Mastery Learning is an educational philosophy first proposed by Benjamin Bloom in 1968. It involves a student learning a topic to a level of mastery (80 - 90%) before moving on.

Mathematics builds new knowledge on the foundations of learnt knowledge. If students don't gain a solid understanding of a topic before they are moved onto the next, they can falter as they do not have adequate prerequisite knowledge.

This can become a vicious cycle, affecting confidence and performance.

The basic system for this website was devised by educator David P. Langford. He used business analysis tools to create a mastery system for his students.

Students work at their own pace until they master a topic. Only then do they move on.

Each topic has a pretest, capacity matrix, instructional video, set of exercises, series of tests and working mathematically tasks. Following is the set up of a typical topic page. Click on the pictures to see an explanation of how to use the system.

## Pre TestStudents complete the pre test before they learn the topic. It is important that students and parents understand that this only sets a benchmark for the student's prior knowledge. There should be no expectation of 'passing' or 'mastering' this test. ## PRE TEST |
## Capacity MatrixStudents use the reflection tool below to analyse their existing knowledge.
After completion of the pre test, the student highlight any capacities in which they have received 100%. This indicates mastery of a particular concept and will not be the focus of their learning. ×## CAPACITY MATRIX |
## Instructional VideoStudents can watch the video as many times as they like. It can be watched in one sitting or broken up into the capacities. ×## VIDEO |
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## ExercisesA series of exercises linked to the capacities is provided for students to practise their knowledge and skills. The answers are also provided. Students mark their work and record their marks as evidence of their knowledge on the capacity matrix. Here is an example for the Year 7 topic of Angles:
Please note: the answers are attached the back of each exercise. Please print responsibly. ×## EXERCISES |
## Interesting or Helpful LinksThere are two links to videos on YouTube or other websites which may help students with their understanding or broadening their knowledge of the topic. ×## INTERESTING OR |
## HELPFUL LINKS |
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## TestsA series of tests and answers is provided so that students can demonstrate their understanding. They are untimed (students take as much time as needed) but are closed book tests (no cheat sheets or internet access allowed). Students record their results on the capacity matrix. After the student codes their matrix, they decide whether to move on to the next topic or to go back, relearn some of the concepts that they missed and resit another test. ×## TESTS |
## Working MathematicallyThis section contains a series of working mathematically tasks for students to attempt. They vary per topic, but typically include an opening problem, investigation, research task and real life application. Also included in this section are harder problems and extension work.
## WORKING MATHEMATICALLY |
## Teachers and ParentsThis sections is for teachers and parents, although students have access and are welcome to use it. Each topic contains lesson outlines, topic summary, video notes and answers to the working mathematically tasks. Some topics have a link to a Kahoot for revision, classroom games (where more than one person is needed) or groupwork tasks. ×## TEACHERS AND PARENTS |

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