## Status message

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

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

Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

(0)
Represent and analyze quantitative relationships between dependent and independent variables.
Education Level: 6
Description:

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

(1)
Solve real-world and mathematical problems involving area, surface area, and volume.
Education Level: 6
Description:

Find area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

(0)
Solve real-world and mathematical problems involving area, surface area, and volume.
Education Level: 6
Description:

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

(0)
Solve real-world and mathematical problems involving area, surface area, and volume.
Education Level: 6
Description:

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

(1)
Solve real-world and mathematical problems involving area, surface area, and volume.
Education Level: 6
Description:

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

(0)
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Education Level: 6
Description:

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?

(0)
Compute fluently with multi-digit numbers and find common factors and multiples.
Education Level: 6
Description:

Fluently divide multi-digit numbers using the standard algorithm.

(0)
Compute fluently with multi-digit numbers and find common factors and multiples.
Education Level: 6
Description:

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

(0)
Compute fluently with multi-digit numbers and find common factors and multiples.
Education Level: 6
Description:

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).

(1)
Apply and extend previous understandings of numbers to the system of rational numbers.
Education Level: 6
Description:

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, debits/credits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

(1)
Apply and extend previous understandings of numbers to the system of rational numbers.
Education Level: 6
Description:

Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

(0)
Apply and extend previous understandings of numbers to the system of rational numbers.
Education Level: 6
Description:

Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite.

(0)
Apply and extend previous understandings of numbers to the system of rational numbers.
Education Level: 6
Description:

Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

(0)
Apply and extend previous understandings of numbers to the system of rational numbers.
Education Level: 6
Description:

Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.