Mathematics
Grade 6
15 min
Addition, subtraction, multiplication, and division facts
Addition, subtraction, multiplication, and division facts
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Recall basic addition facts up to 20 with fluency.
Recall basic subtraction facts up to 20 with fluency.
Recall basic multiplication facts up to 12x12 with fluency.
Recall basic division facts corresponding to multiplication facts up to 144/12 with fluency.
Apply fact fluency to solve multi-step problems involving all four operations, including with integers.
Identify and utilize inverse operations to check calculations and solve for missing values.
Correctly apply the order of operations in expressions involving basic facts.
Ever wonder how quickly you can calculate the total cost of items or split a bill among friends? 💰 Fast math facts are your superpower!
In this lesson, we'll sharpen our recall of addition, subtraction, multiplication, and d...
2
Key Concepts & Vocabulary
TermDefinitionExample
Fact FluencyThe ability to recall basic math facts (addition, subtraction, multiplication, division) accurately, quickly, and effortlessly without having to calculate them each time.Knowing that 7 x 8 = 56 instantly, without counting or repeated addition.
Addition FactA basic sum of two single-digit numbers, or a single-digit and a two-digit number, typically resulting in a sum up to 20.8 + 5 = 13
Subtraction FactA basic difference derived from addition facts, where a smaller number is taken away from a larger number, typically within 20.15 - 7 = 8
Multiplication FactA basic product of two single-digit numbers, typically up to 12x12.9 x 7 = 63
Division FactA basic quotient derived from multiplication facts, where a number is divided by a factor to find the other fact...
3
Core Formulas
Commutative Property of Addition
$a + b = b + a$
The order in which numbers are added does not affect the sum. This helps in recalling addition facts.
Commutative Property of Multiplication
$a \times b = b \times a$
The order in which numbers are multiplied does not affect the product. This reduces the number of multiplication facts to memorize.
Inverse Relationship (Addition/Subtraction)
If $a + b = c$, then $c - b = a$ and $c - a = b$.
Addition and subtraction are inverse operations. You can use one to check the other or find a missing value.
Inverse Relationship (Multiplication/Division)
If $a \times b = c$, then $c \div b = a$ and $c \div a = b$.
Multiplication and division are inverse operations. You can use one to check the other or find a missing value...
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Challenging
A submarine is at a depth of -120 meters. It rises 8 meters per minute for 9 minutes. What is its new depth relative to the surface?
A.-192 meters
B.-72 meters
C.-48 meters
D.-48 meters
Challenging
A number is multiplied by 8, and then 15 is subtracted from the result. The final answer is 57. What was the original number?
A.8
B.9
C.11
D.5.25
Challenging
Evaluate the expression: (7 - 19) ÷ 3 + 5 x (-6)
A.26
B.-26
C.-34
D.34
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