Foundry Slides Fraction Foundry
Equivalence Engineering Division
Shift Start: Now
Today's Blueprint
01
Size Check
Prove that two different fractions cover the same amount of space in 1 whole.
02
Generating Equivalent Fractions
Create new "parts" for our machines that are exactly the same size as the originals.
03
Whole Numbers
Understand how whole numbers (like 1, 2, or 3) look when they are in fraction form.
Wait! What is Equivalence?
\( \frac{1}{2} \)
=
\( \frac{2}{4} \)
Same Relative Size = Equivalent
The Rotation Stations
1. Blueprint Lab
Color and compare visual area models to prove equivalence.
2. Assembly Line
Use number lines to generate and explain your own equivalent fractions.
3. Whole Shipment
Sort cargo crates into "Whole Number" categories like 1, 2, and 3.
15 Minutes Per Station
Foundry Logbook Worksheet Engineer's Logbook
Fraction Foundry: Equivalence Division
Engineer:
Shift Date:
Center 01
Blueprint Lab: Visual Equivalence
Blueprint #1 \( \frac{1}{2} = \frac{\quad}{8} \)
Blueprint #2 \( \frac{2}{3} = \frac{\quad}{6} \)
Blueprint #3 \( \frac{3}{4} = \frac{\quad}{8} \)
Blueprint #4 \( 1 = \frac{\quad}{4} \)
Center 02
Assembly Line: Generating Parts
Select 4 task cards. Record the equivalent fraction and your engineering logic.
Work Order #1
\( \frac{\quad}{\quad} = \frac{\quad}{\quad} \)
Engineering Analysis:
Work Order #2
\( \frac{\quad}{\quad} = \frac{\quad}{\quad} \)
Engineering Analysis:
Work Order #3
\( \frac{\quad}{\quad} = \frac{\quad}{\quad} \)
Engineering Analysis:
Work Order #4
\( \frac{\quad}{\quad} = \frac{\quad}{\quad} \)
Engineering Analysis:
Center 03
Whole Shipment: Fraction Crates
Sort the "Crate" fractions by placing them under their matching whole number "Dock".
DOCK 1
1 Whole
DOCK 2
2 Wholes
DOCK 3
3 Wholes
Shift Summary: Field Notes
How do you know two fractions are equal? Explain the "secret" to equivalent fractions.
Industrial Equivalence Systems
Ref-3.NF.A.3-Log-Final
Foundry Logbook Worksheet Engineer's Logbook
Fraction Foundry Equivalence Division
Engineer:
Shift Date:
Center 01
Blueprint Lab: Visual Equivalence
Blueprint #1 \( \frac{1}{2} = \frac{\quad}{8} \)
Blueprint #2 \( \frac{2}{3} = \frac{\quad}{6} \)
Blueprint #3 \( \frac{3}{4} = \frac{\quad}{8} \)
Blueprint #4 \( 1 = \frac{\quad}{4} \)
Center 02
Assembly Line: Generating Parts
Select 4 task cards. Record the equivalent fraction and your engineering logic.
Work Order #1
\( \frac{\quad}{\quad} = \frac{\quad}{\quad} \)
Engineering Analysis:
Work Order #2
\( \frac{\quad}{\quad} = \frac{\quad}{\quad} \)
Engineering Analysis:
Work Order #3
\( \frac{\quad}{\quad} = \frac{\quad}{\quad} \)
Engineering Analysis:
Work Order #4
\( \frac{\quad}{\quad} = \frac{\quad}{\quad} \)
Engineering Analysis:
Center 03
Whole Shipment: Fraction Crates
Sort the "Crate" fractions by placing them under their matching whole number "Dock".
DOCK 1
1 Whole
DOCK 2
2 Wholes
DOCK 3
3 Wholes
Shift Summary: Field Notes
How do you know two fractions are equal? Explain the "secret" to equivalent fractions.
Industrial Equivalence Systems
Ref-3.NF.A.3-Log-Final
Foundry Task Cards Part Specification
#001
Standard Size
\( \frac{1}{2} \)
Requirement:
Create a fraction with a **denominator of 4** that is equivalent.
Part Specification
#002
Standard Size
\( \frac{2}{3} \)
Requirement:
Create a fraction with a **denominator of 6** that is equivalent.
Part Specification
#003
Standard Size
\( \frac{3}{4} \)
Requirement:
Create a fraction with a **denominator of 8** that is equivalent.
Part Specification
#004
Standard Size
\( \frac{4}{4} \)
Requirement:
Create a fraction with a **denominator of 1** that is equivalent.
Part Specification
#005
Standard Size
\( \frac{1}{3} \)
Requirement:
Create a fraction with a **denominator of 6** that is equivalent.
Part Specification
#006
Standard Size
\( \frac{2}{4} \)
Requirement:
Create a fraction with a **denominator of 2** that is equivalent.
Part Specification
#007
Standard Size
\( \frac{6}{8} \)
Requirement:
Create a fraction with a **denominator of 4** that is equivalent.
Part Specification
#008
Standard Size
\( \frac{2}{1} \)
Requirement:
Create a fraction with a **denominator of 2** that is equivalent.
Assembly Line Task Cards - Center 2 Component
Shipment Sorting Activity Shipping Dock Sorting Mat
Dock 1
1
Dock 2
2
Dock 3
3
Cargo Crates (Cut these out)
\( \frac{1}{1} \)
\( \frac{4}{4} \)
\( \frac{8}{8} \)
\( \frac{2}{1} \)
\( \frac{4}{2} \)
\( \frac{6}{3} \)
\( \frac{3}{1} \)
\( \frac{6}{2} \)
\( \frac{9}{3} \)
\( \frac{12}{4} \)
\( \frac{2}{2} \)
\( \frac{8}{4} \)
Foundry Shipping Division - Center 3 Sorting Component
Foundry Teacher Guide Engineer Dispatch
Teacher Facilitation Guide
Shift Length
45 MIN
Lesson Overview
This lesson uses an industrial "Fraction Foundry" theme to help 3rd-grade students master fraction equivalence (Arizona Standard 3.NF.A.3). Students rotate through three 15-minute centers, acting as engineers to identify, generate, and categorize fractions.
Center 1
Blueprint Lab: Visual area models and relative size.
Center 2
Assembly Line: Generating fractions and verbal logic.
Center 3
Shipment Dock: Fractions as whole numbers.
Setup & Materials
Logbooks: Print one per student (2-page document).Blueprint Lab (C1): Students need colored pencils to shade the area models in their logbooks.Assembly Line (C2): Cut out the 8 "Part Specification" cards. Students choose any 4.Shipping Dock (C3): Provide "Cargo Crate" cutouts and the "Dock Mat" for sorting.Exit Ticket: Provide "End of Shift Report" at the final 5-10 minutes.
Logbook Answer Key
Center 1: Blueprint Lab
1. \( \frac{1}{2} = \frac{4}{8} \)
2. \( \frac{2}{3} = \frac{4}{6} \)
3. \( \frac{3}{4} = \frac{6}{8} \)
4. \( 1 = \frac{4}{4} \)
Center 2: Assembly Line Task Cards
#001: \( \frac{1}{2} = \frac{2}{4} \)
#002: \( \frac{2}{3} = \frac{4}{6} \)
#003: \( \frac{3}{4} = \frac{6}{8} \)
#004: \( \frac{4}{4} = \frac{1}{1} \)
#005: \( \frac{1}{3} = \frac{2}{6} \)
#006: \( \frac{2}{4} = \frac{1}{2} \)
#007: \( \frac{6}{8} = \frac{3}{4} \)
#008: \( \frac{2}{1} = \frac{4}{2} \)
Center 3: Whole Shipment
Dock 1: \( \frac{1}{1}, \frac{4}{4}, \frac{8}{8}, \frac{2}{2} \) | Dock 2: \( \frac{2}{1}, \frac{4}{2}, \frac{6}{3}, \frac{8}{4} \) | Dock 3: \( \frac{3}{1}, \frac{6}{2}, \frac{9}{3}, \frac{12}{4} \)
Exit Ticket Key (End of Shift)
Question 1: True. \( \frac{1}{3} = \frac{2}{6} \). Shading should cover the same relative area. Logic: Dividing each third into two parts creates sixths, so 2 sixths equal 1 third.
Question 2: Correct crates are \( \frac{3}{1} \) and \( \frac{6}{2} \). (Note: \( \frac{3}{3} \) is 1; \( \frac{1}{3} \) is less than 1).
Foundry Slides updated Fraction Foundry
Equivalence Engineering Division
Shift Start: Now
Today's Blueprint
01
Size Check
Prove that two different fractions cover the same amount of space in 1 whole.
02
Generating Equivalent Fractions
Create new "parts" for our machines that are exactly the same size as the originals.
03
Whole Numbers
Understand how whole numbers look when they are in fraction form.
Center 1: Blueprint Lab Sample
Shade \( \frac{1}{2} \) of the blueprint.
Find an equivalent in 4ths.
Result: \( \frac{1}{2} = \frac{2}{4} \)
Center 2: Assembly Line Sample
PART #001
Standard: \( \frac{1}{2} \)
Create a fraction with a **denominator of 4** that is equivalent.
Result: \( \frac{2}{4} \)
Engineering Logic:
"I split the two halves into four equal parts. Since each half became two parts, I need 2 out of the 4 pieces to keep the same size."
Center 3: Whole Shipment Sample
\( \frac{4}{4} \)
Cargo Crate
Dock 1
1
\( \frac{4}{4} \)
If numerator = denominator, it's 1 whole!
Foundry Exit Ticket End of Shift Report
Foundry Quality Control Check
Engineer ID:
01
Part Comparison
An engineer says that \( \frac{1}{3} \) of a machine part is the same size as \( \frac{2}{6} \). Explain or show why this is true or false using the blueprint boxes below.
\( \frac{1}{3} \)
\( \frac{2}{6} \)
Engineering Justification:
02
Shipping Logistics
The Foundry needs to ship exactly **3 whole machines**. Circle all the fraction crates that represent the number 3.
\( \frac{3}{1} \)
\( \frac{3}{3} \)
\( \frac{6}{2} \)
\( \frac{1}{3} \)
Quality Assurance Verified
