# Concrete-Pictorial-Abstract and the Teaching for Mastery

- Author:
- Tom Carpenter, The Central Maths Hub

The GeoGebra Resource Work Group, part of the Central Maths Hub, are a small group of teachers, both primary and secondary, who have come together to design, create and trial resources to support using "Concrete-Pictorial-Abstract" approaches in their teaching. Using GeoGebra to act as the pictorial phase of the approach, this book is a collection of those resources. Thanks to Tom Carpenter, Michael Borcherds and the GeoGebra community for the creation of these files.

## Table of Contents

### Counters and Number Lines

### Bar Models for fdp

### Other Primary

### Other Cross-Phase

- Multiplicative Commutativity
- Adding Double Digits
- Double digit subtraction
- 100 Grid for Equivalent Fractions, Decimals and Percentages
- Fraction and Decimal Hundredths Grids
- Multiplying Fractions
- Multiplying Fractions 2
- Equivalent fractions
- Simplifying Fractions
- Add and Subtract Fractions
- Multiplying & Dividing by Powers of 10
- Line Graph of Simpson's characters

### Other Secondary