Question

problem solving performance task
jases farm
jases farm has 9 chickens, each of which laid 3 eggs. jases farm has 4 horses. ednas farm has chickens that laid a total of 23 eggs. jase wonders whose chickens laid more eggs.

1. analyze and persevere what is a good plan to find whose chickens laid more eggs?
2. use pattern and structure what do you notice in the numbers shown in the bar diagram above? how can this help you solve the problem?
3. represent and connect use equations to show if jases or ednas chickens laid more eggs. how many more eggs did those chickens lay?
4. communicate and justify lucio says he can use counters to represent the number of eggs laid. explain how he could do this to find out whose chickens laid more eggs.

Explanation:

4.

Step1: Calculate Jase's chicken - egg total

Multiply number of Jase's chickens by eggs per chicken. Let the number of Jase's chickens be $n = 9$ and eggs per chicken be $e=3$. The total number of eggs $T_J$ laid by Jase's chickens is $T_J=n\times e$.
$T_J = 9\times3=27$

Step2: Compare with Edna's total

Compare $T_J = 27$ with Edna's total of 23 eggs. Since $27>23$, Jase's chickens laid more eggs.

Step1: Observe the bar - diagram

The bar - diagram shows 9 equal segments of 3 for Jase's farm, representing the 9 chickens each laying 3 eggs.

Step2: Use the observation

The repeated number 3 in the 9 segments helps in quickly realizing that we can use multiplication (9 times 3) to find the total number of eggs laid by Jase's chickens.

Step1: Calculate Jase's total

Let $J$ be the total number of eggs laid by Jase's chickens. $J = 9\times3=27$.

Step2: Calculate the difference

Let $E = 23$ be the total number of eggs laid by Edna's chickens. The difference $D$ in the number of eggs is $D=J - E$.
$D=27 - 23 = 4$

Answer:

A good plan is to first calculate the total number of eggs laid by Jase's chickens (by multiplying the number of his chickens by the number of eggs each laid) and then compare that total to the number of eggs Edna's chickens laid.

5.