Grid Grit Slides
DIAGNOSTIC QUEST: START 5TH GRADE MATH
Ready Player One
GRID GRIT
Settle in for an 8-round mathematical stamina challenge. Show your strategies and unlock your true power!
SYSTEMS ACTIVE
GET RECORDING SHEET READY
STAGE 1: OPERATIONS ROUND 1 OF 8
Bracket Power
Order of operations acts like a map. If you take steps out of order, you'll end up at the wrong castle!
MISSION OBJECTIVE
Write down the expression on your sheet. Circle the very first operation you must complete, then calculate the final value.
EVALUATE THE EXPRESSION
\[ 8 \times (12 - 4) \div 2 \]
(P)arentheses > (E)xponents > (M/D) > (A/S)
GRID GRIT DIAGNOSTIC RECORD ON YOUR SHEET
STAGE 1: OPERATIONS ROUND 2 OF 8
Area Model Mastery
Breaking larger numbers into smaller, manageable chunks helps us visualize the true scale of multiplication.
MISSION OBJECTIVE
Fill in the missing partial products in the grid on your sheet, then find the final product of \[ 34 \times 27 \].
SOLVE: \( 34 \times 27 \)
30
4
20
600
80
7
A = ?
28
GRID GRIT DIAGNOSTIC RECORD ON YOUR SHEET
STAGE 2: DECIMALS ROUND 3 OF 8
Decimal Duel
Don't let the number of digits fool you! Place value dictates the weight of every single digit.
MISSION OBJECTIVE
Write down the comparison using \( < \), \( > \), or \( = \). Sketch or explain your reasoning.
WHICH HAS GREATER VALUE?
VALUE A 0.45
?
VALUE B 0.405
Compare Tenths, Hundredths, and Thousandths!
GRID GRIT DIAGNOSTIC RECORD ON YOUR SHEET
STAGE 2: DECIMALS ROUND 4 OF 8
Race Time
When adding or subtracting, aligning the decimal point keeps Tenths with Tenths, and Ones with Ones.
MISSION OBJECTIVE
Find the combined race time of the two racers. Line up your decimal points before calculating!
RACER DATA
Alpha Racer 12.35 s
Beta Racer 8.7 s
⚠️ HINT: Look out for different decimal lengths!
GRID GRIT DIAGNOSTIC RECORD ON YOUR SHEET
STAGE 3: FRACTIONS ROUND 5 OF 8
Visual Sums
Adding slices of different sizes is like adding apples and oranges. We must find a common slice size!
MISSION OBJECTIVE
Convert both fractions so they have matching denominators, then compute their sum.
SOLVE THE SUM
\[ \frac{1}{2} + \frac{1}{3} \]
\(\frac{1}{2}\)
\(\frac{1}{3}\)
GRID GRIT DIAGNOSTIC RECORD ON YOUR SHEET
STAGE 3: FRACTIONS ROUND 6 OF 8
Pizza Share
Dividing a whole number by a fraction is like cutting wholes into smaller slices. The total number of pieces actually goes up!
MISSION OBJECTIVE
Write down the equation, draw a diagram to show your reasoning, and state your final answer.
SCENARIO
"There are 3 whole pizzas.
Each player receives a slice that is exactly \(\frac{1}{4}\) of a pizza."
\[ 3 \div \frac{1}{4} = ? \]
How many players can get a slice?
GRID GRIT DIAGNOSTIC RECORD ON YOUR SHEET
STAGE 4: VOLUME ROUND 7 OF 8
Block Builder
Volume measures the three-dimensional space inside a solid. We can find this by packing a space full of equal cubes!
MISSION OBJECTIVE
Look at the packed box below. Find the length, width, and height by counting unit blocks, then write the total volume.
3D PACKED PRISM
cube
cube
cube
cube
cube
cube
cube
cube
Front: 4 Units Wide
Side: 3 Deep
Height: 2 High
Total Volume = ___ Unit Cubes
GRID GRIT DIAGNOSTIC RECORD ON YOUR SHEET
STAGE 4: VOLUME ROUND 8 OF 8
Space Saver
Instead of filling spaces with cubes, we can multiply length, width, and height to instantly calculate volume!
MISSION OBJECTIVE
Apply the volume formula and compute the storage space of the block below. Don't forget your cubic units!
VOLUME FORMULA APPLIED
\[ \text{Volume} = l \times w \times h \]
Length = 8 cm
Width = 5 cm
Height = 10 cm
Show each multiplication step on your sheet.
GRID GRIT DIAGNOSTIC RECORD ON YOUR SHEET
DIAGNOSTIC QUEST: COMPLETE HIGH SCORES
Quest Complete!
You finished all 8 rounds! That takes math stamina, critical thinking, and determination.
Turn in your completed Recording Sheet. Your teacher will analyze your map to help you plan your next big 5th-grade math adventure!
PLAYER REFLECTION
- Which stage did you feel most confident about?
- Where did you show the most "grit" or determination?
- What's one math goal you have for this year?
GRID GRIT DIAGNOSTIC WELL PLAYED! 🎮
Grid Grit Recording Sheet
MATH QUEST 01
GRID GRIT RECORDING
STAGE: DIAGNOSTIC
SCORE: _____ / 8
PLAYER: _____________________
DATE: ___________
CLASS: ___________
STAGE 1: OPERATIONS ROUND 1
Bracket Power: Evaluate \( 8 \times (12 - 4) \div 2 \)
Step 1: Circle the FIRST operation to do. Step 2: Show steps.
Show steps here...
ANSWER:
STAGE 1: OPERATIONS ROUND 2
Area Model Mastery: Complete \( 34 \times 27 \)
30
4
20
600
80
7
Box A=___
28
Add partial products...
TOTAL:
STAGE 2: DECIMALS ROUND 3
Decimal Duel: Compare \( 0.45 \) and \( 0.405 \)
0.45
?
0.405
Justify using place value...
STAGE 2: DECIMALS ROUND 4
Race Time: Combined time of Alpha (12.35s) and Beta (8.7s)
RESULT:
GRID GRIT MATH QUEST PAGE 1 OF 2
MATH QUEST 01
GRID GRIT RECORDING
STAGE: DIAGNOSTIC
SCORE: _____ / 8
STAGE 3: FRACTIONS ROUND 5
Visual Sums: Calculate \( \frac{1}{2} + \frac{1}{3} \)
\( \frac{1}{2} = \text{______ / ______} \)
\( \frac{1}{3} = \text{______ / ______} \)
Compute sum...
SUM:
STAGE 3: FRACTIONS ROUND 6
Pizza Share: Solve \( 3 \div \frac{1}{4} \)
Sketch pizzas representation...
ANSWER:
STAGE 4: VOLUME ROUND 7
Block Builder: Count Dimensions & Volume
Length (l) = _______ units
Width (w) = _______ units
Height (h) = _______ units
Calculate...
VOLUME:
STAGE 4: VOLUME ROUND 8
Space Saver: Solve volume for \( 8\text{ cm} \times 5\text{ cm} \times 10\text{ cm} \)
Show steps here...
ANSWER:
QUEST COMPLETED: PLAYER REFLECTION
Which stage was your favorite or felt easiest?
Which round did your brain show the most grit?
GRID GRIT MATH QUEST PAGE 2 OF 2
Grid Grit Teacher Key
TEACHER RESOURCE
GRID GRIT DIAGNOSTIC KEY
MATH DIAGNOSTIC 5TH GRADE
Rounds 1 - 4 Overview
ROUND 1: BRACKET POWER (Operations) CORRECT ANSWER: 32
Step-by-Step Solution:
1. Evaluate parentheses first:
\( 12 - 4 = 8 \)
2. Left-to-right multiplication/division:
\( 8 \times 8 \div 2 = 64 \div 2 = 32 \)
Misconceptions / Action Steps:
• No-parentheses error (92): Multiplied first \( 8 \times 12 = 96 \), then \( 96 - 4 \div 2 = 94 \) or similar.
• Action: Reteach grouping symbols priority.
ROUND 2: AREA MODEL MASTERY (Operations) CORRECT: Box A = 210 | Total = 918
Step-by-Step Solution:
1. Solve Box A (row 7, column 30):
\( 30 \times 7 = 210 \)
2. Add all partial products:
\( 600 + 80 + 210 + 28 = 918 \)
Misconceptions / Action Steps:
• Box A Addition error (37): Added \( 30 + 7 \) instead of multiplying.
• Addition slip (e.g., 908): Misalignment during summation of the four products.
ROUND 3: DECIMAL DUEL (Decimals) CORRECT ANSWER: 0.45 > 0.405
Step-by-Step Solution:
Compare place value columns left-to-right:
• Tenths: Both have 4 (\( 0.4 = 0.4 \))
• Hundredths: \( 0.45 \) has 5, \( 0.405 \) has 0.
• Since \( 5 > 0 \), then \( 0.45 > 0.405 \).
Misconceptions / Action Steps:
• "Longer is Larger" (0.45 < 0.405): Student assumes because "405" has three digits, it is larger.
• Action: Write both with placeholders: \( 0.450 \) vs \( 0.405 \).
ROUND 4: RACE TIME (Decimals) CORRECT ANSWER: 21.05 seconds
Step-by-Step Solution:
1. Align decimal points vertically:
12.35
+ 8.70 (append zero to assist)
======
21.05 s
Misconceptions / Action Steps:
• Misaligned columns (13.22 or 21.35): Added 7 to the hundredths place, solving as \( 12.35 + 0.87 \) or similar.
• Action: Reteach column addition with graph grids.
GRID GRIT TEACHER RESOURCE PAGE 1 OF 2
TEACHER RESOURCE
GRID GRIT DIAGNOSTIC KEY
MATH DIAGNOSTIC 5TH GRADE
Rounds 5 - 8 & Roadmap
STAGE 3: FRACTIONS (Rounds 5 & 6) COMMON DENOMINATOR & FRACTION DIVISION
R5: Visual Sums (\( \frac{1}{2} + \frac{1}{3} \))
• Correct: \( \frac{5}{6} \) (equivalents: \( \frac{3}{6} + \frac{2}{6} \))
• Adding straight across (\( \frac{2}{5} \)) indicates standard denominator conceptual gap.
