Get your students engaged with probability scale through the use of Mangahigh’s adaptive quiz ‘Probability scale’. Students will start with ‘Easy’ questions to help introduce new ideas and then move onto ‘Medium’ questions with some scaffolded support. Students then progress onto ‘Hard’ questions that really test their understanding, and the most able will move on to ‘Extreme’ questions that will challenge even the brightest students.
Example of blended learning lesson
Introduce your students to calculating the probability of single events through the use of Mangahigh’s adaptive quiz ‘Probability of single events’. Students will start with ‘Easy’ questions to help introduce new ideas and then move onto ‘Medium’ questions with some scaffolded support. Students then progress onto ‘Hard’ questions that really test their understanding, and the most able will move on to ‘Extreme’ questions that will challenge even the brightest students.
Example of blended learning lesson
Describe and predict outcomes from data using the language of chance or likelihood.
Understand what is meant by random (i.e. different results may occur from repeating the same experiment) and bias events and recognise them in a practical context.
Draw a tree diagram for conditional events. Find the probability of more than one successive event occurring using the branches of the tree diagram. Include multiplication of both decimals or fractions with and without a calculator. Find the probability of more than one mutually exclusive overall outcome occurring by summing the required results.
Calculate the relative frequency of an event for a changing number of trials. Understand that the relative frequency gives an estimation of the probability of an event. Calculate the expected number of outcomes for an event based on a fixed number of trials. Draw and interpret a graph showing the relative frequency plotted against the number of trials. Understand that the variations will settle down as the number of trials increase.
Calculate probabilities of successive independent or dependent events using p(A and B) = p(A) × p(B) or p(A and B) = p(A) × p(B if A has happened) without reference to tree diagrams. The formula notation is not needed. Use the multiplication formula to prove/disprove events are independent. Restrict examples to only one overall outcome, i.e. do not sum separate overall events.
List all possible equally likely outcomes for successive events including using a 2 way table. The terms sample space, possibility space, probability space need to be known. Include tossing coins and combinations from a menu and 2 dice rolls.
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Mangahigh turns our students into “maths addicts“ who compete with each other for top scores and gold medals. And since the quizzes reward both accurate recall of knowledge and deep conceptual understanding, every hour they spent having fun makes them better mathematicians. Five stars.
I have used Mangahigh in my classroom for over 5 years. What keeps me coming back are the math games and wide range of concepts that are offered. But the best part is the fact that the kids LOVE to play it. I have students beg me to assign them Teacher Challenges! Begging for more math work? I am ok with that!!
Kids loved it; an ADHD student who has NEVER before been able to focus in the last periods of the day; he wouldn't stop till he got a medal! Absolutely phenomenal! His mother is overjoyed, and the rest of the maths staff room were gobsmacked!