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# KS3 Numeracy Year 7 Building Numeracy

Each Building Numeracy unit contains a week’s worth of teaching for students who need to build their understanding of numeracy. Every aspect of numeracy is explicitly explained, so they can be taught by a teacher or a TA. It will take 2 terms to get through all the material, or select the units relevant to your students.

Units consist of three complete sessions plus homework. These sessions provide all you need to teach students who have currently not mastered this numeracy topic, e.g. place value. The teaching and activities are outlined in a word document and the teaching is structured through a PowerPoint presentation to use with the students. The homework activities consolidate the learning. It is envisaged that these three sessions comprise one week’s work for these students, at the end of which, they should have mastered the topic.

## Unit 1 Place Value 1 (free)

### Objectives

Day 1

• Understand place value in 4- and 5‐digit numbers; Use place value to complete additions and subtractions.

Day 2

• Compare and order numbers up to 100,000.

Day 3

• Place numbers to 100,000 on a line.

### Planning and Activities

Day 1
An initial 5-minute timed assessment to gauge existing Place Value understanding [PowerPoint Slide 2]

Each student will need a copy of the Skill Drill Record Sheet [see below, to be printed] to record their score and ongoing personal bests.

Students struggling?

Don’t worry – this is what you’ll be teaching them today…

Day 2
Rehearsal of reading and writing numbers to 100,000. Timed: 5mins [PowerPoint Slide 2]

Each student will need a copy of the Skill Drill Record Sheet [see below].

Do students need a reminder before you start?

Revisit ideas from the previous lesson and refresh the Place Value Chart image. [See today’s PowerPoint Slide 11]

Are students struggling once they’ve begun?

Can you quickly deal with a small number of students one-to-one, while the remainder complete the task?

Or do you need to revise ideas from the previous lesson for the majority? [Revisit the Place Value Chart on today’s PowerPoint Slide 11]

Day 3
Rehearsal of comparing and ordering numbers up to 100,000. Timed: 3mins

Don’t forget to update the Skill Drill Record Sheet [see below]!

Do students need a reminder before you start?

Revisit ideas from the previous lesson and refresh the use of < and > [See today’s PowerPoint Slide 11]

Are students struggling once they’ve begun?

Can you quickly deal with a small number of students one-to-one, while the remainder complete the task?

Or do you need to revise ideas from the previous lesson for the majority? [Revisit the use of < and > on today’s PowerPoint Slide 11]

## Unit 2 Decimals 1

### Objectives

Day 1

• Know how to write tenths as fractions and decimals; Understand the place value of each digit in numbers with one decimal place.

Day 2

• Multiply numbers with one decimal place by 10, and divide by 10 to give numbers with one decimal place.

Day 3

• Order numbers with one decimal place and locate on a line.

### Planning and Activities

Day 1
Revision of placing numbers to 100,000 on a number line. Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start? Revisit the number line from last time [See today’s PowerPoint Slide 11].

Are students struggling once they’ve begun? Can you quickly deal with a small number of students one-to-one? Or do you need to revisit the number line [today’s PowerPoint Slide 11].

Day 2
Practise writing tenths as fractions and decimals, and to identify the Place Value of an underlined digit. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start? Revisit the PV chart and grid from last time [See today’s PowerPoint Slide 12].

Are students struggling once they’ve begun? Can you quickly deal with a small number of students one-to-one? Or do you need to revisit the PV images [today’s PowerPoint Slide 12].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Rehearse multiplying numbers with one decimal place by 10, and dividing by 10 to give numbers with one decimal place.

Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start? Revisit the PV grid from last time [See today’s PowerPoint Slide 11].

Are students struggling once they’ve begun? Can you quickly deal with a small number of students one-to-one? Or do you need to revisit the PV grid [today’s PowerPoint Slide 11].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

### Objectives

Day 1

• Work out pairs with a total of 100.
• Add pairs of two-digit numbers.

Day 2

• Add 10 and 100 and multiples of 10 and 100.

Day 3

• Use strategies for adding pairs of two-digit numbers to add pairs of multiples of 10 and 100.

### Planning and Activities

Day 1
Revision of ordering numbers with one decimal place and locating on a number line. Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed if needed].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the number line images from last time [See today’s PowerPoint Slide 14]

Day 2
Practise adding pairs of two‐digit numbers. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start or struggle once they’ve begun? Revisit the addition strategies and images from last time [See today’s PowerPoint Slide 13].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Rehearse counting on in 10s, 100s and multiples of 10 and 100.

Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the counting strategies from last time [See today’s PowerPoint Slide 10].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 4 Subtraction 1

### Objectives

Day 1

• Count up to find a difference between 2-digit numbers and multiples of 100.

Day 2

• Subtract pairs of two-digit numbers by counting up to find the difference.

Day 3

• Subtract pairs of two-digit numbers by counting back or counting up.
• Choose when to use each strategy with simple calculations.

### Planning and Activities

Day 1
Revision of adding pairs of multiples of 10 and 100. Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the addition strategies from last time [See today’s PowerPoint Slide 12].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 2
Practise counting up to find a difference between 2-digit numbers and multiples of 100. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start or struggle once they’ve begun? Revisit the counting up strategy from last time [See today’s PowerPoint Slide 9].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Rehearse subtracting pairs of two-digit numbers by counting up.

Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the counting up strategy from last time [See today’s PowerPoint Slide 15].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 5 Multiplication 1

### Objectives

Day 1

• Understand multiplication as repeated addition.
• Recognise commutativity.

Day 2

• Know and revise tables facts.
• Derive factors of any 2-digit number to 12x12.

Day 3

• Multiply numbers by 10 and 100.
• Multiply 1-digit numbers by multiples of 10 and 100.

### Planning and Activities

Day 1
Revise choosing when to use each strategy for subtraction. Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the strategy choices slide from last time [See today’s PowerPoint Slide 12].

Day 2
Practise recognising and describing repeated addition and commutativity. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start, or struggle once they’ve begun? Revisit the number line and arrays from last time [See today’s PowerPoint Slide 18].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Rehearse tables facts to 12 x 12.

Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the multiplication grid from last time [See today’s PowerPoint Slide 13].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 6 Money 1

### Objectives

Day 1

• Write spoken amounts of money.
• Add amounts of money (beginning with adding to the next pound).

Day 2

• Subtract amounts of money.
• Give change using 'Frog'.

Day 3

• Multiply amounts of money by 10, 20, 30 and 100, 200, 300...

### Planning and Activities

Day 1
Revision of multiplication.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the place value strategies from last time [See today’s PowerPoint Slide 14].

Day 2
Practise adding pairs of amounts of money. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start or struggle once they’ve begun? Revisit the range of addition strategies from last time [See today’s PowerPoint Slide 11].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Rehearse subtracting amounts of money, and giving change using Frog.

Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the calculation strategy from last time [See today’s PowerPoint Slide 11].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 7 Multiplication 2

### Objectives

Day 1

• Use the informal written strategy of partitioning for doubling and for multiplying teens numbers by a single digit.

Day 2

• Introduce the grid method for doubling.
• Use the grid method for multiplying teems numbers by a single digit.

Day 3

• Multiply 2-digit and 3-digit numbers by single digit numbers using the grid method.

### Planning and Activities

Day 1
Revise multiplying amounts of money by multiples of 10 and 100. Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the place value grid from last time [See today’s PowerPoint Slide 13].

Day 2
Practise use of partitioning for doubling and 2-digit x 1-digit multiplication [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start, or struggle once they’ve begun? Revisit the place value arrow cards from last time [see today’s PowerPoint Slide 14].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Practise using the grid method for doubling and 2-digit x 1-digit multiplication Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the multiplication grid from last time [See today’s PowerPoint Slide 13].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 8 Division 1

### Objectives

Day 1

• Understand division as 'How many groups of...' e.g. 'How many groups of 5 in 20?' by using repeated subtraction.
• Understand division as 'How many groups of...' by using arrays.

Day 2

• Understand division as the inverse of multiplication.
• Recognise that there is sometimes a remainder after division.

Day 3

• Use partitioning to support halving and dividing by 4, making a link to doubling.

### Planning and Activities

Day 1
Revise multiplying 2-digit and 3-digit numbers by a single digit. Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the grid method from last time [See today’s PowerPoint Slide 15].

Day 2
Practise writing division number sentences for given numbers. [PowerPoint Slide 2] Timed: 5mins.

Do students need a reminder before you start, or struggle once they’ve begun? Revisit the grouped arrays and number lines from last time [see today’s PowerPoint Slide 13].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Practise using grouping on a number line or using arrays for division with remainders Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the number line or arrays from last time [See today’s PowerPoint Slide 14].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 9 Division 2

### Objectives

Day 1

• Divide numbers just beyond the times tables using a number line.

Day 2

• Divide larger 2-digit numbers by single-digit numbers, including those which leave a remainder.

Day 3

• Perform division calculations using a vertical written representation.

### Planning and Activities

Day 1
Revise partitioning to support halving and dividing by 4.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the partition/halve/ halve strategy from last time [See today’s PowerPoint Slide 11].

Day 2
Practise drawing and using empty number lines to find the answer to division problems. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start, or struggle once they’ve begun? Revisit the number lines from last time [see today’s PowerPoint Slide 12].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Practise using grouping on a number line for division with remainders. Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the number line from last time [See today’s PowerPoint Slide 14].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 10 Fractions 1

### Objectives

Day 1

• Fractions explained: understand a fraction as describing a proportion.

Day 2

• Compare simple fractions using the fraction wall.

Day 3

• Identify equivalent fractions.
• Reduce fractions to their simplest form.

### Planning and Activities

Day 1
Revise division using the vertical recording method.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the vertical recording strategy from last time [See today’s PowerPoint Slide 17].

Day 2
Practise drawing and shading arrays to represent fractions. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start, or struggle once they’ve begun? Revisit the chocolate block image from last time [see today’s PowerPoint Slide 13].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Practise comparing fractions. Students will need to refer to Resources: Day 3

‘Fraction wall to 1/10s’ [see below to be printed].Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the fraction strips comparison image from last time [See today’s PowerPoint Slide 13].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 11 Fractions 2

### Objectives

Day 1

• Compare and order fractions to 1/20s.

Day 2

• Understand and convert between mixed numbers and improper fractions. [1 whole and some more].

Day 3

• Understand and convert between mixed numbers and improper fractions. [2 or more wholes and some more].

### Planning and Activities

Day 1
Revise reducing fractions to their simplest form.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the fraction wall from last time [See today’s PowerPoint Slide 15].

Day 2
Practise using a fraction wall to aid sorting fractions according to their size. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start, or struggle once they’ve begun? Revisit the fraction strips image from last time [see today’s PowerPoint Slide 16].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Practise changing mixed numbers into improper fractions and vice-versa Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the pizza division images from last time [See today’s PowerPoint Slide 15].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 12 Place Value 2

### Objectives

Day 1

• Revise place value in 4- and 5‐digit numbers.
• Use PV to add and subtract multiples of 10, 100, 1,000 and 10,000.

Day 2

• Complete place value addition and subtractions, e.g. 4,327 + 340 (not crossing PV boundaries).

Day 3

• Revise place value in numbers up to 100,000.
• Understand place value to 1,000,000.

### Planning and Activities

Day 1
An initial 5-minute timed assessment to gauge existing Place Value understanding [PowerPoint Slide 2]

Each student will need a copy of the Skill Drill Record Sheet [see below, to be printed] to record their score and ongoing personal bests.

Students struggling?

Don’t worry – this is what you’ll be teaching them today

Day 2
Rehearsal of adding and subtracting multiples of 10, 100, 1,000 and 10,000. Timed: 5mins [PowerPoint Slide 2]

Each student will need a copy of the Skill Drill Record Sheet [see below].

Do students need a reminder before you start?

Revisit ideas from the previous lesson and refresh the Place Value Chart image. [See today’s PowerPoint Slide 15]

Day 3
Rehearsal of using place value to add and subtract numbers to 100,000 [PowerPoint Slide 2]. Timed: 5 mins

Don’t forget to update the Skill Drill Record Sheet [see below].

Do students need a reminder before you start/ struggle once they’ve begun?

Revisit ideas from the previous lesson and refresh the use of the PV chart [See today’s PowerPoint Slide 16]

## Unit 13 Decimals 2

### Objectives

Day 1

• Show 2-place decimals on a place value (PV) grid;
• Use a PV chart to create decimal PV additions and subtractions.

Day 2

• Compare and order numbers with two decimal places;
• Place numbers with two decimal places on a number line.

Day 3

• Add and subtract 0.1 and 0.01 to/from 2-place decimals;
• Write decimals as fractions and vice versa, e.g. 37/100 is 0.37 and 0.07 is 7/100.

### Planning and Activities

Day 1
An initial 5-minute timed assessment to rehearse placing numbers to 1,000,000 on a number line [PowerPoint Slide 2]

Each student will need a copy of the Skill Drill Record Sheet [see below, to be printed] to record their score and ongoing personal bests.

Do students need a reminder before you start?

Revisit the Number Line images. [See today’s PowerPoint Slide 20]

Day 2
Rehearsal of recombining numbers with digits in 100s to 0.01s PV columns. Timed: 5mins [PowerPoint Slide 2]

Each student will need a copy of the Skill Drill Record Sheet [see below].

Do students need a reminder before you start?

Revisit ideas from the previous lesson and refresh the Place Value Chart image. [See today’s PowerPoint Slide 13]

Day 3
Rehearsal of placing numbers with two decimal places on a number line. [PowerPoint Slide 2] Timed: 5 mins

Don’t forget to update the Skill Drill Record Sheet [see below].

Do students need a reminder before you start/ struggle once they’ve begun?

Revisit last lesson’s Number lines [See today’s PowerPoint Slide 16]

## Unit 14 Decimals 3

### Objectives

Day 1

• Multiply and divide numbers by 10 and 100 to give decimals and to turn decimals into whole numbers.

Day 2

• Round whole numbers to the nearest 10 or 100.

Day 3

• Round one-place and two-place decimals to the nearest whole number.

### Planning and Activities

Day 1
Revision of -expressing tenths and hundredths as fractions and decimals.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Reminder needed? Revisit the number lines from last time [see today’s Slide 19].

Day 2
Practise multiplying and dividing numbers by 10 and 100. [PowerPoint Slide 2] Timed: 5mins

Reminder needed? Revisit the PV grids from last time [today’s PowerPoint Slide 13].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Practise rounding numbers to the nearest 10 and 100, giving ranges of numbers that will round to given values.

[PowerPoint Slide 2] Timed: 5mins

Reminder needed? Revisit the number lines from last time [today’s PowerPoint Slide 12].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 15 Money 2

### Objectives

Day 1

• Write spoken amounts of money.
• Write, compare and order ‘tricky’ amounts.

Day 2

• Make amounts using different notes and coins.

Day 3

• Subtract amounts of money.
• Give change using ‘Frog’.

### Planning and Activities

Day 1
Revision of rounding decimals.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the number lines from last time. [See today’s PowerPoint Slide 12]

Day 2
Revision of writing amounts of money.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the money PV chart from last time. [See today’s PowerPoint Slide 17]

Day 3
Revision of adding pairs of amounts of money.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the addition strategies from last time. [See today’s PowerPoint Slide 14.]

### Objectives

Day 1

• Find pairs of numbers with one decimal place with a total of 1, then 10.

Day 2

• Apply strategies used for adding pairs of whole numbers to add numbers with one decimal place.

Day 3

Work out:

• Pairs with a total of 100.
• Pairs of 2-place decimals with a total of 1.
• Pairs of pence with a total of £1.

### Planning and Activities

Day 1
Revision of finding change.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit Frog from last time [See today’s PowerPoint Slide 12].

Day 2
Revision of adding to 1 or 10.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the number bonds explanation from last time [See today’s PowerPoint Slide 19

Day 3
R

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the addition strategies from last time [See today’s Slide 14]

### Objectives

Day 1

Use a written method to add:

• Pairs and threes of 3-digit numbers;
• ‘Towers’ of 2-digit numbers.

Day 2

• Column addition of amounts of money.

Day 3

• Revisit strategies to add amounts of money – place value/ column/ round and adjust;
• Choose a strategy to add amounts of money.

### Planning and Activities

Day 1
Revision of adding to total 100, 1 or £1.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit 100-square strategies from last time [See today’s Slide 18].

Day 2
Revision of adding pairs and threes of 3-digit numbers and ‘towers’ of 2-digit numbers.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the column addition methods from last time [See today’s PowerPoint Slide 12.]

Day 3
Revision of adding amounts of money.

Timed: 5mins. [PPT Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the addition strategies from last time [See today’s Slide 10]

## Unit 18 Subtraction 2

### Objectives

Day 1

• Subtract 3-digit numbers from multiples of 100 by counting up.

Day 2

• Count up in context of money to find next £10, £20, £50 or £100.

Day 3

• Count up in the context of measures using 2-place decimals.

### Planning and Activities

Day 1
Revision of choosing a strategy to add amounts of money. Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the range of addition strategies from last time [See today’s Slide 11].

Day 2
Practise subtracting 3-digit numbers from multiples of 100 by counting up. [Slide 2] Timed: 5mins

Do students need a reminder before you start or struggle once they’ve begun? Revisit the counting up strategy (‘Frog’) from last time [See today’s Slide 13].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Rehearse counting up in context of money to find next £10, £20, £50 or £100.

Timed: 5mins [Slide 2].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the counting up strategy from last time [See today’s Slide 14].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 19 Multiplication 3

### Objectives

Day 1

• Multiply multiples of 0.1 by single-digit numbers, e.g. 7 × 0.3 .

Day 2

• Multiply two-digit numbers with one decimal place by single-digit numbers, e.g. 3.4 × 6, using the grid method.

Day 3

• Multiply amounts of money by single-digit numbers.

### Planning and Activities

Day 1
Revision of finding the difference between pairs of measures. Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit ‘Frog’ for finding the difference from last time [See today’s Slide 15].

Day 2
Practise: Derive the 0.7 times table. [Slide 2] Timed: 5 mins

Do students need a reminder before you start or struggle once they’ve begun? Revisit the place value grid from last time [See today’s Slide 12].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Rehearse using the grid method to multiply numbers with 1 decimal place.

Timed: 5 mins [Slide 2].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the multiplication grid from last time [See today’s Slide 14].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 20 Division 3

### Objectives

Day 1

• Use ‘chunking’ on a number line to divide numbers greater than 100 by single digit numbers, including those which leave a remainder.

Day 2

• Use a vertical recording method to divide numbers >100 by single digit numbers, including those which leave a remainder.

Day 3

• Explore short division.

### Planning and Activities

Day 1
Practise using grid multiplication to answer word problems. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start, or struggle once they’ve begun? Revisit the multiplication grid from last time [see today’s PowerPoint Slide 14].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 2
Practise using grouping on a number line for division. Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the number line from last time [See today’s PowerPoint Slide 14].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Practise division using vertical recording. Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the vertical recording method image from last time [See today’s Slide 19].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 21 Fractions 3

### Objectives

Day 1

• Revise equivalent fractions.
• Use the inverse relationship between multiplication and division to support calculation of missing numbers in pairs of equivalent fractions.

Day 2

• Compare and order fractions with unrelated denominators.

Day 3

• Use tables facts to find fractions of amounts.

### Planning and Activities

Day 1
Revise short division.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit model short division calculations from last time [See today’s PowerPoint Slide 17].

Day 2
Practise finding the missing number in a pair of equivalent fractions. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start, or struggle once they’ve begun? Revisit the calculation strategy images from last time [see today’s PowerPoint Slide 13].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Practise comparing fractions. Students will need to refer to Resources: Day 1-3

‘Fraction walls’ [see below to be printed] Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the fraction strips comparison image from last time [See today’s PowerPoint Slide 14].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 22 Fractions 4

### Objectives

Day 1

• Divide numbers by 10 and 100 [answers no more than 2 decimal places].
• Solve problems using division by 10 and 100.

Day 2

• Explore fraction/ fraction equivalence and fraction/ decimal equivalence for: 1/4s, 1/10s, 1/5s and 1/100s.

Day 3

• Revisit ‘short’ division - by 2, 4 and 5 - expressing remainders as fractions.

### Planning and Activities

Day 1
Revise finding fractions of amounts.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the division and multiplication strategy from last time [See today’s PowerPoint Slide 18].

Day 2
Practise dividing numbers by 10 and 100. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder before you start, or struggle once they’ve begun? Revisit the place value grid images from last time [see today’s PowerPoint Slide 13].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

Day 3
Practise recognising fraction/ fraction/ decimal equivalence. Students may refer to the number lines created in the previous session. Timed: 5mins [PowerPoint Slide 2]

Do students need a reminder before you start or struggle once they’ve begun? Revisit the number line images from last time [See today’s PowerPoint Slide 20].

Don’t forget to ask students to complete their Skill Drill Record Sheet.

## Unit 23 Percentages

### Objectives

Day 1

• Understand percentage as ‘a number of parts per hundred’.

Day 2

• Convert percentages to numbers of hundredths or tenths (as fractions and decimals) and vice versa.

Day 3

• Use place value (division by 10 or 100), and multiplication, to find percentages of amounts,

e.g. 30% of £24 = (£24 ÷ 10) x 3

8% of 700kg = (700kg ÷ 100) x 8

### Planning and Activities

Day 1
Revise short division, giving remainders as fractions.

Timed: 5mins. [PowerPoint Slide 2]

Each student will need their copy of the Skill Drill Record Sheet [see below, to be printed for any new students/ lost sheets].

Do students need a reminder before you start or struggle once they’ve begun? Revisit the ‘remainders as fractions’ explanation from last time [See today’s PowerPoint Slide 14].

Day 2
Practise ‘percentage’ by interpreting shaded 100-grids. [PowerPoint Slide 2] Timed: 5mins

Do students need a reminder? Revisit the 100-grid image with explanation from last time [see today’s PowerPoint Slide 20].

Don’t forget the Skill Drill Record Sheet.

Day 3
Practise matching percentages to fractions (over 10 or 100) and decimals.

Timed: 5mins [Slide 2]

Do students need a reminder? Revisit the 100-grid images from last time [See today’s Slide 21].

Don’t forget the Skill Drill Record Sheet.