8th Grade STAAR Math Review | TEKS 8.7(A) & 8.2(D) | Independent Practice
Name:
Date:
Period:
VOLUME FORMULAS (on your reference chart!):
Cylinder: V = B · h (B = πr²) | Cone: V = ⅓ · B · h (B = πr²) | Sphere: V = 4/3 · π · r³ DESMOS: Type the formula with ~ → Define known values → Leave V blank → Desmos solves!
ORDERING NUMBERS: Type each value on its own line as x = ___ | Vertical lines appear | Read LEFT → RIGHT = Least to Greatest
📌 REFERENCE — Volume & Surface Area Cheat Sheet
Part A: Volume with Desmos (Problems 1–4)
1 A cylindrical water tank at Fair Park has radius 6 ft and height 10 ft. Find the volume.
Shape: Cylinder | Formula: V = πr² · h
r =
h =
V = (solving for)
Line 1: V ~ π · r² · h
Line 2: r = ___
Line 3: h = ___
Line 4: V = (leave blank)
Answer: V ≈ ft³
2 A raspa (snow cone) cup is shaped like a cone with radius 4 cm and height 12 cm. Find the volume.
Shape: Cone | Formula: V = ⅓ · πr² · h
r =
h =
V = (solving for)
Line 1: V ~ (1/3) · π · r² · h
Line 2: r = ___
Line 3: h = ___
Line 4: V = (leave blank)
Answer: V ≈ cm³
3 A Mavericks basketball has a radius of 4.7 inches. Find the volume of the ball.
Shape: Sphere | Formula: V = 4/3 · π · r³
r =
V = (solving for)
Line 1: V ~ (4/3) · π · r³
Line 2: r = ___
Line 3: V = (leave blank)
Answer: V ≈ in³
4 ⭐ A traffic cone near Reunion Tower has radius 5 in and height 18 in. A cylindrical can has the same radius and height. How much MORE does the can hold?
Cone: V = ⅓ · πr² · h | Cylinder: V = πr² · h
Cone volume: V ≈ in³
Cylinder volume: V ≈ in³
Difference: − = in³
"The cylinder holds about _______ in³ more because ___________________________________."
📌 REFERENCE — Ordering Numbers with Desmos
Part B: Ordering Real Numbers (Problems 5–7)
5 Order from LEAST to GREATEST: 3.5, √10, π, 11/3
Line 1: x = 3.5
Line 2: x = √10
Line 3: x = π
Line 4: x = 11/3
Left → Right on number line:
< < <
6 Order from LEAST to GREATEST: √50, 7.1, 22/3, 7¼
Line 1: x = √50
Line 2: x = 7.1
Line 3: x = 22/3
Line 4: x = 7.25 (convert 7¼ to decimal!)
Left → Right on number line:
< < <
7 ⭐ Order from GREATEST to LEAST: 2³, √60, 7.8, 23/3
Type all 4 lines on your own:
Line 1: x = ___
Line 2: x = ___
Line 3: x = ___
Line 4: x = ___
GREATEST to Least (right → left!):
> > >
⚠ Careful — this one asks GREATEST to LEAST! Read right to left on the number line.
Part C: Mixed Review — All Week Skills (Problems 8–12)
8[Day 1 — Slope] A Dallas taco truck charges $2 per taco plus $1 delivery fee. Enter these points into Desmos and find the slope.
Check: Left side: 5() + 12 = Right side: 3() + 28 = Same? YES / NO
10[Day 3 — Functions] Is this a function?
x
2
4
6
2
8
y
5
9
13
7
17
Function? Circle: YES / NO Why?
11[Day 4 — Pythagorean Theorem] A kite string is 25 ft long. The kite is directly above a point 7 ft from where you stand. How high is the kite?
a = (ground)
b = (height — solving for)
c = (string = hypotenuse)
Line 1: a² + b² ~ c²
Line 2: a = ___
Line 3: b = (leave blank)
Line 4: c = ___
Answer: b = ft
12 ⭐ [Day 4 — Transformations] Triangle P(1, 3), Q(4, 3), R(1, 7). Reflect across the y-axis, then translate 2 units DOWN.
Step 1 Rule: (−x, y) | Step 2 Rule: (x, y − 2)
Original
After Reflect y-axis
After Translate Down 2
P(1, 3)
(, )
P''(, )
Q(4, 3)
(, )
Q''(, )
R(1, 7)
(, )
R''(, )
✅ Self-Check Before You Turn This In:
☐ Did I use the correct volume formula for each shape (cylinder, cone, sphere)?
☐ Did I type x = ___ for each value when ordering numbers?
☐ Did I read the number line in the correct direction (least→greatest OR greatest→least)?
☐ Did I use the right Desmos method for each mixed review problem?
