Determine Equivalent Ratios Using Tables
Name Period
Objectives / Objetivos
Content Objective: I can use a ratio table to find equivalent ratios.
Language Objective: I can explain my table using the words ratio table, equivalent ratio, scale factor, and pattern.
Key Idea / Idea clave
Equivalent Ratios & Ratio Tables. 1. Multiply or divide both terms in a ratio by the same non-zero scale factor. 2. In a ratio table, rows and columns maintain the same proportional unit rate. 3. Use additive or multiplicative patterns to find missing values in the table
I Notice / Observo
- What two quantities are being compared in the recipe?
- What happens to both quantities when you double the recipe?
I Wonder / Me pregunto
- What if we only needed to make half the original recipe?
Vocabulary / Vocabulario
| Term / Término | Definition / Definición |
|---|---|
| Ratio Tables Tablas de razones | Tables that organize pairs of equivalent ratios. Tablas que organizan pares de razones equivalentes. |
| Ratio table Tabla de razones | A table of equal ratios that shows a pattern. Una tabla de razones iguales que muestra un patrón. |
| Equivalent ratio Razón equivalente | Two ratios that mean the same thing, like 1:2 and 2:4. Dos razones que significan lo mismo, como 1:2 y 2:4. |
| Scale factor Factor de escala | The number you multiply both parts of a ratio by to get an equal ratio. El número por el que multiplicas ambas partes de una razón para obtener una razón igual. |
| Pattern Patrón | A rule that numbers follow again and again. Una regla que los números siguen una y otra vez. |
| Additive pattern Patrón aditivo | Building new rows of a ratio table by adding each column's own constant amount, so the two columns grow together. Formar nuevas filas de una tabla de razones sumando a cada columna su propia cantidad constante, para que las dos columnas crezcan juntas. |
Practice Preview / Vista previa de práctica
Read each task. Show your work in the spaces provided and explain how you know.
1. A recipe uses 3 eggs for every 5 cups of flour. How many eggs are needed for 15 cups of flour?
- A 6
- B 9
- C 10
- D 12
Answer:
2. Complete the ratio table for lemon juice to water in Chef Reyes's lemonade recipe (1 cup lemon juice for every 4 cups water).
Complete each empty cell. Show your reasoning below.
| Pitchers | Lemon Juice (cups) | Water (cups) |
|---|---|---|
| 1 | 1 | 4 |
| 2 | ||
| 5 | ||
| 10 |
3. In a ratio table, the ratio of sugar to butter is 3:2. If you use 12 cups of sugar, how many cups of butter do you need?
- A 6
- B 8
- C 9
- D 10
Answer:
4. Find Devon's Mistake
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: