Fortress Intro Slides Fraction Fortress
Parts of a Whole
Architectural Phase 01
What is a Fraction?
The Concept
A fraction represents **part of a whole** unit or a part of a set.
In building, we use fractions to measure lengths that aren't exact whole inches or feet.
"Everything in our fortress must be measured precisely!"
1
The Blueprint
Numerator
Denominator
How many parts we have
(The colored parts)
Total number of parts
(The whole building blocks)
Equal Construction
Valid Fraction
The whole is divided into 4 **equal-sized** rooms.
Not a Fraction
The rooms are **different sizes**. This construction fails!
The Architect's Toolkit
\( \frac{1}{2} \)
One Half
\( \frac{1}{3} \)
One Third
\( \frac{1}{4} \)
One Fourth
Apprentice Foundation Worksheet Fortress Foundations: Blueprint Basics
Level 1: Apprentice
Name: _________________________________________________
Date: _________________
Architect's Note: Use your blueprint tools to identify the parts of each building block. Remember, all parts must be **equal**!
Part 1: The Building Labels
Label the parts of the fraction below using the words: Numerator and Denominator .
3
\( \longleftarrow \)
4
\( \longleftarrow \)
Part 2: Equal Room Check
Circle the building blocks that have equal parts . Cross out (X) the blocks that have unequal parts.
Part 3: Shade the Blueprint
Shade the part of each shape to show the fraction.
\( \frac{1}{2} \)
\( \frac{1}{3} \)
\( \frac{1}{4} \)
\( \frac{3}{4} \)
Fraction Fortress • Architectural Engineering Dept. • 2026
Builder Foundation Worksheet Fortress Foundations: Construction Phase
Level 2: Builder
Name: _________________________________________________
Date: _________________
Lead Builder's Task: You are responsible for documenting the progress of the fortress. Correctly identify and create the floor plans using fractions.
Part 1: Inspection Report
Write the fraction that represents the shaded part of each building block.
Part 2: Drafting New Wings
Divide the shapes into equal parts and shade them to show the fraction.
\( \frac{3}{8} \)
\( \frac{2}{3} \)
Part 3: Builder's Log
1. The fortress wall is made of 6 large stones. 2 of the stones are cracked. What fraction of the wall is cracked?
2. An architect draws a floor plan with 10 rooms. If 7 rooms are painted blue, what fraction of the rooms are NOT painted blue?
Fraction Fortress • Architectural Engineering Dept. • 2026
Master Foundation Worksheet Fortress Foundations: Structural Engineering
Level 3: Master Architect
Name: _________________________________________________
Date: _________________
Master Architect's Challenge: The King requires a complex fortress design. Solve these advanced structural problems using your knowledge of fractional parts.
Part 1: Material Inventory
Analyze the collection of building materials below. Answer the questions as fractions.
What fraction of the set are squares?
What fraction of the set are triangles?
What fraction are NOT circles?
Fraction of items that are NOT blue?
Part 2: Structure Breakdown
Write the unit fraction for each shape, then show how the whole fraction is built (sum of unit fractions).
Unit Fraction:
Decomposition (\( \frac{3}{5} = \)):
Unit Fraction:
Decomposition (\( \frac{4}{4} = \)):
Part 3: The King's Decree
"I want a castle with 12 towers. Half of the towers must be made of stone. Of the remaining towers, 4 must be made of wood, and the rest must be made of gold."
What fraction of the total towers are stone?
What fraction of the total towers are wood?
What fraction of the total towers are gold?
Draw the towers below to prove your work:
Fraction Fortress • Architectural Engineering Dept. • 2026
Fortress Foundation Teacher Guide Fortress Foundations
Teacher Facilitation Guide
Lesson 01 Unit: Fraction Fortress
Time
60-75 Mins
Focus
Concept & Vocab
Standard
3.NF.A.1
Grade
3rd - 4th
Learning Objectives
Define a fraction as part of a whole.
Identify and explain the roles of the numerator and denominator .
Distinguish between equal and unequal parts in a whole.
Represent fractions using area models (shading) and sets.
Instructional Sequence
01
The Hook: Building Commonalities (10 mins)
Begin with a "Think-Pair-Share." Ask: "If you were building a castle, why would it be important for every stone to be exactly the same size?" Connect their answers to the concept of **equal parts** in fractions.
02
Direct Instruction: Fortress Intro Slides (15 mins)
Use the Fortress Intro Slides to introduce vocabulary. Focus heavily on the denominator being the "Total Construction" and the numerator being the "Specific Section."
03
Guided Practice: Floor Plan Sketches (15 mins)
Draw various shapes on the board. Invite students to "architect" them into equal parts (halves, thirds, fourths, eighths). Purposely draw one with unequal parts to trigger a "Building Code Violation" discussion.
04
Tiered Independent Practice (25 mins)
Assign worksheets based on student readiness:
Apprentice (Level 1): For students needing heavy scaffolding, focusing on unit fractions and vocabulary recognition.
Builder (Level 2): For on-level students, identifying varied fractions and partitioning shapes.
Master Architect (Level 3): For advanced students, exploring fractions of sets and multi-step word problems.
Answer Keys
Level 1: Apprentice
Part 1: Top = Numerator, Bottom = DenominatorPart 2: Shape 1 (Circle), Shape 3 (Circle). Shape 2 (X).Part 3: Check for correct shading of 1/2, 1/3, 1/4, and 3/4.
Level 2: Builder
Part 1: 1) 3/4, 2) 1/4, 3) 2/6 (or 1/3), 4) 2/2 (or 1)Part 3: 1) 2/6 (or 1/3) cracked, 2) 3/10 NOT blue.
Level 3: Master Architect
