tailieunhanh - Lecture General mathematics: Lecture 3 - Ms. Fehmida Haroon

The main contents of this chapter include all of the following: Limits at infinity, the formal definition, proving using the definition. Inviting you refer. | General Mathematics ADE 101 Unit 2 LECTURE No. 9 Patterns as Fundamental to Understand Algebra Use of Patterns Patterns are an effective way to demonstrate the relationship between variables. Providing students with opportunities to analyze, model and extend patterns will help prepare them for algebra in higher grades. Today’s Objectives What is Pattern Something which repeat in the same order is called pattern. Types: Number pattern are of two types Repeating Growing Usually number patterns are growing patterns. Activity Make a pattern by adding 5 to the previous number and get the picture. 10 15 20 5 30 25 2 4 8 12 Find Out the missing number 51 52 54 57 Find Out the missing number Use toothpicks to make the continuous squares Activity Students should first identify that the number of squares starts with 1 and increases by 1. They will then determine that the number of toothpicks starts with 4 and increases by 3. This means that each new square in the pattern must be constructed using only 3 additional toothpicks. Based on this identified relationship students must construct each new square by starting with one side of a pre-existing square. Activity Tell students that a statue is shaped like a tower and is made of a single column of cubes A painter has been hired to paint all the cube faces that are visible. This would include the side and top faces as well. The bottom face of each cube is not visible. Students may build the model using multilink cubes or blocks. Ask students to create a table of values to record the number of faces that need to be painted on towers 1, 2, 3, 4 and 5 blocks high. Ask students to find the number of faces that would have to be painted for a tower containing 10 blocks. 20 blocks. Activity Four students could be seated around a square table, with one on each side. Tables could be added with another chair on either side in the pattern shown below. Activity Model a simple equation on a pan balance such as 3n = 9. Students can now add | General Mathematics ADE 101 Unit 2 LECTURE No. 9 Patterns as Fundamental to Understand Algebra Use of Patterns Patterns are an effective way to demonstrate the relationship between variables. Providing students with opportunities to analyze, model and extend patterns will help prepare them for algebra in higher grades. Today’s Objectives What is Pattern Something which repeat in the same order is called pattern. Types: Number pattern are of two types Repeating Growing Usually number patterns are growing patterns. Activity Make a pattern by adding 5 to the previous number and get the picture. 10 15 20 5 30 25 2 4 8 12 Find Out the missing number 51 52 54 57 Find Out the missing number Use toothpicks to make the continuous squares Activity Students should first identify that the number of squares starts with 1 and increases by 1. They will then determine that the number of toothpicks starts with 4 and increases by 3. This means that each new square in the pattern must be constructed .