Math is Finding Patterns
Name Period
Objectives / Objetivos
Content Objective: I can find patterns and pattern rules, use them to make generalizations, and check my solutions with a table of values.
Language Objective: I can describe a pattern using the words pattern rule, generalization, and 'each number is ___ more than the one before it.'
Key Idea / Idea clave
Math Practices: Patterns & Generalizations. 1. Organize observations into a table of values. 2. Identify the constant change or rule connecting inputs to outputs. 3. Write a general rule or expression to predict future terms
Vocabulary / Vocabulario
| Term / Término | Definition / Definición |
|---|---|
| pattern patrón | Something that repeats or changes in a predictable way. Algo que se repite o cambia de una manera predecible. |
| pattern rule regla del patrón | The instruction that tells how to get from one number in a pattern to the next. La instrucción que dice cómo pasar de un número del patrón al siguiente. |
| generalization generalización | A statement that is true for a whole pattern, made by noticing repeated calculations. Una afirmación verdadera para todo un patrón, hecha al notar cálculos repetidos. |
| table of values tabla de valores | A table that lists each step of a pattern so you can check that a solution is reasonable. Una tabla que muestra cada paso de un patrón para comprobar que una solución es razonable. |
| reasonableness sensatez del resultado | Whether an answer makes sense — checked as you work, with adjustments made when needed. Si una respuesta tiene sentido — se comprueba mientras trabajas y se ajusta cuando es necesario. |
Practice Preview / Vista previa de práctica
Read each task. Show your work in the spaces provided and explain how you know.
1. Each penny has a value of $0.01. What is the value of 100 pennies?
- A $0.10
- B $1.00
- C $10.00
- D $100.00
Answer:
2. Player A had 18 points before making 10 two-pointers in a row. How many points does Player A have after the streak?
- A 20
- B 28
- C 38
- D 48
Answer:
3. Akela's jar totals $53.50. Why can the number of pennies only be a multiple of 5?
- A Because the total's cents end in 0, and only pennies make amounts that aren't multiples of 5 cents
- B Because pennies always come in rolls of 5
- C Because there are exactly 5 kinds of coins in the jar
- D Because $53.50 is divisible by 5
Answer:
4. If both players kept their streaks going, after how many MORE shots would Player B tie Player A?
- A 1 more shot
- B They can never tie
- C 2 more shots
- D 10 more shots
Answer:
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: