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3B: Calculations

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Planning notes

Level/Framework stage/Group: CIPP Stage 3/ NZ Maths Level 2

CIPP LOs to be covered: 3Nc1 Extend understanding of addition and subtraction, 3Nc2 Add three or four single-digit numbers mentally, or three or four two-digit numbers using apparatus or pencil and paper, 3Nc3 Know addition and subtraction facts for each number to 20, all pairs of multiples of 100 with a total of 1,000, 3Nc4 Calculate quickly all pairs of mulitples of five with a total of 100, 3Nc5 Add/subtract three-digit numbers using pencil and paper procedures, 3Nc6 Extend understanding of multiplication and division, 3Nc7 Recognise that division is the inverse of multiplication, 3Nc8 Begin to find remainders after simple division, 3Nc9 Round up or down after division when necessary, 3Nc10 Know multiplication facts for the 2, 5, and 10 times tables and begin to know the 3 and 4 times tables, 3Nc11 Calculate quickly division facts related to the 2, 5 and 10 times tables, 3Nc12 Know doubles of numbers to at least 20, 3Nc13 Know doubles of mulitples of 5 to 100, 3Nc14 Know dubles of multiples of 50 to 500, 3Nc15, Check results of calculations by repeating addition in a different order or with an equivalent calculation

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Smart doubling

Level Two
Number and Algebra
Units of Work
In this unit students are encouraged to abandon counting methods, in favour of using known doubles facts, to derive the answers to addition problems. Using doubles is more complex but more efficient.
  • Be able to recall instantly doubles from 1 + 1 to 9 + 9.
  • Use known doubles facts to work out addition problems mentally using part/whole reasoning.
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Compatible numbers to ten

Level One
Level Two
Number and Algebra
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number properties. Some of these activities would be suitable for homework. Others require follow-up during teaching sessions.
know compatible numbers to 10
use <, >, and = symbols
solve addition problems using compatible numbers to 10
solve word problems using basic facts
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Number Cards

Level Two
Number and Algebra
Numeracy activities
In this activity the students play a card game to practise their addition and subtractions facts.

create and solve number problems using the basic operations of addition and subtraction.

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Number Mats and Number Fans

Level Two
Level Three
Number and Algebra
Numeracy activities

Recall addition and subtraction facts to 20.

Recall the multiplication and division facts for the multiples of 2, 3, 5, and 10.

Recall multiplication to 10 x 10, and the corresponding division facts.

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Multiplication Flash Cards

Level Three
Number and Algebra
Numeracy activities

Recall the multiplication and division facts for the multiples of 2, 3, 5, and 10.

Recall multiplication to 10 x 10, and the corresponding division facts.

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Loopy

Level Two
Level Three
Number and Algebra
Numeracy activities

Recall addition and subtraction facts to 20.

Recall the multiplication and division facts for the multiples of 2, 3, 5, and 10.

Recall multiplication to 10 x 10, and the corresponding division facts.

 

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Total Recall

Level Two
Level Three
Number and Algebra
Figure It Out activities
This is a level 2 and 3 number activity from the Figure It Out series. It relates to Stage 5 and 6 of the Number Framework.

practise basic facts

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Subtraction Game

Level Two
Number and Algebra
Numeracy activities
This game allows students to practice their subtraction skills.

recall basic subtraction facts

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Bridges

Level Two
Number and Algebra
Numeracy activities

Recall addition and subtraction facts to 20.

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Number Boggle

Level One
Level Two
Number and Algebra
Numeracy activities

Recall the number of 10s within decades and decades that add to 100.

Recall addition and subtraction facts to 20.

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Ten Sweets Per Packet

Level One
Number and Algebra
Numeracy activities

Solve addition and subtraction problems with decade numbers by counting tens in their heads.

Recall the facts up to 10, and the teen facts.

Recall the number of 10s within decades and decades that add to 100.

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Greedy Pig

Level Two
Number and Algebra
Numeracy activities
This activity provides students with a fun, game context in which to practice their addition skills. It also introduces concepts of probability.

perform addition calculations using numbers 1-6

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Comparisons

Level Two
Number and Algebra
Numeracy activities

Recall addition and subtraction facts to 20.

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Pigs and ducks

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (all operations) focus.
  • Solve a story problem using multiplication facts of 2 and 4.
  • Devise and use problem solving strategies (guess and check, guess and improve, act it out, draw a picture).
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Reverse Percentage Problems

Level Five
Number and Algebra
Numeracy activities

Estimate and find percentages of whole number and decimal amounts.

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Doubling and halving

Level Four
Number and Algebra
Secondary activities
These activities are designed to teach doubling and halving strategies.
solve problems using doubling and halving
identify problems that could be solved using doubling and halving
solve problems using trebling and thirding
generalise the doubling and halving strategy using algebraic notation
list factors of numbers
 
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Egyptian Multiplication

Level Four
Number and Algebra
Figure It Out activities
This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. A PDF of the student activity is included.

explore a multiplication strategy

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Multiplication Flash Cards

Level Three
Number and Algebra
Numeracy activities

Recall the multiplication and division facts for the multiples of 2, 3, 5, and 10.

Recall multiplication to 10 x 10, and the corresponding division facts.

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Number Relations

Level Three
Number and Algebra
Units of Work
This unit of work investigates how relational thinking is applied to number operations.

Students will learn

  • To use relational thinking as a basis for a range of number strategies.
  • To explain number strategies using materials and diagrams.
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Getting partial

Level Two
Number and Algebra
Units of Work
In this unit we explore fractions of regions as well as fractions of sets. We look for, and develop understanding of, the connection between fractions and division.
  • Find fractions of regions.
  • Find fractions of sets.
  • Identify equivalent fractions.
  • Locate fractions on a number line.
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Target 15.287

Level Four
Number and Algebra
Numeracy activities
To give students practice in adding numbers from one up to ones of thousands or decimal numbers from thousandths to ones. This is a whole class game but can be played in small group situations where they can take turns to roll the die. Both cards can be played at the same time which caters for...

use their knowledge of the place value structure to add decimals together.

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Decimal Calculator Numbers

Level Four
Number and Algebra
Numeracy activities
The purpose of this activity is to work out a hidden number on a calculator using knowledge of number sequence.

use their knowledge of decimal number sequence order decimals.

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Money and Percentage

Level Five
Number and Algebra
Units of Work
In this unit we highlight the terms and concepts associated with money and percentages by exploring money and percentages in a variety of real life contexts. This unit is concerned with applications of percentages more than learning how to calculate percentages. For more on calculating percentages...
  • Explain the use of percentages in day to day living.
  • Explain concepts such as GST, commission, discount, bonus, net pay, gross pay, PAYE and use these concepts in applied problems.
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Missing Number Bingo

Level Three
Number and Algebra
Numeracy activities
To practice counting forwards and backwards with decimal numbers. This is a whole class game but can be played in small group situations where they can take turns to call the numbers. Both cards can be played at the same time which caters for differing students’ needs.

order tenths (decimals)

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Pathways

Level Three
Number and Algebra
Figure It Out activities
This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework. A PDF of the student activity is included.

use basic facts and mental strategies to solve problems

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Percentage Increases & Decreases in One Step

Level Five
Number and Algebra
Numeracy activities

Estimate and find percentages of whole number and decimal amounts.

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Shaping Up (level 3)

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.
  • Apply the features of two dimensional shapes to solve puzzles.
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Compatible Numbers

Level Two
Number and Algebra
Numeracy activities

Solve addition problems by using compatible numbers.

The files will download as a zip archive. Double-click on the archive file to extract the attachments on your computer.