• Mathematics
• Year 10

# Proportion and Rates of Change

approx. 6 hrs

3 topics

19 concepts

Develop mastery of Proportion and Rates of Change to achieve success in assessments and exams.

Available in
ACT NSW NT QLD SA TAS VIC WA

### Overview

Year 10 Proportion and Rates of Change is aligned to the Australian Mathematics curriculum. This topic explores direct and indirect proportion in practical contexts, such as the relationship between walking speed and the distance travelled. Students studying Year 10 Proportion and Rates of Change read and interpret distance-time graphs, identify direct and indirect relationships from a description or graph, and use rules for direct and indirect variation between two variables (e.g. speed and distance).

### Topics & Concepts We Cover

This learning program is made up of the following 3 topics, broken down into 19 concepts.

• #### Distance/Time Graphs 6 concepts

1. Interpreting straight line graphs comparing two variables in the positive quadrant

2. Determine a rate from a linear graph

3. Interpret the meaning of line segments, both horizontal and with different slopes in travel graphs

4. Sketch distance/time graphs from a written description

5. Calculations from a distance/ time graph

6. Interpolation and Extrapolation

• #### Direct and Indirect Proportion 5 concepts

1. Form direct proportion equations given the constant of proportionality

2. Recognise direct and indirect proportion from graphs

3. Use conversion graphs to convert from one unit of measure to another

4. Converting units between rates

5. Develop linear equations from practical contexts where one variable directly varies with another

• #### Direct and Indirect Variation Rules 8 concepts

1. Draw a graph to represent the relationship between two variables including variable rates of change

2. Match descriptions to distance/time graphs including varying speeds

3. Graphs of Direct Variation

4. Interpreting information from a distance/ time graph including varying speeds

5. Graphs of Indirect Variation

6. Describe qualitatively the rate of change of a graph

7. Find and use an indirect variation rule

8. Find and use a direct variation rule

### What you'll get

Learning Content

• A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
• All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

• We match you to a private, expert tutor who is right for your needs and goals
• Our tutors are talented, tested, top ATAR achievers and subject experts
• During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Proportion and Rates of Change

Reporting

• Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
• You and your parents receive a comprehensive feedback report after every session
• Every session is recorded and available for you to watch at any time, allowing you to review what was covered

### Ready to start this program?

Simply pick a time that works for you

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

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