# How it works

## Feedback with every mistake

There are no dead ends with bettermarks. Right from the start, every learning type can find an exercise to fit. Start off with guided exercises, then work step by step through series and topics that get progressively more difficult. The student is never simply left alone – diverse forms of help are just a click away, before, during and after any particular question. If the student still has problems in an area, bettermarks automatically recommends exercises to close the knowledge gaps it identifies. This gives every student the opportunity to learn at their own pace.

## Built for teachers

Our goal is to facilitate the learning and teaching of mathematics. To reach this goal, bettermarks employs teachers, mathematicians, academic educationalists and software specialists to work together. Our adaptive math books guide students through exercises step by step with constructive feedback. As a teacher, you receive comprehensive reports on all your students‘ activity. ### Teach

Introduce the topic in the lesson as you usually would.

### Assign

Give bettermarks exercises to your students.

### Work

The students work through the exercises.

### Evaluate

Get the results with the click of a button.

Repeat material or move on.

# Topics for grades 4 to 10

Fractions
• Basics of Fractions
• Preparation for Calculating with Fractions
• Addition and Subtraction of Fractions
• Multiplication and Division of Fractions
• Rules of Operation: Fractions
Data and Probability
• Collecting, Representing and Analysing Data
• Probability – Basics
• Descriptive Statistics
Decimal numbers
• Decimal Numbers – Basics
• Decimal Numbers – Further
• Addition and Subtraction of Decimal Numbers
• Multiplication and Division of Decimal Numbers
• Mensuration
• Written Addition and Subtraction of Decimal Numbers
• Long Multiplication and Division of Decimal Numbers
• Application of Decimal Numbers
Functions and their Representations
• Functions – Basics
• Linear Functions
• Rational Functions
• Linear and Exponential Growth
• Exponential Functions
• Logarithms
• Power Functions
Geometry
• Maps, Scale, Symmetry, Key Terms on Geometry
• Angles, Basic Constructions and Symmetry
• Triangles
• Rectangles, Squares and Composite Shapes
• Cuboids, Cubes and Composite Solids
• Circles
• Prisms and Cylinders
• Pyramids, Cones, Composite and Hollow Solids
• Spheres
• Enlargement and Reduction, Similarity
• Intercept Theorems
• Pythagoras‘ Theorem
Decimal numbers
• Converting, Comparing, Ordering and Calculating Currency
• Converting, Comparing, Ordering and Calculating Length
• Converting, Comparing, Ordering and Calculating Weight
• Converting, Comparing, Ordering and Calculating Time
• Word Problems on Currency, Length, Weight and Time
Linear Equations and Inequalities
• Setting up, Solving and Applying Linear Equations
• Identifying, Solving and Applying Inequalities
• Introduction to Systems of Linear Equations
Natural Numbers
• Introduction to Natural Numbers and Calculations
• Representing Numbers up to 10 000
• Comparing and Arranging Numbers up to 10 000
• Addition and Subtraction up to 10 000
• Representing Numbers up to 1 000 000
• Comparing, Arranging and Rounding Numbers up to 1 000 000
• Addition and Subtraction up to 1 000 000
• Mental Multiplication and Division of Large Numbers
• Large Numbers, Rounding and Estimation
• Adding and Subtracting Natural Numbers
• Multiplying and Dividing Natural Numbers
• Order of Operations
• Written Methods of Addition, Subtraction, Multiplication and Division
• Square Numbers and Powers
Divisibility and Prime Numbers
• Divisibility Rules
• Prime Numbers and Prime Factorisation
• Sets of Factors and Multiples, HCF, LCM, Brain-Teasers
Trigonometry
• Calculations on Right-Angled Triangles
• Calculations on General Triangles
• Trigonometric functions and their graphs
Expressions and Powers
• Setting up and Evaluating Algebraic Expressions and Using Tables of Values
• Calculating with Terms and Simplifying Expressions
• Calculating with Terms and Powers
• Powers with Natural Exponents
• Powers with Integer Exponents
• Powers with Rational Exponents
Proportion, Percentages and Interest
• Direct Proportion and Inverse Proportion
• Percentages and Interest Using the Rule of Three and Formulas bettermarks is an adaptive learning system for maths covering grades 4 to 10 (age 10 to 16).