数学の基礎 - ねえ、この数学ができますか?

In this on-going math class the student will utilize  logical steps to learn mathematical skills in preparation for pre-algebra and Algebra courses.  Through speed drills, games, and worksheets, the student  will be taught important principles to help him retain these basic scope and sequence standards of arithmetic. The student will learn about addition, subtraction, and multiplication. Your child will be able to confidently guide through their academic year in arithmetic. They will have a great foundation of success in their basic FUNda-Mentals of math.

Scope and Sequence of the Fundamentals of Math

SCOPE AND SEQUENCE OF FUNDAMENTALS OF MATH

Week of (): Topic/Theme 1 ADDITION -                                                              
 *Addition families 1–6 in mixed order
*Timed mastery
*Terms: addend, sum
*Missing sign
*Word problems
*Carrying to any position
*Checking by:
*Addition
  >Casting out 9s
*Addends: column addition


Week of (): Topic/Theme 2 ADDITION -
 *Addition families 7–12 in mixed order
*Timed mastery
*Terms: addend, sum
*Missing sign
*Word problems
*Carrying to any position
*Checking by:
*Addition
  >Casting out 9s
*Addends: column addition


Week of (): Topic/Theme 3 ADDITION -
 *Addition families 13–18 in mixed order
*Timed mastery
*Terms: addend, sum
*Missing sign
*Word problems
*Carrying to any position
*Checking by:
*Addition
  >Casting out 9s
*Addends: column addition

 

 Week of (): Topic/Theme 4 SUBTRACTION -
*Subtraction families 1–6 in mixed order
*Timed mastery
*Missing sign
  >Mental arithmetic: problems combining subtraction, addition,
multiplication, and division up to 13 numbers
*Word problems
*Terms: minuend, subtrahend, difference
* Borrowing from any position
*Checking by addition
*Number sentences: greater or less than


Week of (): Topic/Theme 5 SUBTRACTION
*Subtraction families 7–12 in mixed order
*Timed mastery
*Missing sign
  >Mental arithmetic: problems combining subtraction, addition,
multiplication, and division up to 13 numbers
*Word problems
*Terms: minuend, subtrahend, difference
* Borrowing from any position
*Checking by addition
*Number sentences: greater or less than

Week of (): Topic/Theme 6 SUBTRACTION
*Subtraction families 13–18 in mixed order
*Timed mastery
*Missing sign
  >Mental arithmetic: problems combining subtraction, addition,
multiplication, and division up to 13 numbers
*Word problems
*Terms: minuend, subtrahend, difference
* Borrowing from any position
*Checking by addition
*Number sentences: greater or less than

Week of (): Topic/Theme 7 MULTIPLICATION -
*Multiplication facts: 0–6 tables
*Word problems
*Timed mastery
*Terms: factors, product, partial products
*Missing sign
  >Mental arithmetic: problems combining multiplication, division,
addition, and subtraction up to 13 numbers
Multiplying with up to 3-digit multiplier (factor)


Week of (): Topic/Theme 8 MULTIPLICATION - 
*Multiplication facts: 7–12 tables
*Word problems
*Timed mastery
*Terms: factors, product, partial products
*Missing sign
  >Mental arithmetic: problems combining multiplication, division,
addition, and subtraction up to 13 numbers
Multiplying with up to 3-digit multiplier (factor)

Week of (): Topic/Theme 9 MULTIPLICATION -  
Multiplying with up to 3-digit multiplier (factor)
*Carrying
 >Checking by:
*Reversing factors
  >Casting out 9s


Week of (): Topic/Theme 10 MULTIPLICATION -  
*Multiplication facts: 10–12 tables
*Word problems
*Timed mastery
*Terms: factors, product, partial products
*Missing sign
  >Mental arithmetic: problems combining multiplication, division,
addition, and subtraction up to 13 numbers
Multiplying with up to 3-digit multiplier (factor)

Week of (): Topic/Theme 11 DIVISION SIMPLE - 

Week of (): Topic/Theme 12  LONG DIVISION
*2 DIGIT DIVISOR BY 3 DIGIT DIVIDEND

Week of (): Topic/Theme 13 LONG DIVISION -  
*3 DIGIT DIVISOR BY 4 DIGIT DIVIDEND

Week of (): Topic/Theme 14 MULTIPLICATION AND DIVISION
*Multiply multiple digit multiplication and multiple digit division problems 
*Word Problems

Week 15 FRACTIONS
Parts of a whole; Parts of a group; Terms: numerator, denominator
Unit fractions: identify/compare
Word problems; Number words; Reading and writing fractions

Week 16 Decomposing fractions
Types: Proper, mixed, improper
Write as a whole or mixed number
Reducing:  Finding least common denominator
Answers to lowest terms using greatest common factor

Week 17 Addition:
With common denominators; With uncommon denominators
Subtraction:
With common denominators; With uncommon denominators
With borrowing

Week 18 Multiplication:
Using cancellation; With whole or mixed numbers
Equivalent fractions:
Using cross multiplication to check

Week 19 Decimals:
Money
Use of a dollar sign/decimal point in addition, subtraction, multipli-
cation, division of money
Decimal point:
Reading and writing: writing a decimal as a fraction
Place value to tenths, hundredths, thousandths places
Addition and subtraction
Annexing zeros for addition/subtraction
Problem Solving & Applications

Week 20: Percents
Concept of Percents
Subtraction and Addition of Percents
Writing decimals as percents and fractions

Week 21: Percents
Finding percentages
Finding discounts
Estimating

Week 22:  Word Problems:
Solving strategies based on context
Numberless word problems
Missing/unnecessary information
Addition, subtraction, multiplication, division

Week 23: Graphs
Pictograph
Range, mean, and median

Week 24: Graphs
Bar Graphs
Line Graphs
Circle Graphs

Week 25: Graphs
Scale Drawings
Finding Distance on maps

Week 26: Geometry: area, perimeter using formulas

Week 27: Geometry: Circles, Circumference, area of circle

Week 28: Geometry: Congruent triangles, Angles, Triangles

Week 29: Time
Table of time:
Second, minute, hour, day
Week, year, leap year
Decade, score, century, millennium

Week 30: Money
Value of all coins, bills, combinations of coins/bills
Symbols: dollar sign, decimal point
Word problems with mixed operations
Making change
Counting back change 
Week 31: Linear Measures
English Linear Measurements
Metric Linear Measurements
Facts for scales

Week 32: Capacity Measures
English Liquid Measures
English Dry Measures
Metric Measures
Facts for scales

Week 33: Weight Measures
English Measures
Metric Measures
Facts for scales

Week 34: Converting English Measurements
Larger to smaller = x
Smaller to larger = ÷

Week 35:  Converting Metric Measurements
Larger to smaller = x by 10 to the right
Smaller to Larger = ÷ by 10 to the left
K   h   da   u   d   c   m

Week 36:  Algebra
Order of operations
Solving equations

Week 37: Algebra
Algebraic multiplication
Two-step equations

Week 38:  Temperature and Time Zones

Week 39:  Banking, simple interest formula, planning a budget

Week 40:  Math Jeopardy