eureka math module 4 topic g solving equations · eureka math module 4 topic g solving equations...

Eureka Math Module 4 Topic G

Solving Equations –Lessons 23 - 27

6.EE.B.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

6.EE.B.7 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

Vocabulary

Numerical Expression – a statement consisting of ______________ and ________________

Algebraic Expression – a statement consisting of __________, ____________, and _____________

Number Sentence - a statement of equality (or ____________) between two numerical _________________.

Equation – a number sentence that states two ______________ are ______________.

Inequality – a number sentence that states two ______________ are _____________________.

Variable – a letter that represents an ________________ amount

Coefficient – a number attached to a ______________ in a ________________ expression

Constant – a number that ___________________________in a number sentence

Inverse Operation – the _______________ operation

Lesson 23 - 27 – Solving Equations

Homework this week is to complete 2

lessons of I – Ready

MAP Test 3 – Tuesday & Wednesday

Lesson 24 – True and False Number Sentences

• Standard:

– 6.EE.B.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

• Objective:

– I can write ____________ and ______________ symbols to determine if a number sentence is _________ or ____________.

• Guiding Question: – What is the difference between an equal sign and inequality symbols.


Mastery of the Objective

To master the objective, you should be able to…


Guided Notes!

Inequality and Equality Symbols

Symbol Phrase Meaning Example

< “is less than” a < 5

> “is more than” b > 5

≥ “is at least” b ≥ 5

≤ “is at most” a ≤ 5

= “is the same as” a = 5


Steps substituting variables and evaluating expressions

1. Rewrite the expression

2. Substitute the variable

3. Solve

Examples!


Examples!

What does this symbol mean?


Examples!

Steps!

1. Figure out what the variable is EQUAL to.

2. Substitute the value into the equation or inequality

3. Write the variable as an equation or inequality

4. Express the equality or inequality in words.


Closure!

5 + x = 8

Substituting 3 for x in the above number sentence made the number sentence

true.

What number can we substitute for a in 4a ≤ 16 to make the number sentence

true?

What values would make the number sentence false?


Closure!

I can use equality and inequality symbols to determine if a number sentence is

true or false.

Question!

Respond to this question in your math workbook or composition book.

What is the difference between an equal sign and inequality symbols?





MAP Test 3 – Tuesday & Wednesday

Lesson 26: One – Step Equations – Addition & Subtraction

• Standard:

– 6.EE.B.7 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

• Objective:

– I can solve ___________________ equations involving ____________ and _____________ algebraically and with a diagram.

• Guiding Question: – What is the major difference between lesson 24 and 26?


Guided Notes!

Find the solution to 8 – 2 = a.

Method 1: Tape Diagram


Guided Notes!


Method 2: Algebraically


Guided Notes!


Use substitution to check your work!

Closure!

John checked his answer and found that it was incorrect. John’s work is below.

What did he do incorrectly?

ℎ + 10 = 25

ℎ + 10 + 10 = 25 + 10

ℎ = 35

Why do you do the inverse operation to calculate the solution of the equation?


Closure!

I can solve one-step equations involving addition and subtraction

algebraically and with a diagram.

Question!


What is the major difference between lesson 24 and 26?


Lesson 27: One – Step Equations – Multiplication & Division

• Standard:

– 6.EE.B.7 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

• Objective:

– I can solve _______________ equations involving __________________ and _____________ algebraically and with a diagram.

• Guiding Question: – How is solving addition and subtraction equations similar to and different from solving

multiplication and division equations?


Guided Notes!

Find the solution to 3z = 9 and 𝒚

𝟒= 2.

Method 1: Tape Diagram


Guided Notes!


𝟒= 2.

Method 2: Algebraically


Guided Notes!


𝟒= 2.

Use substitution to check your work!

Examples!


Closure!

I can solve one-step equations involving multiplication and division

algebraically and with a diagram.

Question!


How is solving addition and subtraction equations similar to and different

from solving multiplication and division equations?


eureka math module 4 topic g solving equations · eureka math module 4 topic g solving equations...

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