, and define the constant of proportionality. Determine the constant of proportionality in tables, and use it to find missing values. Write equations for proportional relationships presented in tables.

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