6th Grade Weekly Curriculum

Note:

• This topic summary is intended for parents and tutors, to just give a quick sense of what is coming up.
• Mental math is not listed here, although up through grade 7, it is practiced during most lectures and sometimes for individual work.  

Week 1

Lecture Topics (new topics)
Start of year pep talk
Review of fractions;  Casting out Nines;  Birthday math magic trick

Individual Work (skills and review)
Sheet #1 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Bizz-Buzz (game);  Puzzles

Week 2

Lecture Topics (new topics)
Divisibility Rules;  More fraction practice;  Solution to Birthday Trick

Individual Work (skills and review)
Sheet #2 from the 6th grade workbook;  Arithmetic Facts Flashcards

Group Assignments (puzzles, problem-solving, discovery, etc.)
Figure out birthday trick;  Puzzles

Week 3

Lecture Topics (new topics)
Long division;  Short Division;  Review Decimals (all four processes);  Repeating Decimals; 
Trick for multiplying 2 #s just over 100

Individual Work (skills and review)
Sheet #3 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Long Division Practice;  Puzzles

Week 4

Lecture Topics (new topics)
Intro to Exponents;  Mixed Number Practice;  Decimal Division

Individual Work (skills and review)
Sheet #4 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Unit Cost and Rates;  Halfway Problems; Puzzles

Week 5

Lecture Topics (new topics)
More practice of long division, decimals, and fractions

Individual Work (skills and review)
Sheet #5 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
“Line of Four” (game);  Puzzles 

Week 6  (First week of Geometry Main Lesson)

Lecture Topics (new topics)
Basic geometric constructions with a compass and straightedge;  12-division of the circle;  Limacon

Individual Work (skills and review)
Sheet #6 from the 6th grade workbook;  Work on geometric drawings and main lesson book pages

Group Assignments (puzzles, problem-solving, discovery, etc.)
Word problems;  Geometry construction puzzles

Week 7  (Second week of Geometry Main Lesson)

Lecture Topics (new topics)
More geometric constructions;  24-division of the Circle;  Rotation of Circles
Intro to Square Roots

Individual Work (skills and review)
Sheet #7 from the 6th grade workbook;  Work on geometric drawings and main lesson book pages

Group Assignments (puzzles, problem-solving, discovery, etc.)
Geometry construction puzzles;  Number Puzzles

Week 8  (Third week of Geometry Main Lesson)

Lecture Topics (new topics)
Nested Hexagons;  Parallel Line construction;  More complicated geometric drawings

Individual Work (skills and review)
Sheet #8 from the 6th grade workbook;  Work on geometric drawings and main lesson book pages

Group Assignments (puzzles, problem-solving, discovery, etc.)
Tricks for converting fraction to a decimal;  Geometry Practice Sheet 

Week 9

Lecture Topics (new topics)
Converting fractions to repeating decimals;  Unit cost;  Short division;  Divisibility rules 

Individual Work (skills and review)
Sheet #9 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Puzzles

Week 10

Lecture Topics (new topics)
US Measurement review (and conversion problems);  Estimation practice

Individual Work (skills and review)
Sheet #10 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discover new math tricks;  Tricks for converting fractions to decimals;  Measurement practice

Week 11

Lecture Topics (new topics)
Significant digits and rounding (with decimal long division);  US Measurement practice

Individual Work (skills and review)
Sheet #11 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discovering rules for Dividing by 9’s and 0’s;  Measurement word problems

Week 12

Lecture Topics (new topics)
Converting repeating decimals ↔ fractions;  Formulas for converting Celsius ↔ Fahrenheit

Individual Work (skills and review)
Sheet #12 from the 6th grade workbook;  Reading a ruler

Group Assignments (puzzles, problem-solving, discovery, etc.)
Converting repeating decimals ↔ fractions;  Formulas for converting Celsius ↔ Fahrenheit

Week 13

Lecture Topics (new topics)
More work with formulas;  Converting repeating decimals ↔ fractions;  Intro to the Metric System

Individual Work (skills and review)
Sheet #13 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Converting repeating decimals ↔ fractions;  Challenge!  Convert 0.07 into a fraction

Week 14

Lecture Topics (new topics)
The Metric System – Volume Length, and Weight;  More converting repeating decimals ↔ fractions

Individual Work (skills and review)
Sheet #14 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Converting repeating decimals ↔ fractions;  Formulas for converting Celsius ↔ Fahrenheit;
Puzzles

Week 15

Lecture Topics (new topics)
Prime numbers;  Listing all the factors of a number;  Working with mixed numbers; 
Common factors and common multiples;  More Metric practice

Individual Work (skills and review)
Sheet #15 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Factor puzzles;  Metric practice

Week 16

Lecture Topics (new topics)
Greatest Common Factor (GCF);  Least Common Multiple (LCM); Intro to Prime factorization

Individual Work (skills and review)
Sheet #16 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Finding factors of a large number;  Metric practice;  Puzzles.

Week 17

Lecture Topics (new topics)
Review and furthering of material in the past few weeks.

Individual Work (skills and review)
Do the first half of Sheet #17 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Puzzles;  Prime Factorization discovery

Week 18  (First week of Business Math Main Lesson)

Lecture Topics (new topics)
Four Types of Economies;  Intro to Percents;  

Individual Work (skills and review)
Write essays and create main lesson book pages for the Business Math main lesson.

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discussions about barter economies and money-based economies.

Week 19  (Second week of Business Math Main Lesson)

Lecture Topics (new topics)
Our modern economy;  Global trade;  GDP;  Lending and borrowing money (Interest)
Basic percent problems

Individual Work (skills and review)
Write essays and create main lesson book pages for the Business Math main lesson.

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discussions about global trade and GDP; 
Fraction-Decimal-Percent Conversion Table

Week 20  (Third week of Business Math Main Lesson)

Lecture Topics (new topics)
Banking and Stock markets;  Reading graphs (relating money and time);  Pie charts;  Business Formulas

Individual Work (skills and review)
Write essays and create main lesson book pages for the Business Math main lesson.

Group Assignments (puzzles, problem-solving, discovery, etc.)
Graph Analysis; 
Business Calculations (Rate of Pay, Price After Tax, Price After Discount)

Week 21

Lecture Topics (new topics)
Converting Percents ↔ Fractions ↔ Decimals; 
Abundant, Deficient, and Perfect Numbers
Mean, Median, and Mode

Individual Work (skills and review)
Finish Sheet #17 from the 6th grade workbook;  Additional percent practice problems

Group Assignments (puzzles, problem-solving, discovery, etc.)
Business Calculations;  Abundant and Deficient Numbers;  Perfect Numbers

Week 22

Lecture Topics (new topics)
Perfect numbers;  Percents practice

Individual Work (skills and review)
Sheet #18 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Abundant and Deficient Numbers.  Discover the fourth and fifth perfect numbers!

Week 23

Lecture Topics (new topics)
Start to give method for finding the fourth and fifth perfect numbers; 
Skills Review (fractions, divisibility, percents, prime factorization)

Individual Work (skills and review)
Sheet #19 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Puzzles

Week 24

Lecture Topics (new topics)
Finish method for finding the fourth and fifth perfect numbers; 
Intro to the game 30-Scratch;  Intro to Area and Perimeter

Individual Work (skills and review)
Sheet #20 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Pie Chart with percentages;  Play 30-Scratch;  Puzzles

Week 25

Lecture Topics (new topics)
Division with repeating decimals as answers;
Skills Review (fractions, divisibility, percents, prime factorization)

Individual Work (skills and review)
Sheet #21 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Percents practice;  Area puzzles;  Prime Factorization 

Week 26

Lecture Topics (new topics)
Prime factorization of Nines (9, 99, 999, 9999, etc.);  Rules for Repeating Decimals;
Intro to Rates (speed, distance, time) with three formulas (D=R·T;  R=D/T;  T=D/R)

Individual Work (skills and review)
Sheet #22 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Divisibility Magic;  Rules for Repeating Decimals;  puzzles

Week 27

Lecture Topics (new topics)
Intro to Ratios;  More work with Rules for Repeating Decimals;  Rates problems

Individual Work (skills and review)
Sheet #23 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Rules for Repeating Decimals;  Divisibility Magic (Part II);  Missing-Digit Multiplication

Week 28

Lecture Topics (new topics)
Rates;  Ratios;  Percents; Rules for Repeating Decimals;  

Individual Work (skills and review)
Sheet #24 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Rules for Repeating Decimals;  Puzzles

Week 29

Lecture Topics (new topics)
Intro to Exchange Rates;  Skills Review 

Individual Work (skills and review)
Take the 6th Grade Assessment Test

Group Assignments (puzzles, problem-solving, discovery, etc.)
Puzzles

Week 30

Lecture Topics (new topics)
Exchange Rate problems;  Square Roots;  Reciprocals 

Individual Work (skills and review)
Sheet #25 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Exchange Rate problems;  Puzzles

Week 31

Lecture Topics (new topics)
Compound Fractions;  Exchange Rate problems

Individual Work (skills and review)
Sheet #26 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Exchange Rate problems;  Puzzles

Week 32

Lecture Topics (new topics)
Review of the Year

Individual Work (skills and review)
Sheet #27 from the 6th grade workbook

Group Assignments (puzzles, problem-solving, discovery, etc.)
Puzzles