## Foundations of Math 12

Foundations of Math 12 is intended to help students continue on the path to post secondary studies focused in the arts or humanities. Students in this course will examine big ideas in math including financial planning and probability, with an emphasis on problem solving and critical thinking skills. Specifically, students will cover topics such as Combinatorics, Probability, Regression and Financial Planning.

StudyForge Foundations of Math 12 is intentionally designed for student success, featuring elements such as:

- Video, Audio and Hands-on instruction through videos and interactives
- Practice questions with detailed solutions for self-assessment
- A student notebook that accompanies the instruction, to enhance engagement with course material
- Summative assessments for each module – randomized to allow retests for mastery
- A customized dashboard to let you know which students are most needing your help
- A variety of Inquiry-based projects
- Solution Files & Answer Keys
- And more.

*Foundations of Math 12 requires that students have completed the prerequisite course: Foundations of Math 11.*

## Table of Contents

*Each lesson is designed to take 60 – 90 minutes to complete with the exception of major projects and assignments.

Lesson 1: Fractals

Lesson 2: Conics

Lesson 3: Construction

Lesson 4: Tangents

Lesson 2: Conics

Lesson 3: Construction

Lesson 4: Tangents

Lesson 1: The Fundamental Counting Principle

Lesson 2: Permutations

Lesson 3: Combinations

Lesson 4: Pathways and Pascal’s Triangle

Lesson 5: The Binomial Theorem

Lesson 2: Permutations

Lesson 3: Combinations

Lesson 4: Pathways and Pascal’s Triangle

Lesson 5: The Binomial Theorem

Lesson 1: Sample Space

Lesson 2: Classifying Events (Mutually Exclusive or Not)

Lesson 3: Classifying Events (Dependent or Independent)

Lesson 4: Conditional Probability

Lesson 5: Binomial Situations and Probability

Lesson 6: Expected Value and Odds

Lesson 7: Odds

Lesson 2: Classifying Events (Mutually Exclusive or Not)

Lesson 3: Classifying Events (Dependent or Independent)

Lesson 4: Conditional Probability

Lesson 5: Binomial Situations and Probability

Lesson 6: Expected Value and Odds

Lesson 7: Odds

Lesson 1: Linear Regression

Lesson 2: Polynomial and Sinusoidal Regression

Lesson 3: Exponential and Logarithmic Regression

Lesson 4: General Regression

Lesson 2: Polynomial and Sinusoidal Regression

Lesson 3: Exponential and Logarithmic Regression

Lesson 4: General Regression

Lesson 1: Introduction to Financial Services and Bank Accounts

Lesson 2: Credit Cards

Lesson 3: Mortgages

Lesson 4: Investing

Lesson 2: Credit Cards

Lesson 3: Mortgages

Lesson 4: Investing

Lesson 1: Design Your Own Game Project

Lesson 2: Fish Stocks Populations Project

Lesson 3: Going For The Prize Project

Project: Going For The Prize Project

Project: Design Your Own Game Project

Project: Fish Stocks Populations Project

Lesson 2: Fish Stocks Populations Project

Lesson 3: Going For The Prize Project

Project: Going For The Prize Project

Project: Design Your Own Game Project

Project: Fish Stocks Populations Project

## Experience a lesson as your students would

## Don’t Take Our Word for It!

## See What Others Have to Say:

StudyForge has been an effective instructional program for students who are learning math. There are many visual representations as well as audio explanations on all the topics. Most of the practice questions provide both an answer and a solution to help students understand the procedures. From the teacher’s perspective, the course instruction can be easily rearranged for students who need a review of concepts from a previous grade.

## SONYA

## Online Teacher at EBUS Academy

I have been using the StudyForge math videos for a year now. The benefits were immediate as I was able to free up the time spent with my students to better track their progress and construct personalized learning goals. My students love the ease of use of the system and most of all, the increase in their test scores! I can’t ever imagine going back to a traditional classroom!

## Scott

## Blended Teacher at Brampton Christian School

I think the videos are excellent. Unlike lectures, I can actually rewind back and forth as much as I want. In class, students kind of miss important information because they are busy writing notes.

## Alice P

## StudyForge Student

I love the reporting tool. In my distributed learning context, seeing student’s work habits in a helpful format has become invaluable to me. I wouldn’t ever want to give one on one help to students again without the course overview report handy!

## Ryan J.

## Online Teacher

## Course Features

- Interactive applets which help foster a conceptual and intuitive understanding of fundamental topics.
- Digital DESMOS Graphing Calculator within the course