MTH303(B) - Pre Algebra China Class (G4-G6)

This course will serve as an introduction to what Arithmetic's is and let the students have a deep understanding of the basics of prealgebra. Throughout the course, students will learn whole numbers, fractions and mixed numbers, decimals and percent's, ratio proportion, and signed numbers. Each of these topics will be first taught to students then there will be practice problems.

Live Instruction
Multiple Resources
Active Community
One-on-One Mentorship
Jacqueline Cai
Computer Science Instructor

This course will serve as an introduction to what Arithmetic's is and let the students have a deep understanding of the basics of prealgebra. Throughout the course, students will learn whole numbers, fractions and mixed numbers, decimals and percent's, ratio proportion, and signed numbers. Each of these topics will be first taught to students then there will be practice problems.


Course Content

Week 1:

  • Review of Basic Arithmetic rules
  • Identity of 1 and 0
  • Order of operations
  • PEMDAS
  • Distributive property
  • Youtube URL: https://www.youtube.com/watch?v=QGoC1EZ01Oc&list=PL-eUlmO9hHi0MIsjNuuIQ6AkSRC29WRU2&index=1
  • https://www.bilibili.com/video/BV1nf4y1g7DE?spm_id_from=333.999.0.0

Week 2:

  • Multiples of an integer & Divisibility
  • Introduction into Primes and Prime Factorization
  • How do we use Primes in Prime Factorization?
  • Least Common Multiple and Greatest Common Factor
  • Youtube URL: https://www.youtube.com/watch?v=QGoC1EZ01Oc&list=PL-eUlmO9hHi0MIsjNuuIQ6AkSRC29WRU2&index=2
  • https://www.bilibili.com/video/BV1Qq4y1V7Zv?spm_id_from=333.999.0.0

Week 3:

  • Review rounding of decimals and whole numbers
  • Review of fractions & ratios + word problems
  • Youtube URL: https://www.youtube.com/watch?v=QGoC1EZ01Oc&list=PL-eUlmO9hHi0MIsjNuuIQ6AkSRC29WRU2&index=3
  • https://www.bilibili.com/video/BV1Y44y1x7EQ?spm_id_from=333.999.0.0

Week 4:

  • How to add, subtract, multiply and divide decimals
  • Review Exponents + Negative Exponents & Square roots
  • Youtube URL: https://www.youtube.com/watch?v=QGoC1EZ01Oc&list=PL-eUlmO9hHi0MIsjNuuIQ6AkSRC29WRU2&index=4
  • https://www.bilibili.com/video/BV1iu411Z7Y4?spm_id_from=333.999.0.0


Week 5:

  • Adding, Subtracting, Multiplying, and dividing exponents.
  • (UPDATE) More Practice regarding exponents
  • Youtube URL: https://www.youtube.com/watch?v=QGoC1EZ01Oc&list=PL-eUlmO9hHi0MIsjNuuIQ6AkSRC29WRU2&index=5
  • https://www.bilibili.com/video/BV1gQ4y1D7TF?spm_id_from=333.999.0.0

Week 6: 

  • Review variables and basic algebraic expressions
  • 2 Step equations
  • More than 2 step equation
  • Distributive property


  • Introduction into inequalities
  • Understanding what the greater than and less than signs mean
  • Looking at inequality equations
  • Learning interval notation
  • Inequality word problems
  • Youtube URL: https://www.youtube.com/watch?v=QGoC1EZ01Oc&list=PL-eUlmO9hHi0MIsjNuuIQ6AkSRC29WRU2&index=6
  • https://www.bilibili.com/video/BV18q4y1d71H?spm_id_from=333.999.0.0

Week 7:

  • Introduction into plots and Linear Equations
  • Quickly go over-dependent and independent variables
  • Understanding the plot and coordinate system
  • Learn how to draw points on a plot 
  • Drawing standard linear equations
  • X-intercepts and Y-intercepts + Advanced linear equations
  • What are intercepts and why are they important
  • Drawing Inequality equations
  • Youtube URL: https://www.youtube.com/watch?v=QGoC1EZ01Oc&list=PL-eUlmO9hHi0MIsjNuuIQ6AkSRC29WRU2&index=7
  • https://www.bilibili.com/video/BV1MU4y1F7yU?spm_id_from=333.999.0.0

Week 8:

  • Introduction into slope-intercept form
  • Understanding how to draw graphs from slope intercept forms
  • Review
  • Review of all the subjects from previous weeks
  • Youtube URL: https://www.youtube.com/watch?v=QGoC1EZ01Oc&list=PL-eUlmO9hHi0MIsjNuuIQ6AkSRC29WRU2&index=8
  • https://www.bilibili.com/video/BV1V3411C7WT?spm_id_from=333.999.0.0

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