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UT.6.EE.EXPRESSIONS AND EQUATIONS (6.EE)
EXPRESSIONS AND EQUATIONS (6.EE)
Apply and extend previous understandings of arithmetic to algebraic expressions involving exponents and variables (Standards 6.EE.1–4). They reason about and solve one-variable equations and inequalities (Standards 6.EE.5–8). Represent and analyze quantit
6.EE.1. Write and evaluate numerical expressions involving whole-number exponents.
6.EE.2. Write, read, and evaluate expressions in which letters represent numbers.
6.EE.2.a. Write expressions that record operations with numbers and with letters representing numbers. For example, express the calculation "Subtract y from 5" as 5 – y and express “Jane had $105.00 in her bank account. One year later, she had x dollars more. Write
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
6.EE.2.b. Identify parts of an expression using mathematical terms (for example, sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity and a sum of two terms. For example, describe the expression 2(8 + 7) as
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
6.EE.2.c. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, applying the Order of Operations when th
Quiz, Flash Cards, Worksheet, Game & Study GuideFormulas
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
6.EE.3. 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 prod
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
6.EE.5. Understand solving an equation or inequality as a process of answering the 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
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
6.EE.6. 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.
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
6.EE.7. Solve real-world and mathematical problems by writing and solving equations of the form x + a = b and ax = b for cases in which a, b and x are all non-negative rational numbers.
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
6.EE.8. 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 i
6.EE.9. 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 va
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
UT.6.G.GEOMETRY (6.G)
GEOMETRY (6.G)
Solve real-world and mathematical problems involving area, surface area, and volume (Standards 6.G.1–4).
6.G.2. Find the volume of a right rectangular prism with appropriate unit fraction edge lengths by packing it with cubes of the appropriate unit fraction edge lengths (for example, 3½ x 2 x 6), and show that the volume is the same as would be found by multiplyin
Quiz, Flash Cards, Worksheet, Game & Study GuideFinding Volume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
6.G.3. 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 x coordinate or the same y coordinate. Apply these techniques in the context of solving real-world and math
Quiz, Flash Cards, Worksheet, Game & Study GuidePlot Points
6.G.4. 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.
Apply and extend previous understandings of multiplication and division of whole numbers to divide fractions by fractions (Standard 6.NS.1). Compute (add, subtract, multiply and divide) fluently with multi-digit numbers and decimals and find common factor
6.NS.1. Interpret and compute quotients of fractions.
6.NS.1.a. Compute quotients of fractions by fractions, for example, by applying strategies such as visual fraction models, equations, and the relationship between multiplication and division, to represent problems.
6.NS.1.b. Solve real-world problems involving division of fractions by fractions. For example, how much chocolate will each person get if three people share 1/2 pound of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a recta
6.NS.1.c. Explain the meaning of quotients in fraction division problems. 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
Quiz, Flash Cards, Worksheet, Game & Study GuideDivision
Quiz, Flash Cards, Worksheet, Game & Study GuideDivision
6.NS.3. Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
6.NS.3.a. Fluently divide multi-digit decimals using the standard algorithm, limited to a whole number dividend with a decimal divisor or a decimal dividend with a whole number divisor.
6.NS.3.b. Solve division problems in which both the dividend and the divisor are multi-digit decimals; develop the standard algorithm by using models, the meaning of division, and place value understanding.
6.NS.4. 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
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
6.NS.5. Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (for example, temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); us
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
6.NS.6. 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.
6.NS.6.a. Recognize opposite signs of numbers as indicating locations on opposite sides of zero on the number line; recognize that the opposite of the opposite of a number is the number itself. For example, -(-3) = 3, and zero is its own opposite.
6.NS.6.b. Understand that the signs of numbers in ordered pairs indicate their location 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.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlot Points
Quiz, Flash Cards, Worksheet, Game & Study GuidePlotting Points
6.NS.6.c. 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.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlot Points
Quiz, Flash Cards, Worksheet, Game & Study GuidePlotting Points
6.NS.7. Understand ordering and absolute value of rational numbers.
6.NS.7.a. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret –3 > –7 as a statement that –3 is located to the right of –7 on a number line oriented from left to right.
6.NS.7.b. Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write –3° C > –7° C to express the fact that –3° C is warmer than –7° C.
6.NS.7.c. Understand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world context. For example, for an account balance of –30 dollars, write |
6.NS.7.d. Distinguish comparisons of absolute value from statements about order. For example: Recognize that an account balance less than –30 dollars represents a debt greater than 30 dollars.
6.NS.8. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same x-coordinate or the same y-coordinate.
Quiz, Flash Cards, Worksheet, Game & Study GuideCoordinates
Quiz, Flash Cards, Worksheet, Game & Study GuidePlot Points
Quiz, Flash Cards, Worksheet, Game & Study GuidePlotting Points
UT.6.RP.RATIOS AND PROPORTIONAL RELATIONSHIPS (6.RP)
RATIOS AND PROPORTIONAL RELATIONSHIPS (6.RP)
Understand ratio concepts and use ratio reasoning to solve problems (Standards 6.RP.1–3).
6.RP.1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. The following are examples of ratio language: “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every two wings
6.RP.2. Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. The following are examples of rate language: "This recipe has a ratio of four cups of flour to two cups of suga
6.RP.3. Use ratio and rate reasoning to solve real-world (with a context) and mathematical (void of context) problems, using strategies such as reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations involving unit ra
6.RP.3.a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
6.RP.3.b. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took four hours to mow eight lawns, how many lawns could be mowed in 32 hours? What is the hourly rate at which lawns were being mowed?
6.RP.3.c. Find a percent of a quantity as a rate per 100. Solve problems involving finding the whole, given a part and the percent. (For example, 30% of a quantity means 30/100 times the quantity.)
Quiz, Flash Cards, Worksheet, Game & Study GuidePercentage
6.RP.3.d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Quiz, Flash Cards, Worksheet, Game & Study GuideMeasurement
UT.6.SP.STATISTICS AND PROBABILITY (6.SP)
STATISTICS AND PROBABILITY (6.SP)
Develop understanding of statistical variability of data (Standards 6.SP.1–3). Summarize and describe distributions (Standards 6.SP.4–5).
6.SP.3. Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
Quiz, Flash Cards, Worksheet, Game & Study GuideData Analysis
Quiz, Flash Cards, Worksheet, Game & Study GuideOrganizing Data
Quiz, Flash Cards, Worksheet, Game & Study GuideStatistics
Quiz, Flash Cards, Worksheet, Game & Study GuideStatistics
6.SP.5. Summarize numerical data sets in relation to their context, such as by:
6.SP.5.c. Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations (for example, outliers) from the overall pattern with r