Ratios
Unit Rate
Proportional Relationships
Tables
Graphs
100
What is an example of a ratio?
Examples:
1 : 2
2 : 4
5 : 15
etc.
100
What does unit rate mean?
When a measurement of a ratio is simplified to a quantity of 1
(or any similar variation of this definition)
100
True or False (Verdadero o Falso):
For a table to be a proportional relationship, all the numbers on one side of the table must be multiplied by the same number to get the numbers on the other side of the table.
(Para que una tabla sea una relación proporcional, todos los números de un lado de la tabla deben multiplicarse por el mismo número para obtener los números del otro lado de la tabla.)
True (Verdadero)
100
True or false? This is a proportional table:
True
100
What is a coordinate plane?
A graph or grid system
200
If a recipe calls for 1 cup of water for every 4 teaspoons of sugar, what is the ratio of water to sugar?
1 : 4
200
Tricia reads 20 pages of her book in 2 hours.
What is the unit rate of pagers per hour?
10 pages per hour
200
Are these ratios proportional?
(¿Son proporcionales estas razones?)
1 : 2 and 6 : 12
Yes, 1 : 2 and 6 : 12 are proportional.
200
What makes a table a proportional? Explain.
All of the pairs in the table make equivalent fractions or have the same constant of proportionality
(or other varied answers)
200
What are the lines on a coordinate plane that we use to help us plot points?
(¿Cuáles son las líneas en un plano de coordenadas que usamos para ayudarnos a graficar puntos?)
x-axis and y-axis
(eje x y eje y.)
300
If the ratio of red marbles to blue marbles is 3:2, and there are 15 red marbles, how many blue marbles are there?
10 blue marbles
300
Sherry buys 8 red peppers for $4.40 and each pepper costs the same amount. What is the unit rate?
$0.55 or 55 cents
300
The two ratios are equivalent, find the missing value:
(Las dos razones son equivalentes, encuentra el valor que falta:)
9
300
Consider the table below:
How many dozens of cookies could you buy for $12?
3 dozens of cookies
300
Consider the graph below:
Is this graph a proportional relationship?
Yes
400
A map has a scale of 1 cm to 5 km. If the distance between two points on the map is 3cm, what is the actual distance?
(Un mapa tiene una escala de 1 cm a 5 km. Si la distancia entre dos puntos en el mapa es de 3 cm, ¿cuál es la distancia real?)
15 km
400
It costs $28.76 to buy 4 pounds of ham. How much does it cost to buy 6 pounds of ham?
$28.76 divided by 4 = 7.19
$7.19 x 6 = $43.14
400
Which graph is NOT proportional?
(¿Cuál gráfico NO es proporcional?)
D
400
Consider the table below:
What are the missing values for this table?
5 and 12
400
Graph the ratio 2 : 3 on the coordinate plane AND tell me what the equivalent ratio 6 : ____ should be.
6 : 9
500
Jayla ran the first 3 and 1/4 miles of a race in 1/2 hour. What was her average speed (rate) for this part of the race?
miles per hour = 3 and 1/4 divided by 1/2
= 6 and 1/2 mph = 6.5 mph
500
A runner completes a 5-kilometer race in 25 minutes. What is their unit rate in minutes per kilometer?
(Un corredor completa una carrera de 5 kilómetros en 25 minutos. ¿Cuál es su tasa unitaria en minutos por kilómetro?)
5 minutes per kilometer
500
Aaron really likes peaches and eats them at a rate of 5 per day.
If Aaron buys 55 peaches how many days will this last him?
11 days
500
Consider the table below:
How much would it cost to buy 18 pounds of apples?
$54
500
Consider the graph below:
(Considera el gráfico a continuación:)
State the reasons why all the lines on this graph are not proportional.
(Indica las razones por las que todas las líneas en este gráfico no son proporcionales.)
They are either not a straight line, they don't start at the origin, or both.
(O no son una línea recta, no comienzan en el origen, o ambos.)