Content Area Learning Activity:

**Mathematics and/or Science Learning Activities**

*Part 1: Simulations*Good math and science methodology involves conducting tests and making observations.

**Test 1:**Edheads Weather Activity

**Target Age:**Algebra 1

**Task:**

Temperature converter from Fahrenheit to Celsius/Celsius to Fahrenheit

**Many of these activities are more appropriate for middle or elementary school mathematics; however, the section on converting degrees to Celsius and vice-versa would be an enhancement to an algebra curriculum. High school students would probably laugh at the "cartoonish" features of the site but the mathematics is accurate.**

Personal Reaction:

Personal Reaction:

**Ease of Use:**

EdHead uses simple animations to help students understand science and math concepts. The site is easy to use and navigate. The information is presented in a manner that anybody can understand. Simple instructions, easy to understand and follow and more of a visual display can make anybody a master of this concept after a few trials.

**Educational Value:**

The weather unit offers students the opportunity to forecast and predict the weather in an interactive module that offers three levels of difficulty. This would enhance a unit on solving multiple step algebraic equations by the introduction of the Celsius to Fahrenheit formulas. The forecasting feature would be more appropriate for a science classroom.

**Age/developmentally appropriateness**:

The Edheads unit on weather would be appropriate for a 8/9/10th Algebra 1 curriculum (the conversion portion).

**Applicability to Theme (Algebra 1):**

A Celsius to Fahrenheit conversion (and vice versa) can at first seem complicated, but it is a critical skill that should be mastered at the Algebra 1 level. The conversion is just a matter of knowing the correct formula and how to use it. Initially students should do the computation by hand, rather than using a unit calculator or an online calculator, so they will have a better grasp of the two scales and how temperatures are expressed on both of them. This Edheads simulation will reinforce the concept and allow students to master the conversion skill.

**Test 2:**

**Phet Interactive Simulations: Projectile Motion Simulation**

**Target Age:**Algebra 1

**Task:**Blast a Buick out of a cannon! Students learn about projectile motion by firing various objects. They set the angle, initial speed, and mass and add air resistance. Make a game out of this simulation by trying to hit a target.

**Personal Reaction:**

This activity is fun! Projectile motion often appeals to students because they can see how the math they're learning about is used in the real world. This simulation would be a nice bridge to use when introducing kinematics and how they tie in with quadratic equations.

**Ease of Use:**

The simulation is somewhat intuitive but students will need some guidance to navigate and gain the appropriate skills. A teacher's guide is provided which includes helpful tips and explanations. The teacher would need to personally run the simulation several times to connect the activity to the lesson. After defining the starting conditions the user can then run the simulation to see how far the object flies. Changes to the starting conditions were easy to make allowing for quick comparisons between trials.

**Educational Value:**

There are a variety of different teaching ideas with activities using the simulation provided on the site. These activities would allow students to use the simulation as an in-class exercise or lab. This would enhance a unit on quadratics and their applications.

**Age/developmentally appropriateness**:

This simulation is probably best suited for a Algebra 2 or Physics classroom but could be adapted for use in Algebra 1.

**Applicability to Theme (Algebra 1):**

The Projectile Motion simulation from PhET university of Colorado Boulder is an introductory level physics simulation appropriate for students in high school Algebra 1 or 2 course. This simulation allows the user to define starting conditions for an object that will undergo projectile motion. The simulation requires a very basic understanding of physics principals as this understanding makes the interface much more intelligible and user-friendly. Some modifications are necessary for an Algebra 1 class.

**Test 3:**Explore Elearning Gizmo:

Cat and Mouse (Modeling with Linear Systems) - Activity B

**Target Age:**Algebra 1

**Task:**This Gizmo offers a real world connection to an algebraic equation (linear system). The student visually represents the context of a dynamic chase between cat and mouse as a line graph. Students experiment with a system of two lines representing a cat-and-mouse chase. They can adjust the speeds of the cat and mouse and the head start of the mouse, and immediately see the effects on the graph and on the chase.

**: Visualizing how linear systems work can be confusing and time consuming for students to graph and find the intersection of the two lines. This simulation is a bit contrived but engaging. There are also 5 assessment questions provided which check student's learning. Students/teachers can also take screenshots which could be pasted into a document to create other problems.**

Personal Opinion

Personal Opinion

**Ease of Use**: This simulation is very easy to use and an exploration guide is provided.

**Education Value**: This would be a good individual activity for students to do during class. The activity would be a great review or introduction to linear equations.

**Age/Developmental Appropriateness**: This simulation is appropriate for Algebra 1 students. It could also be introduced at the middle school level.

**Applicability to Theme (Algebra 1):**

This simulation can be used when talking about applications of linear systems. This connects real-world meaning to slope, y-intercept, and the intersection of lines.

**Test 4:**Explore Elearning Gizmo: Order of Operations

**Target Age:**Algebra 1

**Task:**Students use their imagination while learning the importance of 'Order of Operations' and 'Properties of Real Numbers'.

**General Observations**: Excellent tool to learn order of operations with handy tool tips. More importance is given to learning by doing. Students can do and redo if they make a mistake. This was an engaging way of reinforcing the PEDMAS principle.

**Personal reactions:**The Gizmo is easy to navigate and understand. Students would need very little, if any, instruction to operate. This Gizmo is a simple and effective way to review order of operations without students having to evaluate the operations. Students should be able to recognize that the same order of operations rules that apply to whole number calculations must apply to decimal calculations.

**Ease of Use**: It is easy to use. It is presented in a manner that anybody can understand. Simple instructions, easy to understand and follow and more of a visual display can make anybody a master of this concept after a few trials. It is easy to both navigate and understand.

**Educational Value**: It has good educational value because the content presented here needs to be mastered at the latest, the Algebra 1 level.

**Age/Developmental Appropriateness**: It is appropriate not only for middle school students who need to get a strong foundation before proceeding to Algebra but also for older students who may need a refresher. This simulation is appropriate for Algebra 1 students.

**Applicability to Theme (Algebra 1):**

This is an excellent tool which can refresh students knowledge of the order of operations at their own pace and time. The activity reinforces that the same order of operations rules that apply to whole number calculations must apply to decimal calculations.

**Math Standards:**

**WA Common Core Standards for Algebra 1**

**Seeing Structure in Expressions A-SSE**

Interpret the structure of expressions

1. Interpret expressions that represent a quantity in terms of its context.★

a. Interpret parts of an expression, such as terms, factors, and coefficients.

**Arithmetic with Polynomials and Rational Expressions A -APR**

Perform arithmetic operations on polynomials

1. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

**Creating Equations★ A -CED**

Create equations that describe numbers or relationships

1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviableoptions in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

4. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V =IR to highlight resistance R.

**Represent and solve equations and inequalities graphically**

10. Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.★

12. Graph the solutions to a linear inequality in two variables as a halfplane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

**Math Resources:**

Here are 20 math Internet resources that support Algebra 1. The first 10 specifically relate to this lesson and the overall project theme of Algebra 1.

1. Khan Academy: This website has videos on just about every 6-12 grade math topic that is currently being taught. This is a great resource for any student who missed class or needs extra practice or reinforcement of any lessons. The site has videos that support all topics of Algebra 1 including: order of operations, linear equations, conversions from Celsius to Fahrenheit, and quadratics.

2. Explore Learning: "Gizmos! Online Simulations That Power Inquiry and Understanding" (Math and Science) This website actually breaks down simulation activities by state standards. There are interactive features that reinforce multiple Algebra 1 concepts including: order of operations, linear equations (writing and graphing), inequalities and absolute value. It would be an asset to any Algebra 1 course.

3. Edheads: "Edheads - Activate Your Mind!" Online Simulations (Math/Science) Most of the content on this site targets science or middle school, but there is a Weather Activity which would be a great supplement to an Algebra 1 unit on conversions.

4. Phet: "PhET Interactive Simulations" (Physics, Chemistry, Biology, Earth Science, Math) This site has countless simulations, in a wide variety of content areas. There are multiple applications that can be incorporated into an Algebra 1 curriculum including: graphing lines, curve fitting, probability, and projectile motion.

5. Purple Math: This site provides Algebra 1 lessons that emphasize the practicalities of understanding the questions and intelligently and simply arriving at the answers. Lessons are written with the student in mind. These lessons demonstrate dependable techniques, warning of likely "trick" questions, and pointing out common mistakes. The lessons are cross-referenced to help students find related material, and a "search" box is on every page to help them find what you're looking for. Every Algebra 1 topic is available including: order of operations, linear equations, conversions from Celsius to Fahrenheit and quadratics.

6. Math Bits: This web page a collection of on-line resources designed to be used by students and teachers (parents) in the study and review of a first course in high school Algebra 1. Materials are designed for the Common Core State Standards and the PARCC and SBAC assessments. There are multiple interactive features for students that reinforce order of operations, linear and quadratic equations.

7. Texas Instruments:

A teacher's collection of lessons and activities utilizing the Texas Instrument's graphing calculator (all models) specifically designed for an Algebra 1 course. This is a great resource to reinforce concepts with technology. The activities reinforce: variation, quadratics, and points/line/slope.

8. Common Core State Standards Initiative: Forty-four states, the District of Columbia, four territories, and the Department of Defense Education Activity (DoDEA) have adopted the Common Core State Standards. This site provides critical and specific information for any teacher who wants to make sure their lessons are in line with the current standards. Detailed information relating to Algebra 1 standards are provided.

9. Math is Fun: This website presents fun games and puzzles for almost every topic in Algebra 1. This is a great resource for any student who is struggling to connect to a concept or needs extra practice or reinforcement of any lessons. The site has games and puzzles that support all topics of Algebra 1 including: order of operations, linear equations, conversions, and quadratics.

10. S.O.S. Math: This is the oldest resource that I have used. Math Medics, L.L.C., have been on the forefront of the development of educational mathematical material for the internet since 1995. It is one of the most popular Mathematics sites on the World-Wide Web. The site provides multiple resources and practice problems (with detailed solutions) for Algebra 1. Some of the key topics covered are: order of operations and all forms of linear and quadratic equations.

11. Ask Dr. Math, http://mathforum.org/dr.math/. A perfect site to research specific math questions.

12. Math Archives: This is a complete site where teachers and students may find virtually anything about Math on the Web.

13. Math2 org: This site features a variety of tables in diverse areas of math, a message board and a chat room.

14. Math Nerds: This site provides discovery-based, mathematical guidance via an international, volunteer network of mathematicians.

15. Cut the Knot: This site contains Interactive Mathematics Miscellany and Puzzles.

16. NCTM: National Council of Teachers of Mathematics. This site has countless resources for teachers looking for standards or lesson ideas for every level of mathematics.

17. Algebra Nation: A site dedicated to helping teachers and students succeed on the Algebra 1 End-of-Course exam (EOC).

18. Algebra-Class.com: A website with some simple algebra lessons for typical Algebra 1 class. Each lesson has a brief introduction followed by several examples with detailed explanations, and then a few practice problems.

19. Interactive Math: An extensive list of algebra lessons from Interactive Mathematics. Each section has an interactive quiz.

20. Math TV: Over 6,000 free, online video lessons for basic math, algebra, trigonometry, and calculus. Videos also available in Spanish. Also includes online textbooks.

**Extra Credit:**

A curated archive of math resources that you can possibly be used with for Algebra 1 content theme. The focus is on gathering any and all resources that may have a connection with Algebra 1.

Here is the link:

Symbaloo