Year 7 Maths Tutor Program

Computation with Positive Integers

Subtopics:

• Place value in ancient number systems
• Place value in Hindu-Arabic numbers
• Adding and subtracting positive integers
• Algorithms for adding and subtracting
• Multiplying small positive integers
• Multiplying large positive integers
• Dividing positive integers and dealing with remainders
• Estimating and rounding positive integers
• IOrder of operations with positive integers

Angle Relationships

Subtopics:

• Points, lines, intervals and angles
• Measuring and classifying angles
• Adjacent angles and vertically opposite angles
• Transversal lines and parallel lines
• Solving geometry problems
• Circles and constructions with ruler and compasses
• Constructions with dynamic geometry software

Computation with positive and negative integers

A Working with negative integers B Adding or subtracting a positive integer C Adding or subtracting a negative integer D Multiplying or dividing by an integer E Order of operations with positive and negative integers F The Cartesian plane Review: Chapter summary Multiple-choice questions Short-answer questions Extended-response questions

Understanding fractions, decimals and percentages

Subtopics:

• Factors and multiples
• Highest common factor and lowest common multiple
• What are fractions?
• Equivalent fractions and simplified fractions
• Mixed numerals and improper fractions
• Ordering positive and negative fractions
• Place value in decimals and ordering decimals
• Rounding decimals
• Decimal and fraction conversions
• Connecting percentages with fractions and decimals
• Decimal and percentage conversions
• Fraction and percentage conversions
• Percentage of a quantity
• Using fractions and percentages to compare two quantities

Probability

Subtopics:

• Describing probability
• Theoretical probability in single-step experiment
• Experimental probability in single-step experiments
• Compound events in single-step experiments
• Venn diagrams and two-way tables
• Probability in two-step experiments

Computation with decimals and fractions

Subtopics: A Adding and subtracting decimals B Adding fractions C Subtracting fractions D Multiplying fractions E Multiplying and dividing decimals by 10, 100, 1000 etc. F Multiplying by a decimal G Dividing fractions H Dividing decimals I Computation with negative fractions Review: Chapter summary Multiple-choice questions Short-answer questions Extended-response questions

Time

Subtopics:

• Units of time
• Working with time
• Using time zones

Algebraic techniques 1

Subtopics: A Introduction to formal algebra B Substituting positive numbers into algebraic expressions C Equivalent algebraic expressions D Like terms E Multiplying, dividing and mixed operations F Expanding brackets G Applying algebra H Substitution involving negative numbers and mixed operations I Number patterns J Spatial patterns K Tables and rules L The Cartesian plane and graphs Review: Chapter summary Multiple-choice questions Short-answer questions Extended-response questions

Equations 1

Subtopics:

• Introduction to equations
• Solving equations by inspection
• Equivalent equations
• Solving equations systematically
• Equations with fractions
• Equations with brackets
• Formulas and relationships
• Using equations to solve problems

Measurement and computation of length, perimeter and area

Subtopics:

• Measurement systems of the past and present
• Using and converting units of length
• Perimeter of rectilinear fi gures
• Pi and circumference of circles
• Arc length and perimeter of sectors and composite figures
• Units of area and area of rectangles
• Area of triangles
• Area of parallelograms
• Area of composite fi gures
• Mass and temperature

Introducing Indices

Subtopics:

• Divisibility tests
• Prime numbers
• Using indices
• Prime decomposition
• Squares, square roots, cubes and cube roots
• The zero index and index laws