January 20 th - Your next hand-in day is Friday, January 24 th - Look at the following equations, and try to figure out what x equals: 2x = 4 2x = 8 3x = 9

- Algebra, Variables, Graphing -

This unit will help you develop an understanding of Algebraic Equations. This will help you prepare and practice for equations with variables. We will learn how to work with: - Algebraic Rules - Variables - Graphing

What Are They!? -A type of equation with variables (ex) y = 2x + 1 -When we solve it, we can graph it to form a straight line! Linear Equations. (2013). Uploaded by Math Is Fun. Available online at:

y = 2x + 1 -When x gets bigger, y gets bigger twice as fast -That’s why it is 2x -When x = 0, y = 1 -That’s why it is +1 Linear Equations. (2013). Uploaded by Math Is Fun. Available online at:

January 21 th - Your next hand-in day is Friday, January 24 th - Look at the following equations, and try to figure out what x equals: 2x = x = x = 9 + 9

y = 2x + 1 -What if x= (-1) -What if x= (0) -What if x= (1) Linear Equations. (2013). Uploaded by Math Is Fun. Available online at:

STOP! Before we can start, we need to learn/remember how to work with variables in equations Linear Equations. (2013). Uploaded by Math Is Fun. Available online at:

January 22 nd - Your next hand-in day is Friday, January 24 th - Look at the following equations, and try to figure out what x equals: 2x + x = 4 + 2x 7 + 2x = 8x + 4 3x = 9-3

January 23 rd - Your next hand-in day is Friday, January 24 th - Look at the following equations, and try to figure out what x equals: 2x x = x + 11 x + x = x + x =

Algebra Tiles -Linear equations can be modeled using algebra tiles -Rods (tall, skinny) -Represent variables -Cubes (short, square) -Represent constants (numbers we know) x -x 1

Algebra Tiles -Linear equations can be modeled using algebra tiles -Light Colours (green, yellow) -Represent positive integers -Dark Colours (red, black) -Represent negative integers x -x 1

Algebra Tiles Model example -2x + 5 -x

Algebra Tiles Who can show how to model: m + 6

Algebra Tiles Who can show how to model: – 2m + 7

Algebra Tiles Please show: 3m – 2 -6m + 4 4m – 3

Algebra Tiles Who can show how to model: – 2m + 7

Word Problems Dez is participating in a alpaca-racing contest. She gets 3 points for every race she wins. Because of a technical penalty, Dez lost 5 points. Dez is currently sitting at 19 points, how many races did she win?

Word Problems -Do we know how many races Dez has won? - Lets find a variable to represent this -She gets 3 points for every race she wins. -Lets factor in her 5 point penalty. -Dez’s alpaca racing can be represented by the equation 3x – 5 = 19

January 24 th - Your next hand-in day is Friday, January 24 th - Model the following using algebra tiles: 3x + 5 6x – 12 2x + 5 = 3x -2

Textbook Practice Questions: 5 (just solve for the variable) 6 (just solve for the variable)

January 28 th - Your next hand-in day is Monday, Feb 3rd - Model the following using algebra tiles and then solve for the variable x: 7x x – 4 4x + 10 = 2x -2

Station 1 Computer - Algebra Tiles Interactive - Equation Practice Centers!! In groups of 2-3 please: Station 2 Big Table Group - Conference - Station 4 Back Table Group - Textbook Practice Qs - Station 5 Couches - Hands-On Equations - Station 3 Middle Table Group - Word Problem Posters -

January 30 th - Your next hand-in day is Monday, Feb 3rd - Model the following using algebra tiles and then solve for the variable x: 12x + 2 = 26 -5x – 2 = 13 6x + 2 = 4x -2

Station 1 Computer - Algebra Tiles Interactive - Equation Practice Centers!! In groups of 2-3 please: Station 2 Big Table Group - Conference - Station 4 Back Table Group - Textbook Practice Qs - Station 5 Couches - Hands-On Equations - Station 3 Middle Table Group - Word Problem Posters -

February 3 rd - Hand-In Day!! - Create an original word problem that requires an equation with a variable in order to solve it. Please fully solve the problem you create.

Station 1 Computer - Algebra Tiles Interactive - Equation Practice Centers!! In groups of 2-3 please: Station 2 Big Table Group - Conference - Station 4 Back Table Group - Textbook Practice Qs - Station 5 Couches - Hands-On Equations - Station 3 Middle Table Group - Word Problem Posters -

Textbook Practice Page 331, Questions 5-15: When could we correct this together?

February 4th - Your next hand-in day is Monday, February 10 th - Model the following using algebra tiles and then solve for the variable x: 2x + x – x + 1 = x x – 2x + x = x + 5

February 5th - Your next hand-in day is Monday, February 10 th - Jesse brings 4 cakes for dessert. Erica brings 2 individual servings of dessert. Altogether, there will be 34 eating dessert & Mr. Morin makes sure each person only gets 1 serving. Create & solve an equation, to represent the number of pieces the cake must be cut into.

February 6th - Your next hand-in day is Monday, February 10 th - Model the following using algebra tiles and then solve for the variable x: 4x - 2x + 4 = x + 10 x + 3x - x = x x = 2x+ 1

Create an entry in your Interactive Notebook summarizing our introduction to Equations with Variables. Your entry needs to include: -Algebra Tiles (rods, cubes, positives, negatives, ex) -Word Problem (original, modeled, solved)

February 10 th - Hand-In Day!! February 4 th to Today - Alison thought of her favourite number. She subtracted 2. Then Alison multiplied the difference by 5. The product was 60. What is Alison’s favourite number?

The Distributive Property Landen is buying cookies that cost $2 each. He needs 19 cookies for everyone in his class but would also like some extras to give to his best friend. He has $56, how many cookies could he buy?

The Distributive Property -Do we know how many extra cookies he can buy? - Lets use a variable of “E” for extra - (E + 19) -Each cookie costs $2 - 2(E + 19) -He can spend up to $56 - 2(E+19) = 56

The Distributive Property -The distributive property states that a product can be written as a sum or as a difference of two products (ex) 2(28) = 56 2(9 + 19) = 56 2(9) + 2(19) = = 56

The Distributive Property -While we use the distributive property with equations, it can be really helpful for mental math too! (ex) 4 x 53 4(50) + 4(3)

February 11th - Your next hand-in day will be Tuesday, February 18th - Solve each equation using the distributive property. Show ALL of your steps please. 3(x + 5) = 36 4(p – 6) = 36

The Distributive Property -Practice Questions – - 3(x + 5) = 36 4(p – 6) = = 3(x + 4)

February 12th - Your next hand-in day will be Tuesday, February 18th - Solve each equation using the distributive property. Show ALL of your steps please. 7(x + 1) = 63 11(p – 7) = -22

The Distributive Property Complete the following questions in your textbook as practice, we will correct them together when done: Pg 347Qs: 4, 5, 6, 7, 9, 10, 14, 17

February 13th - Your next hand-in day will be Tuesday, February 18th - Solve each equation using the distributive property. Show ALL of your steps and verify please. 2(2x + 1) = 18 2(x + 4) + x = x + 12

February 18th - Hand-In Day!! A Mental Math from Feb 11 th to Today - Solve each equation using the distributive property. Show ALL of your steps and verify please. 2(x + 3) = 9 + x 2(2x + 1) = 3x + 8 2(2x + 3) = x + 9

February 19th - Your next hand-in day is Monday, March 3 rd - Create a word problem that requires you to use the distributive method in order to arrive at the answer. Please fully solve your question and verify your work.

February 25th - Your next hand-in day is Monday, March 3 rd - Copy & complete the table of values, given the equation: y = 2x-5 xy

What Are They!? -A type of equation with variables (ex) y = 2x + 1 -When we solve it, we can graph it to form a straight line! Linear Equations. (2013). Uploaded by Math Is Fun. Available online at:

What Are They!? -An equation/function is linear if the rate of change is constant between any two variables -The variables are points on the Cartesian Plane Linear Equations. (2013). Uploaded by Math Is Fun. Available online at:

What Do They Look Like? Linear Equations. (2013). Uploaded by Math Is Fun. Available online at: xy

What Do They Look Like? Linear Equations. (2013). Uploaded by Math Is Fun. Available online at: xy

What Do They Look Like? LINEAR! Linear Equations. (2013). Uploaded by Math Is Fun. Available online at: xy

What Do They Look Like? LINEAR! Linear Equations. (2013). Uploaded by Math Is Fun. Available online at: xy

What Do They Look Like? LINEAR! Linear Equations. (2013). Uploaded by Math Is Fun. Available online at: xy

What Do They Look Like? NON-LINEAR! Linear Equations. (2013). Uploaded by Math Is Fun. Available online at: xy

What Do They Look Like? NON-LINEAR! Linear Equations. (2013). Uploaded by Math Is Fun. Available online at: xy

February 26th - Your next hand-in day is Monday, March 3 rd - Using the following table of values, plot the coordinates on a Cartesian Plane. Is it a linear equation? Is so, is it positive or negative? xy

A New Formula! -The most common way to simplify linear equations is written as: y=mx+b Linear Equations. (2013). Uploaded by Math Is Fun. Available online at:

A New Formula! The equation of a linear relation is: y = -3x + 5 -Create a table of values -Plot the values on the table -Graph the line *In our formula, y = mx + b, what does each variable mean? Linear Equations. (2013). Uploaded by Math Is Fun. Available online at:

A New F ormula! Y = y-axis (how far up) X = x-axis (how far along) M = slope (how steep) B = where it crosses the y-axis Linear Equations. (2013). Uploaded by Math Is Fun. Available online at:

A New F ormula! M = slope (how steep) -Determined by rise run (ex) m = Linear Equations. (2013). Uploaded by Math Is Fun. Available online at:

Slope Music Video! mdbKk

Let’s Practice! 8&site=1&ref=/equation_of_line.html&qs=358_359_ 517_518_1156_1157_3204_3205_3206_3207

February 27th - Your next hand-in day is Monday, March 3 rd - Using the following table of values, plot the coordinates on a Cartesian Plane. Create an equation to represent the line. Hint* y=mx+b xy

February 28th - Your next hand-in day is Monday, March 3 rd - Using the following table of values, plot the coordinates on a Cartesian Plane. Create an equation to represent the line. Hint* y=mx+b xy

March 3 rd - Hand-In Day!! Pick a Mental Math from Feb 19 th to Mar 3 rd - Draw a negative line on a Cartesian Plane. Create an appropriate Table of Values that fits your line (3 points) Create an equation to represent the line. Hint* y=mx+b

March 4th - Your next hand-in day will be Monday, March 10 th - Draw a positive line on a Cartesian Plane. Create an appropriate Table of Values that fits your line (3 points) Create an equation to represent the line. Hint* y=mx+b

March 6th - Your next hand-in day will be Monday, March 10 th - Sam works as an adventure blogger. She is paid $5 per post plus $10 per hour for each hour that she works. She is only paid for whole hours (no half hours). An equation that relates her earnings to the number of hours she works is e=10n+5, where e represents her earnings and n is the hours worked. Create a table of values & graph Sam’s earnings.

Today’s Jobs 1)Finish textbook questions from the center activity -Page 363 -Questions 6(abc), 9, 11 2)Begin summative project for this unit -See handout -If you feel like you need more practice first, practice in workbook (I can help if needed)

March 7th - Your next hand-in day will be Monday, March 10 th - On a Cartesian Plane create TWO lines -One positive line -One negative line They can have different slopes (m-value) but must have the same b-value.

March 10 th - Hand-In Day moved to Wednesday, exit-slip today - Complete a table of values for the equation, y=-2x +5 Plot the line, is it positive or negative. Could you have plotted the line without creating a table of values? Explain.

March 12 th - Hand-In Day!! - Please state the new formula we have been using in the last half of this unit. In your own words, explain what each variable represents in this equation. Draw a graph to accompany your explanation.