- GeneralWelcome to Mrs. Brown's Algebra 1 class. Below is the Graded Course of study for Algebra 1. The syllabus and class expectations can be found under Topic 1 for Week 1. The E-Day practice will be opened when needed. It is under Topic 1 along with E-Day lessons.
E-Day Practice- Watch the video below and complete the substitution and elimination worksheethttps://www.youtube.com/watch?v=N3Fnb6GRb5ISolving by graphing substitution and elimination
- Unit 5- Systems of Inequalities
Unit 5- Systems of InequalitiesJanuary 31st-February 1st1. Now that students have solved inequalities on the number line and solved linear equations, they are able to graph inequalities in the two dimensional coordinate plane.
2. Students will first graph inequalities by finding the boundary line and determining if it is dashed (not included) or solid (included).
3. Students will pick test points for the inequality to determine if it is to be shaded above the boundary line or below it.
4. Students will use rulers to draw the boundary lines as accurately as possible.
The homework is to complete the Inequalities Treasure Map and find where the treasure is hidden.
February 2nd and 6th
1. Students will solve systems of Equations using substitution by following the example and problems on the Scary Skidding worksheet along with the class.
2. When given a value for x or y, the students will substitute it in the other equation and solve for the other variable.
3. When given coefficients of 1 or another number for the variables x and y, the students will solve for one variable in terms of another and substitute the expression for the variable in the other equation.
The homework is to complete Worksheet 7.4 Day 1 problems 1-6 all.
February 3rd is a white day and the students will do a DESMOS or Geogebra activity involving systems of equations or inequalities.
- Unit 6- Solving Systems of Equations
Unit 6- Solving Systems of EquationsFebruary 7th and 8th
1. Students will solve systems of equations using elimination and complete problems on the Golden Champion worksheet along with the class.
2. Students will add or subtract the equations or a multiple of the equations (the equation multiplied by a scalar) to eliminate one of the variables and solve for the other.
3. They will substitute that value into the other equation to find the other value.
4. They will write the solution as an ordered pair where the equations of the line would intersect and check it.
The homework is Worksheet 7.5 problems 1-6 all.
February 9th and 10th
1. Students will find the point of intersection for two linear equations by graphing. The instructions for checking problems 1-6 on page 7.1 using Geogebra and the Ti-graphing calculator are given on the worksheet.
2. Students will understand that just as in solving equations, there can be one solution (if the lines intersect) or no solution (if the lines are parallel), or infinite solutions (if the lines have the same slope and same y-intercept).
3. The students will do problems 1-2 on worksheet 7.1 by hand first and then check it using the graphing calculator. It is difficult to graph decimal and fractional numbers by hand. The calculator is more accurate as to finding the specific point of intersection of two lines.
The homework is problems 3-6 on worksheet 7.1.
- Unit 7 Exponents
Unit 7 ExponentsFebruary 13th and 14th
Students will begin working on Exponential Equations today- Unit 7
1. Today will be an investigation of using exponential equations in real-life situations after a brief review of exponent basics.
2. The students will complete the guided notes of pages 1-2 of the new Exponent Booklet through teacher instruction.
3. After the notes are completed, the students will try practice problems 1-9 of the worksheet Exponential Functions Day 1.
4. The students will watch the video U7L1A Exponential Functions for Real Life Situations and complete pages 3-6 of the Exponential Booklet guided notes. The notes cover the problems and solutions only, not the tables and graphs. Those should be left blank and will be covered at the next class session.
5. Students will then complete problems 10-16 of the worksheet for homework due at the next class session.
The homework is Worksheet 1 Tier 3 problems 1-16 all.
February 15th and 16th
1. The students will complete the tables and graphs that accompany the real-world exponential problems on pages 3-6 of the guided notes in the Exponential Booklet on pages 3-6 through teacher instruction.
2. The students will work in their groups to solve the three real-world problems on the graph paper on the board involving company profits and business plans.
3. Once the group leader turns in the problems, the students will explore how to multiply exponents
4. They will watch the video U7L2 The Multiplication Rule of Exponents. The video will give examples and the students will pause to try some problems of their own to practice.
5. They will see examples of problems 1,3,5,7 and try problems 2,4,6,8 in the booklet.
6. They complete the 17 practice problems for multiplying exponents for homework due at the next class session.
The homework is Worksheet 2 Tier 3 problems 1-17 all.
1. Students will work in their groups to play the game Switch "Em and they will find the table, graph and equation that models the relationship between number of game pieces and number of moves to win the game.
2. After the leader turns those in, the students will be begin learning the Quotient Rule for Exponents.
3. Students will watch the video U7L3 The Quotient Rule and complete pages 7-8 of the guided notes.
4. They will watch examples of problems 1,3,6 on the video and try problems 2,4,5,7,8 in the workbook while pausing the video.
5. As a class we will derive where the quotient rule comes from and how it is used.
6. There will be a quiz over multiplying and dividing with exponents at the next class.
The homework is problems 1-16 all of Worksheet 4 Tier 3, using the Quotient Rule.
February 24th and 27th
1. Students will work in groups with unit cubes to solve the Staircase Problem and find the table, graph and equation that models the relationship between the height of the stairs and the number of total stairs needed for that height.
2. After the leader turns this in and going over the homework, the students will take the quiz over multiplying and dividing exponents.February 28th and March 1st
3.Today, students will be learning how to raise a power to a power for Exponents.
4. Students will watch the video U7L4 Power to a Power for Exponents and complete pages 9-10 of the guided notes.
5. They will watch examples of the problems 1,3,6,7 on the video and try problems 3,4,5,8 in the workbook while pausing the video.
6. As a class, we will derive where the rule for power to a power came from and how it is used.
The homework is problems 1-15 all of Worksheet 5 Tier 3, power to a power.
1. The students will investigate working with zero and negative exponents to simplify exponential expressions.
2. Students will watch the video U7L5 Zero and Negative Exponents and complete pages 11-12 of the guided notes.
3. Students will watch and complete examples 2 and 4 in the workbook and then pause the video to try problems 1,3, and 5 in the guided notes.
4. As a class, we will derive where the rules for zero and negative exponents come from and how they are used.
5. In their groups, students will complete a quiz on solving exponential growth problems.
6. The students will continue in groups to do use Cuisenaire rods to build trains and find the exponential relationship and how they can use Pascal's triangle also to solve these problems.
The homework is problems 1-16 all of Worksheet 6 Zero and Negative Exponents.
March 2nd and 3rd
1. Students will use skittles to represent skeeters whose growth factor depends on being exposed to light. Each shake of a container will represent one exposure. When the lid is open and the s side up, then the population of skeeters is counted.
2. They will use the ti-graphing calculator to find an exponential regression equation for their findings.
3. Students will do real-world problems to see how the exponential growth and decay equation y=abx is used and what each part of the equation means.
4. Students will do problem number 4 of the testing packet for the Ohio Test which involves exponential growth.
5. Banking problems involving exponential growth will also be explored.
6. Students will continue to work in their groups to find the table and graph of five equations that model exponential growth or decay in real life by completing Worksheet 3, pages 1-2, problems 1-5 all.
After the experiment:
1. The students will be putting all the rules of exponents together to simplify multi-step expressions.
2. As a class, we will complete and discuss the practice problems on pages 13-15.
3. Students will take the Unit 7 exponents test at the next class.
4. Students will be filling in the blanks for Test Exponents and Radicals Part I today as a rules workbook to use on the test.
5. Students will have the Unit 7 test at the next class over adding, subtracting, multiplying and dividing with exponents and simplifying and solving real-world exponential problems using tables, graphs and equations.
6. Student notebooks will be collected and graded next class.
The homework is problems 1-20 of the Exponential Review for the Unit 7 test.
March 7th and 8th
1. The class will go over the Unit 7 review before taking the test to see if there are any concerns, confusion, clarification or questions.
2. Student will try problems from the "Putting it all together" in page 13-15 of their notes. They will review problems 1,3,4,6,8,9,14.
2. Students will take the Unit 7 test over Exponentials.
3. Students will turn in notebooks for a grade.
4. After the test, students will graph five exponential functions using their graphing calculators.
March 9th the students will be taking a trip to Indiana University East.
March 10th the students will work on the Tower of Hanoi Problems using eight disks.
- Unit 8 Radicals
Unit 8 RadicalsMarch 21st and 22nd
1. Students will rewrite radicals using exponents.
2. After watching the U8-4 video of writing radical functions as exponential functions, and completing the guided notes on pages 9 and 10, the students will do the practice problems Tier 1: 1-13 all, Tier 2 1-15 all or Tier 3 1-18 all.
3. We will be going over Box and Whisker Plots with in preparation for the end of year algebra examination. We will graph the five point summary and investigate center, spread, shape and outliers of the data. We will then use the graphing calculators to compare two sets of data.
4. At the end of the bell, the students will take a quiz over Sections 1-3 of radicals.
March 23rd and 24th
1. Students will be able to graph radical functions.
2. They will watch the U8-5 video for graphing radical functions and complete the guided notes pages 11 and 12.
3. Students will do the practice problems WS 5 Graphing Radical Functions 1-5 with their collaborative groups. They will check the graphs using their graphing calculator. As a class we will investigate the transformations from the parent function: horizontal and vertical shifts and stretches and shrinks. April 3rd and 4th
1. Students will be able to solve equations involving radicals.
2. They will watch the U8-6 video for solving equations involving radicals and complete the guided notes pages 13-14.
3. Students will do the practice problems WS 6 Simplifying Radicals: Tier 1 1-12 all, Tier 2 1-17 all or Tier 3 1-20 all.
4. The students will turn in the red folders Unit 8- Radicals and these will be checked for a grade.
5. Students will work on Shrink Art to determine scale factors by ratio and proportion.
6. Students will work on the Color Square Logic problem.
April 5th and 6th
1. Students will move folder material to notebook and receive Booklet 9 for Unit 9 Quadratic Equations.
2. The class will go over practice problems from the radical and exponent unit.
3. Students will break into groups to investigate the parameters a,h,and k of exponential equations.
4. Students will work on posters to find the transformations of Exponential Equations and report to the class how their parameter changed the parent function.
April 7th and 10th
1. Students will solve problems 1-18 on the Review of Radicals worksheet.
2. The students will work on the Matrix Logic Challenge Problems packet.
- Unit 9 Quadratic Equations
Unit 9 Quadratic EquationsApril 11th and 12th
1. Students will watch video U6L1 Characteristics of Quadratic graphs and complete the guided notes pages 2-4.
2. Students will complete the practice problems to identify the vertex from the graphing form and find the axis of symmetry of a quadratic equation,U6L1, problems 1-9.
3. Students will investigate real-world problems of balloon launches to prepare for their rocket launch.
4. Students will review the AIR test problem as practice for the test as the last problem on the homework.
The homework is worksheet U6L1 Characteristics of Quadratic Graphs Tier 1: 2-7, Tier 2 1-8, Tier 3 1-9 all.
April 13th and 18th
1. The class will go over the homework problems from U6L1 problems 1-9.
2. Students will watch video U6L2D1 Graphing in Vertex form and complete the guided notes on pages 5-6.
3. Students will complete the practice problems to identify the vertex from the graphing form or graph the quadratic equation when given the graphing form.
4. Students will complete the problems on U6L2 Graphing in Vertex Form (Day 1) Tier 1: 1-11, Tier 2, 1-15 and Tier 3 1-9 all.
5. They will then watch video U6L2D2 Graphing in Standard Form and complete the guided notes pages 7-8.
6. Students will complete problems to identify the coefficients for the vertex formula and substitute x at the vertex in the quadratic equation to find y at the vertex.
7. Students will go over the last problem on the homework which is an Air test practice problem.
*There will be a quiz at the next class of the Vertex and Graphing Form or Quadratic Equations.
The homework is worksheet U6L2 Tier 3 problems 1-13 all.
April 19th and 20th
1. After going over the homework, the students will take the quiz over Graphing and Vertex Form.
2. Students will watch video U6L3 The Distributive Property and complete the guided notes on page 9 .
3. Students will complete the practice problems to learn how to multiply polynomials using the rules of exponents.
4.. Students will investigate the distributive property using Algebra tiles on the SmartBoard software and using the National Council of Teachers of Mathematics Illuminations website.
The homework is worksheet U6L3 Distributive Property Tier 1: 1-6, Tier 2 1-7, and Tier 3 1-8 all.
April 25th and 26th
1. The students will watch video U6L4 Finding the greatest common factor of a polynomial and complete the guided notes on page 10.
2. The students will work on the practice problems for finding the GCF.
The homework is worksheet U6L4 Factoring by finding the GCF Tier 1 1-7, Tier 2 1-11, and Tier 3 1-14 all.
April 27th and 28th
1. The students will take the quiz over the distributive property and multiplying polynomials.
2. The students will watch video U6L5D1 Factoring when a=1 complete the guided notes on pages 11 and 12.
3. The students will work on the practice problems 1-9 all for factoring with a coefficient of 1.
4. They will also watch the video U6L5D2 Factoring and Solving when a=1 and complete the guided notes on page 13.
The homework is worksheet U6L5D2 Factoring and Solving when a=1 problems 1-17 all.
2. The students will watch video U6L5D3 Factoring when a is not equal to one and complete the guided notes on pages 14 and 15.
3. The students will work on the practice problems 1-6 all for factoring when the coefficient of a is not one.
4. They will also watch the video U6L5D4 Factoring and Solving when a is not equal to one and complete the guided notes on page 13.
5. The students will first learn the ac method of factoring for coefficients other than one, then they will learn a method called the slide and divide method.
*Students will have a quiz at the next class.
The homework is worksheet U6L5D3 problems 1-12 all using various other methods.
1. The students will take the quiz over the methods of factoring polynomials.
2. The students will work in their groups to play the CLUE game where they go to various stations in the school and try to solve the quadratics problems and find out who committed the crime, in what quadrant, using what operation.
The Quadratics Clue Game.
May 1st and 2nd
1. The students will watch video U6L6 Writing Quadratics Given the roots and complete the guided notes on pages 16 and 17.
2. The students will work on the problems for writing the roots in factored form and then using the methods of multiplying polynomials to convert to the standard form of a quadratic equation: Tier 1: 1-11, Tier 2: 1-15 all and Tier 3: 1-17 all.
3. The students will review the graphs from the Quadratics Clue game.
The homework is worksheet U6L6 according to their level Tier 1-3 above.
May 3rd and 4th
1. Today the students will work on solving quadratics using the quadratic formula.
2. They will watch the video U6L7 The Quadratic Formula and complete pages 18-19 of the guided notes.
3. The students will identify the coefficients of a, b, and c to use in the Quadratic Formula.
4. The students will understand that there may be one solution, two solutions or a non-real solution (imaginary in fact) based on the number that is the discriminant.
The homework is worksheet U6L7 The Quadratic Formula Tier 1: 1-8, Tier 2: 1-12, Tier 3: 1-10 all.
1. The students will take a quiz over the Quadratic Formula.
2. The students will review the quadratics overall and all the formulas used and how they were derived.
3. The students will watch video U6L8 Overall Solving Quadratics and complete the guided notes on pages 20-23 all.
4. The students will work on the practice problems using the methods learned involving quadratics.
Homework is the worksheet U6L8 Overall Solving Quadratics Tier 1: 1-6, Tier 2: 1-8, Tier 3 1-10 all.
- Week 37 Water Bottle Rocket Launches
Week 37 Water Bottle Rocket LaunchesMay 9th and 10th1. The students will begin preparing for Friday's water bottle rocket launches by putting into practice what they have learned about quadratic equations.2. Together we will look at 3 examples of finding the vertex of a quadratic equation.3. Parabolic motion will be investigated on the graphing calculators.4. The Ti-nspire will also be used to explore projectile motion.
The homework is the Rocket Launch Vertex Worksheet 1-6 all.May 11th and 12thMay 12th
1. Students will make the calculations for the water bottle rocket launches.
2. Students will derive Euler's formula by completing the Doodle Packets.
3. Vi hart videos explain the art and math of doodling.
4. Students will turn in the data for calculating the water-bottle rocket height for a grade.
____________________________________________________________________________________________________Today is the culminating day for the integrated aerospace project for the 9th grade Physical Science and Algebra I classes.Launches will be during 1st, 2rd and 4th bell. One student will launch and two students will time. The students will use quadratic equations to determine the maximum height and speed of their teams rocket.The launches will be outside and all are welcome to attend.May 15thWe will be having a guest on Monday. His name is Dr. Baudendistel and he is an engineer at Wright Patterson Air Force Base. Here is what he plans to accomplish with us:- derive velocity/distance equations
- go outside to throw some water balloons
- come back in to show video of water balloon tosses
- use the equations to calculate height and distanceMay 17th1. We will be calculating the height of a projectile launched upward when the speed is given.2. We will also be calculating the speed of a projectile launched upward when the height is given.3. The students will be timing the entire launch of the projectile in order to determine the maximum height.4. All of these processes will be used to calculate the height of the water bottle rockets they built and launched in Mr. Swihart's science class.