 1. Slide
60 seconds
Distributive Property of Algebra Associative Property of Algebra Commutative Property of Algebra Inverse Property of Algebra Identity Property of Algebra
List of Algebraic Properties
2. Open question
180 seconds
Name and define one algebraic property
3. Slide
60 seconds
Distributive Property: The distributive property states that when a number is multiplied by a group of numbers added together, that number can be multiplied by each one individually and the result will be the same. Combining Like Terms: Combining like terms is the process of adding or subtracting two or more like terms within an algebraic expression. Order of Operations: The order of operations is a rule that states which operation should be performed first when multiple operations exist in an expression.
Distributive Property, Combining Like Terms & PEMDAS
4. Slide
60 seconds
PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. It is a mnemonic used to remember the order of operations when solving a mathematical equation. The order of operations is important because it ensures that mathematical equations are solved in the same way by everyone. When using PEMDAS, it is important to remember that multiplication and division have equal precedence, and that addition and subtraction have equal precedence. This means that these operations should be done left-to-right within their group. / mean whatever comes first!
PEM/DA/S
5. Personalised Feedback
120 seconds
Simplify the expression: 2(4h + 4)
6. Open question
180 seconds
Factor 10x+30y Hint: What do 10 and 30 have in common?
7. Personalised Feedback
240 seconds
Factor 56w+56x–24. Hint: What do 56, 56 and 24 have in common?
8. Slide
60 seconds
The Associative Property of Algebra states that when two or more numbers (or variables) are added or multiplied, the order in which they are added or multiplied does not matter. For example, (2 + 3) + 5 = 2 + (3 + 5). The Associative Property of Multiplication states that when two or more numbers are multiplied, the order in which they are multiplied does not matter. For example, 2 * (3 * 5) = (2 * 3) * 5.
Associative Property of Algebra
9. Poll
20 seconds
Which equation shows the associative property of addition?
• f+0 = f
• (f + g) + h = f + (g + h)
• 0 + f = 0
• g + f = f + g
10. Personalised Feedback
360 seconds
What value of u makes this addition sentence true? Hint: Use properties of addition. 57 + (30 + 39) = (57 + u) + 39
11. Personalised Feedback
180 seconds
Write a way to group the numbers 4, 6, and 8 using the associative property of addition?
12. Slide
60 seconds
Commutative Property: This is a property of addition and multiplication in which the order of the terms doesn't matter. For example, 3 + 4 = 4 + 3 and 5 x 6 = 6 x 5. Commutative Property of Addition: This is the property of addition that states that the order of two numbers being added does not affect the sum. For example, 3 + 4 = 4 + 3. Commutative Property of Multiplication: This is the property of multiplication that states that the order of two numbers being multiplied does not affect the product. For example, 5 x 6 = 6 x 5.
Commutative Property of Algebra
13. Poll
20 seconds
What algebraic property is being used to write the next step in this expression? STEP 1: –4 + (p + 6) STEP 2: (p + 6) + –4
• Commutative
• Associative
• Inverse
• Identity
• Distributive
14. Slide
60 seconds
Inverse Property of Multiplication: The inverse property of multiplication states that if you multiple two numbers together and the result is 1, then the two numbers must be the inverse or reciprocal of each other. Inverse Property of Addition: The inverse property of addition states that if you add two numbers together and the result is 0, then the two numbers must be the opposite of each other. Inverse Property of Subtraction: The inverse property of subtraction states that if you subtract two numbers and the result is 0, then the two numbers must be the same.
Inverse Property of Algebra
15. Open question
180 seconds
Name an instance in algebra where we use the inverse property!
16. Slide
60 seconds
Identity Property of Addition: The sum of any number plus zero is equal to the original number. Ex: 5 + 0 = 5 Identity Property of Multiplication: The product of any number times one is equal to the original number. Ex: 7 * 1 = 7 Identity Property of Equality: The statement of equality is true if both sides are equal. Ex: 2 + 3 = 5 is true
Identity Property of Algebra
17. Open question
180 seconds
Solve: (5j)(2)
18. Poll
20 seconds
What property did you use to simplify: (5j)(2)?
• Distributive
• Associative
• Commutative
• Identity
• Inverse
19. Poll
20 seconds
What property would you use to simplify: 4(–3 + f)?
• Distributive
• Associative
• Commutative
• Identity
• Inverse
20. Drawings
450 seconds
Simplify this problem. Show all steps. With each step, write which property you used: 2 + (1 + v)
21. Poll
60 seconds
What is your opinion on algebraic properties?
• Algebraic properties are useful for understanding mathematics
• Algebraic properties are too abstract and difficult to learn
• Algebraic properties are unnecessary and can be ignored in math class
22. Slide
60 seconds
Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Substitution Property of Equality Symmetric Property of Equality
Other Algebraic Properties! Let's take a guess about what they mean:
23. Slide
60 seconds
Algebraic properties are used to prove mathematical theorems, such as the Pythagorean Theorem. The distributive property allows us to multiply a sum by a number without actually multiplying each individual summand. The associative property states that the order of operations doesn't matter when you are combining three or more numbers using the same operations.
Did you know?
24. Drawings
450 seconds
Draw a house made of ice cream cones and candy canes with a big cherry on top