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**Contents:**

Day 6 Do the review from solving multi-step equations. Go through this lesson on radicals to refresh your memory on the topic. You could get a head start on the next lesson by watching the presentation. Day 7 Do the warm up, presentation, worked examples as necessary and practice for writing expressions and equations.

Day 8 Do the review from writing expressions and equations. Watch the Order of Operations video. Try some problems. If you need more of a reminder on how to do it, check it out at Khan Academy. Day 9 Do the warm up, presentation, worked examples as necessary and practice for solving for a specific variable. Day 10 Do the review from solving for a specific variable.

Read the lesson on properties of addition and do the guided practice. Then check your answers. Use the worked examples and topic text to help you. Complete the practice. Day 12 Do the review from absolute value.

You know the rules. Read the lesson on properties of multiplication and do the guided practice. Day 13 Do the warm up and presentation for solving absolute value equations.

Day 14 Do the review from solving absolute value equations. Read over these statements of equality. Match the terms and their definitions. Day 15 Use the tutor simulation to build a swimming pool. Day 16 Complete the project. Solve the four problems. For problem 4, discuss a project you would want to see done in your homeschool co-op, church, or community. Record 8 points 2 points for completing each problem. Day 17 Create a proposal.

Write it or create a presentation like described in the project assignment. Present your proposal.

If you wrote a proposal, present it without reading it. Record 5 points for completion. Day 18 Watch the presentation for inductive patterns. Day 19 Do the review from inductive patterns. Play Absolutely. Do the different levels.

Day 21 Do the review from representing patterns. Go through this lesson on radicals to refresh your memory.

Day 22 Do the warm up and presentation for representing functions and relations. Day 23 Do the review from representing functions and relations. Can you figure out these problems using the distributive property? Of course you can; just use your brain. Day 24 Do the warm up and presentation for domain and range. Day 25 Do the review from solving for domain and range. Simplify some fractions. Do you need a video on fractions? Day 26 Do the warm up and presentation for proportional functions. Day 27 Do the review from proportional functions.

Find some equivalent fractions. Do you need a fraction review video? Day 28 Do the warm up and presentation for linear functions. Day 29 Do the review from solving for linear functions. Subtract integers. Day 30 Do the warm up and presentation for non-linear functions. Day 31 Do the review from non-linear functions. Multiply and divide integers. Day 32 Complete the tutor session on snowboarding. Day 33 Roller coaster project You will be working on a roller coaster project over the next 4 days. Looking at this diagram and using what you have learned so far about functions and equations, can you identify which areas of track might be described by proportional, linear, and non-linear functions?

This is NOT asking you to write complicated functions. Can you identify an area that would be proportional? Do this worksheet to practice using an algebra function to solve a problem. This is also giving you an idea of how to graph a drop section of a roller coaster! You can check your worksheet answers. You can read over and start planning ideas for your project. You will be using the Dream Scream Machine worksheet to help you write a function for the tallest drop of your roller coaster.

You can also look at this grading rubric to see how it will be graded. Day 34 Do this worksheet to practice applying algebra functions to roller coasters. This worksheet is a further look into functions of the drop portion of a roller coaster. In part 1 you will substitute times into the drop function to find the height at that portion of the drop.

Read over the project again and start planning your project. Requirements: Completed worksheets demonstrating you understand algebraic functions applied to roller coasters Poster showing your roller coaster at least two hills and a loop , information about the highest drop, labels showing sections of various function types proportional, linear, non-linear Draw out your roller coaster. There needs to be at least two hills one of which you will be writing a function for the drop and a loop. You do not need to write functions for the other portions of this roller coaster.

You DO need to identify if there are areas that would be linear, non-linear, or proportional. Written report. Write a one-page paper that answers the questions from the Dream Scream Machine worksheet and discusses how your roller coaster uses functions. You do not need to know the equations for all the functions your roller coaster uses, but you should be able to identify which type of function describes specific sections of track proportional, linear, non-linear. Include graphs, tables like the table from the worksheet , and equations the equation for your highest drop to support your discussion.

This grading rubric will be used to score your presentation.

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Day 35 Work on your project. Requirements: Completed worksheets demonstrating you understand algebraic functions applied to roller coasters Poster showing your roller coaster at least two hills and a loop , information about the highest drop, labels showing sections of various function types proportional, linear, non-linear Written report.

Write a one-page paper that answers the questions from the worksheet and discusses how your roller coaster uses functions. You do not need to know all the functions your roller coaster uses but you should be able to identify which type of function describes specific sections of track proportional, linear, non-linear. Include graphs, tables, and equations to support your discussion. Day 36 Finalize your project and present it.

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Course summary. Algebra foundations.