Post on 19-Jun-2020
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.
Lesson 24 – True and False Number Sentences
Mastery of the Objective
To master the objective, you should be able to…
Lesson 24 – True and False Number Sentences
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
Lesson 24 – True and False Number Sentences
Steps substituting variables and evaluating expressions
1. Rewrite the expression
2. Substitute the variable
3. Solve
Examples!
Lesson 24 – True and False Number Sentences
Examples!
What does this symbol mean?
Lesson 24 – True and False Number Sentences
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.
Lesson 24 – True and False Number Sentences
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?
Lesson 24 – True and False Number Sentences
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?
Lesson 24 – True and False Number Sentences
Lesson 23 - 27 – Solving Equations
Homework this week is to complete 2
lessons of I – Ready
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?
Lesson 26: One – Step Equations – Addition & Subtraction
Mastery of the Objective
To master the objective, you should be able to…
Lesson 26: One – Step Equations – Addition & Subtraction
Guided Notes!
Find the solution to 8 – 2 = a.
Method 1: Tape Diagram
Lesson 26: One – Step Equations – Addition & Subtraction
Guided Notes!
Find the solution to 8 – 2 = a.
Method 2: Algebraically
Lesson 26: One – Step Equations – Addition & Subtraction
Guided Notes!
Find the solution to 8 – 2 = a.
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?
Lesson 26: One – Step Equations – Addition & Subtraction
Closure!
I can solve one-step equations involving addition and subtraction
algebraically and with a diagram.
Question!
Respond to this question in your math workbook or composition book.
What is the major difference between lesson 24 and 26?
Lesson 26: One – Step Equations – Addition & Subtraction
Lesson 23 - 27 – Solving Equations
Homework this week is to complete 2
lessons of I – Ready
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?
Lesson 27: One – Step Equations – Multiplication & Division
Mastery of the Objective
To master the objective, you should be able to…
Lesson 27: One – Step Equations – Multiplication & Division
Guided Notes!
Find the solution to 3z = 9 and 𝒚
𝟒= 2.
Method 1: Tape Diagram
Lesson 27: One – Step Equations – Multiplication & Division
Guided Notes!
Find the solution to 3z = 9 and 𝒚
𝟒= 2.
Method 2: Algebraically
Lesson 27: One – Step Equations – Multiplication & Division
Guided Notes!
Find the solution to 3z = 9 and 𝒚
𝟒= 2.
Use substitution to check your work!
Examples!
Lesson 27: One – Step Equations – Multiplication & Division
Closure!
I can solve one-step equations involving multiplication and division
algebraically and with a diagram.
Question!
Respond to this question in your math workbook or composition book.
How is solving addition and subtraction equations similar to and different
from solving multiplication and division equations?
Lesson 27: One – Step Equations – Multiplication & Division