| Full lesson | Create for a teacher a set of content for giving a lesson, beginning with the lesson plan. Each new block of materials must begin with an H1 heading (other subheaders must be H2, H3, etc). When you describe required pictures, write those descriptions in curly brackets, for example: {A picture of a triangle} |
| Which subject | Mathematics |
| What topic | probability |
| What length (min) | 30 |
| What age group | Year or Grade 10 |
| Class size | 20 |
| What curriculum | |
| Include full script | |
| Check previous homework | |
| Ask some students to presents their homework | |
| Add a physical break | |
| Add group activities | |
| Include homework | |
| Show correct answers | |
| Prepare slide templates | |
| Number of slides | 5 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Probability
Year 10
Mathematics
30 minutes
20 students
This lesson plan conforms to the New Zealand National Curriculum for Mathematics, focusing on students' understanding of probability and its application.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Homework Check | 5 mins | Review homework from the previous lesson. Provide answers without individual student presentations. |
| 2 | Introduction to Probability | 5 mins | Briefly introduce probability concepts. Discuss real-world examples where probability is applied. |
| 3 | Distributing Printable Cards | 5 mins | Hand out printable cards to each student. Explain how they will use these cards during the lesson. |
| 4 | Guided Practice | 10 mins | Provide examples of probability problems. Guide students in filling out their cards with their answers. |
| 5 | Collecting and Checking Cards | 3 mins | Collect the cards for random checking of completed work. Review common mistakes/clarifications. |
| 6 | Assigning Homework | 2 mins | Assign homework related to probability exercises to reinforce concepts learned during the lesson. |
"Good morning, everyone! I hope you all had a chance to review your homework from our last lesson. Let's take a few minutes to quickly go over the answers together. Please take out your homework sheets.
As I read out each question, I want you to check your answers. If you disagree with my answers, I’d like you to make a note of it, and we can discuss it later.
Let’s begin with question one…"
"Now that we’ve completed the homework check, let’s dive into today’s topic: Probability.
Probability is the study of uncertainty and the chance of certain events occurring. For example, when you flip a coin, there are two outcomes: heads or tails. Each of these outcomes has a probability of 0.5, or 50%.
Think about real-life situations where you might think about probability. Can anyone raise their hand and share an example? Yes, the weather forecast is a great one! If there’s a 70% chance of rain, it informs our choices, like whether to bring an umbrella.
Today, we’ll explore how to calculate probabilities, and understanding these concepts will help you make informed decisions in your daily lives."
"Next, I will hand out these printable cards. Each card contains some exercises that we will be working on shortly.
Can you please take one card and ensure you have a pen or pencil with you?
These cards are important as they will help guide your understanding of probability concepts. You’ll write down your answers on these cards, so keep them handy!"
"Let’s start some guided practice! I’m going to present a few probability problems on the board.
For our first problem: 'What is the probability of rolling a 3 on a standard six-sided die?'
Let’s think through this together. There’s one outcome that gives us a 3, and there are six possible outcomes when rolling the die.
So, the probability is… right, 1/6!
Now, I want you to use your cards and write down that answer. Please make sure to show your working, just like I did.
Let’s try another one. 'If you pull a card from a standard deck of 52 cards, what’s the probability it will be a heart?'
Discuss how many hearts there are in the deck, and what the total number of cards is.
Great! Would someone like to share the probability you calculated? Yes, 1/4! Perfect job! Keep filling in your cards with your answers to these problems, and I will walk around the room to help."
"Alright, time’s up on that practice! Now, I need everyone to pass your cards to the front.
I’m going to randomly check some of them to assess how everyone is doing. Don’t worry, I won’t be focusing on individuals, just the overall understanding.
As I’m reviewing these, let’s talk about any common mistakes. If anyone calculated a different probability than what we discussed, let's clarify that concept together.
Did anyone find anything challenging? Yes, understanding the total outcomes can sometimes trip us up!"
"Before we wrap up today’s lesson, I want to assign some homework to help reinforce what we've learned.
Please take out your homework sheets! You will find exercises on probability that we discussed in class today.
Make sure to complete the first five questions for our next lesson. Remember, practice is key to mastering these concepts.
If you have any questions while you’re working on your homework, don’t hesitate to reach out!"
"Thank you for your attention today! Have a wonderful day ahead, and I look forward to seeing how you all do with your homework!"
What is the probability of drawing an Ace from a standard deck of 52 playing cards? Show your working.
If a standard six-sided die is rolled, what is the probability of rolling an even number? Please explain your reasoning.
You flip a coin three times. What is the probability of getting exactly two heads? Provide your calculations.
A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of randomly selecting a blue ball? Show your working.
In a class of 30 students, 18 students have brown eyes. What is the probability that a randomly selected student has brown eyes? Explain your answer.
If you roll a die, what is the probability of rolling a number greater than 4? Show your working and justify your answer.
A family has two children. If one of them is a girl, what is the probability that both children are girls? Explain your reasoning.
A jar contains 10 marbles: 4 red, 3 blue, and 3 green. If one marble is drawn at random, what is the probability it will not be red? Show all calculations.
What is the probability of drawing a spade or a heart from a standard deck of cards? Provide your calculations clearly.
If you toss a coin and roll a die at the same time, what is the probability of getting heads on the coin and a 5 on the die? Explain your answer with calculations.
| Question | Answer |
|---|---|
| What is the probability of flipping a coin and getting heads? | |
| If there’s a 70% chance of rain, what does that mean for your plans? | |
| How many possible outcomes are there when rolling a six-sided die? | |
| What is the probability of rolling a 3 on a standard six-sided die? | |
| If you pull a card from a standard deck of 52 cards, what is the probability it will be a heart? | |
| What are the two outcomes when flipping a coin? | |
| How can understanding probability help you in daily life? | |
| What does it mean if the probability of an event is 0? | |
| What does it mean if the probability of an event is 1? | |
| How many hearts are in a standard deck of cards? | |
| Can you give another real-life example where you use probability? | |
| What is the formula for calculating probability? | |
| Why is it important to show your working when calculating probability? | |
| What common mistake did students face while calculating probabilities? | |
| How can you ensure you have the correct total outcomes when calculating probabilities? |