5th Grade Weekly Curriculum

Week-by-Week Topic Summary for Grade 5

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)
Beginning-of-the-Year Pep Talk
Factors; Multiples; Prime Numbers; Arithmetic and mental math with zeroes

Individual Work (skills and review)
Arithmetic Facts Practice (Speed sheets); Mental Math

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

Week 2

Lecture Topics (new topics)
Greatest Common Factor (GCF); Least Common Multiple (LCM); Flexible Long Division

Individual Work (skills and review)
Arithmetic Facts Practice (Speed sheets); Mental Math; Create Summary Pages

Group Assignments (puzzles, problem-solving, discovery, etc.)
Laws of Common Factors and Common Multiples; Flexible Long Division

Week 3

Lecture Topics (new topics)
What is a Fraction? Equivalent fractions; Simple Division with remainders; Making Change

Individual Work (skills and review)
Arithmetic Facts Practice (Speed sheets); Mental Math

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

Week 4

Lecture Topics (new topics)
Review of first three weeks

Individual Work (skills and review)
Vertical addition, subtraction, and multiplication practice

Group Assignments (puzzles, problem-solving, discovery, etc.)
Making change puzzles; Adding fractions that have different denominators

Week 5

Lecture Topics (new topics)
Adding fractions with different denominators; Multiplying two 2-digit numbers

Individual Work (skills and review)
Vertical addition, subtraction, and multiplication practice; Adding fractions

Group Assignments (puzzles, problem-solving, discovery, etc.)
Making change puzzles; Other puzzles;

Week 6 (First week of Freehand Geometry Main Lesson)

Lecture Topics (new topics)
Fractions of whole numbers (e.g., ⅔ of 35); Reducing fractions; Intro Mixed Numbers
Geometry: Drawing circles; Angles (right, obtuse, acute); triangles; rectangles

Individual Work (skills and review)
Vertical addition, subtraction, and multiplication practice; simple fraction practice;
Creating pages of geometric drawings

Group Assignments (puzzles, problem-solving, discovery, etc.)
Money problems; Halfway problems; Magic Square

Week 7 (Second week of Freehand Geometry Main Lesson)

Lecture Topics (new topics)
Geometric drawings; Adding, subtracting, and multiplying fractions

Individual Work (skills and review)
Vertical addition, subtraction, and multiplication practice; Fraction practice;
Creating pages of geometric drawings

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discovering the trick for multiplying fractions; Puzzles

Week 8 (Third week of Freehand Geometry Main Lesson)

Lecture Topics (new topics)
More complicated geometric drawings; Review all fraction work

Individual Work (skills and review)
Vertical addition, subtraction, and multiplication practice; Fraction practice;
Creating pages of geometric drawings

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

Week 9

Lecture Topics (new topics)
Making conversion tables for US Measurement (length, weight, volume)

Individual Work (skills and review)
US Measurement – measuring lots of objects; Vertical addition, subtraction, and multiplication practice;
Starting with a large number and then counting backwards and forwards by 1’s, 10’s, 100’s, and 1000’s

Group Assignments (puzzles, problem-solving, discovery, etc.)
Division of a String; Discovering Prime Numbers

Week 10

Lecture Topics (new topics)
Prime Numbers, Reading a (US measurement) Ruler with fraction markings;
What does it mean to say that 210 is divisible by 35?

Individual Work (skills and review)
Making a (US measurement) Ruler; Write out the 9’s table all the way up to 400

Group Assignments (puzzles, problem-solving, discovery, etc.)
US Measurement Tables and Conversion problems; Discover the divisibility trick for 9’s

Week 11

Lecture Topics (new topics)
Divisibility questions; Divisibility trick for 9’s; Measurement practice;

Individual Work (skills and review)
Measurement practice

Group Assignments (puzzles, problem-solving, discovery, etc.)
Number Guessing Game; Puzzles

Week 12

Lecture Topics (new topics)
Division with zeroes; Fact Families; Divisibility practice; Measurement practice

Individual Work (skills and review)
Measurement practice

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discovering trick for division with zeroes (e.g., 3500000÷500);
Discover the divisibility trick for 4’s

Week 13

Lecture Topics (new topics)
Remainders; Division with zeroes; Fact Families

Individual Work (skills and review)
Divisibility practice; Fact Families; Division with Zeroes

Group Assignments (puzzles, problem-solving, discovery, etc.)
Determining remainders when dividing by 4, 5, or 9, but without dividing; Puzzles

Week 14

Lecture Topics (new topics)
Division Circles ( → 27÷4 → 6r3 ↔ 6¾ → ); Fact Families; Skills Review

Individual Work (skills and review)
Division with Zeroes; Fact Families; Remainders; Divisibility.

Group Assignments (puzzles, problem-solving, discovery, etc.)
Laws of Multiplication, Division, and Remainders; Puzzles

Week 15

Lecture Topics (new topics)
Midyear Review, especially Fractions (Reducing, Adding , Multiplying)

Individual Work (skills and review)
Division with Zeroes; Fact Families; Division Circles; Divisibility; Calculation Practice

Group Assignments (puzzles, problem-solving, discovery, etc.)
Flexible Long Division; Common Multiples; Common Factors; Puzzles

Week 16

Lecture Topics (new topics)
Review Flexible Long Division; Thorough review of Fractions; Trick for Dividing Fractions

Individual Work (skills and review)
Flexible Long Division; Common Multiples; Common Factors; Puzzles

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discovering the trick for Fraction Division; Puzzles

Week 17

Lecture Topics (new topics)
Intro to Standard Long Division; Fraction practice

Individual Work (skills and review)
Fraction Main Lesson Book (Summary) page; Fraction Practice

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

Week 18 (First week of Decimals Main Lesson)

Lecture Topics (new topics)
Other Number Systems (Roman Numerals, Egyptian, Greek)
Other ways of representing fractions (Egyptian, Babylonian)

Individual Work (skills and review)
Create main lesson book pages; Research Assignment on number systems.

Group Assignments (puzzles, problem-solving, discovery, etc.)
Comparing the size of numbers in different systems; Comparing fractions

Week 19 (Second week of Decimals Main Lesson)

Lecture Topics (new topics)
Review of last week; Intro to Decimal Fractions

Individual Work (skills and review)
Create main lesson book pages; ; Fraction Practice

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discovering Properties of Decimal Fractions; Simple decimal ↔ fraction conversions

Week 20 (Third week of Decimals Main Lesson)

Lecture Topics (new topics)
Intro to Metric Measurement; More work with decimals

Individual Work (skills and review)
Create main lesson book pages; Decimal Fraction Practice, Make a Meter Stick

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discovering the trick for adding, subtracting, and multiplying decimal fractions; Work with Metric

Week 21

Lecture Topics (new topics)
Review everything from Decimals ML block; Converting decimal ↔ fractions

Individual Work (skills and review)
Practice common fractions, decimal fractions, and Metric

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discover the trick for multiplying a decimal by 10, 100, 1000, etc.;
Work with decimals; Work with Metric; Puzzles

Week 22

Lecture Topics (new topics)
Word problems; Metric Conversion practice

Individual Work (skills and review)
Decimal fraction practice; Common fraction practice
Converting between decimal fractions and common fractions;

Group Assignments (puzzles, problem-solving, discovery, etc.)
More practice with Decimals and Metric; Puzzles

Week 23

Lecture Topics (new topics)
Review of the Four Processes (of whole numbers); Word Problems; Unit Cost

Individual Work (skills and review)
Egyptian Rope! Word Problems; Puzzles

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

Week 24

Lecture Topics (new topics)
Sequences; Word Problems; Magic Trick

Individual Work (skills and review)
Word Problems; Sequences; Word Problems

Group Assignments (puzzles, problem-solving, discovery, etc.)
Word Problems; Sequences; Math Magic Trick

Week 25 (Beginning of “Wonder of Number” theme)

Lecture Topics (new topics)
Finish Magic Trick; Word Problems; Goldbach’s Conjecture; Square Numbers

Individual Work (skills and review)
Discovery! Triangular Numbers; Pascal’s Triangle; Powers of Two;
Main Lesson Book (or summary) Pages

Group Assignments (puzzles, problem-solving, discovery, etc.)
Goldbach’s Conjecture; Discovering prime numbers; Divisibility questions
Discover relationships between Triangular and Square Numbers

Week 26

Lecture Topics (new topics)
Properties of Pascal’s Triangle, and Square and Triangular Numbers; Review Divisibility Rules

Individual Work (skills and review)
Powers of 11; Halfway Problems; Long Division practice; Main Lesson Book (or summary) Pages

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discover Properties of Pascal’s Triangle; Discover Pentagonal Numbers; Puzzles

Week 27

Lecture Topics (new topics)
Theorems related to the Difference of Two Squares; Polygonal Numbers

Individual Work (skills and review)
Remainder Problems; Long Multiplication; Long Division; Main Lesson Book (or summary) Pages

Group Assignments (puzzles, problem-solving, discovery, etc.)
Discover the shortcut for the Difference of Squares; Polygonal Numbers;

Week 28

Lecture Topics (new topics)
More related to the Difference of Two Squares; Long Division with 2-digit divisors

Individual Work (skills and review)
Skills review (four processes, and fractions)

Group Assignments (puzzles, problem-solving, discovery, etc.)
Difference of Two Squares; Number Puzzles; Magic Squares;

Week 29

Lecture Topics (new topics)
Decimal review; One-Off Squares; Long Division with 2-digit divisors

Individual Work (skills and review)
Skills review (Decimals and fractions, Factors and Multiples, Long Division)

Group Assignments (puzzles, problem-solving, discovery, etc.)
One-off Squares; Divisibility Puzzles; More Puzzles

Week 30

Lecture Topics (new topics)
Decimal review; More work with One-Off Squares

Individual Work (skills and review)
More skills review; Counting with equal steps with fractions

Group Assignments (puzzles, problem-solving, discovery, etc.)
Sum of Two Squares; Puzzles

Week 31

Lecture Topics (new topics)
Mixed Numbers; Aliquot Sums and Sequences; US Measurement Review

Individual Work (skills and review)
More skills review, including US measurement review, and fractions.

Group Assignments (puzzles, problem-solving, discovery, etc.)
Aliquot Sums and Sequences; Puzzles

Week 32

Lecture Topics (new topics)
More about Aliquot Sums and Sequences; Highlights of the Year

Individual Work (skills and review)
Create summary (ML book) pages titled, “What I learned this year in the Math Academy.”