Pedagogy

When new knowledge is introduced in small pieces, in a sensible order, explicit teaching is clearer and practice is more effective. The Y Intercept lessons have incredibly specific learning intentions, designed to improve student learning chances.

The phases in each lesson — Prepare, Instruct, Support, Practice, Extend — provide a range of instructional opportunities to suit different classrooms and teaching styles, as well as addressing each learning intention thoroughly.

A Foundation or Year 1 maths lesson can look simple from the outside. Counting. Comparing quantities. Adding and subtracting within ten. The content is small, but the steps inside the content are not.

To count meaningfully, a child has to coordinate one-to-one correspondence, the stable order of the count sequence, and cardinality. To add within ten, they need the count sequence forwards and backwards, the ability to recognise small quantities without counting, and a sense of how numbers are composed. To bridge through ten, they need all of the above, plus fluency with combinations to ten, plus the beginnings of place value.

If any of those smaller pieces isn't secure, the next thing doesn't reliably stick. The Y Intercept is the result of more than a decade of working out what the smaller pieces are, what order they need to come in, and how much practice each one needs before the next is introduced.

New knowledge relies on secure prior knowledge. Tracking student prior knowledge with The Y Intercept is much more granular, and therefore more effective. This is because new knowledge assumes prerequisites are secure. Each lesson overlap with previous lessons, improving working memory limitations and giving more opportunities for knowledge to stick. If the lesson is too difficult, the prior knowledge (previous units) have not been secured.

Foundation and Year 1 are where the foundations of mathematical thinking are built. Get it right and students arrive in Year 2 with the foundations in place for everything that follows. Get it wrong — too much content too quickly, not enough practice, gaps left to compound — and by Year 3 the gaps tend to look like "weak number sense" or "doesn't pick up new concepts".

The Y Intercept exists because an effective early sequence has more impact in those first years than in any other point in a student’s mathematics education.

Teachers continue to develop, every year, regardless of the resources they're using. Knowing your students, reading the room, adjusting in the moment, finding the right words for the child in front of you — none of that is replaced by a curriculum.

What the curriculum does is take the design work off the teacher's plate. You don't need to be working out which sub-skill comes before which, how many lessons of practice each piece needs, when to bring earlier content back, or how to chunk a new concept so it lands. That work is in the curriculum.

The Y Intercept was built by a teacher who has spent more than a decade doing that work, alongside teaching.