# Number Activities

## How to teach Number using Mangahigh - inequalities

Get your students engaged in comparing values using the inequality signs with Mangahigh’s math game ‘Deepest Ocean’. Students start with the ‘>’ sign and positive values, collecting fish where the statement is true. The more fish the student collects the more challenging the questions become, progressing into deeper waters with ‘>’ and ‘<’ signs and negative integers.

## Lesson idea for teaching inequalities

Example of blended learning lesson

Play through the first level of ‘Deepest Ocean’ with the whole class on the whiteboard. This will introduce them to the basic principles of the game. Challenge the students to predict the outcome of each fish in advance.
Set two ‘Deepest Ocean’ activities to your class called ‘Comparing using ‘>’ sign with positive whole numbers’ and ‘Comparing using ‘<’ sign with positive whole numbers’. Move through the class offering help where needed and challenge students to explain their choices. Use your Mangahigh analytics platform to check progress and support struggling students.
What have they learnt about inequality signs? What does the greater than and equal to symbol look like and mean? How might these inequality statements look if they were not attached to fish?
Students return to the ‘Deepest Ocean’ activities. For the most able, set an additional activity ‘Comparing using ‘<’ and ‘>’ signs with positive and negative whole numbers’. Use your Mangahigh analytics platform to identify any students who have struggled with the first activity ‘Comparing using ‘>’ sign with positive whole numbers’ and support them or encourage them to work with their peers.
Write 5 inequality statements on the board, students attempt to answer them on paper

## How to teach Number using Mangahigh - finding prime factors

Introduce your students to prime factors through the use of Mangahigh’s adaptive quiz ‘find prime factors’. Students will start with ‘Easy’ questions to help introduce new ideas and then move onto ‘Medium’ questions with some scaffolded support. Students then progress onto ‘Hard’ questions that really test their understanding, and the most able will move on to ‘Extreme’ questions that will challenge even the brightest students.

## Lesson idea for teaching prime factors

Example of blended learning lesson

on the whiteboard write down the factor tree for 34. Discuss which of these numbers are prime factors and why.
Set the Mangahigh activity ‘Find prime factors’. Each time students play through the activity they will answer 10 questions. Encourage students to make at least three attempts, i.e. attempt at least 30 questions. Students will receive a bronze medal award and thus demonstrate they have a secure understanding if they can prove their competency at the hard questions. The most able students might achieve a silver or gold medal by answering extreme questions. Move through the class offering help where needed and challenge students to explain their solutions. Use your Mangahigh analytics platform to check progress and support struggling students.
Play through the activity ’Find prime factors’ from your Mangahigh teacher platform on the whiteboard with the whole class. Challenges students to explain their solutions.
Students return to the ‘Find prime factors’. For the most able, set an additional activity ‘Product of prime factors’. Use your Mangahigh analytics platform to identify any students who have struggled with the first activity ‘Find prime factors’ and support them or encourage them to work with their peers.
Write the numbers: 5, 10, 13, 15, 21, 23 and 32 on the board, students attempt to write down the factors for each number on paper and to declare if the original number is prime or not.

## Selection of number activities

Curriculum-aligned activities

### Add and subtract in columns

Use efficient written methods to add and subtract whole numbers up to 1000.

### Rationalize a denominator

Understand what operation to perform to the numerator and denominator of a fraction in order to rationalize the denominator. Perform further simplification.

### Putting whole numbers in order up to 100

Decide which of two numbers from 1 to 100 is the larger. From a list of integers up to 100, arrange in ascending or descending order.

### Ratios

Understand very simple ratio to compare two amounts where the ratio will be given in the question. Also, find ratios of amounts to each other and simplify. Units will be the same each time.

### Round to the nearest unit, 10, 100 and 1000

Round to positive powers of 10 e.g. 100,10, kilometre (when measure is expressed in metres). Include examples of decimals (both between 0-1 and greater than 1) rounded to the nearest integer.

### Find the nth term of a linear sequence

Find a linear nth term and express it in words and algebraically. The terms arithmetic sequence and linear sequence should be understood.

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