7th Grade Math Standards

Scope & Sequence

7th Grade Matht

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.


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