Course Description

This course is divided into 8 sessions with weekly classes over eight weeks. The curriculum has been designed to prepare students for the skills and concepts on the SAT Math section. In addition to reviewing the mathematical skills assessed on the SAT test (number and operations, algebra and function, geometry and measurement, data analysis, statistics, and probability), students will also learn test-taking strategies specific to the exam. Materials include samples with explanations, grading rubrics for peer and self-assessment, practice tests with complete multiple-choice and student-response assessments, and study resources. Upon successful completion, students will possess the tools necessary to complete the Math SAT to the best of their ability.

Day 1 (Jan 30): Introduction to Summer SAT Class

We will go over the format and scoring of the SAT math section and answer general questions about approaching the diagnostic test. After general Q&A, we will begin looking at concepts in basic arithmetic.

• Review of syllabus
• Introduction to class

SAT Math Overview

• Overview of SAT format and scoring
• Breakdown of math topics covered

Arithmetic and Basic Math

• Properties of numbers
• Factors, multiples
• Fractions
• Order of operations

DIAGNOSTIC TEST

Day 2 (Feb 6): Basic Math

We continue our exploration of math properties, covering how to simplify and perform operations on exponents, radicals, and other mathematical operations required on the SAT.

• Ratios, rates, percentages, proportions
• Exponents and radicals
• Simplifying exponential and radical expressions
• Scientific notation
• Systems of Linear Equations

Day 3 (Feb 13): Heart of Algebra I

We will go over the diagnostic test and answer any questions. We will also start our review of necessary Algebra I and II skills. Day 3 focuses on first degree algebraic expressions and linear equations.

• Heart of Algebra I
• Algebraic Expressions
• Linear Equations
  • Slope, y-intercept
  • Applications of linear equations
  • Parallel and perpendicular lines
• Systems of Linear Equations

Day 4 (Feb 20): Heart of Algebra II

We continue with our second day of review of Algebra. Day 4 focuses on functions and their properties.

1. Functions
2. Composite functions
3. Domain and range
4. Inverse functions

Day 5 (Feb 27): Advanced Math I

We begin looking at Advanced Math topics by exploring polynomials and operations of polynomials. We will focus on factoring, finding the roots of polynomials, and graphs of polynomials.

1. Polynomials
2. Operations with polynomials
3. Roots of polynomials
   1. Fundamental theorem of Algebra
4. Factoring polynomials
   1. Rational Root Theorem
5. Graphs of a polynomial

Day 6 (Mar 6): Advanced Math II

We will look closely at quadratics and the different forms in which quadratics can present. We will also look at different ways of solving quadratic equations and systems of quadratic and linear equations. A midterm exam will be assigned to assess progress.

1. Graphs of quadratics
2. Solving quadratics
   1. Completing the square
   2. Quadratic formula
   3. Graphing
   4. Square root
3. Systems of quadratic and linear equations

Day 7 (Mar 13): Statistics, graphs, and data interpretation/analysis

This lesson focuses on statistics/data analysis and interpreting and understanding graphs on the SAT. Questions on the midterm exam will be reviewed.

1. Graphical displays of continuous and discrete data
2. Data collection (sampling)
3. Measures of center and spread
4. Scatter plots and regression lines

Day 8 (Mar 20): Final Review

We will go over any questions on the final exam. Prior to this class, requested topics will be polled and we will spend the day focusing on reviewing these topics.

1. Review of requested topics
2. Geometry, Trigonometry
3. FINAL

Course Description

Course Description

• Greetings
• Book of the week
• Background knowledge
• Group reading

• Greetings
• 5-minute silent activity in response to book
• Activity of the week correlating to the book
• Group discussion/recap

Course Schedule:

Week 1:

Porch Lies: Tales of Slicksters, Tricksters, and other Wily Characters by McKissack, Patricia

• Porch Lies: Tales of Slicksters, Tricksters, and Other Wily Characters is a 2006 book by Patricia McKissack. It is a collection of tales based on oral stories that McKissack heard from her grandfather and his friends when she was a child.
• Buy this book from Amazon

Week 2:

Good Masters! Sweet Ladies! Voices from a Medieval Village by Schlitz, Laura Amy

• Good Masters! Sweet Ladies! Voices from a Medieval Village is a 2007 children's book written by Laura Amy Schlitz. The book was awarded the 2008 Newbery Medal for excellence in children's literature.
• Buy this book from Amazon

Week 3:

Haroun and the Sea of Stories by Salman Rushdie

• Haroun and the Sea of Stories is a 1990 children's book by Salman Rushdie. It was Rushdie's fifth novel, following The Satanic Verses. It is a phantasmagorical story that begins in a city so old and ruinous that it has forgotten its name.
• Buy this book from Amazon

Week 4:

The Giver by Lois Lowry

• The Giver is a 1993 American young adult dystopian novel by Lois Lowry. It is set in a society which at first appears to be utopian but is revealed to be dystopian as the story progresses. The novel follows a 12-year-old boy named Jonas
• Buy this book from Amazon

Course Description

Course Schedule:

Week 1:

Day 1 (Thursday @ 3PM EST): Introduction

• Introduction to the course
• Basic Physics concepts / Scientific Approach

Day 2 (Saturday @ 3PM EST): Algebra 1

• Discovering expressions, equations and functions.
• Exploring real numbers.
• How to solve linear equations.
• Visualizing linear functions.
• Formulating linear equations.
• Systems of linear equations and inequalities.
• Exponents and exponential functions.

Week 2:

Day 3 (Thursday @ 3PM EST): Algebra 2

• Matrices
• Polynomials and Radical expressions
• Quadratic equations
• Functions
• Exponential
• Logarithmic expressions

Day 4 (Saturday @ 3PM EST): Geometry

• Points, lines, planes, angles, parallel lines, triangles
• Quadrilaterals
• Transformations

Week 3:

Day 5 (Thursday @ 3PM EST): Trigonometry

• (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc)

Day 6 (Saturday @ 3PM EST): Calculus

• Limits
• Derivatives
• Integrals

Week 4:

Day 7 (Thursday @ 3PM EST): Overarching Physical concepts

• Newton's Laws
• Force
• Energy
• Gravity
• Conservation of Momentum

Day 8 (Friday @ 5PM EST): Kinematics

• The 4 kinematics equations (The BIG 4)

Course Description

Course Schedule:

Week 1:

Day 1 (Monday @ 5PM EST): Introduction

• Syllabus
• Timed Assessment

Day 2 (Friday @ 5PM EST): Addition

• Left-right method
• Breaking down and chunking
• Using friendly numbers

Activities (30 min)

• Playing the Game “101 and Out” (assign numbers to students, they go in that order for adding numbers to the running total, with the goal to get to 101)
• Magic Squares
• Dice math games for teaching math in a fun way!
• Adder Ladders
• Give premade numbers
• See which team finishes first
• Quick quiz / questions / assign HW (15 min)

Week 2:

Day 3 (Monday @ 5PM EST): Subtraction

• Using addition to subtract
• Using the converse to subtract numbers closer to 10 or 100

Activities (20-25 min)

• Balancing a checkbook
• Adder Ladders (2-3 digits)
• Box Cars and One-Eyed Jacks Math Game: What's the Difference?
• Ending problem of the day (5-10 min)

Day 4 (Friday @ 5PM EST): Multiplication

• Adding zeros
• Breaking down number
• Rounding up to 10s and 100s
• Using hands for tables of 6, 7, 9
• Multiplication Math Tricks Are Fun And Easy To Learn.

Activities (20 min)

• Speed Wars Using hands for tables of 6, 7, 9 as a game!!
• Percent Math Games Online
• A Great Way To Learn About Percents
• Lattice multiplication ? Practicing Tipping
• Create menus/prices
• Ending problem of the day
• Assign Homework

Week 3:

Day 5 (Monday @ 5PM EST): Multiplication

• Squared numbers
• Triple digit methods
• Multiply by 11
• Checking our Multiplication

Activities:

• Math jeopardy
• Problem of the day! (5 min)

Day 6 (Friday @ 5PM EST): Division

• Rounding up to 10s, dividing by 10s
• Canceling zeros
• Using multiplication to divide

Activities:

• Division Board Game

Week 4:

Day 7 (Monday @ 5PM EST): Division

• Mental Long division
• Square roots
• Activities:
  Math jeopardy
  Division Board Game from last class

Day 8 (Friday @ 5PM EST): Review

• General review of all methods
• Pick your favorite games!
• Timed assessment (Post-test)
• Reflection

Course Description

This course is divided into sixteen sessions with biweekly classes over eight weeks. The curriculum has been designed to prepare students for the skills and concepts on the SAT Math section. In addition to reviewing the mathematical skills assessed on the SAT test (number and operations, algebra and function, geometry and measurement, data analysis, statistics, and probability), students will also learn test-taking strategies specific to the exam. Materials include samples with explanations, grading rubrics for peer and self-assessment, practice tests with complete multiple-choice and student-response assessments, and study resources. Upon successful completion, students will possess the tools necessary to complete the Math SAT to the best of their ability.

Day 1 (July 7): Introduction to Summer SAT Class

We will go over the format and scoring of the SAT math section and answer general questions about approaching the diagnostic test. After general Q&A, we will begin looking at concepts in basic arithmetic.

• Review of syllabus
• Introduction to class

SAT Math Overview

• Overview of SAT format and scoring
• Breakdown of math topics covered

Arithmetic and Basic Math

• Properties of numbers
• Factors, multiples
• Fractions
• Order of operations

DIAGNOSTIC TEST

Day 2 (July 11): Basic Math

We continue our exploration of math properties, covering how to simplify and perform operations on exponents, radicals, and other mathematical operations required on the SAT.

• Ratios, rates, percentages, proportions
• Exponents and radicals
• Simplifying exponential and radical expressions
• Scientific notation
• Systems of Linear Equations

Day 3 (July 14): Heart of Algebra I

We will go over the diagnostic test and answer any questions. We will also start our review of necessary Algebra I and II skills. Day 3 focuses on first degree algebraic expressions and linear equations.

• Heart of Algebra I
• Algebraic Expressions
• Linear Equations
  • Slope, y-intercept
  • Applications of linear equations
  • Parallel and perpendicular lines
• Systems of Linear Equations

Day 4 (July 18): Heart of Algebra II

We continue with our second day of review of Algebra. Day 4 focuses on functions and their properties.

1. Functions
2. Composite functions
3. Domain and range
4. Inverse functions

Day 5 (July 21): Heart of Algebra II

We will look at working with inequalities and absolute value functions and their graphs. We will also look at applications of absolute value inequalities and systems of inequalities.

1. Inequalities in 2D and 3D
2. Absolute Value
3. Tolerances
   1. Ranges of values
   2. Compound and absolute value inequalities
4. Graphs of absolute value and inequalities
5. Systems of inequalities

Day 6 (July 25): Advanced Math I

We begin looking at Advanced Math topics by exploring polynomials and operations of polynomials. We will focus on factoring, finding the roots of polynomials, and graphs of polynomials.

1. Polynomials
2. Operations with polynomials
3. Roots of polynomials
   1. Fundamental theorem of Algebra
4. Factoring polynomials
   1. Rational Root Theorem
5. Graphs of a polynomial

Day 7 (July 28): Quadratics

We will look closely at quadratics and the different forms in which quadratics can present. We will also look at different ways of solving quadratic equations and systems of quadratic and linear equations. A midterm exam will be assigned to assess progress.

1. Graphs of quadratics
2. Solving quadratics
   1. Completing the square
   2. Quadratic formula
   3. Graphing
   4. Square root
3. Systems of quadratic and linear equations

MIDTERM

Day 8 (August 1): Advanced Math II

We will continue to look at Advanced Math topics by looking at parent functions and transformations of functions. We will also look at solving advanced equations, including exponential and rational equations.

1. Parent functions
2. Transformations
3. Exponential equations
   1. Exponential growth/decay
   2. Compound interest
4. Rational equations
   1. Extraneous solutions

Day 9 (August 4): Statistics, graphs, and data interpretation/analysis

This lesson focuses on statistics/data analysis and interpreting and understanding graphs on the SAT. Questions on the midterm exam will be reviewed.

1. Graphical displays of continuous and discrete data
2. Data collection (sampling)
3. Measures of center and spread
4. Scatter plots and regression lines

Day 10 (August 8): Probability

This lesson focuses on topics in probability, permutations, and combinations.

1. Combinations and permutations
2. Conditional probability
3. Mutually exclusive and independent events
4. Set notation

Day 11 (August 11): Complex/Imaginary Numbers

We will look at working with complex numbers and revisit imaginary roots of polynomials. We will also go over graphing calculator tips and tricks to prepare students to use their calculators effectively on test day.

1. Conjugate roots
2. Radicals with complex numbers
3. Operations with imaginary numbers

Day 12 (August 15): Using Your Graphing Calculator

We will begin our final unit on Geometry by looking at lines and angles and area, perimeter, and volume.

1. Plotting graphs and selecting window
2. Finding intersections and zeroes
3. Storing values
4. Finding regression lines and inputting scatter plot data

Day 13 (August 18): Introduction to Geometry

We continue our Geometry exploration by looking at triangles and the triangle equations and properties students will need to be familiar with for the SAT.

1. Closer look at formula sheet
2. Area, perimeter, volume
3. Lines, segments, rays
4. Angle theorems

Day 14 (August 22): Triangles

We will look at polygons and their properties.

1. Right triangles
   1. Pythagorean theorem
2. Special triangles
3. Similar and congruent triangles

Day 15 (August 25): Polygons

On our final lecture day, we will look at circles and arcs, sectors, and chords.

1. Parallelograms
2. Rectangles, squares, trapezoids
3. Regular polygons

FINAL

Day 16 (August 28): Final Review

We will go over any questions on the final exam. Prior to this class, requested topics will be polled and we will spend the day focusing on reviewing these topics.

1. Review of requested topics
   *NOTE CHANGE IN REGULAR SCHEDULE,
   class will be Friday 6-7:30pm

Course Description

Course Description

Course Description