From Arithmetic to Algebra: Variables, Word Problems, Fractions and the Rules

CONTENTS OF CURRICULUM UNIT 17.05.04

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Background
  4. Content and Objectives
  5. Teaching Strategies
  6. Classroom Activities
  7. Example Problems
  8. Resources
  9. Appendix – State Standards
  10. Biography for Teachers
  11. Endnotes

Math World Problems and the Diné Hooghan

Jolene Rose Smith

Published September 2017

Tools for this Unit:

Classroom Activities

I will begin with the hooghan because it has multiple connections with math concepts and skills. The explanation of the construction, including its historical and cultural context, will provide our students with a solid background understanding of the hooghan. Number and operation of fractions, measurement and data of geometry, classifying two-dimensional figures into categories based on their properties using ratios, meaning things like isosceles and equilateral triangles, and squares versus rectangles and exchange of money will be integrated into the discussion of the male and female hooghans.

Towards the end of my unit, students will construct a miniature model of a hooghan nimaz, female hooghan. They will scale down a model to of an actual octagon hooghan. For example, if a side of an octagon is 5 feet and if the scale factor for the drawing is 1/16, then the sides of the drawing of the octagon will be 8 feet scaled down to 6 inches. The measurements in the corners (5 feet) are the dimensions of the square that has the slanting sides of the octagon as a diagonal. The actual hooghan radius from the center to the angle of each corner is 10 feet. Then the small scale of the hooghan on a 1 to 16 scale it would be 7 ½ in inches.

This activity is a good home-school connection activity for students and parents. Students will keep a daily math journal while constructing their hooghan at home and at school.

During the course of teaching, my unit includes examples of addition and subtraction problems of one-step and two steps; I will teach math word problems, some are for whole class discussion, team-task discussion, and independent problem solving. These problems fit the “I Do, We Do, You Do,” strategy. Some examples from my collection of word problems are included below. In addition to these problems, added hooghan math word problems which are not in this unit will be taught.

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