Homeschool Algebra 2 Handouts (by date, latest first)

Students are alive and paying attention when any discussion on money is involved.

These tasks tie together many units into one - Arithmetic Sequences and Series, Geometric Sequences and Series as well as Compound Interest and Financial Math.

In these tasks, (with complete answer keys), students get to practice their skills on all Sequences and Series. They then discover that we can use the same formula that is used to calculate the sum of a geometric series for the future value of an annuity. It is here that the real-life application of this section of mathematics comes to life.

This skill is a life skill that shows the real-life application of the topic of sequences and series in the financial world.

Arithmetic Sequences, Arithmetic Series, Geometric Sequences, Geometric Series, Compound Interest, Future Value, Present Value, Annuities, Mortgage Repayments, Investments. 

This task covers all the important topics in arithmetic sequences and series. The task contains all needed formulas.

Recurring formula, Explicit formula, first term a, constant difference d, Term n in the sequence, the sum of n terms of an arithmetic sequence.

This task covers the topic of Geometric Sequences and Series and makes the very important real-life link to Financial mathematics, compound interest, investments, present value, future value, annuities, mortgage payments, the value of single payments (investments) over time, the value of recurring payments (investments) over time.

Arithmetic Sequences, Sum of Arithmetic Series, Geometric Sequences, Sum of Geometric Series, Sigma-notation, Investments, Compound Interest, Annuities, Future Value, Present Value, Recurring Formula, Explicit Formula, constant difference, constant ratio, first term, n-th term, sum of n terms.

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No better exercise for children to do to cement all the Math they have learnt thus far.

So make sure you take advantage of this incredible resource, as it could keep them busy for quite a while!

These tasks, (with complete keys) help teachers and their students see in a powerful way where and how the math they do gets applied in real life. A sample of the 35 products include:

• Division, prime numbers and Encryption
• Trig and building a lean-to roof.
• Geometric Sequences and Financial investments
• Slope and building the right stairs for old people.
• Statistics and making informed consumer choices.
• Line of best fit and predicting Track world records.
• Logs, Ln, e and Financial investments
• Linear Equations and Optimization (Linear Programming)
• Exponents and Encryption
• Pythagoras and design and gardening

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This practical Real-Life Math exercise is perfect, as it shows students the real-World connection!

This fill-in tasks lets students calculate the future value of a $100 investment at the start of every month for one year. The future value of such an annuity of $100 is the real-life application of the sum of a geometric series. Compound Interest is the Real-Life application of Geometric Series.

Recurring investments (annuities) is a geometric series. The formula for the sum of a geometric series is therefore also the formula for the future value of an annuity. When students realize this, they never need to try to memorize two formulas. They also make the connection between the 2 sections of mathematics and realize that it is fact the same mathematics. 

Arithmetic Sequences, Arithmetic Series, Geometric Sequences, Geometric Series, Compound Interest, Future Value, Present Value, Annuities, Sum of an Arithmetic Series, Sum of a Geometric Series.

You might also not like to miss these two resources on Financial Math!

https://www.TeachShare.com/Product/Back-to-school-fun-Geometric-Series-Compound-Interest-and-Financial-Maths-II-6776727

https://www.TeachShare.com/Product/Back-to-school-Fun-activityCompound-Interest-Financial-Real-Life-Math-taskKey-6709989

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It is always a good strategy to review essential skills with your students, and this is right up there with the most essential!

Lots of practice to FOIL binomials well. This task builds up from basic multiplication of whole numbers to complex binomials. The six tasks build gradually in complexity and involves 1) multiplying whole numbers, 2) multiplying integers, 3) multiplying positive monomials, 4) multiplying positive and negative monomials with binomials, 5) multiplying binomials with leading coefficient of 1 and 6) multiplying binomials with leading coefficient different from 1.

Students will clarify the following topics through thorough practice:

• multiplying positive and negative numbers
• adding and subtracting like terms
• exponential laws

And here is another resource on Binomials that you may not want to miss!

https://www.TeachShare.com/Product/Back-to-school-Multiplying-Binomials-FOIL-Addressing-all-Basics-needed-7177307

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This resource (4 Tasks containing 16 problems) addresses the 2 important algebraic skills:

• To use a linear equation to generate one of the coordinates of an ordered pair.
• To use an ordered pair to solve an incomplete linear equation

This resource works great as ...

• an assessment exercise
• a task
• independent work
• distance learning
• math stations
• math centers
• homework

And, you can get more resources on Linear Equations here:

https://www.TeachShare.com/Product/Back-to-school-fun-Systems-of-Linear-Equations-5-Real-Life-activities-and-key-7397496

https://www.TeachShare.com/Product/Back-to-school-fun-Real-Life-Linear-Equations-Tasks-and-Linear-Programming-7361652

AS WELL AS THE MOST IMPORTANT ONE! 16 Skills all students must have!

https://www.TeachShare.com/Product/Back-to-school-Linear-Equations-16-Skills-Alg-2PreCalc-students-should-have-7231230

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Substitution is an invaluable skill in Algebra when working with the coordinate plane. This task card ensures that students get enough practice to move between complete equations and ordered pairs and incomplete equations and ordered pairs.

y=mx+b , slope, y-intercept, x-coordinate, y-coordinate, ordered pair

This 14-page printable resource (Task with complete key) addresses ALL essentials skills about linear equations, their graphs and their equations.

• Finding the equation given 2 points
• Finding the equation given one point and the slope
• Finding the slope
• Finding the x- and y-intercept
• Graphing the equation
• Finding a missing coordinate of a point
• Changing between standard en slope-intercept form
• Reading off slope and y-intercept from the slope-intercept form

This resource works great as ...

• an assessment exercise
• a task
• independent work
• distance learning
• math stations
• math centers
• homework
• constructive group work when introducing the topic.

And here are more resources in the Coordinate Plane series that you cannot forget!

https://www.TeachShare.com/Product/Back-to-school-Fun-Introducing-the-Coordinate-Plane-Real-Life-18-activities-8590523

https://www.TeachShare.com/Product/Back-to-school-fun-with-Math-The-Coordinate-Plane-A-Fun-Real-Life-Application-7090363

https://www.TeachShare.com/Product/Back-to-school-fun-with-Math-The-Coordinate-Plane-A-Fun-Real-Life-Application-7090363

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Linear Equations, Linear Functions, X-Intercept, Y-Intercept, Slope, Slope-Intercept Form, Standard Form

This task, (with complete key) includes solving linear inequalities, representing inequalities on a number line, expressing inequalities in interval notation and graphing two-variable inequalities on the coordinate plane. All these skills are properly practiced, mixed up and combined. The task addresses the topic in a way that will make all SAT and ACT questions on the topic easy to handle.

This resource works great as ...

• an assessment exercise
• a task
• independent work
• distance learning
• math stations
• math centers
• homework
• constructive group work when introducing the topic.

And, here are more resources in the Coordinate Plane that you must also get!

https://www.TeachShare.com/Product/Back-to-School-Classroom-Decor-Printable-Coordinate-Plane-82-printable-pages-7489424

https://www.TeachShare.com/Product/Back-to-school-Fun-Introducing-the-Coordinate-Plane-Real-Life-18-activities-8590523

https://www.TeachShare.com/Product/Back-to-school-fun-with-Math-The-Coordinate-Plane-A-Fun-Real-Life-Application-7090363

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Linear Inequalities, Solving Inequalities, Number Line, Interval Notation, Graphing Inequalities

This is the perfect Teacher Decoration for your Math classroom.

This product contains the 15 laws of exponents and logs most commonly used in any high school curriculum. Page 1 consists of 7 exponential laws (rules) and page 2 contains 8 logarithmic laws (rules).

The product can be used as part of your classroom decorations, as a bulletin board poster or handed out to students as a "cheat sheet" with a task.

You may also want to want to look at this!

https://www.TeachShare.com/Product/Back-to-school-Fun-activity-Comp-Interest-Exponents-and-Logs-Bundlekeys-6731721

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The Olympic Games is over, but, this activity will fit in perfectly to show children the Real-Life Mathematics application of data.

This product involves the real-life application of the mathematics of data, statistics, linear equations and substitution. It can be used as a(n) ...

• task for practice
• real-life practical application of linear equations
• assessment exercise
• challenging group work exercise to introduce data, statistics and lines of best fit

Students get to obtain the line of best fit for 4 different world records. They use these lines to make predictions of when these records will reach certain milestones. They also make exciting predictions of what the record for these events will be in the year 2050.

Also make sure that you include these next 2 products, as they also relate to the Games!

https://www.TeachShare.com/Product/Olympic-Games-Data-and-Statistics-Examining-the-Womens-800M-World-Record-7112256

https://www.TeachShare.com/Product/Olympic-games-Data-and-Statistics-Examining-the-400M-Hurdles-World-Record-7108965

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Children will love this group of activities, as it applies to the Real world that we live in.

This resource (tasks with complete key) covers 5 different real-life applications of linear equations. They include filling a pool, taking a road trip, paying off debt, earning a salary and renting a car.

This resource works great as ...

• an assessment exercise
• a task
• independent work
• distance learning
• math stations
• math centers
• homework
• constructive group work when introducing the topic.

Students will learn how to ...

• build an equation from given data
• substitute the given variable into the correct equation
• solving for the required variable

The SAT and ACT tests contain many questions consisting of real-life equations such as the ones in this task card. It will be excellent preparation for these two tests. The task card will also enhance students' understanding of the use of equations and substitution in real life.

And, you can also get the REST of the resources on Linear equations here!

https://www.TeachShare.com/Product/Back-to-school-fun-Real-Life-Linear-Equations-Tasks-and-Linear-Programming-7361652

https://www.TeachShare.com/Product/Back-to-school-fun-Systems-of-Linear-Equations-5-Real-Life-activities-and-key-7397496

AND, THE MOST IMPORTANT ONE! 16 skills all students must have.

https://www.TeachShare.com/Product/Back-to-school-Linear-Equations-16-Skills-Alg-2PreCalc-students-should-have-7231230

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A real-Life Math activity that children can do to practice Linear equations.

This resource (task with complete key) practices student's skills to solve a system of linear equations in at least the following three ways:

• With Algebra - elimination or substitution
• With Matrix Algebra
• With the graphs of each linear equation

The task gives four comprehensive problems that must be solved (or verified) with all three methods.

This resource works great as ...

• an assessment exercise
• a task
• independent work
• distance learning
• math stations
• math centers
• homework
• constructive group work when introducing the topic.

And, you can also get these resources also on Linear equations!

https://www.TeachShare.com/Product/Back-to-school-fun-Systems-of-Linear-Equations-5-Real-Life-activities-and-key-7397496

https://www.TeachShare.com/Product/Back-to-school-fun-Real-Life-Linear-Equations-Tasks-and-Linear-Programming-7361652

This is the most important one!

https://www.TeachShare.com/Product/Back-to-school-Linear-Equations-16-Skills-Alg-2PreCalc-students-should-have-7231230

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With this fun activity, students learn valuable real-Life Math lessons.

In this task, (with answer key), students invest $50 at the start of every month and then calculate the value of each $50 at the end of that year. The future value of an annuity like this $50 monthly investment is the real-life application of the sum of a geometric series.

Recurring investments (annuities) is a geometric series. The formula for the sum of a geometric series is therefore also the formula for the future value of an annuity. When students realize this, they never need to try to memorize two formulas. They also make the connection between the 2 sections of mathematics and realize that it is fact the same mathematics. 

Arithmetic Sequences, Arithmetic Series, Geometric Sequences, Geometric Series, Compound Interest, Future Value, Present Value, Annuities, Sum of an Arithmetic Series, Sum of a Geometric Series.

You also might not want to miss out on these resources on Financial matters!

https://www.TeachShare.com/Product/Back-to-school-fun-Geometric-Series-Compound-Interest-Financial-Maths-I-6776716

https://www.TeachShare.com/Product/Back-to-school-Fun-activityCompound-Interest-Financial-Real-Life-Math-taskKey-6709989

If you enjoyed this resource, please leave a REVIEW at your leisure, for other possible buyers to know how you have experienced it. Thank you so much!

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All Algebra 2, Pre-Calculus and Calculus students should have mastered a set of essential skills in previous courses - but they often don't. This resource has been thoroughly classroom-tested and will help you review these essentials quickly and effectively. I teach Algebra 2 and Pre-Calculus and plan to give this task as a DIY task for extra credit before EVERY unit this year.

Linear Equations and their Graphical representations are an integral part of any Algebra course. This resource (task, with checklist and complete answer key) makes sure that students practice the 16 essential skills needed.

Students will practice the following skills:

• moving fluently between the graphical, numerical (ordered pair) and algebraic representation of a linear equation.
• finding the slope given 2 points.
• finding the slope given the equation
• changing between standard and slope-intercept form
• finding the x- and y-intercept
• graphing the straight line
• finding the equation given 2 points
• finding the equation given 1 point and the slope
• and much more

This resource works great as ...

• an assessment exercise
• a task
• independent work
• distance learning
• math stations
• math centers
• homework
• constructive group work when introducing the topic.

And here are more resources in the Linear equations Series that you cannot forget!

https://www.TeachShare.com/Product/Back-to-school-fun-Systems-of-Linear-Equations-5-Real-Life-activities-and-key-7397496

https://www.TeachShare.com/Product/Back-to-school-fun-Systems-of-Linear-Equations-Algebra-Matrices-Graphing-7373327

https://www.TeachShare.com/Product/Back-to-school-fun-Real-Life-Linear-Equations-Tasks-and-Linear-Programming-7361652

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The tasks contain a complete checklist so that students (and their teachers and tutors) can be sure they possess all the skills required in Algebra 1 and 2, on the SAT and ACT examinations.

It is always a good idea to review essential skills with your students, and, for Algebra 2, this is definitely needed!

Function, Relation, Venn Diagram, Graph, Ordered Pair, Domain, Range, Function Notation, Composite Functions, Real-Life Functions.

This 8 page Functions and Relations task, (with complete answer key) covers all Algebra 2 Functions topics. It includes many real-life examples of functions and composite functions. The task includes:

• Venn diagrams
• Coordinate Graphs
• Sets of ordered pairs
• Domain and Range of functions
• Dependent and Independent Variables
• Functions Notation
• Composite Functions

Examples:

The hours you work is the independent variable. Your salary is the dependent variable.

The rainfall on a farm is the independent variable. The income from crops is the dependent variable for a farmer.

Some more Algebra 2 resources you might not want to miss!

https://www.TeachShare.com/Product/BTS-Teacher-Prep-48-Calculator-Tutorials-tasks-Fractions-Decimals-Roots-etc-6991817

https://www.TeachShare.com/Product/Back-to-school-Bundle-35-Real-Applications-for-Algebra-1-Algebra-2-Pre-Calculus-8678820

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This task, (with complete key) covers six calculations that can be done when given two points on the coordinate plane:

• Finding the Slope of the Line through the two points in the coordinate plane
• Finding the distance between the two points in the coordinate plane
• Finding the midpoint between the two points in the coordinate plane
• Finding the equation of the line through the two points in the coordinate plane
• Finding the equation of the hyperbola through the two points in the coordinate plane
• Finding the equation of the parabola through the two points in the coordinate plane

This resource works great as ...

• an assessment exercise
• a task
• independent work
• distance learning
• math stations
• math centers
• homework
• constructive group work when introducing the topic.

And, you have to get the other resources also in the Coordinate plane Series of resources!

https://www.TeachShare.com/Product/Back-to-school-Fun-Introducing-the-Coordinate-Plane-Real-Life-18-activities-8590523

https://www.TeachShare.com/Product/Back-to-School-Classroom-Decor-Printable-Coordinate-Plane-82-printable-pages-7489424

https://www.TeachShare.com/Product/The-Coordinate-Plane-Back-to-school-Fun-activity-to-Learn-Coordinates-of-Points-7061619

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Nothing get children listening than talk of money!

This printable resource includes a task and complete key, and is the perfect class activity!

It helps students to discover e by themselves and to apply it in the well known PERT-formula. They apply their knowledge of logs, ln and e in a worksheet with real-life financial problems with balances being boosted with more investments and depleted by withdrawals. Students also get to calculate the return on investments.

This resource works great as ...

• a discovery exercise
• an individual or group work task
• distance learning
• math stations
• math centers
• homework
• constructive group work when introducing the topic.

You may also like the following resources!

https://www.TeachShare.com/Product/Algebra-2-Calculus-15-Laws-of-Exponents-and-Logs-Classroom-Poster-or-Handout-8436891

https://www.TeachShare.com/Product/Back-to-school-Fun-activity-Comp-Interest-Exponents-and-Logs-Bundlekeys-6731721

https://www.TeachShare.com/Product/Back-to-school-funRSA-Encryption-Distributiv-Property-Exten-Euclidean-Algorithm-5976049

If you enjoyed this resource, please leave a REVIEW at your leisure, for other possible buyers to know how you have experienced it. Thank you so much!

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This Systems of Linear Equations resource (tasks with complete key) addresses FIVE real-life problems and their optimal solutions.

• Feeding patients in a hospital
• Renting vehicles at maximum profit
• Feeding rats in an experiment
• Taking optimal passengers on a cruise boat
• Selling eggs at the farmers' market for the most profit.

This work, also called linear programming, demonstrates how practical and applicable the algebra of systems of equations is in real life.

This resource works great as ... 

• an assessment exercise
• a task
• independent work
• distance learning
• math stations
• math centers
• homework
• constructive group work when introducing the topic.

You may also want to include these resources on Linear equations!

https://www.TeachShare.com/Product/Back-to-school-fun-Systems-of-Linear-Equations-Algebra-Matrices-Graphing-7373327

https://www.TeachShare.com/Product/Back-to-school-fun-Substitution-Ordered-Pairs-Linear-Equations-Coordinates-7358411

AND... OF UTMOST IMPORTANCE!!

https://www.TeachShare.com/Product/Back-to-school-Linear-Equations-16-Skills-Alg-2PreCalc-students-should-have-7231230

If you enjoyed this resource, please leave a REVIEW at your leisure, for other possible buyers to know how you have experienced it. Thank you so much!

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https://www.TeachShare.com/Store/Real-life-Mathematics

This product (Task with complete key) focuses on the relationship between graphs and polygons, the matrices of their coordinates and the relationships between their areas and the areas of a scalar dilation of their coordinates.

• What is the relationship in the area with a dilation of 2?
• What is the relationship in the perimeter with a dilation of 2?

This product can be used

• as an assessment
• as a groupwork exercise
• independent work
• as a project for a grade

This is a great activity to practice your skills on the subject matter!

You may also find this helpful.

https://www.TeachShare.com/Product/Back-to-school-fun-Systems-of-Linear-Equations-Algebra-Matrices-Graphing-7373327

If you enjoyed this resource, please leave a REVIEW at your leisure, for other possible buyers to know how you have experienced it. Thank you so much!

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Do you need a print and go color by number activity for students to practice their solving equation skills? This is a great resource and students will love the final result. There is a modified version to help guide those students who need extra assistance when it comes to working independently. Great for sub plans!

Included:

Solving Equations Color by Number (Two versions)

Answer Key

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Solving equations with variables on both sides Coloring Activity: This is an activity of 12 problems. Students solve the problem and find the matching answer. They then color the picture according to the color of the answer. There is a modified and non-modified version. The modified version guides students through the process of solving equations when variables are on both sides. This is a great way to differentiate when you have a gap between learning abilities in your class.

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