Question

1. a. draw a group of 2 circles in the first box. draw six times as many circles in the boxes to the right. b. use the model to complete the sentence and multiplication equation. is 6 times as many as 2. = × 2 4. complete the descriptions and equations for each model. a. 4 circles times as many is times as many as 4. = × 4 b. 3 circles times as many is times as many as 3. = × 3 5. how are the multiplication equations you wrote in problem 4 alike? how are they different?

Explanation:

3.

Step1: Identify the multiplication - relation

We know that we need to find a number that is 6 times as many as 2.

Step2: Calculate the result

The number is \(6\times2 = 12\). So the sentence is "12 is 6 times as many as 2" and the multiplication equation is \(12=6\times2\).

Step1: Count the groups

There are 3 groups of 4 - circle sets below the single group of 4 circles.

Step2: Determine the multiplication - relation

The number of circles in the lower part is 3 times as many as 4. The number of circles in the lower part is \(3\times4=12\). So the sentences are "12 is 3 times as many as 4" and the multiplication equation is \(12 = 3\times4\).

Step1: Count the groups

There are 4 groups of 3 - circle sets below the single group of 3 circles.

Step2: Determine the multiplication - relation

The number of circles in the lower part is 4 times as many as 3. The number of circles in the lower part is \(4\times3 = 12\). So the sentences are "12 is 4 times as many as 3" and the multiplication equation is \(12=4\times3\).

Answer:

12 is 6 times as many as 2; \(12 = 6\times2\)

4.

a.