1st grade math

Program of study for 1st grade

The CCSS core curriculum for 1st grade covers a range of categories, including:

• Number and place value
  Students learn how to read, write, order, and compare numbers up to 100. They also learn how to count forwards and backwards in steps of 2, 3 and 5.

• Addition and subtraction
  Using number bonding and otherwise, students learn how to add and subtract whole numbers with up to 2 digits. They study number bonding up to 100.

• Multiplication and division
  Students consider multiplication via repeat addition. They are introduced to division by dividing objects into groups. Students learn how to multiply and divide whole numbers by 2 and 10. They are introduced to the two, five and ten times tables.

• Fractions
  Students are introduced to the concept of fractions. They learn to recognize and name halves and quarters, understanding that they represent parts of a whole or a set. They learn to calculate half a number and a quarter of a number.

• Measurement
  Students learn to measure using appropriate units, compare and order measurements, and solve simple measurement problems. They also begin to understand the concept of time, including telling time to the hour and half-hour.

• Shapes
  Students identify 2D and 3D shapes by name. They study some properties of 2D shapes including the number of sides and corners.

• Position & direction
  Students begin to explore shapes that are rotated through a quarter, a half or three-quarters.

• Statistics
  Students explore pictographs, tally charts and block diagrams and use them to identify facts.

In addition to these specific categories, pupils also develop their ability to solve real life problems using the mathematical principles they have been introduced to.

• Count down from 75 to 50
  
  Count down from 75 to 50 using whole numbers
• Count down from 100 to 75
  
  Count down from 100 to 75 using whole numbers

• Count in steps of 2 to 50
  
  Count up in steps of 2 to 50 using whole numbers
• 2 step number line to 50
  
  Count up in steps of 2 to 50 using a number line
• Count down in steps of 2
  
  Count down in steps of 2 from 50 using whole numbers

• Count in steps of 3 through 50
  
  Count up in steps of 3 from 3 through 50
• 3 step number line to 50
  
  Count up in steps of 3 through 50 using a number line
• Count down in steps of 3
  
  Count down in steps of 3 from 48 using whole numbers

• Count in steps of 5
  
  Count up to 50 in steps of 5 using whole numbers
• 5 step number line to 50
  
  Count up in steps of 5 to 50 using a number line

• Number names to digits: 10 to 50
  
  Match the names of numbers to the correct digits for numbers from 10 to 50
• Digits to number names: 10 to 50
  
  Read digits from 10 to 50 and choose the matching number name
• Number names to digits: 50 to 100
  
  Match number names to the correct digits for numbers from 50 to 100
• Digits to number names: 50 to 100
  
  Read numbers as digits from 50 to 100 and choose the matching name for the number

• Biggest number: 50 - 100
  
  Choose the biggest of a group of numbers between 50 & 100
• Smallest number: 50 - 100
  
  Choose the smallest of a group of numbers between 50 and 100
• Biggest & smallest number
  
  Choose the smallest & biggest number from groups of numbers between 20 and 100

• Bigger number 50 - 100
  
  Say which number is bigger than the other number
• Smaller number 50 - 100
  
  Say which number is smaller than the other number

• Odd or even?
  
  Choose whether these numbers from 20 to 50 are odd or even
• More odd or even numbers
  
  Are there more odd or even numbers in these groups
• Count even numbers
  
  How many of these numbers from 20 to 50 are even?
• Count odd numbers
  
  How many of these numbers from 20 to 50 are odd?

• Sort numbers to 100 small to large
  
  Pick the correct order of numbers from smallest to largest for numbers from 1 to 100
• Sort numbers to 100 large to small
  
  Pick the correct order for lists of numbers up to 100 from largest to smallest

• Halfway between: 20 to 50
  
  Choose the number halfway between 2 numbers from 20 to 50
• Halfway between: 50 to 100
  
  Choose the number halfway between 2 numbers from 50 to 100

• Smallest amount
  
  Choose the smallest of 3 amounts of money
• Largest amount
  
  Choose the largest of 3 amounts of money
• Smallest to largest
  
  Choose the correct order for amounts of money from smallest amount to largest

• Add 3, 4 or 5 each time
  
  Pick the next number in these patterns of adding 3 or 4 or 5 each time
• Subtract 3 or 4 each time
  
  Pick the next number in these patterns of subtracting 3 or 4 each time

• Next shape: 3 shapes
  
  Pick the next coloured shape in each of these patterns of 3 shapes
• Missing shape: 3 shapes
  
  Identify the missing coloured shape in each of the given patterns
• Next shape: arrows
  
  Pick the next arrow in these patterns of arrows in different orientations

• Two times table
  
  Identify the missing numbers in these 2 times table patterns
• Five times table
  
  Identify the missing numbers in these 5 times table patterns
• Ten times table
  
  Identify the missing numbers in these 10 times table patterns

• 10 more: 0 to 20
  
  Pick the number that is 10 more than the given number from 0 to 20
• 10 less: 0 to 20
  
  Pick the number that is 10 less than the given 10 to 20 number
• 10 more: 20 to 50
  
  Pick the number that is 10 more than the given 20 to 50 number
• 10 less: 20 to 50
  
  Pick the number that is 10 less than the given 20 to 50 number

• Units place value: 1-99
  
  Identify the units place value for each of these 2-digit numbers
• Tens place value: 1-99
  
  Identify the tens place value for each of these two-digit numbers

• Two-digit numbers 1-20
  
  Say what each digit represents in terms of tens and units
• Two-digit numbers 20-50
  
  For each number say what each digit represents in terms of tens and units
• Two-digit numbers 50-99
  
  For each number say what each digit represents in terms of tens and units

• Partitioning 2-digit numbers
  
  Identify the value of the green digit by partitioning these 2 digit numbers into tens and units

• Round to nearest 10: to 20
  
  Use place values to round numbers from 5 to 20 up or down to the nearest 10
• Round to nearest 10: to 50
  
  Use place values to round numbers from 20-50 up or down to the nearest 10
• Round to nearest 10: to 100
  
  Use place values to round numbers up to 100 up or down to the nearest 10
• Round to nearest 100
  
  Use place values to round numbers from 50 to 500 to the nearest 100

• Number bonding to 10
  
  Identify the number pairs that bond to 10
• Number bonding to 20
  
  Identify the number pairs that bond to 20
• Number bonding to 15
  
  Identify the number pairs that bond to 15
• Number bonding to 25
  
  Identify the number pairs that bond to 25

• Number bonds: add 1-digit + 2-digits
  
  Use number bonding to add a single-digit number and a double-digit number
• Add 2 double-digit numbers
  
  Use number bonding to add 2 double-digit numbers
• Add 3 two-digit numbers
  
  Use number bonding to add 3 double-digit numbers together

• Add centimetres
  
  Use the scales to add up the lengths in centimetres
• Add metres
  
  Use the scales to add up the lengths in metres

• Missing number: double-digit numbers
  
  What is the missing number in these double-digit plus double-digit addition sums
• Missing answer: double-digit numbers
  
  Work out the missing answer in these double-digit plus double-digit addition sums

• Match additions: single-digit numbers
  
  From 3 single-digit plus single-digit additions, choose the pair of sums that give the same answer
• Match additions: single plus double-digits
  
  From three 1-digit plus 2-digit additions, choose the pair of sums that give the same answer

• One person has more items
  
  Use addition to find out how many items there are in total
• Total cost: 2 items
  
  Use addition to find out how much the 2 items cost in total
• Total cost: 3 items
  
  Use addition to find out how much the 3 items cost in total

• Subtract 1-digit numbers
  
  Subtract a single-digit number from a single-digit number
• Subtract: 2-digits minus 1-digit
  
  Subtract single-digit numbers from double-digit numbers
• Subtract: 2-digits minus 2-digits
  
  Subtract double-digit numbers from double-digit numbers

• Number bonds to 50
  
  Use the stated number bonds to work out the subtraction
• Number bonds to 100
  
  Use the stated number bonds to 100 to work out the subtractions

• Subtract: single-digit problems
  
  Work out the missing number for these single-digit minus single-digit subtractions
• Subtract: 2-digits - 1-digit problems
  
  Calculate the missing answer for these 2-digits minus 1-digit subtractions

• Match subtractions: 1-digit minus 1-digit
  
  Choose the two 1-digit minus 1-digit subtractions that give the same answer
• Match subtractions: 2-digits minus 1-digit
  
  Choose the two 2-digit minus 1-digit subtractions that give the same answer

• Subtract: how many items
  
  Use subtraction to find how many items a person has if you know the total number of items
• Subtract: how many left
  
  Use subtraction to find out the number of items that are left when some items are removed

• Adding 19
  
  Add 19 by adding 20 to a number and then subtracting 1
• Adding 18
  
  Add 18 by first adding 20 to a number and then subtracting 2 from the result

• Adding 21
  
  Add 21 by adding 20 to a number and then adding 1 more
• Adding 22
  
  Add 22 by adding 20 to the number and then adding 2 more

• Subtract 19
  
  To subtract 19 from a number subtract 20 and then add 1
• Subtract 18
  
  Subtract 18 by subtracting 20 from a number then adding 2

• Subtract 21
  
  Subtract 21 by subtracting 20 from a number then subtracting 1 more
• Subtract 22
  
  Subtract 22 by subtracting 20 from a number then subtracting 2 more

• Add and subtract
  
  Add and subtract to find the answer
• Missing addition
  
  Find the missing number for the addition
• Missing subtraction
  
  Find the missing number in these 2 step subtractions

• Checking subtractions
  
  Choose the inverse operations that check these subtractions
• Checking additions
  
  Choose the inverse operations that correctly check these additions

• Doubling numbers to 10
  
  Calculate the number that is double the given number
• Repeat additions
  
  Which repeat addition gives the same answer as the multiplication?

• Count in steps of 2 or 3
  
  Use counting in steps to work out simple multiplications of 2 or 3
• Count in steps of 10
  
  Use counting in steps to work out simple multiplications of 10

• Multiplication of 2 units
  
  Use times tables or repeated addition to calculate these multiplications of 2 single-digit numbers

• Progressive method
  
  Progressive method: choose the addition sum that gives the same answer as the multiplication

• Add then multiply
  
  Work out the answer when you add first and then multiply
• Subtract then multiply
  
  Work out the answer when you subtract first and then multiply
• Multiply then add
  
  Work out the answer when you multiply first and then add
• Multiply then subtract
  
  Work out the answer when you multiply first and then subtract

• Multiplying by 10: add zero
  
  Connect multiplying by 10 and place value by adding a zero to the number to be multiplied
• 2, 5 and 10 times tables
  
  Calculate the answers to these questions from the 2 times, 5 times and 10 times tables
• Times tables problems
  
  Choose the missing number for these 2, 5 and 10 times tables multiplication sums
• Times tables: match answers
  
  Choose the multiplication that matches the given addition e.g. 5 + 5 = 2 x 5

• Divide into 3 groups
  
  If you divide the fruit into 3 groups, say how many fruit will be in each group
• Divide into 5 groups
  
  If you divide the shapes into five equal groups, say how many shapes will be in each group

• Divide by 2
  
  Do the division by two and select the correct answer
• Divide by 5
  
  Do these divisions by 5 and choose the correct answer
• Divide by 10
  
  Do these division by 10 sums and select the correct answer

• One-step problems
  
  Find the answer for these reverse times table divisions
• Match to addition
  
  Which addition sum gives the same answer as the given division?
• Match to subtraction
  
  Which subtraction give the same answer as the given division?

• Add then divide
  
  Work out the answer when you add first and then divide
• Subtract then divide
  
  Work out the answer when you subtract first and then divide
• Divide then add
  
  Work out the answer when you divide first and then add
• Divide then subtract
  
  Work out the answer when you divide first and then subtract

• Division and halves
  
  Choose the division that produces the same answer as half a number
• Halving, doubling
  
  Choose sums that match a half or double a number

• Find the missing answer
  
  Do a multiplication and then a division to find the answer
• Find the missing multiple
  
  Work back from the answer to find the missing multiple for these number machines
• Find the missing divisor
  
  Work back from the answer to find the missing divisor for these number machines

• Words and symbols
  
  Choose the correct missing words or symbols for these multiplication & division sums

• Are the answers the same?
  
  Do these different operations give the same answer?

• Multiplication as inverse of division
  
  Given a division sum, use inverse operations to find the answer to the related multiplication
• Division as the inverse of multiplication
  
  Given a multiplication, use inverse operations to get the answer to the related division
• Multiplication & division
  
  Identify the division sum that is an inverse of each multiplication sum

• Name the fraction shaded red
  
  Select the correct name for the fraction of each shape that is red

• Half of something
  
  Choose the picture which shows half of a thing or quantity
• Quarter of something
  
  Choose the picture that shows quarter of a thing or quantity
• Three quarters of something
  
  Choose the picture that shows three quarters of a thing or quantity
• One third of something
  
  Choose the picture that shows one third of a thing or quantity

• Half of a number
  
  Choose the correct answer for half of each of these numbers
• Quarter of a number
  
  For each number, decide what a quarter of that number will be
• One third of a number
  
  Choose the correct answer for a third of a number

• Number line of halves
  
  Identify the missing fraction values in the number lines
• Number line of quarters
  
  Choose the missing fraction values in the number line of quarters
• Number line of thirds
  
  Identify the missing fraction values in a number line of thirds

• Estimate the weight
  
  Estimate or guess the approximate weight of the objects
• Estimate the length
  
  Estimate or guess the approximate length of these objects and animals
• Estimate the temperature
  
  Estimate or guess the approximate temperature of these things

• Who is taller?
  
  Look at the heights of two people and say who is taller
• Who is shortest?
  
  Look at the heights of 3 players and say who is the shortest
• Half the height
  
  Look at the heights of 4 people including Sam and say who is half the height of Sam
• Order heights from shortest to tallest
  
  Choose the correct order for these heights from shortest to tallest

• Compare lengths
  
  Compare lengths in standard units and choose which items is longer
• Use symbols to compare lengths
  
  Choose a symbol to say if the first length is longer, shorter or equal to the second length
• Order these lengths
  
  Choose the correct order for these lengths from shortest to longest

• Who is heavier?
  
  Look at the weights of two players and say who is heavier
• Which is lighter?
  
  Look at the weights of two objects and say which is lighter
• Double the weight
  
  For each set of items, pick the item that is double the weight of the named item
• Use symbols to compare weights
  
  Choose a symbol to say if A is heavier, lighter or equal in weight to B
• Order these weights
  
  Choose the correct order for these weights from lightest to heaviest

• Words that describe how full or empty
  
  Choose the best words to describe how full or empty the containers are
• Order volumes: smallest to largest
  
  Choose the correct order for these litre and millilitre volumes from smallest to largest

• Which units should you use
  
  Choose the correct units for taking these measurements
• Measure volume in milliliters
  
  Look at the container and choose the correct volume of liquid in it

• On the hour
  
  Use the clock to choose the correct time
• Half past the hour
  
  Use the clock to choose the correct time
• Quarter past the hour
  
  Use the clock to choose the correct time
• Quarter to the hour
  
  Use the clock to choose the correct time

• Who runs the fastest
  
  Compare the times of the runners and find who ran the fastest time
• Which car will arrive later?
  
  Compare departure and journey times and say which car will arrive later
• Arrive am or pm?
  
  Work out whether a family will arrive before midday (am) or after midday (pm)

• Add coins worth up to 10¢
  
  Add up these coins with values up to 10¢ and say how much they are worth in total
• Add coins of any denomination
  
  Identify the value of these sets of coins of any denomination
• Add money in dollars and cents
  
  Add quantities of coins and notes in dollars and cents
• Take away coins worth up to 10¢
  
  Subtract sets of coins with denominations up to 10¢ and say how much is left
• Subtract coins worth up to 50¢
  
  Subtract sets of coins with denominations of up to 50¢ and say how much is left
• Work out the change from $1
  
  Use subtraction to work out how much change there will be from $1 when the item is purchased

• Identify 2-dimensional shapes
  
  Identify the names of each of these two-dimensional shapes
• Identify 3-dimensional shapes
  
  Identify the names of each of these three-dimensional (3D) shapes

• How many sides
  
  Count the number of sides on each of these 2-dimensional shapes

• Count corners, edges, faces
  
  Identify the number of corners (vertices), edges or faces on these 3-dimensional shapes

• 2D shapes by name
  
  From these lists of names of shapes, identify those that are 2 dimensional (2D)
• 3D shapes by name
  
  From these lists of names of shapes identify those that are 3 dimensional (3D)

• Quarter turn clockwise
  
  Pick the shape after it has done a quarter turn clockwise
• Half turn
  
  Pick the shape after it has done a half turn clockwise or anticlockwise
• Three-quarter turn clockwise
  
  Pick the shape after it has done a three-quarter turn clockwise
• Quarter turn anticlockwise
  
  Pick the shape after it has done a quarter turn anticlockwise
• Three-quarter turn anticlockwise
  
  Pick the shape after it has done a three-quarter turn anticlockwise

• Move left
  
  Pick the shape that has moved 1, 2 or 3 squares to the left
• Move right
  
  Pick the shape that has moved 1, 2 or 3 squares to the right

• Pictographs
  
  Use the pictographs to count the number of different fruit that were eaten
• Tally charts
  
  Use the tally charts to count the number of different fruit that were eaten
• Block diagrams
  
  Use the block diagrams to count the number of different fruit that were eaten
• Frequency tables
  
  Use the frequency tables to decide the number of different fruit that were eaten

• Compare categories
  
  Use the pictographs to identify fruit categories with the most, fewest or same number of items
• How many more items
  
  From the pictographs say how many more items a certain category has than another category
• Two to one correspondence
  
  Use pictographs with a two to one correspondence to count the number of people who like different fruit
• Ten to one correspondence
  
  Use these pictographs with a ten to one correspondence to count items in categories

• Most or least
  
  From the tally charts say which category of fruit are eaten most or least
• How many more?
  
  From the tally charts say how many more items a category has than another category