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Module 4 lesson 9
1.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 1 March 24, 2014 Problem Set Lesson 8 Answers
2.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 2 March 24, 2014 MODULE 4 Expressions and Equaons Topic C: Replacing Leer and Numbers Lesson 9: Wring Addion and Subtracon Expressions Student Outcomes § Students write expressions that record addion and subtracon operaons with numbers.
3.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 3 March 24, 2014 Classwork Example 1 Create a bar diagram to show 3 plus 5. How would this look if you were asked to show 5 plus 3? Are these two expressions equivalent?
4.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 4 March 24, 2014 Example 2 How can we show a number increased by 2? Can you prove this using a model?
5.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 5 March 24, 2014 Example 3 Write an expression to show the sum of m and k. Which property can be used in Examples 1–3 to show that both expressions given are equivalent?
6.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 6 March 24, 2014 Example 4 How can we show 10 minus 6? § Draw a bar diagram to model this expression. § What expression would represent this model? §
Could we also use 6‐10 ? No, if we started with and tried to take away, the models would not match.
7.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 7 March 24, 2014 Example 5 How can we write an expression to show 3 less than a number? § Start by drawing a diagram to model the subtracon. Are we taking away from the 3 or the unknown? Hint: We are starting with some number and then subtracting away 3. § What expression would represent this model?
8.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 8 March 24, 2014 Example 6 How would we write an expression to show the number c being subtracted from the sum of a and b? § Start by wring an expression for “the sum of a and b” §
Now show c being subtracted from the sum.
9.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 9 March 24, 2014 Example 7 Write an expression to show the number c minus the sum of a and b. Why are the parentheses necessary in this example and not the others? Replace the variables with numbers to see if c – (a + b) is the same as c – a + b. let's try: a
= 1; b = 2; c = 3 c – (a + b) c – a + b Without the parentheses only a is being taken away from c, where the expression says that a + b should be taken away from c.
10.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 10 March 24, 2014 Exercises 1. Write an expression to show the sum of 7 and 1.5 . 2. Write two expressions to show w increased by 4. Then draw models to prove that both expressions represent the same thing. 3.
Write an expression to show the sum of a, b, and c. 4. Write an expression and a model showing 3 less than p.
11.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 11 March 24, 2014 5. Write an expression to show the difference of 3 and p. 6. Write an expression to show 4 less than the sum of g and 5. 7.
Write an expression to show 4 decreased by the sum of g and 5. 8. Should Exercises 6 and 7 have different expressions? Why or why not? The expressions are different because one includes the word “decreased by” and the other has the words “less than”. The words “less than” give the amount that was taken away first where the word “decreased by” gives us a starng amount and then the amount that was taken away.
12.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 12 March 24, 2014 Closing Please take out
your exit ticket for Lesson 9, close your binder, and complete the exit ticket. This will be collected.
13.
Module 4 Lesson 9 Writing Addition and Subtraction Expressions.notebook 13 March 24, 2014
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