Scope & Sequence

 UNIT 1 TITLE: The Real Number System and Rational Number Operations NUMBER OF DAYS: 25 POWER STANDARDS 7.NS.A- Apply and extend previous understandings of operations to add, subtract, multiply and divide rational numbers. SUPPORTING STANDARDS 7.NS.A.1- Apply and extend previous understandings of numbers to add and subtract rational numbers 7.NS.A.2d- Convert a rational number to a decimal. 7.NS.A.1a- Add and subtract rational numbers. 7.NS.A.1c- Describe situations and show that a number and its opposite have a sum of 0 (additive inverses) 7.NS.A.2- Apply and extend previous understandings of numbers to multiply and divide rational numbers 7.NS.A.2b- Determine that a number and its reciprocal have a product of 1 (multiplicative inverse). 7.NS.A.3- Solve problems involving the four arithmetic operations with rational numbers. 7.NS.A.2a- Multiply and divide rational numbers 7.NS.A.1d- Understand subtraction of rational numbers as adding the additive inverse

 UNIT 2 TITLE: Algebraic Expressions, Equations and Inequalities NUMBER OF DAYS: 24 POWER STANDARDS 7.EEI.A- Use properties of operations to generate equivalent expressions 7.EEI.B- Solve problems using numerical and algebraic expressions and equations SUPPORTING STANDARDS 7.EEI.A.1- Apply properties of operations to simplify and to factor linear algebraic expressions with rational coefficients. 7.EEI.A.2- Understand how to use equivalent expressions to clarify quantities in a problem 7.EEI.B.3- Solve multi-step problems posed with rational numbers. 7.EEI.B.4- Write and/or solve linear equations and inequalities in one variable. 7.EEI.B.4a- Write and/or solve equations of the form x+p = q and px = q in which p and q are rational numbers. 7.EEI.B.4b- Write and/or solve two-step equations of the form px + q = r and p(x + q) = r, where p, q and r are rational numbers, and interpret the meaning of the solution in the context of the problem.

 UNIT 3 TITLE: Direct and Inverse Proportion NUMBER OF DAYS:10 POWER STANDARDS 7.RP.A- Analyze proportional relationships and use them to solve problems SUPPORTING STANDARDS 7.RP.A.2- Recognize and represent proportional relationships between quantities. 7.RP.A.2a- Determine when two quantities are in a proportional relationship 7.RP.A.2b- Identify and/or compute the constant of proportionality (unit rate). 7.RP.A.2c- Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation. 7.RP.A.2d- Recognize that the graph of any proportional relationship will pass through the origin. 7.RP.A.3- Solve problems involving ratios, rates, percentages and proportional relationships.

 UNIT 4 TITLE: Angles Properties, Straight Lines, Geometric Construction, Volume and Spheres NUMBER OF DAYS: 30 POWER STANDARDS 7.GM.A- Draw and describe geometrical figures and describe the relationships between them 7.GM.B- Apply and extend previous understanding of angle measure, area and volume SUPPORTING STANDARDS 7.GM.A.1- Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale. 7.GM.A.2- Use a variety of tools to construct geometric shapes 7.GM.B.5- Use angle properties to write and solve equations for an unknown angle. 7.GM.A.3- Describe two-dimensional cross sections of pyramids, prisms, cones and cylinders 7.GM.A.4- Understand concepts of circles 7.GM.B.6- Understand the relationship between area, surface area and volume.

 UNIT 5 TITLE: Statistics and Probability NUMBER OF DAYS: 20 POWER STANDARDS 7.DSP.A- Use random sampling to draw inferences about a population. 7.DSP.C- Develop, use and evaluate probability models. SUPPORTING STANDARDS 7.DSP.A.1- Understand that statistics can be used to gain information about a population by examining a sample of the population. 7.DSP.A.2- Use data from multiple samples to draw inferences about a population and investigate variability in estimates of the characteristic of interest. 7.DSP.B.3- Analyze different data distributions using statistical measures. 7.DSP.B.4- Compare the numerical measures of center, measures of frequency and measures of variability from two random samples to draw inferences about the population 7.DSP.C.7- Explain possible discrepancies between a developed probability model and observed frequencies 7.DSP.8a- Represent the sample space of a compound event. 7.DSP.8b- Design and use a simulation to generate frequencies for compound events 7.DSP.C.5- Investigate the probability of chance events 7.DSP.C.6- Investigate the relationship between theoretical and experimental probabilities for simple events 7.DSP.C.8- Find probabilities of compound events using organized lists, tables, tree diagrams and simulations.