Mathematics

Term 1 Week 8 Addition and Subtraction

Activities to support the strategy

Students need to recognise and use the terms ‘add’, ‘plus’, ‘is equal to’, ‘take away’, ‘minus’ and ‘the difference between’ to describe addition and subtraction. They also need to record number sentences using drawings, numerals, symbols and words. Students need opportunities to both pose and solve problems in addition and subtraction.

In stage 1 the syllabus focuses on developing a range of mental strategies and informal recording methods for addition and subtraction. The following activities assist students in making connections between counting and addition and subtraction strategies and provide students with opportunities to demonstrate their understanding of place value and how numbers can be combined and partitioned.

It is important to present number sentence problems to students horizontally e.g. 34 + 49 =, this assists students in reading the numbers from left to right and will develop their understanding of place value and of how to read numbers. This will also provide students with opportunities to look at the whole number, not just the digits, assisting students with estimating the solution.

Big Picture Idea: Use mathematical language & concrete materials to discuss, represent & record simple addition & subtraction problems

Background Information: Background Information: It is appropriate for students in Stage 1 to use concrete materials to model and solve problems, for exploration and for concept building. Concrete materials may also help in explanations of how solutions were obtained.

Students need to understand the different uses for the = sign, eg 4 + 1 = 5, where the = sign indicates that the right side of the number sentence contains 'the total amount' and should be read to mean 'equals', compared to a statement of equality such as 4 + 1 = 3 + 2, where the = sign should be read to mean 'is the same as'.


*****Make it-say it-draw it-write it*******


Language: Students should be able to communicate using the following language:


counting on, counting back, combine, plus, add, take away, minus, the difference between, total, more than, less than, double, equals, is equal to, is the same as, number sentence, strategy.

The word 'difference' has a specific meaning in this context, referring to the numeric value of the group. In everyday language, it can refer to any attribute. Students need to understand that the requirement to carry out subtraction can be indicated by a variety of language structures. The language used in the 'comparison' type of subtraction is quite different from that used in the 'take away' type.

Activity 1 – language of mathematics

The Herrington Think Board is one way to organise and solve problems with students that also focuses on the language of mathematics.

  • A process for understanding mathematics by Sue Gunningham (PDF 422.58KB) .

  • For example, the teacher can supply the story “Mary had five oranges, Tom took two away, how many oranges does Mary have left?”

  • Students can then draw a picture of the story, use objects such as counters or play dough to create and work out the problem, then record a number sentence that matches the story.

  • To focus on the language, provide students with the number sentence and ask them to write a story to match.

View/print – think board template (PDF 37.99KB)

Activity 2 – warm up activities

Short, focused, frequent activities are great ways to start or conclude a mathematics lesson. They are an opportunity to repeat skills that need to be practised.

Roll two dice and add

This is a whole class activity where students sit in a circle and two six-sided dice are thrown. Students share strategies for adding the numbers together. This activity can be played using subtraction and can be extended by changing the dice to eight- or ten-sided dice or by adding in a third dice. The third dice will provide opportunities for students to look for doubles, or friends of ten or to use known facts.

Calendar addition

Students find today's date on the calendar, count how many days until the end of the month and work out the date 10 days later. Students explain strategies for their addition.

Hand addition pairs

Write a number on the board (less than 20). In pairs students make the number and record their combination. Ask how else they can make it.

Hands up

Students are asked to come out the front and make a two-digit number e.g. 24 with their hands. Students soon realise they will need two others to help them. Do the same for another two-digit number e.g. 27. Students then discuss how to add the numbers e.g. grouping all the tens together then adding the ones, they will be able to make an extra ten from the 4 and 7, so the student with seven fingers up changes to ten (and joins the other tens) and the student with four changes to one. This activity assists students in understanding the place value of tens and ones and how to re-unitise numbers. You can record students’ strategies as they are explaining what they are doing. You can then move on to representing the numbers using unifix cubes in sticks as tens and loose blocks as ones. These strategies assist students in visualising the numbers.

Activity 3 – make 100

The teacher removes the picture cards (kings, queens, jacks) from a standard pack of playing cards. The Ace is used to represent one. In small groups, each student is dealt six cards. The aim of the activity is to add all six card numbers together to make the closest total to 100 (but no greater than 100). Each student can nominate one of their cards to be a 'tens' card.

For example, if the student was dealt

they could nominate the 7 card to have the value 70 and add the remaining cards for a total of 93. They should be encouraged to record their calculations and share their strategies.

Activity 4 – finding the difference

Students are given a number sentence with a missing element (using numbers less than 20) e.g.

Using unifix cubes, students work in pairs to make towers to represent the 13 and 5. They then compare the towers to work out the difference between the two towers. As a follow on activity, you can have students make the number differentiating between tens and ones using two colours. This will link to bridging to ten strategies.

Activity 5 – using a number line for difference

Use a 1 to 100 number line (commercially made, drawn on the board, created on the IWB or simply use a tape measure/one metre ruler). Mark the place of two numbers, for example 32 and 41 Have students come out and work out the difference between the two numbers. Be aware that although we generally relate difference to subtraction, some students will use a ‘count on’ not ‘count back’ strategy to solve the problem and therefore it can be related to addition as well. Have students write number sentence to match the working out.

  • e.g. 41 – 32 = 9

Students can also write sentences using words to describe the working out. e.g. 'The difference between 32 and 42 is ten, so the difference between 32 and 41 must be nine.'

Linking to other strands

The concept of difference can also be explored when learning about length. Students can compare lengths and discuss the difference between the objects- either informally (for example, using paper clips) or formally (for example using centimetres).

“The ruler is longer than the pen. The rule is 12 cm and the pen is 9 cm. There is 3 cm difference between the objects.

Online resources

Equality:http://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/continuum/Pages/equalsign25.aspx

or Start as the unknown quantity. Select the facts to practice.

iPhone/iPad apps