9.1 Small Group · Group 1

Second Practice Form · Re-Teach, Homework or Retake · Same Standard, New Problems

independent variable · dependent variable · Procedural Fluency · Reasoning & Critique

Name: Date: Period: Learning Goal:

■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — Which quantity is doing the changing — and which is responding?

1The independent variable is subject to choice. The dependent variable changes in response to it.

When two quantities are related, one of them depends on the other. Naming which is which is the whole job of this lesson. We'll walk through a worked example, try one together, then you'll try a few with hints right there when you need them.

2Worked Example — Watch me sort Akela's experiment

The two quantities are hours of sunlight per day and average plant height after 3 weeks.
Akela CHOSE where to put each tray, so she chose the sunlight. Sunlight is subject to choice — that makes it the independent variable.
She did not choose how tall the plants got. Height responded. That makes height the dependent variable.
Say it as a sentence: plant height depends on sunlight.

3Mathematical Word Bank

independent variable (variable independiente) — The quantity that is subject to choice. It does not depend on the other quantity.
dependent variable (variable dependiente) — The quantity that changes in response to the independent variable.
depends on (depende de) — One quantity depends on another when changing the first causes the second to change.
quantity (cantidad) — Something that can be counted or measured.
relationship (relación) — How two quantities change together.

4Watch out

Naming the variables backward — calling the responding quantity 'independent' because it is the one the question asks about.

1 MULTIPLE CHOICE
A tray that got 2 hours of sun grew to 4 cm. A tray that got 6 hours grew to 12 cm. As sunlight increases, plant height…
1. Aincreases
2. Bdecreases
3. Cstays the same
4. Dcannot be determined
✏️ Workspace & Solution Steps
2 MULTIPLE CHOICE
You buy tickets at $45 each. Which quantity depends on the other?
1. ATotal cost depends on number of tickets
2. BNumber of tickets depends on total cost
3. CThe price per ticket depends on the total cost
4. DNothing depends on anything here
✏️ Workspace & Solution Steps
3 MULTIPLE CHOICE
A gym charges $24.95 per month. Which pair correctly names the variables?
1. AIndependent: months; Dependent: total cost
2. BIndependent: total cost; Dependent: months
3. CIndependent: $24.95; Dependent: months
4. DIndependent: months; Dependent: $24.95
✏️ Workspace & Solution Steps
4 MULTIPLE CHOICE
Claire jogs 30 minutes and burns 123 Calories. At the same rate, how many Calories would a 90-minute jog burn?
1. A369
2. B246
3. C410
4. D300
✏️ Workspace & Solution Steps
5 MULTIPLE CHOICE
Which of these pairs is NOT a dependent relationship?
1. ANumber of pizzas sold and number of employees the shop has
2. BNumber of pizzas sold and weekly cost of cheese
3. CHours jogged and Calories burned
4. DTickets bought and total cost
✏️ Workspace & Solution Steps
6 MULTIPLE CHOICE
A plant grows 2 cm for every hour of daily sunlight. Which table row is correct?
1. A4 hours to 8 cm
2. B4 hours to 6 cm
3. C4 hours to 2 cm
4. D4 hours to 4 cm
✏️ Workspace & Solution Steps

📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim

Starter: My mathematical claim is that the solution is...

E Evidence

Starter: The evidence from the model/table demonstrates that...

R Reasoning

Starter: This proves my answer because the standard mathematical definition of...

Student Mastery Self-Assessment:

1 · Need More Support

2 · Getting Closer

3 · Got It / Solid

4 · Master / Can Teach It