## Topic outline

- 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-Days
### E-Days

E-Day Practice- Watch the video below and complete the substitution and elimination worksheet

https://www.youtube.com/watch?v=N3Fnb6GRb5ISolving by graphing substitution and elimination - Week 32 Introducing Quadratic Equations
### Week 32 Introducing Quadratic Equations

April 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 18th1. 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. - Week 33- Using the distributive property to multiply polynomials and finding the GCF to factor them.
### Week 33- Using the distributive property to multiply polynomials and finding the GCF to factor them.

April 19th and 20th1. 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. - Week 34 Factoring Methods
### Week 34 Factoring Methods

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.

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The homework is worksheet U6L5D2 Factoring and Solving when a=1 problems 1-17 all.

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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. - Week 35 Finding roots and the Quadratic Formula
### Week 35 Finding roots and the Quadratic Formula

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.

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The homework is worksheet U6L7 The Quadratic Formula Tier 1: 1-8, Tier 2: 1-12, Tier 3: 1-10 all. - Week 36 Review of Quadratic Equations Overall
### Week 36 Review of Quadratic Equations Overall

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.

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Homework is the worksheet U6L8 Overall Solving Quadratics Tier 1: 1-6, Tier 2: 1-8, Tier 3 1-10 all.

May 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-*n*spire will also be used to explore projectile motion.

The homework is the Rocket Launch Vertex Worksheet 1-6 all.May 11th and 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.

____________________________________________________________________________________________________ - Week 37 Water Bottle Rocket Launches
### Week 37 Water Bottle Rocket Launches

May 12thToday 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.