This patterns and algebra worksheet, ‘Properties of Operations’ introduces and allows for practice using properties of operations. Answer sheet provided with file download.
This number and numerical operations worksheet, ‘Properties of Operations’ offers guidance on using the relationships among operations. Answer sheet provided with file download.
This learning activity, ‘Punching Numbers’, encourages students to connect rules involving repeated multiplication to their geometrical representation on a hundreds board. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
Students will enjoy helping Millie and Herbie solve their counting problems on this learning activity, ‘Putting Numbers to Work’. The problems involve operations with numbers to 100. An answer sheet is provided and includes accompanying teaching notes with suggestions for supporting learning and further exploration.
This learning activity, ‘Puzzling Shapes’, asks students to find fractions of sets in a plate of biscuits and fractions of regions in various shapes. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration, as well as cards for a Fraction Memory game.
The amusing learning activity ‘Quacky Questions’ has some interesting problems for students to solve, such as: How many legs are there in a group of sheep and ducks? How can you share pizzas to distribute the olives fairly? Students try out different strategies as they solve and discuss the problems. An answer sheet is provided …More
This number and operations worksheet, ‘Ratio and Percentages’ allows for practice identifying ratios and percentages. Answer sheet provided with file download.
This number and numerical operations worksheet, ‘Reasonableness of Computations’ offers explanation on checking the reasonableness of results. Answer sheet provided with file download.
The learning activity ‘Reflect on This’ contains a variety of short problems for students to solve and discuss. Students need to use a range of strategies to support their thinking. The engaging problems involve paper folding, exploring symmetrical images on a calculator, changing lengths, and the distribution of pocket money. An answer sheet is provided …More
This number and numerical operations worksheet, ‘Relationships and Properties of Operations’ offers guidance on understanding and using the relationships and properties of operations. Answer sheet provided with file download.
This graphic organiser, ‘Representing Rainbows’ asks students to represent numbers in different ways.
This number and operations worksheet, ‘Representing Value’ allows for practice with basic number problems. Answer sheet provided with file download.
The learning activity ‘Right or Wrong?’ is designed to be used as a short starting point for a lesson. The problems will generate discussion about the way students think about solving problems, and the strategies they can use. An answer sheet is provided and includes teaching notes to support learning and further exploration.
This number and operations worksheet, ‘Round it Up’ allows for practice estimating solutions to problems by rounding. Answer sheet provided with file download.
This understanding numbers worksheet, ‘Rounding to the Nearest 10’ asks students to practise rounding numbers.
This number and operations worksheet, ‘Rounding Up and Estimation’ allows for practice estimating using rounding. Answer sheet provided with file download.
This understanding numbers worksheet, ‘Rules, Rules, Rules’ asks students to practise with addition, subtraction, multiplication and division.
The illustration on the learning activity, ‘Scaling Up’ shows families of fish that are made up of different numbers of square tiles. Students need to calculate the number of squares each family member is made of, then use strategies to count all the fish in the village. Three sizes of fish represent a family, and …More
The learning activity, ‘Sea Shelters’ shows a variety of sea creatures and some of the places they might live. By using the equations on each creature and the sums on the various homes, students find out where each creature lives. Students can use different methods to find the right places, apart from carrying out each …More
In the learning activity ‘See-Saw Numbers’ students need to identify the operations shown on a number balance and write statements to describe each example. They can also make more number balance problems for classmates to solve. An answer sheet is provided and includes accompanying teaching notes with suggestions for supporting learning and further exploration.
The learning activity ‘Seeing Cs’ contains a variety of short problems for students to solve and discuss. The problems engage students in thinking about the variables that may affect the solutions and the strategies they can use. An answer sheet is provided and includes teaching notes to support learning and further exploration.
The learning activity ‘Setting Up Swaps’ contains a variety of short problems for students to solve and discuss. The problems engage students in thinking about the strategies they can use to solve problems that involve number puzzles, increasing amounts of money, and swapping cards. An answer sheet is provided and includes teaching notes to support …More
The learning activity ‘Slippery Solutions’ provides interesting contexts for students to use number knowledge and strategies. From a pole-climbing snake to friends shaking hands, the problems challenge students to think logically and apply algebraic thinking. An answer sheet is provided and includes teaching notes to support learning and further exploration.
This learning activity, ‘Snakes in the Grass’, shows snakes made of dominoes slithering out of the grass. Students must work out what number of dots are on the hidden dominoes. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
In this learning activity, ‘Soap Suds’, Alanna and Leon can choose how they are going to be paid for doing the dishes at Grandma’s. Students use the four operations to work out their best payment option. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
This graphic organiser, ‘Sorting Map’ helps students to differentiate information that is helpful from information that is useless while solving problems.
The learning activity, ‘Spreadsheet Challenge’ asks students to use a spreadsheet on a computer. They learn to make and work out formulae, using what they know about patterns of numbers. An answer sheet is provided and includes accompanying teaching notes with suggestions for supporting learning and further exploration.
In ‘Spring Fever’ Rebecca is allowed to redecorate her room – but first she needs to measure and calculate the materials she will need. This interesting learning activity challenges students to help Rebecca select the materials as well as calculate the amounts and costs involved. This activity includes comprehensive teaching notes to be read before …More
This number and operations worksheet, ‘Square Roots’ allows for practice with square roots. Answer sheet provided with file download.
The activity, ‘Staircase Capers’ challenges students to find patterns in numbers that have been arranged in different shapes. After working on these examples, students may be interested in finding further examples in other contexts, for example, the numbers on a calendar. An answer sheet is provided and includes teaching notes with suggestions for supporting learning …More
The learning activity, ‘Starry-eyed’ has four number patterns for students to solve. The starfish shapes have lines and spaces, with some spaces already filled: students use calculations to complete the number lines on all the starfish. An answer sheet is provided and includes accompanying teaching notes with suggestions for using different strategies to solve the …More
This learning activity, ‘Stars and Students’ gives students a board game in which they must use multiplication to make moves. They gain practice with basic multiplication facts in a fun way, and learn the benefits of throwing a one. An answer sheet is provided and includes accompanying teaching notes with suggestions for supporting learning and …More
This learning activity, ‘Stay on Line’, provides a grid and instructions for a number version of the game Boggle. The game is designed for two players and encourages students to think of complex equations. The accompanying teaching notes include suggestions for supporting learning and further exploration.
As students play this learning activity game, ‘Steeplechase’, they learn to use multiplication facts as well as rounding and addition skills. The race is run by moving counters around the board as numbers are multiplied and rounded up to the nearest ten. An answer sheet is provided and includes accompanying teaching notes with suggestions for …More
In this engaging learning activity, ‘Stepping Out’ students use skip counting and multiplication to help animals cross a river. An answer sheet is provided and includes accompanying teaching notes with suggestions for supporting learning and further exploration.
This learning activity, ‘Sticky Moments’, encourages students to build various stick patterns and look for systematic counting strategies to work out the total number of sticks in each pattern. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
In this learning activity, ‘Stockpot Power’ students use multiplication to help three children work out how to use their magic stockpots. An answer sheet is provided and includes accompanying teaching notes with suggestions for supporting learning and further exploration.
This graphic organiser, ‘Story Problem Sorting Maps’ asks students to write and sort information to show relevant and irrelevant information in story problems.
This addition template, ‘Symbol Recognition’ can be reproduced for classroom use.
This learning activity, ‘Table Time’, features tables of boots sold, tyres serviced, books given away, and theatre tickets sold. Students use the tables to organise number sequences and find patterns. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
Taking Turns’ is a learning activity and learning activity in which students try to figure out the best was to share a limited number of computers in a school. Using the variables provided, students can work together to find solutions to the word problems, then to explore the way computers are shared in their own …More
The learning activity ‘Teething Problems’ contains a variety of short problems for students to solve and discuss. Students need to use a range of strategies to support their thinking. The engaging problems involve a toothbrush, dominoes, and geometric shapes. An answer sheet is provided and includes teaching notes to support learning and further exploration.
In this learning activity, ‘Testing Triangles’, students must arrange the supplied set of triangles so that matching equations sit together. Students can then create their own equation jigsaw using the supplied blank triangles. The accompanying teaching notes provide suggestions for supporting learning.
This number and operations worksheet, ‘The Best Estimate’ allows for practice with estimation. Answer sheet provided with file download.
This fun and engaging learning activity, ‘The Field of 100 Sheep’ uses arrays of colourful sheep to help students find out about patterns that can help them learn basic multiplication facts. An answer sheet is provided and includes accompanying teaching notes with suggestions for supporting learning and further exploration.
In this learning activity, ‘The Pigsty’, students help Jamal calculate how many planks he needs to build a fence around the pigsty. The problems involve combining equal groups to find a total. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
This understanding numbers worksheet, ‘The Sieve of Eratosthenes’ asks students to practise understanding prime numbers.
In the learning activity ‘Tidying Up’, students use tidy numbers and other strategies as they compare ways to carry out efficient additions and subtractions. The learning activity supports an understanding of when and how the tidy numbers strategy of rounding up or down then compensating can help them to solve equations. An answer sheet is …More
How fast do animals travel in the sea? Which sea creatures are fastest and slowest? The learning activity, ‘Time It Right’ asks students to solve word problems by comparing the speeds of different animals. Students then write word problems of their own for classmates to solve. The accompanying answers and teaching notes have suggestions for …More
This learning activity, ‘Time’s Up’, features a multiplication array. Students are asked to use the array to solve equations and find the associated family of facts. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
To and Fro’ is a game for two players that gives students practice in recognising the factors of numbers. Students take turns to roll dice and cover numbers that have the dice number as a factor. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
In the learning activity ‘Too Many Beans!’ students use mental or concrete processes to try out different addition and subtraction strategies. They are encouraged to compare and share the strategies they use with a classmate as they develop an understanding of the relative benefits of different strategies. An answer sheet is provided and includes accompanying …More
This learning activity, ‘Train Talk’, asks students to make trains using Cuisenaire rods. The aim is to explore the relationship between repeated addition and multiplication. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
The learning activity ‘True or False?’ is designed to be used as a short starting point for a lesson. The problems will generate discussion about the way students think about solving problems, and the strategies they can use. An answer sheet is provided and includes teaching notes to support learning and further exploration.
The challenge set by the teacher in ‘Trying Times’ is to work out the 15 times table using several different methods. Students learn from the examples given then go on to complete their own 15 times table challenge without resorting to familiar vertical algorithms. An answer sheet is provided and includes teaching notes to support …More
The learning activity ‘Up and Down’ is designed to be used as a short starting point for a lesson. The problems will generate discussion about the way students think about solving problems, and the strategies they can use. An answer sheet is provided and includes teaching notes to support learning and further exploration.
This learning activity, ‘Weka Wobble’, introduces the flightless New Zealand birds known as weka. Students work out how many more weka can be brought to Motiuti Reserve and record their addition and subtraction methods on a number line. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
In this learning activity, ‘What Goes Where?’, students find the missing number or sign in a series of number sentences and also use a flow chart to place children into swimming groups. An answer sheet is provided and includes teaching notes with suggestions for supporting learning and further exploration.
This number and operations worksheet, ‘What is the Ratio?’ allows for practice finding ratios in problem questions. Answer sheet provided with file download.
What’s Best?’ is a learning activity and learning activity that asks students to consider more than one way of solving number problems. Students compare the strategies they use, explaining why some strategies work better than others, depending on the numbers involved. An answer sheet is provided and includes accompanying teaching notes with suggestions for supporting …More
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