Teacher:
Room:
Time:
Thursday 17:30-19:00
Grades:
6-7
Prerequisites:
Material fee:
0
Enrollment cap:
14
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
Homeworks
These homeworks are copyrighted material, posted here for use bySchoolNova 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
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There is no homework assigned today. Please continue to review the topics from this year and try to solve the Practice test.
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Solving system linear equations using substitutions and elimination
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Solving a system of linear equations by substitution. Use this to solve problems with geometric sequences.
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Geometric sequences and sums
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Arithmetic sequences - practice
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Arithmetic sequence; calculating first terms, common differences, sums
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Formulas for fast multiplication, equations with absolute value
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Introduction to dependent probability
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Introduction to counting using permutations and combinations
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Introduction to probability, product rule
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Sets: inclusion-exclusion principle and product rule for counting
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Set notation, DeMorgan's Laws, Venn diagrams
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Adding two graphs using sketches of line, parabola, and other simple graphs
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Introduction to parabola: sketching quadratic function and interpreting the meaning of the coefficients
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Graph, function, equation, and graph of a line
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Coordinate system, points, distance between points, simple functions
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No homework assigned during the winter break - enjoy your break!
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Central and inscribed angle, corresponding arc, diameter perpendicular to a chord.
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Construction with a ruler and a compass and paper folding
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Constructions with a ruler and a compass: angle bisector, a circle inscribed in an angle, inscribed and circumscribed circle in a triangle
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Construction of a symmetry line (segment bisector) and a line through a point perpendicular to another line.
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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.
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Logic review: variables, operations, truth tables. Quiz preparation included.
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Introducing logic variables, truth tables for operations AND, OR, NOT.HW was assigned on 10/14/2021, due 10/21/2021.
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Order of Logic operations and compound statements evaluation. Truth table for if -> then.
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Introduction to Logic - solving Knights and Knaves problems using truth tables. HW was assigned on 10/07/2021, due 10/14/2021.
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Review from Math 5 - binary numbers, powers, equations, and probability. Date assigned 9/30/2021. Date due 10/07/2021
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Posted 09/23, due 09/30. Review of basic algebraic expressions, power rules, scientific notation. Check Google classroom for additional examples with solutions.