Chapter 1
3:12Patterns that repeatYou'll learn: Identify the repeating unit
3:40Patterns that growYou'll learn: Distinguish change from repetition
3:49Why numbers are odd or evenYou'll learn: Explain pairing and leftovers
3:40Continuing odd and even sequencesYou'll learn: Predict successive odd or even counts
3:49Tell me the ruleYou'll learn: State a rule and justify a prediction
3:58Why triangular numbers make trianglesYou'll learn: Connect an arrangement to its count
3:47Growing a triangular arrangementYou'll learn: Calculate a new total from the previous total
3:59Why square numbers make squaresYou'll learn: Count equal rows and columnsChapter 1Mathematics Begins With Patterns and Explanations4:17Mathematics Begins With Patterns and ExplanationsYou'll learn: Mathematics Begins With Patterns and ExplanationsChapter 1A Sequence Can Stay the Same or Grow3:59A Sequence Can Stay the Same or GrowYou'll learn: A Sequence Can Stay the Same or GrowChapter 1Odd and Even Numbers Grow by Two4:05Odd and Even Numbers Grow by TwoYou'll learn: Odd and Even Numbers Grow by Two+ 44 more coming soon
Chapter 2
Chapter 2A point tells us where3:18A point tells us whereYou'll learn: Understand a point as an exact locationChapter 2A straight connection between two points3:20A straight connection between two pointsYou'll learn: Recognise a segment and its endpointsChapter 2A ray starts here and continues3:19A ray starts here and continuesYou'll learn: Recognise one starting point and a directionChapter 2A line continues in both directions3:29A line continues in both directionsYou'll learn: Distinguish lines, rays and segmentsChapter 2Read and name a geometry diagram3:25Read and name a geometry diagramYou'll learn: Name points, segments and lines correctlyChapter 2The starting point comes first for a ray3:12The starting point comes first for a rayYou'll learn: Explain why ray names have an orderChapter 2An angle measures an opening3:26An angle measures an openingYou'll learn: Identify an angle in a physical setupChapter 2The vertex and arms tell us which angle3:20The vertex and arms tell us which angleYou'll learn: Name an angle with its vertex in the middleChapter 2An angle is an amount of turn3:21An angle is an amount of turnYou'll learn: Connect an opening to rotationChapter 2Longer arms do not make a larger angle3:32Longer arms do not make a larger angleYou'll learn: Compare the opening rather than the drawn lengthsChapter 2Compare angles by matching their positions3:33Compare angles by matching their positionsYou'll learn: Use superimposition to compare openingsChapter 2Right straight and full turns3:29Right straight and full turnsYou'll learn: Recognise quarter, half and full turnsChapter 2Acute and obtuse openings3:29Acute and obtuse openingsYou'll learn: Compare an opening with a right angleChapter 2The larger opening can be a reflex angle3:30The larger opening can be a reflex angleYou'll learn: Identify the intended angle between the same armsChapter 2Degrees give turns a shared unit3:20Degrees give turns a shared unitYou'll learn: Understand the degree conventionChapter 2Use reference turns to estimate an angle3:33Use reference turns to estimate an angleYou'll learn: Connect reference turns to degree measuresChapter 2Angles on a clock face3:36Angles on a clock faceYou'll learn: Apply equal angular spacing to whole hour examplesChapter 2Place the protractor correctly3:25Place the protractor correctlyYou'll learn: Align its centre and zero directionChapter 2Choose the scale that starts at zero3:28Choose the scale that starts at zeroYou'll learn: Read the correct numbered scaleChapter 2Measure a rotated diagram3:34Measure a rotated diagramYou'll learn: Measure independently of page orientationChapter 2Find the measure of a reflex angle3:33Find the measure of a reflex angleYou'll learn: Use a full turn and the smaller measured openingChapter 2Spot and repair measurement mistakes3:31Spot and repair measurement mistakesYou'll learn: Diagnose misalignment and wrong scale readingsChapter 2Draw an acute or obtuse angle3:31Draw an acute or obtuse angleYou'll learn: Use a baseline, mark and second rayChapter 2Draw from a different baseline direction3:31Draw from a different baseline directionYou'll learn: Transfer the method to new orientationsChapter 2Make an angle design and verify it3:32Make an angle design and verify itYou'll learn: Apply drawing and measurement in a small task
+ 57 more coming soon
Chapter 3
Chapter 3Numbers can describe a position3:20Numbers can describe a positionYou'll learn: Interpret a count of taller neighboursChapter 3A supercell beats its neighbours3:21A supercell beats its neighboursYou'll learn: Identify a local maximum rather than the largest number everywhereChapter 3Supercells in a grid3:25Supercells in a gridYou'll learn: Apply the stated adjacency rule in two dimensionsChapter 3A number line needs equal steps3:26A number line needs equal stepsYou'll learn: Connect equal distances to equal numerical incrementsChapter 3Find missing numbers from reference marks3:35Find missing numbers from reference marksYou'll learn: Infer the step size and locate valuesChapter 3A number and its digit sum are different3:33A number and its digit sum are differentYou'll learn: Separate place value from adding digitsChapter 3Build numbers with a chosen digit sum3:26Build numbers with a chosen digit sumYou'll learn: Use constraints to compare possible numbersChapter 3Count appearances of a digit3:32Count appearances of a digitYou'll learn: Count occurrences rather than just numbers containing the digitChapter 3Numbers that read the same both ways3:29Numbers that read the same both waysYou'll learn: Recognise and build palindromesChapter 3Reverse add and test again3:35Reverse add and test againYou'll learn: Follow a repeated number transformation accuratelyChapter 3Rearrange subtract and repeat3:35Rearrange subtract and repeatYou'll learn: Follow the four-digit routine with valid starting digitsChapter 3Different starts can meet the same result3:48Different starts can meet the same resultYou'll learn: Compare selected trajectories and recognise a fixed resultChapter 3Clock and calendar digit puzzles3:30Clock and calendar digit puzzlesYou'll learn: Find patterns within the chosen display conventionChapter 3Regroup to make a friendly calculation3:34Regroup to make a friendly calculationYou'll learn: Explain mental addition and multiplicationChapter 3An operation changes more than the digits3:38An operation changes more than the digitsYou'll learn: Reason about possible result sizesChapter 3Always sometimes or never3:40Always sometimes or neverYou'll learn: Support a claim or find a counterexampleChapter 3Two rules create a number journey3:28Two rules create a number journeyYou'll learn: Apply half for even numbers and three times plus one for odd numbersChapter 3Examples leave a bigger question3:42Examples leave a bigger questionYou'll learn: Understand what an unproved conjecture meansChapter 3Estimate using a small count3:37Estimate using a small countYou'll learn: Use representative groups to estimate a larger quantityChapter 3Choose a sensible scale for an estimate3:33Choose a sensible scale for an estimateYou'll learn: Check whether a result is plausibleChapter 3Work backwards in a counting game3:32Work backwards in a counting gameYou'll learn: Find useful target totals for adding one two or threeChapter 3Change the rules and rethink the strategy3:40Change the rules and rethink the strategyYou'll learn: Adapt reasoning when the target or allowed move changes
+ 48 more coming soon
Chapter 4
Chapter 4What do we need to find out3:30What do we need to find outYou'll learn: Turn a practical question into collectable responsesChapter 4Collect data consistently3:44Collect data consistentlyYou'll learn: Record each response once in useful categoriesChapter 4Tallies help us keep count3:30Tallies help us keep countYou'll learn: Record observations in groups of fiveChapter 4Turn tallies into a frequency table3:48Turn tallies into a frequency tableYou'll learn: Read category counts and verify totalsChapter 4A picture can stand for several objects3:28A picture can stand for several objectsYou'll learn: Use a key to interpret a pictographChapter 4Half a symbol has a meaning too3:24Half a symbol has a meaning tooYou'll learn: Read a partial symbol when the key permits itChapter 4Choose a useful pictograph key3:38Choose a useful pictograph keyYou'll learn: Balance space and accurate representationChapter 4Build and check the picture display3:38Build and check the picture displayYou'll learn: Convert counts into a titled labelled pictographChapter 4A bar height represents a count3:47A bar height represents a countYou'll learn: Read categories and values from the axesChapter 4The scale determines the reading3:36The scale determines the readingYou'll learn: Interpret equally spaced marks with different numerical stepsChapter 4Read horizontal bars too3:37Read horizontal bars tooYou'll learn: Transfer the reading method to a horizontal graphChapter 4Plan the axes and scale3:35Plan the axes and scaleYou'll learn: Choose a scale that fits the largest countChapter 4Draw a complete bar graph3:40Draw a complete bar graphYou'll learn: Plot counts with consistent widths and spacingChapter 4Repair a graph that misrepresents counts3:31Repair a graph that misrepresents countsYou'll learn: Check baseline scale labels and bar heightsChapter 4Use a graph to answer a question3:43Use a graph to answer a questionYou'll learn: Find totals differences and most or least frequent categoriesChapter 4What can this survey actually tell us3:52What can this survey actually tell usYou'll learn: Distinguish supported conclusions from guessesChapter 4Design should help the reader3:48Design should help the readerYou'll learn: Choose readable labels orientation and simple decoration
+ 39 more coming soon
Chapter 5
Chapter 5Factors make exact groups3:32Factors make exact groupsYou'll learn: Connect a factor to division without leftoversChapter 5Find all factor pairs3:27Find all factor pairsYou'll learn: List factors systematicallyChapter 5Multiples count repeated groups3:32Multiples count repeated groupsYou'll learn: Generate positive multiples by repeated equal additionsChapter 5Factors and multiples answer different questions3:44Factors and multiples answer different questionsYou'll learn: Choose the correct relationship in contextChapter 5One group size for two collections3:29One group size for two collectionsYou'll learn: Find factors common to two numbersChapter 5Use common factors to solve a sharing problem3:44Use common factors to solve a sharing problemYou'll learn: Interpret the largest possible group size from a listChapter 5When do repeated steps meet3:40When do repeated steps meetYou'll learn: Find common positive multiplesChapter 5Find the first meeting and later meetings3:41Find the first meeting and later meetingsYou'll learn: Use a short list to solve a repeated-event problemChapter 5Prime numbers have exactly two factors3:36Prime numbers have exactly two factorsYou'll learn: Distinguish prime and composite numbersChapter 5Why one is different and two is prime3:34Why one is different and two is primeYou'll learn: Correct common classification mistakesChapter 5Sift a number grid for primes3:33Sift a number grid for primesYou'll learn: Use a systematic sieve on a finite gridChapter 5Check a proposed prime carefully3:30Check a proposed prime carefullyYou'll learn: Use factors and counterexamples instead of appearanceChapter 5Coprime describes a pair3:26Coprime describes a pairYou'll learn: Recognise two numbers sharing only factor oneChapter 5Composite numbers can be coprime3:38Composite numbers can be coprimeYou'll learn: Distinguish coprime pairs from pairs of primesChapter 5Coprime steps make a thread pattern3:28Coprime steps make a thread patternYou'll learn: Explore repeated jumps around a finite peg circleChapter 5Break a number into prime building blocks3:27Break a number into prime building blocksYou'll learn: Continue splitting until every factor is primeChapter 5Different trees give the same prime collection3:47Different trees give the same prime collectionYou'll learn: Check factorisation by multiplying backChapter 5Use prime tiles to check coprimality3:42Use prime tiles to check coprimalityYou'll learn: Find shared prime factors systematicallyChapter 5Use prime tiles to check divisibility3:42Use prime tiles to check divisibilityYou'll learn: Check that the divisor’s factors are all availableChapter 5Divisibility by two five and ten3:35Divisibility by two five and tenYou'll learn: Connect last-digit rules to place-value groupsChapter 5Why the last two digits decide divisibility by four3:38Why the last two digits decide divisibility by fourYou'll learn: Use hundreds as complete groups of fourChapter 5Why the last three digits decide divisibility by eight3:47Why the last three digits decide divisibility by eightYou'll learn: Use thousands as complete groups of eightChapter 5Choose the right test and explain it3:42Choose the right test and explain itYou'll learn: Apply the supported tests without confusing their rulesChapter 5One number can be special in several ways3:49One number can be special in several waysYou'll learn: Justify different valid classificationsChapter 5Build a prime product grid3:43Build a prime product gridYou'll learn: Use prime factors to meet row and column conditionsChapter 5Explore perfect numbers and twin primes3:48Explore perfect numbers and twin primesYou'll learn: Recognise the chapter’s special-number examples
+ 47 more coming soon
Chapter 6
Chapter 6Perimeter is a journey around the edge3:34Perimeter is a journey around the edgeYou'll learn: Distinguish boundary length from surface coverageChapter 6Count every boundary side once3:38Count every boundary side onceYou'll learn: Calculate the perimeter of an irregular straight-sided shapeChapter 6A rectangle repeats two side lengths3:23A rectangle repeats two side lengthsYou'll learn: Derive perimeter by adding the four sidesChapter 6A square repeats one side four times3:35A square repeats one side four timesYou'll learn: Connect equal sides to four equal boundary lengthsChapter 6Equal-sided polygons follow the same idea3:47Equal-sided polygons follow the same ideaYou'll learn: Use the number of equal sides in a perimeter calculationChapter 6Find a missing boundary length3:55Find a missing boundary lengthYou'll learn: Use known sides and the perimeter totalChapter 6Read a fencing problem carefully3:46Read a fencing problem carefullyYou'll learn: Distinguish full perimeter from the material actually neededChapter 6Area measures coverage3:41Area measures coverageYou'll learn: Cover a region without gaps or overlapsChapter 6The unit square changes the count3:40The unit square changes the countYou'll learn: Connect unit size to the numerical area measureChapter 6Rows and columns count the tiles3:42Rows and columns count the tilesYou'll learn: Derive rectangle area from a rectangular arrayChapter 6A square is a rectangle with equal sides3:40A square is a rectangle with equal sidesYou'll learn: Apply the array reasoning to squaresChapter 6Estimate coverage on a grid3:44Estimate coverage on a gridYou'll learn: Use full and partial squares to estimate areaChapter 6Split a shape into known regions3:56Split a shape into known regionsYou'll learn: Add non-overlapping rectangular areasChapter 6Remove a region to find what remains3:43Remove a region to find what remainsYou'll learn: Subtract a known cut-out areaChapter 6Same area can have different perimeters3:57Same area can have different perimetersYou'll learn: Track coverage and exposed edges separatelyChapter 6Same perimeter can have different areas3:52Same perimeter can have different areasYou'll learn: Compare rectangular shapes with a fixed boundary lengthChapter 6Design under a boundary or coverage constraint3:48Design under a boundary or coverage constraintYou'll learn: Explain a choice using both measurementsChapter 6A diagonal shares a rectangle into equal areas3:42A diagonal shares a rectangle into equal areasYou'll learn: Explain half-area by cutting and matchingChapter 6Different triangles can share the same area3:46Different triangles can share the same areaYou'll learn: Extend the rectangle comparison using two piecesChapter 6Use triangle pieces in an area puzzle3:48Use triangle pieces in an area puzzleYou'll learn: Calculate a composite region with the taught method
+ 40 more coming soon
Chapter 7
Chapter 7Whole units are sometimes too coarse3:26Whole units are sometimes too coarseYou'll learn: Recognise why a smaller unit is neededChapter 7Share one whole fairly3:29Share one whole fairlyYou'll learn: Build a unit fraction by equal sharingChapter 7Equal parts make a valid fractional unit3:37Equal parts make a valid fractional unitYou'll learn: Distinguish equal shares from arbitrary piecesChapter 7Different shapes can have equal area3:35Different shapes can have equal areaYou'll learn: Recognise equal-area parts without requiring identical shapesChapter 7The denominator names the unit3:26The denominator names the unitYou'll learn: Identify the size of one equal partChapter 7The numerator counts those units3:33The numerator counts those unitsYou'll learn: Connect repeated unit fractions to fraction notationChapter 7Fractions are numbers with positions3:43Fractions are numbers with positionsYou'll learn: Locate fractional lengths between whole numbersChapter 7Keep the same fractional step beyond one3:47Keep the same fractional step beyond oneYou'll learn: Locate fractions across several whole intervalsChapter 7Several parts can exceed one whole3:41Several parts can exceed one wholeYou'll learn: Connect improper fractions to complete wholes and a remainderChapter 7Two forms describe the same amount3:39Two forms describe the same amountYou'll learn: Convert mixed and improper forms with a modelChapter 7More pieces can show the same amount3:40More pieces can show the same amountYou'll learn: Explain equivalence by subdivisionChapter 7Scale both counts together3:45Scale both counts togetherYou'll learn: Connect subdivision to multiplying numerator and denominator by the same positive whole numberChapter 7Equivalent fractions share one position3:39Equivalent fractions share one positionYou'll learn: Check equivalence on a number lineChapter 7Join small parts into larger equal units3:36Join small parts into larger equal unitsYou'll learn: Explain simplification through regroupingChapter 7Use common factors to find a simplest form3:49Use common factors to find a simplest formYou'll learn: Link regrouping to dividing both counts by a common factorChapter 7Compare fractions with the same denominator3:36Compare fractions with the same denominatorYou'll learn: Compare counts of equally sized unitsChapter 7More shares can mean a smaller share3:44More shares can mean a smaller shareYou'll learn: Compare unit fractions and fractions with the same positive numeratorChapter 7Make unlike fractions comparable3:41Make unlike fractions comparableYou'll learn: Use equivalent forms with a common denominatorChapter 7Order fractions with reference values3:41Order fractions with reference valuesYou'll learn: Use zero one-half and one alongside equivalenceChapter 7Addition counts more of the same unit3:45Addition counts more of the same unitYou'll learn: Add fractions with matching denominatorsChapter 7Subtraction removes matching units3:43Subtraction removes matching unitsYou'll learn: Subtract like fractions and check by additionChapter 7Different units need a shared partition3:35Different units need a shared partitionYou'll learn: Add unlike fractions after expressing equivalent formsChapter 7An addition can pass a whole3:31An addition can pass a wholeYou'll learn: Interpret an improper sum and express a mixed resultChapter 7Solve a fraction addition situation3:47Solve a fraction addition situationYou'll learn: Translate a measured-quantity story into an additionChapter 7Make the removed quantity use the same unit3:49Make the removed quantity use the same unitYou'll learn: Subtract unlike fractions with equivalent formsChapter 7Regroup a whole when needed3:45Regroup a whole when neededYou'll learn: Subtract from a mixed quantity using the piece modelChapter 7Choose addition or subtraction from the story3:48Choose addition or subtraction from the storyYou'll learn: Model a quantity change and verify the resultChapter 7Different words can name the same fraction3:25Different words can name the same fractionYou'll learn: Connect familiar fraction words to quantities and notationChapter 7A fraction can be built from unit fractions3:39A fraction can be built from unit fractionsYou'll learn: Explore a sum without teaching a general decomposition algorithm
+ 45 more coming soon
Chapter 8
Chapter 8Try the Artwork Freehand, Then Plan With Tools3:34Try the Artwork Freehand, Then Plan With ToolsYou'll learn: Try the Artwork Freehand, Then Plan With ToolsChapter 8All Points Four Centimetres From One Point3:35All Points Four Centimetres From One PointYou'll learn: All Points Four Centimetres From One PointChapter 8Set a Radius and Draw a Circle Without Changing It3:45Set a Radius and Draw a Circle Without Changing ItYou'll learn: Set a Radius and Draw a Circle Without Changing ItChapter 8Construct A Person From Straight Parts and Arcs3:49Construct A Person From Straight Parts and ArcsYou'll learn: Construct A Person From Straight Parts and ArcsChapter 8Make a Wavy Wave From Two Semicircles3:31Make a Wavy Wave From Two SemicirclesYou'll learn: Make a Wavy Wave From Two SemicirclesChapter 8Change the Wave Length and Make Shallower Matching Arcs3:42Change the Wave Length and Make Shallower Matching ArcsYou'll learn: Change the Wave Length and Make Shallower Matching ArcsChapter 8Construct Matching Eyes With Supporting Guides3:47Construct Matching Eyes With Supporting GuidesYou'll learn: Construct Matching Eyes With Supporting GuidesChapter 8Recognise the Properties and Name the Corners in Order3:38Recognise the Properties and Name the Corners in OrderYou'll learn: Recognise the Properties and Name the Corners in OrderChapter 8Turning a Square Does Not Change Its Shape3:32Turning a Square Does Not Change Its ShapeYou'll learn: Turning a Square Does Not Change Its ShapeChapter 8Place Four Squares Around a Rectangle3:37Place Four Squares Around a RectangleYou'll learn: Place Four Squares Around a RectangleChapter 8Which Dot-Grid Figures Are Really Squares?3:48Which Dot-Grid Figures Are Really Squares?You'll learn: Which Dot-Grid Figures Are Really Squares?Chapter 8Construct a Square With Side Six Centimetres3:37Construct a Square With Side Six CentimetresYou'll learn: Construct a Square With Side Six CentimetresChapter 8Construct and Check Two Rectangles3:52Construct and Check Two RectanglesYou'll learn: Construct and Check Two RectanglesChapter 8Can Four Right Angles Have Unequal Opposite Sides?3:56Can Four Right Angles Have Unequal Opposite Sides?You'll learn: Can Four Right Angles Have Unequal Opposite Sides?Chapter 8Track Two Moving Points on Opposite Sides3:47Track Two Moving Points on Opposite SidesYou'll learn: Track Two Moving Points on Opposite SidesChapter 8Where Are the Moving Points Closest and Farthest?3:46Where Are the Moving Points Closest and Farthest?You'll learn: Where Are the Moving Points Closest and Farthest?Chapter 8Plan a Rectangle Made From Two Equal Squares3:30Plan a Rectangle Made From Two Equal SquaresYou'll learn: Plan a Rectangle Made From Two Equal SquaresChapter 8Transfer a Length to Build Two or Three Equal Squares3:35Transfer a Length to Build Two or Three Equal SquaresYou'll learn: Transfer a Length to Build Two or Three Equal SquaresChapter 8Centre a Square Inside an Eight-by-Four Rectangle3:39Centre a Square Inside an Eight-by-Four RectangleYou'll learn: Centre a Square Inside an Eight-by-Four RectangleChapter 8Construct Two Falling-Square Arrangements3:56Construct Two Falling-Square ArrangementsYou'll learn: Construct Two Falling-Square ArrangementsChapter 8Make the Shaded Square Pattern3:46Make the Shaded Square PatternYou'll learn: Make the Shaded Square PatternChapter 8Locate the Centres of a Square’s Circular Holes3:46Locate the Centres of a Square’s Circular HolesYou'll learn: Locate the Centres of a Square’s Circular HolesChapter 8Draw Four Uniform Curves Around a Square3:55Draw Four Uniform Curves Around a SquareYou'll learn: Draw Four Uniform Curves Around a SquareChapter 8Compare the Two Diagonals of a Rectangle3:43Compare the Two Diagonals of a RectangleYou'll learn: Compare the Two Diagonals of a RectangleChapter 8Which Angles Do the Diagonals Split Equally?3:42Which Angles Do the Diagonals Split Equally?You'll learn: Which Angles Do the Diagonals Split Equally?Chapter 8What Changes When the Rectangle Becomes a Square?3:49What Changes When the Rectangle Becomes a Square?You'll learn: What Changes When the Rectangle Becomes a Square?Chapter 8Construct a Rectangle With a Sixty-Thirty Diagonal Split3:33Construct a Rectangle With a Sixty-Thirty Diagonal SplitYou'll learn: Construct a Rectangle With a Sixty-Thirty Diagonal SplitChapter 8Try Fifty-Forty and Forty-Five-Forty-Five Splits3:56Try Fifty-Forty and Forty-Five-Forty-Five SplitsYou'll learn: Try Fifty-Forty and Forty-Five-Forty-Five SplitsChapter 8Construct a Rectangle From a Side and a Diagonal3:51Construct a Rectangle From a Side and a DiagonalYou'll learn: Construct a Rectangle From a Side and a DiagonalChapter 8Practise Two More Side-and-Diagonal Rectangles3:55Practise Two More Side-and-Diagonal RectanglesYou'll learn: Practise Two More Side-and-Diagonal RectanglesChapter 8Plan the House and Construct Its Square Base3:39Plan the House and Construct Its Square BaseYou'll learn: Plan the House and Construct Its Square BaseChapter 8Find a Roof Point Five Centimetres From Two Corners3:47Find a Roof Point Five Centimetres From Two CornersYou'll learn: Find a Roof Point Five Centimetres From Two CornersChapter 8Complete the House With a Roof Arc3:39Complete the House With a Roof ArcYou'll learn: Complete the House With a Roof ArcChapter 8Build a Larger House and Revisit the Artwork3:54Build a Larger House and Revisit the ArtworkYou'll learn: Build a Larger House and Revisit the ArtworkChapter 8Four Equal Sides Do Not Necessarily Make a Square3:47Four Equal Sides Do Not Necessarily Make a SquareYou'll learn: Four Equal Sides Do Not Necessarily Make a Square
+ 19 more coming soon
Chapter 9
Chapter 9Find Repeated Parts in Familiar Designs3:47Find Repeated Parts in Familiar DesignsYou'll learn: Find Repeated Parts in Familiar DesignsChapter 9A Line of Symmetry Must Make Mirror Halves3:40A Line of Symmetry Must Make Mirror HalvesYou'll learn: A Line of Symmetry Must Make Mirror HalvesChapter 9Test the Opening Pictures and Three More Figures3:47Test the Opening Pictures and Three More FiguresYou'll learn: Test the Opening Pictures and Three More FiguresChapter 9Fold a Square to Find All Four Axes3:32Fold a Square to Find All Four AxesYou'll learn: Fold a Square to Find All Four AxesChapter 9Do Multiple Axes Make Every Diagonal an Axis?3:43Do Multiple Axes Make Every Diagonal an Axis?You'll learn: Do Multiple Axes Make Every Diagonal an Axis?Chapter 9Follow the Vertices Through a Reflection3:30Follow the Vertices Through a ReflectionYou'll learn: Follow the Vertices Through a ReflectionChapter 9Make an Ink-Blot Reflection3:44Make an Ink-Blot ReflectionYou'll learn: Make an Ink-Blot ReflectionChapter 9Predict What a Folded Cut Will Become3:43Predict What a Folded Cut Will BecomeYou'll learn: Predict What a Folded Cut Will BecomeChapter 9Infer the Folds From the Hole Pattern3:34Infer the Folds From the Hole PatternYou'll learn: Infer the Folds From the Hole PatternChapter 9Complete Hole Patterns From Their Symmetry Lines3:56Complete Hole Patterns From Their Symmetry LinesYou'll learn: Complete Hole Patterns From Their Symmetry LinesChapter 9Predict Four Unfolded Cut-Outs3:49Predict Four Unfolded Cut-OutsYou'll learn: Predict Four Unfolded Cut-OutsChapter 9Make Two Different Central Square Holes With One Cut4:00Make Two Different Central Square Holes With One CutYou'll learn: Make Two Different Central Square Holes With One CutChapter 9Count Axes in Three Symmetric Shapes3:40Count Axes in Three Symmetric ShapesYou'll learn: Count Axes in Three Symmetric ShapesChapter 9Trace and Test Every Candidate Mirror Line3:55Trace and Test Every Candidate Mirror LineYou'll learn: Trace and Test Every Candidate Mirror LineChapter 9Find the Mirror Lines of a Kolam3:39Find the Mirror Lines of a KolamYou'll learn: Find the Mirror Lines of a KolamChapter 9Can a Triangle Have Exactly Two Lines of Symmetry?3:41Can a Triangle Have Exactly Two Lines of Symmetry?You'll learn: Can a Triangle Have Exactly Two Lines of Symmetry?Chapter 9Draw Curved Figures With Exactly One, Two or Four Axes3:48Draw Curved Figures With Exactly One, Two or Four AxesYou'll learn: Draw Curved Figures With Exactly One, Two or Four AxesChapter 9Complete a Figure Across One Blue Mirror Line3:53Complete a Figure Across One Blue Mirror LineYou'll learn: Complete a Figure Across One Blue Mirror LineChapter 9Complete Six Figures With Two Mirror Axes3:47Complete Six Figures With Two Mirror AxesYou'll learn: Complete Six Figures With Two Mirror AxesChapter 9Add Only Two Lines to Make a Symmetric Shape3:58Add Only Two Lines to Make a Symmetric ShapeYou'll learn: Add Only Two Lines to Make a Symmetric ShapeChapter 9A Pinwheel Can Match After a Turn Without a Mirror Line3:40A Pinwheel Can Match After a Turn Without a Mirror LineYou'll learn: A Pinwheel Can Match After a Turn Without a Mirror LineChapter 9Track Square Corners Through Four Matching Turns3:46Track Square Corners Through Four Matching TurnsYou'll learn: Track Square Corners Through Four Matching TurnsChapter 9Why Does This Strip Match Only After a Full Turn?3:41Why Does This Strip Match Only After a Full Turn?You'll learn: Why Does This Strip Match Only After a Full Turn?Chapter 9Change Fourfold Symmetry Into Twofold Symmetry3:40Change Fourfold Symmetry Into Twofold SymmetryYou'll learn: Change Fourfold Symmetry Into Twofold SymmetryChapter 9Three Arms Need Equal Gaps to Match Three Times3:32Three Arms Need Equal Gaps to Match Three TimesYou'll learn: Three Arms Need Equal Gaps to Match Three TimesChapter 9Build Five-, Six- and Sevenfold Designs3:40Build Five-, Six- and Sevenfold DesignsYou'll learn: Build Five-, Six- and Sevenfold DesignsChapter 9Find Matching Angles About the Marked Point3:35Find Matching Angles About the Marked PointYou'll learn: Find Matching Angles About the Marked PointChapter 9Which Figures Match More Than Once? Find Their Orders3:52Which Figures Match More Than Once? Find Their OrdersYou'll learn: Which Figures Match More Than Once? Find Their OrdersChapter 9All Matching Angles Follow the Smallest Turn3:41All Matching Angles Follow the Smallest TurnYou'll learn: All Matching Angles Follow the Smallest TurnChapter 9A Circle Has Infinitely Many Mirror Lines and Matching Turns3:42A Circle Has Infinitely Many Mirror Lines and Matching TurnsYou'll learn: A Circle Has Infinitely Many Mirror Lines and Matching TurnsChapter 9Spot Rotational Symmetry in Fans, Flowers and Wheels3:52Spot Rotational Symmetry in Fans, Flowers and WheelsYou'll learn: Spot Rotational Symmetry in Fans, Flowers and WheelsChapter 9Colour Twelve Sectors to Control the Number of Matches3:47Colour Twelve Sectors to Control the Number of MatchesYou'll learn: Colour Twelve Sectors to Control the Number of MatchesChapter 9Design Figures With Reflection, Rotation or Both3:58Design Figures With Reflection, Rotation or BothYou'll learn: Design Figures With Reflection, Rotation or BothChapter 9Use Sixty Degrees to Find a Hidden Smallest Turn3:48Use Sixty Degrees to Find a Hidden Smallest TurnYou'll learn: Use Sixty Degrees to Find a Hidden Smallest TurnChapter 9Analyse the Parliament-Building Picture3:52Analyse the Parliament-Building PictureYou'll learn: Analyse the Parliament-Building PictureChapter 9Count Symmetries of Regular Polygons3:43Count Symmetries of Regular PolygonsYou'll learn: Count Symmetries of Regular PolygonsChapter 9Does Every Koch Snowflake Stage Have the Same Symmetries?3:45Does Every Koch Snowflake Stage Have the Same Symmetries?You'll learn: Does Every Koch Snowflake Stage Have the Same Symmetries?Chapter 9Count the Symmetries of an Ideal Ashoka Chakra3:54Count the Symmetries of an Ideal Ashoka ChakraYou'll learn: Count the Symmetries of an Ideal Ashoka ChakraChapter 9Make Tile Patterns With Exactly One or Two Mirror Lines4:09Make Tile Patterns With Exactly One or Two Mirror LinesYou'll learn: Make Tile Patterns With Exactly One or Two Mirror LinesChapter 9A Half-Turn Reply Can Win the Six-by-Six Grid Game3:43A Half-Turn Reply Can Win the Six-by-Six Grid GameYou'll learn: A Half-Turn Reply Can Win the Six-by-Six Grid Game
+ 16 more coming soon
Coming soon
The Other Side of Zero
- The Other Side of Zero69 videos coming