Equivalent Ratios
Name Period
Objectives / Objetivos
Content Objective: I can find and check equivalent ratios using multiplication and division.
Language Objective: I can explain my reasoning using the words equivalent ratios, rate, proportion, and simplify.
Key Idea / Idea clave
Multiply or divide both numbers by the same amount to make an equivalent ratio.
I Notice / Observo
- What quantities are being compared in the recipe?
- What stays the same when you multiply both ingredients by the same number?
I Wonder / Me pregunto
- What if we needed to scale DOWN for just 4 people?
Vocabulary / Vocabulario
| Term / Término | Definition / Definición |
|---|---|
| Ratio Razón | A way to compare two amounts, like 3 to 2. Una manera de comparar dos cantidades, como 3 a 2. |
| Equivalent ratios Razones equivalentes | Two ratios that mean the same thing. Dos razones que significan lo mismo. |
| Rate Tasa | A ratio comparing two amounts with different units, like miles per hour. Una razón que compara dos cantidades con unidades distintas, como millas por hora. |
| Proportion Proporción | A math sentence saying two ratios are equal. Una oración matemática que dice que dos razones son iguales. |
| Simplify Simplificar | To make a ratio smaller while keeping the same comparison. Hacer una razón más pequeña sin cambiar la comparación. |
Practice Preview / Vista previa de práctica
- Which ratio is equivalent to 2:5?
- 4:10
- 3:6
- 2:10
- 5:2
- Sort these ratios — which are equivalent to 3:4 and which are not?
- Marcus earns $45 for every 3 hours of work. How much does he earn in 8 hours?
- $120
- $90
- $135
- $105
- Find Marcus's Mistake
- Step 1: Set up the ratio — 3 cups : 5 cups = ? : 20 cups
- Step 2: Find the multiplier — 20 ÷ 5 = 4
- Step 3: Apply to both parts — 3 + 4 = 7
- Step 4: Answer — 7 cups : 20 cups
Which step has the mistake? Explain it and write the correct work.
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: