: How can we use equality to solve linear equations?AIM Finish Reflection Sheets (Due Wednesday)HW:Do Now:Solve for x. 1. x + 6 = 13 2. x - 9 = 10 3. 2x = 10 4. x/2 = 8 We focused on solving one-step equations without the use of visuals. We used the important concepts and processes from previous lessons to solve for the value of a variable. Remember:Classwork:USE INVERSE OPERATIONS WHATEVER YOU DO TO ONE SIDE OF THE EQUATION, DO TO THE OTHER, TO MAINTAIN EQUALITY AFTER YOU SOLVE, CHECK YOUR ANSWER BY SUBSTITUTING IT BACK INTO THE ORIGINAL EQUATION : Resources: How can we reflect on work from this year?AIM Finish Reflection Sheets (Due Wednesday)HW:Do Now:Which topics do you understand best from this year? Why? Which topics do you struggle with the most this year? Why? Use the word wall as a reminder for topics. Students received and reviewed their midterms today. We discussed common errors and students could ask questions about mistakes. We continued portfolio work afterwards. Students selected three pieces of graded work that they will reflect on (with the reflection sheet) and then place back into portfolios later this week. Classwork:: Resources
: What are some strategies for solving linear equations?AIM Moving Straight Ahead p. 71, #12, 14HW:Do Now:Solve. a) 3x + 6 = 4x + 5 b) 6x + 3 = 3x + 12 We are still in the process of transitioning from pictorial representations of equations to algebraic representations with numbers and variables. Today's lesson focused on maintaining equality and using inverse operations to isolate variables. We again used pictures with bags and coins and steps to solve to connect the same steps to solve algebraic equations. More to come next week!Classwork:: Resources: How can we use the properties of equality to solve equations?AIM Moving Straight Ahead pp.70-71, #5-10HW:Do Now:Picture: (One pouch and four coins) = (Two pouches and 8 coins) How many coins are in each pouch? Ans: 4 coins per pouch We built upon yesterday's reasoning to write algebraic equations from pictures. We discussed how equality can be used to manipulate equations to find variable values (such as subtracting 3 three from both side of the equation, as was done in the DO Now).Classwork:: Resources: How can we use equality to solve problems?AIM Create and Solve 3 new coin problemsHW:Announcements:Do Now:Balance scale with two ounces on each side. a) What do you think will happen if we remove a 1 oz. weight from one side? b) How do you think it will be different if we removed a 1 oz. weight from both sides? Today's lesson was an introduction to equality which will be used to solve equations in the near future. The lesson centered on gold coins and pouches. Students were asked to find the amount of coins in each pouch when given the total value of the pouches and coins. They used properties of equality to simplify the picture and determine how many coins were in each pouch.Classwork: Resources How can we assess our understanding of relationships between two variables?AIM:Announcements: Prepare for other midtermsHW: Do Now:Please clear your desk of everything except for a pencil, calculator, and straight edge. Unit 3 - Quiz 1 (linear relationships)Classwork: Resources: How can we analyze relationships between two variables?AIM:Announcements: Linear relationships Quiz Tuesday 1/24/17HW: Do Now:A bowling ally charges $5 for shoe rental, and then $6 per game. How can you determine if the relationship between total cost and number of games is linear? Explain. Today class was about connecting graphs, tables, and equations to linear relationships. The common thread is that linear relationships have a CONSTANT RATE OF CHANGE. In a graph, a constant rate of change creates a line. In a table, a constant rate of change causes the numbers to change in the same predictable pattern. In an equation, if there is a number that multiplies by the independent variable to get the dependent variable, again, there is a constant rate of change thus a linear relationship. We look at taxi charges ($6 initial fee and $6 per mile), party planners ($8 per person plus $50 setup fee) and like scenarios. Classwork:Students should be able to extend their knowledge of proportional relationships. Remember, proportional relationships are linear relationships (has a constant rate of change) that happen to ALSO go through the origin. Resources:
How can we analyze relationships between two variables?AIM:Announcements: Linear relationships Quiz Tuesday 1/24/17HW: Do Now:A bowling ally charges $5 for shoe rental, and then $6 per game. How can you determine if the relationship between total cost and number of games is linear? Explain. Today class was about connecting graphs, tables, and equations to linear relationships. The common thread is that linear relationships have a CONSTANT RATE OF CHANGE. In a graph, a constant rate of change creates a line. In a table, a constant rate of change causes the numbers to change in the same predictable pattern. In an equation, if there is a number that multiplies by the independent variable to get the dependent variable, again, there is a constant rate of change thus a linear relationship. We look at taxi charges ($6 initial fee and $6 per mile), party planners ($8 per person plus $50 setup fee) and like scenarios. Classwork:Students should be able to extend their knowledge of proportional relationships. Remember, proportional relationships are linear relationships (has a constant rate of change) that happen to ALSO go through the origin. Resources:http://mymathuniverse.com/programs/cmp3/channels/12/channel_content_items/133 How can we assess our understanding of the first semester?AIM:Announcements: Prepare for midtermsHW: Do Now:Please clear your desk of everything except for a pencil, calculator, and Scantron. Midterm, Multiple Choice.Classwork: Look under the "Test Prep" section and "Resource" section for online resources. Important vocabulary words are also found in the "Vocabulary" section.Resources: How can we assess our understanding of the first semester?AIM:Announcements: Midterms are Wednesday and Thursday, January 18 & 19Prepare for midtermsHW: Do Now:Please clear your desk of everything except for a pencil and calculator Midterm, Extended Response.Classwork: Look under the "Test Prep" section and "Resource" section for online resources. Important vocabulary words are also found in the "Vocabulary" section.Resources: |
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