Outline
Number with Mr Downes
This page contains links to some of my GeoGebra Books. The books are not like a static textbook because you can interact with the activities and bring the maths to life. Each page of each book contains a specific GeoGebra App. My advice is to jump straight in and explore and only use the instructions if you need them and if they are in a language that you can understand.
Many applets are in the form of quizzes that allow you to control the difficulty level and they even keep your score for you!
[url]Numbers with Mr Downes[/https://www.geogebra.org/m/knya7xwt]
[url]Geometry with Mr Downes[/https://www.geogebra.org/m/n8zan98h]
Algebra with Mr Downes https://www.geogebra.org/m/w2gj2a3n
Statistics and probability with Mr Downes
Sets with Mr Downes
Selected Junior Cycle Skills with Mr Downes
Calculus with Mr Downes
The Junior Cycle specification lays the groundwork for the transition from arithmetic to algebra. Learners explore representations of numbers and the connections between them, as well as the properties and relationships of binary operations. Learners should learn to use calculators strategically where computation by hand and/or mentally is impractical or less efficient.
Leaving certificate learners work on proof and become more proficient at using algebraic notation and the laws of arithmetic and induction to show that something
is always true.
Miscellaneous Links
http://oeis.org/A006881
https://im.kendallhunt.com/MS/teachers/2/2/1/index.html
https://www.geogebra.org/m/q3FFs5X3
https://mathvox.com/
ADD ELEMENT
Table of Contents
Motivation and Review
- Year Zoom
- Clockface with Roman Numerals
- roman numeral conversions
- Equivalent Roman Notation Numbers
- Place Value Cards - Input
- Place Value Cards - Random
- Three-digit whole numbers
- moodle KOPFRECHNEN Addition/Subtraktion rationale Zahlen(2)
- Interesting Math of Phi (Part I)
- Multiplying integers (Copy)
- Adding and subtracting a negative integer
- Numberline
- Express in Scientific Notation
- Percentages ,prices and sales
- Counting Movement of Point to Region
- Integers Addition on Number line
- A multiplication tables tester
- Commutative Law of Multiplication n1b
- Copy of Commutative Law of Addition
- Suma de natural més fracció inferior a 1
- Differenzen zuordnen
- Practica la tabla de multiplicar
- Number Representation
- Adding numbers to 20
- Numeri fino all'otto
Properties of Arithmetic
Basics and the Number Line
- What's the number?
- Quiz on Number Line
- Integer number line
- What's the number? -- decimal version
- Opposite of an integer
- Horizontal, vertical and slanted Number Lines.
- Place Value: Addition
- Inequality: Graph Illustrator
- Hundreds Grid
- NUMBER LINE
- InequalityofIntegers-modified-dhabecker-material-12604
- Weird Rounding
- Copy of Broken Clock (minutes on fives)
- Quiz on Addition and Subtraction of Directed Numbers (1)
- Adding Double Digits
- Quiz on Mixed Arithmetic Operations of Positive Integers
- Addition or Subtraction (100)
- Absolute value of an integer
- Integers Addition
- 小二 | 乘法的認識
- Randomized tablesquare - export class set as PDF
- Quiz on Multiplication and Division of Directed Numbers
- Multiplication Practice
- Integer Multiplication
- Times tables in circle sectors
- Seeing Divisibility
- Find Mistakes
- multiplication table-1
- Multiplication Inventory
- Units Digits in Arithmetic
Integers
- Quiz on Addition and Subtraction of Directed Numbers (2)
- Integer Addition
- Integer Subtraction
- Integer Division
- Thermometer - Positive and Negative Numbers
- Copy of Algebraic sum
- Addition and Subtraction of Directed Numbers (2)
- Addition and subtraction of integers
- Adding Integers
- Cliffs and Caves
- Non-negative integers shown on the number line
- square numbers
- Add and Subtract Integers with Counters
- Make a Two-Digit Number
- Liczby trójkątne i czworokątne
- Copy of Triangular Number
- The sum of the first N odd numbers
- Curious Corridors of Numbers
- Polygons and Diagonals
- Adding Odd and Even Combinations (Updated)
- Sum of First n Cubes 首n個立方數之和
- Sum of Squares & Perfect Square 平方和與完全平方
- Nombres Hexagonaux centrés (reprise)
- Nombres Carrés (reprise)
- Nombres Triangulaires (reprise)
- Test your Reflexes!
- Ten Frames
- Effect of changing zero on integer number line
Order
Primes-OL Leaving Cert
- sieve of eratosthenes
- Prime Factors - step by step
- Prime Factors 2 to 150
- Prime Factorisation of Positive Integers
- Smallest k such that m × k is a perfect cube
- Fundamental Theorem of Arithmetic
- Prime Factorization
- Primes with variation of " t "
- Sieve of Eratosthenes
- Writing a number as a product of its prime factors
- Factorization - Visual illustration of divisor pairs
Primes -Higher Level
LCM and GCF
Indices
- Integer Base/Exponents
- Quiz on Concept of Power
- Meaning of Negative Indices 負指數的意義
- Quiz on Negative Indices 負指數：測驗
- Quiz on Laws of Indices
- Scientific Notation 科學記數法
- Quiz on Scientific Notation 科學記數法：測驗
- Exponential (index) notation
- Graphs of Exponential Functions 指數函數的圖像
- The meaning of indices (no negative)
- Comparing Large Numbers w a Number Line
- Scientific Notation-Section 4.1
- Scientific Notation
- multiplying powers of 2
- Law of exponents
- Forest Decay
- Fractional Exponents-Section 4.3
- Practice with steps: Solving Indices Equation types Ex4
Rationals
- Ordering Fractions
- Fractions of Shapes
- Fraction Models
- TR KAY - Equivalent Fractions
- Improper to Mixed Fractions
- Mixed to Improper Fractions
- Quiz on Arithmetic Operations of Fractions
- Exploring Multiplying Fractions by Partitioning
- Compare proper and improper fractions
- Rational and Irrational Numbers in Decimal Form
- Arranging fractions, decimals, and percents
- Patterns in decimals (rational / recurring/ irrational)
- Fractions on Number Line
- Dividing Fractions
- Operations with fractions
- Ordenar fracciones
- RationalSort
- Identifying Rational vs Irrationals
- Converting Decimals to Fraction
- Moving Place Value
- The Power of Ten
- Copy of NS1-03-P1 Compare Numbers with Number Line
- Fracción de un número. Fraction of a number.
- Adding Unit Fractions
- Adding and subtracting of mixed numbers
Real
- Circumference and Pi
- Representació aproximada de nombres reals. Fita de l'error
- Construcció d'un rectangle auri
- Number Theory Sets
- Venn Diagram Real Numbers
- locating reals on a number line
- Sets of Real Numbers 8th
- The Real Number System
- The Real Number System
- Quiz on Estimation of Values of Surds 估算根式的值：測驗
- Simplify Surds Recognise the integer
- Surds question generator
- Simplifying Surds
- adding-surds
- Surd Rules
- Surds
- REAL NUMBERS
- Classifying Real Numbers
- Simplifying Radicals Assessment
- Surd Spiral (Spiral of Theodorus)
- Spiral of Pythagoras
- Pythagoras Theorem and its Converse -free
- SurdText example
Complex
Enrichment
- Quiz on Divisibility by 2, 3, 4, 5, 6, 8, 9 and 10
- Diagonal Problem
- Diagonal Problem Explained in Chinese!
- From Binary/ Hexadecimal To Denary 二／十六進制轉十進制
- From Denary to Binary/ Hexadecimal 十進制轉二／十六進制
- Divisibility Tests
- Can we divide by 3
- Dividing in a Ratio 按比分物
- Double Bracket Expansion
- Pascal's Triangle
- Fibonacci numbers
- Kolorowy płot / Colorful fence
- Pierwiastek sześcienny / Cube roof
- Teacher Links
- Teacher Links
- Sistema de numeració decimal i binari
- Simplify Expressions with Exponents-Section 4.2
- 2_get_2geh_rekenen2
PDFs
Logs
Special Numbers
Relegated
- Our brilliant place-value notation
- Place Value with Number Dots
- Broken Clock (minutes on fives)
- What's My Number? (Multiple formats)
- Lined Paper 單行紙 (Landscape 橫向)
- Grid Paper 方格紙 (Portrait 縱向)
- Grid Paper 方格紙 (Landscape 橫向)
- Distance et unité de longueur
- Converting cm and mm
- Part-Part-Whole Model using Bar and Circles
- Find the L.C.M
- HCF and LCM Formative Assessment
- Prime
- Prime Factors
- Prime Factorization Activity with Help
- Find the GCF of up to 5 numbers.
- GEOMETRIA AMB EL MCD I EL MCM
- Multiplicative Commutativity
- Distribution of Primes