5th grade math

Program of study for 5th grade

The CCSS core curriculum for 5th grade covers a range of categories, including:

• Number and place value
  Students develop a deep understanding of the number system, including place value, ordering and comparing numbers, and rounding.

• Addition, subtraction, multiplication, and division
  Students continue to refine their arithmetic skills and mental calculations. They learn efficient methods for addition, subtraction, multiplication, and division of larger numbers, including long multiplication and long division. They also develop strategies for solving multi-step problems involving these operations.

• Fractions, Decimals, and Percentages
  Students will learn about different types of fractions, such as proper fractions, improper fractions, and mixed numbers. They will also learn how to add, subtract, multiply, and divide fractions. They learn to compare and order fractions and decimals, convert between these forms, and solve problems involving fractions and decimals. They also explore the concept of percentages and their relationship to fractions and decimals.

• Ratio and proportion
  Students learn about ratios and how to express relationships between quantities using ratios. They will also learn how to use ratio and proportion to solve problems including scaling and finding equivalent ratios.

• Measurement
  Students will learn about different units of measurement, such as length, mass, volume, and time. They will also learn how to convert between different units of measurement.

• Geometry & shapes
  Students will learn about the properties of 2D and 3D shapes. They will also learn how to calculate the area and perimeter of 2D shapes, and the volume of 3D shapes.

• Position & direction
  Students study properties of lines including angles, lines of symmetry, and parallel and perpendicular lines. They also explore transformations, such as reflections, rotations, and translations.

• Statistics
  Students will learn about how to collect, organize, and interpret data. Students begin to analyze and interpret data using various graphs and charts, such as bar charts, line graphs, and pictograms. They learn to calculate the mean, median and mode of data sets.

• Algebra
  Students will learn about basic algebraic concepts, such as variables, expressions, and equations. They will also learn how to solve simple algebraic problems.

• Problem-solving
  Students will learn how to solve mathematical problems using a variety of methods. They will also learn how to apply mathematical concepts to real-world problems.

In addition to these specific topics, students will also develop their fluency with mathematical concepts and their ability to solve mathematical problems. They will be able to use mathematical reasoning to solve problems in other areas of their lives, such as science, technology, and engineering.

• Number names to digits: 5-digits
  
  Given the written form of a 5-digit number choose the corresponding numeric form
• Number names to digits: 6-digits
  
  Given the written form of a 6-digit number choose the corresponding numeric form
• Number names to digits: 7-digits
  
  Given the written form of a 7-digit number choose the corresponding numeric form

• Digits to number names: 5-digits
  
  Given the numeric form of a 5-digit number choose the corresponding word form of that number
• Digits to number names: 6-digits
  
  Given the numeric form of a 6-digit number choose the corresponding word form of that number
• Digits to number names: 7-digits
  
  Given the numeric form of a 7-digit number choose the corresponding word form of that number

• Steps up of 10³
  
  Identify the correct missing number in these steps up of 10³ (1000)
• Steps up of 10⁴
  
  Identify the next number in these steps up of 10⁴
• Steps up of 10⁵
  
  Identify the correct missing number in these steps up of 10⁵
• Steps down of 10³
  
  Identify the missing number in these steps down of 10³
• Steps down of 10⁴
  
  Identify the missing number in these steps down of 10⁴ (10,000)
• Steps down of 10⁵
  
  Identify the missing number in these steps down of 10⁵ (100,000)

• Largest or smallest negative number
  
  Choose the largest or smallest of these negative numbers
• Negative numbers in ascending order
  
  Arrange these negative numbers in ascending order from smallest to largest
• Negative numbers in descending order
  
  Arrange these negative numbers in descending order from largest to smallest

• Identify negative coordinates
  
  Identify the negative number coordinates of point X on the grid
• Vertical distance between coordinates
  
  Count the vertical places from a marked point to a given set of coordinates
• Horizontal distance between coordinates
  
  Count the horizontal places from a marked point to a given set of coordinates

• Difference in temperature
  
  Work out the difference in average February temperatures between pairs of European cities
• Biggest difference in temperature
  
  Which 2 cities have the biggest difference in temperature?

• Roman numerals to numbers
  
  Convert these Roman numerals into modern day numbers between 150 and 1000
• Numbers to Roman numerals
  
  Convert these modern day numbers between 150 and 1000 into Roman numerals
• Convert years to Roman numerals
  
  Convert year dates such as 1981 or 2017 to Roman numerals

• Order decimals ascending
  
  Choose the correct ascending order for these decimal numbers
• Order decimals descending
  
  Pick the correct order of numbers from largest to smallest

• Largest number
  
  Choose the largest of these positive and negative numbers
• Smallest number
  
  Choose the smallest of these positive and negative numbers
• Ascending order
  
  Choose the correct order of numbers from smallest to largest
• Descending order
  
  Choose the correct order of numbers from largest to smallest

• Larger number
  
  Use the correct symbol to show which is the larger of 2 numbers
• Choose the correct symbol
  
  Pick the symbol that describes the relationship of 2 numbers
• Pick the correct expression
  
  Choose the inequality that best represents the sentence
• Pick the correct sentence
  
  Choose the description that best represents the inequality

• Smallest amount
  
  Choose the smallest monetary amount in notes and coins
• Largest amount
  
  Choose the largest monetary amount in notes and coins
• Order ascending
  
  Choose the correct ascending order for sets of three monetary values

• Name types of number
  
  Choose the correct name for the numbers in each list e.g. square, cube, decimals, etc.
• Select types of numbers
  
  Choose the list of numbers that is of the type named in the question e.g. prime, cube, triangular, etc.
• Identify prime numbers
  
  From each list choose the number that is prime

• Add a number each time
  
  Pick the next number when adding the same number each time
• Subtract a number each time
  
  Pick the next term when subtracting the same number each time

• Square numbers
  
  Identify the missing number in these square number patterns
• Cube numbers
  
  Identify the missing cube number in these patterns
• Triangular numbers
  
  Pick the missing number in these patterns of triangular numbers
• Fibonacci numbers
  
  Choose the missing number in these fibonacci sequences

• Term to term rule
  
  Choose the correct rule for these number patterns
• Recognize a sequence
  
  Use the given rule to choose the correct pattern

• To 8-digits: tens place value
  
  Identify the value of the tens digit in each of these numbers up to 8-digits long
• To 8-digits: hundreds place value
  
  Identify the value of the hundreds digit in each of these numbers up to 8-digits long
• To 8-digits: thousands digit
  
  Identify the value of the thousands digit in each of these numbers up to 8-digits long
• 8-digit numbers: millions place-value
  
  Identify the value of the millions digit for each these numbers up to 8-digits long

• Round numbers up to 10,000
  
  Use place value to round numbers up to 10,000 to the the given degree of accuracy

• Multiply by 10, 100, 1000, 10,000
  
  What do you need to multiply the given number by to change the green digit to the specified place value?
• Divide by 10, 100, 1000
  
  What do you need to divide by to make the green digit 5 into a hundred?

• Multiply by 100
  
  What will the place value of the highlighted green digit be after multiplying by 100?
• Multiply by 1000
  
  What will the place value of the highlighted green digit be after multiplying by 1000?
• Multiply by 0.1
  
  What will the place value of the highlighted green digit be after multiplying by 0.1?
• Dividing by 10
  
  What will the place value of the highlighted green digit be after dividing by 10?
• Dividing by 100
  
  What will the place value of the highlighted green digit be after dividing by 100?
• Dividing by 0.1
  
  What will the place value of the highlighted green digit be after dividing by 0.1?

• Number bonding to 1000
  
  Identify pairs of multiples of 10 that bond to 1000
• Number bonding to 10,000
  
  Identify pairs of multiples of 100 that bond to 10,000
• Number bond to zero
  
  Identify the 3 numbers in the lists that have a sum of zero

• String of 4 numbers
  
  Use mental calculations to bond four 2-digit numbers
• String of 5 numbers
  
  Use mental calculations to bond five 2-digit numbers
• Strings of 6 numbers
  
  Use mental calculations to bond six 2-digit numbers

• Rounding up to add
  
  Identify the correct adjustment to make after rounding up to add
• Rounding down to add
  
  Identify the adjustment to make after rounding down to add
• Rounding up and down
  
  Use rounding up and down to simplify these additions

• Estimate to add: 2-digit numbers
  
  Estimate by rounding 2-digit numbers to 1 significant figure and then adding
• Estimate to add: 3-digit numbers
  
  Estimate by rounding 3-digit numbers to 1 significant figure and then adding
• Estimate to add: 4-digit numbers
  
  Estimate by rounding pairs of 4-digit numbers to 1 significant figure and then adding

• 2 people buy some items
  
  Use addition and/or multiplication to calculate how much the 2 people spend in total
• 3 people buy some items
  
  Use addition and/or multiplication to calculate how much the 3 people spend in total
• Total cost: 4 items
  
  Use addition to find out how much the 4 items cost in total

• Formal addition: 2-digits + 3-digits
  
  Find the missing number for these formal 2-digit plus 3-digit columnar additions
• Formal addition: 3-digit numbers
  
  Find the missing number for each of these formal 3-digit plus 3-digit columnar additions
• Decimal numbers
  
  Choose the correct missing number for these formal decimal number additions

• Estimate to subtract: 2-digit numbers
  
  Estimate by rounding double-digit subtractions to 1 significant figure
• Estimate to subtract: 3-digit numbers
  
  Estimate by rounding 3-digit subtractions to 1 significant figure
• Estimate to subtract: 4-digit numbers
  
  Estimate subtractions by rounding 4-digit numbers to 1 significant figure

• Formal subtraction: 2-digit numbers
  
  Find the missing number for these formal 2-digit minus 2-digit columnar subtractions
• Formal subtraction: 3-digits minus 2-digits
  
  Find the missing number for these formal, columnar subtractions of 3-digits minus 2-digits
• Formal subtraction: 3-digit numbers
  
  Find the missing number for these formal 3-digit minus 3-digit columnar subtractions
• Decimal numbers
  
  Choose the missing number for these formal written subtractions with decimal numbers

• How many more?
  
  Use subtraction to find how many more items someone has
• How many are left?
  
  Use subtraction to find out the number of items remaining

• Change from ten dollars
  
  Identify the correct change when items are purchased with a ten dollar bill
• Change from twenty dollars
  
  Identify the correct change when purchasing items with a twenty dollar bill
• Change from fifty dollars
  
  Identify the correct change to expect when purchasing items with a fifty dollar bill

• Add 109 to a multiple of 10
  
  Add 109 to a number by first adding 110 and then subtracting 1 from the result
• Add 119 to a multiple of 10
  
  Add 119 to a number by first adding 120 and then subtracting 1 from the result
• Add 129 to a multiple of 10
  
  Add 129 to a number by first adding 130 and then subtracting 1 from the result

• Add 101 to a multiple of 10
  
  Add 101 to a number by first adding 100 and then adding a further 1 to the answer
• Add 111 to a multiple of 10
  
  Add 111 to a number by first adding 110 and then adding a further 1 to the answer
• Add 121 to a multiple of 10
  
  Add 121 to a number by first adding 120 and then adding a further 1 to the answer

• Subtract 89 from multiple of 10
  
  Subtract 89 from a number by first subtracting 90 and then adding 1 to the result
• Subtract 99 from multiple of 10
  
  Subtract 99 from a number by first subtracting 100 and then adding 1 to the result
• Subtract 109 from multiple of 10
  
  Subtract 109 from a number by first subtracting 110 and then adding 1 to the result

• Subtract 101
  
  Subtract 101 from a number by subtracting 100 and then subtracting 1 more
• Subtract 111
  
  Subtract 111 from a number by subtracting 110 and then subtracting 1 more
• Subtract 121
  
  Subtract 121 from a number by subtracting 120 and then subtracting 1 more

• Add and subtract
  
  Add and subtract to find the answer to these 2 step problems
• Missing addition
  
  Find the missing addition in these 2 step add and subtract number machine operations
• Missing subtraction
  
  Find the missing subtraction value in these 2 step add and subtract operations

• Check subtractions using inverse operations
  
  Choose the inverse operations that check these subtractions
• Check additions using inverse operations
  
  Choose the inverse operations that correctly check these additions

• Multiples of numbers up to 30
  
  Identify multiples of numbers up to 30
• Greatest multiple of 13
  
  Choose the greatest multiple of 13 from these lists of numbers up to 160
• Identify multiples of 40
  
  List the first two multiples of 40 between the given pairs of numbers
• Identify multiples of 75
  
  List the first two multiples of 75 between the given pairs of numbers

• Times tables to 12 x 5
  
  Choose or recall the correct answers for times tables multiplications up to 12 x 5
• Times tables to 12 x 10
  
  Choose or recall the correct answers for times tables multiplications up to 12 x 10
• Times tables to 12 x 12
  
  Choose or recall the correct answers for times tables multiplications up to 12 x 12

• Long Multiplication: 2 by 2-digits
  
  Find the missing number for these two-digit by two-digit formal long multiplications
• Long Multiplication: 3 by 3-digits
  
  Find the missing number for these 3-digit by 3-digit formal long multiplications
• Long Multiplication: 4 x 1-digits
  
  PIck the missing number for these 4-digit by 1-digit formal long multiplications

• Add and then multiply
  
  Use mental calculations to answer questions where you add first and then multiply
• Subtract and then multiply
  
  Use mental calculations to answer questions where you subtract first and then multiply
• Multiply and then add
  
  Use mental calculations to answer questions where you multiply first and then add
• Multiply and then subtract
  
  Use mental calculations to answer questions where you multiply first and then subtract

• Divide 1-digit into 2-digit numbers
  
  Use mental calculations to divide double-digit numbers up to 99 by single-digits
• Divide by 5
  
  Use mental calculations to divide 3-digit numbers by 5
• Divide by 10
  
  Use mental calculations to divide numbers from 1000 to 100,000 by 10
• Divide by 100
  
  Use mental calculations to divide numbers up to 100,000 by 100
• Divide by 1000
  
  Use mental calculation to divide numbers up to 900,000 by 1000

• Formal short: 1-digit into 2-digits
  
  Formal short division, missing number problems: 2-digit numbers divided by 1-digit numbers
• Formal short: 1-digit into 3-digits
  
  Formal short division, missing number problems: 3-digit numbers divided by 1-digit numbers
• Formal short: 1-digit into 4-digits
  
  Formal short division, missing number problems: 4-digit numbers divided by 1-digit numbers
• Formal short division: 2-digits
  
  Formal short division, missing number problems: 2-digit numbers divided by 2-digit numbers
• Formal short: 2-digits into 3-digits
  
  Formal short division, missing number problems: 3-digit numbers divided by 2-digit numbers
• Formal short: 2-digits into 4-digits
  
  Formal short division, missing number problems: 4-digit numbers divided by 2-digit numbers

• Formal long: 1-digit into 2-digits
  
  Formal long division, missing number problems: 2-digit numbers divided by 1-digit numbers
• Formal long: 1-digit into 3-digits
  
  Formal short division, missing number problems: 3-digit numbers divided by 1-digit numbers
• Formal long: 1-digit into 4-digits
  
  Formal short division, missing number problems: 4-digit numbers divided by 1-digit numbers
• Formal long: 2-digits into 3-digits
  
  Find the missing number for these 2-digits into 3-digits formal long divisions
• Formal long: 2-digits into 4-digits
  
  Find the missing number for these 2-digits into 4-digits formal long divisions

• 1-digit into 2-digits with remainder
  
  Find the remainder for each formal short division dividing 2-digit numbers by 1-digit numbers
• 1-digit into 3-digits with remainder
  
  Find the remainder for each formal short division dividing 3-digit numbers by 1-digit numbers
• 1-digit into 4-digits with remainder
  
  Find the remainder for each formal short division dividing 4-digit numbers by 1-digit numbers
• 2-digits into 2-digits with remainder
  
  Find the remainder for each formal short division dividing 2-digit numbers by 2-digit numbers
• 2-digits into 3-digits with remainder
  
  Find the remainder for each formal short division dividing 3-digit numbers by 2-digit numbers
• 2-digits into 4-digits with remainder
  
  Find the remainder for each formal short division dividing 4-digit numbers by 2-digit numbers

• Divide 2-digits by 1: fraction remainder
  
  Find the remainder as fraction for each long division dividing 2-digit numbers by 1-digit numbers
• Divide 3-digits by 1: fraction remainder
  
  Find the remainder as fraction for each long division dividing 3-digit numbers by 1-digit numbers
• Divide 4-digits by 1: fraction remainder
  
  Find the remainder as fraction for each long division dividing 4-digit numbers by 1-digit numbers
• 2-digits into 3-digits, remainder as fraction
  
  Find the remainder as fraction for each long division dividing 3-digit numbers by 2-digit numbers
• 2-digits into 4-digits, remainder as fraction
  
  Find the remainder as fraction for each long division dividing 4-digit numbers by 2-digit numbers

• Add then divide
  
  Use mental calculations to answer questions where you add first and then divide
• Subtract then divide
  
  Use mental calculations to answer questions where you subtract first and then divide
• Divide then add
  
  Use mental calculations to answer questions where you divide first and then add
• Divide then subtract
  
  Use mental calculations to answer questions where you divide and then subtract
• BIDMAS - 4 operations
  
  Use order of operations (BIDMAS) to find the correct answers

• Two matching divisions
  
  Choose the two division that produce the same answer

• Order of operations: missing multiple
  
  Work back from the answer to find the missing multiple in these multiply then divide 2 step operations
• Order of operations: missing divisor
  
  Work back from the answers to find the missing divisors for each of these 2 step operations
• Using brackets
  
  Calculate the answers to these questions involving brackets, multiplication and division

• Find the factors of numbers to 99
  
  Use times tables or otherwise to identify all the factors of numbers up to 99
• Common factors
  
  Identify all the common factors of two numbers up to 99
  e.g. the common factors of 4 and 8 are 1, 2 and 4
• Highest common factor
  
  Identify the highest common factor of two numbers up to 99
• Prime numbers
  
  Identify the 2 prime numbers in each list of numbers up to 99
• Prime factors
  
  Identify the prime factors of each number up to 99
• Common factors & fractions
  
  Use common factors to identify equivalent fractions

• Expand a x b into a x (c+d)
  
  Find the missing number in each of these distributive method expansions
• Turn a x (c + d) into ac + ad
  
  Identify the missing number in these distributed method bracket expansions

• Area and cost per square metre
  
  Use order of operations to find the unit cost per square metre

• Best price - divide by 7
  
  Use division by 7 to work out the saving made by purchasing a packet of 7 rather than individual items
• Best price - divide by 9
  
  Use division by 9 to work out the saving made by purchasing a packet of 9 rather than individual items

• Calculate the unit cost
  
  Find the unit cost of items using multiplication and division
• Fractions of groups or money
  
  Find fractions of groups or money by first dividing or cross-cancelling and then multiplying
• Share money using ratio
  
  Share out a given amount of money at a given ratio using multiplication and division

• Compare fractions: equivalence
  
  Choose which two fractions are equivalent from groups of three fractions
• Which fraction is biggest
  
  Choose the fraction which is the biggest
• Which fraction is smallest
  
  Choose the fraction which is the smallest
• Half of a fraction
  
  Chose the fraction that is half the size of the given fraction
• Double a fraction
  
  Choose the fraction that is double the size of the given fraction

• Order fractions: ascending
  
  Find the list of fractions that is in correct ascending order
• Order fractions: descending
  
  Find the list of fractions that is in correct descending order from largest to smallest

• Unit fractions of a quantity
  
  Use division to find unit fraction multiples of quantities
• Three eighths of a quantity
  
  Choose the correct answer for ⅜ of a quantity
• Five eighths of a quantity
  
  Choose the correct answer for ⅝ of a quantity
• Five ninths of a quantity
  
  Choose the correct answer for 5/9 of a quantity
• Missing fraction problems
  
  Calculate the missing fraction that completes these multiplication sums

• Mixed to top-heavy
  
  Convert mixed fractions to improper (top-heavy) fractions
• Top-heavy to mixed fractions
  
  Convert these top-heavy fractions to mixed fractions
• Simplify fractions: cancel zeros
  
  Cancel zeros top and bottom to simplify each fraction
• Simplify fractions: halve even numbers
  
  Halve even numbers top and bottom to simplify the fractions
• Simplify fractions: common factors
  
  Divide top and bottom by a common factor to simplify the fractions

• Add fractions: same denominator
  
  Add fractions where no change is required to the denominators
• Add equivalent fractions
  
  Add these fractions by making the denominators the same using common factors
• Add fractions using LCD
  
  Use a lowest common denominator (LCD) to add these pairs of fractions
• Add mixed fractions
  
  Convert these mixed fractions to top-heavy fractions and then add them together

• Subtract same denominator fractions
  
  Calculate the fraction subtractions where no change is required to the denominators
• Subtract equivalent fractions
  
  Subtract these equivalent fractions by matching denominators using common factors
• Subtract fractions using LCD
  
  Convert one fraction using a lowest common denominator (LCD) in order to subtract the fractions
• Subtract mixed fractions
  
  Use borrowing or other methods to subtract mixed fractions

• Proper fractions: simple
  
  Multiply proper fractions by multiplying across the numerators and denominators and simplifying
• Multiply fractions: cross cancel first
  
  Multiply fractions by cancelling numbers first using the BOW TIE method - simplify your answers

• Divide proper fractions by whole numbers
  
  Use the flip method for dividing by a fraction to expand the question and identify the answer

• From fractional amount to original amount
  
  Work backwards from a fractional amount to find the whole amount

• Equivalent sizes
  
  Identify the decimal that is the same size as the fraction
• Decimals greater than fraction
  
  Identify the decimals that are greater than the given fraction

• Capacity & volume problems
  
  Solve problems involving capacity and volume identifying the correct answer using fractions

• Word decimals to decimals
  
  Turn these word descriptions of decimal numbers into numerical decimals

• Identify decimal digits
  
  Identify the specified digit in these 3 decimal place (3dp) numbers

• Round to 1 decimal place
  
  Round each of these decimal quantities to the nearest 1 decimal place (1 d.p.)
• Round to 2 decimal places
  
  Round each of these decimal quantities to the nearest 2 decimal place (2 d.p.)
• Round to 3 decimal places
  
  Round each of these decimal quantities to the nearest 3 decimal place (3 d.p.)

• Add decimals
  
  Add decimal numbers by arranging them in columns and lining up the decimal points

• Subtract decimals
  
  Subtract decimal numbers by arranging them in columns and lining up the decimal points

• Multiply decimals by 10
  
  Multiply decimals by 10, giving each answer to the requested number of decimal places
• Multiply decimals by 100
  
  Multiply decimals by 100, giving each answer to the requested number of decimal places
• Multiply decimals by 1000
  
  Multiply decimals by 1000, rounding the answer to the requested number of decimal places

• Single-digit into a 1 d.p. number
  
  Use the bus stop method to divide a 1 decimal place number by a single-digit number
• Single-digit into a 2 d.p. number
  
  Use the bus stop method to divide a 2 decimal place number by a single-digit number

• Double the size
  
  Use multiplication and division to get double the size of the objects or values
• Triple the size
  
  Use multiplication and division to find triple the given values and measures
• Five times the size
  
  Use multiplication and division to find five times the given sizes
• Half the size
  
  Use multiplication and division to find half of the given quantities and measures
• A third of the size
  
  Use multiplication and division to find a third of the size of the given values and measures
• A fifth of the size
  
  Use multiplication and division to find a fifth of the given values and measures
• Calculate total size
  
  Use multiplication and division to calculate the whole value or measure from the given decimal portion
• Relative size: find scale factor
  
  Use multiplication and division to find the scale factor given original and final sizes

• Find 10%
  
  From 100% find out what 10% is using division (without using your calculator)
• Find 30%
  
  Find 30% by breaking up each given value into 3 lots of 10% (no calculator)
• Find 15%
  
  Find 15% by breaking up each given value into a 10% and a 5% and adding them together

• Find 15% with calculator
  
  Find 15% with your calculator using the multiplier 0.15
• Find 8% with calculator
  
  Find 8% with your calculator using the multiplier 0.08
• Find 80% with calculator
  
  Find 80% with your calculator using the multiplier 0.8

• Express 2 values as a percentage
  
  Express 2 values as a percentage by creating a fraction from the 2 numbers and multiplying by 100

• Compare fractions, decimals, percent
  
  Compare proportions using fractions, decimals and percent and say which is the biggest part of the whole
• Percentages of different measures
  
  Identify which percentage of a length is the longest

• Scale factors: calculate dimensions
  
  Use the scale factor and model or drawing dimensions to calculate the real dimensions
• Similar shapes: find scale factor
  
  Use the properties of similar shapes to find the scale factor

• Calculate volume of cuboids
  
  Use the dimensions of the sides to calculate the volume of these cuboids
• Estimate volume of cuboids
  
  Use rounding to calculate an estimate of the volume of these cuboids
• Compare volumes: largest, smallest
  
  Compare tabular cuboid dimensions and identify the one with the largest or smallest volume

• Standard units: symbols to names
  
  Identify the correct names for these standard unit symbols
• Standard units: names to symbols
  
  Identify the correct standard units from the written descriptions
• Select units of measure
  
  Identify the most appropriate units to use to measure the given items or events
• Identify compound units
  
  Identify the compound units from the given lists of units

• Convert hours to minutes
  
  Identify the correct number of minutes for the given number of hours
• Convert kilometers to meters
  
  Identify the correct number of meters for the given number of kilometers
• Convert meters to centimeters
  
  Identify the correct number of centimeters for the given meters
• Convert centimeters to millimeters
  
  Convert the given number of centimeters to the equivalent number of millimeters
• Convert kilograms to grams
  
  Convert the given number of kilograms to the equivalent number of grams
• Convert liters to milliliters
  
  Convert the given number of liters to the equivalent number of milliliters

• Convert meters to kilometers
  
  Convert the given number of meters to the equivalent number of kilometers
• Convert centimeters to meters
  
  Identify the correct number of meters for the given number of centimeters
• Convert millimeters to centimeters
  
  Identify the correct number of centimeters for the given number of millimeters
• Convert grams to kilograms
  
  Identify the correct number of kilograms for the given number of grams
• Convert milliliters to liters
  
  Convert the given number of milliliters to liters by dividing the milliliters by 1000

• Convert units: metric to imperial
  
  Use the stated approximations to convert metric to imperial measures
• Convert units: imperial to metric
  
  Use the stated approximations to convert imperial to metric measures
• Equality symbols: compare mass
  
  Select equality symbols to compare metric kilograms to imperial pounds (lb)
• Convert metric : imperial: line graphs
  
  Use the graphical representation to convert between metric and imperial measurements
• Equality symbols: compare lengths
  
  Choose a symbol to indicate that length A is longer, shorter or equal to B

• Area of parallelograms
  
  Use the formula area = base x height identify the area of each parallelogram
• Area of triangles
  
  Use the formula A = h x b/2 to identify the area of these triangles

• Perimeter: composite shapes
  
  Use letters to express the perimeter of composite shapes
• Scale drawings & area
  
  Use given measure and scale factors to work out new areas
• Money earned over time
  
  Given certain data, work out how much someone earns in a day, a week, a month or per annum
• Negative integers
  
  Use a number line to add or subtract negative temperatures

• 2D shapes from lengths, angles
  
  For each set of lengths and angles identify the correct 2D shape that is described
• 3D shapes from their nets
  
  Identify the three-dimensional shape names for the given nets
• Nets from 3D shapes
  
  Identify the correct net for the given three-dimensional shape names

• Most vertices
  
  For each pair of shapes, identify which one has the greater number of vertices
• Most sides
  
  For each pair of shapes, identify which one has the greater number of sides
• Lines of symmetry
  
  For each pair of shapes, identify which shape has more lines of symmetry
• Identify 2D shapes from properties
  
  Choose the shape to which the given set of properties (sides, angles, lines of symmetry) apply
• Parts of a circle
  
  Identify parts of a circle including radius, diameter, circumference, chord, tangent etc.

• Acute angles
  
  For each of these lists, identify the largest angle that is acute
• Obtuse angles
  
  Identify the smallest or largest angle in each of these sets which is obtuse
• Reflex angles
  
  Identify the smallest or largest angle in each of these sets that is reflex

• Angles on a straight line
  
  Use the fact that angles on a straight line sum to 180° to find the missing angle x
• Angles inside a triangle
  
  Use the fact that angles inside a triangle sum to 180° to find the missing angle X
• Angles inside quadrilateral
  
  Use the fact that angles inside a quadrilateral sum to 360° to find the missing angle X
• Angles around a point
  
  Use the fact that angles around a point sum to 360° to find the missing angle x

• Describe the translation: right and up
  
  Describe the translation of the pink square to the specified square using right and up
• Describe the translation: right and down
  
  Describe the translation of the pink square to the specified square using right and down
• Describe the translation: left and up
  
  Describe the translation of the pink square to the specified square using left and up
• Describe the translation: left and down
  
  Describe the translation of the pink square to the specified square using left and down

• Identify parallel lines
  
  Identify the two lines that are parallel
• Identify perpendicular lines
  
  Identify the two lines that are perpendicular
• Positive and negative gradients
  
  Identify the lines with the described polarity and steepness of gradient
• Tangents and chords
  
  Identify whether the line is a tangent or a chord to the curve or circle
• Lines parallel to the quadratic grid
  
  Identify lines of form y = n (e.g. y = 3) and x = n (e.g. x = 4) that are parallel to the quadratic grid

• Count right and up from the origin
  
  Count how many steps right and up from the origin are required to get to point X
• Count right and down from the origin
  
  Count how many steps right and down from the origin are required to get to point X
• Count left and up from the origin
  
  Count how many steps left and up from the origin are required to get to point X
• Count left and down from the origin
  
  Count how many steps left and down from the origin are required to get to point X

• Left and up
  
  Identify the square that is the result of translating the pink square left and up
• Right and down
  
  Identify the square that is the result of translating the pink square right and down

• Interpret pie charts
  
  Interpret the pie charts to identify the correct answers
• Interpret line graphs
  
  Interpret these line graphs of annual rainfall on 2 islands to identify the correct answers
• Interpret 3 category Venn diagrams
  
  Interpret these 3 category Venn diagrams to identify the correct answers

• Mode
  
  Identify the mode or most frequent in each data set
• Median
  
  Identify the median by placing numbers in order and striking
• Mean
  
  Calculate the mean by finding the total and dividing by the number of data points
• Range
  
  Identify the range for each of these sets of numbers
• Outliers
  
  Identify the outlier in each of these sets of numbers

• One step addition equations
  
  Solve the one-step addition equation to find the value of X
• One step subtraction equations
  
  Solve the one-step subtraction equation to find the value of x
• One step multiplication equations
  
  Solve the multiplication equation to find the value of x
• One step division equations
  
  Solve the one-step division equation to find the value of x

• Perimeter of squares
  
  Use the formula perimeter P = 4 x length to work out the perimeter of each square
• Perimeter of rectangles
  
  Use the formula perimeter P = 2 x (length + width) to calculate the perimeter of rectangles
• Perimeter of equilateral triangles
  
  Use the formula P = 3 x length to work out the perimeter of these equilateral triangles
• Perimeter of compound shapes
  
  Use algebra to express the total perimeter of compound shapes in terms of x

• Area of squares
  
  Calculate the area of squares using the formula area A = length L times L
• Area of rectangles
  
  Calculate the area of rectangles using the formula area A = length L x width W

• Angles on straight line: missing angle
  
  Find the missing angle using the angles on a straight line rule
• Angles around point: missing angle
  
  Find the missing angle using the angles around a point rule
• Angles in triangle: missing angle problems
  
  Find the missing angle using the rule that angles in a triangle sum to 180 degrees
• Angles in a quadrilateral
  
  Find the missing angle using the rule that angles in a quadrilateral sum to 360 degrees

• Angles on a straight line: form an equation
  
  Express the angles on a straight line missing number problem algebraically by forming an equation
• Angles around a point: form an equation
  
  Express the angles around a point missing number problem algebraically by forming an equation
• Angles in a triangle: form equation
  
  Express the angles in a triangle sum to 180 missing number problem algebraically by forming an equation

• Composite shapes: missing lengths
  
  Identify the missing length X for each of these 2-dimensional composite shapes
• Coordinates of point P
  
  Using the graph identify the x or y coordinate of the point labelled P

• Collect up like terms
  
  Use addition and subtraction to collect up like terms
• Expand a simple bracket
  
  Use multiplication to expand a bracket then simplify the expression
• Multiply and simplify
  
  Use multiplication to expand and then collect like terms

• Generate linear sequences
  
  Identify the sequence that is generated by the given formula
• Term to term rule
  
  Identify the correct term-to-term rule for the sequence
• Position to term rule
  
  Identify the correct position-to-term rule for the given sequences

• Two variables
  
  Identify the pair of numbers that satisfy a statement