Eureka Math Module 4 Topic G Solving Equations

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1 Eureka Math Module 4 Topic G Solving Equations Lessons 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.

2 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

3 Lesson Solving Equations Homework this week is to complete 2 lessons of I Ready MAP Test 3 Tuesday & Wednesday

4 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.

5 Lesson 24 True and False Number Sentences Mastery of the Objective To master the objective, you should be able to

6 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

7 Lesson 24 True and False Number Sentences Steps substituting variables and evaluating expressions 1. Rewrite the expression 2. Substitute the variable 3. Solve

8 Lesson 24 True and False Number Sentences Examples!

9 Lesson 24 True and False Number Sentences Examples! What does this symbol mean?

10 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.

11 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?

12 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?

13 Lesson Solving Equations Homework this week is to complete 2 lessons of I Ready MAP Test 3 Tuesday & Wednesday

14 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?

15 Lesson 26: One Step Equations Addition & Subtraction Mastery of the Objective To master the objective, you should be able to

16 Lesson 26: One Step Equations Addition & Subtraction Guided Notes! Find the solution to 8 2 = a. Method 1: Tape Diagram

17 Lesson 26: One Step Equations Addition & Subtraction Guided Notes! Find the solution to 8 2 = a. Method 2: Algebraically

18 Lesson 26: One Step Equations Addition & Subtraction Guided Notes! Find the solution to 8 2 = a. Use substitution to check your work!

19 Lesson 26: One Step Equations Addition & Subtraction 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 = h = 35 Why do you do the inverse operation to calculate the solution of the equation?

20 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?

21 Lesson Solving Equations Homework this week is to complete 2 lessons of I Ready

22 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?

23 Lesson 27: One Step Equations Multiplication & Division Mastery of the Objective To master the objective, you should be able to

24 Lesson 27: One Step Equations Multiplication & Division Guided Notes! Find the solution to 3z = 9 and y 4 = 2. Method 1: Tape Diagram

25 Lesson 27: One Step Equations Multiplication & Division Guided Notes! Find the solution to 3z = 9 and y 4 = 2. Method 2: Algebraically

26 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!

27 Lesson 27: One Step Equations Multiplication & Division Examples!

28 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?

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