# Scope and Sequence from *Math-U-See* by Steve Demme

**Introduction To Mathematics** - Preschool & Kindergarten

TOPICS INCLUDE:

- Counting & Writing Numbers 0-9
- Place Value
- Geometric Shapes
- Counting to 100
- Beginning Addition
- Skip Counting by 2s, 5s, & 10s
- Money and Time

The Teacher Manual has instructions, examples, and suggestions for word problems. The Student Text has 5 worksheets for each of the 30 lessons. The Instruction Video is 1 hour and follows a lesson by lesson format.

**What you will need:**

- Introduction Video
- Introduction Teacher Manual
- Introduction Student Text
- Standard Manipulatives

**Optional:**

- Supplementary Manipulatives
- Skip Count Tape & Book
- Extra Practice Sheets

* If you have already purchased these for the previous curriculum you do not need to do so again.**Foundations of Mathematics** - First, Second, & Third Grades

**PREREQUISITE:** The student should be able to count to nine, write his numbers comfortably, and demonstrate a readiness for formal instruction.

**TOPICS INCLUDE:**

- Place Value
- Read and Write Numbers to 999
- Addition Facts
- Solve for unknown by Adding
- Regrouping or Carrying
- Column Addition
- Subtraction
- Regrouping or Borrowing
- Skip Counting from the 2s to the 10s
- Solving for an Unknown by Multiplying
- Ordinal Numbers, Days in a Month
- Money
- Telling Time
- Reading Gauges and Thermometers
- Multiplication Facts 1-10
- Area of a Rectangle and Perimeter
- Inequalities
- Liquid Measurement - pint, quart, gallon
- Linear Measurement - inch, foot, yard
- Weight - ounce, pound
- Geometric Shapes
- ... and More!

The Teacher Manual has instructions, examples, practice problems, answer keys to the student text, extra word problems, and tests with answer keys. The Student Text is 38 lessons and has four worksheets for each lesson. The Instruction Video is 2 1/2 hours and follows a lesson by lesson format.

**What you will need:**

- Foundations Instruction Video
- Foundations Teacher Manual
- Foundations Student Text
- *Standard Manipulatives

**Optional:**

- *Supplementary Blocks
- *Skip Count Tape & Book
- Extra Practice Sheets

* If you have already purchased these for the previous curriculum you do not need to do so again.**Intermediate Mathematics** - Fourth, Fifth, & Sixth Grades

**PREREQUISITE:** The student should have completed the Foundations Curriculum or have mastered all aspects of addition and subtraction, multiplication facts, and the underlying concepts.

**TOPICS INCLUDE:**

- Review of Skip Counting
- Review of Multiplication Facts
- Reading & Writing Numbers to one Million
- Expanded Notation
- Multiple Digit Multiplication
- Single and Multiple Digit Division
- Comparing Fractions
- Adding & Subtracting Fractions
- Multiplying & Dividing Fractions
- Fraction of a Number
- Mixed Numbers and Improper Fractions
- Fractions to Decimals, to Percents
- Rounding & Estimating
- Finding Average & Factors
- Prime and Composite Numbers
- Area of a Rectangle & Perimeter
- Linear Measure 1/4 and 1/2
- Roman Numerals & Tally Marks
- Solving Equations: 2x + 3 = 11
- Probability, Graphing, & Map Reading
- ... and More!

The Teacher Manual has instructions, examples, practice problems, answer keys, word problems, and tests. The Student Book has four worksheets for each of the 39 lessons plus 6 review lessons. The 3 hour Instruction Video is on 2 tapes and follows a lesson by lesson format.

**What you will need:**

- Intermediate Instruction Video
- Intermediate Teacher Manual
- Intermediate Student Text
- Fraction Overlays
- *Standard Manipulatives

**Optional:**

- *Supplementary Blocks
- *Skip Count Tape & Book
- Extra Practice Sheets

* If you have already purchased these for the previous curriculum you do not need to do so again.**Advanced Mathematics** - Seventh & Eighth Grade

**PREREQUISITE:** The student should have completed the Intermediate Curriculum or have mastered all the basic operations with whole numbers and fractions.

**TOPICS INCLUDE:**

- Reduce Fractions
- Add & Subtract Decimals
- Multiply & Divide Decimals
- Changing Fractions and Decimals to Percents
- Mixed Numbers Adding & Subtracting
- Mixed Numbers Multiplying and Dividing
- Adding Three or More Fractions
- Multiplying Three or More Fractions
- Adding & Subtracting Polynomials
- Multiplying & Factoring Polynomials
- Surface Area and Volume of Solids
- Area & Circumference of Circles
- Metric Prefixes & Conversions
- Celsius to Fahrenheit
- Ratio & Proportion
- Parallel & Perpendicular
- Square & Square Roots
- Pythagorean Theorem
- Linear Measure - 1/8, 1/16, and 1/10
- Positive and Negative Numbers
- Probability

... and More! The Teacher Manual has instructions, examples, practice problems, solution pages, word problems, and tests. The Student Text has four worksheets for each lesson. There are 40 lessons. The 4 hour Instruction Video is on 2 tapes and follows a lesson by lesson format.

**What you will need:**

- Advanced Instruction Videos
- Advanced Teacher Manual
- Advanced Student Text
- Algebra & Decimal Inserts
- *Standard Manipulatives
- *Fraction Overlays

**Optional:**

- Extra Practice Sheets

* If you have already purchased these for the previous curriculum you do not need to do so again.**Basic Algebra & Geometry** - Ninth & Tenth Grades

**PREREQUISITE:** The student should have completed the Advanced Curriculum or a comparable pre-algebra course with geometry.

**TOPICS INCLUDE:**

- Solving for Unknown with GCF & LCM
- Order of Operations
- Graphing Lines and Inequalities
- Equation of a Line
- Slope Intercept Formula
- Solving Simultaneous Equations
- Trinomial Factoring & Repeated Factoring
- Multiply & Divide Polynomials
- Fractional Exponents
- Difference of Two Squares
- Pythagorean Theorem and Radicals
- Area, Perimeter, & Volume of Polygons
- Supplementary & Complementary Angles
- Midpoints, Bisectors, & Transversals
- Parallel & Perpendicular Lines
- Points, Lines, Rays, & Planes
- Square & Cube Roots and Radicals
- Construct Angles & Triangles
- Types of Triangles
- Prove Triangles Congruent

... and More!

The Teacher Manual has instructions, examples, tests, and solution pages w/answer keys. The Student Text has four worksheets for each of the 40 lessons. The 7 hour Instruction Video is on 3 tapes and follows a lesson by lesson format.

**What you will need:**

- Basic Algebra and Geometry Instruction Videos
- Basic Algebra and Geometry Teacher Manual
- Basic Algebra and Geometry Student Text
- Algebra and Decimal Inserts
- *Standard Manipulatives
- *Fraction Overlays

**Optional:**

- Extra Practice Sheets

* If you have already purchased these for the previous curriculum you do not need to do so again.**Algebra 2** - Eleventh Grade

**PREREQUISITE:** The student should have completed the Basic Algebra and Geometry Curriculum or comparable Algebra I and Geometry courses.

**TOPICS INCLUDE:**

- Exponents
- Rational Expressions
- Scientific Notation
- Radicals
- Imaginary & Complex Numbers
- Conjugate Numbers
- Cubes & Pascal's Triangle
- Binomial Theorem
- Completing the Square
- Quadratic Formula
- Discriminants
- Ratios and Chemical Compounds
- Isolating Variables
- Unit Multipliers
- Motion Problems
- Graphing Lines
- Distance Formula (Absolute Value) & Midpoint Formula
- Conic Sections: Circle, Ellipse
- Conic Sections: Hyperbola and Inverse Variation vs Line and
- Direct Variation
- Problems Solving of Conic Sections with Linear Equations
- Coins and Consecutive Intergers, Chemical Mixtures
- Age & Boat in the Current Problems
- Solving Equations with three variables
- Matrices and Determinants for 2 variables

... and More!

The Teacher Manual has instructions, examples, practice problems, solution pages, and tests. The Student Text has four worksheets for each of the 31 lessons. The 5 1/2 hour Instruction Video is on 2 tapes and follows a lesson by lesson format.

**What you will need:**

- Algebra 2 Instruction Video
- Algebra 2 Teacher Manual
- Algebra 2 Student Text

**Optional:**

- Extra Practice Sheets

**Trigonometry** - Twelfth Grade

**PREREQUISITE:** The student should have completed Algebra 1, Algebra 2, and Geometry.

**TOPICS INCLUDE:**

- Trigonometric ratios
- Inverse trigonometric ratios
- Interpreting the trig. tables
- Solving for the unknown using trig.
- Using a calculator and arc functions
- Angles of elevation and depression
- Angles <0�, >360�, and reference angles
- Cofunctions and negative angle relationships
- Proving trig. expressions and identities
- Verifying trig. expressions and identities
- Sum and difference identities for cosine, sine, and tangent
- The double-angle and half-angle identities
- Law of sines
- Law of cosines
- Ambiguity in the law of sines
- Radain measure
- Polar coordinates and rectangular coordinates
- Polar equations and polar graphs
- Vectors
- Functions, relations, domain, and range
- Graphing sine and cosine functions
- Graphing secant and cosecant functions
- Graphing tangent and cotangent functions
- Logarithms
- Arithmetic sequences and series
- Geometric sequences and series

... and More!

The Instruction Set has 2 books. The Teacher Manual with instructions, examples, and practice problems. The Solution Text has the solutions to the Student Text and tests. The Student Text has four worksheets for each of the 26 lessons plus 2 review lessons. The 4 hour Instruction Video is on 2 tapes and follows a lesson by lesson format.

Excerpted from the Math-U-See Website

2001, Math-U-See Foundation, Used with permission.