Math 6d (online), 2021-22

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Room: Online
Time: Thursday 5:30PM - 7:00PM
Grades: 6-7
Prerequisites: Math 5 or placement test
Material fee: $0.00

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Description: Main topics studied in Math 6: Basic logic (knights and knaves, logic operations) Set theory basics (basic operations and Venn diagrams) Linear equations continued. Simple inequalities (Review) Powers: an am=an+m . Multiplication and division by powers of 10 (Review) Square roots. Rational and irrational numbers Arithmetic and Geometric Progressions Probability. Basic combinatorics: permutations Similarity; relation with areas and volumes Constructions with ruler and compass: Bisector, a circle inscribed in an angle, central angle, diameter perpendicular to a chord. Coordinate plane and graphs of simple functions System linear equation

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Homeworks

These homeworks are copyrighted material, posted here for use by SchoolNova students and parents. Everyone else is welcome to print a copy of these materials for their personal use; any redistribution or commercial use is prohibited

• Assigned on 09/19: Homework: Review of Math 5  |  
  Posted 09/23, due 09/30. Review of basic algebraic expressions, power rules, scientific notation. Check Google classroom for additional examples with solutions.
  
• Assigned on 10/3: Homework: Math 5 review  |  
  Review from Math 5 - binary numbers, powers, equations, and probability. Date assigned 9/30/2021. Date due 10/07/2021
  
• Assigned on 10/17: Homework: Introduction to Logic - Truth tables  |  Truth table templates: Table templates for Knights and Knaves problems  |  
  Introduction to Logic - solving Knights and Knaves problems using truth tables. HW was assigned on 10/07/2021, due 10/14/2021.
  
• Assigned on 10/21: Homework: Order of logic operations, compound statements  |  
  Order of Logic operations and compound statements evaluation. Truth table for if -> then.
  
• Assigned on 10/24: Homework: Logic variables and operations AND, OR, NOT  |  
  Introducing logic variables, truth tables for operations AND, OR, NOT.HW was assigned on 10/14/2021, due 10/21/2021.
  
• Assigned on 10/28: Homework: Logic review  |  
  Logic review: variables, operations, truth tables. Quiz preparation included.
  
• Assigned on 11/4: Homework: Construction with a ruler and a compass, introd  |  
  Instructions: In the homework, the lengths of the sides for any triangles. hexagons or other shapes are not given. When you read: "Given a segment with length a" this means that you simply take your ruler and without measuring length, draw a line. Call it line a (you still do not know how big it is but you can "measure it" by opening the compass to its length). If you need three lines, just draw 3 different lines with the straight edge of the ruler somewhere on the page and name them. Use the compass to "measure" them and used these lines in your construction.
  
• Assigned on 11/11: Homework: Construction with a ruler and a compass, bisector  |  
  Construction of a symmetry line (segment bisector) and a line through a point perpendicular to another line.
  
• Assigned on 11/18: Homework: Construction ruler/compass: angle bisector  |  
  Constructions with a ruler and a compass: angle bisector, a circle inscribed in an angle, inscribed and circumscribed circle in a triangle
  
• Assigned on 12/2: Homework: Construction ruler/compass and paper folding  |  
  Construction with a ruler and a compass and paper folding
  
• Assigned on 12/9: Homework: Geometry: Central and inscribed angle, arc  |  
  Central and inscribed angle, corresponding arc, diameter perpendicular to a chord.
  
• Assigned on 12/16:
  No homework assigned during the winter break - enjoy your break!
  
• Assigned on 01/13: Homework: Coordinate system, points, distance between points  |  
  Coordinate system, points, distance between points, simple functions
  
• Assigned on 01/20: Homework: Equation and graph of a line  |  
  Graph, function, equation, and graph of a line
  
• Assigned on 01/27: Homework: Graph of a parabola  |  
  Introduction to parabola: sketching quadratic function and interpreting the meaning of the coefficients
  
• Assigned on 02/3: Homework: Adding graphs  |  
  Adding two graphs using sketches of line, parabola, and other simple graphs
  
• Assigned on 02/10: Homework: Introduction to Sets  |  
  Set notation, DeMorgan's Laws, Venn diagrams
  
• Assigned on 02/17: Homework: Sets, counting  |  
  Sets: inclusion-exclusion principle and product rule for counting
  
• Assigned on 03/3: Homework: Introduction to probaility  |  
  Introduction to probability, product rule
  
• Assigned on 03/10: Homework: Permutations and combinations  |  
  Introduction to counting using permutations and combinations
  
• Assigned on 03/17: Homework: Dependent probability  |  
  Introduction to dependent probability
  
• Assigned on 03/24: Homework: Algebra review  |  
  Formulas for fast multiplication, equations with absolute value
  
• Assigned on 03/31: Homework: Arithmetic sequence, basic definitions  |  
  Arithmetic sequence; calculating first terms, common differences, sums
  
• Assigned on 04/7: Homework: HW 24 arithmetic sequences practice  |  
  Arithmetic sequences - practice
  
• Assigned on 04/14: Homework: Introduction to geometric sequences  |  
  Geometric sequences and sums
  
• Assigned on 04/28: Homework: Solving systems of linear equations  |  
  Solving a system of linear equations by substitution. Use this to solve problems with geometric sequences.
  
• Assigned on 05/5: Homework: Solving systems of linear equations Part 2  |  
  Solving system linear equations using substitutions and elimination
  
• Assigned on 05/12: Practice test: practice test for math 6  |  
  There is no homework assigned today. Please continue to review the topics from this year and try to solve the Practice test.