# Math 8 unit 3

In Module 4, students extend what they already know about unit rates and proportional relationships to linear equations and their graphs.

Students understand the connections between proportional relationships, lines, and linear equations in this module. Students learn to apply the skills they acquired in Grades 6 and 7, with respect to symbolic notation and properties of equality to transcribe and solve equations in one variable and then in two variables.

The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials. Resources may contain links to sites external to the EngageNY. Skip to main content. Find More Curriculum Print. Grade 8 Mathematics. Grade 8 Mathematics Module 4. Grade 8 Module 4: Linear Equations In Module 4, students extend what they already know about unit rates and proportional relationships to linear equations and their graphs. The student materials consist of the student pages for each lesson in Module 4. Like Grade 8 Mathematics Module 4: Teacher Materials Compare two Curriculum Map Toggle Module 1 Module 1. Lesson 1. Lesson 2. Lesson 3. Lesson 4. Lesson 5. Lesson 6. Lesson 7. Lesson 8. Lesson 9. Lesson Toggle Module 2 Module 2. Toggle Module 3 Module 3. Toggle Module 5 Module 5. Toggle Module 6 Module 6. Toggle Module 7 Module 7. View PDF. Grade 8 Mathematics Module 4: Student Materials 3.

Negative exponents : Numbers and operations Exponent properties integer exponents : Numbers and operations Working with powers of 10 : Numbers and operations Scientific notation intro : Numbers and operations Arithmetic with numbers in scientific notation : Numbers and operations Scientific notation word problems : Numbers and operations.

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Solving equations with one unknown. Equations with variables on both sides : Solving equations with one unknown Equations with parentheses : Solving equations with one unknown Number of solutions to equations : Solving equations with one unknown. Equations word problems : Solving equations with one unknown. Linear equations and functions. Graphing proportional relationships : Linear equations and functions Solutions to linear equations : Linear equations and functions Intercepts : Linear equations and functions Slope : Linear equations and functions Intro to slope-intercept form : Linear equations and functions Graphing slope-intercept form : Linear equations and functions. Writing slope-intercept equations : Linear equations and functions Functions : Linear equations and functions Linear models : Linear equations and functions Comparing linear functions : Linear equations and functions Constructing linear models for real-world relationships : Linear equations and functions Recognizing functions : Linear equations and functions Linear and nonlinear functions : Linear equations and functions.

Systems of equations. Intro to systems of equations : Systems of equations Systems of equations with graphing : Systems of equations Solving systems with substitution : Systems of equations. Number of solutions to systems of equations : Systems of equations Systems of equations word problems : Systems of equations. Angles between intersecting lines : Geometry Triangle angles : Geometry Pythagorean theorem : Geometry.

Pythagorean theorem application : Geometry Pythagorean theorem and distance between points : Geometry Pythagorean theorem proofs : Geometry Volume : Geometry. Geometric transformations. Transformations intro : Geometric transformations Translations : Geometric transformations Rotations : Geometric transformations. Data and modeling. Introduction to scatter plots : Data and modeling Interpreting scatter plots : Data and modeling Estimating lines of best fit : Data and modeling.

Two-way tables : Data and modeling. Course challenge. Review articles. Classifying numbers review Irrational numbers. Exponent properties with quotients review Laws of exponents with examples. Negative exponents review Negative exponents.

Writing repeating decimals as fractions review Repeating decimals. Get Started Repeating decimals. Community questions.In this course students increase their ability to use algebra to solve problems, including the solution of equations with variables on both sides.

Extensive work is done in geometry to understand rigid motions, dilations, and their connections to congruent figures, symmetry, and similarity. The equation of a line in the coordinate plane is developed from work with proportional relationships and unit rates. Linear functions are used to model a variety of real-world scenarios.

### Open Up Units

Systems of linear equations are solved graphically, by substitution, and by simple addition. More advanced topics in algebra, such as negative exponents, roots, and solving simple quadratic equations are learned and applied, especially with the Pythagorean Theorem and with scientific notation. Geometric modeling is done with circles, cones, and spheres as well as other solids.

Topics include the area formula for a circle and the volume formula for cones and spheres. Thank you for using eMath Instruction materials. In order to continue to provide high quality mathematics resources to you and your students we respectfully request that you do not post this or any of our files on any website.

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Teachers Only Sorry, the content you are trying to access requires verification that you are a mathematics teacher. Complete Verification.Figures A, B, C, and D show the result of simplifying the hanger in Figure A by removing equal weights from each side.

Expand Image. Left side, 1 square, 3 triangles, 1 square, 3 triangles, 2 circles. Right side, 2 circles, 4 squares, 2 triangles. Left side, 1 square, 3 triangles, 1 square, 3 triangles. Right side, 4 squares, 2 triangles. Left side, 1 square, 3 triangles, Right side, 2 squares, 1 triangle.

Left side, 2 triangles. Right side, 1 square. Your teacher will give you some cards. Each of the cards A through E describe a move that turns one equation into another. In a cryptarithmetic puzzle, the digits 0—9 are represented with letters of the alphabet.

An equation tells us that two expressions have equal value. Earlier, we used hangers to understand that if we add the same positive number to each side of the equation, the sides will still have equal value. It also works if we add negative numbers! For example, we can add -9 to each side of the equation. Since expressions represent numbers, we can also add expressions to each side of an equation. If we multiply or divide the expressions on each side of an equation by the same number, we will also maintain the equality so long as we do not divide by zero.

Professional Learning Contact Us. Lesson 3 Balanced Moves Let's rewrite equations while keeping the same solutions. Lesson Practice. One of the letter cards will not have a match. For this card, write two equations showing the described move. Do you agree with either of them? Are you ready for more? We will use these moves in systematic ways to solve equations in future lessons.This is the answer key to writing equations from ordered pairs from class on Friday February 15th. Spring Ave. Skip to Main Content.

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Unit 4 Test — Thurs. Test Review. Review: joinmyquiz. Linear vs. Pythagorean Theorem and Volume. Test Review Answer Sheet. In-Class Review with Answers. We estimate to the nearest tenth instead. Squares, Cubes, and Number System. Quiz — Wed. Unit 2B Test — Thursday, Nov. Properties of Exponents Practice. Scientific Notation Practice.

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The quiz is over Exponents. Formative Assessment Wednesday, Oct. Transformation Identification Practice. I apologize for the change but felt moving to this notebook would allow me to provide more practice opportunities and prevent copyright issues.

Both links are available under the Parents tab. Students often times google these and go to a generic that is not associated with CCSD. Students can find their username by logging into Student Vue and using the Account Information tab on the left.

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Performance Task — Thursday, Oct. Unit 1 B Test, T hur sday, Oc t. This can be a practice worksheet, reworked problems from your notes, Khan Academy practice, parent signature confirming that you watched tutorial videos, etc.In Module 3, students learn about dilation and similarity and apply that knowledge to a proof of the Pythagorean Theorem based on the Angle-Angle criterion for similar triangles.

The module begins with the definition of dilation, properties of dilations, and compositions of dilations. The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials. Resources may contain links to sites external to the EngageNY. Skip to main content. Find More Curriculum Print. Grade 8 Mathematics.

8th Class Math, Number Systems Ex 3.1 Q 1 - 8th Class Maths PEC

Grade 8 Mathematics Module 3. Grade 8 Module 3: Similarity In Module 3, students learn about dilation and similarity and apply that knowledge to a proof of the Pythagorean Theorem based on the Angle-Angle criterion for similar triangles.

The student materials consist of the student pages for each lesson in Module 3. Like Curriculum Map Toggle Module 1 Module 1. Lesson 1.