8th GrAdE MaTh DiStAnCe LeArNiNg

Topic / Lesson

Practice –

Choose either the paper & pencil activities or the online assignments to complete for each day. For Khan Academy you MUST log in!

Day 11 & 12 Sruface Area of Cylinders Quiz Paper & Pencil- Surface Area of Cylinders Quiz

Online – joinmyquiz.com (code 254267)

Day 13-26 Linear Equations Water Park Project or Khan Academy Assignments Due on Day 27 – April 30th

Day 13 Task 1 – Designing Your Park Paper & Pencil – Task 1

Online – Khan Academy: Intercepts from a Graph

Day 14 Task 2 – Naming your Coordinates Paper & Pencil – Task 2

Online – Khan Academy: Graphing from Slope

Day 15 & 16 Task 3 – Calculating the Slope Paper & Pencil – Task 3

Online – Khan Academy: Slope from Two Points

Day 17 Task 4 – Converting to Actual Dimensions Paper & Pencil – Task 4

Online – Khan Academy: Scale Drawings & Construct Scale Drawings

Day 18 & 19 Task 5 – Writing Linear Equations Paper & Pencil – Task 5

Online – Khan Academy: Point Slope Form

Day 20 &21 Task 6 – Solving for Systems of Linear Equations Paper & Pencil – Task 6

Online – Khan Academy: Systems of Equations with substitution &

Systems of Equations with graphing

Day 22 & 23 Task 7 – Water Park Logo Paper & Pencil – Task 8: Design logo for water park

Day 24 Task 8– Color and Finalize your Water Park Paper & Pencil – Task 8 & turn in project!

Online – quizizz.com/join (code 730746)

Day 25 & 26 Task 9– Organizing your Written Component Paper & Pencil – Task 7

Online – quizizz.com/join (code 691477)

Day 27 The Game Set – rules can be found on website or just

watch this video https://youtu.be/azaArSs-i0c

Online – visit https://www.setgame.com/set/puzzle and play the daily puzzle

Screenshot the number of sets you found and send it to your teacher.

Surface Area of Cylinders Quiz Day 11 & 12 April 1st and 2nd Name: ___________________________

1. Write the formula for each of the following:

Area of a Triangle: ________________ Area of a Parallelogram: ______________

Area of a Trapezoid: _________________ Area of a Circle: _________________

Area of a Rectangle: ______________ Circumference of a Circle: ________________

Surface Area of a Cylinder: _______________________________

Lateral Area of a Cylinder: ________________________________

2. Find the surface area of the following cylinder. Give your answer in terms of pi.

3. Find the lateral area of the following cylinder. Use 3.14 for pi and round to the nearest tenth.

4. Jacob uses an empty can for a project as shown below. He peels off the label of the can and

finds the area of the label. What is the approximate area of the can label? Use 3.14 for pi.

A. 56.52 in² B. 100.48 in²

C. 70.65 in² D. 169.56 in²

5. Johnny bought his girlfriend a new candle for her birthday. The candle is in the shape of a

cylinder with a height of 10 inches and a radius of 5 inches. If Johnny wraps the candle and

does not waste any paper, how much paper will he use?

Find the Area of each of the following:

6. 7.

8. Bicycles are often classified by wheel diameter. A common diameter is 26 inches. What is the circumference of this bicycle tire? Round to the nearest tenth.

9. Alice has two flying disks. One is 12 cm in diameter and the other is 24 cm in diameter.

Leaving the answer in terms of π, what is the difference in square centimeters between the areas of the two flying disks?

10. Nam and Brandon each have a cylindrical canister of Pringles. Nam’s cylinder has a diameter of 7 inches and a height of 13 inches. Brandon’s cylinder has a diameter of 5 inches and a height of 20 inches.

A. Whose cylinder has a larger surface area? _________________________________

B. What is the difference between the two? _________________________________

*BONUS*

1. What is the volume of a cylinder with base radius 2 and height 5? Use 3.14 for pi.

2. What is the volume of a cylinder with base radius 4 and height 5? Use 3.14 for pi.

4 in.

8 in.

Water Park Project Park Name: _________________ *FINAL PROJECT IS DUE TO BE TURNED IN ON APRIL 30th

0 0

TASK 1: Designing your Park Day 13 – April 3rd

You have recently been hired to create a blueprint for a water park. Your boss,

Gelatinous Harrington, is a very controlling person. She wants you to include specific

attractions and necessities in your design. First off, she wants it to be done on a large sheet of

graph paper so that she can apply her mathematical knowledge to make the park the best it

can be. Before starting your blueprint, identify the center of your paper, and use a ruler to

draw in the x and y axes. Then, plot the approximate entrance points (where the line starts!)

of each attraction on the graph paper and draw in the remaining part of the attraction around

it in a creative fashion. Try to spread them out as much as possible. Use a pencil to draw the

items and then go back and color them in with colored pencils.

Items to be included on the design are listed below:

-Help center

-Large whirlpool

-3 different water slides

-Toddler area

-Lazy river

-Concessions

-Gift shop

-Restrooms

-Security desk

TASK 2: Naming Your Coordinates Day 14 – April 6th

After planning out the layout and design of each water park attraction, you must

identify it’s location by using ordered pairs. Use your “entrance points” as the attractions

identifiable location, and fill in the chart below accordingly!

Location: Ordered Pairs: Location: Ordered Pairs:

Help Center (______ , ______) Lazy River (______ , ______)

Large Whirlpool (______ , ______) Concessions (______ , ______)

Water Slide #1 (______ , ______) Gift Shop (______ , ______)

Water Slide #2 (______ , ______) Restrooms (______ , ______)

Water Slide #3 (______ , ______) Security Desk (______ , ______)

Toddler Area (______ , ______)

TASK 3: Calculating the Slope Day 15 &1 6 – April 7h & 8th

After identifying each attraction’s location with ordered pairs, you are now ready to calculate the slope between attractions using the slope formula, Y2 – Y1

X2 – X1

Using a RED pencil and a ruler, MARK the direct path to/from the locations mentioned below. Calculate the slope of the line that is formed, and show your work in the space provided.

Help Center to Water Slide #1 Toddler Area to Concessions

Gift Shop to Restrooms Security Desk to Water Slide #2

Lazy River to Large Whirlpool Help Center to Gift Shop

Restrooms to Water Slide #3 Concessions to Lazy River

Water Slide #1 to Water Slide #2 Water Slide #2 to Water Slide #3

Water Park Project Part 2

Congratulations! After working hard to design your park on a coordinate system,

your supervisor is very pleased with your efforts and the results! Now that the planning stage

is finished, your park has been selected for construction. Site development is underway, and

you have been hired as a consultant to work with the development team. Your role is to apply

your math skills in the following tasks, which will then be submitted for review to your

supervisor. Keep your work neat and organized so that they can accurately assess your

abilities.

Task 4: Converting to Actual Dimensions Day 17 – April 9th

Your water park design has been drawn as a blueprint, but to build it, you will need actual dimensions in lieu of the unit dimensions. A large rectangular plot of land has been selected for development, and the city has given approval for construction. Knowing that the actual dimensions for the land is 301m x 196 m in size, determine the scale of your coordinate system.

1st: count the number of spaces along the length of your paper: ___________ spaces.

2nd: set a ratio equal to _________ spaces per 301m.

Now, use this ratio to solve for the actual unknown distances by setting up a

proportion and calculating. Show your work!

Help Center to Water Slide #1 Toddler Area to Concessions

Gift Shop to Restrooms Security Desk to Water Slide #2

Lazy River to Large Whirlpool Help Center to Gift Shop

Restrooms to Water Slide #3 Concessions to Lazy River

Water Slide #1 to Water Slide #2 Water Slide #2 to Water Slide #3

Task 5: Writing Linear Equations Day 18 & 19 – April 10th & 20th

In task 3 you identified direct paths between various park attractions by drawing them in with red lines. Now, you will show off your skills by writing equations for each of those red lines. Point Slope Formula: 𝒚 − 𝒚₁ = 𝒎(𝒙 − 𝒙₁)

Use the linear equation, y = mx +b and solve for B (the y-intercept). Use your slope (m) from task three and one of the identified endpoints of that line (x, y).

After solving for b, write each red line’s equation using only the value for slope and

the y-intercept value, leaving x and y as variables!

Help Center to Water Slide #1

Solve for B: Y = _____ X + _____

Toddler Area to Concessions

Solve for B: Y = _____ X + _____

Gift Shop to Restrooms

Solve for B: Y = _____ X + _____

Security Desk to Water Slide #2

Solve for B: Y = _____ X + _____

Lazy River to Large Whirlpool

Solve for B: Y = _____ X + _____

Help Center to Gift Shop

Solve for B: Y = _____ X + _____

Restrooms to Water Slide #3

Solve for B: Y = _____ X + _____

Concessions to Lazy River

Solve for B: Y = _____ X + ______

Water Slide #1 to Water Slide #2

Solve for B: Y = _____ X + _____

Water Slide #2 to Water Slide #3

Solve for B: Y = _____ X + _____

Task 6: Solving for Systems of Linear Equations Day 20 & 21 – April 21st & 22nd

By successfully writing equations to define each red line, you are now to solve for

where those lines might meet on your coordinate grid.

Select two lines, preferably two that cross on your blueprint, and use the

substitution method to solve for their intersection point.

Mark each intersection point using a YELLOW POINT on your blueprint.

Repeat this for a total of three intersecting lines.

Example problem:

𝒚 = −𝟐𝒙 + 𝟏𝟒 𝒂𝒏𝒅 𝒚 = 𝟑𝒙 – 𝟕 − 2𝑥 + 14 = 3𝑥 − 7𝑦 = −2(4.2) + 14

−2𝑥 = 3𝑥 − 21𝑦 = −8.4 + 14

−5𝑥 = −21 = 5.6

𝑥 = 4.2

A. Equations: ____________________ and ____________________

Solve for X: Substitute for Y:

Intersection point = ( _____ , _____ )

B. Equations: _____________________ and _____________________

Solve for X: Substitute for Y:

Intersection point = ( ____ , ____ )

C. Equations: ____________________ and _____________________

Solve for X: Substitute for Y:

Intersection point = ( _________ , _________ )

Task 7: Water Park Logo Day 22 & 23– April 23rd & 24th

Choose a name for your water park

Design a logo that has the name of your water park

The logo must include an acute triangle, an obtuse triangle, and a right triangle.

A transformation must also occur which needs to be described in a sentence or two

on the same page as your logo.

Task 8: Color your water park and Finalize your Work! Day 24 – April 27th

You are almost done! Take this day to color your waterpark and make it really look

great! Also, check over your work one last time to ensure everything is correct and looks good.

Linear Equations Cheat Sheet

Slope: is the 'steepness' of the line, also commonly known as rise over run or change

in y over change in x.

We are going to find the slope of the line that passes through (2,-2) and (4,1)

𝑚 =(𝑦2 − 𝑦1)

(𝑥2 − 𝑥1)

𝑦2 = 1 𝑦1 = −2

𝑥2 = 4 𝑥1 = 2

𝑚 =(1 − (−2))

(4 − 2) 𝑚 =

3

2

Converting to Actual Dimensions: Knowing that the actual dimensions for the land

is 301m x 196 m in size, determine the scale of your coordinate system.

1st: count the number of spaces along the length of your paper: 60 spaces.

2nd: set a ratio equal to 60 spaces per 301m.

3rd : decide what one space would equal in actual dimensions. 301/60 = 5.02m per space

Writing an Equation Point Slope Form: We will use the same points we have been

using (2,-2) and (4,1)

Point Slope Formula: 𝑦 − 𝑦₁ = 𝑚(𝑥 − 𝑥₁)

1. 𝑦 − −2 =3

2(𝑥 − 2)

2. 𝑦 + 2 =3

2𝑥 −

3

2(2)

3. 𝑦 + 2 =3

2𝑥 − 3

4. 𝑦 =3

2𝑥 − 5 𝑦 − 𝑖𝑛𝑡 = − 5

Intersection point = ( 4.2, 5.6 )

Water Park Project Part 3 - Written Reflection

As you prepare for the review of your work, there is one more task that needs completion. By communicating your deeds in a written format, you are communicating your understanding of the work that you have successfully completed. If communicated well, you may be promoted within your organization. Lastly, conclude your paper with a personal reflection of the work.

Task 9: Organizing Your Written Component Day 25 & 26 - April 28th & 29th

Look over the work that has been completed throughout the project. Summarize the objective of each task with one to two sentences.

Introduction: What was the main purpose/theme of the project?

Task One:

Task Two: Task Three:

Task Four: Task Five:

Task Six: Task Seven:

What might you change or include if you were to do this again?

How could the information you learned, the tasks you did, or the skills you developed help you or your community in the future?