We will start the lesson discussing what open educational resources are. Please watch the video first and read through the content. It is important to understand the concept of open educational resources as it will be the base for the rest of the modules.

Why do open educational resources matter? What is the point of using OER? Below are some of the benefits of using open educational resources that I have seen while working with OER over the past several years.

Your action plan is an internal planning document for how you will convince key internal and external constituents to support for the work that you are doing. It is intended as a living document that you can revisit as you review the results of your advocacy activities and refine your advocacy strategy. Think of it as a skeleton you can work to fill in.

While essays and research papers are likely the most common types of writing assignments you’ll receive in college, more and more, students are being expected to write in digital environments. In the 21st century, you’re likely to be asked to create a PowerPoint or Prezi to present the main points of your research paper, or you may be asked to create an electronic portfolio to share all of your work for a semester. Students in online classes will write discussion board posts every week, and some professors are even replacing some of your traditional essay assignments with assignments like photo essays or video essays.

The OER Toolkit aims to improve equitable access to open learning resources and services to college students by providing a province-wide academic support platform for faculty to use while designing courses and assignments. The Toolkit is a one-stop guide to open educational resources, providing faculty and library staff with tools and information to understand, engage with, create, and sustain OER in their work and practice.

The Toolkit is designed to be used by anyone involved with OER at an academic institution, whether you are part of a team that is collaborating to create OER, a library staff member who is supporting OER development and use, an advocate for OER at your institution, or an instructor seeking to incorporate OER and open pedagogy in the classroom. The primary purpose of this Toolkit is to support faculty and library staff at Ontario colleges; however, it is openly available for use beyond the Ontario college community.

Module 1 sets the stage for expanding students' understanding of transformations by exploring the notion of linearity.  This leads to the study of complex numbers and linear transformations in the complex plane.  The teacher materials consist of the teacher pages including exit tickets, exit ticket solutions, and all student materials with solutions for each lesson in Module 1.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

Module 2 extends the concept of matrices introduced in Module 1.  Students look at incidence relationships in networks and encode information about them via high-dimensional matrices.  Matrix properties are studied as well as the role of the zero and identity matrices.  Students then use matrices to study and solve higher order systems of equations.  Vectors are introduced, and students study the arithmetic of vectors and vector magnitude.  The module ends as students program video games using matrices and vectors.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

Students revisit the fundamental theorem of algebra as they explore complex roots of polynomial functions.  They use polynomial identities, the binomial theorem, and Pascal’s Triangle to find roots of polynomials and roots of unity. Students compare and create different representations of functions while studying function composition, graphing functions, and finding inverse functions.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

This module revisits trigonometry that was introduced in Geometry and Algebra II, uniting and further expanding the ideas of right triangle trigonometry and the unit circle.  New tools are introduced for solving geometric and modeling problems through the power of trigonometry.  Students explore sine, cosine, and tangent functions and their periodicity, derive formulas for triangles that are not right, and study the graphs of trigonometric functions and their inverses.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

In this module, students build on their understanding of probability developed in previous grades.  In Topic A the multiplication rule for independent events introduced in Algebra II is generalized to a rule that can be used to calculate probability where two events are not independent.  Students are also introduced to three techniques for counting outcomes.  Topic B presents information related to random variables and discrete probability distributions.  Topic C is a capstone topic for this module, where students use what they have learned about probability and expected value to analyze strategies and make decisions in a variety of contexts.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

In the first half of this module, students identify measurable attributes of objects in terms of length, weight, and capacity.  Students learn words such as small, big, short, tall, empty, full, heavy, and light so that they will have the vocabulary needed to describe objects (PK.MD.1).  The comparison of length, weight, and capacity naturally leads to discussions about quantity and number.  In the second half, measurement is connected to quantity as students reason if there are enough, more than, less than, or the same number of objects in a set using matching and counting strategies (PK.CC.5).  Comparing concrete sets leads to comparing quantities and abstract numbers.  Children will also focus on identifying first and last in quantities up to 5 and 10 in different configurations (PK.CC.6).

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

Module 5 is the culmination of children’s work with number in the Pre-K year.  Throughout Modules 1 and 3, they had extensive counting experiences with numbers 0–10.  In Module 4, they examined the relationships between numbers 1–5 through comparison.  In Module 5, children transition from the comparative concept of more (4 apples is more than 1 apple) to the concept of addition (3 apples and 1 more apple make 4 apples).  They are ready to begin work with operations, focusing on addition and subtraction stories with numbers 1 to 5.  Students will also learn to write numerals 0-5 and explore patterns in this final module.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

Module 1 capitalizes on the energy and excitement young students have as they enter their first day of Pre-K by providing a playful and active yet carefully sequenced structure through which children progress.  In this module, we set up a friendly learning environment in which children have sustained interaction with four core ideas, collectively referred to as the number core:  rote counting (the number word list), one-to-one correspondence (one object paired with one number word), cardinality (how many in a set), and written numerals.  Throughout the module, children have experiences that help them make critical connections between these four understandings.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

In Module 2, in the context of classroom play, children learn to identify, describe, sort, compare, and create two-dimensional (2-D) and three-dimensional (3-D) shapes and objects. Children develop vocabulary to describe the relative position of objects (e.g., top, bottom, up, down, in front of, behind, over, under, and next to), building foundational spatial reasoning abilities. In Module 1, students developed an understanding of numbers to 5. In Module 2, students practice these counting skills in the context of geometry (counting sides, corners, a group of triangles, etc.).

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

Module 3 challenges students to build on their work with numbers through 5 to make sense of and count groups of 0, 6, 7, 8, 9, and 10 objects. Students also continue their work with the number core in the following ways (PK.CC.1–4): Rote counting (the number word list up to 15); one-to-one correspondence (one object paired with one number word from 0 to 10); cardinality (how many in a set of up to 10 objects); andnumber recognition (matching written numerals 0, 6, 7, 8, 9, and 10 to quantities). Throughout the module, children participate in engaging experiences that help them make critical connections between these four understandings.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

By the end of this section, you will be able to:

Analyze arguments against economic approaches to decision-making
Interpret a tradeoff diagram
Contrast normative statements and positive statements

By the end of this section, you will be able to:Calculate and graph budget constraintsExplain opportunity sets and opportunity costsEvaluate the law of diminishing marginal utilityExplain how marginal analysis and utility influence choices

In this Unit, you will learn about:How Individuals Make Choices Based on Their Budget ConstraintThe Production Possibilities Frontier and Social ChoicesConfronting Objections to the Economic Approach

By the end of this section, you will be able to:

Interpret production possibilities frontier graphs
Contrast a budget constraint and a production possibilities frontier
Explain the relationship between a production possibilities frontier and the law of diminishing returns
Contrast productive efficiency and allocative efficiency
Define comparative advantage

By the end of this section, you will be able to:

Identify equilibrium price and quantity through the four-step process
Graph equilibrium price and quantity
Contrast shifts of demand or supply and movements along a demand or supply curve
Graph demand and supply curves, including equilibrium price and quantity, based on real-world examples