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Dear LOR user,

Thank you for being a big part of this community. To better support the initiatives around open educational resources in the state of Michigan, all resources on the Michigan Virtual Learning Object Repository (LOR) are being moved to #GoOpen Michigan (link is external) on September 30th, 2018. During the transition, our LOR will be moved to an archived state, not allowing new user registration or new content to be added. An email with more details was sent to registered users of the LOR in September. To make use of the great resources on the platform, we encourage you to create an account and add your own new resources to the #GoOpen Michigan platform (link is external).

Standards: Math

CCSS.MATH.CONTENT.5.NF.7b (0)
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Education Level: 5
Description:

Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5) and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

CCSS.MATH.CONTENT.5.NF.7c (0)
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Education Level: 5
Description:

Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

CCSS.MATH.CONTENT.5.OA.1 (2)
Write and interpret numerical expressions.
Education Level: 5
Description:

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

CCSS.MATH.CONTENT.5.OA.2 (0)
Write and interpret numerical expressions.
Education Level: 5
Description:

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

CCSS.MATH.CONTENT.5.OA.3 (0)
Analyze patterns and relationships.
Education Level: 5
Description:

Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

CCSS.MATH.CONTENT.6.EE.1 (1)
Apply and extend previous understandings of arithmetic to algebraic expressions.
Education Level: 6
Description:

Write and evaluate numerical expressions involving whole-number exponents.

CCSS.MATH.CONTENT.6.EE.2 (0)
Apply and extend previous understandings of arithmetic to algebraic expressions.
Education Level: 6
Description:

Write, read, and evaluate expressions in which letters stand for numbers.

CCSS.MATH.CONTENT.6.EE.2a (0)
Apply and extend previous understandings of arithmetic to algebraic expressions.
Education Level: 6
Description:

Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5 – y.

CCSS.MATH.CONTENT.6.EE.2b (0)
Apply and extend previous understandings of arithmetic to algebraic expressions.
Education Level: 6
Description:

For example, describe the expression 2(8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.

CCSS.MATH.CONTENT.6.EE.2c (2)
Apply and extend previous understandings of arithmetic to algebraic expressions.
Education Level: 6
Description:

Evaluate expressions at specific values for their variables.Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s^3 and A = 6 s^2 to find the volume and surface area of a cube with sides of length s = 1/2.

CCSS.MATH.CONTENT.6.EE.3 (2)
Apply and extend previous understandings of arithmetic to algebraic expressions.
Education Level: 6
Description:

Apply the properties of operations to generate equivalent expressions. 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.

CCSS.MATH.CONTENT.6.EE.4 (0)
Apply and extend previous understandings of arithmetic to algebraic expressions.
Education Level: 6
Description:

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.

CCSS.MATH.CONTENT.6.EE.5 (0)
Reason about and solve one-variable equations and inequalities.
Education Level: 6
Description:

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

CCSS.MATH.CONTENT.6.EE.6 (0)
Reason about and solve one-variable equations and inequalities.
Education Level: 6
Description:

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

CCSS.MATH.CONTENT.6.EE.7 (0)
Reason about and solve one-variable equations and inequalities.
Education Level: 6
Description:

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

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