# 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 Inequality (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
- Introduction to Indices (Positive Integer Index)
- 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, Mode, Median, 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