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Grade 7 Australia Mathematics

Course Instructor: Alphaa Global Education

FREE

To enroll in this course, please contact the Admin
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Course Overview

Schedule of Classes

Course Curriculum

13 Subjects

Grade 7 Australia Maths

Ch-1 Integers & the Number System

• All operations on integers

• Order of operations with integers

• Absolute value

• Real-world integer applications: temperature, altitude, finance

Ch-2 Index Notation & Prime Factorisation

• Index notation: evaluating expressions

• Index laws: multiplication and division of like bases

• Prime factorisation using factor trees

• HCF and LCM using prime factorisation

Ch-3 Fractions, Decimals & Percentages

• All four operations with fractions

• Converting fluently between fractions, decimals, and percentages

• Percentage of an amount, percentage change, original amount

• Recurring decimals: identifying and expressing

Ch-4 Ratios, Rates & Proportions

2 Exercises2 Learning Materials

• Simplifying and comparing ratios

Session-1

Text

Simplifying and Comparing Ratios

Exercise

Ch-5 Algebra — Expressions & Equations

• Variables and algebraic expressions

• Simplifying: collecting like terms and the distributive law

• Expanding single brackets

• Solving one-, two-, and three-step linear equations

• Using equations to model word problems

Ch-6 Linear Patterns & Graphs

• Identifying linear patterns from tables

• Writing equations of linear relationships

• Graphing linear relationships on the Cartesian plane

• Gradient and y-intercept: meaning and identification

Ch-7 Perimeter, Area & Circumference

• Perimeter and area of triangles and quadrilaterals

• Circumference and area of circles

• Area of composite shapes including circular sections

• Unit conversions within the metric system

Ch-8 Surface Area & Volume

• Surface area of prisms and cylinders

• Volume of prisms and cylinders

• Volume of pyramids and cones (introductory)

• Applying volume and capacity conversions

Ch-9 Angles & Geometric Reasoning

• Angles with parallel lines: corresponding, alternate, co-interior

• Angle sum of polygons

• Exterior angles of triangles and polygons

• Reasoning and justification using angle properties

Ch-10 Congruence & Transformations

• Congruence criteria: SSS, SAS, AAS, RHS

• Identifying congruent figures

• Transformations: translation, reflection, rotation, dilation

• Combining transformations

Ch-11 Data Collection & Representation

• Census vs sample: advantages and limitations

• Frequency tables and histograms

• Stem-and-leaf plots and dot plots

• Selecting appropriate displays for different data types

Ch-12 Probability

• Theoretical probability: sample space

• Venn diagrams: two events

• Tree diagrams for multi-step experiments

• Experimental probability and relative frequency

Course Instructor

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Alphaa Global Education

25 Courses   •   20 Students