### MATH-U-SEE LEVELS

Each of the Math-U-See levels is designed to sequentially follow on from the level preceding it. The Math-U-See program is not based on what age or grade a student is in at school, but rather their individual current level of mastery in each concept area.

The best way to determine what level your student/s should start in with Math-U-See is by taking our placement tests.

Below you'll find a detailed description of what you get in each level of Math-U-See.

# THE FOUNDATIONAL MATH-U-SEE LEVELS

##### ( Preschool to Grade 8 and Intervention )

**Delta**

Short & long Division, Solving problems with all four operations

**Zeta**

Decimals, Percents and Conversions

# THE ADVANCED MATH-U-SEE LEVELS

##### ( Grade 8 to University Level )

**Geometry**

Addition and Subtraction for Multi-Digit Numbers

**Algebra 2**

Multiplication for Single and Multi-Digit Numbers

**Pre-Calculus**

Order of Operations, Solving for the Unknown & more

**Calculus**

Fractions, Factors, Mixed Numbers & more

### Primer

#### THE PRIMER LEVEL FOCUS:

A Fun Introduction to Maths

In Primer, students learn to write numerals and are introduced to addition, subtraction, counting, skip counting, geometric shapes, telling time, and the use of integer blocks.

##### Major Concepts and Skills:

- Counting objects and developing numeracy
- Understanding place value
- Recognizing number names and symbols
- Reading and writing numerals
- Understanding addition and subtraction with concrete and representational models
- Understanding and writing the symbols +, â€“ and =
- Addition and subtraction of select numbers

- Telling and writing time by hours and minutes
- Recognizing & drawing rectangles, squares, and circles
- Measuring length by repeating units
- Introducing halves and quarters
- Counting by 2s, 5s, 10s, and 100s
- Reading, writing & interpreting word problems

##### Overview and Sample Lesson:

### Alpha

#### THE ALPHA LEVEL FOCUS:

Single Digit Addition and Subtraction

The Alpha level focuses on teaching the concepts of single digit addition and subtraction. We use systematic teaching strategies to help students commit the addition and subtraction facts to memory.

##### Major Concepts and Skills:

- Understanding place value
- Extending counting sequence
- Fluently adding & subtracting all single-digit numbers
- Solving for unknown addend
- Understanding the relationship between addition and subtraction
- Also covered: time, geometric shapes, measuring length, halves and fourths, counting by 2s, 5s, 10s, 100s, word problems and moreâ€¦

##### Overview and Alpha Level Sample Lesson:

### Beta

#### THE BETA LEVEL FOCUS:

Multiple Digit Addition and Subtraction

Beta builds on the foundation in Alpha by applying studentsâ€™ mastery of single-digit addition and subtraction to multiple-digit addition and subtraction.

##### Major Concepts and Skills:

- Understanding, adding, & subtracting Australian currency
- Measuring, estimating length â€“ centimetres & metres (optional inches, feet)
- Comparing numbers and lengths
- Expressing differences inequalities
- Finding the perimeter of a polygon
- Representing and interpreting data in plots and graphs
- Solve abstract and real-world problems involving addition & subtraction
- Also covered: time, measurement, comparing numbers and lengths, inequalities, perimeter, and representing and interpreting data in plots and graphs

##### Overview and Sample Lesson:

### Gamma

#### THE GAMMA LEVEL FOCUS:

Multiplication for single and multiple-digit numbers and other topics.

##### Major Concepts and Skills:

- Using strategies based on place value and properties of operations to multiply
- Fluently multiplying any combination of whole numbers
- Solving for an unknown factor
- Solving abstract and real-world problems involving addition, subtraction, and multiplication
- Measuring and computing areas
- Relating concepts of area to addition and multiplication

- Skip counting as a precursor to multiplication
- Adding and subtracting time in hours and minutes
- Multiplying, adding, and subtracting Australian currency & standard units of measure
- Representing, recording, and interpreting data
- Understanding of basic fractions

& more â€¦

##### Overview and Sample Lesson:

### Delta

#### THE DELTA LEVEL FOCUS:

Division, order of operations, solving for the unknown and more

##### Major Concepts and Skills:

- Using strategies based on place value and properties of operations to divide
- Understanding division as solving for an unknown factor
- Fluently dividing any combination of whole numbers
- Solving abstract and real-world problems involving all four operations
- Interpreting remainders in short and long division
- Understanding fraction notation in light of division

- Dividing, multiplying, adding, and subtracting
- Australian currency & standard units of measure
- Understanding angle measure and geometric shapes including points, segments, rays, and lines
- Classifying shapes based on defining attributes
- Understanding and computing area and volume

& more â€¦

##### Overview and Sample Lesson:

### Epsilon

#### THE EPSILON LEVEL FOCUS:

Fractions, Factors, Mixed Numbers and more

##### Major Concepts and Skills:

- Recognizing and generating equivalent fractions
- Understanding addition, subtraction, multiplication, and division of fractions and mixed numbers
- Fluently adding, subtracting, multiplying, and dividing fractions and mixed numbers
- Using multiple strategies to recognize common factors
- Understanding grouping symbols and their effect on order of operations

- Interpreting and solving word problems
- Comparing, and converting decimal fractions
- Finding the area and circumference of circles
- Classifying quadrilaterals
- Representing fractions and fractional measurements on line plots and number lines
- Using coordinates to represent ordered relationships

& more â€¦

##### Overview and Sample Lesson:

### Zeta

#### THE ZETA LEVEL FOCUS:

Decimals, Percents and Conversions

##### Major Concepts and Skills:

- Expanding understanding of place value from positive powers of ten to include decimals
- Fluently adding, subtracting, multiplying, and dividing multiple digit decimals using place-value strategies
- Solving real-world problems with decimals and percentages
- Understanding the metric system and converting from one unit of measure to another
- Understanding and simplifying exponents

- Understanding negative numbers and representing them on the coordinate plane
- Using properties of operations to simplify and evaluate algebraic expressions
- Interpreting and graphing relationships between dependent and independent variables
- Understanding of plane geometry & geometric symbols
- Using ratio reasoning to solve problems

& more â€¦.

##### Overview and Sample Lesson:

### Pre-Algebra

#### THE PRE-ALGEBRA LEVEL FOCUS:

Negative numbers, order of operations, solving for the unknown, and other topics.

##### Major Concepts and Skills:

- Negative Numbers: Addition
- Negative Numbers: Subtraction
- Negative Numbers: Multiplication
- Negative Numbers: Division
- Whole Numbers
- Integers

- Number Line
- Exponents
- Place Value
- Expanded and Exponential Notation & moreâ€¦

##### Overview and Sample Lesson:

### Algebra 1

#### THE ALGEBRA 1 LEVEL FOCUS:

Graphing, simultaneous equations, exponents, polynomials, unit multipliers and other topics.

##### Major Concepts and Skills:

- Commutative and Associative Properties
- Order of Operations
- Solving for an Unknown with One Variable
- Distributive Property
- Cartesian Coordinates
- Graphing a Line
- Slope-Intercept Formula

- Graphing Parallel Lines and the Equation of a Line
- Graphing Perpendicular Lines
- Finding the Slope-Intercept Formula with Different Givens
- & more...

##### Overview and Sample Lesson:

### Geometry

#### THE GEOMETRY LEVEL FOCUS:

Points, lines, planes, angles, circles, triangles, quadrilaterals, Pythagorean Theorem, conic sections, proofs.

##### Major Concepts and Skills:

- Points, Lines, Rays and Line Segments
- Planes and Sets
- Angles
- Types of Angles
- Parallel and Perpendicular Lines with Midpoints and Bisectors
- Supplementary and Complementary Angles
- Transversals with Interior and Exterior Angles

- Perimeter of a Rectangle, Triangle, Parallelogram, and Trapezoid
- Area of a Rectangle, Triangle, Parallelogram, and Trapezoid
- Constructing and Identifying Triangles
- & more â€¦

##### Overview and Sample Lesson:

### Algebra 2

#### THE ALGEBRA 2 LEVEL FOCUS:

Factoring polynomials, quadratic formula, graphing conic sectionsï»¿.

##### Major Concepts and Skills:

- Exponents
- Rational Expressions
- Scientific Notation
- Combining Like Terms
- Radicals: Basic Operations and Simplifying
- Factoring Polynomials
- Fractional Exponents

- Solving Equations with Rational Expressions
- Imaginary and Complex Numbers
- Conjugate Numbers
- & more â€¦

##### Overview and Sample Lesson:

### Pre Calculus

#### THE PRE CALCULUS LEVEL FOCUS:

Trigonometry, identities, polar equations, logarithms, sequences, limits and other topics to prepare for calculus

##### Major Concepts and Skills:

- Pythagorean Theorem
- Special Right Triangles (30Â°- 60Â°- 90Â° and 45Â°- 45Â°- 90Â°)
- Trigonometric Ratios
- Inverse Trigonometric Ratios
- Interpreting the Trigonometry Tables
- Using the Trig. Table to Solve for the Unknown
- Using a Calculator and Arc Functions

- Angles of Elevation and Depression
- Angles less than 0Â°
- Angles greater than 360Â°
- & more â€¦

##### Overview and Sample Lesson:

### Calculus

** The Calculus level is not currently offered online with Maths Australia. Order directly on our shop page to have your materials shipped to you.*

#### THE CALCULUS LEVEL FOCUS:

Derivatives, integrals, calculus applications, differential equations, and other topics

##### Major Concepts and Skills:

- Terminology and Graphing
- Quadratic Equations
- Review of Conic Sections
- Review of Systems of Equations
- Functions
- Review of Trigonometry
- Review of Exponents and Logarithms

- Limits
- Continuity in Limits
- Definition of a Derivative
- & more â€¦

##### Additional Concepts and Skills:

- Understanding limits and continuity
- Working with derivatives and derivative rules
- Using Implicit Differentiation
- Applying Lâ€™HÃ´pitalâ€™s Rule
- Working with definite and indefinite integrals
- Working with exponential and logarithmic functions and their derivatives

- Applying the Chain Rule and the Mean Value Theorem
- Optimizing with calculus
- Understanding antiderivatives
- Working with integration formulas
- Solving differential equations
- Applying calculus to physics and economics

##### Overview and Sample Lesson:

### Want to know which level your child is up to with their maths?

Take our free online placement tests to work out what you need to focus on and help them learn.