Outline
Elementary Math
- Author:
- Ronan Downes, Lew W. S.
Compilation for fellow teachers to edit, collate (according to curriculum strands and alos update and add on useful interactive resources.
Table of Contents
Numbers And Algebra
- Prime Factors - step by step
- Factorization - Visual illustration of divisor pairs
- Self Assessment : Quadratic Curve's Properties
- Determining the Equation of Straight Lines Given Two Points
- Slope Intercept Form of Equation of Straight Line - Quiz
- Bar Model for Problems on Ratio Rate Direct Proportion
- find LCM and GCD
- Self Review of Maps and Scales Problems
- Fraction Multiplication
- Randomized linear simultaneous equations
- Basic Algebra Terms
- Distributive Law of Multiplication over Addition ( Pictorial)
- Exploring Positive and Negative Integral Indices
- Solve Simple Linear Equations
- UCSS Math III 2B.1.5 Example 4
- Rational Expressions
- Rational Expression Unit Test
- "Pass the Paper" Problems- Adding & Subtracting REs
- Example 4
- Guided Practice Sheets
- Anchor Activities
- Example 1
- Simplify Expressions, More Complicated-Section 1.4
- Factoring Quadratic Expressions 3
- Multiplication Frame, Algebraic Factorisation.
- Factorization of Special Products
- Expansion of Linear Factors Using Multiplication Frame
- Proportional Thinking using Model-Table-Proportion(Algebra) Representations
- Solving Equations where Product of Linear Factors Equals Zero
- Map Scales (1)
- Map Scales(2)
- Binomial Multiplication
- Completing the square
- Magic machine for function
- Equivalent Fractions Puzzel
- Story of Rice on Chessboard : - Exponential Doubling
- sieve of eratosthenes
- Sieve of Eratosthenes
- Sieve of Eratosthenes
- Function Machine
- Percentages: Selling Problems, Profit & Loss
- Equivalent Linear Equations
- Solving Linear Inequalities (Level 2) Game
- Significant Figures Self Directed Quiz
- Smallest n such that m × n is a perfect square
- Smallest k such that m × k is a perfect cube
- Finding the ratio x : y given algebraic equation ax + by = cx + dy
- Fraction Division5: x ÷ a/b (Quotitive)
- Speed Time Graph for Self Directed Learning (Customizable)
- Distance Time Graph For Self Directed Learning
- Graphing on Graph Paper
- Solving percents with a bar model
- Balance Beam Equations
- Solving Proportions
- Numberline
- Adding and subtracting a negative integer
- Graphing Linear Equations in 2 Unknowns
- Ordered Pairs, Cartesian Coordinates Self Assessment
- Operation of 3 Sets #2
- Evaluating unknowns in Linear Equations in Two Variables and Graphing the Equations
- Linear Functions : Input Variable x and Output Variable y
- Speed, Distance & Time in Motion (RACE CAR)
- Distance Between Two Points (Length of Line Segment)
- Self Assess Distance Betw Two Points(Length of Line Segment)
- Forming Equation of a Straight Line Given Graph of Line
- Changes in Inequalities due to Multiplication and Division
- Fun With Number Pattern
- Representing Numbers on a Number Line
- Completing the Square Method in Quadratic Functions
- Expand Product of Two Linear Expressions (Area Method)
- Solve Simple Linear Equations (Apply Balance Concept)
- Algebra balance scales
- Equation Balance
- Graphing of Polynomial Functions Point by Point
- Sorting decimals from least to greatest
- Factorization of Quadratic Expressions Aided by Multiplication Frame
- Rational Expression Unit Pre-Assessment
- Function Machine 2
- Problem of movement
- Quadratic Formula - Approximate Solutions
- Coefficients of a general quadratic function
- Expand and Simplify Basic Algebraic Expression with Brackets
- Plotting graph of a function
- Concept of gradient(slope) of a line
- Midpoint between two points
- Concept of Cartesian coordinates
- Solving Simultaneous Linear Inequalities II (Self Directed Practice)
- Significant Figures Self Review 2
- Solve Simple Linear Equations (II)
- Maximum and Minimum Values of Inequalities in variables x and y
- Solving Simple Inequalities Game
- Copy of Simplifying Algebraic Fractions (Express as a Single fraction)
- Linear Equations in Two Variables - Solutions are points on Graph!
- Linear Equations in Two Variables - Solutions on the Graph
- Factorized Form of Quadratic Function
- Factorization involving Special Algebraic Identities (Perfect Squares and Difference of Squares)
- Exploration of roots of a quadratic equation (Copy)
- Connecting Angle between Two Lines and Trigonometric Ratios
- Gradient and Y Intercept of Straight Line & its Equation
- Multiplying integers (Copy)
Geometry and Measurement
- Types of Triangles
- Bearings
- Angles in Opposite Segments
- Angles in the SemiCircle
- External Tangents to a Circle
- Introduction: Radians
- Congruent Triangles 3
- Basic Terms in Geometry
- Are the triangles congruent?
- Congruent Triangles Exploration 1
- Example 2
- Similar Figures
- Congruent Figures Activity
- Collinear Points (Definition Prompt)
- Triangle Angle Theorems
- Geometry Exercise (Basic) Problem 2 : Application of Tangent Radius Property
- Geometry Exercise (Basic) Problem 1 : Application of Tangent Radius Property
- Area of Parallelograms
- Deriving the Area Formula of a Parallelogram
- Bearings : Practice with Compass Reference
- Area of a Trapezium
- Acute Obtuse or Reflex Angles
- Angle of Elevation and Depression
- 10.2 Angles of elevation and depression(仰角和俯角)
- Angle of elevation and depression
- Angle of elevation - light house1
- Angle of Elevation & Angle of Depression 仰角和俯角
- Converse of Pythagoras Theorem : Self Assessment
- Lines representing equations of the form x = a and y = c
- Mathematical Modelling of Filling of Circular Water Tank
- Angle between line AB and radius of the circle (Tangent Radius)
- Perpendicular lines and their Gradients
- 3D Sphere, Hemisphere Volume and Total Surface Areas
- Cone Volume and Total Surface Area
- Total Surface Area & Volume of Cylinder (with net shown)
- Self Review Mensuration of Hemispherical Bowl
- Self Review Mensuration of Composite Cylinder & Hemisphere
- Self Review Mensuration of Composite Hemisphere & Cone
- Are the triangles congruent?
- Arc Length 1
- Pythagorean Triple Generator
- Indices (Positive Integer Index) : Introduction
- Relationship between Arc length, Area of Sector, Radius and Angle (in degrees)
- Exploring the Converse of Pythagoras Theorem
- Shortest Distance between a Point and a Line (in Angle Bisector)
- Deriving area of trapezium by using a parallelogram
- Parallelogram Investigation - Area
- Quiz on Solving Right Triangles (Combined) 解直角三角形：合併測驗
- Net of cone
- Net of pyramid
- Net of prism
- Net of cylinder
- Different nets of cube
- Different nets of rectangular prism(cuboid)
- Area of kite
- Geometric properties of a quadrilateral
- Investigation - Corresponding angles, alternate angles and interior angles
- Let's Build Prisms
Statistics and Probability
- Tree Diagrams
- Permutation Braid, 4 Unique Objects
- Mean Median Mode -Tabulated Data with Visual Mode Example 2
- Boxplot Game
- Dot Plot Interactive
- AQR Section 16: Matching a Pie Chart to a Dot Plot
- AQR Section 17: Calculating Summary Statistics
- AQR Section 17: Dot Plot and Box-and-Whisker Plot
- Visualizing Statistical Information
- 3 Dice
- Probability: Selecting Balls
- Computing Simple Probabilities from Tables
- Experimental probability
- rolling a dice
- Example 1
- flipping a coin
- Probability with Area
- dotplot
- Mean and Median Practice
- measures of center
- Averages (Mean, Median, Mode)
- AQR Section 17: Mean but Sensitive
- Data Visualization
- Standard Deviation Investigation
- AQR Quick Question 17.3: Mean, Median, and Midrange
- Probability
- Probability and Tree Diagram
- Probability trees
- rolling two dice-1
- Introduction to Probability ---- The Rolling of a Die
- Mean, Median, Mode, and Range
- Outlier Influence
- UCSS Math II 4.3.2 Example 1
- UCSS Math II 4.3.1 Example 3
- UCSS Math II 4.3.1 Example 2
- Stem and Leaf Plot Template
- Interactive Dot Diagram(with Illustration of Mean, Median)
- Comparing Histogram, Dot and Stem & Leaf Diagrams