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Videos for ianlowe

  • 29 Completing the square 4 solves with an odd coefficient of n using a diagram and introduces the formula
  • 28 Completing the square 3 shows why there will be no solutions if the graph does not cross the horizontal axis
  • 25a Multiply integers - a spreadsheet draws a rectangle of squares to show + x +, + x -, - x + and - x -.
  • 27 Completing the square 2 - find two negative solutions to a quadratic equation with no factors
  • 26 Completing the square 1 - using two-sided strips and squares to solve a quadratic equation with no factors
  • 25 Multiply integers using two-sided squares - showing that -2 x 3 = 6, 2 x -3 = 6 and -2 x -3 = 6
  • 24 Solve quadratic equations which have no factors but two solutions - using graphs
  • 23 Solve quadratic equations using factors - with 2, 1 or 0 solutions - using pictures, tables and graphs
  • 22 Factorise trinomials (negative n, positive number) inc perfect squares using pictures and check with tables
  • 21 Expand (spreadsheet) with two subtractions makes trinomials with middle term negative & third term positive
  • 20 Expand (spreadsheet) with two subtractions - make length & width shorter and add some squares to compensate
  • 19 Factorise trinomials with third term negative using diagrams & check with tables - including diff of squares
  • 18 Use Expand (spreadsheet) to explore expansions with one side increased and the other decreased
  • 17 Expand brackets with one subtraction - the big square is shorter one way and longer the other
  • 16 Factorise trinomials with all terms positive - with a table (see factors) and use two-sided strips & squares
  • 11a Expand and factorise linear expressions using a spreadsheet to draw diagrams that also vary the value of x
  • 15 Expand quadratics on a spreadsheet (type 1 all positive) shows expansion rectangles with changeable x
  • 14 Expand brackets (type 1 all positive) - make a rectangle (area = length x width) & list the parts of the area
  • 13 'Home and away matches' - a quadratic pattern with a quadratic formula and a factorised form as well
  • 12 Quadratic expressions use the square of the variable (shown by a big square) as well as linear expressions.
  • 11 Factorise linear expressions by using a common factor as a rectangle width and the other factor as length
  • Expand linear expressions, then add or subtract them - shown with pictures and checked with tables of values
  • 9 Adding and subtracting linear expressions by adding the opposite - shown in pictures and checked in a table
  • 8 Generalising a number pattern with expressions (using letters and numbers), shown with pictures and tables
  • 7 Using a spreadsheet for linear equations - doing the same to both sides and interpreting graphical solutions
  • 6 Solving linear equations ('expression = expression' type) using pictures (adding to both sides) and graphs
  • 5 Linear equations ('expression = number' type) solved using a table of values, pictures and graphs
  • Matchstick patterns show a geometric pattern leading to a number pattern, and a formula as its generaisation
  • 3 Subtracting integers using two-sided squares - to subtract any integer we can add the opposite integer
  • 2 Adding integers, using two-sided cardboard squares. The main idea of integers is that opposites add to zero
  • 1 A mind-map showing how the many concepts in algebra are related
  • WERMS Written Exam Revision for MathS is VCE multiple choice & analysis problems and solutions arranged by topic
  • The Doorbell Rang is an enchanting story about division - sharing 12 cookies between numbers of hungry children
  • Shrine to University - 15 examples of geometry found on the route of a popular excursion for middle secondary
  • Maths Assessment FOR Learning: Rich tasks and work samples - 41 activities & rubrics showing understanding
  • Hands-on Maths comprises three books about understanding - using Base ten, Pattern blocks and Unifix cubes.
  • Action Numeracy are reading books emphasising mathematical ideas. There are 9 each at middle and upper primary
  • If the world were 100 people, shows the whole world graphically. MAV offers teaching ideas with this book.
  • Trigmaster helps students master trigonometry. It uses the unit circle in all quadrants and includes tangent.
  • Dice don't have brains - a set of primary level hands-on activities to help students understand probability
  • Hands on Ratio - Trigonometry - combines theory with group prac work to help students understand trig ratios
  • Hands-on Ratio - Scale - practical activities to develop understanding of many geometric applications of ratio
  • Having FUN with maths - cooperative logic, games with dice and calculators, and crosswords
  • Working mathematically Investigations - font size, bouncing balls and quadratic functions
  • Understanding the calculus - using graphs to understand gradient (derivatives) and area (integrals) functions
  • Maths at Work - modelling your world Volume 2 - trigonometry, statistical estimation and modelling bushfires
  • Global food and maths - family photos (with weekly food) and statistics to assist multi-cultural understanding
  • Geosphinx - to explore symmetry, tessellations and puzzles. www.blackdouglas.com.au for the Sphinx Album
  • Hands-on Space - using Geoshapes to develop understanding of 2D and 3D geometry
  • Geometry Everywhere - hands-on activities for understanding geometry (example Tessellations)
  • People Count - understand the maths you teach (example Using formulas and Quadratic relationships)
  • People count - to assist teachers to understand the mathematics they teach (example Place value)
  • Guidelines in Measurement - hands-on group work activities to develop understanding at primary level
  • Guidelines in Number - rich hands-on activities to understand of number concepts, mainly at primary level
  • CAM - Careers and Maths - for low achievers at middle secondary (example Maths and Community Services)
  • Maths at Work - Modelling your world: real applications on CD for lower level students, VCAL and adult education
  • MApps (Maths Applications - investigations in the real world) - CD content survey and example (Food energy)
  • Active Learning - worksheets for understanding (examples Scale models of the Solar system and Earth and moon)
  • Active Learning - worksheets to support understanding (example Nets - of cubes and other 3D objects)
  • Active Learning worksheets to assist understanding (example Factorgrams in Number)
  • Interactive Learning - interactive diagrams to improve understanding (example Drawing pin for Probability)
  • Interactive Learning - interactive diagrams to improve understanding (example Cube nets)
  • Interactive Learning - interactive diagrams to improve understanding (example Add strip fractions)
  • RIME lessons for problem solving and understanding (example Slopes - Fractions and algebra)
  • RIME lessons for problem solving and understanding (example Paving patterns - Algebra)
  • Learning objects at secondary levels (example Bridge Builder for algebra)
  • Learning objects at Primary levels (example: Vile Vendor for probability)
  • Secondary assessment for learning using work samples and criteria
  • Primary assessment for learning, using work samples and criteria
  • Planning templates related to Teach Maths for Understanding - an example from Years 5&6
  • Explore links in tm4u - Year 10 Unit 3 including material for lower levels
  • Explore Year 10 Differentiated Unit Plans in outline including an algebra unit
  • Explore a typical unit at Year 7 (Unit 2 on multiplication and division) in tm4u
  • Explore Year 7 Differentiated Unit Plans in outline
  • Explore links in Years 3&4 Unit 1 of Teach Maths for Understanding
  • Explore in Years 3&4 a typical Differentiated Unit Plan outline in tm4u
  • Explore Year 1 Term 1 week 1 Differentiated Unit Plans in tm4u
  • Explore Year 1 Differentiated Unit Plan outlines in MAV's Teach Maths for Understanding
  • Access the Teach Maths for Understanding website from mav.vic.edu.au.