## Day 46 - Do Now - negative distribution, eval and order of ops - 2013 - 10.29.docx - Section 1: Do Now

*Day 46 - Do Now - negative distribution, eval and order of ops - 2013 - 10.29.docx*

# Stations in Balance

Lesson 7 of 23

## Objective: SWBAT solve one step equations using addition by traveling through four rotations of differentiated work.

#### Do Now

*15 min*

Students enter the room silently according to the Daily Entrance Routine. They find Do Nows on their tables awaiting them and there are two student names on the white board. I wait for everyone to sit silently and begin working and then ask those two students to go put up their work for the indicated problem. I remind all students that they are not to have a conversation with students displaying work on the board, even if they make a mistake!

We review question 1 where many students are likely to subtract 7 – 9 before distributing. This is a good time to review order of operations and the fact that the first step should be distribution. Question 2 is again a review of distribution as well as combining like terms to simplify. Many students are also struggling with the distribution of a negative which comes up in both of these problems. Students are asked, “what is being distributed?” In problem two, the answer is negative 1 and negative 4. Getting students to say the signs in the products of each problem is important because these are often the main reasons why these problems are missed.

Question three is a review of the use of the associative and commutative property to simplify. Students are asked to consider pairs of numbers that fit well together, and to explain why they go well together. How can we restructure the problem so that the numbers are easier to add? (**MP7**)

**Homework Check**

The answers to the HW assignment were provided on our class website. The answers are displayed again on the board and students are encouraged to ask questions about the work shown.

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#### Task

*20 min*

Four tables (groups of 8) are merged in a corner of the room. This task will rotate students through 4 different stations. I will be at the merged group of tables showing an example of solving an equation with a Learning Resources 4 pan algebra balance. At the other 3 stations I will have student Chelpers leading groups through word problems, combining like terms, and distributing to combine like terms. Each of these student chelpers will be given specific expectations to be upheld by all students. The choice of the chelper must therefore be strategic, a student who can be trusted to follow through.

The pan balance I am using at my station can show negative numbers weighing less than zero. We can also model simple equations on the balance such as #17:

x + 2 = 6

The subtraction on both sides of the equation can be shown on the scale by removing two chips from either side of the balance. A canister serves as a variable. There are multiple canisters to model multiplication later this week as well.

I continue to check in on the distribution of negative numbers with the part 1 answers. I have a smaller white board at the table of 8 where I show how to simplify step by step as shown in the examples below:

12) 3a – 7b – 1 ( 4a – 3b)

= 3a – 7b – 4a + 3b

= 3a – 4a – 7b +3b

= –a – 4b

13) 15x – y – 5 ( 3x – 2y + 5z)

= 15x – y – 15x + 10y – 25z

= 9y – 25z

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#### Closing

*10 min*

Students head back to their seats to continue working silently and independently. Students who answered 13 questions correctly will receive a homework pass.

Some errors I on alert about include ** distributing incorrectly** and

**.**

*combining terms that are not alike***should be put up on the board as they pose the most opportunity for error in both of these errors.**

*Question 4 - 7 and 11 - 13**expand content*

##### Similar Lessons

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- UNIT 1: Integers
- UNIT 2: Operations with Rational Numbers
- UNIT 3: Expressions and Equations - The Basics
- UNIT 4: Multi-step Equations, Inequalities, and Factoring
- UNIT 5: Ratios and Proportional Relationships
- UNIT 6: Percent Applications
- UNIT 7: Statistics and Probability
- UNIT 8: Test Prep
- UNIT 9: Geometry

- LESSON 1: Writing Algebraic Expressions
- LESSON 2: Four Brains are Better than One
- LESSON 3: Combine Like Terms
- LESSON 4: Distributive Property
- LESSON 5: Lights On or Off?
- LESSON 6: Matching Expressions
- LESSON 7: Stations in Balance
- LESSON 8: Partner Chelpers
- LESSON 9: Solving One-Step Equations with Rational Numbers
- LESSON 10: Whaddaya Know
- LESSON 11: Study and Solve with One Step Equations
- LESSON 12: Clicker Quizzes: Multiplicative Inverse in One Step Equations
- LESSON 13: Partner Chelpers: Equations in the form p - x = q
- LESSON 14: Two Step Equations in the Form px + q = r
- LESSON 15: Use of Bar Models to Represent px = q
- LESSON 16: Solving Equations with Fractions
- LESSON 17: Clear the Fractions!
- LESSON 18: Solving Two Step Equations with Binomials in Numerator
- LESSON 19: Verbal Models and Equations
- LESSON 20: Quiz + Area Models & Expressions
- LESSON 21: Literal Equations Scavenger Hunt
- LESSON 22: Let's Play Showdown! Writing and Solving Equations
- LESSON 23: Unit 3 Test