Unit 4c Study Guide - Measurement & Data Reasoning (English)

🔑

Key Conversions to Remember

Memorize these!

📏 Length

1 km = 1,000 m

⚖️ Weight

1 kg = 1,000 g

⏰ Time

1 hour = 60 minutes

📝 Problem 1 3 points

Sofía y Antonia corren en el equipo de atletismo. Durante el fin de semana, Sofía corrió 4 kilómetros, y Antonia corrió 8,000 metros. ¿Cuántos metros más corrió Antonia en comparación con Sofía?

English: Sofia and Antonia run on the track team. Over the weekend, Sofia ran 4 kilometers, and Antonia ran 8,000 meters. How many more meters did Antonia run compared to Sofia?

✅ Solution:

Step 1: Convert Sofia's distance to meters
4 km × 1,000 = 4,000 m

Step 2: Subtract to find the difference
8,000 m - 4,000 m = 4,000 m

Answer: 4,000 meters

📝 Problem 2 3 points

La familia de MJ se muda a una nueva casa. MJ está empacando 9 tazas en una caja. Cada taza pesa 675 gramos. La caja tiene capacidad para 6 kilogramos. ¿Podrá la caja contener todas las tazas?

English: MJ's family is moving to a new house. MJ is packing 9 cups in a box. Each cup weighs 675 grams. The box can hold 6 kilograms. Can the box hold all the cups?

✅ Solution:

Step 1: Find total weight of cups
9 cups × 675 g = 6,075 g

Step 2: Convert box capacity to grams
6 kg × 1,000 = 6,000 g

Step 3: Compare
6,075 g > 6,000 g (cups are heavier than box limit!)

Answer: NO - The cups weigh 75g too much!

📝 Problem 3 3 points

El maletero del coche de Susie tiene una capacidad máxima de 8,719 gramos. Los comestibles que lleva en el maletero pesan 6 kilogramos. ¿Cuántos gramos más caben en el maletero?

English: Susie's car trunk has a maximum capacity of 8,719 grams. The groceries in the trunk weigh 6 kilograms. How many more grams can fit in the trunk?

✅ Solution:

Step 1: Convert groceries to grams
6 kg × 1,000 = 6,000 g

Step 2: Subtract from max capacity
8,719 g - 6,000 g = 2,719 g

Answer: 2,719 grams

📝 Problem 4 1 point

Michele preguntó a sus compañeros cuántas horas leían durante el fin de semana. El diagrama lineal muestra el tiempo que dedicaron a leer. ¿Cuál es la diferencia entre el momento en que hubo más estudiantes y el momento en que hubo menos estudiantes?

English: Michele asked her classmates how many hours they read over the weekend. The line plot shows the time they spent reading. What is the difference between when there were the most students and when there were the fewest students?

💡 How to Read Line Plots:

Each X represents one student
Find the value with MOST X's (most students)
Find the value with FEWEST X's (fewest students)
Subtract: Most - Fewest = Difference

Answer choices: A) 1/4 hours, B) 3/4 hours, C) 1 1/4 hours, D) 2 hours

(Need to see the actual line plot to solve)

📝 Problem 5 2 points

El jueves, Deangelo practica voleibol para 2 1/4 horas y luego jugó fútbol 38 minutos. Si empieza a practicar voleibol a las 2:45pm, ¿a qué hora terminará Deangelo de practicar voleibol y fútbol?

English: On Thursday, Deangelo practices volleyball for 2 1/4 hours and then plays soccer for 38 minutes. If he starts volleyball practice at 2:45pm, what time will Deangelo finish volleyball and soccer?

✅ Solution:

Step 1: Convert 2 1/4 hours to minutes
2 hours = 120 min, 1/4 hour = 15 min
Total: 135 minutes

Step 2: Add soccer time
135 min + 38 min = 173 minutes

Step 3: Convert back to hours and minutes
173 ÷ 60 = 2 hours 53 minutes

Step 4: Add to start time
2:45pm + 2 hours = 4:45pm
4:45pm + 53 minutes = 5:38pm

Answer: 5:38 PM

📝 Problem 6 1 point

¿Cuál es la masa más probable de 4 clips?

English: What is the most likely mass of 4 paper clips?

Choices:

A. 4 grams
B. 4 kilograms
C. 40 grams
D. 40 kilograms

✅ Solution:

Think: 1 paper clip ≈ 1 gram
4 paper clips ≈ 4 grams
(4 kg would be as heavy as a cat! 40 kg would be as heavy as a child!)

Answer: A. 4 grams

📝 Problem 7 2 points

Erinna necesita estar en la cena a las 6:30 p.m. Tardará 41 minutos en prepararse y 1 hora y 30 minutos en conducir hasta la cena. ¿A qué hora debería empezar a prepararse Erinna?

English: Erinna needs to be at dinner at 6:30 PM. It will take 41 minutes to get ready and 1 hour 30 minutes to drive to dinner. What time should Erinna start getting ready?

✅ Solution: (Work BACKWARDS!)

Step 1: Add up total time needed
41 min + 1 hr 30 min = 2 hours 11 minutes

Step 2: Subtract from arrival time
6:30 PM - 2 hours = 4:30 PM
4:30 PM - 11 minutes = 4:19 PM

Answer: 4:19 PM

📝 Problem 8 1 point

Steven mide la distancia que puede saltar. Anota las distancias de cada salto en la tabla. ¿Qué gráfico lineal muestra los datos mostrados correctamente?

English: Steven measures the distance he can jump. He records the distance of each jump in the table. Which line plot shows the data correctly?

💡 How to Match Data to Line Plot:

Count how many times each value appears in the table
That number = how many X's should be above that value on the line plot
Check each answer choice to find the match!

📝 Problem 9 4 points

Los alumnos de cuarto grado recolectaron dulces para compartir el Día de San Valentín.
Parte A: Saca una conclusión sobre los datos del gráfico.
Parte B: Determine cuántos chocolates y ositos de goma más se recolectaron que paletas y gomitas combinadas.

English: Fourth graders collected candy to share on Valentine's Day.
Part A: Draw a conclusion about the data from the graph. Use math data from the graph to support your reasoning.
Part B: Using the bar graph, determine how many more chocolates and gummy bears were collected than lollipops and gummies combined.

💡 Tips for Bar Graph Questions:

Part A: Make a statement like "The most popular candy was ___ because it had the tallest bar at ___"
Part B: Add chocolates + gummy bears, then add lollipops + gummies, then subtract

📝 Problem 10 9 points

Los estudiantes de una clase de arte estaban midiendo cintas de diferentes tamaños.
Parte A: Mida la longitud de cada cinta con una precisión de 1/2, 1/4 y 1/8 de pulgada.
Parte B: Cree un diagrama de líneas utilizando las medidas.
Parte C: Si los estudiantes solo quieren usar las cintas que miden más de 3 pulgadas, ¿cuántas cintas usarán?

English: Students in an art class were measuring ribbons of different sizes.
Part A: Measure the length of each ribbon to the nearest 1/2, 1/4, and 1/8 inch. Record each measurement.
Part B: Create a line plot using the ribbon measurements.
Part C: If students only want to use ribbons measuring more than 3 inches, how many ribbons will they use?

💡 Measuring to Fractions:

1/2 inch: The middle mark between whole inches
1/4 inch: Marks that divide the inch into 4 equal parts
1/8 inch: The smallest marks on a ruler (8 per inch)
Count the marks carefully from the start of the ribbon!

🎯

Test-Taking Tips

🔄 Conversion Problems:

Always convert to the SAME unit before comparing or calculating
km → m: multiply by 1,000
kg → g: multiply by 1,000

⏰ Time Problems:

For "what time will it end?" → ADD time to start
For "what time should I start?" → SUBTRACT (work backwards)
Convert hours to minutes when adding: 1 hour = 60 min

📊 Graph Problems:

Read labels carefully!
Count X's on line plots
Use numbers from the graph in your answer