Kentucky Grade 7 Math

KY.7

• KY.7.EEExpressions and Equations
• KY.7.EE.1Apply properties of operations as strategies to add, subtract, factor and expand linear expressions with rational coefficients
• KY.7.EE.2Understand that rewriting an expression in different forms in a problem context can clarify the problem and how the quantities in it are related
• KY.7.EE.3Solve real-life and mathematical problems posed with positive and negative rational numbers in any form, 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
• KY.7.EE.4Use variables to represent quantities in a real-world or mathematical problem and construct equations and inequalities to solve problems by reasoning about the quantities
• KY.7.GGeometry
• KY.7.G.1Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale
• KY.7.G.2Draw (freehand, with ruler and protractor and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle
• KY.7.G.3Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids
• KY.7.G.4Use formulas for area and circumference of circles and their relationships
• KY.7.G.5Apply properties of supplementary, complementary, vertical and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure
• KY.7.G.6Solve problems involving area of two-dimensional objects and surface area and volume of three-dimensional objects
• KY.7.NSThe Number System
• KY.7.NS.1Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram
• KY.7.NS.2Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers
• KY.7.NS.3Solve real-world and mathematical problems involving the four operations with rational numbers
• KY.7.RPRatios and Proportional Relationships
• KY.7.RP.1Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units
• KY.7.RP.2Recognize and represent proportional relationships between quantities
• KY.7.RP.3Use percents to solve mathematical and real-world problems
• KY.7.SPStatistics and Probability
• KY.7.SP.0Create displays, including circle graphs (pie charts), scaled pictographs and bar graphs, to compare and analyze distributions of categorical data from both matching and different-sized samples
• KY.7.SP.1Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences
• KY.7.SP.2Use data from a random sample to draw inferences about a population with an unknown characteristic of interest
• KY.7.SP.3Describe the degree of visual overlap (and separation) from the graphical representations of two numerical data distributions (box plots, dot plots) with similar variabilities with similar contexts (same variable), measuring the difference between the centers (medians or means) by expressing this difference as a multiple of a measure of variability (interquartile range when comparing medians or the mean absolute deviation when comparing means)
• KY.7.SP.4Calculate and use measures of center (mean and median) and measures of variability (interquartile range when comparing medians and mean absolute deviation when comparing means) for numerical data from random samples to draw informal comparative inferences about two populations
• KY.7.SP.5Describe the probability of a chance event is a number between 0 and 1, which tells how likely the event is, from impossible (0) to certain (1). A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely and a probability near 1 indicates a likely event
• KY.7.SP.6Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency and predict the approximate relative frequency given the probability
• KY.7.SP.7Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy
• KY.7.SP.8Find probabilities of compound events using organized lists, tables, tree diagrams and simulation