Mathematics Readiness

Created by: DigitalEd and University of Waterloo

Description

Set Your Students Up For Success

The Mathematics Readiness Content Pack consists of lessons, assignments, and questions that provide you with the opportunity to offer your students the benefit of active learning and extra practice for the necessary foundational skills learned in Secondary Education, to build confidence and prepare for HigherEd Mathematics.

What Do You Get From Mathematics Readiness?

  • Refresh Foundational Knowledge – Reinforce existing foundation skills, and strengthen weaker competencies in preparation for first-year mathematics

  • Bridge the Range of Mathematical Backgrounds – set the stage for success with your incoming students by inviting them to get ahead of their studies, and set the stage for success

Course Structure

  • All content is organized into 7 units for easy navigation
  • Course materials provide a strong foundation for creating your readiness solution which include 67 lessons with illustrative visualizations, unlimited practice, helpful hints, and immediate feedback to promote Active Learning
  • Create different forms of assessment materials to evaluate student comprehension through a variety of different question types
  • Pull from a vast selection of over 870 questions that you can use to create your own course materials or supplement existing ones
7 units
67 lessons
7 assignments
870 questions

Getting Started

Unit 1: Inequalities and Absolute Values

  • 1.1 Solving Single-Variable Inequalities

  • 1.2 Inequalities in Two Variables

  • 1.3 Graphing Absolute Value Functions

  • 1.4 Solving Absolute Value Equations

Unit 2: Radicals and Rational Expressions

  • 2.1 Multiplying and Dividing Monomials

  • 2.2 Power of a Power Exponent Rule

  • 2.3 Negative Bases and Integer Exponents

  • 2.4 Rational Exponents — Part 1

  • 2.5 Rational Exponents — Part 2

  • 2.6 Exponent Laws All Together

  • 2.7 Introduction to Radicals

  • 2.8 Operations With Radicals

  • 2.9 Solving Radical Equations

  • 2.10 Introduction to Rational Expressions

  • 2.11 Multiplying and Dividing Rational Expressions

  • 2.12 Adding and Subtracting Rational Expressions

  • 2.13 The Reciprocal of a Polynomial Function

  • 2.14 Vertical Asymptotes and Discontinuity

  • 2.15 End Behaviour Asymptotes

  • 2.16 Rational Functions of the Form y = (ax+b)/(cx+d)

  • 2.17 Analyzing and Comparing Rational Functions

Unit 3: Trigonometry

  • 3.1 Radian Measure

  • 3.2 The Unit Circle

  • 3.3 Trigonometric Ratios and Special Triangles

  • 3.4 Graphs of Primary Trigonometric Functions

  • 3.5 Graphs of Reciprocal Trigonometric Functions

  • 3.6 Transformations of the Sine and Cosine Functions

  • 3.7 Working with Sinusoidal Functions

  • 3.8 Equivalent Trigonometric Expressions

  • 3.9 Proving Trigonometric Identities

  • 3.10 Compound Angle Formulas

  • 3.11 Double Angle Formulas

  • 3.12 Solving Trigonometric Equations

  • 3.13 Inverses

Unit 4: Exponential and Logarithmic Functions

  • 4.1 Exponential Functions

  • 4.2 Solving Exponential Equations

  • 4.3 Logarithmic Functions

  • 4.4 Properties and Laws of Logarithms

  • 4.5 Solving Exponential and Logarithmic Equations

Unit 5: Polynomials

  • 5.1 Introduction to Polynomial Functions

  • 5.2 Even and Odd Polynomial Functions

  • 5.3 Products and Quotients of Functions

  • 5.4 Adding and Subtracting Polynomials

  • 5.5 Multiplying a Polynomial by a Monomial

  • 5.6 Multiplying a Polynomial by a Polynomial

  • 5.7 Division of Polynomials

  • 5.8 Factoring — Common and Trinomials

  • 5.9 Factoring — Difference of Squares and Perfect Squares

  • 5.10 Methods of Factoring Polynomials

  • 5.11 Introduction to the Quadratic Formula

  • 5.12 Solving Polynomial Equations

  • 5.13 Completing the Square

  • 5.14 Equation of a Circle

Unit 6: Introductory Calculus

  • 6.1 Evaluating Limits Graphically

  • 6.2 Properties of Limits

  • 6.3 Methods of Evaluating Limits of Polynomial and 6.4 Limits at Infinity

  • 6.5 Methods of Evaluating Limits: Functions Containing Radicals

  • 6.6 Differentiation Rules

  • 6.7 Finding Equations of Tangent Lines

  • 6.8 The Product Rule

  • 6.9 The Chain Rule

  • 6.10 The Quotient Rule

  • 6.11 Sketching the First and Second Derivative Functions

  • 6.12 Euler’s Number, e, and the Natural Logarithm

  • 6.13 Differentiating the Natural Logarithm Function: f(x) = ln(x)

  • 6.14 Derivatives of Sine and Cosine Functions

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