Students can interpret the solution of fractions within the context of the problem.
Students can solve word problems involving division of fractions by fraction.
Students can 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.
Students can apply the formulas V=lwh and V=bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
Students can understand that solving an equation means finding a value for the variable that makes the equation true.
Students can use substitution to determine if a given number makes the equation true.
Students can understand that solving an inequality means finding a value for the variable that makes the inequality true.
Students can use substitution to determine if a given number makes the inequality true.
Students can use variables to represent numbers and write expressions from real-world situations.
Students can understand that a variable can be used to represent an unknown number.
Students can understand that a variable can also be used to represent any number in a specified set.
Students can write equations for real-world and mathematical problems in the form x+p=q and px=q where all values are non-negative rational numbers.
Students can use inverse operations to solve equations for real-world and mathematical problems in the form x+p=q and px=q where all values are non-negative rational numbers.
Students can understand that letters (variables) stand for numbers in algebraic expressions.
Students can write algebraic expressions involving the four operations from phrases and sentences.
Students can use proper mathematical terms to identify different parts of an expression.
Students can use order of operations to evaluate expressions using specific values for variables, including expressions that involve whole-number exponents.
Students can evaluate expressions involving formulas used in real-world situations.
Students can use variables to represent quantities in real-world situations that change based on one quantity's relationship with the other.
Students can write an equation to express one quantity (the dependent variable) in terms of another quantity (the independent variable).
Students can identify the dependent and independent variables in an equation.
Students can determine and describe the relationship between the dependent and independent variables using tables and graphs.
Students can write equations that demonstrate the relationship between the dependent and independent variables in tables and graphs.
Students can use positive and negative numbers to represent quantities in real world context including rational numbers.
Students can explain the meaning of 0 in the context of a situation.
Students explain that positive and negative numbers are used together to describe quantities having opposite directions or values.
Students can understand the opposite sign shifts the number to the opposite side of zero on the number line.
Students can understand the signs of numbers in ordered pairs indicates which quadrant the number is located in.
Students can recognize that the opposite of the opposite of a number is the number itself.
Students can recognize that zero is its own opposite.
Students can recognize that when ordered pairs differ only by signs, the locations of the points are related by reflection across one or both axes.
Students can represent all rational numbers on a horizontal or vertical number line.
Students can find and position pairs of integers and other rational numbers on a coordinate plane.
Students can identify absolute value of a number.
Students can use inequalities to express the relationship between two rational numbers.
Students can write statements using inequality symbols to compare rational numbers.
Students can use inequality statements in context.
Students can understand absolute value as the distance from zero.
Students can distinguish comparisons of absolute value from statements about order.
Students can use variables to represent numbers and write expressions from real-world situations.
Students can understand that a variable can also be used to represent any number in a specified set.
Students can write an inequality using the form x>c or x<c.
Students can represent a constraint or condition in a real-world problem using the form x>c or x<c.
Students can recognize that inequalities in the form x>c or x<c have an infinite amount of solutions.
Students can graph inequalities on a number line to represent the solutions of the inequalities.
Students can understand that solving an equation means finding a value for the variable that makes the equation true. Students can use substitution to determine if a given number makes the equation true.
Students can understand that solving an inequality means finding a value for the variable that makes the inequality true.
Students can use substitution to determine if a given number makes the inequality true.
Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.
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.
Students can solve real world problems by graphing points in all four quadrants of the coordinate plane.
Students can use coordinates to find the distance between points with the same first or second coordinate.
Students can use absolute value to find the distance between points with the same first or second coordinate.
4th Quarter Focus Unit: 8 Data Sets & Distributions Standards:
Students can describe variability in statistical questions and write meaningful statistical questions.
Students can recognize that a statistical question is one that anticipates variability in the data related to the question.
Students will examine the distribution of a data set through dot plots, histograms, and box plots.
Students can summarize numerical data sets in relation to the context in which the data was gathered.
Students can report the number of observations in a data set.
Students can describe the nature of the attributes under investigations in a data set.
Students can understand that the measures of center and variability are related to the shape of the data distribution.
Students can recognize that a measure of center for a numerical data set summarizes all of its values with a single number.
Vocabulary: mean, median, mode, range, statistics, measure of center, distribution, statistical question, non-statistical question, variability, data, center, spread, interquartile range, mean absolute deviation, overall shape, dot plot, histogram, box plot, number line, observations, data set, overall pattern, context of data collection, ratio relationship