In this exercise, students will practice finding the distance between two points on a coordinate plane. They will be given the coordinates of two points and asked to use the distance formula to calculate the distance between them. This activity will help students develop their understanding of the Pythagorean theorem and how it can be used to find the distance between two points.

Distance Between Two Points

<span style="background-color:rgb(247,247,248);color:rgb(55,65,81);font-family:Söhne, ui-sans-serif, system-ui, -apple-system, &quot;Segoe UI&quot;, Roboto, Ubuntu, Cantarell, &quot;Noto Sans&quot;, sans-serif, &quot;Helvetica Neue&quot;, Arial, &quot;Apple Color Emoji&quot;, &quot;Segoe UI Emoji&quot;, &quot;Segoe UI Symbol&quot;, &quot;Noto Color Emoji&quot;;">You will explore these properties and build upon them as you learn the different triangle theorems, which will allow you to determine the relationships between sides and angles of a triangle, calculate missing lengths and angles, and classify triangles based on their properties. By the end of this unit, you will have a deeper understanding of triangles and be able to solve a variety of geometry problems involving triangles.

<h2 style="text-align:justify;">8th Grade Course Summary&nbsp;</h2>&nbsp;In 8th grade math, students are introduced to high-value concepts and expand their knowledge of operations and execution of these concepts. Here is a brief overview of the 8th Grade Math Course:&nbsp;&nbsp;<h2><a href="https://www.bytelearn.com/math-grade-8/Exponents">Exponents</a></h2><h2><a href="https://www.bytelearn.com/math-grade-8/linear-relationships-and-functions">Linear Relationships And Functions</a></h2><h2><a href="https://www.bytelearn.com/math-grade-8/Scientific-Notation">Scientific Notation</a></h2>&nbsp;

grade 8

The 8th-grade math curriculum has been designed to help students advance mathematically, particularly in the areas of algebraic equations. They focus on three core areas; reasoning and formulating, describing and deriving relationships, and analyzing two and three-dimensional figures.&nbsp; &nbsp;Students are also taught to expand their understanding of proportional relationships. They also learn the importance of solutions and application to single linear equations. They work on various models with bivariate data and learn to make the necessary predictions. Functions open a new arena for them to learn high-value functions in high school. They continue by studying with measurement and movement of figures, lines, and angles with two and three-dimensional figures.&nbsp;

Triangle Theorems

<span style="background-color:rgb(247,247,248);color:rgb(55,65,81);font-family:Söhne, ui-sans-serif, system-ui, -apple-system, &quot;Segoe UI&quot;, Roboto, Ubuntu, Cantarell, &quot;Noto Sans&quot;, sans-serif, &quot;Helvetica Neue&quot;, Arial, &quot;Apple Color Emoji&quot;, &quot;Segoe UI Emoji&quot;, &quot;Segoe UI Symbol&quot;, &quot;Noto Color Emoji&quot;;">In this unit, you will learn about triangle theorems, which are a set of rules and concepts that help us understand the properties of triangles. Triangles are one of the most basic shapes in geometry and have unique properties such as the sum of their interior angles being 180 degrees, and the length of any two sides determining the length of the third side.&nbsp;

They will also learn how to apply these theorems to solve practical problems, such as finding the length of a missing side or angle in a triangle. The lesson includes interactive activities and opportunities for student collaboration, and assessments to ensure mastery of the concept. By the end of this lesson, students will have a solid foundation in triangle geometry that they can build upon in future math classes.

8th Grade Math Triangle Theorems Lesson Plan

This 8th grade math triangle theorems lesson plan aligns with the Common Core State Standards for Mathematics. Students will learn about the properties of triangles and the relationships between their sides and angles. The lesson begins with an introduction to basic geometric vocabularies, such as congruence, similarity, and the Pythagorean Theorem. Students will then explore the different types of triangles, including equilateral, isosceles, and scalene triangles, and the theorems that govern their properties.&nbsp;&nbsp; &nbsp;

Teachers can also assign these Triangle Theorems math practice problems to their students to assess their knowledge of this topic.

Triangle Theorems Problems is a set of exercises designed for 8th grade students in accordance with the Common Core Standards for Mathematics. These problems focus on key concepts related to triangles, including the Pythagorean Theorem, the Triangle Inequality Theorem, and the properties of special triangles such as isosceles and equilateral triangles. By practicing these problems, students can improve their understanding of these theorems and properties, and develop their proficiency in solving problems related to triangles.&nbsp;&nbsp;The problems aim to develop students' problem-solving and critical thinking skills and to enhance their ability to reason abstractly and quantitatively. Through these problems, students can deepen their knowledge of geometric concepts and develop their ability to apply them to real-world situations. Teachers can use these problems to reinforce classroom instruction, provide additional practice, and assess students' mastery of the key concepts and skills related to triangles. &nbsp;

Teachers can also assign this solving equations unit quiz to their students to assess their knowledge of this topic. &nbsp;

Triangle Theorems Quizzes is a set of assessments designed for 8th grade students in accordance with the Common Core Standards for Mathematics. These quizzes focus on key concepts related to triangles, including the Pythagorean Theorem, the Triangle Inequality Theorem, and the properties of special triangles such as isosceles and equilateral triangles. By taking these quizzes, students can improve their understanding of these theorems and properties, and develop their proficiency in solving problems related to triangles.&nbsp;&nbsp;The quizzes aim to assess students' mastery of the key concepts and skills related to triangles, and to provide feedback to teachers on areas where students may need additional support or instruction. Through these quizzes, teachers can monitor student progress, identify areas for improvement, and tailor their instruction to meet the individual needs of each student. &nbsp;

<h2>Teaching Solving Equations Easily&nbsp;</h2>&nbsp;Things to keep in mind while solving equations unit worksheet:<ul><li>Firstly, in a parenthesis, apply the distributive property in the given equation.&nbsp;</li><li>Secondly, combine all the like terms.&nbsp;</li><li>Now, collect all the like terms on one side of the equation.&nbsp;</li><li>Lastly, isolate the variable using inverse operations.&nbsp;</li></ul>Here is an example of how to solve the equation problem.Assume Tom is six years younger than Sam. After 10 years, the sum of their ages is 36. Then how old is Sam now?Step 1: Let Sam’s age be x years old. Then Tom’s age = x - 6 years. After 10 years, the sum of their ages is 36. i.e.,(x + 10) + (x - 6 + 10) = 36Step 2: Combine similar terms.2x + 14 = 36On removing 14 from both sides,The result is that 2x = 12Dividing both sides by 2,Thus, Sam's age now is 6 years old.&nbsp;<h2>Why Should You Use Solving Equation Worksheets for Your Students?&nbsp;</h2>&nbsp;<ul><li>These worksheets provide opportunities for your students to solve multi-step word problems using variables, coefficients, and constants.&nbsp;</li><li>Solving these worksheets will help students strengthen basic skills like multiplication, division, addition, subtraction, division, BODMAS, etc.</li></ul><h2>Download Solving Equation Unit Worksheet PDFs.</h2>&nbsp;You can download and print these equation worksheets in pdf here for your students. &nbsp;

Solving Equations

Solving an equation that may need more than two steps to solve for the variable.&nbsp; Generally, we use the same operation on both sides of the equation to isolate the variable. These equations involve multiple steps to get the solution. There are many ways to solve an equation. Teachers can share this amazing solving equations worksheet with their students to help them master this concept for unit tests.

Find the distance between `(``-7,9)` and `(``-2,``-3)`.<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": -7, "y": 9, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 1, "x": -2, "y": -3, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "dash": true, "line_width": 2, "dash_length": 5 } ]}'></LineGraph >

math

Find the distance between `(8,``-7)` and `(2,1)`.<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": 8, "y": -7, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 1, "x": 2, "y": 1, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "dash": true, "line_width": 2, "dash_length": 5 } ]}'></LineGraph >

Find the distance between `(0,``-2)` and `(8,``-8)`.<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": -2, "y": 0, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 1, "x": 8, "y": -8, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "dash": true, "line_width": 2, "dash_length": 5 } ]}'></LineGraph >

Find the distance between `(``-7,4)` and `(``-4,0)`.<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": -7, "y": 4, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 1, "x": -4, "y": 0, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "dash": true, "line_width": 2, "dash_length": 5 } ]}'></LineGraph >

Find the distance between `(``-6,``-7)` and `(``-1,0)`.<highlight data-color="#666" data-style="italic">Round your answer to the nearest tenth, if necessary. </highlight><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": -6, "y": -7, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 1, "x": -1, "y": 0, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "dash": true, "line_width": 2, "dash_length": 5 } ]}'></LineGraph >

Distance Between Two Points Problems

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