10th - 11th Grade Mathematics

Teacher: Anne
Customers Who Have Viewed This Course: 311
$499.00

Introduction

0 Course Introduction 03:04

Unit 1 Foundational Skills

1 Lesson 1a: The Real Number System 15:55

1 Lesson 1a Practice Review 05:20

2 Lesson 1b: Operations on Rational Numbers 15:25

2 Lesson 1b Practice Review 09:29

3 Lesson 2a: Foundations of Graphing 05:22

3 Lesson 2b: Units and Scaling of Graphs 18:40

3 Lesson 2 Practice Review 07:05

4 Lesson 3: Understanding Units 16:24

4 Lesson 3 Practice Review 04:53

5 Lesson 4: Converting Between Units of Measure 21:45

5 Lesson 4 Practice Review 10:38

6 Lesson 5a: Surface Area Application 10:56

6 Lesson 5b: Volume Application 09:02

6 Lesson 5 Practice Review 06:18

7 Lesson 6: Using Pythagorean Theorem 12:11

7 Lesson 6 Practice Review 05:20

Unit 2 Linear Equations and Inequalities

8 Lesson 1: Creating Equations and Inequalities 13:52

8 Lesson 1 Practice Review 06:51

9 Lesson 2: Solving Equations and Inequalities 16:21

9 Lesson 2 Practice Review 06:30

10 Lesson 3a: Solving Systems by Substitution 13:02

10 Lesson 3a Practice Review 06:35

11 Lesson 3b: Solving Systems by Elimination 15:23

11 Lesson 3b Practice Review 06:36

12 Lesson 3c: Solving Systems by Graphing 15:39

12 Lesson 3c Practice Review 05:30

13 Lesson 4: Solving Systems of Linear Inequalities 14:42

13 Lesson 4 Practice Review 08:33

14 Lesson 5: Applications of Systems 12:34

14 Lesson 5 Practice Review 08:14

Unit 3 Polynomials

15 Lesson 1: Introduction to Polynomials and Factoring 11:58

15 Lesson 1 Practice Review 05:57

16 Lesson 2: Factoring Trinomials 15:33

16 Lesson 2 Practice Review 08:28

17 Lesson 3: Difference of Squares 13:37

17 Lesson 3 Practice Review 06:10

18 Lesson 4: Perfect Square Trinomials 10:01

18 Lesson 4 Practice Review 04:57

19 Lesson 5: Solving Quadratic Equations by Factoring 19:58

19 Lesson 5 Practice Review 07:57

20 Lesson 6: Solving Quadratic Equations by Graphing 12:50

20 Lesson 6 Practice Review 03:52

21 Lesson 7: Solving Quadratic Equations using Quadratic Formula 17:49

21 Lesson 7 Practice Review 09:06

22 Lesson 8: Dividing Polynomials 14:51

22 Lesson 8 Practice Review 04:20

23 Lesson 9: Polynomial Remainder Theorem 09:23

23 Lesson 9 Practice Review 10:27

24 Lesson 10: Using Roots of Polynomials 11:16

24 Lesson 10 Practice Review 06:07

25 Lesson 11: Graphing Polynomials 22:16

25 Lesson 11 Practice Review 05:11

26 Lesson 12: Fundamental Theorem of Algebra 12:56

26 Lesson 12 Practice Review 08:14

Mid-term Exam

0 Final Exam Part I (Units 1-3) 00:00

This is an optional final exam to assess learning over units 1-3 as a whole. To grade this final, find the answer key in the resources section.

Unit 4 Complex Numbers

27 Lesson 1: Introduction to Complex Numbers 12:06

27 Lesson 1 Practice Review 04:41

28 Lesson 2a: Adding and Subtracting Complex Numbers 04:53

28 Lesson 2a Practice Review 01:58

29 Lesson 2b: Multiplying Complex Numbers 06:51

29 Lesson 2b Practice Review 04:09

30 Lesson 2c: Dividing Complex Numbers 05:59

30 Lesson 2c Practice Review 05:20

31 Lesson 3: Graphing Complex Numbers 09:15

31 Lesson 3 Practice Review 04:24

32 Lesson 4: Absolute Value of Complex Numbers 10:33

32 Lesson 4 Practice Review 06:14

Unit 5 Vectors and Matrices

33 Lesson 1: Introduction to Vectors 12:05

33 Lesson 1 Practice Review 05:07

34 Lesson 2a: Scalar Multiplication on Vectors 05:31

34 Lesson 2a Practice Review 02:20

35 Lesson 2b: Addition and Subtraction of Vectors 10:46

35 Lesson 2b Practice Review 03:50

36 Lesson 3: Magnitude of Vectors 15:47

36 Lesson 3 Practice Review 04:41

37 Lesson 4: Introduction to Matrices 09:18

37 Lesson 4 Practice Review 03:31

38 Lesson 5: Basic Operations on Matrices 08:06

38 Lesson 5 Practice Review 03:49

39 Lesson 6a: Matrix Multiplication Part I 13:33

39 Lesson 6b: Matrix Multiplication Part II 08:39

39 Lesson 6 Practice Review 10:02

40 Lesson 7: Special Matrices (Zero and Identity) 16:44

40 Lesson 7 Practice Review 06:30

41 Lesson 8: Inverse Matrices 13:32

41 Lesson 8 Practice Review 08:12

Unit 6 Right Triangles

42 Lesson 1: Converse of the Pythagorean Theorem 12:23

42 Lesson 1 Practice Review 03:32

43 Lesson 2: Right Triangle Trigonometry 22:32

43 Lesson 2 Practice Review 06:05

44 Lesson 3: Solving for the Sides 19:02

44 Lesson 3 Practice Review 04:55

45 Lesson 4: Solving for the Angles 14:21

45 Lesson 4 Practice Review 03:39

46 Lesson 5: Right Triangle Applications 16:08

46 Lesson 5 Practice Review 10:20

47 Lesson 6: Right Triangle Applications Part II 20:14

47 Lesson 6 Practice Review 11:00

Final Exam

0 Final Exam Part II (Units 4-6) 00:00

This is an optional final exam to assess learning over units 4-6 as a whole. To grade this final, find the answer key in the resources section.

Course Description

Math for 10th – 11th Grade weaves together previous study of algebra concepts into a preparatory course for Algebra 2, Trigonometry, and Precaluclus.  The course progresses from foundational concepts like understanding the real number system and conversion of units of measure to linear equations and inequalities before moving into a study of polynomials with an emphasis on quadratic equations.  It then extends into the complex number system and explores topics like vectors, matrices, and right triangle properties and trigonometry. The course topics address both abstract mathematical concepts as well as real-world problem situations, uniquely blending both algebraic and geometric concepts and approaches. There is consistent emphasis on explaining mathematical terminology, knowing that this is key for overcoming common stumbling blocks and reaching deeper understanding and therefore confidence. The course focuses on the mastery of critical and foundational skills and exposure to new skills necessary for success in subsequent math courses.

Course Includes

 

  • 16+ hours of engaging instructional video
  • 6 Units
  • 50 video lessons
  • 47 practice worksheets with printable answer keys
  • 47 worksheet review videos where I go over each of the exercises
  • 47 online “Knowledge Check” quizzes
  • 15 “Challenge Problems” as extensions to each unit’s knowledge 
  • Solutions sets to each of the 47 “Knowledge Check Quizzes”
  • Solutions sets to each of the 15 challenge problems
  • Guided solutions showing step by step work to each of the 15 challenge problems
  • Final Exam for Units 1-3
  • Final Exam for Units 4-6
  • Solutions sets for both final exams
  • Introduction to Desmos video showing helpful hints for first time users

 

Course Goals

Upon completion of this course, students will be prepared to move on to math courses which demands strong algebra skills such as: Trigonometry, analytic Geometry, Precalculus, Linear Algebra, and eventually courses like Calculus and Statistics.  

 

Course Requirements

Student taking this course are expected to have basic algebra skills such simplify expressions using order of operations, plotting points and graphing lines in slope-intercept form (y = mx + b) .

 

Target Audience

This video course is primarily intended for students who have already mastered Algebra 1 concepts and is designed so that it can be taken before or after both Geometry and Algebra 2. This course will also help students in building their mathematical and analytical skills which will prepare them for taking other courses in mathematics and the sciences. 

 

Technology

Students will need a calculator capable of performing the basic operations, as well as square roots and trigonometric functions.

The majority of the lessons are taught so that technology is not needed. However there are some where the use of a calculator or computer is required. If the student has a scientific calculator (performs basic operations as well as square roots and trigonometric functions) or graphing calculator such as a TI-83 or 84 that will be sufficient, or a student can use the free online resources www.wolframalpha.com and www.desmos.com.

Under the Additional Resources for Parents are tutorial videos that show how to use either online resources or a calculator to perform the work needed.

 

Course Topics

Unit 1- Foundational Skills

Understand the Real Number System

Perform Arithmetic Operations on Rational Numbers

Rationalize the denominator

Understand the key components of graphing

Scaling graphs of data

Understand different measurement systems

Convert between units and systems of measure (Dimensional Analysis)

Solve application problems using measurement conversions

Area of 3D objects

Volume of 3D objects

Pythagorean Theorem

 

Unit 2- Linear Equations and Inequalities

Translate statements into mathematical expressions/equations/inequalities

Solve equations and inequalities with one variable

Substitution method to solve systems of linear equations

Elimination method to solve systems of linear equations  

Graphing to solve systems of linear equations by graphing

Graphing systems of linear inequalities

Applications of systems

 

Unit 3- Polynomials

Factor polynomials using the GCF

Factor quadratic trinomials

Factor using the difference of two squares

Factor perfect square trinomials

Solve quadratic equations by square root method

Solve quadratic equations by factoring

Understand and apply the Zero Product Property

Solve quadratic equations by graphing, finding intersections

Solve quadratic equations by the quadratic formula

Long division of polynomials

Polynomial Remainder Theorem

Write polynomial equations from roots

Find real and non-real roots of polynomial equations

Key characteristics of polynomial equations

Graphing polynomial equations

Fundamental Theorem of Algebra

 

Unit 4- Complex Numbers

Understand the complex number system

Powers of i

Understanding the complex plane

Conjugates of complex numbers

Adding/Subtracting complex numbers

Multiplying/Dividing complex numbers

Absolute Value of complex numbers

Graphing complex numbers

 

Unit 5- Vectors and Matrices

Understanding vectors v. scalars

Vector notation

Graphing vectors

Unit Vectors

Scalar multiplication on vectors

Addition/subtraction of vectors

Magnitude of vectors

Matrix notation and dimensions

Scalar multiplication on matrices

Addition/subtraction of matrices

Matrix multiplication

Zero Matrix

Identity Matrix

Determinant of a matrix

Inverse Matrices

 

Unit 6- Right Triangles

Converse of the Pythagorean Theorem

Classifying triangles by sides and angles

Right Triangle Trigonometry

Solving for Unknown Sides using trigonometry

Solving for unknown angles using trigonometry

Trigonometry applications

 

 

 

 

 

 

 

  • Teacher: Anne
  • Areas of expertise: Mathematics Grade 6-12
  • Education: MAT, Wheaton College 2016; BS in Mathematics, Wheaton College 2011
  • Interests: writing, sports, music, all sorts of board and card games
  • Skills: play piano, video edit, coach basketball
  • Associations: State Licensed Teacher
  • Issues I care about: Helping students become far more confident in mathematics than they thought was possible!

1.1 Knowledge Check

Final Exam Answer Keys

These are the answer keys for both parts of the final. Use these to grade and score the exams.

Introduction to Desmos

Helpful hints for first time Desmos users!

Unit 1 Challenge Problems

These problems are designed to be an optional extension for students who are looking to challenge themselves using the knowledge gained from Unit 1.

Guided Solutions to Unit 1 Challenge Problems

These show a full step by step process with comments added in to help explain the work to solve each Challenge Problem.

Answer Key for Unit 1 Challenge Problems

These include only the answers in order to first check accuracy of your work.

Answers to Knowledge Check Quizzes

All of the answer keys to the online multiple choice quizzes called "Knowledge Checks" are included.

Unit 2 Challenge Problems

These problems are designed to be an optional extension for students who are looking to challenge themselves using the knowledge gained from Unit 2.

Guided Solutions to Unit 2 Challenge Problems

These show a full step by step process with comments added in to help explain the work to solve each Challenge Problem.

Answer Key for Unit 2 Challenge Problems

These include only the answers in order to first check accuracy of your work.

Unit 3 Challenge Problems

These problems are designed to be an optional extension for students who are looking to challenge themselves using the knowledge gained from Unit 3.

Guided Solutions to Unit 3 Challenge Problems

These show a full step by step process with comments added in to help explain the work to solve each Challenge Problem.

Answer Key for Unit 3 Challenge Problems

These include only the answers in order to first check accuracy of your work.

Unit 4 Challenge Problems

These problems are designed to be an optional extension for students who are looking to challenge themselves using the knowledge gained from Unit 4.

Guided Solutions to Unit 4 Challenge Problems

These show a full step by step process with comments added in to help explain the work to solve each Challenge Problem.

Answer Key for Unit 4 Challenge Problems

These include only the answers in order to first check accuracy of your work.

Unit 5 Challenge Problems

These problems are designed to be an optional extension for students who are looking to challenge themselves using the knowledge gained from Unit 5.

Guided Solutions to Unit 5 Challenge Problems

These show a full step by step process with comments added in to help explain the work to solve each Challenge Problem.

Unit 6 Challenge Problems

These problems are designed to be an optional extension for students who are looking to challenge themselves using the knowledge gained from Unit 6.

Guided Solutions to Unit 6 Challenge Problems

These show a full step by step process with comments added in to help explain the work to solve each Challenge Problem.

Answer Key for Unit 5 Challenge Problems

These include only the answers in order to first check accuracy of your work.

Answer Key for Unit 6 Challenge Problems

These include only the answers in order to first check accuracy of your work.

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