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Math 7

over 2 years ago

By Gregory Yale

Welcome to my Math 7 class!

I hope you enjoy math as much as I do. If you ever have any questions, I hope you feel comfortable emailing me at gregory.yale@k12.nd.us, or calling the school at 701-427-5237 during my prep time, which is 1:19 to 2:09 pm.  



Milnor Public School

Syllabus for Semester 1 for Math 7

Submitted by: Greg Yale

 

1)      Review of basic concepts of Number Sense, Patterns, and Algebraic Thinking: (3 weeks)

Describe patterns, Variables and Expressions, Powers and Exponents, Order of Operations, Equations and Mental Math, Perimeter and Area, Steps for Problem Solving

2)      Operations with Decimals: (4 weeks)

Comparing decimals, Ordering, Rounding, Adding, Subtracting, Multiplying and Dividing Decimals, Scientific Notation, Measuring in the Metric System, Converting in the Metric System

3)      Data and Statistics: (4 weeks)

Mean, Median and Mode, Bar Graphs and Line Graphs, Stem-and-Leaf Plots, Box-and-Whiskers Plots, Histograms

4)      Number Patterns and Fractions: (4 weeks)

Prime Factorization, Greatest Common Factor, Equivalent Fractions, Least Common Multiple, Mixed Numbers, Improper Fractions, Converting Fractions to Decimals and Decimals to Fractions

5)      Fraction Operations: (3 weeks)

Adding and Subtracting Fractions and Mixed Numbers, Multiplying and Dividing Fractions and Decimals, Measuring in Custom Units, Converting using Custom Units

6)      Integers: (3 weeks)

Comparing and Ordering, Adding, Subtracting, Multiplying and Dividing Integers, Rational Numbers, The Distributive Property and the Cartesian (Rectangular) Coordinate Plane

 

Grading will be by Category:

            Homework                  25%

            Quizzes                        25%

            Tests                            50%


Grading Scale

94-100                                     A

87-93                                       B

80-86                                       C

70-79                                       D

Below 70                                 F

 

Classroom Rules:

1)      I will attempt to treat you with the utmost respect, and I expect you to treat me with respect in return.

2)      With your help, we will try to eliminate controllable distractions.

3)      No food or drinks will be allowed. Water in a sealed container is the only exception to this rule.

4)      Chewing gum will be acceptable, as long as you find a trash receptacle for it and the wrapper when you are done. When I find gum wrappers or gum in inappropriate places, this privilege will be eliminated.

 

I am pleased that you have chosen to take this class. I hope that you are prepared to work. I can’t make the material easy for you, but I will try everything I can think of to help you. If you are willing to make the effort, I believe that you will find that you can be successful. Some may not completely understand every single thing we do, but all should see improvement in their understanding. For the most part, Math is a sequential subject, so my goal is to keep everyone moving down the path, no matter where you started!


Algebra 1

over 2 years ago

By Gregory Yale

WELCOME TO MY ALGEBRA 1 CLASS!

I hope you enjoy math as much as I do. If you ever have any questions, I hope you feel comfortable emailing me at gregory.yale@k12.nd.us, or calling the school at 701-427-5237 during my prep time, which is 1:19 to 2:09 pm.  

MILNOR PUBLIC SCHOOL

SYLLABUS FOR SEMESTER 1 FOR ALGEBRA 1

SUBMITTED BY: GREG YALE

1)      REVIEW OF BASIC CONCEPTS MAKING A CONNECTION TO ALGEBRA: (3 WEEKS)

VARIABLES, EXPONENTS AND POWERS, ORDER OF OPERATIONS, EQUATIONS AND INEQUALITIES, WORD MEANINGS OF MATHEMATICAL SYMBOLS, TABLES AND GRAPHS, FUNCTIONS AND PROBLEM SOLVING

2)      PROPERTIES OF REAL NUMBERS: (4 WEEKS)

REAL NUMBER LINE, ABSOLUTE VALUE, OPERATIONS WITH REAL NUMBERS, DISTRIBUTIVE PROPERTY, COMBINING LIKE TERMS

3)      SOLVING LINEAR EQUATIONS: (4 WEEKS)

SOLVING EQUATIONS, FORMULAS, RATIOS AND RATES, PERCENTS

4)      GRAPHING LINEAR EQUATIONS AND FUNCTIONS: (4 WEEKS)

CARTESIAN (RECTANGULAR) COORDINATE PLANE, GRAPHING LINEAR EQUATIONS (INCLUDING VERTICAL AND HORIZONTAL), DOUBLE INTERCEPT METHOD, SLOPE INTERCEPT METHOD, DIRECT VARIATION, FUNCTIONS AND RELATIONS

5)      WRITING LINEAR EQUATIONS: (3 WEEKS)

POINT SLOPE FORM, WRITING AN EQUATION GIVEN TWO POINTS, STANDARD FORM, MODELING LINEAR EQUATIONS, PERPENDICULAR LINES

6)      SOLVING AND GRAPHING LINEAR INEQUALITIES: (3 WEEKS)

SOLVING INEQUALITIES (INCLUDING COMPOUND INEQUALITIES), ABSOLUTE VALUE INEQUALITIES, GRAPHING LINEAR INEQUALITIES

 

GRADING WILL BE BY CATEGORY:

              HOMEWORK                      25%

              QUIZZES                            25%

              TESTS                                 50%

 

GRADING SCALE

94-100                                            A

87-93                                               B

80-86                                               C

70-79                                               D

BELOW 70                                        F

 

CLASSROOM RULES:

1)      I WILL ATTEMPT TO TREAT YOU WITH THE UTMOST RESPECT, AND I EXPECT YOU TO TREAT ME WITH RESPECT IN RETURN.

2)      WITH YOUR HELP, WE WILL TRY TO ELIMINATE CONTROLLABLE DISTRACTIONS.

3)      NO FOOD OR DRINKS WILL BE ALLOWED. WATER IN A SEALED CONTAINER IS THE ONLY EXCEPTION TO THIS RULE.

4)      CHEWING GUM WILL BE ACCEPTABLE, AS LONG AS YOU FIND A TRASH RECEPTACLE FOR IT AND THE WRAPPER WHEN YOU ARE DONE. WHEN I FIND GUM WRAPPERS OR GUM IN INAPPROPRIATE PLACES, THIS PRIVILEGE WILL BE ELIMINATED.

 

I AM PLEASED THAT YOU HAVE CHOSEN TO TAKE THIS CLASS. I HOPE THAT YOU ARE PREPARED TO WORK. I CAN’T MAKE THE MATERIAL EASY FOR YOU, BUT I WILL TRY EVERYTHING I CAN THINK OF TO HELP YOU. IF YOU ARE WILLING TO MAKE THE EFFORT, I BELIEVE THAT YOU WILL FIND THAT YOU CAN BE SUCCESSFUL. SOME MAY NOT COMPLETELY UNDERSTAND EVERY SINGLE THING WE DO, BUT ALL SHOULD SEE IMPROVEMENT IN THEIR UNDERSTANDING. FOR THE MOST PART, MATH IS A SEQUENTIAL SUBJECT, SO MY GOAL IS TO KEEP EVERYONE MOVING DOWN THE PATH, NO MATTER WHERE YOU STARTED!

Algebra 2

over 2 years ago

By Gregory Yale

WELCOME TO MY ALGEBRA 2 CLASS!

I hope you enjoy math as much as I do. If you ever have any questions, I hope you feel comfortable emailing me at gregory.yale@k12.nd.us, or calling the school at 701-427-5237 during my prep time, which is 1:19 to 2:09 pm.  


MILNOR PUBLIC SCHOOL

SYLLABUS FOR SEMESTER 1 FOR ALGEBRA 2

SUBMITTED BY: GREG YALE

 

1)      REVIEW OF BASIC CONCEPTS OF FUNCTIONS: (3 WEEKS)

TRANSFORMATIONS, PARENT FUNCTIONS, CURVE-FITTING OF LINEAR MODELS

2)      QUADRATIC FUNCTIONS: (4 WEEKS)

TRANSFORMATIONS, STANDARD FORM, SOLVING BY FACTORING, SOLVE BY GRAPHING, COMPLETING THE SQUARE, COMPLEX NUMBERS, QUADRATIC FORMULA

3)      POLYNOMIAL FUNCTIONS: (4 WEEKS)

OPERATIONS WITH POLYNOMIALS, FACTORING POLYNOMIALS, FIND REAL ROOTS OF POLYNOMIALS, THE FUNDAMENTAL THEOREM OF ALGEBRA, GRAPHING POLYNOMIAL FUNCTIONS, TRANSFORMATIONS OF POLYNOMIAL FUNCTIONS, CURVE FITTING FOR POLYNOMIAL MODELS

4)      EXPONENTIAL AND LOGARITHMIC FUNCTIONS: (4 WEEKS)

EXPONENTIAL GROWTH AND DECAY, INVERSES OF FUNCTIONS AND RELATIONS, LOGARITHMIC FUNCTIONS, SOLVING EXPONENTIAL AND LOGARITHMIC EQUATIONS, THE NATURAL BASE “E”, TRANSFORMATIONS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS, AND CURVE FITTING FOR EXPONENTIAL AND LOGARITHMIC MODELS

5)      RATIONAL AND RADICAL FUNCTIONS: (3 WEEKS)

OPERATIONS WITH RATIONAL AND RADICAL FUNCTIONS, SOLVING RATIONAL AND RADICAL EQUATIONS AND INEQUALITIES, SOLVING EQUATIONS BY GRAPHING

6)      PROPERTIES AND ATTRIBUTES OF FUNCTIONS: (3 WEEKS)

MULTIPLE REPRESENTATIONS OF FUNCTIONS, COMPARING FUNCTIONS, PIECEWISE-DEFINED FUNCTIONS, TRANSFORMATIONS, OPERATIONS AND INVERSES, MODELING REAL-WORLD DATA

 

GRADING WILL BE BY CATEGORY:

              HOMEWORK                      25%

              QUIZZES                            25%

              TESTS                                 50%

 

 

 

GRADING SCALE

94-100                                            A

87-93                                               B

80-86                                               C

70-79                                               D

BELOW 70                                       F

 

CLASSROOM RULES:

1)      I WILL ATTEMPT TO TREAT YOU WITH THE UTMOST RESPECT, AND I EXPECT YOU TO TREAT ME WITH RESPECT IN RETURN.

2)      WITH YOUR HELP, WE WILL TRY TO ELIMINATE CONTROLLABLE DISTRACTIONS.

3)      NO FOOD OR DRINKS WILL BE ALLOWED. WATER IN A SEALED CONTAINER IS THE ONLY EXCEPTION TO THIS RULE.

4)      CHEWING GUM WILL BE ACCEPTABLE, AS LONG AS YOU FIND A TRASH RECEPTACLE FOR IT AND THE WRAPPER WHEN YOU ARE DONE. WHEN I FIND GUM WRAPPERS OR GUM IN INAPPROPRIATE PLACES, THIS PRIVILEGE WILL BE ELIMINATED.

 

I AM PLEASED THAT YOU HAVE CHOSEN TO TAKE THIS CLASS. I HOPE THAT YOU ARE PREPARED TO WORK. I CAN’T MAKE THE MATERIAL EASY FOR YOU, BUT I WILL TRY EVERYTHING I CAN THINK OF TO HELP YOU. IF YOU ARE WILLING TO MAKE THE EFFORT, I BELIEVE THAT YOU WILL FIND THAT YOU CAN BE SUCCESSFUL. SOME MAY NOT COMPLETELY UNDERSTAND EVERY SINGLE THING WE DO, BUT ALL SHOULD SEE IMPROVEMENT IN THEIR UNDERSTANDING. FOR THE MOST PART, MATH IS A SEQUENTIAL SUBJECT, SO MY GOAL IS TO KEEP EVERYONE MOVING DOWN THE PATH, NO MATTER WHERE YOU STARTED!


Geometry

over 2 years ago

By Gregory Yale

WELCOME TO MY Geometry CLASS!

I hope you enjoy math as much as I do. If you ever have any questions, I hope you feel comfortable emailing me at gregory.yale@k12.nd.us, or calling the school at 701-427-5237 during my prep time, which is 1:19 to 2:09 pm. 


Milnor Public School

Syllabus for Semester 1 for Geometry

Submitted by: Greg Yale

 

1)      Review of basic concepts forming a foundation to Geometry: (3 weeks)

Understand Points, Lines and Planes, Construct Segments, Construct Angles, Common Pairs of Angles, Basic formulas used in Geometry, Transformations in the Coordinate Plane

2)      Geometric Reasoning and Proof: (4 weeks)

Inductive and Deductive Reasoning, Conditional and Biconditional Statements, Algebraic Proofs, Geometric Proofs

3)      Parallel and Perpendicular Lines: (4 weeks)

Names of Angles formed by parallel lines, Proving lines are parallel, Construct parallel and perpendicular lines, Slope and Lines in the Coordinate Plane

4)      Triangles: (4 weeks)

Congruence and Transformation of Triangles, Classifying Triangles, Angle Relationships within Triangles, Proving Triangles Congruent, Coordinate Proofs, Isosceles and Equilateral Triangle Properties

5)      Properties and Attributes of Triangles: (3 weeks)

Incenter, Circumcenter, Orthocenter and Centroid, Midsegment of a Triangle, Indirect Proof, Inequalities in a Triangle, Inequalities in Two Triangles, Pythagorean Theorem, 30-60-90 and 45-45-90 right triangles

6)      Polygons and Quadrilaterals: (3 weeks)

Properties and Attributes of Polygons with emphasis on Parallelograms, Rhombi, Rectangles and Squares, as well as Kites and Trapezoids

 

 Grading will be by Category:

              Homework                      25%

              Quizzes                            25%

              Tests                                 50%


Grading Scale

94-100                                            A

87-93                                               B

80-86                                               C

70-79                                               D

Below 70                                        F

 

Classroom Rules:

1)      I will attempt to treat you with the utmost respect, and I expect you to treat me with respect in return.

2)      With your help, we will try to eliminate controllable distractions.

3)      No food or drinks will be allowed. Water in a sealed container is the only exception to this rule.

4)      Chewing gum will be acceptable, as long as you find a trash receptacle for it and the wrapper when you are done. When I find gum wrappers or gum in inappropriate places, this privilege will be eliminated.

 

I am pleased that you have chosen to take this class. I hope that you are prepared to work. I can’t make the material easy for you, but I will try everything I can think of to help you. If you are willing to make the effort, I believe that you will find that you can be successful. Some may not completely understand every single thing we do, but all should see improvement in their understanding. For the most part, Math is a sequential subject, so my goal is to keep everyone moving down the path, no matter where you started!

Trigonometry

over 2 years ago

By Gregory Yale

WELCOME TO MY trigonometry CLASS!

I hope you enjoy math as much as I do. If you ever have any questions, I hope you feel comfortable emailing me at gregory.yale@k12.nd.us, or calling the school at 701-427-5237 during my prep time, which is 1:19 to 2:09 pm. 


Milnor Public School

Syllabus for Semester 1 for Trigonometry

Submitted by: Greg Yale

 

1)      Review of Prerequisites: (3 weeks)

Real Numbers and Their Properties, Exponents and Radicals, Polynomial and Special Products, Factoring Polynomials, Rational Expressions, Error and the Algebra of Calculus, Cartesian Coordinate System

2)      Equations, Inequalities and Mathematical Modelling: (3 weeks)

Graphs of Linear and Quadratic Equations (Parent Functions and Transformations), Complex Numbers, Other Types of Equations and Inequalities

3)      Functions and Their Graphs: (3 weeks)

Linear Functions, Combinations of Functions, Composition of Functions, Inverse Functions

4)      Polynomial Functions: (4 weeks)

Quadratic and Higher Degree Functions, Long and Synthetic Division, Zeroes, Direct, Inverse and Joint Variation

5)      Rational Functions and Conics: (2 weeks)

Rational Functions and Their Horizontal (or Slant) and Vertical Asymptotes (as well as holes in the graph), Circle, Ellipse, Parabola and Hyperbola

6)      Exponential and Logarithmic Functions: (2 weeks)

Graphs of Exponential and Logarithmic Functions, Properties of Logarithms, Modelling

 

Grading will be by Category:

              Homework                      25%

              Quizzes                            25%

              Tests                                 50%

 

Grading Scale

94-100                                            A

87-93                                               B

80-86                                               C

70-79                                               D

Below 70                                        F

 

Classroom Rules:

1)      I will attempt to treat you with the utmost respect, and I expect you to treat me with respect in return.

2)      With your help, we will try to eliminate controllable distractions.

3)      No food or drinks will be allowed. Water in a sealed container is the only exception to this rule.

4)      Chewing gum will be acceptable, as long as you find a trash receptacle for it and the wrapper when you are done. When I find gum wrappers or gum in inappropriate places, this privilege will be eliminated.

 

I am pleased that you have chosen to take this class. I hope that you are prepared to work. I can’t make the material easy for you, but I will try everything I can think of to help you. If you are willing to make the effort, I believe that you will find that you can be successful. Some may not completely understand every single thing we do, but all should see improvement in their understanding. For the most part, Math is a sequential subject, so my goal is to keep everyone moving down the path, no matter where you started!


Consumer Math

over 2 years ago

By Gregory Yale

WELCOME TO MY Consumer math CLASS!


I hope you enjoy math as much as I do. If you ever have any questions, I hope you feel comfortable emailing me at gregory.yale@k12.nd.us, or calling the school at 701-427-5237 during my prep time, which is 1:19 to 2:09 pm.  


Milnor Public School

Syllabus for Semester 1 for Consumer Math

Submitted by: Greg Yale

 

1)      Review of basic concepts: (3 weeks)

Equivalent Fractions, Converting Improper Fractions to Mixed Numbers and back, Operations with Fractions and Mixed Numbers, Operations with Decimals

2)      Financing: (4 weeks)

Calculating Simple Interest, Calculating Compound Interest, Borrowing Money, Debt Accumulation and Risks, Credit Cards, Student Loans, Advantages to Owning a Home, Investments (Savings, Annuities, Mutual Funds, Stocks)

3)      Measurement, Area and Volume, Capacity: (4 weeks)

Measurement in the English System and Metric, Conversion of units from English to English, Metric to Metric and English to Metric and Metric to English, Area for common shapes in the English and Metric System, Volume for common shapes in the English and Metric System, Capacity in the English and Metric System, Conversion from Volume to Capacity and Capacity to Volume in the English and Metric System, Pythagorean Theorem

4)      Brief Review of Algebra: (4 weeks)

Solving Linear Equations in 2 variables, Functions and Function Notation,

5)      Sequence and Series: (3 weeks)

Sequence, Arithmetic Sequence, Partial Sum of and Arithmetic Series, Geometric Sequence, Partial Sum of a Geometric Series, Finite sum of an infinite geometric series

6)      Right Triangle Trigonometry: (3 weeks)

Sine, Cosine and Tangent, Area of a triangle, Applications

 

 Grading will be by Category:

              Homework                      25%

              Quizzes                            25%

              Tests                                 50%

 

 

 

Grading Scale

94-100                                            A

87-93                                               B

80-86                                               C

70-79                                               D

Below 70                                        F

 

Classroom Rules:

1)      I will attempt to treat you with the utmost respect, and I expect you to treat me with respect in return.

2)      With your help, we will try to eliminate controllable distractions.

3)      No food or drinks will be allowed. Water in a sealed container is the only exception to this rule.

4)      Chewing gum will be acceptable, as long as you find a trash receptacle for it and the wrapper when you are done. When I find gum wrappers or gum in inappropriate places, this privilege will be eliminated.

 

I am pleased that you have chosen to take this class. I hope that you are prepared to work. I can’t make the material easy for you, but I will try everything I can think of to help you. If you are willing to make the effort, I believe that you will find that you can be successful. Some may not completely understand every single thing we do, but all should see improvement in their understanding. For the most part, Math is a sequential subject, so my goal is to keep everyone moving down the path, no matter where you started!