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ND.7.EE.Expressions and Equations
Expressions and Equations
Use properties of operations to generate equivalent expressions.
7.EE.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients with an emphasis on writing equivalent expressions.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.3. Solve multi-step real-life and mathematical problems posed with rational numbers in any form (positive and negative, fractions, decimals, and integers), using tools strategically. Apply properties of operations to calculate with numbers in any form. Conve
7.EE.4. Use variables to represent quantities in a real world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
7.EE.4.a. Solve word problems leading to equations of the form px+q=r and ݑ(ݰݑ+Űݑ)=ްݑ, where ߰ݑ,ݰݑ, and ްݑ are specific rational numbers. Solve equations of these forms fluently. Compare the algebraic solution to an arithmetic solution, identifying the sequence of
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
ND.7.G.Geometry
Geometry
Draw, construct, and describe geometrical figures and describe the relationships between them.
7.G.1. Solve 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.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
7.G.4. Know the formulas for the area and circumference of a circle and use them to solve problems. Informally derive the relationship between the circumference and area of a circle.
7.G.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve equations for an unknown angle in a figure.
Quiz, Flash Cards, Worksheet, Game & Study GuideFinding Volume
7.G.6. Solve real world and mathematical problems involving area of two-dimensional figures composed of polygons and/or circles, including composite figures. Use nets to solve real world and mathematical problems involving surface area of prisms and cylinders, i
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
ND.7.NS.The Number system
The Number system
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
7.NS.1. Apply 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.
7.NS.1.a. Describe situations in which opposite quantities combine to make 0.
7.NS.1.b. Understand ݑ+ݰݑ as the number located a distance |ްݑ| from ްݑ on a number line, in the direction indicated by the sign of ݰݑ. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing rea
7.NS.1.c. Understand subtraction of rational numbers as adding the additive inverse, ݑݢȒݑ=ްݑ+(ݢȒݑ). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real world contexts.
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
7.NS.2. Apply and extend previous understandings of multiplication, division, and fractions to multiply and divide rational numbers.
7.NS.2.a. eading to products such as (−1)(−1)=1 and the rules for multiplying rational numbers. Interpret products of rational numbers by describing real world contexts.
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
7.NS.2.b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If ݑ and ݰݑ are integers, then ޢ (ݑ/ݰݑ)=ޢȒݑ/ݰݑ=ްݑ/ݢȒݑ. Interpret products of rational numbers by d
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
7.NS.2.d. Convert a rational number to a decimal using long division. Know that the decimal form of a rational number terminates or eventually repeats.
Analyze proportional relationships and use them to solve real world and mathematical problems.
7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
7.RP.2. Recognize and represent proportional relationships between quantities.
7.RP.2.b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
Use random sampling to draw inferences about a population.
7.SP.1. Understand that statistics can be used to gain information about a population by examining a sample of the population. Understand that generalizations about a population from a sample are valid only if the sample is representative of that population. Unde
7.SP.2. Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.
Investigate chance processes and develop, use, and evaluate probability models.
7.SP.5. Understand that the probability of a chance event is a number from 0 through 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 indica
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. Predict the approximate relative frequency given the probability.
7.SP.7. Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies. If there is a discrepancy, explain possible sources.
7.SP.7.a. Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
7.SP.8. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
7.SP.8.a. 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.
7.SP.8.b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (such as “rolling double sixes”), identify the outcomes in the sample space which compose the event.