**Resources for 8th Grade Pre-Algebra Math **

and Algebra I

__Guide to the Algebra I Standards for Parents: __

https://goo.gl/CXvLNe

and Algebra I

__Guide to the Algebra I Standards for Parents:__

**Summary**

8th grade students are required to take the Florida State Assessment for Math. Algebra I students take an End of Course exam.

__1s__

**8th Grade Pre-Algebra Math**

**t Quarter (August 12th-October 10th):**

**Unit 1: Rigid Transformations and Congruence**

- Students need multiple opportunities to explore the transformation of figures.
- Students can verify the properties of rotations, reflections, and translations.
- Students can verify that lines are taken to lines, and line segments to line segments of the same length after a transformation has occurred.
- Students can compare and contrast translations, reflections, rotations, and dilations.
- Students can recognize the relationship of the transformation.
- Students can use informal arguments to justify the sum of interior and exterior angles of a triangle.
- Students can use the facts established to argument the angles created by parallel lines cut by a transversal.
- Students can use deductive reasoning to find the measure of the missing angle.
- Students can use informal arguments to establish facts about the angle-angle criterion of similar triangles.
- Students can understand that a two-dimensional figure is congruent to another if the second can be obtained by the first by a sequence of transformations.
- Students can describe a sequence of two given congruent figures and the congruence between them.
- Students can recognize the symbol for congruency.
- Students can write statements of congruency.
- Students can determine if two figures are congruent after a series of transformations.

Unit 8-2: Dilations, Similarity, and Introducing Slope

- Students can compare and contrast translations, reflections, rotations, and dilations.
- Students can recognize the relationship of the transformation.
- Students can understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of transformations.
- Students can describe a sequence of two given congruent figures and the congruence between them.
- Students can recognize the symbol for congruency.
- Students can write statements of congruency.
- Students can determine if two figures are congruent after a series of transformations.
- Students can understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations.
- Students can describe the sequence that exhibits the similarity between them.
- Students can understand that similar figures are produced from dilations.
- Students can describe the sequence that would produce similar figures.
- Students can understand that right triangles are similar when there is a constant rate of proportion between them.
- Students can compare the sides of a right triangle to understand the slope is the same between any two points in a similar triangle.
- Students can use similar right triangles to explain why the slope is the same between two distinct points on a non-vertical line.
- Students can apply the equations of and to properties of similar right triangles on a coordinate grid.

**Vocabulary**: transformation, reflection, translation, rotation, dilation, interior/exterior angles, transversal, parallel lines, congruent

**2nd Quarter (October 14th-December 20th):**

**Unit 3: Linear Relationships**

**Students can identify unit rate as slope.****Students can graph proportional relationships.****Students can make comparisons of proportional relationships through graphs, tables, and equations.****Students can understand that right triangles are similar when there is a constant rate of proportion between them.****Students can compare the sides of a right triangle to understand the slope is the same between any two points in a similar triangle.****Students can use similar right triangles to explain why the slope is the same between two distinct points on a non-vertical line.****Students can apply the equations of and to properties of similar right triangles on a coordinate grid.****Students can verify that lines are taken to lines, and line segments to line segments of the same length after a transformation has occurred.****Students can understand that solutions correspond to a graph and can relate the solution to the context of the problem.****Students can identify and describe one solution, no solution, or infinitely many solutions to a system of linear equations by substitution, elimination, and graphically.****Students can solve a system of linear equations and show that two equations can be represented differently.****Students can solve real world problems leading to two systems of linear equations.**

- Students can use properties of real numbers to solve linear equations with rational numbers, apply the distributive property, and collect like terms.
- Students can solve multi-step linear equations with variables on both sides of the equal and recognize that the solution is true by substituting the solution back into the equation.
- Students can identify linear equations that have one solution, infinitely many solutions, or no solutions.
- Students can understand that solutions correspond to a graph and can relate the solution to the context of the problem.
- Students can identify and describe one solution, no solution, or infinitely many solutions to a system of linear equations by substitution, elimination, and graphically.
- Students can solve a system of linear equations and show that two equations can be represented differently.
- Students can solve real world problems leading to two systems of linear equations.

- Students can understand the definition of a function.
- Students can identify a function using a graph.
- Students can interpret the equation y=mx+b as a linear function.
- Students can describe whether a functional relationship between two quantities increases or decreases by analyzing a graph.
- Students can describe whether a functional relationship between two quantities is linear or nonlinear.
- Students can sketch a graph of a function that relates to a real-world situation.
- Students can compare two linear functions from multiple representations.
- Students can construct a function to model a linear relationship between two quantities.
- Students can determine the rate of change and initial value of a function using a table or graph.
- Students can interpret the rate of change and initial value of a situation using graph or table of values.
- Students will know the formula for the volume of cones.
- Students will know the formula for the volume of a cylinder.
- Students will know the formula for the volume of a sphere.
- Students can use the formulas for volumes of cones, cylinders, and spheres to solve real-world problems and mathematical problems.

**Vocabulary:**unit rate, slope, constant rate of proportion, proportion, proportional relationship, graphs, tables, equations, right triangles, similar triangles, coordinate grid, linear equation, substitution, elimination, graph, system of linear equations, function, linear function (y=mx+b), linear, non-linear, rate of change, initial value, table, table of values, graph, cone, cylinder, sphere

**3rd Quarter (January 7th-March 12th):**

**Unit 6 : Associations in Data**

**Students can construct scatter plots for bivariate measurement data.****Students can interpret scatter plots for bivariate measurement data.****Students can describe patterns of association between two quantities.****Students can informally construct a line best fit for a scatter plot.****Students can informally assess a line of best fit by judging the closeness of the data points to the line.****Students can use the equation of a linear model to solve problems.****Students can interpret the slope and intercepts of linear model of a scatter plot.****Students can determine and describe the relative frequency associated between the two variables in a two-way table.****Students can construct and interpret two-way tables to summarize data on two categorical variables collected from the same subjects.**

**Unit 7: Exponents and Scientific Notation**

**Students can know the properties of integer exponents.****Students can apply the properties of integer exponents to generate equivalent numerical expressions.****Students can use scientific notation to represent large and small quantities.****Students can compare quantities that are written in scientific notation.****Students can convert from scientific notation to standard form and vice versa.****Students can perform the four operations of mathematics with numbers expressed in scientific notation and standard form.****Students can solve problems where both standard form and scientific notation are given.****Students can identify appropriate size of measurements.**

**Vocabulary: scatter plots, bivariate, measurement data, line of best fit, slope, y-intercept, relative frequency, scientific notation, standard form**

**4th Quarter (March 23rd-May 29th):**

**Unit 8: Pythagorean Theorem and Irrational Numbers**

**Students can approximate and compare irrational numbers.****Students can estimate and locate irrational numbers on a number line.****Students can represent solutions for equations using square roots and cube roots. Students can know that the square root of 2 is irrational.****Students can find values of perfect squares and perfect cube roots.****Students can apply the Pythagorean Theorem in real-world problems to find the missing side length of a triangle.****Students can apply the Pythagorean Theorem in mathematical problems in two and three dimensions.****Students can recognize and apply common Pythagorean triples.****Students can understand that right triangles are similar when there is a constant rate of proportion between them.****Students can compare the sides of a right triangle to understand the slope is the same between any two points in a similar triangle.****Students can use similar right triangles to explain why the slope is the same between two distinct points on a non-vertical line.****Students can apply the equations of and to properties of similar right triangles on a coordinate grid.****Students can apply the Pythagorean Theorem to find the distance between two points in the coordinate system.****Students can understand that the line segment between two points is the length of the hypotenuse.****Students can determine the side lengths of a right triangle on a coordinate grid.**

**Algebra I Strands of Study****Algebra and Modeling:**Students perform operations on polynomials. They understand the relationship between zeros and factors of polynomials. They use mathematical structure of expressions. They create and solve equations and inequalities. They reason with equations and inequalities. They choose and use appropriate mathematics to model situations.**Functions and Modeling:**Students understand the concept of a function. They interpret functions and key features in a context. They analyze and graph functions. They build a function that models a relationship. They construct linear, quadratic, and exponential functions. They solve problems using functions.**Statistics and the Number System:**Students extend the properties of exponents to rational exponents. They use properties of rational and irrational numbers. They summarize, represent, and interpret data for one-and two-variable data. They interpret linear models.

**Helpful Websites and Links****Prodigy math game:**

**prodigygame.com/**

In this online game, students can practice more than 1200 math skills that are standards aligned and help prepare students for FSA testing. This free resource is unique in that it is tailored to every student's individual learning needs and provides appropriate pacing.

**Algebra Four**

**http://www.shodor.org/interactivate/activities/AlgebraFour/**

In this activity, two students play a simulated game of Connect Four, but in order to place a piece on the board, they must correctly solve an algebraic equation. This activity allows students to practice solving equations of varying difficulty: one-step, two-step, or quadratic equations and using the distributive property if desired. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the Java applet.

**Algebra vs. the Cockroaches - The Slope Game**

**http://hotmath.com/hotmath_help/games/kp/kp_hotmath_sound.swf**

In this interactive, web-based game, students must determine the slope-intercept form of a line to destroy cockroaches marching across the coordinate grid.

**Graphing Points and Lines**

**https://www.mangahigh.com/en-us/math_games/algebra/straight_line_graphs/draw_straight_line_graphs_using_y_=_mx_+_b**

Challenge yourself with this Prodigi game to see if you can answer questions about points and lines in graphs. Practice using slope-intercept form of a line. Try the "Teach Me" button to prepare yourself. When you are ready, play Prodigi! Be sure to use the review function at the end for any incorrect answers! Have fun!

**Number Relationships Game: Multiples, Primes, Rationals, Perfect Squares, & Fractions**

**http://hotmath.com/hotmath_help/games/numbercop/numbercop_hotmath.swf**

This is a game in which you are a cop car trying to get specific numbers. There are 3 difficulty levels, and you get feedback. Instructions- Choose your game: select a number to practice multiples of that number, or select other games("Fractions in Lowest Terms", "Primes", "Perfect Squares", "Rational Numbers") from drop down menu. Choose your difficulty level. The range of the numbers appearing will increase with the difficulty level. For "Multiples of 2" and "Multiples of 5", the speed of the game also increases. Apprehend all the numbers that fit the description and avoid all the numbers that don't. You can move the car by using the "Left" and "Right" arrow keys, or by clicking the mouse on the lane you want.

**Rewriting Expressions: Distributive Property and Factoring**

**https://www.mangahigh.com/en-us/math_games/algebra/factoring/factor_using_a_common_term**

In this challenge game, you will be simplifying expressions by using the distributive property and factoring. Use the "Teach Me" button to review content before the challenge. During the challenge you get one free solve and two hints! After the challenge, review the problems as needed. Try again to get all challenge questions right! Question sets vary with each game, so feel free to play the game multiple times as needed! Good luck!

**Rewriting Expressions: Simplifying Rational Expressions With Exponents**

**https://www.mangahigh.com/en-us/math_games/algebra/algebraic_fractions/simplify_algebraic_fractions**

In this challenge game, you will be simplifying fractional expressions with exponents. Use the "Teach Me" button to review content before the challenge. During the challenge you get one free solve and two hints! After the challenge, review the problems as needed. Try again to get all challenge questions right! Question sets vary with each game, so feel free to play the game multiple times as needed! Good luck!

**Solve Systems of Equations - Straight Line Graphs**

**https://www.mangahigh.com/en-us/math_games/algebra/systems_of_equations_/solve_systems_of_equations_-_straight_line_graphs**

Challenge yourself with this Prodigi game to see if you can answer questions about systems of linear equations. Try the "Teach Me" button to prepare yourself. When you are ready, play Prodigi! You get one free solve and two hints. Be sure to use the review function at the end for any incorrect answers! Have fun!

**Solving Equations: Same Variable, Both Sides, One Solution**

**https://www.mangahigh.com/en-us/math_games/algebra/solving_linear_equations/solve_linear_equations_with_an_unknown_on_both_sides**

In this challenge game, you will be solving equations with variables on both sides. Each equation has a real solution. Use the "Teach Me" button to review content before the challenge. After the challenge, review the problems as needed. Try again to get all challenge questions right! Question sets vary with each game, so feel free to play the game multiple times as needed! Good luck!

**Timed Algebra Quiz**

**http://www.shodor.org/interactivate/activities/AlgebraQuiz/**

In this timed activity, students solve linear equations (one- and two-step) or quadratic equations of varying difficulty depending on the initial conditions they select. This activity allows students to practice solving equations while the activity records their score, so they can track their progress. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

**Transformation Complete**

**http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/TranslateShapesShoot.htm**

Play this interactive game and determine whether the similar shapes have gone through rotations, translations, or reflections.

**Graphing Lines**

**http://phet.colorado.edu/en/simulation/graphing-lines**

Allows students access to a Cartesian Coordinate System where linear equations can be graphed and details of the line and the slope can be observed.

**Source for above listed games: CPALMShttp://www.cpalms.org****Kids.Gov**

**https://kids.usa.gov/teens/index.html**

Students can access and play various math games and watch math videos.

**Cool Math**

**http://www.coolmath-games.com/**

This is a student favorite! Students play video-game style. The site even includes Algebra practice.

**USF Math Portal**

**http://fcit.usf.edu/math/websites/math68.html**

Students can choose from several math activities and games from A-Z.

**Kid Sites**

**http://www.kidsites.com/sites-edu/math.htm**

Students play games from intermediate levels all the way through Algebra.

**Math is Fun**

**http://www.mathsisfun.com**

Students play games and activities that are sorted by levels and skills.

**Apps for Success!**

**Android Devices/ Google Play:**

**iOs/Apple Devices:**

**Algebra I- iOs/Apple Devices**

**Algebra I- Android/Google Play**