Math is Finding Patterns

5.OA.B.3 · Unit 1 · Lesson 5

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 / TérminoDefinition / 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

  1. Each penny has a value of $0.01. What is the value of 100 pennies?
    1. $1.00
    2. $0.10
    3. $10.00
    4. $100.00
  2. Player A had 18 points before making 10 two-pointers in a row. How many points does Player A have after the streak?
    1. 38
    2. 28
    3. 20
    4. 48
  3. Akela's jar totals $53.50. Why can the number of pennies only be a multiple of 5?
    1. Because the total's cents end in 0, and only pennies make amounts that aren't multiples of 5 cents
    2. Because pennies always come in rolls of 5
    3. Because there are exactly 5 kinds of coins in the jar
    4. Because $53.50 is divisible by 5
  4. If both players kept their streaks going, after how many MORE shots would Player B tie Player A?
    1. 2 more shots
    2. 1 more shot
    3. They can never tie
    4. 10 more shots

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: