 ### 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 your student is at school, but rather their individual current level of mastery in each maths concept.

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

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

# THE FOUNDATIONAL MATH-U-SEE LEVELS

#### Primer

A Fun Introduction to Maths

#### Alpha

Mastering Single Digit Addition and Subtraction

#### Beta

Addition and Subtraction for Multi-Digit Numbers

#### Gamma

Multiplication for Single and Multi-Digit Numbers

#### Delta

Short & long Division, Solving problems with all four operations

#### Epsilon

Fractions, Factors, Mixed Numbers & more

#### Zeta

Decimals, Percents and Conversions

#### Pre-Algebra

Order of Operations, Solving for the Unknown & more

#### Algebra 1

Graphing, Exponents, Unit Multipliers & more

#### 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
• Understanding addition and subtraction with concrete and representational models
• Understanding and writing the symbols +, – 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
##### Materials required: Integer Block Kit Primer Instruction Pack Primer Student Text Skip Count Songs
& Booklet

### 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
• 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 more…
##### Materials required: Integer Block Kit Alpha Instruction Pack Alpha Student Kit Skip Count Songs
& Booklet

### Beta #### THE BETA LEVEL FOCUS: Multiple Digit Addition and Subtraction

Beta builds on the foundation in Alpha by applying students’ 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 – 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
##### Materials required: Integer Block Kit Beta Instruction Pack Beta Student Kit Skip Count Songs
& Booklet

### 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 …
##### Materials required: Integer Block Kit Gamma Instruction Pack Gamma Student Kit Skip Count Songs
& Booklet

### 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 …
##### Materials required: Integer Block Kit Delta Instruction Pack Delta Student Kit Skip Count Songs
& Booklet

### 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
• Representing fractions and fractional measurements on line plots and number lines
• Using coordinates to represent ordered relationships
& more …

##### Materials required: CRA Maths Multi-Sensory Advanced Kit - Fractions, decimals, percents & algebra Epsilon Instruction Pack Epsilon Student Kit

### 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 ….
##### Materials required: CRA Maths Multi-Sensory Advanced Kit - Fractions, decimals, percents & algebra Zeta Instruction Pack Zeta Student Kit

### 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: Subtraction
• Negative Numbers: Multiplication
• Negative Numbers: Division
• Whole Numbers
• Integers
• Number Line
• Exponents
• Place Value
• Expanded and Exponential Notation & more…
##### Materials required: CRA Maths Multi-Sensory Advanced Kit - Fractions, decimals, percents & algebra PreAlgebra Instruction Pack PreAlgebra Student Kit with Honors

### 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...
##### Materials required: CRA Maths Multi-Sensory Advanced Kit - Fractions, decimals, percents & algebra Algebra 1 Instruction Pack Algebra 1 Student Kit with Honors

### 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 …
##### Materials required: Geometry Instruction Pack Geometry Student Kit with Honors

### Algebra 2 #### THE ALGEBRA 2 LEVEL FOCUS: Factoring polynomials, quadratic formula, graphing conic sections﻿.

##### 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 …
##### Materials required: Algebra 2 Instruction Pack Algebra 2 Student Kit with Honors

### 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 (30°- 60°- 90° and 45°- 45°- 90°)
• 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 0°
• Angles greater than 360°
• & more …
##### Materials required: Pre Calculus Instruction Pack Pre Calculus Student Kit with Honors

### Calculus

* The Calculus level is based on American imperial system and measurements #### THE CALCULUS LEVEL FOCUS:Derivatives, integrals, calculus applications, differential equations, and other topics

##### Major Concepts and Skills:
• Terminology and Graphing
• 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 …
• Understanding limits and continuity
• Working with derivatives and derivative rules
• Using Implicit Differentiation
• Applying L’Hôpital’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
##### Materials required: Calculus Instruction Pack Calculus Student Kit

### 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.

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