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PRE-ASSESSMENT (1st degree equations (4 short basic equations (single-step…

- - - - WHAT IF
        
        The students are given advanced word problems, in which they have to discuss how the results change if each variable, one at a time, increases or decreases. It allows the students to improve their reasoning skills and to understand better where the results of the equations come from
      - COMPLETE THE EQUATION
        
        The students are given parts of the equation and the result. They have to complete the equation, by writing the missing part. It allows them to improve their solving skills and gives them deep knowledge of the inside of the topic
  - - - PROBLEM SOLVING
        
        The students are divided in 4 groups consisting of 3 people and they are given a list of word problems. By cooperating, the students try to solve the problems. This activity develops solving problems skills and allows the students to improve their knowledge in a collaborative way
      - PICK 10
        
        The students are given a list of 30 equations. 10 of them are classified as short basic equations, 10 as long basic equations, 10 as advanced equations. Each correct short basic equation gives the students 1 point, each long basic equation 2 points, and each advanced equation 3 points. Each student has to choose 10 equations from this list, in order to get a minimum number of points that will be increased by the teacher day by day, according to the previous result of each student. In the first days, the students will try to stay in their “comfort zone”, without facing the advanced equations. Once they get familiar with the easy exercises, they will start trying the difficult ones. This is an individual activity, but, once the students check their results and get their score, they work in pairs in order to correct their mistakes and to try to understand how to solve the equations they did not pick because they considered them too difficult to solve
  - - - WORD ANALYSIS
        
        The students are given a list of “key words” that represent the main connections between English and Math. This allows them to create their equation, by realizing that, for example, the word “equals” has to be converted into the symbol “=”. Every time they find something new, a word or an expression, they will find their “translation” and will add them to the list
      - CREATE, SOLVE, AND EXCHANGE
        
        Once the students start getting familiar with the key words, they create their “own” exercises, solve them, and exchange them with their peers. This allows the students to collaborate, by getting the chance to improve their skills, and, while correcting their peers’ mistakes, they increase their English knowledge and their reading level
  - - - CALCULATOR GAME
        
        The students with special needs can use their notes and their lists of rules. The teacher gives them five equations with the results, but some of them are incorrect. The students have to check, by using the calculator, which ones are incorrect, by substituting the given result for the variable. This activity allows the student to practice a very efficient way of checking their results and to become familiar with a device that is very helpful
      - LET’S WRITE THE RULES
        
        There are students who struggle with memorizing the different methods they have to use depending on the specific situations. For example, the equations 2+x = 1 and 2x = 1 may seem similar, but, actually, the second is a single-step equation that can be solved just by dividing both sides by 2, whereas the first is another single-step equation, in which the students have to subtract 2 by both sides (the results are -1 for the first and 0.5 for the second). Rules like this may confuse the students, especially if they have special needs. This activity consists of writing down the different rules that apply to the different situations, and the list of the steps that need to be followed in order to solve the equations. This will reduce the student’s stress-level and will allow them to have a powerful tool that can help them during the following assessments