Worksheets — Set 18
Geometry · Geometric modeling
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. Design problem: ladder 29 ft against wall. Height if base 25 ft from wall? 2. Sketch a model and label known lengths. 3. Choose a theorem or formula: ___
_See printable PDF for diagram._
Written practice
1. Design problem: ladder 28 ft against wall. Height if base 24 ft from wall? 2. Sketch a model and label known lengths. 3. Choose a theorem or formula: ___ 4. Answer with units and reasonableness check. ___ 5. What assumption did you make? 6. Create a similar modeling question. 7. Design problem: ladder 31 ft against wall. Height if base 27 ft from wall? 8. Design problem: ladder 34 ft against wall. Height if base 30 ft from wall?
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More written practice
1. Design problem: ladder 37 ft against wall. Height if base 33 ft from wall? 2. Design problem: ladder 40 ft against wall. Height if base 36 ft from wall? 3. 5 + 4 = ___ 4. 6 + 5 = ___ 5. 2 + 6 = ___ 6. 3 + 7 = ___
___________________________ ___________________________ ___________________________ ___________________________ ___________________________
Patterns and rules
1. Design problem: ladder 45 ft against wall. Height if base 41 ft from wall? 2. Sketch a model and label known lengths. 3. Choose a theorem or formula: ___
_See printable PDF for diagram._
___________________________ ___________________________ ___________________________ ___________________________
Stretch
1. Design problem: ladder 53 ft against wall. Height if base 49 ft from wall? 2. Sketch a model and label known lengths.
___________________________ ___________________________ ___________________________ ___________________________
Parent tip: Sketch a diagram with labels