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RECEPTION MATHEMATICS

2013

Fisk Street Primary School – Fleming Mathematics

1 Mathematics Planner Reception

Mathematics at Fisk Street is a designated two hour block which must contain the following elements:

Mathematics Warm Up (including skills to be automatized from lessons)

Explicit Lessons (one - two lessons daily from weekly planner)

Direct Instruction – Junior/Elementary Maths Mastery

Maths Mentals (or Beat the Clock for Reception Students)

Portfolio Assessment Tasks – (one task conducted fortnightly to assess student progress)

Problem Solving (explicit lesson and practice time)

Plough back (sharing of highlights and revisiting lesson concepts)

In 2012 as part of the Australian Curriculum Development Days Fisk Street Primary Staff developed the Assessment Grids for Mathematics. Teachers are expected to keep stringent assessment checklists of student progress using the following codes:

Automatised (answered on a click test)

Fluent (has developed the skill)

Consolidating (still developing)

Leadership will meet with teachers to discuss student progress using the Assessment Grids, Achievement Standards for reports and the Student Portfolios in mathematics regularly at Year Level Meetings in 2013.



Reception – Term 1

Structure / Working Mathematically

Counting Place Value Operations Space Measurement/ Chance and Data

Automatic Knowledge

1

Numbers to 10 Clapping/hopping a specific number e.g. hop 6 times, jump 3 times. Numbers to 10 Numeral formation

Groups Identifying numbers of objects in a group by counting. Relating this to a number chart

Identifying shapes Identifies shapes in the environment Naming shapes Recognise and name basic shapes – Introduce circle, rectangle, square, oval, triangle & diamond.

Longer and shorter Draws an object that is longer, shorter and same length as another object Mass Identifies things that are lighter and heavier.

Count forwards by 1s to 20 Count back from 10 Count collections to 10 and beyond using one to one correspondence Write numerals 0-10

2

Subitise Dot plates/dice/dominoes Recognise the configurations for the numbers to ten.

Numbers to 0-10 Recognise, read and write numbers to 10 Matching Match objects to an equivalent group Eg 5 counters to the numeral, 3 pictures to the numeral.

Naming shapes Recognise and name basic shapes – Revise circle, rectangle, square, oval, triangle & diamond.

Size comparison Compares the size of objects.

Count forwards by 1s to 20 Count back from 10 Uses the name and symbol for zero Count collections to 10 and beyond using one to one correspondence




3 Number conservation Recognising that 10 objects in a line are the same as 10 objects in a group. Guess and check Estimate the number of objects in a group and check.

Numbers 0-10 Recognise and write numbers to 0-10 Matching Match objects to an equivalent group Eg 8 counters to the numeral, 6 pictures to the numeral.

Name other 2D shapes pentagon, hexagon, octagon, septagon, nonagon, octagon

Comparative language Uses comparative language to describe capacity Language of measurement Recognises when a container is full, half full or empty

Count forwards 20 Count back from 10 Counts backwards from a given number (under 10) to 0 Subitise – recognise configurations for the numbers to 10

4

Tens Frame Recognise numbers in different arrangements.

Addition Represents an addition problem using actions or drawings. Introducing number sentences supported by pictures.

Shapes patterns Make patterns with these shapes.

Graphing Organises pictures into a data display eg pictograph

Count forwards to 30 Count backwards by 1s from 12 Recognise and correct counting errors




5

Tens Frame Recognise numbers in different arrangements. Eg introducing counting on So 5 in a row know that is 5 and count on.

Bigger/Smaller Identify numbers that are larger and smaller. Eg Groups of counters. Order playing cards Before and after Numbers before and after a given number up to 20

Addition Represents an addition problem using actions or drawings. Revise number sentences supported by pictures.

Shapes patterns Make patterns with these shapes. Sorting shapes according to their attributes Basic 2D shapes. (Circle, rectangle, square, oval, triangle, diamond, pentagon, hexagon, octagon)

Comparative language Uses comparative language to describe and measure length of objects eg tallest, highest, lowest, shortest, lowest, widest

Count forwards to 30 Backwards by 1s from 12 Numbers before and after a given number.

6

Numbers to 10 Represents numbers to 10 using numerals, words and symbols Smallest to largest Orders a set of numbers from smallest to largest Sequencing numbers Smallest to largest 0-20

Before and after Numbers before and after a given number. Number line Make a number line on floor, what comes before/after a given number to 20.

Addition Represents an addition problem using actions or drawings. Revise number sentences supported by pictures.

Naming 3D shapes Introduce some 3D shapes Use informal names for 3D objects eg box, ball Describe and sort shapes using everyday language

Day and Night Describes daytime and nighttime. Language of time Uses the terms morning, afternoon, before and after, yesterday, today, tomorrow

Count forwards to 40 Backwards by 1s from 15 Numbers before and after a given number.




7

Tens frames Using tens frames for simple addition (link to ten facts)

Before and after Numbers before and after a given number. Number line Make a number line on floor, what comes before/after. Use a number line to 20

Addition Represents an addition problem using numeral alongside pictures. E.g Write number sentence below pictures.

Location words Use and understands simple everyday location words eg up, down, over, on, beside, under, in, out, through

Time Matches events to the time of the day eg breakfast: morning Seasons/Months Identify what we do in each season Time Uses informal units to compare duration of events

Count forwards to 40 Backwards by 1s from 20 Count by 10’s to 100. Numbers before and after a given number.

8 Number patterns Create and describe simple number pattern

Use models to develop part-whole relationships. Develop simple number facts Eg using dominoes with 5 dots at one end and a blank end, how many dots do we need to make 7?

Shape patterns Recognise and continue simple shape patterns Location words Use and understands simple everyday location words eg up, down, over, on, beside, under, in, out, through

Time Uses language to compare and describe time Eg it took a long time to drive to the snow. It took a short time to drive to school. Introduce O’clock times Analogue clock times

Count forwards to 40 Backwards by 1s from 25 Count by 10’s to 100. Numbers before and after a given number. Know some simple tens facts (10+0, 1+9, 5+5)




9

Ordering numbers Writes numbers in order 0-20 when presented with jumbled up numbers Can make and order representations of numbers with unifix cubes

Part-whole relationships Addition Models different combinations of 10 to develop part-whole relationships Eg 6 & 4 make 10

Positional language Uses everyday language to describe position and follows simple directions Describes position of objects in relation to other objects

Time Tells the o’clock time on analogue and digital clocks

Counts forwards to 50 Backwards by 1s from 30 Count by 10’s to 100. Days of the week Know some simple tens facts (10+0, 1+9, 5+5)

10

Ordering numbers Writes numbers in order 0-20 when presented with jumbled up numbers Can make and order representations of numbers with unifix cubes Introduce Odd and Even numbers to 20-

Part-whole relationships Making teen numbers. Using a stick of 10 cubes to model one ten and using cubes to represent ones.

Part-whole relationships Addition Models different combinations of 10 to develop part-whole relationships Eg 6 & 4 make 10

Days of the week Names days of the week, identifies weekdays and weekend Relating time to lives Relates the days of the week to events in their own life

Counts forwards to 50 Backwards by 1s from 30 Count by 10’s to 100. Days of the week Know some simple tens facts (10+0, 1+9, 5+5) Records simple number facts




11 Ordering numbers Writes numbers in order 0-30 when presented with jumbled up numbers Can make and order representations of numbers with unifix cubes Counting back Counting backwards by ones to solve simple subtraction problems eg 5 pegs, take away 1 peg = Introduce Odd and Even numbers to 20-

Part-whole relationships Making teen numbers. Using a stick of 10 cubes to model one ten and using cubes to represent ones.

Part-whole relationships Subtraction Models different combinations of 10 to develop part-whole relationships Eg 10 apples, takeaway 6 apple makes 4 apples

Three-dimensional shapes Name simple three-dimensional shapes.

Mass Use comparative language to compare and describe mass. Use light and heavy.

Counts forwards to 70 Backwards by 1s from 35 Count by 10’s to 100. Count backwards by 10’s 100. Know some simple tens facts (10+0, 1+9, 5+5) Recognises left and right Days of the week




1

Number patterns Revisit number patterns such as counting by 10’s on a hundreds chart Part-whole relationships Uses materials to model different combinations to 10 developing part-whole relationships Eg making ten with 5 white unifix and 5 black or 2 blue and 8 yellow.

Tens frames Makes and names models of numbers to 20 using tens frames Eg 12 counters on the tens frame, how many more to make 20?

Part-whole relationships Subtraction Models different combinations of 10 to develop part-whole relationships Eg 10 apples, takeaway 6 apple makes 4 apples

Maps Follows short paths on simple drawings and models eg matching dog to kennel, drawing a simple map of how to get to the canteen Directional language Follows simple directions eg skip to the door, turn to left, hop to table, turn around

Capacity Measuring capacity using spoonfuls of water to fill egg cup, tea cup and bowl

Counts forwards to 70 Backwards by 1s from 40 Count by 10’s to 100. Count backwards by 10’s 100. Count by 5’s to 50 Recognises left and right Ten facts Days of the week

2

Number patterns Investigates number patterns such as counting by 5s and revise 10s on a hundreds chart Introduce Odd and Even numbers to 20-

Ordinal number To sixth

Counting strategies Addition & Subtraction Uses counting on and counting back to solve simple addition and subtraction number facts represented by pictures and mentally to 20

Patterning Can draw the next shape in a shape pattern and continue the pattern Can describe the pattern eg 2 blue counters, 1 red, 3 yellow, 2 blue …..

Length Estimating and checking length using string and paper strips Identify and name months of year.





3

Part-whole relationships Uses materials to model different combinations to 10 developing part-whole relationships Eg making ten with 5 white unifix and 5 black or 2 blue and 8 yellow.

Ordinal number To tenth

Addition Continue addition using vertical equations (no regrouping, 1-2 digits only)

Congruent shapes Congruent shapes, using direct comparison to find and make identical shapes.

Graphing Collects data and makes and interprets simple graphs Eg weather during the week, favourite colours Identify and name months of year.


4

Mental strategies Using simple mental strategies in games situations eg noughts and crosses

Tens frames Makes and names models of numbers to 20 using tens frames Eg 12 counters on the tens frame, how many more to make 20? Beginning to read and understand 3 digit numerals.

Addition Continue addition using vertical equation (no regrouping, 1-2 digits only) Operations – Problem Solving Choosing an appropriate strategy using number sentences.

Shape: Tangrams Fitting shapes together. Use simple tangrams Eg cutting sandwiches into squares, triangles Use pattern blocks and outlines

Time Introduce half past on analogue and digital clocks Identify and name months of year.

Counts forwards to 100 Backwards by 1s from 45 Count by 10’s to 100. Count backwards by 10’s 100. Count by 5’s to 100 Count by 2’s to 20 Recognises left and right Ten facts Days of the week




5 Calculators Use calculators for skip counting eg 1+1= and continue to press equals button Complete for 5s, 10s, 2s

Beginning to read and understand 3 digit numerals.

Operations- Problem solving Choosing an appropriate strategy using number sentences.

Symmetry Finding the line of symmetry from a given picture/pattern. Create a picture/pattern with a line of symmetry

Length Estimating and checking length using string and paper strips. Identify and name months of year.

Counts forwards to 100 Backwards by 1s from 45 Count by 10’s to 100. Count backwards by 10’s 100. Count by 5’s to 100 Count by 2’s to 20 Recognises left and right Ten facts Days of the week

6

Number recognition Reading and interpreting numbers up to 50 Matches numerals to the number of objects Makes collections of 20 and matches numerals to the number of objects

Beginning to read and understand 3 digit numerals. Using a place value chart/number expanders etc

Doubles Doubles up to 20, (eg. 10+10) Addition number facts up to 20. Subtraction Introduce- Subtraction up to 20 using vertical equations (no regrouping, 1-2 digits)

3D Shapes Sorts 3D shapes according to features including size and attribute Identifies 3D shapes in everyday life

Measurement Make a picture ruler (teddies, cars etc at even intervals) measure items.

Counts forwards to 100 Backwards by 1s from 45 Addition number facts and Doubles up to 20 Count by 10’s to 100. Count backwards by 10’s from 100. Count by 5’s to 100 Count by 2’s to 20 Recognises left and right Ten facts Days of the week




7

Number Represents numbers using numerals, words and symbols to 50 Odd and Even numbers to 20- (relate to counting by 2’s)

Missing numbers Can determine missing number Eg on snakes and ladders board or 100 number chart Beginning to read and understand 3 digit numerals. Using a place value chart/number expanders etc Identifying thousands, hundreds, tens and ones columns

Addition Recording simple addition using vertical equation (no regrouping, 1-2 digits only) Link clearly to place value charts

3D Shapes Sorts 3D shapes according to features including size and attributes Names 3D shapes accurately

Capacity Comparing capacity by pouring one container to another. Use language of approximation

Counts forwards to 100 Backwards by 1s from 50 Backwards by 5s from 50 Addition number facts and Doubles up to 20 Count by 10’s to 100. Count backwards by 10’s from 100. Count by 5’s to 100 Count by 2’s to 20 Recognises left and right Ten facts Days of the week




8 Number Represents numbers using numerals, words and symbols to 50. Eg draws dots to match in tens frames to represent 16.

Beginning to read and understand 3 digit numerals. Using a place value chart/number expanders etc

Subtraction Subtraction up to 20 using vertical equations (no regrouping, 1-2 digits) Counting backwards from 20 related to subtraction

Flipping and sliding shape Revisit 2D shapes/ features Uses shape and orientation to complete simple jigsaws

Seasons. Relates time to recurring phenomena in own lives Eg Seasons. Draws pictures to correlate with each season Knows season names and features


9

Represents numbers using numerals, words to 100 Eg matches 15 with fifteen and 15 objects

Before and after Determines what number comes before and after a given number Beginning to read and write 3 digit numerals. Using a place value chart/number expanders etc

Addition Continue addition using vertical equation (no regrouping, 1-2 digits only)

Symmetry Recognise symmetry and produces symmetrical designs

Time O’clock Uses the terms half past, o’clock, reads the time on half past and on the hour and matches events to the time of the day Relate clearly to counting by 5’s and fractions half/ whole

Backwards by 5s from 50 Addition number facts and Doubles up to 20 Count by 10’s to 100. Count backwards by 10’s from 100. Count by 5’s to 100 Count by 2’s to 40 Recognises left and right Ten facts Days of the week




10

Estimation Guess and check strategies. Estimate how many objects in a group and count to find out Creates and identifies equal groups of objects Eg how many red balls, how many blue balls.

Beginning to read and write 3 digit numerals. Using a place value chart/number expanders

Subtraction Subtraction up to 20 using vertical equations (no regrouping, 1-2 digits)

Area Uses objects to fill an area, eg. 10 books fill the table top. Estimating and checking

Time O’clock Uses the term o’clock, reads the time on the hour and matches events to the time of the day. Draws in the missing hour hand when given a clock and a time Eg 9 o’clock.





1

Money Identifies and recognises different coins and notes. Can match price tag with coin eg 5c with a 5c coin Ordering the value of money.

Beginning to read and write 3 digit numerals. Using a place value chart/number expanders etc

Multiplication-Grouping Making equal groups and counting altogether. Eg. 4 x 2 4 groups of 2 Visual representation


Chance and probability Being aware that different results are possible for same event. Uses language of chance associated with certainty and uncertainty Eg will happen, might happen, won’t happen


2

Money Names value of coins and notes Ordering the value of money.

Place Value Beginning to solve and write addition and subtraction equations in the correct columns (T, O - no regrouping)


Tangrams Using shapes to make pictures

Counts forwards to 100 Backwards by 1s from 100 Backwards by 5s from 100 Addition number facts and Doubles up to 30 Count by 10’s to 100. Count backwards by 10’s from 200. Count by 5’s to 100 Count by 2’s to 50




3 Money Basic addition of money amounts eg 5c plus 5c, 20c plus 20c Recognise $1 is 100 cents Relate back to counting – 5’s and 10’s



4

Money Counting with money Basic addition of money amounts eg 5c plus 5c, 20c plus 20c Recognise $1 is 100 cents Relate back to counting – 5’s and 10’s

Addition Continue and extend addition using vertical equations (no regrouping, 2 digits) Use different words such to describe addition. Solve problems using pictures and concrete materials

Informal units of measure Measuring with informal units of length. Using feet, hands, paperclips, gluesticks etc. measure items around the room

Counts forwards to 100 Backwards by 1s from 100 Backwards by 5s from 100 Count by 10’s to 200. Count backwards by 10’s from 100. Count by 5’s to 100 Count by 2’s to 50 Recognises left and right Ten facts Days of the week




5

Money Counting with money Shopping Exchanges money for goods Counting backwards from 20 related to subtraction

Subtraction Continue and extend subtraction using vertical equations (no regrouping, 2 digits)

3D objects Sort 3D shapes and describe them using everyday objects. Use cylinder, sphere, cube, cone labels accurately

Length Beginning to use formal unit of measure cm. Measures the length of items accurately with a ruler.


6 Mental operations Mentally adding and subtracting one

Ordering numbers Ordering, writing and reading 4 digit numbers

Multiplication Revise groups of. Create number stories using objects

Digital and analogue time Reads time on the hour and half hour using digital and analogue clocks Graphing Reading a bar graph. Using displays to make simple comparisons

Counts forwards to 100 Addition number facts and Doubles up to 40 Count by 10’s to 200. Count backwards by 10’s from 100. Count by 5’s to 100 Count by 2’s to 100 Recognises left and right Ten facts Days of the week




7

Skip counting Skip counting from a given number


Division Shares blocks between children Sorts party hats, straws, plates for a party uses language such a sharing between and left over

Basic fractions – wholes and halves

Graphing Reading a bar graph. Using displays to make simple comparisons


8

Exploring calculators Calculator patterns Calculator play to reveal patterns Eg 1+1 = and continue pressing equals. 2+2= and keep pressing equals.



Basic fractions – wholes and halves. Introduce quarters.

Position and direction. Uses words such as near, far, above, up, away, forwards, under, over, on to describe terms such as distance and terms such as near and far. Eg the playground is up on the hill. It is near the BBQ.

Backwards by 5s from 100 Addition number facts and Doubles up to 40 Count by 10’s to 200. Count backwards by 10’s from 100. Count by 5’s to 100 Count by 2’s to 100 Recognises left and right Ten facts Counting by 3’s to 30




9

Calculators skip counting and check answers


Operations Using simple worded problems identify operation using simple addition and subtraction.

Comparing areas Identify shapes that have the biggest area. Measure area of books, leaves etc using blocks.

Comparing mass By hefting and using a balance scale. Uses comparative language such as heavier than, lighter than Conservation of mass – big objects are not necessarily the heaviest

Counts forwards to 100 Backwards by 1s from 100 Backwards by 5s from 100 Addition number facts and Doubles up to 40 Count by 10’s to 200. Count backwards by 10’s from 100. Count by 5’s to 100 Count by 2’s to 100 Recognises left and right Ten facts Counting by 3’s to 30

10

Estimation Guess and check strategy of up to 20 objects

Division. Shares blocks between children. Sets table for dinner sharing a collection of knives, forks, plates and cups

Operations Using simple worded problems identify operation using simple addition and subtraction.

Temperature Distinguishing between hot and cold, sort objects according to temperature Read simple thermometers Relate clothes choice to temperature





1

Money Identifies and recognises different coins and notes. Can match price tag with coin eg 5c with a 5c coin Ordering the value of money.

Beginning to read and write 3 digit numerals. Using a place value chart/number expanders etc



Chance and probability Being aware that different results are possible for same event. Uses language of chance associated with certainty and uncertainty Eg will happen, might happen, won’t happen


2

Money Names value of coins and notes Ordering the value of money.

Place Value Beginning to solve and write addition and subtraction equations in the correct columns (T, O - no regrouping)


Tangrams Using shapes to make pictures

Counts forwards to 100 Backwards by 1s from 100 Backwards by 5s from 100 Addition number facts and Doubles up to 30 Count by 10’s to 100. Count backwards by 10’s from 200. Count by 5’s to 100 Count by 2’s to 50




3 Money Basic addition of money amounts eg 5c plus 5c, 20c plus 20c Recognise $1 is 100 cents Relate back to counting – 5’s and 10’s



4

Money Counting with money Basic addition of money amounts eg 5c plus 5c, 20c plus 20c Recognise $1 is 100 cents Relate back to counting – 5’s and 10’s

Addition Continue and extend addition using vertical equations (no regrouping, 2 digits) Use different words such to describe addition. Solve problems using pictures and concrete materials

Informal units of measure Measuring with informal units of length. Using feet, hands, paperclips, gluesticks etc. measure items around the room

Counts forwards to 100 Backwards by 1s from 100 Backwards by 5s from 100 Count by 10’s to 200. Count backwards by 10’s from 100. Count by 5’s to 100 Count by 2’s to 50 Recognises left and right Ten facts Days of the week




5

Money Counting with money Shopping Exchanges money for goods Counting backwards from 20 related to subtraction

Subtraction Continue and extend subtraction using vertical equations (no regrouping, 2 digits)

3D objects Sort 3D shapes and describe them using everyday objects. Use cylinder, sphere, cube, cone labels accurately

Length Beginning to use formal unit of measure cm. Measures the length of items accurately with a ruler.


6 Mental operations Mentally adding and subtracting one


Multiplication Revise groups of. Create number stories using objects

Digital and analogue time Reads time on the hour and half hour using digital and analogue clocks Graphing Reading a bar graph. Using displays to make simple comparisons

Counts forwards to 100 Addition number facts and Doubles up to 40 Count by 10’s to 200. Count backwards by 10’s from 100. Count by 5’s to 100 Count by 2’s to 100 Recognises left and right Ten facts Days of the week




7

Skip counting Skip counting from a given number



Basic fractions – wholes and halves

Graphing Reading a bar graph. Using displays to make simple comparisons


8

Exploring calculators Calculator patterns Calculator play to reveal patterns Eg 1+1 = and continue pressing equals. 2+2= and keep pressing equals.



Basic fractions – wholes and halves. Introduce quarters.

Position and direction. Uses words such as near, far, above, up, away, forwards, under, over, on to describe terms such as distance and terms such as near and far. Eg the playground is up on the hill. It is near the BBQ.




Reception Achievement Standards Teacher Checklist – Term 1

A = Automatised

F = Fluent C = Still Consolidating

Student Names

Says number names

Knows numerals

Counts quantities up to 10

Makes connections between number names & numerals and quantities up to 10

Compares shapes and objects

Sorts shapes and objects

makes connections between events and the days of week




A = Automatised


Student Names

Says number names

Knows numerals









A = Automatised


Student Names

Says number names

Knows numerals









A = Automatised


Student Names

Says number names

Knows numerals






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