Level Up Teacher Guide Level Up Teacher Guide
8th Grade Math Assessment Prep • Tier 3 Instruction
Lesson Structure
5 min: Hook & Quick Review10 min: I Do (Modeling)10 min: We Do (Guided)5 min: You Do (Exit Ticket)
Strategy Focus
• Visual cueing (highlighting keywords)
• Process of elimination on MCQs
• Calculator check steps
• Chunking multi-step problems
Day 1
Variable Vault: Exponents & Functions
Topic 1: Power Rules (Exponents)
Focus on multiplication (add exponents) and negative exponents (flip it).
"Class, when we see a negative exponent, it's like a person standing on their head—they want to flip! \(5^{-2}\) becomes \(\frac{1}{5^2}\)."
Topic 2: Linear vs. Nonlinear
Identify by exponents. \(y = x + 2\) is linear. \(y = x^2\) is NOT linear.
"Check the power! If you see a little 2 or 3 on the x, it's not a straight line. It's a curve!"
Topic 3: Slope & Initial Value
Connect "Initial Value" to $500 deposits or start-up fees.
Day 2
Shape Shift: Geometry & Trends
Topic 1: Transformations
Key Vocabulary: Reflection (Flip), Translation (Slide), Dilation (Resize).
"Dilations change size. Reflections and Translations keep things congruent (same size, same shape)."
Topic 2: Scatter Plot Association
Identify Positive (Upwards), Negative (Downwards), or No Association.
Topic 3: Rational vs. Irrational
Irrational numbers are 'crazy' numbers like \(\pi\) or square roots of non-perfect squares (\(\sqrt{11}\)).
Tier 3 Tip: Always provide a 'cheat sheet' of perfect squares (1, 4, 9, 16, 25, 36) for questions like #12 and #30.
Level Up Day 1 Worksheet Level Up Review: Day 1
Exponents, Functions & Trends
Name:
Date:
Skill 1: Exponent Rules
The Rule:
When multiplying, ADD the exponents. If it's negative, it moves to the bottom .
1. Which expression is equivalent to \((5^{-2})^5 \times 5^4\)?
A. \(5^{12}\)
B. \(5^7\)
C. \(\frac{1}{5^6}\)
D. \(\frac{1}{5^{40}}\)
Show Your Work
Skill 2: Linear vs. Nonlinear
LINEAR
Makes a straight line. Ex: \(y = 3x + 5\)
NONLINEAR
Is curved. Has an exponent like \(x^2\).
2. Which statement explains the type of function represented by \(y = x^2 + 9\)?
A. Linear because it contains more than one term.
B. Linear because the variable \(x\) is raised to the second power.
C. Nonlinear because it contains more than one term.
D. Nonlinear because the variable \(x\) is raised to the second power.
Skill 3: Scatter Plot Trends
3. Look at the plot. As the Number of Days increases, what happens to the Number of Customers? What kind of association is this?
Positive (Both go up)
Negative (One up, one down)
None (Points are everywhere)
Days
Customers
Level Up Day 2 Worksheet Level Up Review: Day 2
Transformations, Roots & Solutions
Name:
Date:
Skill 4: Transformations
4. Trapezoid RSTU and trapezoid NMLK are congruent.
Which sequence of transformations will map RSTU onto NMLK?
A. A reflection over the \(y\)-axis, then a translation 1 unit right.
B. A reflection over the \(x\)-axis, then a translation 1 unit left.
C. A reflection over the \(y\)-axis, then a translation 1 unit down.
D. A reflection over the \(x\)-axis, then a translation 1 unit up.
x
y
RSTU
NMLK
Count the grid squares carefully!
Skill 5: Estimating Roots
5. The value of \(\sqrt{30}\) is between which two whole numbers?
A. 1 and 3
B. 4 and 5
C. 5 and 6
D. 6 and 7
Model the Thinking:
25
\(5^2\)
<
30
\(\sqrt{?}\)
<
36
\(6^2\)
Skill 6: Infinite Solutions
6. What value for the constant, \(h\), will result in an infinite number of solutions?
6x + 18 = h(3x + 9)
A. \(-2\)
B. \(-3\)
C. \(2\)
D. \(3\)
Secret Hack:
Infinite solutions means the sides are Twins!
Test Choice C:
Perfect Match!
Level Up Answer Key Answer Key
Level Up Review • Days 1 & 2
Day 1
Variable Vault
1. Exponent Rules
Correct Answer: C
Work: \((5^{-2})^5 \times 5^4\)
Power to a power (multiply): \(-2 \times 5 = -10 \rightarrow 5^{-10}\)
Multiply bases (add): \(-10 + 4 = -6 \rightarrow 5^{-6}\)
Negative exponent: \(\frac{1}{5^6}\)
2. Linear vs. Nonlinear
Correct Answer: D
Rationale: Any variable raised to a power other than 1 (like \(x^2\), \(x^3\), etc.) makes the function nonlinear (curved).
3. Scatter Plot Trends
Correct Answer: Positive Association
Rationale: As the x-axis (Days) increases, the y-axis (Customers) generally increases as well. The "line" of points goes uphill from left to right.
Day 2
Shape Shift
4. Transformations
Correct Answer: B
Rationale: The shape flips vertically (reflection over x-axis) and then slides slightly to the left to align with the target coordinates.
5. Estimating Roots
Correct Answer: C
Work: Identify the perfect squares around 30.
\(5^2 = 25\)
\(6^2 = 36\)
Since 30 is between 25 and 36, \(\sqrt{30}\) is between 5 and 6.
6. Infinite Solutions
Correct Answer: C (h = 2)
Work: \(6x + 18 = h(3x + 9)\)
Distribute the 2: \(2(3x) = 6x\) and \(2(9) = 18\).
Equation becomes \(6x + 18 = 6x + 18\). Both sides are identical.
Level Up Review Slides Level Up
8th Grade Math Assessment Review
Day 1: Variables & Trends
Day 2: Shapes & Roots
Power Rules (Exponents)
The Strategy
Power to a Power?Multiply the exponents.
Multiplying same base?Add the exponents.
Negative exponent?Flip it to the bottom.
(5-2)5 × 54
"Step 1: -2 times 5 is -10..."
Linear vs. Nonlinear
LINEAR
Straight Line
y = mx + b
NONLINEAR
Curve / Exponents
y = x2 + 9
Pro Tip: Look for that little "2" on the x!
Transformations
Translation
"Slide"
Reflection
"Flip"
Dilation
"Resize"
Same Size/Shape?
Translation Reflection Rotation
Estimating Roots
Question: What two numbers is √30 between?
5
52 = 25
√30
6
62 = 36
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Infinite Solutions
Make both sides EXACTLY the same!
6x + 18 = ?(3x + 9)
Distribute!
Match the numbers!
Level Up Day 2 Worksheet Revised Level Up Review: Day 2
Transformations, Roots & Solutions
Name:
Date:
Skill 4: Transformations
4. Trapezoid RSTU and trapezoid NMLK are congruent.
Which sequence of transformations will map RSTU onto NMLK?
A. A reflection over the \(y\)-axis, then a translation 1 unit right.
B. A reflection over the \(x\)-axis, then a translation 1 unit left.
C. A reflection over the \(y\)-axis, then a translation 1 unit down.
D. A reflection over the \(x\)-axis, then a translation 1 unit up.
x
y
RSTU
NMLK
Count the grid squares carefully!
Skill 5: Estimating Roots
5. The value of \(\sqrt{30}\) is between which two whole numbers?
A. 1 and 3
B. 4 and 5
C. 5 and 6
D. 6 and 7
Model the Thinking:
25
\(5^2\)
<
30
\(\sqrt{?}\)
<
36
\(6^2\)
Skill 6: Infinite Solutions
6. What value for the constant, \(h\), will result in an infinite number of solutions?
6x + 18 = h(3x + 9)
A. \(-2\)
B. \(-3\)
C. \(2\)
D. \(3\)
Secret Hack:
Infinite solutions means the sides are Twins!
Test Choice C:
Perfect Match!
Level Up Day 2 Worksheet Revised Corrected Level Up Review: Day 2
Transformations, Roots & Solutions
Name:
Date:
Skill 4: Transformations
4. Trapezoid RSTU and trapezoid NMLK are congruent.
Which sequence of transformations will map RSTU onto NMLK?
A. A reflection over the \(y\)-axis, then a translation 1 unit right.
B. A reflection over the \(x\)-axis, then a translation 1 unit left.
C. A reflection over the \(y\)-axis, then a translation 1 unit down.
D. A reflection over the \(x\)-axis, then a translation 1 unit up.
x
y
RSTU
NMLK
Count the grid squares carefully!
Skill 5: Estimating Roots
5. The value of \(\sqrt{30}\) is between which two whole numbers?
A. 1 and 3
B. 4 and 5
C. 5 and 6
D. 6 and 7
Model the Thinking:
25
\(5^2\)
<
30
\(\sqrt{?}\)
<
36
\(6^2\)
Skill 6: Infinite Solutions
6. What value for the constant, \(h\), will result in an infinite number of solutions?
6x + 18 = h(3x + 9)
A. \(-2\)
B. \(-3\)
C. \(2\)
D. \(3\)
Secret Hack:
Infinite solutions means the sides are Twins!
Test Choice C:
Perfect Match!
Level Up Day 2 Final Worksheet Level Up Review: Day 2
Transformations, Roots & Solutions
Name:
Date:
Skill 4: Transformations
4. Trapezoid RSTU and trapezoid NMLK are congruent.
Which sequence of transformations will map RSTU onto NMLK?
A. A reflection over the \(y\)-axis, then a translation 1 unit right.
B. A reflection over the \(x\)-axis, then a translation 1 unit left.
C. A reflection over the \(y\)-axis, then a translation 1 unit down.
D. A reflection over the \(x\)-axis, then a translation 1 unit up.
x
y
RSTU
NMLK
Reflect then Slide!
Skill 5: Estimating Roots
5. The value of \(\sqrt{30}\) is between which two whole numbers?
A. 1 and 3
B. 4 and 5
C. 5 and 6
D. 6 and 7
Model the Thinking:
25
\(5^2\)
<
30
\(\sqrt{?}\)
<
36
\(6^2\)
Skill 6: Infinite Solutions
6. What value for the constant, \(h\), will result in an infinite number of solutions?
6x + 18 = h(3x + 9)
A. \(-2\)
B. \(-3\)
C. \(2\)
D. \(3\)
Secret Hack:
Infinite solutions means the sides are Twins!
Test Choice C:
Perfect Match!
Level Up Day 2 Final Worksheet Corrected Level Up Review: Day 2
Transformations, Roots & Solutions
Name:
Date:
Skill 4: Transformations
4. Trapezoid RSTU and trapezoid NMLK are congruent.
Which sequence of transformations will map RSTU onto NMLK?
A. A reflection over the \(y\)-axis, then a translation 1 unit right.
B. A reflection over the \(x\)-axis, then a translation 1 unit left.
C. A reflection over the \(y\)-axis, then a translation 1 unit down.
D. A reflection over the \(x\)-axis, then a translation 1 unit up.
x
y
RSTU
NMLK
Reflect then Slide!
Skill 5: Estimating Roots
5. The value of \(\sqrt{30}\) is between which two whole numbers?
A. 1 and 3
B. 4 and 5
C. 5 and 6
D. 6 and 7
Model the Thinking:
25
\(5^2\)
<
30
\(\sqrt{?}\)
<
36
\(6^2\)
Skill 6: Infinite Solutions
6. What value for the constant, \(h\), will result in an infinite number of solutions?
6x + 18 = h(3x + 9)
A. \(-2\)
B. \(-3\)
C. \(2\)
D. \(3\)
Secret Hack:
Infinite solutions means the sides are Twins!
Test Choice C:
Perfect Match!
Level Up Day 2 Final Worksheet Revised Corrected Level Up Review: Day 2
Transformations, Roots & Solutions
Name:
Date:
Skill 4: Transformations
4. Trapezoid RSTU and trapezoid NMLK are congruent.
Which sequence of transformations will map RSTU onto NMLK?
A. A reflection over the \(y\)-axis, then a translation 1 unit right.
B. A reflection over the \(x\)-axis, then a translation 1 unit left.
C. A reflection over the \(y\)-axis, then a translation 1 unit down.
D. A reflection over the \(x\)-axis, then a translation 1 unit up.
x
y
RSTU
NMLK
Reflect then Slide!
Skill 5: Estimating Roots
5. The value of \(\sqrt{30}\) is between which two whole numbers?
A. 1 and 3
B. 4 and 5
C. 5 and 6
D. 6 and 7
Model the Thinking:
25
\(5^2\)
<
30
\(\sqrt{?}\)
<
36
\(6^2\)
Skill 6: Infinite Solutions
6. What value for the constant, \(h\), will result in an infinite number of solutions?
6x + 18 = h(3x + 9)
A. \(-2\)
B. \(-3\)
C. \(2\)
D. \(3\)
Secret Hack:
Infinite solutions means the sides are Twins!
Test Choice C:
Perfect Match!
