What are algebraic expressions? How are they structured, and how can they be combined to create equations and inequalities? How do you know that the solutions you find are correct? In Algebra 1, students create expressions from verbal descriptions, manipulate and transform them, and create visual models. Requiring students to explain each step helps them understand mathematical processes. Exploring functions, sequences, and their corresponding graphs helps students determine the best ways to represent each. Students examine functions graphically, numerically, symbolically, and verbally, and learn how to translate between these different forms. Students’ depth of understanding increases as they complete proofs and describe data, fitting functions to their data. Students then extend their knowledge of linear and exponential relationships and apply their new understanding to create quadratic and exponential expressions as models of real-life phenomena.
Water Awareness [Mastery Project]
WHAT IF YOU TURNED ON YOUR TAP AND NOTHING CAME OUT?
The global environmental organization GreenPeas is planning an awareness campaign about water usage. Before they launch their campaign, GreenPeas is organizing a poster design contest to generate designs that effectively raise awareness about the amount of water used in homes each day and how this compares to global water usage. The winning poster will be reproduced on a large scale and hung in public places such as on public transit, near public water sources, and in public restrooms. Please see the rubric to understand the content requirements that GreenPeas is using to select the winning poster design.
Graphing Resources [Mastery Project]
HOW MUCH ENERGY IS REQUIRED TO FUEL SOCIETY?
You have been asked by a member of your Community Improvement Board to conduct a case study on two regions and their energy usage over time. The board is interested in investing in a long-term renewable energy solution, but would like to see the data from other countries and regions. You will conduct research comparing one nonrenewable and one renewable resource and identify the amount that it is being used by two regions over time. This will allow you to determine whether investing in this energy source is a responsible decision.