number sense: identify place value through the millions – compare whole numbers through the millions – round whole numbers to nearest thousand, ten thousand and hundred thousand – read write, and identify decimals through thousandths – round decimals – compare and order decimals
addition/subtraction: add and subtract larger numbers – increase problem solving with addition and subtraction – add and subtract decimals
multiplication/division: solve multiplication problems with multiple digits – divide whole numbers with and without remainders – determine common multiples and factors – introduction to long division
fractions: compare and order fractions and mixed numbers – represent equivalent fractions – add and subtract fractions with like and unlike denominators (2, 3, 4, 5, 6, 8, 10 and 12)
Identify place value through one million: Place value 1 Place value 2 Place value 3 Place value 4 Place value 5
Prime numbers
Identify prime numbers from 1 through 100 [CCSS Standard.4.OA.B.4] Note on teaching prime numbers…
Study Sheet: Grid of Prime Numbers from 1 to 100
Practice: Prime or Composite 1 Prime or Composite 2 Prime or Composite 3 Prime or Composite 4 Prime or Composite 5
Factors [CCSS Standard.4.OA.B.4]
Study Sheet – factors from 1 to 100: Factors Study Sheet
Fill in the blank factors (and identify prime numbers)
Up to 20: Factors to twenty 1 Factors to twenty 2 Factors to twenty 3 Factors to twenty 4 Factors to twenty 5
Up to 50: Factors to fifty 1 Factors to fifty 2 Factors to fifty 3 Factors to fifty 4 Factors to fifty 5
Up to 100: Factors to one hundred 1 Factors to one hundred 2 Factors to one hundred 3 Factors to one hundred 4 Factors to one hundred 5
Interpret multiplication equations
Recognize that 5 x 4 = 20 means that 20 is five times more than 4 [CCSS Standard.4.OA.A.1]
multiplication number sense 1 multiplication number sense 2 multiplication number sense 3 multiplication number sense 4 multiplication number sense 5
Area and perimeter
Apply area and perimeter formula in real world applications [CCSS Standard.4.MD.B.4]
area and perimeter 1 area and perimeter 2 area and perimeter 3 area and perimeter 4 area and perimeter 5
Addition Drills:
Practice adding large numbers with regrouping (carrying)
Add two numbers, sums over one million: Add 2 numbers 1 Add 2 numbers 2 Add 2 numbers 3 Add 2 numbers 4 Add 2 numbers 5
Add three numbers, sums over one million: Add 3 numbers 1 Add 3 numbers 2 Add 3 numbers 3 Add 3 numbers 4 Add 3 numbers 5
Choose numbers to make a sum
Another way of building addition skills. Select the two numbers out of four that add up to a particular value
Up to 50: Make a sum 1 Make a sum 2 Make a sum 3 Make a sum 4 Make a sum 5
Up to 100: Make a sum 1 Make a sum 2 Make a sum 3 Make a sum 4 Make a sum 5
Up to 500: Make a sum 1 Make a sum 2 Make a sum 3 Make a sum 4 Make a sum 5
Up to 1000: Make a sum 1 Make a sum 2 Make a sum 3 Make a sum 4 Make a sum 5
A little harder…choose three numbers that make a sum
Up to 20: Choose three 1 Choose three 2 Chose three 3 Choose three 4 Choose three 5
Up to 50: Choose three 1 Choose three 2 Choose three 3 Choose three 4 Choose three 5
Up to 100: Choose three 1 Choose three 2 Choose three 3 Choose three 4 Choose three 5
Multiples Tables: Fill in the missing multiples
Answer Key Missing multiples 1 Missing multiples 2 Missing multiples 3 Missing multiples 4 Missing multiples 5
Find the two numbers that make a product (1 – 12): Make a product 1 Make a product 2 Make a product 3 Make a product 4 Make a product 5
Advanced Multiplication
Introduction to multi-digit multiplication
Two digits times one digit
Set 1: multiplication 1 multiplication 2 multiplication 3 multiplication 4 multiplication 5
Set 2: multiplication 6 multiplication 7 multiplication 8 multiplication 9 multiplication 10
Two digits times two digits
Set 1: multiplication 1 multiplication 2 multiplication 3 multiplication 4 multiplication 5
Set 2: multiplication 6 multiplication 7 multiplication 8 multiplication 9 multiplication 10
Division – Introduction to Remainders [CCSS Standard.4.NBT.B.6]
Simple division w/ whole number quotients up to 12, divisors up to 12, and remainders
Example: 50 ÷ 8 = 6 r 2
Division Remainders 1 Division Remainders 2 Division Remainders 3 Division Remainders 4 Division Remainders 5
Beginning Long Division
Introduction to long division [CCSS Standard.4.NBT.B.6]
Step 1: Simplest examples – one digit divisor which fits into the first digit of the dividend. These are the easiest samples to learn the steps to long division.
With grid and clues…
Set 1: long division 1 long division 2 long division 3 long division 4 long division 5
Set 2: long division 6 long division 7 long division 8 long division 9 long division 10
With grid but no clues…
Set 1: long division 1 long division 2 long division 3 long division 4 long division 5
Set 2: long division 6 long division 7 long division 8 long division 9 long division 10
No grid, no clues. You’re on your own…
Set 1: long division 1 long division 2 long division 3 long division 4 long division 5
Set 2: long division 6 long division 7 long division 8 long division 9 long division 10
Step 2: Now a twist – one digit divisor which does not fit into the first digit of the dividend.
With grid and clues: Long Division 1 Long Division 2 Long Division 3 Long Division 4 Long Division 5
With grid but no clues: Long Division 1 Long Division 2 Long Division 3 Long Division 4 Long Division 5
No grid, no clues: Long Division 1 Long Division 2 Long Division 3 Long Division 4 Long Division 5
Step 3: Now with remainders.
Remainders with grid:
w Remainders 1 w Remainders 2 w Remainders 3 w Remainders 4 w Remainders 5
w Remainders 6 w Remainders 7 w Remainders 8 w Remainders 9 w Remainders 10
Remainders without grid:
w Remainders 1 w Remainders 2 w Remainders 3 w Remainders 4 w Remainders 5
Fourth grade goals for computing fractions: compare fractions, identify types (proper, improper and mixed), convert improper fractions to mixed fractions, add same and different denominator fractions, simplify fractions
Compare two fractions relative to 1/2 [CCSS Standard.4.NF.A.1]
Comparing fractions: compare relative to half1 compare relative to half2 compare relative to half3 compare relative to half4 compare relative to half5
Identifying fraction types
Proper, improper and mixed: Fraction type 1 Fraction type 2 Fraction type 3 Fraction type 4 Fraction type 5
Convert improper fraction to mixed fraction and simplify
Max denominator 6: Convert fraction 1 Convert fraction 2 Convert fraction 3 Convert fraction 4 Convert fraction 5
Max denominator 12: Convert fraction 1 Convert fraction 2 Convert fraction 3 Convert fraction 4 Convert fraction 5
Fraction addition in words, same denominator
Maximum denominator 4: add fractions 1 add fractions 2 add fractions 3 add fractions 4 add fractions 5
Maximum denominator 12: add fractions 1 add fractions 2 add fractions 3 add fractions 4 add fractions 5
Fraction addition in words, different denominator: add fractions 1 add fractions 2 add fractions 3 add fractions 4 add fractions 5 add fractions 6 add fractions 7 add fractions 8 add fractions 9 add fractions 10
Multiply a fraction and an integer, and simplify
Basic multiplication: multiply fractions basic 1 multiply fractions basic 2 multiply fractions basic 3 multiply fractions basic 4 multiply fractions basic 5
Max denominator 6, max integer 3: multiply fractions 1 multiply fractions 2 multiply fractions 3 multiply fractions 4 multiply fractions 5
Max denominator 12, max integer 3: multiply fractions 6 multiply fractions 7 multiply fractions 8 multiply fractions 9 multiply fractions 10
Max denominator 12, max integer 6: multiply fractions 11 multiply fractions 12 multiply fractions 13 multiply fractions 14 multiply fractions 15
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