# M/J Grade 8 Pre-Algebra

## by Florida Association of School Administrators

This course material is only available in the iTunes U app on iPhone or iPad.

#### Course Description

This mathematics course provides resources to help teachers teach and students understand essential concepts and competencies. Teachers have the freedom to build curriculum and contextualize content resources to meet classroom needs.

In Grade 8, students continue to build on previous mathematical foundations as they expand their knowledge through other mathematical experiences in these three main areas:

In Grade 8, students continue to build on previous mathematical foundations as they expand their knowledge through other mathematical experiences in these three main areas:

- Formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations.
- Grasping the concept of a function and using functions to describe quantitative relationships.
- Analyzing two- and three- dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.

Name | Description | Time | Price | ||
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1 | Systems of linear equations in two variables ( Algebra for kids ) | Systems of linear equations in two variables ( Algebra for kids ) app provide an easy way to help students to learn Algebra. Students can drag and drop or tap the numbers or variables of the equations to solve it. For example:students can click the numbers or variables to calculate it or drag and drop numbers,variables for substitution or Shift regulation. In addition, this app use reverse thinking, built-random way to generate the questions, so any time you can have all the new questions to practice. Teachers can also use this app, ready to produce 20 exam questions, email them to print. If you are interested in this app, you can refer to the following demo video:: https://www.youtube.com/watch?v=uHt3IdajITo This app contains the following features: 1. Solving systems of linear equations in two variables - by elimination method 2. Solving systems of linear equations in two variables - by substitution method More than two kinds of problem-solving methods, are using drag-and-click method, so children can easily learn of systems of linear equations. 3. Random generate Exam paper of system of linear equations and teacher can email it and print it out for students' Exam. 4. Solving systems of linear equations in two variables Calculator and graphing line function - students can input their own equations to calculate it and graphing the lines。 5. Solve by Graphing - the app will random give 2 equations and user can input the coordinates of the equations then the app will graphing the lines of 2 equations. As a MOMs with Apps member,we follow the "Know What's inside" best practices for kids' apps. http://momswithapps.com/ If you need help,please contact us by email: kids17fun@gmail.com | -- | $2.99 | View in iTunes |

2 | Algebra Equation Balancer | Learn to solve algebraic equations with the Algebra Equation Balancer! Using tiles you can take away something from both sides of the equation or use zero pairs on one side of the equation. The app features a balance beam scale with colored objects (that correspond to numbers in the equation) that allows the user to remove equal objects simultaneously to help visualize simplifying equations. The user is given an equation in two different forms: one with numbers, the other in colored objects. The user can remove equal objects from both sides until it cannot be simplified further to get the answer to the numbered equation. There is also a place to enter answers and have them checked. There are multiple levels of increasing difficulty including things such as parenthesis, fractions, and multiple variables. | -- | Free | View in iTunes |

3 | Firefighter Fred | Our educational apps transform complex math problems into fun adventures. Information can be better understood, when it has a visual stimulus and can be applied on an interesting problem, instead of just staying a theoretical mess of numbers. Let your child become a brainiac by simply playing a game. In our new app, kids learn how to use linear and quadratic functions to save aliens on a distant planet form burning. The water beam must hit the right window. In our special MathMode, kids can figure out the trajectory of the water and pick the function that goes with it. We aim to bring the fun back into science! | -- | Free | View in iTunes |

4 | Pythagorean Theorem 8.G.6 | This collection contains apps that will help teachers implement Common Core Standard 8.G.6 for 8th grade mathematics. | -- | Free | View in iTunes |

5 | Learn Pythagorean Theorem Through Exploration | Learn Pythagorean Theorem Through Exploration will take you on a learning journey exploring the characteristics of triangles and Pythagorean Theorem through a real world mathematics problem.  Readers will have opportunities to interact with the book through video, social media and purposeful practice widgets to peak curiosity and promote a deep understanding of measurement with triangles.  | -- | Free | View in iTunes |

6 | Sir Cumference and the Sword in the Cone | A funny and pun-filled retelling of “The Sword and Stone” that introduces readers to mathematical angles. King Arthur has hidden his sword, Edgecalibur and issued a challenge to the knights. The first knight to find the sword will be the next king. Can Sir Cumference and Lady Di point Radius's best friend, Vertex in the right direction? Will Vertex's sharp thinking give him the edge? Join Sir Cumference, Lady Di of Ameter, and their son, Radius, in this new adventure where they race to help Vertex find the sword and discover the secrets of cubes, pyramids, cylinders, and cones. | -- | $6.99 | View in iTunes |

7 | CalcMadeEasy | One of the BEST Calculators for iOS devices. FREE version comes with fully functional Scientific Calculator and Notepad with Automatic Notes taking capability. No Ads. Option to choose Basic or Default layout, Multitasking - 'Slide Over' and 'Split View' on iPad. Drag-n-Drop. Once start using this, you won’t go to other calculator. Give it a try!! Please see Help ('?') and Settings after app installation to learn more and get the best out of App. * In App Upgrades: Take calculator to next level by adding extra packages to suit your requirements: Calculator+, Finance and Units Converter. ##Notepad: App has auto-note taking capability. This allows you to refer your calculations in future. You can also add custom content to notes. ***************************************** Thank you for GREAT feedback, see what some of thousands of users are saying - +"Looked at a lot of calc apps and this one is the best." +"This is what I needed for my iPhone a long time!! Loving it!!" +"It's like my own personal math tutor, this is great!" +"…I already recommended it to 20 of my friends." +"Great app!!! Will definitely get the full version!" +"This is a great app that helps my son with his homework" +"Crazyy good" +"Now everything is more easy!!!" +"Best app ever..get it now" ***************************************** | -- | Free | View in iTunes |

8 | Action Grapher Algebra | Three apps in one! Students often have difficulty understanding the relationship between axes in a graph and how the two variables interact. They tend to believe the graph will look like reality. To develop a more comprehensive understanding of the dynamic taking place in graphs, each of these apps challenge the student to explore how the information from each axis influences the graph. In Bicycle, the user takes a bike on a journey up and down a hill and sees different graphical representations of what is going on based on considering different variables. In Flask, the user draws a flask of any shape, watches it fill up with water, and sees how the graph is influenced by the shape of the flask.In Doodle Pad the user can draw an action and instantly watch two distinct graphs appear, demonstrating different representations of what is happening mathematically. | -- | Free | View in iTunes |

9 | Desmos Graphing Calculator | Explore math with Desmos! Plot functions, create tables, add sliders, animate your graphs, and more -- all for free. At Desmos, we imagine a world of universal math literacy and envision a world where math is accessible and enjoyable for all students. We believe the key is learning by doing. To achieve this vision, we’ve started by building the next generation of the graphing calculator. Using our powerful and blazingly-fast math engine, the calculator can instantly plot any equation, from lines and parabolas up through derivatives and Fourier series. Sliders make it a breeze to demonstrate function transformations. It's intuitive, beautiful math. And best of all: it's completely free. Features: Graphing: Plot polar, cartesian, or parametric graphs. There’s no limit to how many expressions you can graph at one time - and you don’t even need to enter expressions in y= form! Sliders: Adjust values interactively to build intuition, or animate any parameter to visualize its effect on the graph. Try typing y=mx+b and adding sliders to get started. Tables: Input and plot data, or create an input-output table for any function. Statistics: Find best-fit lines, parabolas, and more. Calculus: Graph derivatives (d/dx) and explore key concepts by building secant and tangent line sliders. Graph Maclaurin Series (okay, all kinds of Taylor Series, but that guy gets no love...) Evaluate a definite integral (int) in an instant, or plot an integral with varying bounds. Zooming: Scale the axes independently or at the same time with the pinch of two fingers, or edit the window size manually to get the perfect window. Points of Interest: Touch a curve to show maximums, minimums, and points of intersection. Tap the gray points of interest to see their coordinates. Hold and drag along a curve to see the coordinates change under your finger. Scientific Calculator: Just type in any equation you want to solve and Desmos will show you the answer. It can handle square roots, logs, absolute value, and more. Inequalities: Plot cartesian and polar inequalities. Offline: No internet access required. Visit www.desmos.com to learn more and to see the free online version of our calculator. | -- | Free | View in iTunes |

10 | Khan Academy | Khan Academy allows you to learn almost anything for free. In our iPhone app: - You can learn anything – for free: Over 10,000 videos and explanations at your fingertips in math, science, economics, history, and much, much more - Sharpen your skills: over 40,000 interactive Common Core aligned practice questions are included with instant feedback and step-by-step hints. Follow along with what you’re learning in school or practice at your own pace - Quickly find what you need: Redesigned navigation and search make it faster to find what you want - Keep learning even when you’re offline: Bookmark your favorite content to “Your List” for easy access, and download it to keep learning even when you’re not connected to the internet. - Pick up where you left off: Your learning syncs between your iPhone and khanacademy.org, so your progress is always up-to-date In our iPad app, you can also: - Flex your muscles: the app adjusts to give you interactive exercise recommendations that are tailored just for you through the world of math. - Show your work: the app harnesses the power of writing down your thoughts as you problem-solve with a beautiful, expansive scratchpad. Once you have your answer, just write it in, and we’ll recognize your handwriting (powered by MyScript)! Learn using videos, interactive exercises, and in-depth articles in math (arithmetic, pre-algebra, algebra, geometry, trigonometry, statistics, calculus, linear algebra), science (biology, chemistry, physics), economics, and even the humanities with playlists on art history, civics, finance, and more. Spend an afternoon brushing up on statistics. Discover how the Krebs cycle works. Learn about the fundamentals of music notation. Prepare for the upcoming SAT, GMAT, or MCAT. Or, if you’re feeling particularly adventurous, learn how fire stick farming changed the landscape of Australia. It doesn't matter if you are a student, teacher, home-schooler, principal, adult returning to the classroom after 20 years, or a friendly alien just trying to get a leg up in earthly biology—Khan Academy's materials and resources are available to you completely free of charge. Head over to www.khanacademy.org to learn more."Khan Academy allows you to learn almost anything for free. | -- | Free | View in iTunes |

11 | Graphing in Groups | In Graphing in Groups, students work alone or in pairs to construct graphs of linear functions by using their respective iOS devices to move points in a shared Cartesian window. The Graphing in Groups NetLogo Hubnet model allows a teacher to view and display the graphing windows for all student pairs. Two pairs, one yellow and one green, can form lines in each graphing window. As students move their points in their respective graphing windows, they can mark select locations to form lines, the y=mx+b equation for which is displayed above or below the graph. This configuration allows students to participate in a variety of structured or open-ended collaborative mathematics tasks involving generating lines with particular properties—a specific slope or intercept, a parallel or perpendicular relationship to another group’s line, passage through a select point, and so on. With the Graphing in Groups application students can - give their point a custom name - use arrow keys to move their point on a Cartesian graph - draw lines between their point and a second point - learn about y=mx+b, by observing the effect of point movement on the equation - use the built-in camera or photo library to generate graphing background images - change the scale of their graphs - work individually, using a second point to construct their own lines - work collaboratively, seeing their partner's point, creating lines together - send photos and graphing commands to the teacher's computer, for the whole class to see Detailed instructions for using Graphing In Groups can be found on the website. | -- | Free | View in iTunes |

12 | Free Graphing Calculator | *** Now over 4 million downloads. Thanks users!*** A powerful, flexible graphing calculator . . . and it's free! Does far more than most of the paid calculators out there . . . let alone the free ones. Features: 1) Scientific Calculator. Simple to grasp and easy to use, but powerful features are available when you need them. Available functions include the following: • the usual arithmetic functions and exponentiation. • square root, cube root, nth root, natural log, log base 10, log of arbitrary base, absolute value, factorial, permutations (nPr), combinations (nCr), modulus, random integer, bell curve, cumulative normal distribution, decimal to fraction. 2) Graphing. Capabilities: • Graph up to four equations at once. • Graphs are labeled. • You can drag the graph or pinch to zoom in or out. • Calculator can find roots and intersections. • Graph in polar coordinates. • Graph parametric equations • Can graph implicit functions, such as x^2+y^2-4=0. Most calculator apps can't do this! 3) A unit converter. With a tap, you can enter the result of your conversion into the calculator. Currently converts different units of the following: acceleration, angle, area, density, distance, energy, force, mass, power, pressure, speed, temperature, time, and volume. Great for doing physics homework! 4) Constants for scientific calculations -- speed of light, strength of gravity at Earth's surface, etc. etc. etc. Tapping on a constant will insert it into your calculation -- i.e, you don't have to key in the value. Again, great for doing physics homework! 5) It can make a table of the values of any function you care to enter. You can choose the starting x value of the table, as well as how much x increases for each successive row. 6) Help screens linked directly to many of the available functions and constants. Tap the disclosure arrow to see the definition. 7) Forgot the quadratic formula? Or the double-angle formulas for sine and cosine? The math/science reference hits the high points of various subjects. Currently includes algebra, differential and integral calculus, geometry, trigonometry, vectors, vector calculus, and classical mechanics. 8) Keep track of significant figures [AKA sig figs] 9) Statistics -- enter data and make a histogram, box and whisker plot, or scatter plot with optional regression line. If you are viewing this in iTunes, you will see five iPhone screenshots and five iPad screenshots. But even ten shots don't come close to showing everything this calculator can do. I'd love to hear your comments or suggestions. You can write me at mathscixyzgraphcalc@gmail.com -- but without the xyz. Thanks! | -- | Free | View in iTunes |

13 | Functions f(x) = ax+b | "Boss 'T' Maths Functions f(x) = ax+b" is a maths teacher creation. This app is meant to help understand and revise functions as f(x)=ax, algebraically and graphically. The first part - I UNDERSTAND! - shows dynamically the notions of gradient, Y axis intercept and monotony. The second part - I TEST MYSELF! - shows 4 exercises that deal with gradients, Y-axis intercept, table of values, calculation of outputs and graphical reading. The app is also linked to Game center, so you can share your results and challenge your friends! | -- | $3.99 | View in iTunes |

14 | Geometry: Volume of Solids Lite (Video & Calcul... | The lite version of this app provides a quick and simple way for you to learn and calculate volume of solids. There are six computer animated videos on the volume of the cube, rectangular solid, cylinder, sphere, cone and pyramid. Each video is divided into several different parts that you can easily skipped to. Also, we included two sample calculators (cube and rectangular solid) so you can easily calculate the volume and other parameters for these solids. Each calculator will automatically perform unit conversions between yard, inch, feet, centimeter and meter if needed. This will help you to save a lot of time. The videos included in this app are: 1. Basics on finding 'Volume' •Introduction •Example 1: Deriving rectangular solid volume formula •Finding the unit for the volume formula in Example 1 •Example 2: Deriving the formula for the volume of cylinder •Finding the unit for the volume formula in Example 2 2. Volume of a Cube •Introduction •Deriving the formula for the volume of a cube •The unit for the volume of a cube •Example 1: Find the volume of a cube •Example 2: Find the length of each side of a cube 3. Volume of a Cylinder •Introduction: Deriving the formula for the volume of a cylinder •The unit for the volume of a cylinder •Example 1: Find the volume of a cylinder •Example 2: Find the height of a cylinder •Further solving the equation in Example 2 to find the height 4. Volume of a Sphere •Introduction: The formula for the volume of a sphere •Example 1: Find the volume of a sphere given its radius •Finding the unit for Example 1 •Example 2: Find the radius of a sphere given its volume •Further solving the equation in Example 2 to find the radius 5. Volume of a Cone •Introduction: The formula for the volume of a cone •Example 1: Find the volume of a cone given its base radius & height •Finding the unit for Example 1 •Example 2: Find the base radius of a cone given its volume & height •Further solving the equation in Example 2 to find the radius 6. Volume of a Pyramid •Introduction: The formula for the volume of a pyramid •Example 1: Find the volume of a pyramid given its width, length & height •Finding the unit for Example 1 •Find the height given its volume, width & length •Further solving the equation in Example 2 to find the height | -- | Free | View in iTunes |

15 | Linear Model | From research we know that students have difficulty understanding multiple representations of the same information. This app allows students to explore how changes in the formula or graph or table will impact the other two. Another nice feature of the graph is the ability to watch how a change in the scale will not change the formula or table but will change the graph appearance. The app allows you to enter a linear equation to be displayed on the graph, but you can also use the dots on the line to move it around yourself. You can also choose a different starting point for x in the table. Linear Model supports equations in both slope intercept, y = mx + b, and standard form, Ax + By = C formats. Enjoy! | -- | Free | View in iTunes |

16 | Math. | Get the exact math help you need with your own personal math teacher! Browse or search YourTeacher's complete library of over 50 courses for elementary, middle, and high school math; community college and college math; and standardized test prep. Each course contains over 100 lessons, and each lesson features video examples, interactive practice, multiple-choice self-tests, a worksheet of extra problems, and more! PLEASE NOTE that your first 5 lessons are FREE! You will then be asked if you would like to purchase any of our courses for just $9.99! Each course offers an entire year's worth of math tutoring and practice! Elementary, Middle, and High School Math: 5th Grade Math 6th Grade Math Pre-Algebra Algebra 1 Geometry Algebra 2 Community College and College Math: College Pre-Algebra Introductory Algebra Intermediate Algebra College Algebra Standardized Test Prep: ACCUPLACER ACT AEPA AIMS ASSET ASVAB CAHSEE CBEST CEN CEOE CGFNS CHSPE CLEP CNOR COMPASS CSET FCAT FTCE GACE GED GHSGT GMAT GRE HESI HOBET HSPA ICTS ISEE ISTEP MTEL MTTC NET NY REGENTS A OGT PRAXIS PSAE PSAT PSB PSSA RNEE SAT SSAT TABE TAKS TEAS TEXES THEA and more... Perfect for math tutoring, homework help, homeschooling, standardized test prep, and more! (Wifi or 3G connection required to receive lesson content.) | -- | Free | View in iTunes |

17 | Simitri | Explore the beauty of mathematics with 'Simitri', an iPad app which lets you create beautiful colourful patterns based on simple mathematical rules. The app introduces transformations and symmetry groups ('wallpaper groups') and then allows you to draw your own patterns using your chosen symmetries. It is an interesting fact that there are precisely 17 symmetry groups in two dimensions, and this app explains each one with interactive animations and examples from art and archaeology. When you're happy with your artwork you can save the images to your iPad, your camera roll, or show them off on Facebook and Twitter. A public gallery also showcases the best designs from around the world! * Learn about the 17 wallpaper groups * Understand translations, rotations, reflections and glide reflections with colourful animations * See examples of the beauty of symmetry and mathematics in the decorative arts and historical artefacts * Draw your own patterns using a choice of templates and colours * Save your designs, or post your designs to Facebook and Twitter * Submit your designs to the public gallery for everyone else to see! | -- | Free | View in iTunes |

18 | IXL - Math and English | Excel everywhere with IXL! Discover a new world of learning that’s full of fun and interactive questions, personalized recommendations, and virtual rewards. With over 5,700 skills in math and English language arts, students stay motivated and engaged as they explore topics and master exciting new challenges. Feel good about your kids’ tablet time as they use IXL to keep their skills sharp anytime, anywhere. Math Explore more than 3,800 standards-aligned skills that provide comprehensive coverage of pre-K through 12th grade math. Unlimited questions allow students to review and practice as much as they need to master a skill. And with personalized recommendations based on their practice history, students are encouraged to make smart choices about what to learn—and have fun while they’re at it! From skip-counting with pictures to graphing quadratic functions, IXL's interactive math questions bring the joy of learning to students’ fingertips. English Language Arts Enter a new era of grammar instruction with IXL’s English language arts program for pre-K through twelfth grade. We bring the fundamentals of writing to life through fun and witty questions that challenge students to learn new vocabulary, correct grammatical mistakes, read and analyze text, develop writing skills, and more. Over 1,900 skills prepare kids to become confident communicators in school and beyond. Highlights of IXL - Comprehensive standards-aligned curriculum - Wide variety of question types to engage students - Unlimited access to all grade levels - Insightful reports and weekly updates on your student’s progress - Over 35 billion questions answered by students worldwide TESTIMONIALS “Thanks to IXL, our students' performance has increased dramatically. Because they practice the skills daily, and because the site provides feedback, students are able to correct their mistakes and master the concepts easily.” Waleska Batista, teacher, Cherry Hill, New Jersey, U.S.A. “My favourite feature of IXL is that if you get a question wrong IXL will tell you how to solve it and what you did wrong. Another thing I really enjoy is that IXL provides awards and progress reports showing how you do over time. I think these two things are very effective because they make the student feel like they are actually studying and not wasting time.” Student, Calgary, Alberta, Canada “This program takes the frustration out of math because it allows the student to practice at his/her own pace and stay focused. It's okay if you mark one wrong because another one will be waiting. This is a great tool to have.” Parent of a 4th grader, California, U.S.A. “We like the rewards and certificates; our children work very hard to receive these! The reports are also brilliant in keeping us informed of the levels our children have reached and where they need extra help.” Parent, Coolah, NSW, Australia “My students are improving by the day, and some even stay in for recess to work on IXL!” Helm Jackson, 5th grade teacher, Redmond, Washington, U.S.A. IXL Membership Become an IXL member for $19.99 per month and you’ll get access to unlimited practice in all grade levels, earn awards and much more! Pricing may vary by country. Your subscription will be charged through your iTunes account at confirmation of purchase and will automatically renew within 24 hours prior to the end of the current subscription period, unless auto-renewal is turned off beforehand. You may manage your subscription and turn off auto-renewal at any time from your iTunes account settings after purchase, but no refunds will be provided for the unused portion of the period. Terms of Service: https://www.ixl.com/termsofservice Privacy Policy: https://www.ixl.com/privacypolicy | -- | Free | View in iTunes |

19 | HMH Math on the Spot | How about having a math tutor with you anytime, anywhere? Using HMH Math On the Spot, you can choose from hundreds of video lessons and topics from Grade 6 to Algebra 2. Whether you are studying negative numbers, linear equations, the Pythagorean Theorem, or polynomial functions, On the Spot video tutorials give you the detailed help you need where and when you need it. Aligned to the Common Core State Standards, HMH Math On the Spot video tutorials feature Dr. Edward Burger, whose instructional style has earned him numerous awards. In 2006, Reader's Digest honored him in its annual "100 Best of America" special issue as "Best Math Teacher." In 2010, Dr. Burger won the Robert Foster Cherry Award for Great Teaching for his "proven record as an extraordinary teacher and distinguished scholar.” Selected videos also feature Ms. Freddie Renfro, a math teacher, supervisor, and coordinator with more than 35 years experience in math education. Features: • More than 1400 available videos organized, with over 100 topics covering algebra, geometry, numbers and operations, statistics, probability, and much more. • Purchase only the topics you need with over 40 topics for Middle School and over 60 for High School, each with multiple sets of video lessons. • Customize your instruction by building your own playlists and choosing your favorites. • Fully aligned to the Common Core State Standards for Mathematics • Available with English and Spanish audio narration and closed-captioning (Grades 6, 7, 8, and Algebra 1) | -- | Free | View in iTunes |

20 | Pythagorean Theorem and its Converse | With "Boss 'T' Maths Functions Pythagorean Theorem", understanding the Pythagorean theorem has never been so easy! The first part - I UNDERSTAND! - shows the theorem and its converse with examples and animations. The second part - I TEST MYSELF! - shows 4 exercises that deal with the theorem and its converse, by applying these on many cases (how to calculate of the hypotenuse of a right angled triangle, a given triangle is-it right angled, which formula to calculate the length of any right angled triangle side, how to locate the points to obtain a given right angled triangle). Exercises are randomly generated, in other words they are different every time ; so when you run the application, the exercises you have to solve are entirely new ! Finally, the app provides you a score (% and note on 20), so that you can improve yourself and/or challenge your friends. | -- | $3.99 | View in iTunes |

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