iRainbow’s smart software is designed to give your 7th grader a boost in maths.

Our program is uniquely tailored to the South African CAPS curriculum and is perfect for offline learning. It turns maths into an exciting journey where your child will delve into numbers, operations & relationships, patterns, functions & algebra, data handling, accounting, space & shape, and measurement. With iRainbow, your child’s learning adventure is filled with fun and confidence-building experiences, laying a solid foundation for future success in complex mathematical skills required in numerous careers.

### What Parents Say

Syllabus

### Grade 7 Maths Curriculum

### Numbers, Operations & Relationships

#### Numbers: Important Basics You Should Know

- Prime and Composite numbers
- Factorisation with Prime numbers
- Multiplication skills
- Division skills
- Highest common factor
- Lowest common factor
- Word problems
- Scientific notation
- Number classification

#### Integers (From Negative to Zero to Positive)

- The basics
- Number lines
- Horizontal and Vertical Number Lines
- Absolute values and opposites
- Arrange and comparisons
- Inequalities

#### Working with Integers

- Rules to add and subtract
- Using counters
- Add and subtract
- Complete the equations
- Word problems
- Rules to multiply and divide
- Multiply and divide
- Multiply and divide -equations
- Expressions with integers

#### Decimal Numbers

- Decimal numbers
- Comparisons with decimals
- Number lines with decimals
- Rounding skills
- Add and subtract
- Add and subtract word problems
- Multiply using decimals
- Whole and decimals word problems
- Division with decimals
- Word problems with division
- Mixing it up
- Inequalities
- Distances as decimals
- Expressions to solve

#### Fractions – the basics

- Problems to solve
- Equivalent fractions
- Fractions in lowest terms
- Using graphs and tables
- Lowest common denominator (LCD)
- Compare, order and arrange
- Word problems
- Mixed and improper conversions
- Compare fractions
- Rounding of mixed numbers

#### Working with Fractions

- Add and subtract
- Word problems with add and subtract
- Mixed numbers: Add and subtract
- Mixed numbers: Word problems
- Inequalities: Solve the problems
- Estimate fractions
- Multiply whole numbers and fractions
- Multiplication problems to solve
- Multiply fractions
- Multiply three or more fractions
- Multiply mixed numbers
- Division with fractions
- Reciprocal operations
- Divide whole numbers and unit fractions
- Mixing it all up – solve the fraction problems
- Expressions with fractions

#### Rational Numbers (fractions of integers)

- About rational numbers
- Conversions
- Absolute value
- Comparisons
- Arrange rational numbers
- Add and subtract
- Rules to remember
- Multiplication
- Rules for multiplication

#### Number sense: Percentages

- What is the percentage?
- Calculate the percentage from decimals, fractions
- Comparisons with percentages
- Estimate the percentage
- Money and percentages
- Word problems
- Equations to solve
- Word problems to solve

### Pattern, Functions & Algebra

#### Algebra 1: Exponents and square roots

- About exponents
- Things to consider with exponents
- Equations with variable exponents
- Negative base exponents
- Exponents used with fractions and decimals
- Evaluate the expressions
- Square roots of perfect squares
- Estimate square roots

#### Ratios, proportions and rates

- About ratios
- Equivalent ratios
- Write equivalent ratios
- Problems to solve with ratios
- Unit rates
- Compare and solve the ratios
- Scaling problems
- Proportions
- Solve the proportions
- Proportion problems to solve
- Practical estimations
- Rate of change
- Constant rate of change

#### Proportional relationships

- Constant of proportions
- Equations for proportional relationships
- Proportional relationship and graphs
- Find the constant
- Write equations from graphs
- Identify the relationships
- Interpret graphs
- Solve the equations

#### Patterns and sequences

- What comes next?
- Complete the pattern
- Create a pattern
- What row is next?
- Identify the sequence
- Arithmetic sequences
- Geometric sequences
- Mixed sequences
- Problems to solve
- Variable expressions
- Write a variable expression

#### Algebraic Expressions – Important basics

- Variable expressions
- Word problems with variable expressions
- Linear expressions
- Multi-variable expressions
- Absolute value expressions
- Non-linear expressions
- Terms and coefficients
- Sort factors of expressions
- Properties of addition and multiplication
- Multiplication and the distributive property
- Equations to solve
- Equivalent expressions
- Like terms – add and subtract
- Linear expressions – mixing it up
- Factors of linear expressions
- Identify the expression

#### Work with one variable

- Identify the correct variable
- Create the correct equation
- Algebraic illustrations to create equations
- Create equations from diagrams
- Solve one-step equations
- Solve two step equations
- Word problems to solve
- Expressions with like terms
- Solve the equations (Find the missing term)

#### Equations with two variables

- Work with two variable equations
- Dependent and independent variables
- Problems to solve
- Complete the table
- Create a two variable equation
- Graphs of equations
- Graphs of two variable equations
- Interpret graphs
- Create equations from graphs

### Data Handling

#### Be a researcher 1: Data and graphs

- Work with tables
- Line plots
- Create line plots
- Stem and leave plots
- Create stem and leave plots
- Bar graphs
- Create bar graphs
- Histograms
- Create histograms
- Frequency maps
- Pie charts
- Pie charts and central angles
- Line graphs
- Create line graphs
- Box and whisker plots
- Scatter plots
- The best graph to use

#### Be a researcher 2: Statistics: Mean, median mode, range

- Mean, median mode, range
- Interpret charts
- Missing number
- Spot the changes
- Representatives, random and samples

#### Be a researcher 3: Probability

- Determine the probability
- Opposite, exclusive and overlapping events
- Experimentals
- Predictions
- Outcome predictions
- Counting possibilities

### Accounting

#### Accounting basics: Managing Money

- Add, subtract, multiply divide with money
- Shopping experiences
- Prices of units
- Calculate the totals
- Percentages of discounts, VAT
- Discount and mark-ups
- Sale prices
- Practical problems
- Simple Interest rates
- Compound interest rates

#### Practical Problem Solving

- Use estimation to solve problems
- Practical problems to solve
- Estimate and check word problems
- Venn diagrams to solve problems
- Find the number
- Time related problems

### Space & Shape

#### 2D figures

- About polygons
- Angles
- Estimate angles
- Triangles
- Trapeziums
- Quadrilaterals
- Draw triangles and quadrilaterals
- Identify the missing angle
- Interior angles in polygons
- Lines, segments and rays
- Lines: parallel, perpendicular and intersecting
- Complementary, supplementary, vertical and adjacent angles
- Measure complementary, supplementary, vertical and adjacent angles
- Transversal lines
- Measure bisected lines and angles

#### Congruence and Transformation

- Symmetry
- Reflections, rotations and translations
- Graph translations
- Translation coordinates
- Graph reflections
- Reflection coordinates
- Graph rotations
- Rotation coordinates
- Graph dilations
- Dilation coordinates
- Dilations: Scale factor and classify
- Similarity and congruence
- Work with congruent shapes
- Congruence
- Similar figures sides and angles
- Indirect measurement

#### Shapes: 3D figures

- About 3d Figures
- Nets
- Front, side and top views

### Measurement

#### Measurement: The Metrics

- Estimate the measurement
- Metrics: Comparisons and conversions
- Mixed units
- Determine the most accurate metric

#### Measurement: Coordinates – find your way

- Coordinate planes
- Graph axis and quadrants
- Find your way on a graph
- Distances on a graph

#### Measure Geometric Shapes

- Perimeter
- Rectangles – perimeter and area
- Rectangles and parallelograms
- Triangles and trapeziums
- Shape comparisons
- Word problems: Area and perimeter
- Volume
- Surface area
- Mixing it all

### Advantages of iRainbow's Software

#### Offline Education Feature

The software from iRainbow grants kids the ability to study independently of an internet connection, removing potential distractions like social media, online games, inappropriate content, and cyberbullying.

#### Oversight by Guardians and Teachers

iRainbow's system gives parents and educators the tools to track their child's or student's progress, swiftly pinpointing their strengths and recognising where further assistance is needed.

#### Tailored Learning Journey

Students can personalise their avatars and select a virtual buddy to accompany them throughout their educational voyage, making learning more engaging and fun.

#### Organised Educational Stages

The curriculum of iRainbow utilises a systematic strategy, segmenting lessons into manageable parts. This method allows learners to grasp each idea before moving forward, preventing them from feeling overwhelmed or losing interest.

#### Self-Guided Education

iRainbow understands that learning can be a multifaceted process and enables kids to study at a pace that suits them, catering to their unique requirements and preferences.

#### Compatibility with Computer and Android Devices (iOS Support Coming Soon)

iRainbow's application can be utilised on any Android device or computer, allowing kids to learn via their smartphone, tablet, or desktop, depending on their comfort.

#### Automated Internet-Based Updates

Upon connecting to the internet, iRainbow's application updates itself autonomously, ensuring users can access the most recent features and curriculum enhancements.

#### Proudly South African

iRainbow is distinctively South African, designed and maintained by a committed team of local professionals. This demonstrates our dedication to encouraging and advancing domestic talent and creativity.

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#### FAQ

AMathematics is crucial because it compels children to slow down, carefully analyse problems, and devise logical solutions. This process encourages them to think creatively and consider multiple approaches to a problem. As a result, studying maths helps children develop essential skills, such as critical thinking, problem-solving, and logical reasoning, which are vital for success in both school and everyday life.

ABy engaging with iRainbow for just 1.5 hours weekly over a full term, you can see up to a 30% increase in your child’s maths marks. The programme focuses on reinforcing key concepts, providing practice problems, and offering personalised feedback to ensure educational advancement.

AFor optimal results, it is recommended that your child engage with iRainbow for at least 1.5 hours per week over a full term. Consistent use helps reinforce learning and improve academic performance in maths.