Teaching with Algebra Tiles: Mastering Proof

£16.67

Teaching with Algebra Tiles: Mastering Proof

Algebraic proof is often found as one of the most challenging ideas within the school curricula. Using algebra tiles this becomes more intuitive for pupils and offers teachers a far better way of communicating these ideas that build upon models used in directed number, simplifying, equality, distribution and factoring.

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Recap

In this section of the course, we will recap using algebra tiles and explore the link between base 10 and base x.

A recap of algebra tiles

2 mins
27.8 MB

Long division

3 mins
39.3 MB

Preview

Recap Practise

815 KB

Think of a Number

In this section we will look at how simple number problems can be modelled, and communicated, effectively using algebra tiles.

Think of a number

2 mins
10.2 MB

Preview

Think of a number practise

263 KB

Odd and Even Numbers

In this section, the focus will be on the modelling of odd and even numbers using algebra tiles and moving towards generality.

Odd and even numbers

3 mins
11.5 MB

The square of an odd number

2 mins
62.7 MB

Algebraic Proofs

In this section, we will explore algebraic proofs using algebra tiles.

Algebraic Proof Problems

264 KB

Consecutive numbers and divisibility

2 mins
21.5 MB

Sum of two consecutive numbers

2 mins
23.7 MB

Consecutive even numbers

2 mins
23 MB

Consecutive numbers and multiples of five

2 mins
24 MB

Products of consecutive numbers

3 mins
39 MB

Products and square numbers

3 mins
46.7 MB

Squaring odd numbers

4 mins
69.7 MB

Divisibility of (n+2)² – (n-2)²

4 mins
74.7 MB

Proving that (n + 1)² + (n + 3)² − (n + 5)² = (n + 3)(n − 5)

3 mins
40.9 MB

Primes

In this section, we will work with algebra tiles to examine proofs with prime numbers and show how intuitive this becomes with a physical model.

Sieve of Eratosthenes

4 mins
75.3 MB

Primes and multiples of 6

5 mins
85.4 MB

Primes greater than 3

4 mins
71.7 MB