Number

Topics

In order. Each topic shows its concepts first, then the lesson, a test and its games. Your place is saved if you leave.

1. 1Topic 1: Where fractions livePut fractions on the line. Watch equal ones share a spotNext for you

   Concepts · 24 idea cards

   1. 1Equal parts make a fraction
   2. 2Top number, bottom number
   3. 3A fraction of a group of things
   4. 4A fraction is a spot on the number line
   5. 5Compare fractions of the same whole
   6. 6Split the parts: same amount, new name
   7. 7Equivalent fractions share one spot
   8. 8Multiply the top and bottom by the same number
   9. 9Fractions that make one whole
   10. 10Fractions can be more than 1
   11. 11From improper fraction to mixed number
   12. 12From mixed number back to improper fraction
   13. 13Same bottom number: compare the tops
   14. 14Same top number: more parts means smaller parts
   15. 15Use 1/2 as a landmark
   16. 16Which is closer to 1?
   17. 17Rename to the same bottom number to compare
   18. 18Ordering mixed numbers and improper fractions
   19. 19Add fractions with the same bottom number
   20. 20When a sum goes past one whole
   21. 21Subtract fractions with the same bottom number
   22. 22Tenths and hundredths as decimals
   23. 23Percent means out of 100
   24. 24One amount, three names: fraction, decimal, percent

   Start the lesson →Test yourselfAbout this topicAdding, Subtracting & Using FractionsPlayFraction Snap
2. 2Topic 2: The closer neighbourWatch a decimal pick its closer neighbour

   Concepts · 23 idea cards

   1. 1Tenths: one whole cut into 10
   2. 2Hundredths: each tenth cut into 10
   3. 3Read a decimal by its last place
   4. 4Decimals live between whole numbers
   5. 5A metre stick counts in hundredths
   6. 6A zero holds the place
   7. 7Decimals in expanded form
   8. 8Decimals as money
   9. 9A zero at the end changes nothing
   10. 10After 0.99 comes 1.00
   11. 11One place right: one tenth as much
   12. 12More digits is not more
   13. 13Put decimals in order
   14. 14Rounding picks the closer tenth
   15. 15Count the hundredths to each side
   16. 16Exactly halfway rounds up
   17. 17The hundredths digit is a shortcut
   18. 18Rounding up into the next whole
   19. 19Nearest tenth or nearest whole?
   20. 20Rounding measurements in real life
   21. 21Round up to have enough
   22. 22Rounded numbers can hide a difference
   23. 23Which numbers round to 4.3?

   Start the lesson →Test yourselfAbout this topicPlayAbout How Much?PlayNumber Landing
3. 3Topic 3: Big Numbers, Adding & SubtractingOpen numbers into places, regroup them, add and subtract

   Concepts · 23 idea cards

   1. 1A digit is worth its place
   2. 2Ten of a place make one of the next
   3. 3Read a big number in two parts
   4. 4A zero holds an empty place
   5. 5Expanded form shows each digit's value
   6. 6Build a number more than one way
   7. 7One more than 99 999
   8. 8More digits means a greater number
   9. 9Compare from the biggest place
   10. 10Put big numbers in order
   11. 11Big numbers on a number line
   12. 12Add in any order
   13. 13Group to make a friendly number
   14. 14Split a number to multiply it
   15. 15Subtraction undoes addition
   16. 16Count up to subtract
   17. 17Use a friendly number, then fix it
   18. 18The little 1 is a ten moved up
   19. 19Unpack a ten to subtract
   20. 20Subtract across zeros
   21. 21Line up the places in decimals
   22. 22Estimate to check an answer
   23. 23Solve a problem in two steps

   Start the lesson →Test yourselfAbout this topicAdding & Subtracting Whole NumbersPlayNumber Builder
4. 4Topic 4: Multiplication & DivisionSee the structure, split it apart, flip it to divide

   Concepts · 24 idea cards

   1. 1Rows times columns
   2. 2Turn the array, keep the product
   3. 3Times 0 and times 1
   4. 4Double, then double again
   5. 5Split a fact into two you know
   6. 6Nines from tens
   7. 7Share out, or make groups
   8. 8One array, four facts
   9. 9Times 0.1 is one tenth
   10. 10Times 0.01 is one hundredth
   11. 11Times 0.1 makes a number smaller
   12. 12Estimate a decimal sum
   13. 13Estimate the change
   14. 14Tens times tens make hundreds
   15. 15The area model for 23 × 14
   16. 16Partial products in a column
   17. 17The algorithm in two rows
   18. 18Estimate to check a product
   19. 19Division finds a missing side
   20. 20Divide in friendly chunks
   21. 21What is left over
   22. 22Round up, or leave the remainder out
   23. 23Share the remainder too
   24. 24Check a division by multiplying

   Start the lesson →Test yourselfAbout this topicMultiplying & Dividing Bigger NumbersPlayArray Architect
5. 5Topic 5: How Many Pieces?Four ribbons cut into thirds gives twelve pieces — and still four ribbons

   Concepts · 22 idea cards

   1. 1A unit fraction is one equal piece
   2. 2A bigger bottom number means a smaller piece
   3. 3Count in thirds
   4. 44 × 1/3 is 4 groups of one third
   5. 5Multiplying is adding the same piece again
   6. 6The whole number becomes the numerator
   7. 74/3 is one whole and one third
   8. 8Sometimes the pieces make whole numbers
   9. 9Jumps of 1/4 on a number line
   10. 104 ÷ 1/3: how many thirds fit in 4?
   11. 11Same pieces in every whole
   12. 1212 thirds is still 4 wholes
   13. 13Smaller pieces fit more times
   14. 14Dividing by 1/3 is not dividing by 3
   15. 15Count the jumps from 0 to 2
   16. 16One egg is 1/6 of a carton
   17. 17× and ÷ undo each other
   18. 184 × 1/3 and 4 ÷ 1/3 ask different questions
   19. 19Ribbon for 5 bows
   20. 20How many 1/2-cup scoops?
   21. 21How many people get 1/6 of a pizza?
   22. 22× or ÷? Read what the story gives you

   Start the lesson →Test yourselfAbout this topicPlayHow Many Fit?
6. 6Topic 6: Ratios & RatesScale both quantities together — the relationship survives

   Concepts · 22 idea cards

   1. 1A ratio compares two amounts
   2. 2Part to part
   3. 3Part to whole
   4. 4Three ways to write a ratio
   5. 5The order of a ratio matters
   6. 6Equal groups keep the ratio
   7. 7A ratio table, group by group
   8. 8Scale up: multiply both terms
   9. 9Scale down: divide both terms
   10. 10Adding the same to both breaks a ratio
   11. 11Are two ratios equivalent?
   12. 12Find a missing term
   13. 13Add two columns to make a third
   14. 14Ratios on a double number line
   15. 15A rate compares different units
   16. 16Beats per minute from 15 seconds
   17. 17The unit rate is the amount for one
   18. 18Use the unit rate for any amount
   19. 19Scale a recipe up or down
   20. 20A map scale is a ratio
   21. 21From kilometres back to the map
   22. 22Use the whole to find a part

   Start the lesson →Test yourselfAbout this topic

More to play

Games, playgrounds and stories for the whole unit. Nothing here is recorded.

• PlaygroundFraction PlaygroundCrank the top and bottom numbers and watch the bar and line move
• PlaygroundPlace Value MachinePile blocks into columns, trade tens, pull the ×10 lever
• PlaygroundRatio MixerMix red and yellow — equivalent ratios make the same orange
• PlaygroundMath Story MakerBuild a story problem of your own — print it or pass the code
• StoryThe Ribbon WorkshopOne roll of ribbon, three banners — will it stretch?
• StoryThe Mural MixThe sky colour is perfect. Now make four times as much.
• StoryThe Photo FinishTwo runners, two clocks, and a difference thinner than a blink.