Objective

By the end of this lesson, you will be able to understand and solve algebraic problems involving remainders of 1.

Materials and Prep

• Pencil
• Blank paper

No prior knowledge or preparation is required for this lesson.

Activities

1. Warm-up: Start by writing down the numbers from 1 to 20 on your paper.

   Now, for each number, divide it by 3. If the remainder is 1, circle the number. If the remainder is not 1, leave it uncircled.

   Once you have completed this for all the numbers, count how many numbers you circled. Write down the total number of circled numbers.

2. Guided Practice: Let's solve some algebraic problems involving remainders of 1.

   Example 1: 4x + 1 = 9

   To find the value of x, we need to isolate it on one side of the equation. Subtract 1 from both sides:

   4x = 8

   Now, divide both sides by 4:

   x = 2

   So, the solution to the equation is x = 2.

   Practice solving a few more similar equations with different values of x.

3. Independent Practice: Now, it's time for you to solve some algebraic problems on your own. Use the knowledge you have gained to solve the following equations:

   1) 3x + 1 = 10

   2) 2x - 1 = 7

   3) 5x + 1 = 16

   Check your answers by substituting the value of x back into the original equation.

Fourth Grade Talking Points

• "Today, we are going to learn about algebraic problems that involve remainders of 1."
• "We will start by practicing with some numbers and identifying which ones have a remainder of 1 when divided by 3."
• "Then, we will move on to solving algebraic equations with variables, where the solution will give us a remainder of 1 when substituted back into the equation."
• "Finally, you will get a chance to solve some equations on your own and check your answers."