Worksheets — Set 17
Geometry · Geometric modeling
Print and write your answers. Use diagrams to show thinking.
Warm-up
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: ___
_See printable PDF for diagram._
Written practice
1. Design problem: ladder 27 ft against wall. Height if base 23 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 30 ft against wall. Height if base 26 ft from wall? 8. Design problem: ladder 33 ft against wall. Height if base 29 ft from wall?
___________________________ ___________________________ ___________________________ ___________________________
More written practice
1. Design problem: ladder 36 ft against wall. Height if base 32 ft from wall? 2. Design problem: ladder 39 ft against wall. Height if base 35 ft from wall? 3. 4 + 7 = ___ 4. 5 + 4 = ___ 5. 6 + 5 = ___ 6. 2 + 6 = ___
___________________________ ___________________________ ___________________________ ___________________________ ___________________________
Patterns and rules
1. Design problem: ladder 44 ft against wall. Height if base 40 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 52 ft against wall. Height if base 48 ft from wall? 2. Sketch a model and label known lengths.
___________________________ ___________________________ ___________________________ ___________________________
Parent tip: Sketch a diagram with labels