Grade 7 Math

Completion: 0%

Ratios and Proportional Relationships

7.RP.17.RP.27.RP.3
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Ratio Table with Fractional Values--
Constant of Proportionality from a Table--
Constant of Proportionality or Not Proportional--
Solve a Proportion from a Word Problem (Table)--

Percents

7.RP.3
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Percent Increase and Decrease--
Sales Tax--
Calculate a Tip--
Discount and Sale Price--
Simple Interest (I = Prt)--
Percent Error--

Integer Operations

7.NS.17.NS.27.NS.3
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Add to Negative--
Subtract From Negative--
Add Negatives--
Subtract Negatives--
Add/Subtract Negatives--
Multiply Integers (Opposite Signs)--
Multiply Integers (Both Negative)--
Multiply Integers (Mixed Signs)--
Divide Integers (Opposite Signs)--
Divide Integers (Both Negative)--
Divide Integers (Mixed Signs)--
Mixed Integer Operations--

Order of Operations

7.NS.3
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Signed MDAS (with Negatives)--
Parentheses with Negatives--
Decimal MDAS--

Expressions

7.EE.1
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Evaluate ax + b at a Value--
Evaluate ax + b at a Negative Value--
Evaluate a Formula at Given Values--
Combine Like Terms--
Combine Like Terms with Constants--
Distributive Property--

Linear Equations

7.EE.4
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One-Step Equations: Add & Subtract--
One-Step Equations: Multiply & Divide--
Two-Step Equations (Positives)--
Two-Step Equations--

Solving Inequalities

7.EE.4
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One-Step Inequalities (Add & Subtract)--
One-Step Inequalities (Multiply & Divide)--
Two-Step Inequalities--
Inequalities with Negative Coefficients--

Probability

7.SP.57.SP.67.SP.77.SP.8
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Likelihood: Impossible to Certain--
Probability on a Die--
Probability on a Spinner--
Probability from a Bag of Marbles--
Complement Probability: P(not A)--
Probability as a Percent--
Experimental Probability--
Sample Space: Counting Principle--
Compound Independent Events--

Statistics and Sampling

7.SP.17.SP.37.SP.4
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Identify a Random Sample--
Compare Means of Two Groups--
Compare Ranges of Two Groups--

Scale Drawings

7.G.1
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Drawing Length to Actual Length--
Actual Length to Drawing Length--
Scale Factor Applied to Area--

Circle Area and Circumference

7.G.4
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Circumference from Radius--
Circumference from Diameter--
Area from Radius--
Area from Diameter--
Circumference in Terms of π--

Angle Relationships

7.G.5
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Supplementary Angles--
Complementary Angles--
Vertical Angles--
Solve for x Using Supplementary Angles--

Triangle Construction

7.G.2
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Triangle Inequality: Range of the Third Side--
Missing Angle in a Triangle--
Sum the Three Angles to Check a Triangle--
Unique, Many, or No Triangle?--

Volume and Surface Area

7.G.B.6
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Volume of a Box (Word Problem)--
Missing Dimension from Volume--
Volume of a Triangular Prism--
Volume of a Composed Prism--
Surface Area of a Cube (Word Problem)--
Surface Area of a Box (Word Problem)--

Common Core Standards

RP — Ratios & Proportional Relationships

Analyze proportional relationships and use them to solve real-world and mathematical problems.
  • 7.RP.1Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
  • 7.RP.2Recognize and represent proportional relationships between quantities.
  • 7.RP.3Use proportional relationships to solve multistep ratio and percent problems.

NS — The Number System

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
  • 7.NS.1Apply 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.2Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
  • 7.NS.3Solve real-world and mathematical problems involving the four operations with rational numbers.

EE — Expressions & Equations

Use properties of operations to generate equivalent expressions.
  • 7.EE.1Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
  • 7.EE.2Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
  • 7.EE.3Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically.
  • 7.EE.4Use 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.

G — Geometry

Draw, construct, and describe geometrical figures and describe the relationships between them.
  • 7.G.1Solve 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.
  • 7.G.2Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
  • 7.G.3Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
  • 7.G.4Know the formulas for the area and circumference of a circle and use them to solve problems.
  • 7.G.5Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
  • 7.G.6Solve 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.

SP — Statistics & Probability

Use random sampling to draw inferences about a population.
  • 7.SP.1Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population.
  • 7.SP.2Use 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.
Draw informal comparative inferences about two populations.
  • 7.SP.3Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.
  • 7.SP.4Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
Investigate chance processes and develop, use, and evaluate probability models.
  • 7.SP.5Understand 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.
  • 7.SP.6Approximate 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.
  • 7.SP.7Develop 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.
  • 7.SP.8Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.