Ratios and Proportional Relationships

• Standard 7.RP.1: Unit rates in fractions
• Standard 7.RP.2: Proportional ratios (constant of proportionality) in equations, tables, coordinate grid, word form. 
• Standard 7.RP.3 Use proportional ratios to solve percents and ratio problems.  (interest, tax, tips)

The Number System

• Standard 7.NS.1: Adding and subtracting rational numbers on a number line. (inverses, positive and negative distance) 

• Standard 7.NS.2: Multiplying and dividing fractions and rational numbers

• Convert a rational number to a decimal using long division.

• Standard 7.NS.3:  Use addition, subtraction, multiplication, and division to solve real world problems.

Expressions and Equations

• Standard 7.EE.1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

• Standard 7.EE.2: Rewriting expression and breaking down meaning.

• Standard 7.EE.3: Solve multistep equations using fractions, decimals, and percents

• Standard 7.EE.4 Use variables to construct equations representing the real world. 

Geometry 

• Standard 7.G.1: Scale Factor

• Standard 7.G.2: Construct triangles given angle measures, or sides.  Determine if it’s a unique triangle, more than one triangle, or  no triangle.

• Standard 7.G.3: Cross sections of 3d figures

• Standard 7.G.4: Area and circumference of a circle

• Standard 7.G.5: Solve angle relationships of transversals

• Standard 7.G.6: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Statistics and Probability

• Standard 7.SP.1: Statistics used for generalizations when it’s a random sample.  Understanding validity.

• Standard 7.SP.2: Use samples to make predictions for general population.  Ex: 100 words on one page how many in the whole book?

• Standard 7.SP.3: Assess differences in measures of center.

• Standard 7.SP.4: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

• Standard 7.SP.5: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. 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.

• Standard 7.SP.6 Approximate 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. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.

• Standard 7.SP.7: Develop 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.

• Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected. 
• Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies? 

• Standard 7.SP.8:Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

• Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. 

• Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event. 

• Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?