Fun in the sun with converting Percents, Decimals, and Fractions CCSS.MATH.CONTENT.4.NF.C.5

My learning progression is on converting percents, decimals, and fractions. It will lead to comparing ratios and using fractions and percents for ratio lengths. I will cover how to convert from percent to decimal to fraction and vise versa. I will start off with a hinge question then go in with my lesson. I plan to have the students in groups of four and they will be handed a worksheet of conversion.

learning progression percents edtpa-12sg8wn

 

 

Fun with Multiplying Binomials CCSS.MATH.CONTENT.HSA.SSE.A.1

This learning progression is made to take place in a high school Algebra classroom of 25 students. This class consists of freshman and sophomores. The desks in the classroom are arranged in groups of four. The lesson is based off the Algebra I textbook. The students have prior knowledge of binomials and what they look like and prior knowledge on the GCF.
learning progression-tt6ir7

Finding height using trig ratios SRT.C.8

Title (primary CCSS Math with Title)

CCSS.MATH.CONTENT.HSG-SRT.C.8.

  • Similarity, Right Triangles, & Trigonometry

Alignment to Content Standards
Define trigonometric ratios and solve problems involving right triangles
Use trigonometric ratios and Pythagorean Theorem to solve right triangles in applied problems.

Task
Word Problem:
Isabel just planted a new tree and attaches a guy wire to help support the tree while its roots take hold. A 6-foot wire is attached to the tree and to a pole in the ground. From the pole in the ground the angle of elevation of the connection with the tree is 52º. Find to the nearest tenth of a foot, the height of the connection point on the tree. Use the diagram below to help model the problem. Label diagram if desired.

Figure 1
Commentary
The purpose of this task is so students can apply their combination of skills of similar triangles, ratios, right triangle trigonometry and their knowledge on the Pythagorean theorem to solve problems in mathematics related to real life scenarios.

Solution

The “angle of elevation” is from the ground up.
It is supposed that the tree is vertical which makes it perpendicular with the ground.
This problem is a sine problem since it involves opposite and hypotenuse.
sin52°=h/6; 6sin⁡52°=h; h≈4.7 feet

Pizza Problem GMD.A

Image result for pizza
Problem:
If I ordered a pizza with an area of 200 inches and a height of 3 inches then what is the volume of this pizza?
CCSS-Math:
HSG-GMD.A.3 Geometric Measurement & Dimension
Explain volume formulas and use them to solve problems.

I choose this activity because who does not love pizza. We are in football season again and everyone is always enjoying a slice of pizza. This gives the students a chance to work out a math problem that involves something they actually might like and get them interested in how to find volumes of cylinders or any other figure. The teacher could  present this problem in many different ways. The teacher could actually order a pizza for the class and have them get into groups of 4 and try and solve it. Once each group gets the solution to the problem then they could share their answers to the whole class and then enjoy a delicious slice of pizza.

Let’s Temp. Our Way Through Linear Equations HSA-CED.A.2

Math teachers are always wondering on how to use real world problems in any mathematical lesson. I think that a good way to do this is to do something that will get the attention of all students and do something they can all engage in. For this assignment we will be using the LabQuest2 and two temperature probes to measure the temperature of a cup of hot water using both Fahrenheit and Celsius.

Image result for dueling temperature probes labquest2

This will be done by connecting the two temperature probes  into channel 1 and 2 of the Labquest2. The students will then turn it on and go to the home button. They will then select the red temperature and make it Celsius and select the blue temperature and make it Fahrenheit. Once they do this they will get the cup of hot waterImage result for cup of water  and insert the probes inside then they will select the green arrow that will be shown on the bottom left hand corner of the screen to collect the temperatures for both Celsius and Fahrenheit. After 1 minute the students will stop the collecting the data by pressing the red rectangle. Then they will go to the analyze menu and select curve fit. Then they will select the red temperature and then click linear and write down their regression equation on the worksheet handed out to them for Celsius and then repeat for the blue temperature(Fahrenheit). The students who will be in groups of three will compare and contrast these temperatures graph them both on a piece of paper and then form a linear equation for both of the different scales. Then the students will use the information to tell whether the equations are the same, parallel, or intersecting and if they intersect where?
The assignment relates to the Common Core Standard
CCSS.MATH.HSA-CED.A.2 Creating equations that describe numbers or relationships

Lets temp our way through linear equations worksheet-pca5rc