Mastery Mission Packet Student Document MATH MASTERY MISSION
8th Grade TEKS Comprehensive Review
Student Name
Date
Module 1
The Real Number System
Classification Challenge (8.1.2A)
Place each number in the Venn diagram below: -8, 0, \(\sqrt{15}\), \(\frac{2}{3}\), 4.5, \(\pi\), -1.25, 12
Real Numbers
Rational Numbers
Integers
Whole
Irrational
Ordering Mission (8.1.2D)
Arrange the following sets of numbers in the specified order. Show your decimal approximations for each.
1. Ascending Order (Least to Greatest):
\(\sqrt{38}\) 6.15 \(2\pi\) \(\frac{19}{3}\)
MATH MASTERY MISSION
Page 2: Notation & Proportionality
Module 2
Scientific Notation (8.1.2C)
Convert to Scientific Notation
0.000045 =
32,900,000 =
Convert to Standard Notation
\(7.2 \times 10^{-4} =\)
\(1.05 \times 10^{6} =\)
Module 3
Proportionality Detectives
Identifying Relationships (8.3.7D)
Determine if each relationship is Proportional (P) or Non-Proportional (NP) . Justify your answer.
Circle: P NP
y = 3x + 1
Circle: P NP
Graphing & Unit Rate (8.2.4B)
A plant grows 3 inches every 2 weeks. Graph this relationship and find the unit rate (slope).
Weeks (x) Inches (y)
Unit Rate Calculation
Unit Rate = in/wk
Explain what the slope represents in the context of this problem:
MATH MASTERY MISSION
Page 3: Linear Logic
Module 4
Rate of Change (Slope)
From a Table (8.2.4A)
<table class="w-full text-sm border-collapse mb-4"><tbody><tr class="bg-slate-50"><th class="border p-2">Time (h)</th><td class="border p-2 text-center">2</td><td class="border p-2 text-center">5</td><td class="border p-2 text-center">8</td></tr><tr><th class="border p-2">Miles (mi)</th><td class="border p-2 text-center">110</td><td class="border p-2 text-center">275</td><td class="border p-2 text-center">440</td></tr></tbody></table>
Show work for \(m = \frac{y_2 - y_1}{x_2 - x_1}\):
Slope (m) =
From a Graph (8.2.4C)
0 2 4 20 40
Slope (m) =
y-intercept (b) =
Module 5
Multi-Representational Mastery (8.3.7A)
Verbal Description:
"A plumber charges a flat fee of $50 for a service call plus $45 per hour of labor."
Create a Table:
Hours (x) Total Cost (y) 0 1 2 3
Write the Equation:
\(y = mx + b\)
y =
MATH MASTERY MISSION
Page 4: Function Focus
Module 6
Is it a Function? (8.2.5G)
Determine which representations define y as a function of x. Circle "Yes" or "No" and provide your reasoning.
2 4 6
Input
10 20
Output
Arrows: 2→10, 4→20, 6→20
YES NO
{(1, 2), (2, 5), (3, 8), (1, 9)}
YES NO
YES NO
<table class="w-full text-xs border-collapse mb-4"><tbody><tr class="bg-slate-50"><th class="border p-1">X</th><td class="border p-1">5</td><td class="border p-1">6</td><td class="border p-1">7</td><td class="border p-1">8</td></tr><tr><th class="border p-1">Y</th><td class="border p-1">0</td><td class="border p-1">0</td><td class="border p-1">0</td><td class="border p-1">0</td></tr></tbody></table>
YES NO
Mission Completion Debrief
Select one TEK from this packet that you found most challenging. Explain one strategy you will use to master it for the upcoming test.
Math Mastery Mission Slides Target: 8th Grade Math Success
MATH MASTERY MISSION
A Comprehensive Tactical Review of Real Numbers, Functions, and Proportionality
Numbers
Functions
Logic
Mission Intel: Our Objectives
1
Number Power
Classify, order, and convert real numbers with precision.
2
Linear Logic
Master slope and y-intercept across all representations.
3
Function Focus
Determine functional relationships in graphs, tables, and mappings.
4
Proportionality
Distinguish between proportional and non-proportional growth.
Module 1
The Real Number System
Critical Question
How can we tell the difference between a Rational and Irrational number instantly?
Repeating or Terminating Decimals?
Can it be written as a fraction?
Pro Tip: \(\pi\) and Non-Perfect Squares
If the square root isn't a whole number, it's Irrational!
Ordering Tip
Convert EVERYTHING to decimals before comparing. Always line up the decimal points!
Scaling the Universe
Scientific Notation allows us to write massive and microscopic numbers with ease.
Positive Powers
Numbers > 1
10+
Move the decimal to the RIGHT
Negative Powers
Numbers < 1
10-
Move the decimal to the LEFT
Module 3
Proportionality Detectives
The "Origin" Check
A proportional relationship MUST pass through the origin (0, 0).
Equation Check
y = kx
No plus or minus anything else!
Unit Rate = Slope
In a proportional relationship, the constant of proportionality (k) is the same as the slope (m).
k = m = \(\frac{y}{x}\)
Module 4
Calculating Rate of Change
The Formula
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Rise Over Run
From a Table
Pick any two points and plug them into the formula.
From a Graph
Find "perfect points" where the line crosses the grid corners.
Module 6
The Function Filter
Mastery Mission Answer Key TEACHER GUIDE & KEY
Math Mastery Mission: 8th Grade Review
ANSWER KEY
Module 1: The Real Number System (8.1.2A, 8.1.2D)
Classification Key (8.1.2A)
Whole: 0, 12
Integers: -8, 0, 12
Rational: \(\frac{2}{3}\), 4.5, -1.25, -8, 0, 12
Irrational: \(\sqrt{15}\) (approx 3.87), \(\pi\) (approx 3.14)
Common Error: Students often misclassify \(\sqrt{15}\) as rational because they don't recognize it as a non-perfect square.
Ordering Mission (8.1.2D)
Decimal Approximations:
\(\sqrt{38} \approx 6.16\)
6.15 (Already decimal)
\(2\pi \approx 6.28\)
\(\frac{19}{3} \approx 6.33\)
Ascending Order:
6.15 < \(\sqrt{38}\) < \(2\pi\) < \(\frac{19}{3}\)
Module 2: Scientific Notation (8.1.2C)
SCIENTIFIC CONVERSION
0.000045: \(4.5 \times 10^{-5}\)
32,900,000: \(3.29 \times 10^{7}\)
STANDARD CONVERSION
\(7.2 \times 10^{-4}\): 0.00072
\(1.05 \times 10^{6}\): 1,050,000
Module 3: Proportionality (8.3.7D, 8.2.4B)
Identifying Relationships (8.3.7D)
Table:
Proportional (P). Reason: Ratio y/x is constant (5/2 = 2.5) and passes through (0,0).
Equation y = 3x + 1:
Non-Proportional (NP). Reason: y-intercept is 1, not 0. Does not pass through origin.
Graphing & Unit Rate (8.2.4B)
Unit Rate Calculation: \(\frac{3 \text{ inches}}{2 \text{ weeks}} = 1.5\) inches per week.
Slope meaning: For every 1 week that passes, the plant grows exactly 1.5 inches. This is the constant rate of growth.
TEACHER GUIDE & KEY
Math Mastery Mission: 8th Grade Review
ANSWER KEY
Module 4: Rate of Change (8.2.4A, 8.2.4C)
FROM A TABLE (8.2.4A)
Using (2, 110) and (5, 275):
m = (275 - 110) / (5 - 2) = 165 / 3 = 55 mph
FROM A GRAPH (8.2.4C)
Slope (m): \(\frac{60 - 40}{4 - 2} = \frac{20}{2} = 10\)
y-intercept (b): 20 (observed where x=0 on line)
Note: The line passes through (0,20), (2,40), and (4,60).
Module 5: Multi-Representational (8.3.7A)
Plumber Scenario Answers:
