MoM’s Playoffs

6.EE.1. Write and evaluate numerical expressions involving whole-number exponents.||Common Core Mathematics||Grade 6||Expressions And Equations||Apply And Extend Previous Understandings Of Arithmetic To Algebraic Expressions|||6.EE.2. Write, read, and evaluate expressions in which letters stand for numbers.||Common Core Mathematics||Grade 6||Expressions And Equations||Apply And Extend Previous Understandings Of Arithmetic To Algebraic Expressions|||6.EE.3. Apply the properties of operations to generate equivalent expressions.||Common Core Mathematics||Grade 6||Expressions And Equations||Apply And Extend Previous Understandings Of Arithmetic To Algebraic Expressions|||6.EE.4. Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.||Common Core Mathematics||Grade 6||Expressions And Equations||For Example, Apply The Distributive Property To The Expression 3 (2 + X) To Produce The Equivalent Expression 6 + 3X; Apply The Distributive Property To The Expression 24X + 18Y To Produce The Equivalent Expression 6 (4X + 3Y); Apply Properties Of Operations To Y + Y + Y To Produce The Equivalent Expression 3Y|||7.EE.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.||Common Core Mathematics||Grade 7||Expressions And Equations||Use Properties Of Operations To Generate Equivalent Expressions|||7.EE.2. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “”increase by 5%”” is the same as “”multiply by 1.05.””||Common Core Mathematics||Grade 7||Expressions And Equations||Use Properties Of Operations To Generate Equivalent Expressions|||7.EE.3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.||Common Core Mathematics||Grade 7||Expressions And Equations||Solve Real-Life And Mathematical Problems Using Numerical And Algebraic Expressions And Equations|||7.EE.4. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.||Common Core Mathematics||Grade 7||Expressions And Equations||Solve Real-Life And Mathematical Problems Using Numerical And Algebraic Expressions And Equations|||8.EE.1. Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 ? 3?5 = 3?3 = 1/33 = 1/27.||Common Core Mathematics||Grade 8||Expressions And Equations||Work With Radicals And Integer Exponents|||8.EE.2. Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that v2 is irrational.||Common Core Mathematics||Grade 8||Expressions And Equations||Work With Radicals And Integer Exponents|||HS.A.APR.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.||Common Core Mathematics||High School||Arithmetic With Polynomials And Rational Expressions||Perform Arithmetic Operations On Polynomials