Solve Addition and Subtraction

EquationsActivity 13

Pick up a Notecard and write your NAME and PERIOD

Title Notecard: GOALS Answer the following questions: 1. What do I want to improve upon this

six weeks in math class? 2. How can I make sure I accomplish

this goal? Who will help hold me accountable?

(other then the teacher)

Tuesday 1/20 Warm-Up

Learning Targets

How many solutions are in an equation?

An equation is like a…

Today I can…1. Write a one-step addition equation to

model a situation2. Solve an addition equation

An equation only has one solution, the variable can only have one value.

Balance Scale

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-solving-equations/v/why-we-do-the-same-thing-to-both-sides-simple-equations

13-2 Solve Addition Equations

How do you keep things balance?

Inverse Operations

When solving an equation you are trying to…

How do you isolate the variable?

“What you do to one side you do to the other”

Operations that “undo” each other. For example subtraction “undos” addition and addition “undos” subtraction

Isolate the variable, get the variable on one side by itself

Use inverse operations

13-2 Continued

Write these in your notes for today

1. A soccer team has 11 players. There are 9 players on the field. Write an equation to represent the situation so that you may find how many players need to be on the field for the team.

2. Solve the following: 10.5 = x + 3.21

Wed. 1/21 Warm-Up

Learning Targets

What is an inverse operation?

Steps to Solve Equations

Today I can…1. Write an equation from a word problem2. Solve a subtraction equation

Operations that “undo” each other. For example subtraction “undos” addition and addition “undos” subtraction (Only Read this statement. Do not write)

3. Locate the variable (highlight or circle)4. Isolate the variable (get it alone)5. Use Inverse Operations to isolate6. Check Point (Check the solution)

13-4 Solve Subtraction Equations

Model a Subtraction Equation

Zero Pairs

Use the Steps to solve Algebraically

Practice

X – 11 = 27

The sum of two numbers that equal zero, when you add the opposite of the number. Ex : 1 + (-1) = 0 -2 + 2 = 0

17 = x – 7 x – 1.25 = 3.5

x – 5 = 23

13-4 Continued

P. 167 # 1 & 2

13-4 Continued Word Problems

A volleyball team has 6 players on the court during a game. This is 3 times the number of players on the court in beach volleyball. Find the number of players on the court during a beach volleyball game.

1- How would you solve this problem? 2- Try to write an equation that represents

this situation.

1/23 Warm-Up

Learning Targets

What would be the inverse operation of multiplication?

Coefficient

Steps to Solve Equations

Today I can…1. Write multiplication equations to

represent situations.2. Solve a multiplication equation

Division-To isolate the variable in a multiplication equation you DIVIDE both sides of the equation by the coefficient of x.

Is a number that multiples a variableEX. 4x (4 is the coefficient)

3. Locate the variable (highlight or circle)4. Isolate the variable (get it alone)5. Use the Inverse Operations of Division to

isolate6. Check Point (Check the solution)

14-2 Solve Multiplication Equations

Practice: 3x = 210 9x = 108

How do we solve multiplication equations with fractions?

Practice

Define VariableWrite EquationSolve EquationCheck Solution

Multiply by the RECIPROCAL (flip)

Ex. x = 21

x = = 35

x =

k = 20

Pencils cost $0.88 each. How many pencils can you buy for $13.20?

14-2 Continued

A punch recipe makes 24 servings of 6 ounces each. How many total ounces of punch does the recipe make?

1- Define the variable. 2- Try to write an equation that represents

this situation.

1/26 Warm-Up

Learning Targets

What would be the inverse operation of division?

Steps to Solve Division Equations

Today I can…1. Write division equations to represent

situations.2. Solve a division equation

MULTIPLICATION-To isolate the variable in a division equation you MULTIPLY both sides of the equation by the denominator.

3. Locate the variable (highlight or circle)4. Isolate the variable (get it alone)5. Use the Inverse Operations of

multiplication to isolate6. Check Point (Check the solution)

14-3 Solve Division Equations

Denominator

Practice

Define VariableWrite EquationSolve EquationCheck Solution

= 9

4 is the denominator

= 9

= 15

A candy bar cost $0.89. How much would it cost to buy 24 candy bars?

14-3 Continued