## Tiered Math Lessons

ALEKS first and then:

1. What is the probability of rolling a six using a six sided die?

2. What is the probability of getting an even number?

3. What is the probability of rolling a number less than 10?

________

ALEKS and:

How many different permutations can we get when we roll two six sided dice?

Make a chart showing all the permutations.

1. What numbers have the greatest probability of being rolled? What is the probability? Why?

2. What numbers have the least probability of being rolled? What is the probability? Why?

3. What is the probability that you would roll a 5?

______________________________

1. Give me an example of a linear equation.

2. Give me an example of an equation that is not linear.

3. Are these equations functions? How do you know?

1B. What do the x and y values represent in a system of equations?

2B. Do the variables have to be x and y?

__________________________________________________________________________

Solving Systems of Equations Using Elimination

Activator: What does elimination mean?

Mini Lesson: Solving Systems of Equations Example

Student Engagement: Practice work, Practice Online

Wrap-up: Check-in

_____________________________________________________________________________________

___________________________________________________________________________

Objective: To understand that there are many ways to express ratios. To be able to use ratios to solve problems

Activator: What is a Ratio?

Mini Lesson: Math is fun Lesson

Student Engagement: Practice problems from website and ALEKS

Wrap-up: How did you like today's lesson?

______________________________________________________________

What is Pi?

Objective: To understand that Pi is a ratio. To get comfortable using the formulas for the circumference of a circle.

Activator:

1. What is circumference?

2. What is diameter?

3. What is Pi?

Mini Lesson:

How can we measure diameter and circumference?

Student Engagement:

Measure and record the circumference and diameter of your group's object.

Analyze the results.

Wrap up: Tell me what Pi is.

**Probability Experiment Part 1****Objective:**To Explore probability using six sided dice.**Activator:**1. What is the probability of rolling a six using a six sided die?

2. What is the probability of getting an even number?

3. What is the probability of rolling a number less than 10?

**Mini Lesson:**Introduce the lesson. Students will keep track of their results using a chart and tally marks.**Student Engagement:**Each group will roll the dice 50 times and keep track of their results. We will then combine each groups results.**Wrap-up:**Share results________

ALEKS and:

**Probability Experiment Part 2****Activator:**Lets look at our data that you collected yesterday. Describe what you notice about it. Are any of the results surprising?**Mini Lesson:**The**counting principal**says that if the first event can occur*a*ways, and the second event can occur*b*ways, then two events can occur*ab*ways. These different ways are called**permutations**.How many different permutations can we get when we roll two six sided dice?

Make a chart showing all the permutations.

**Student Engagement:**1. What numbers have the greatest probability of being rolled? What is the probability? Why?

2. What numbers have the least probability of being rolled? What is the probability? Why?

3. What is the probability that you would roll a 5?

**Wrap-up:**Hand in your answers to the three questions above.**__________________________________________________________________________________**

Light the LightsLight the Lights

**Objective: To look for mathematical patterns****Activator: Activator Sheet****Mini Lesson: Light the Lights Online Activity****Student Engagement: Light the Light Again and ALEKS****Wrap-up: Clean up**

Extension: See the Light Online Activity

Extension: See the Light Online Activity

Hot Tubs!**______________________________________________________________________________________**Hot Tubs!

**Objective: To Learn about slope! (and work on ALEKS)****Activator: Tell a story about this hot tub:**

Mini Lesson: Learn about positive and negative slope, zero slope, and undefined slope.Mini Lesson: Learn about positive and negative slope, zero slope, and undefined slope.

**Student Engagement: Answer the hot tub questions here. (Tell a story and question 1).****Wrap-up: Ticket out - draw and label a positive slope and a negative slope.****_____________________________________________________________________****Hot Tubs (Part 2)****Objectives:**To review slope, and to learn about functions.**Activator:**Describe Positive Slope. Describe Negative Slope**Mini Lesson:**What is a function? and The Vertical Line Test**Student Engagement: Answer the hot tub questions here. (Questions 1 and 2 and another story.)****Wrap-up:**Hand in work.______________________________

**Tolls and Trolls, and Systems of Equations****Activator:**1. Give me an example of a linear equation.

2. Give me an example of an equation that is not linear.

3. Are these equations functions? How do you know?

1B. What do the x and y values represent in a system of equations?

2B. Do the variables have to be x and y?

**Mini Lesson:**Tolls and Trolls lesson on Khan Academy**Student Engagement:**What are some strategies that you could use to solve this system of equations? Write down what you think would be the best strategy.**Wrap-up:**Turn in your answers. Work on ALEKS.__________________________________________________________________________

Solving Systems of Equations Using Elimination

Activator: What does elimination mean?

Mini Lesson: Solving Systems of Equations Example

Student Engagement: Practice work, Practice Online

Wrap-up: Check-in

_____________________________________________________________________________________

**K****ing**__H__**ector**__D__**ied**__B__**y**__D__**rinking**__C__**hocolate**__M__**ilk****Objective:**To learn how to use the metric system.**Activator:**Why is the number 10 important when we talk about the metric system? Here is why!**Mini Lesson:**King Hector**Student Engagement:**Practice**Wrap-up:**Check work___________________________________________________________________________

**What is a ratio?**Objective: To understand that there are many ways to express ratios. To be able to use ratios to solve problems

Activator: What is a Ratio?

Mini Lesson: Math is fun Lesson

Student Engagement: Practice problems from website and ALEKS

Wrap-up: How did you like today's lesson?

______________________________________________________________

What is Pi?

Objective: To understand that Pi is a ratio. To get comfortable using the formulas for the circumference of a circle.

Activator:

1. What is circumference?

2. What is diameter?

3. What is Pi?

Mini Lesson:

How can we measure diameter and circumference?

Student Engagement:

Measure and record the circumference and diameter of your group's object.

Analyze the results.

Wrap up: Tell me what Pi is.