Ohio Resource Center

# Ohio's Academic Content Standards in Mathematics

 Results 1 - 8 of 8: Return to Grade 9 Indicators Ohio Standard: Patterns, Functions and Algebra StandardGrade Level Indicator: (Grade: 9) 13. Model and solve problems involving direct and inverse variation using proportional reasoning.
1
The Cylinder Problem
ORC# 8421
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: Students build a family of cylinders, all from the same-sized paper,?and discover the relationship between the dimensions of the?paper and the resulting cylinders. They order the cylinders by their volumes and draw a conclusion about the relationship between a cylinder's dimensions and its volume....
2
Shedding Light on the Subject
ORC# 400
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: In this 4-lesson unit students develop and analyze exponential models for the behavior of light passing through water. Students begin by considering how light intensity changes from near the surface to the bottom of the ocean....
3
A Distant View: Exploring the Principles of Telescope Optics
ORC# 1504
Resource Information
Resource Type: Lessons
Professional Commentary: Students see real-life applications of rational functions and the Pythagorean Theorem, as they investigate the essential concepts of how lenses work to magnify vision, and then build simple telescopes to demonstrate their understanding. Discussion questions, suggestions for assessment, additional activities, interdisciplinary connections, and Internet extensions are included in the lesson plan....
4
Stressed to the Breaking Point: Multiple-Variable Functions
ORC# 125
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: How does the amount of weight that can be supported by a spaghetti bridge relate to the width (number of spaghetti strands) and the length of a bridge? Students gather data comparing the amount of weight that can be supported, the number of strands of spaghetti used, and the length of the bridge....
5
Do I Have to Mow the Whole Thing?
ORC# 11451
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: This lesson offers several practical examples of inverse variation. Students collect data and generate graphs before finding specific equations for inverse variation relationships....
6
Very Varied - Inverse Variation
ORC# 10605
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: Students learn about inverse variation by exploring the relationship between the heights of a fixed amount of water poured into cylindrical containers with different bases. The lesson begins with a review of direct variation and contrasts the properties of direct variation with those of inverse variation....
7
Be Direct - Oil Spills on Land
ORC# 10604
Resource Information
Resource Type: Lessons
Discipline: Mathematics