Scale Up SlidesScale Up The Similar Triangles Project The Concept Visual Definition Similar figures have the same shape but different sizes. Like a perfectly scaled photo zoom. Math Definition Corresponding angles are congruent (≅) Corresponding sides are proportional Criterion 1: AA Similarity If two angles are congruent (≅), the triangles are similar. Angles define shape. If the angles match, they are similar! 40° 60° Triangle X 40° 60° Triangle Y Criterion 2: SSS Similarity If all corresponding sides are proportional, the triangles are similar. \( \frac{9}{3} = \frac{12}{4} = \frac{15}{5} = 3 \) Scale Factor k = 3 12 9 15 Triangle A 4 3 5 Triangle B Criterion 3: SAS Similarity Two proportional sides with a congruent angle (≅) "sandwiched" between them. "The Proportion-Angle-Proportion Sandwich" 40° 8 6 40° 4 3 Shadow Reckoning At any given time, Sun's rays hit Earth at the same angle, creating similar right triangles. Measure the inaccessible by using simple proportionality! \( \frac{\text{Height}}{\text{Shadow}} = \frac{\text{Ref. Height}}{\text{Ref. Shadow}} \) Scale Factor k = Height ÷ Shadow Your Mission Scale Up Infographic Design The Basics Explain AA, SSS, and SAS definitions. The Real World Shadow or mirror height calculation. Visual Design Clean sections and graphic layout.
Poster Blueprint GuideScale Up Project Architectural Infographic Design NAME: DATE: Project Mission You are a Junior Design Architect commissioned to create an educational infographic for city planners. You must demonstrate how triangle similarity geometry measures city structures without physically reaching them. Vocabulary Deck Similarity (~) Scale Factor (k) Criteria: AA | SSS | SAS Proportions Design Specifications 1 Geometric Criteria Define and illustrate each similarity theorem (AA, SSS, SAS). Every diagram must include appropriate congruency markings or side length labels. 2 Proportionality Proof Model two similar triangles. Show the calculation for the Scale Factor (k) and write out the proportion that proves they are similar. 3 The Height Solution Solve a real-world problem using Shadows or Mirrors. Include a "blueprint" style diagram with all variables clearly labeled. 4 Information Design Structure your poster with clear headers, graphic icons, and a cohesive color palette. Presentation should be professional and easy to navigate. Due Date Friday, May 8th Assessment Weight 100 Project Points
Math Mockup WorksheetMath Mockup Student Name: __________________________ Draft Date: __________________________ Draft the mathematical components for your infographic below. Accuracy here is required before final design. 1 The Proportionality Proof Invent two similar triangles. Label side lengths that have a clear scale factor (k). Triangle A Diagram Triangle B Diagram Scale Factor Calculation Proportion Check 2 Real-World Scenario Draft Method Selection Shadow Reckoning Mirror Reflection Blueprint Sketch Obj / Shadow / Ref / Vars Calculation Steps 1. The Equation 2. Algebraic Work 3. Solution Poster Layout Plan Thumbnail Zones Plan your primary sections: Intro, 3 Criteria, Math Proof, Real-World Solution. Zone A Zone B Zone C Zone D
Grading Grid Teacher GuideGrading Grid TOTAL SCORE / 100 CriterionExceeds (25)Meets (20)Dev (15-0)Similarity CriteriaAA, SSS, SASPrecise definitions. Visuals show congruency markings and proportional labels perfectly.All three criteria present. Labels are mostly accurate. Definitions are clear.One or more criteria missing. Diagrams are poorly labeled or incorrect.Math PrecisionScale Factor/ProportionsFlawless calculations. Proportion setup is sophisticated and clearly visible.Minor calculation errors only. Proportion logic is correct and visible.Major errors in math. Variable (k) is misunderstood or missing.Real-World ApplicationShadows/MirrorsUnique, creative scenario. Professional blueprint diagram. Clear step-by-step math.Standard scenario (flagpole, etc). Diagram and math are present and correct.Scenario is missing or irrelevant. Diagram is messy or unlabeled.Infographic DesignVisual & OrganizationStrong visual hierarchy. Professional icons/colors. Highly organized layout.Clear sections. Legible text. Good balance between images and math.Cluttered layout. Hard to follow. Lacks graphic design elements. Strengths Opportunities Final Evaluation Summary
Math Mockup WorksheetMath Mockup Student Name: __________________________ Draft Date: __________________________ Draft the mathematical components for your infographic below. Accuracy here is required before final design. 1 The Proportionality Proof Invent two similar triangles. Label side lengths that have a clear scale factor (k). Triangle A Diagram Triangle B Diagram Scale Factor Calculation Proportion Check 2 Real-World Scenario Draft Method Selection Shadow Reckoning Mirror Reflection Blueprint Sketch Requirement: Object, Shadow, Reference, Variables Calculation Steps 1. The Equation 2. Algebraic Work 3. Solution Poster Layout Plan Thumbnail Zones Intro / AA / SSS / SAS / Proof / Real-World Solution ZONE 1 ZONE 2 ZONE 3 ZONE 4
