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1.1 – Patterns and Expressions

1.1 – Patterns and Expressions. Students will be able to: Identify and describe patterns Lesson Vocabulary Constant Variable quantity Variable Numerical Expression Algebraic Expression. 1.1 – Patterns and Expressions.

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1.1 – Patterns and Expressions

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  1. 1.1 – Patterns and Expressions Students will be able to: Identify and describe patterns Lesson Vocabulary Constant Variable quantity Variable Numerical Expression Algebraic Expression

  2. 1.1 – Patterns and Expressions You can represent some patterns using diagrams, words, numbers, or algebraic expressions. Problem 1: Look at the figures from left to right. What is the pattern? What would then next figure look like?

  3. 1.1 – Patterns and Expressions Problem 1b: Look at the figures from left to right. What is the pattern? What would then next figure look like?

  4. 1.1 – Patterns and Expressions A mathematical quantityis anything that can be measured or counted. The value of the quantity is its measure or the number of items that are counted. Quantities whose values do not change are called constants. In other situations, the value of a quantity can change. Quantities whose values change or vary are called variable quantities.

  5. 1.1 – Patterns and Expressions

  6. 1.1 – Patterns and Expressions Tables are a convenient way to organize data and discover patterns. They work much like an “input/output” machine: a machine that takes one value as an input, processes it, and gives a value as an output. A process column in the table provides a way to understand what happens to the input values.

  7. 1.1 – Patterns and Expressions Problem 2: Use a pattern to answer each question. How many toothpicks are in the 20th figure? What is an expression that describes the number of toothpicks in the nth figure?

  8. 1.1 – Patterns and Expressions Problem 2b:Use a pattern to answer each question. How many tiles are in the 25th figure? Show a table of values with a process column.

  9. 1.1 – Patterns and Expressions Problem 3: Choose some points on the graph: (0, 2); (5, 7); (10, 12) Make a table using the input and output values Find a pattern in the process column. Each output is 2 more than the corresponding input value. You want 5 platys, 4 guppies, and 1 loach. So, you will have a total of 17 in. of fish. Find the output when the input is 17. Then choose 15 gall, 20 gall, or 25 gallon.

  10. 1.1 – Patterns and Expressions Problem 3: The graph below shows the total cost of platys at the aquarium shop. Use a table to answer the questions. How much do six platys cost? How much do ten platys cost? Why is the graph in the previous problem a line while the graph below is a set of points?

  11. 1.1 – Patterns and Expressions Lesson Check

  12. 1.1 – Patterns and Expressions Lesson Check

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