# Teaching for mastery in primary maths

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## Understanding algebra

• Year group: Year 6
• Term: Spring
• Topic: Algebra
• Duration: 2 weeks
• Keystage: KS2
• Age Range: 10 to 11 yrs
• Unit can be taught out of sequence: N
• Week Range: 5 - 6

In this chapter, pupils are introduced to the concept of using letters and symbols to represent unknowns. They apply this understanding to solve problems.

Concrete objects and pictorial representations are pivotal in supporting pupils as they get to grips with expressing problems, such as those with missing numbers, algebraically. For example, they may be given cups and counters in order to work out how many counters are under each cup. Pupils may then use and manipulate bar models to solve the simple algebraic equation. In working through the problem this way, each step becomes less abstract.

As well as solving equations, pupils make use of simple formulae by substituting numbers. These may include formulae they have already met (eg, in finding the area or perimeter of a rectangle) or those that are new to them. They also find pairs of numbers that satisfy an equation with two unknowns and generate and describe simple linear sequences.

Download all algebra chapters as a PDF

## Resources for this topic

### White Rose Maths

#### Number problems

A set of number problems including factors, primes, odd, even and square numbers.

#### Reasoning - Problem Solving - Mainly Number Problems - March 23rd

Today's problems are here. There are two problems for KS1 and three for KS2.

In KS1 children have to work out the total number of oranges and also understand the relationship between repeated addition and multiplication.

At KS2 children have three quick number problems they have to solve.

Every day in March the White Rose Maths Hub is aiming to put out a question of the day.

Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize.

### Mathematics Mastery

#### Algebra

Enabling pupils to develop their mathematical reasoning skills through independent work is a key element of the Mathematics Mastery programme.

This activity explores the concept of algebra.

• Pupils should complete these tasks using concrete manipulatives as part of the CPA approach
• Pupils should be encouraged to explain their working in full sentences
• These tasks may be adapted with pupils working in pairs to encourage mathematical discussion

Like what you see? Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

#### Algebra

Enabling pupils to develop their mathematical reasoning skills through independent work is a key element of the Mathematics Mastery programme.

This activity explores the concept of algebra.

• Pupils should complete these tasks using concrete manipulatives as part of the CPA approach
• Pupils should be encouraged to explain their working in full sentences
• These tasks may be adapted with pupils working in pairs to encourage mathematical discussion

Like what you see? Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

### Resources shared by teachers

#### Year 6 - Algebra - week 6

This set of 5 worksheets and activities get students to consider how to start solving equations. There is a large focus on the balancing method through the representations of Bar Models.

#### Substituting into formula crime scene

Substitution where unknown is not the subject crime scene investigation complete with investigation booklet.

Now with a modified easier version practising substitution into formulae where the unknown is the subject. I've changed the order they meet the formulae and added a page to be written on for examples.

#### MathBusters / MathsBusters!!!

Mathbusters is a Blockbusters-style game for two teams (red and green) where contestants choose a hexagon, behind which is a question they need to answer to light that hexagon in their team’s colour. Three games have been added here; however, the template can be changed to be used for any area of mathematics / ganeral knoweldge. Note: Macros must be enabled; if the buttons don’t work, open Powerpoint first, then open the ppt file. Thanks to the guys from Eggbuckland Community College for the template!

#### Expanding Brackets PowerPoint

PowerPoint with complete lesson on Expanding Brackets (L4-L6) used with a Year 8 class. The lesson has differentiated questions with solutions and many assessment opportunities such as whiteboards, spot the mistake, corners activity and bingo. :)

#### Pattern sequences and finding the nth term rule

This is a lesson to follow introduction of the nth term rule, which looks at pattern sequences. It is introduced as a contextual problem - a farmer who has to build a fence to separate his sheep from his goats. In this phase, students use mini-whiteboards to give their responses, before moving on to complete a worksheet (slides 18 and 19). Make sure your audio is turned on as sound is embedded in some slides. Please rate/comment/favourite as appropriate. All suggestions to improve are welcome. Dave

#### Forming and Solving Equations

Pupils create equations from worded scenarios. The Powerpoint has a number of examples to use which you will need to write on, as well as a starter, plenary and worksheet with answers! :) If you like this resource then please check out my other stuff on here!