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Multiply and divide expressions involving exponents with a common base. 7NS2.1QAdd and subtract fractions by using factoring to find common denominators. 7NS2.2OMultiply, divide, and simplify rational numbers by using exponent rules. 7NS2.3>Compute the range, mean, median, and mode of data sets. 6PS1.1kIdentify claims based on statistical data and, in simple cases, evaluate the validity of the claims. 6PS2.5Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. 6PS3.1KUnderstand the difference between independent and dependent events.. 6PS3.5Know various forms of display for data sets, including a stem-and-leaf plot or box-and- whisker plot; use the forms to display a single set of data or to compare two sets of data. 7PS1.1Represent two numerical variables on a scatterplot and informally describe how the data points are distributed and any apparent relationship that exists between the two variables (e.g., between time spent on homework and grade level). 7PS1.2Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent. 7AF2.2SGraph functions of the form y = nx^2 and y = nx^3and use in solving problems.7AF3.1<Construct and read drawings and models made to scale. 7MG1.2Use measures expressed as rates (e.g., speed, density) and measures expressed as products (e.g., person-days) to solve problems; check the units of the solutions; and use dimensional analysis to check the reasonableness of the answer. 7MG1.3Relate the changes in measurement with a change of scale to the units used (e.g., square inches, cubic feet) and to conversions between units (1 square foot = 144 square inches or 1 cubic inch is ftapproximately 16.38 cubic centimeters) 7MG2.4Understand and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine their image under translations and reflections. 7MG3.2Demonstrate an understanding of conditions that indicate two geometrical figures are congruent and what congruence means about the relationships between the sides and angles of the two figures. 7MG3.4Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12. 1A4.0Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each ste 1A5.0fStudents graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4). 1A6.0Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations. 1A7.0rStudents understand the concepts of parallel lines and perpendicular lines and how their slopes are related. 1A8.0Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques. 1A10.0oStudents apply algebraic techniques to solve rate problems, work problems, and percent mixture problems. 1A15.0Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measureUse variables and operations to write an expression, equation, inequality, or system of equations or inequalities that represents a verbal description 7AF1.1Add, subtract, multiply, and divide rationals (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers. 7NS1.2KUse the order of operations to evaluate expressions like 3(2x + 5)^2 7AF1.2pRepresent quantitative relationships graphically and interpret the meaning of a specific part of a graph. 7AF1.5Interpret positive powers as repeated multiplication and negative powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions with exponents.7AF2.1bFind discounts, markups, commissions, and profit, and compute simple and compound interest. 7NS1.7Plot the values of quantities whose ratios are always the same. Fit a line to the plot and understand that the slope of the line equals thequantities. 7AF3.4vCompare weights, capacities, geometric measures, times, and temperatures within and between measurement systems 7MG1.1Interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers. 7NS2.5Use the relationship between squares and square roots. For not-square integers, find the two integers between which its square root lies and say why. 7NS2.4Use formulas for the perimeter and area of 2-d figures and the surface area and volume of 3-d figures, i.e. rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylindersEstimate and compute the area of more complex or irregular 2-d and 3-d figures by breaking the figures down into basic objects. 7MG2.2Represent probabilities as ratios, proportions, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable; know that if is the probability of an event is P, P - 1 is the probability of an event not occurringTopic 1: Number Sense1Topic 2:Statistics, Data Analysis and ProbabilityTopic 3: Algebra and FunctionsTaking the opposite, finding the reciprocal, and taking a root, and raising to a fractional power. Understand and use the rules of exponents.1A2.0ASolve equations and inequalities involving absolute values.1A3.0nConvert fractions to decimals and percents and use them in estimations, computations, and applications. 7NS1.3Compute the perimeter, the surface area, and the volume of a 3-D rectangular object. Know that when the lengths of all dimensions are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor and volume is multiplied Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same and know that the ratio ( rise over run ) is called the slope of a graph.7AF3.3!Topic 4: Measurement and GeometryTopic 6: Algebra 1Topic 5: Mathematical ReasoningAnalyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns. 7MR1.1Formulate and justify mathematical conjectures based on a general description of the mathematical question or problem posed. 7MR1.2HUse estimation to verify the reasonableness of calculated results.7MR2.1Estimate unknown quantities graphically and solve for them by using logical reasoning and arithmetic and algebraic techniques.7MR2.3PMake and test conjectures by using both inductive and deductive reasoning.7MR2.4xDevelop generalizations of the results obtained and the strategies used and apply them to new problem situations. 7MR3.3Released QuestionsClass ParticipationAssignments/GamesSuccessful CAHSEETotal PointsStudent NameTeacher SignatureDate CompletedGradeDatePeriodSolve two-step linear equations and inequalities in one variable, interpret the solution(s) and verify the reasonableness of the results. 7AF4.1hSolve multistep problems involving rate, average speed, distance, and time or a direct variation.<S 7AF4.2Solve a system of two linear equations in two variables algebraically and interpret graphically. Solve a system of two linear inequalities and sketch the solution sets. 1A9.0Final Grade Entered byGrade Entered Date!Essential Math 100 point contractHSTutorials.netPage 1 of 2%Essential Math Contract - page 2 of 2R)}U!b
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