GENERAL K-7 NUMERACY AND INTERVENTION LEVELS
Each level below is designed to sequentially follow on from the level preceding it. Our 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 is by taking the online placement test or requesting the downloadable assessment for more accurate diagnosis here.
Below you'll find a detailed description of each level.
Red - Foundations
LEVEL FOCUS:
A Fun Introduction to Maths
Here students learn to write numerals and are introduced to counting, place value, addition, subtraction, skip counting, geometric shapes, telling time, and the use of integer blocks. Fun is the focus as we introduce maths.
Topics Covered:
- Counting objects and units
- Recognizing number names and symbols
- Writing numerals 0 - 9
- Recognizing & drawing rectangles, circles and squares
- Understanding place value (HTU)
- Integer Blocks
- Simple addition with concrete and representational models
- Counting To Twenty
- Simple addition using symbols + , – , =
- Skip counting by 2, 10, 5
- Tally Marks
- Making Ten
- Building, writing and telling time (hours and minutes)
- Solving For An Unknown
- Simple subtraction using symbols - 0, - 1
Overview and Sample Lesson:
Teacher & Student Video
Green - Level One
LEVEL FOCUS:
Mastering Place Value, Single Digit Addition & Subtraction
This level focuses on progressing from counting to place value, single digit addition, single digit subtraction and time. We use systematic, structured and explicit teaching strategies to help students commit addition and subtraction facts to memory through understanding.
Topics Covered:
- Understanding place value repeating pattern (HTU)
- Counting to 20, 100 and beyond
- Skip count to find area
- Skip count by 2, 5, 10
- Geometric shapes - circles, triangles, rectangles, squares
- Addition of 10s, 100s
- Addition of all single-digit numbers
- Solving for an unknown to introduce subtraction
- Subtraction of all single-digit numbers
- Telling time to hours and minutes in digital and analog form
- Integration with confidence in word problems
- & more.
Overview and Sample Lesson:
Teacher & Student Video
Orange - Level Two
LEVEL FOCUS:
Multiple Digit Addition & Subtraction
This level builds on the foundations by applying students’ mastery of single digit addition and subtraction to multiple digit addition and subtraction, and its applications for everyday life.
Topics Covered:
- Sequencing, ordering numbers
- Inequalities, comparing numbers
- Estimation
- Rounding to 10s, 100s, 1000s
- Place Value Notation
- Multiple digit addition and subtraction
- Understanding money, decimal points, dollars
- Adding, subtracting money
- Tally Marks
- Ordinal Numbers
- Measuring and estimating length – centimetres, metres (inches, feet)
- Representing data in bar graphs, line graphs
- Reading gauges and thermometers
- Measurement - linear measure, perimeter, area
- Application and mastery of real-world problems
- & more.
Overview and Sample Lesson:
Teacher Video
Student Video
Pink - Level Three
LEVEL FOCUS:
Single & Multiple Digit Multiplication
In this level the student progresses to fast addition (multiplication) as an even more efficient tool for communicating than addition. They continue with the same Integer blocks to understand multiplication through the simple rectangular model. They master multiplication through finding area, factors, dimensions and more.
Topics Covered:
- Building rectangles to identify factors and products
- Skip counting as a precursor to single digit multiplication
- Mastering all single digit multiplication facts (times tables)
- Fluently multiplying any combination of whole numbers
- Solving for an unknown factor
- Solving abstract and real-world problems involving addition, subtraction, and multiplication
- Understanding properties of prime and composite numbers
- Multiplying, adding, and subtracting Australian currency
- Standard metric units of measure
- Place Value through to millions
- & more.
Overview and Sample Lesson:
Teacher Video
Student Video
Yellow - Level Four
LEVEL FOCUS:
Single & Multiple Digit Division
This level transitions the student from multiplication to division in the simplest and most efficient way possible. Through building more rectangles and continuing in a structured, sequential and mastery-based manner, students develop fluency in division and problem-solving across all operations. Fractions are introduced, measurement is mastered while they explore shapes, angles, area, and volume.
Topics Covered:
- Bridging from multiplication to division through solving for an unknown
- Mastering division of all single numbers
- Fluently dividing any combination of whole numbers
- Interpreting remainders in short and long division
- Adding, subtracting, multiplying, dividing whole numbers
- Converting Australian currency & metric units of measure
- Introduction to geometry including angles points, segments, rays, and lines
- Classifying shapes based on defining attributes
- Understanding and computing area and volume
- Fraction notation as a progression from division
- & more.
Overview and Sample Lesson:
Teacher & Student Video
Blue - Level Five
LEVEL FOCUS:
Fractions, Mixed Numbers & Solving For Unknowns
This level transitions the student from whole numbers to fractions. With our Advanced Kit For Teaching Fractions, Decimals & Percents, consistency of colour and representation enable the student to seamlessly move from whole numbers into fractions, mixed numbers and their operations.
Topics Covered:
- Understanding the three parts of every fraction
- Recognising and generating equivalent fractions
- Adding and subtracting ‘like’ and ‘unlike’ fractions
- Developing confidence through accuracy of instruction and a congruent CRA approach to fractions
- Adding, subtracting, multiplying, dividing all proper fractions, improper fractions and mixed numbers
- Comparing fractions
- Interpreting and solving word problems using fractions
- Solving for the unknown with reciprocals, multiplicative and additive inverses
- Converting fractions to decimals and percents
- Finding the area and circumference of circles
- Representing fractional measurements on line plots and number lines
- & more.
Overview and Sample Lesson:
Teacher & Student Video
Purple - Level Six
LEVEL FOCUS:
Decimals, Percents & Conversions
This level extends the students' understanding to the life application of decimals and percents. With the confidence and accuracy gained through this multi-sensory approach to mastery, the student is well equipped for further studies and solving real world problems.
Topics Covered:
- Mastering indices and exponents as the next progression and fast multiplication
- Expanded and exponential notation
- Metric measure and conversions through understanding our base ten decimal system and prefixes
- Fluently adding, subtracting, multiplying, and dividing multiple digit decimals
- Dividing decimals by whole numbers, and whole numbers by decimals
- Converting between fractions, decimals and percents
- Calculating percents, pie graphs and representing data
- Solving real-world problems with decimals and percentages
- Using properties of operations to simplify and evaluate algebraic expressions
- Introducing plane geometry & geometric symbols
- Probability, mode, median and mean
- Using ratio reasoning to solve problems
- & more.
Overview and Sample Lesson:
Teacher & Student Video
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.