📌 Week 2| Choice Board

What is the Choice Board? 

This assignment gives you the freedom to select which activities you want to complete this week to show off your math skills!   

• This Choice Board assignment has a total of 9 activities that you can pick from.  
• Your goal is to complete at least 4 of the 9 activities by the end of the week.   
• Be sure to complete at least one choice with the brain symbol (🧠) and one choice with the muscle symbol (💪) beside it each week.
• On Monday, simply choose the Submit Assignment button, on Tuesday through Thursday, choose Re-Submit Assignment.  

For help submitting Choice Board Assignments, go to the Classroom Expectations and Organization page.

Choices for this Week:

🧠Choice #1:  Equivalent Expressions

^{Assignment Standard: A-SSE.2
Source: Illustrative Mathematics}

Directions:

Here are pairs of equivalent expressions- one in standard form and the other in factored form.  Find the missing numbers.

Submission: 

You can share your thinking each day by typing a response, taking a picture of your work, or recording yourself.  

💪Choice #2:  Equivalent Expressions

^{Assignment Standard: A-CED.1
Source: EngageNY}

Directions:

Here is a classic riddle: Mr. Smith has an apple orchard.  He hires his daughter, Lucy, to pick apples and offers her two payment options:

Option A: $1.50 per bushel of apples picked

Option B: 1 cent for picking one bushel, 3 cents for picking 2 bushels, 9 cents for picking 3 bushels, and so on, with the amount tripling for each additional bushel picked:

1. 1. Write a function to model each option.
   2. If Lucy picks 6 bushels of apples, which option should she pick?

Submission: 

You can share your thinking each day by typing a response, taking a picture of your work, or recording yourself.  

💪Choice #3:  Comparing Fractions

^{Assignment Standard: N-Q
Source: Underground Mathematics}

Directions:

Which is bigger, $\frac{2}{5}$ or $\frac{1}{3}$?

How do you know?  Is there more than one way of convincing yourself that one is bigger than the other?  

What if you had the fractions  $\frac{2x}{5}$ or $\frac{x}{3}$?

Would your answer be the same? 

Submission: 

You can share your thinking each day by typing a response, taking a picture of your work, or recording yourself.  

💪Choice #4:  Solving Quadratics

^{Assignment Standard: N-RN.B
Source: Illustrative Mathematics}

Directions:

Jada is working on solving a quadratic equation, as shown here.

$P^2-5P=0$

P(P-5)=0

P-5=0

P=5

She thinks that her solution is correct because substituting 5 for P in the original expression $P^2-5P$ gives $5^2$ -5(5), which is 25-25 or 0.

Explain the mistake Jada made and show the correct solutions.

Submission: 

You can share your thinking each day by typing a response, taking a picture of your work, or recording yourself.  

📌 Choice #5:  Math Mindset

^{Source:  YouCubed.org}

Directions:

First, watch the video below titled “Brains Grow and Change".

Next, write about how your brain can grow with math.  What did you learn from this experience? 

Submission: 

You can share your thinking each day by typing a response, taking a picture of your work, or recording yourself.  

🧠Choice #6:  Visual Patterns

^{Source: Visualpatterns.org}

1. 1. How do you see the pattern growing or changing?
   2. What does figure 10 look like?
   3. How many squares are in figure 43?
   4. Write an equation to express this pattern.

Submission: 

You can share your thinking each day by typing a response, taking a picture of your work, or recording yourself.  

🧠Choice #7:  Trigonometric Equations

^{Assignment Standard: F-TF.3
Source: Openmiddle.com}

Directions:

Using the digits 1 to 9 at most one time each, place a digit in each box to make the trigonometric equation below true:

Submission: 

You can share your thinking each day by typing a response, taking a picture of your work, or recording yourself.  

📌Choice #8:  Trigonometric Equations

^{Assignment Standard: S-ID
Source: Illustrative Mathematics}

Directions:

A teacher asks the students whether they studied for a quiz, then scores the quiz.  A relative frequency table displays some of the information they collected.

What does 86% represent?

Submission: 

You can share your thinking each day by typing a response, taking a picture of your work, or recording yourself.  

📌Choice #9:  Trigonometric Equations

^{Assignment Standard: A-REI.4
Source: Learn Zillion}

Directions:

The function h, defined by $h\left(t\right)=-5t^2+10t+7.5$, models the height of a driver above the water (in meters), t seconds after the diver leaves the board.  For each question, explain how you know.

1. 1. How high above the water is the diving board?
   2. When does the diver hit the water?
   3. At what point during her descent toward the water is the diver at the same height as the diving board?
   4.    When does the diver reach the maximum height of the dive?
   5. What is the maximum height that the diver reaches during the dive?

Submission: 

You can share your thinking each day by typing a response, taking a picture of your work, or recording yourself.