• Tokyo Math Tutoring
  • About Online Lessons
  • Instructor Profile
  • Contact
  • Math Videos
  • SAT Math Lessons
  • Free Trial Lesson
  • Summer 2022
Tokyo Math - Math Tutoring for Students in Tokyo, Japan

Keili's Learning


Summer Topics
Proportions
Solving for a variable
Fraction, decimal, % conversions

Visualizing data & statistics
Writing linear equations
Graphing linear equations
​Constant of proportionality
Greatest Common Factor (GCF)
​Least Common Multiple (LCM)
Probability
Operations with rational numbers
Fraction operations
Basic finance​
Geometry
  • Area of 2D and 3D shapes
  • Circles
  • Surface area and volumes of prisms and cylinders
  • Arc length and sector area
​
Vocabulary
Constant
​Variable
Coefficient
Term
y-intercept
x-intercept
slope
​​Interest rate
Expression
​Equation
Tree diagram
​Mean
Median
Mode
Range
​Lower quartile
​Upper Quartile
Interquartile range
Mean absolute Deviation
Outlier
Circumference
Radius
Diameter
Interest
​Annually compounded interest
Principal
​Interest rate

Geometry Textbook Links

Chapter 1
https://www.emsisd.com/cms/lib/TX21000533/Centricity/Domain/4688/Topic%201.pdf

Chapter 2
https://www.emsisd.com/cms/lib/TX21000533/Centricity/Domain/4688/Topic%202.pdf

Chapter 3
https://www.emsisd.com/cms/lib/TX21000533/Centricity/Domain/4688/Topic%203.pdf

Chapter 4
https://www.emsisd.com/cms/lib/TX21000533/Centricity/Domain/4688/Topic%204.pdf
Homework
May 19

Systems of Equations Word Problems
cdn.kutasoftware.com/Worksheets/Alg2/Systems%20of%20Equations%20Word%20Problems.pdf

August 16

Writing linear equations (try problems #1 through 6 for the "Practice" problems, not the "Model Problems," but you can look at them for reference if helpful)
The answers are on the last page.
www.lsrhs.net/departments/mathematics/DoreyB/2014Algebra/Lines/linear%20word%20problems%20.pdf

Surface area of 3D shapes (try problems #1, 2, 7)
surface_area_of_3d_shapes.pdf
File Size: 123 kb
File Type: pdf
Download File


August 15

Here is a PDF for today's assessment.  If you really get stuck on a problem, just skip it and we will review the concepts tomorrow. 
keili_assessment_8-15-18.pdf
File Size: 232 kb
File Type: pdf
Download File


August 14

Area of Compound Shapes 2
area_of_compound_shapes_2.pdf
File Size: 248 kb
File Type: pdf
Download File

Find the area of the shaded region of the two shapes to the right.  This is more of a challenge problem.  You can tell me your answers tomorrow. 
Picture
Picture

August 13

Constant of proportionality video
www.youtube.com/watch?v=wXtzBbU_cl8

Surface area of 3D shapes video (it's a longer video, but you can try to get the surface area yourself first for each shape, and check to see if you get the right answer as she does the problems)
www.youtube.com/watch?v=ZJ-VMcbLTaU&t=1894s


August 12

Finding the area of composite shapes video
Tip: The speaking is a little bit slow, so you might want to change the speed to 1.5 times faster in the video settings.  The settings button is the one that looks like a gear.
www.youtube.com/watch?v=by9-_95Zn08

​
Area of compound shapes worksheet
Hint: Cut each shape into rectangles, triangles, or circles (or parts of a circle) and find the area of each before adding them up for the total area. 
Tip: Don't forget to look at the units and write them down as well for getting into that habit.
area_of_compound_shapes.pdf
File Size: 248 kb
File Type: pdf
Download File


August 11

Different types of graphs for data video
www.youtube.com/watch?v=rllw15xkmUU

How to calculate the Mean Absolute Deviation
www.youtube.com/watch?v=PwsXncM2pas

Notes for reference for statistics (please print for your reference - it might help for the worksheet problems for today)
​www.commoncoresheets.com/Math/Cheat%20Sheet/Statistics/English/1.pdf

Center and spread of data (only problems #1, 2, and 3)
cdn.kutasoftware.com/Worksheets/PreAlg/Center%20and%20Spread%20of%20Data.pdf

August 10

Annually compound interest video
www.youtube.com/watch?v=Va2UpyP_Kn4
​
Annually compound interest worksheet (only do problems #1, 3, 4, 6, 7)
Hint: When it says, "total return," it means how much money will you get back.  In other words, how much is the amount you deposited worth now.
0.tqn.com/z/g/math/library/Worksheets/Compound-Interest-Worksheet-1.pdf

Graphing linear equations
Hint 1: Find the y-intercept first, then use the slope to graph the rest of the line.
Hint 2: If you need to graph an equation like x=4, that is a line where x is always 4, and y can be anything, which means it is a vertical line.
cdn.kutasoftware.com/Worksheets/Alg1/Graphing%20Lines%20SI.pdf

August 9

How to find the greatest common factor with variable expressions video
www.youtube.com/watch?v=_01wqwsb66E

GCF worksheet (try all odd problems)
Hint: for #17, there are 3 expressions, and you need to find the common factors for ALL THREE!
cdn.kutasoftware.com/Worksheets/PreAlg/Greatest%20Common%20Factor.pdf

GCF and LCM worksheet
Hint: It might be easiest if you found the greatest common factor first, and then the least common multiple, using the same way we did during the lesson today.  We made a table with factor pairs to find the GCF first, then multiplied the GCF by the other two factors to find the LCM.
lcm_gcf.pdf
File Size: 18 kb
File Type: pdf
Download File


August 8

This is an assessment on about half of the concepts we have looked at.  I will post the other half on a different day.  Do all the problems on your own and without a calculator.  Do your best and if you don't know how to answer a question after giving it a good try, just move on to the next problem.
keili_assessment_8-8-18.pdf
File Size: 39 kb
File Type: pdf
Download File


August 7

Adding mixed numbers video
www.youtube.com/watch?v=pynfj2bYRms

Subtracting mixed numbers video
​www.youtube.com/watch?v=zPOSnD02DQc&t=11s

Multiplying mixed numbers video
​www.youtube.com/watch?v=HQ3EXyW36es

Mixed number addition and subtraction problems
​www.onlinemathlearning.com/fractions-worksheets.html

​
Mixed number and fraction multiplication word problems (try problems # 1, 2, 4, 5, 7, 8, 10)
​www.commoncoresheets.com/Math/Fractions/Multiplying%20Fraction%20Word%20Problems/English/1.pdf

August 6

Here is a set of videos for adding, subtracting, multiplying, and dividing with fractions.  Tomorrow will focus more on mixed numbers.

Adding and subtracting fractions video
www.youtube.com/watch?v=52ZlXsFJULI&t=315s

Multiplying fractions video
www.youtube.com/watch?v=qmfXyR7Z6Lk

Dividing fractions video
www.youtube.com/watch?v=1xYkNYDPybE

Below is a PDF you can download to practice adding, subtracting, multiplying, and dividing fractions.
mixed_fractions.pdf
File Size: 27 kb
File Type: pdf
Download File


Day 1
​
Spotting misleading graphs video (there are no questions on this, but just for your information in being a critical interpreter of graphs)
https://www.youtube.com/watch?v=E91bGT9BjYk

​Multi-steps in solving for a variable video
www.youtube.com/watch?v=LDIiYKYvvdA

Hint - In order to solve for a variable, remember the steps you can often take to make things simple:
1) Combine like terms or simplify on one side of the equation
2) Get the variable by itself by doing the REVERSE order of PEMDAS, which is SADMEP

Two step equations to solve for a variable (try the even problems only)
cdn.kutasoftware.com/Worksheets/PreAlg/Two-Step%20Equations%20With%20Integers.pdf

Day 2

​Circles, circumference, and area video
www.youtube.com/watch?v=O-cawByg2aA


​Circumference and area (try the even problems only)
Useful formulas: C = πd   |   C = 2πr   |   d = 2r   |    A = πr^2   (area = pi times r squared)
Hint: Determine which formula you will need to solve a problem and plug in the values that are given to you in order to solve for what you need to figure out.
cdn.kutasoftware.com/Worksheets/Geo/11-Circumference%20and%20Area%20of%20Circles.pdf

Combining like terms (try problems #1 to 10)
cdn.kutasoftware.com/Worksheets/PreAlg/Simplifying%20Variable%20Expressions.pdf

Day 3

Proportions video
​www.youtube.com/watch?v=USmit5zUGas
Proportions (try problems #1, 3, 5, 7, 15, 17) - you can use a calculator for #15
Hint: For harder proportion problems, remember to set up the proportion by keeping track of which units are on the TOP and the BOTTOM!  (Shown to the right).  Then multiply both sides by the denominator under x to get x by itself.
cdn.kutasoftware.com/Worksheets/PreAlg/Proportion%20Word%20Problems.pdf
Picture
Fraction - decimal - percent converserions
www.superteacherworksheets.com/percents/converting-fractions-decimals-percents_EASIE.pdf

Day 4

Volume video (only watch until 9 minutes into the video)
​www.youtube.com/watch?v=qJwecTgce6c

Finding the volume of 3D shapes
Hint: Use the formula - Volume = Base Area x Length
Make sure to figure out which face (side) has the Base Area (it is the face that is the same as another face on the opposite side).
www.mathworksheets4kids.com/volume/customary/prism-level1-easy-1.pdf

Setting up a linear equation video
www.youtube.com/watch?v=tHq1vg2B6iA

July 30

​Mixed Problems for Circles (Only Odd Problems)
cdn.kutasoftware.com/Worksheets/Geo/11-Circumference%20and%20Area%20of%20Circles.pdf

Linear Equations (do pages 5 through 7)
Hint: Make sure to adjust how much each line going to the left or going up is worth so that the graph fits well in the space shown.
http://rpdp.net/admin/images/uploads/resource_11336.pdf

July 26

Surface Area of Prisms (Problems #5, 9, 11, 12)
Hint: If you see a red square-like mark, it means it is a right angle.
cdn.kutasoftware.com/Worksheets/Geo/10-Surface%20Area%20of%20Prisms%20and%20Cylinders.pdf

Volumes of Prisms (#3, 5, 8, 10)
Hint: If you see a red square-like mark, it means it is a right angle.​
cdn.kutasoftware.com/Worksheets/Geo/10-Volume%20of%20Prisms%20and%20Cylinders.pdf

​Marble Slides
After you get to the page, click the blue button that says "Preview" or "Student Preview" to start the activity.  Change the equation of the line and press "Launch" to see if you can get the stars.  Have fun trying a few levels.
https://teacher.desmos.com/activitybuilder/custom/566b31734e38e1e21a10aac8

July 24

​Finding slopes (only odd problems)
Hint: for #25, solve for y first.
https://cdn.kutasoftware.com/Worksheets/PreAlg/Slope.pdf

Writing equations for lines
https://cdn.kutasoftware.com/Worksheets/PreAlg/Writing%20Linear%20Equations.pdf

Marble Slides
After you get to the page, click the blue button that says "Preview" or "Student Preview" to start the activity.  Change the equation of the line and press "Launch" to see if you can get the stars.  Have fun trying a few levels.
https://teacher.desmos.com/activitybuilder/custom/566b31734e38e1e21a10aac8

July 23

​Watch video on the slope-intercept form
https://www.youtube.com/watch?v=IL3UCuXrUzE

Watch video on how to graph lines with a negative fraction as a slope
https://www.youtube.com/watch?v=X9924cMM-OQ

Graphing Lines (Odd problems only)
https://cdn.kutasoftware.com/Worksheets/PreAlg/Graphing%20Lines%20in%20Slope-Intercept%20Form.pdf

Marble Slides
This is an online activity where you try to collect stars by making marbles hit them by graphing lines.  After you get to the page, click the blue button that says "Preview" or "Student Preview" to start the activity.  Change the equation of the line and press "Launch" to see if you can get the stars.  Have fun trying a few levels.
https://teacher.desmos.com/activitybuilder/custom/566b31734e38e1e21a10aac8

 July 20 (weekend homework)

Watch 2 min video on Eratosthenes calculating the size of the Earth
https://www.youtube.com/watch?v=Mw30CgaXiQw

Visualizing Data (all problems)
https://cdn.kutasoftware.com/Worksheets/PreAlg/Visualizing%20Data.pdf
​
Similar Figure Word Problems 
Hint: use proportions to solve these problems, and draw out the situation if you get stuck.
https://cdn.kutasoftware.com/Worksheets/PreAlg/Similar%20Figure%20Word%20Problems.pdf

Linear Equations (do the first 4 pages)
Hint: Make sure to adjust how much each line going to the left or going up is worth so that the graph fits well in the space shown.
http://rpdp.net/admin/images/uploads/resource_11336.pdf

Marble Slides
This is an online activity where you try to collect stars by making marbles hit them by graphing lines.  After you get to the page, click the blue button that says "Preview" or "Student Preview" to start the activity.  Change the equation of the line and press "Launch" to see if you can get the stars.  Have fun trying a few levels.
https://teacher.desmos.com/activitybuilder/custom/566b31734e38e1e21a10aac8

Watch the first 15 minutes of this video of the evolution of math in different civilizations (watch more if you want to...)
​https://www.youtube.com/watch?v=jrLQW1vQklE

Picture
Example for how to fill out problems on the "Linear Equations" activity.

July 19

Converting Between Fractions, Decimals, and Percents
https://cdn.kutasoftware.com/Worksheets/PreAlg/Fractions%20Decimals%20and%20Percents.pdf
Powered by Create your own unique website with customizable templates.