Operations
Round, Estimate, Add and Subtract Whole Numbers
Use Rounding + Estimation
Routines to build number sense.
Y4-5 Comparing, Ordering+Rounding 4 digit Numbers
5 Lessons. Oak National Academy
Y5-7 Estimating+rounding
Teaching Ideas ARC Learning (Education Vic)
Y5-7 Rounding Numbers
Online Activities. transum
Y5-6 Whole Number Add-Sub Assessment Tasks
L3 whole number Add-Sub formative assessment tasks. ARBs
Y4-6 Add-Sub Lessons + Tasks
A mix of add-sub strategy lessons and tasks. Tāhūrangi
Y4-6 Can this be true?
video. Number talk promoting estimation + Number Sense. Inside Mathematics
Y4-5 Bar Model Method
Using bar models for addition + subtraction. Lessons 1 + 2. ReSolve (Aus)
Y4-5 Difference Add
Add to Subtract. Game. STEM Learning
Y4-6 Big Pig
Fun group or whole class Warmup game. Mental Addition. Math for Love.
Y4-6 Pyramid Puzzles
Addition Puzzles. Math For Love
Y4-6 Column Addition-the easy way to add
Column Addition video. MATHmoNZ
Y4-6 Adding at KS2
video on how addition is taught at Key Stage 2 in the UK. St annes School.
Y4-6 Subtracting at KS2
video on how Subtraction is taught at Key Stage 2 in the UK. St annes School.
Y4-6 Strategies for Addition + subtraction
Download this booklet from Pam Harris.
Y4-6 dicey Operations
column add-sub practice game. Adjust the settings for larger problems. NRICH
Y4-6 Don’t break the Bank
Column Addition. Fun group or whole class game. Math for Love.
Y4-6 Get to Zero
Subtracting from 999 to get to zero game. YouCubed
Y4-6 fLY AWAY
Column Addition puzzle. NRICH.
Y4-6 The Column Method for addition
Online practice tool. Transum.
Y4-6 Two and Two
Column Addition puzzle. NRICH.
Y4-6 Drag’n’Drop Math online Tool
Mr Nussbaum. Column Addition + subtraction online practice tool.
Y4-6 Column Subtraction-the easy way to Subtract
Column Subtraction video. MATHmoNZ
Y4-6 Subtraction surprise
Column Subtraction Inquiry. NRICH
Y6-7 Population Statistics
Differentiated Inquiry task using NZ Statistics
Y6-7 Rounding + Solving Problems with up 7 digits.
5 Lessons. Oak National Academy.
Y5-8 Whole Number Add-Sub Assessment
L4 whole number Add-Sub formative assessment tasks. ARBs
Number Talks
A Jo Boaler video. For more on number talks, take a look at Routines.
Count Forwards + Backwards. Memorise Mult+Div Facts.
Choral Counting
Choral counting routine. Education by Design.
Choral Counting
Choral counting routine. Zenned math Instructional Video.
Maze Hundreds Chart
Choral counting with the Maze Hundreds chart
Strategies for x8 multiplication facts
Multiplicative learning Sequence 1. ARC
Number Sequences: Multiples of 2,4+8 Part 1
Multiplicative learning Sequence 2. ARC
Number Sequences: Multiples of 2,4+8 Part 2
Multiplicative learning Sequence 3 ARC
Strategies for x6 multiplication facts
Multiplicative learning Sequence 4 ARC
Strategies for x9 multiplication facts
Multiplicative learning Sequence 5 ARC
Number Sequences: Multiples of 3,6+9
Multiplicative learning Sequence 6 ARC
Number Sequences: Multiples of 3,6+9
Multiplicative learning Sequence 57ARC
Y6 Integers on a number line
Count forwards-backward including negative numbers. Stage 1+2 activities. ARC.
Basic Facts Tests + Online Practice
NDP Printable or practice Tests. L3=Stage6 L4=Stage7. Prototec.
Recall Mult+div facts up to 10×10
Teaching Ideas. ARC Learning (Education Vic)
Y4: Represent counting in threes and sixes as the 3 and 6 times tables
5 Lessons. Oak National Academy
Y4-5: 2, 4 and 8 times tables
using times tables to solve problems. 15 Lessons. Oak National Academy
Y5: 7 times table
odd and even patterns, square numbers and tests of divisibility. 10 Lessons. Oak National Academy
Y5: 9 times table
Represent counting in nines as the 9 times table. 5 Lessons. Oak National Academy
Y5: Relationship between 3 and 9 times tables
5 Lessons. Oak National Academy
Timestables
Online learning Platform for daily practice – with teacher dashboard. Timestables.co.nz
Multiplication by Heart
includes a Teacher dashboard. multiplication by heart. Mathigon
5 Day challenge
Students follow a pathway to learn a new table in five days. Transum.org.
The Multiplication Course
Free self-paced video course for students. Steve Wyborney
Basic Facts Games
Low prep downloadable games for basic facts practice. mmmathmania.com
Table Legs
Practice App. transum.org
times tables activities
A mix of Times Tables activities. transum.org
Math Cards
Alternative to traditional flash cards. YouCubed
The Array
Online Game. a good tool to link array and area models – for younger students. ABC Education.
Sushi Monster
Basic Facts practice for ipad or mac
Multiplication Tic Tac Toe
Gameboard and rules. Math for Love.
Know Divisibility Rules
Y7-8 Divisibility rules
A mix of activities to learn and practice the divisibility rules. Tāhūrangi
Y6-8: Properties of number
Includes Divisbility Tests. 19 Lessons. Oak National Academy
Y7-8 Divisibility
Transum Divisibility Tests Handout
Y7-8 divisibility
Transum divisibility Activities
Y7-8 Divisibility Rules Game
Card game to practice the divisibility rules. NZMaths
Y7-8 Use Algorithms to check divisibility Rules
Mathematics Hub (Aust)
Multiply and Divide Whole Numbers
Y5-6 Mult-div Assessment Tasks
Multiplication + Division formative assessment tasks. ARBs
Y4-5 Represent + solve Multiplication Problems
Teaching Ideas. ARC Learning (Education Vic)
Y4-5 Interpreting Multiplication + Division
Video, formative assessment, lesson plan + worksheets. Inside Mathematics.
Y4-5 Distributive property
Explanatory Video. Inside Mathematics.
Y4-6 Trays of Arrays
A 2 week Teaching sequence from ReSolve (Aust)
Y4-6 Goat busters
Area Model Game. ABC Education
Y4-6 Disco Goats
Online Array Model Game. ABC Education
Y4-6 The tiler
Students explore Arrays. ReSolve task
Y4-6 Multiplication Games
Games with videos and Teacher resources MMMathMania
Y4-6 Division Games
Games with videos and Teacher resources MMMathMania
Y4-6 Array Bingo
A multiplication array game for 2 or more players. Thinking Mathematically (Education NSW)
Y4-8 Strategies for Multiplication + Division
Download this booklet from Pam Harris.
Y4-8 Progression of Division Models
Video Introduction to models for division. Inside Mathematics.
Y4-6 Multiplying at KS2
the head teacher from St Annes explains how Multiplication is taught in the UK. Video.
Y4-7 Dividing at KS2: Parts 1 + 2
the head teacher from St Annes explains how division is taught in the UK. Video.
y4-7 Equal Groups in multiplication + division
Video. Inside Mathematics.
y4-7 Introducing the Singapore Bar Model
multiplication + Division number talk videos. Inside Mathematics U.S.
y4-6 Bar Model method.
Lessons 3 + 8. ReSolve. Aust.
y4-6 Link areas of Rectangles to Multiplication
10 Lessons. Oak National Academy. UK.
Y4-6 Introducing The Array Model
arrays for multiplication + division. Video. Inside Mathematics
Y4-6 Dividing with Base 10 blocks
Video. Inside Mathematics
y4-7 Multiplication Sequence
Lessons. includes using the algorithm. Level 3 = Y3-4. ARC.
Y4-6 Intro: standard algorithm for division
Video Introduction. Inside Mathematics.
Y4-6 Alternative strategy for long division
Video Introduction. Inside Mathematics.
Y5-7 Dice collection
Investigation. Choose Stage 2 or Stge 3. Thinking Mathematically (Education NSW)
Y5-6 Efficient strategies for mult+Div
Teaching Ideas. mult-div with no remainder. ARC (Education Vic)
Y5-6 Tāhūrangi
A mix of Y5-6 mult-div strategy lessons and tasks
Y5-6 Multiplication ReSolve Bakery
A 3 Day Teaching Sequence. ReSolve
Y5-6 Multiplication ReSolve Bakery (V2)
Same 3 Day ReSolve Teaching Sequence but presented by the thinking Mathematically team.
Y5-6 The Gold coin Puzzle
Investigation. Sudents explore arrays. T & J Russo.
Multiplication + division Estimation Game
Distributive Property Number Strings
Routines
Incorporate estimation and number talks into your practice.
Y5-6 Array Battles
A multiplication array game for 2 or 3 players – uses counters.
y4-6 Division Sequence
Lessons. includes using the algorithm. Level 3 = Y3-4. ARC
Y5-7 Multiplying + Dividing by 2 digit Numbers
15 Lessons. Oak National Academy
Y5-7 The column Method for multiplication
Online practice tool for column Multiplication
y5-7 Divide by single digit with or without remainders
Teaching Ideas. ARC Learning (Education Vic)
Y6-7 Donut Delight
Muliplication Arrays. 3 Act Task. Make Math Moments
Number Talks
A Jo Boaler video. For more on number talks, take a look at Routines.
Y6-7 Multiplication of Large Numbers
Teaching Ideas. ARC Learning (Education Vic)
Y6-7 Area Model Multiplication
PHET interactive simulations
y5-6 Divide it Up
Online Game to practice division with remainders. ABC Education
Y6-7 Dividing with/without remainers
Online Game. Division of large numbers. ABC Education
Y7-8 Mult-div Assessment Tasks
Multiplication + Division formative assessment tasks. ARBs
Y6-8 Mult-div Lessons + tasks
A mix of L4 mult-div strategy lessons and tasks. Tāhūrangi
Y6-7 Picture Your Method
Extended number talk uses area models for multiplication. NRICH
Y7-8 Division Inquiry Prompt
Inquiry Maths
Y4-8 Fermi Problems
Investigation Ideas. Fermi Problems in Primary Mathematics Classrooms.
Y4-8 How do you do it?
Small Group task- find the most efficient strategy. Adapt to suit year/Ability group. NRICH
Y6-8 Properties of multiplication + Division
commutativity, distributivity, and inverse properties of mult-div. Tāhūrangi
Y7-8 Using Standard Algorithms for Number Operations
Formative assessment + reengagement Tasks. Mathematics Assessment Project.
Y7-8 Bar Model Method
Lessons 1 (Division), 4, 6, 7. ReSolve (Aus)
Y7-8 Bar Model Method in Secondary Mathematics
First 2 Lessons. ReSolve (Aus)
Use the Order of Operations
GEMS or GEMA
Brief video explaining GEMA acronym for Order of Ops.
Y6-8 The Order of Operations
formative Assessment Tasks. ARBs
Y6-8 The Order of Operations GEMA
Slides to guide instruction in GEMA. MiddleMathsNZ
Y6 The Order of Operations
Order of Operations unit (3 sessions). Tāhūrangi
L6-7 Order of Operations
Teaching Ideas ARC Learning (Education Vic)
Y6-8 BIDMAS
a self marking activity for Order of operations. Levels 1-5 available. Transum.org
Y6-8 Order of Operations
online Activites. GeoGebra
Y6-7 Order of Operations Unit
5 Lessons. Oak National Academy
Y6-8 Make the Number
Mathsisfun.com Game. Good for practice or review.
Y6-8 Order of Operations Bingo
MiddlemathsNZ
Y6-8 Representing the Laws of Arithmetic
Formative assessment and Reengagement Tasks. Mathematics Assessment Project
Y6-8 Understanding the Laws of arithmetic
Card sort + Lesson. Stem Learning UK Good follow up to MAPs formative assessment task
Order, Compare, Add + Subtract with Negative Numbers
Y7-8 Negative Numbers Assessment Tasks
Formative Assessment tasks for Negative Numbers. ARBS
Y6-8 Can you dig it?
Introduction to postive + Negative number line. Amplify (formerly Desmos).
Y6-8 Integers on a number line
Teaching Ideas. ARC (Education Vic)
Y6-8 Tug Harder
Integers Game. Players move right or left on a Number Line. NRich
Y7-8 Integer Lessons + Tasks
A mix of lessons + activities for Integers. Tāhūrangi
Y7-8 Compare, order, add + Subtract Integers
Teaching Ideas. ARC (Education Vic)
Y7-8 Arithmetic with Integers + Decimals
19 Lessons. Oak National Academy
Y7-8 Integers
6 Lessons. ARC Learning Sequence (Education Vic)
Y7-8 Directed Number
2 sequential lessons for Aust Y6 (NZ Y&). ReSolve
Y7-8 First connect Three
Easy addition + subtraction of integers. Printable version available. NRICH
Y7-8 connect Three
Harder version of the previous game. NRICH
Y7-8 Order in the Class
ordering positive + Negative Numbers activity. Desmos.
Y7-8 Negative Numbers
Transum online Activities
Y7-8 Sea Level
This task provides a sea level context for integers. NRICH
Y7-8 Up Down flying Around
A Hot Air balloon Game to develop ideas about positive and negative numbers. NRICH
Y7-8 Deep Freeze
Temperature in Celsius. 3 Act Task. GFletchy
Y7-8 Adding + Subtracting Integers
NRICH article with links to yet more games + tasks.
Y7-8 Integer Sprints
Card game to practice adding and subtracting positive + Negative Integers. Mathematics Hub
Y7-8 PHET Number Line
Manipulative tool for exploring integers in different contexts. PHET