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7Grade 7 Standards
Top Mathematicians
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Statistics & Probability
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7.SP.1
Demonstrate an understanding of central tendency and range by:
• determining the measures of central tendency (mean, median, mode) and range
• determining the most appropriate measures of central tendency to report findings. -
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7.97Calculate Mean10
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7.98Calculate Range10
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7.99Calculate Mode10
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7.100Calculate Median10
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7.101Calculate Mean, Median, Mode and Range10
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7.102Interpret Charts to Find Mean, Median, Mode, and Range5
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7.103Interpret Charts to Find Median5
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7.104Interpret Charts to Find Mode5
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7.105Interpret Charts to Find Mean5
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7.106Interpret Charts to Find Range5
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7.107Mean, Median, Mode, and Range: Find the Missing Number10
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7.108Mode: Find the Missing Number10
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7.109Median: Find the Missing Number10
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7.110Mean: Find the Missing Number10
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7.111Range: Find the Missing Number10
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7.112Changes in Median5
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7.113Changes in Mean, Median, Mode, and Range5
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7.114Changes in Mode5
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7.115Changes in Range5
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7.116Changes in Mean5
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7.SP.2
Determine the effect on the mean, median and mode when an outlier is included in a data set.
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7.112Changes in Median5
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7.113Changes in Mean, Median, Mode, and Range5
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7.114Changes in Mode5
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7.115Changes in Range5
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7.116Changes in Mean5
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7.SP.3
Construct, label and interpret circle graphs to solve problems.
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7.117Interpret Circle Graphs5
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7.118Circle Graphs and Central Angles5
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7.SP.4
Express probabilities as ratios, fractions and percents.
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7.119Probability of Simple Events5
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7.120Probability of Opposite and Overlapping Events5
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7.121Experimental Probability15
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7.122Probability Problems5
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7.SP.5
Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.
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7.123Compound Events: Find the Number of Outcomes5
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7.124Counting Principle15
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7.SP.6
Conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table or another graphic organizer) and experimental probability of two independent events.
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7.119Probability of Simple Events5
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7.120Probability of Opposite and Overlapping Events5
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7.121Experimental Probability15
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7.122Probability Problems5
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7.SP.1
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Number
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7.N.1
Determine and apply the divisibility rules for 2, 3, 4, 5, 6, 8, 9 or 10, and explain why a number cannot be divided by 0.
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7.N.2
Demonstrate an understanding of the addition, subtraction, multiplication and division of decimals (for more than 1-digit divisors or 2-digit multipliers, the use of technology is expected) to solve problems.
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7.4Add and Subtract Decimal Numbers15
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7.5Mixed Equations with Decimals15
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7.6Add and Subtract Decimals15
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7.7Add and Subtract Decimals Up to 1020
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7.8Add and Subtract Decimal Up to 10015
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7.9Multiply Decimals with Numbers Up to 10015
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7.10Multiply Decimals5
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7.11Multiply Decimals and Whole Numbers20
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7.12Divide Decimals15
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7.13Divide Decimals by Whole Numbers15
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7.14Mixed Decimal Equations20
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7.15Multi Step Inequalities with Decimals15
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7.16Maps with Decimal Distances5
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7.N.3
Solve problems involving percents from 1% to 100%.
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7.17What Percentage Is Illustrated?10
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7.18Convert Between Percents, Fractions and Decimals15
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7.19Compare Percents to Fractions and Decimals15
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7.20Estimate Percents of Numbers15
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7.21Percents of Numbers and Money Amounts5
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7.22Percents of Numbers5
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7.23Percent Equations15
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7.24Percent Equations15
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7.25Percents with Multi-Step Problems15
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7.N.4
Demonstrate an understanding of the relationship between positive repeating decimals and positive fractions, and positive terminating decimals and positive fractions.
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7.N.5
Demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially and symbolically (limited to positive sums and differences).
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7.27Add and Subtract Fractions20
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7.28Add, Subtract Fractions with Like Denominators15
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7.29Subtract Fractions20
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7.30Add Fractions20
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7.31Add Fractions with Unlike Denominators20
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7.32Subtract Fractions with Unlike Denominators20
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7.33Add and Subtract Fractions with Unlike Denominators15
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7.34Add and Subtract Mixed Numbers15
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7.35Add and Subtract Mixed Numbers15
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7.36Add, Subtract Inequalities with Fractions and Mixed Numbers15
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7.37Estimate Sums and Differences of Mixed Numbers15
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7.N.6
Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.
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7.N.7
Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using:
• benchmarks
• place value
• equivalent fractions and/or decimals. -
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7.43Put Decimal Numbers in Order with Numbers Up to 520
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7.44Identify Place Values in Decimal Numbers10
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7.45Choose the Equivalent Fraction Up to Twentieths20
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7.46Choose the Equivalent Fraction15
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7.47Reduce to Lowest Terms20
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7.48Reducing Fractions to Lowest Terms15
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7.49Compare Fractions15
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7.50Compare Fractions15
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7.51Convert Between Improper Fractions and Mixed Numbers15
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7.52Compare Mixed Numbers and Improper Fractions15
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7.N.1
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Patterns and Relations
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7.PR.1
Demonstrate an understanding of oral and written patterns and their equivalent linear relations.
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7.53Constant Rate of Change5
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7.54Find the Constant of Variation Graphs5
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7.55Graph a Proportional Relationship5
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7.56Identify Proportional Relationships5
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7.57Function Tables15
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7.58Write Linear Functions10
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7.PR.2
Create a table of values from a linear relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.
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7.57Function Tables15
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7.58Write Linear Functions10
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7.59Linear Function5
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7.60Two-Variable Equations5
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7.61Graph Linear Functions15
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7.62Graph a Line from an Equation10
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7.63Graph a Line from a Function Table10
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7.64Interpret Double Bar Graphs5
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7.65Interpret Double Line Graphs5
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7.66Interpret Bar Graphs5
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7.67Interpret Line Graphs5
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7.68Complete a Function Table10
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7.69Write a Rule for a Function Table10
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7.PR.3
Demonstrate an understanding of preservation of equality by:
• modeling preservation of equality, concretely, pictorially and symbolically
• applying preservation of equality to solve equations. -
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7.23Percent Equations15
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7.24Percent Equations15
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7.25Percents with Multi-Step Problems15
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7.70Simplify Variable Expressions10
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7.71Simplify Variable Expressions Using Properties10
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7.72Model and Solve Equations Using Algebra Tiles5
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7.74Solving Proportions15
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7.75Solve One-Step Linear Equations5
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7.76Solve Two-Step Linear Equations5
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7.77Algebra: Linear Function with Intercepts10
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7.78Evaluate Variable Expressions with Whole Numbers5
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7.79Solve Equations Involving Like Terms10
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7.PR.4
Explain the difference between an expression and an equation.
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7.PR.5
Evaluate an expression given the value of the variable(s).
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7.PR.6
Model and solve problems that can be represented by one-step linear equations of the form x + a = b, concretely, pictorially and symbolically, where a and b are integers.
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7.PR.7
Model and solve problems that can be represented by linear equations of the form:
• ax + b = c
• ax = b
• x/a = b, a is not equal to 0
• concretely, pictorially and symbolically, where a, b and c are whole numbers. -
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7.59Linear Function5
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7.60Two-Variable Equations5
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7.72Model and Solve Equations Using Algebra Tiles5
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7.75Solve One-Step Linear Equations5
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7.76Solve Two-Step Linear Equations5
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7.77Algebra: Linear Function with Intercepts10
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7.78Evaluate Variable Expressions with Whole Numbers5
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7.79Solve Equations Involving Like Terms10
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7.PR.1
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Shape and Space
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7.SS.1
Demonstrate an understanding of circles by:
• describing the relationships among radius, diameter and circumference of circles
• relating circumference to pi
• determining the sum of the central angles
• constructing circles with a given radius or diameter
• solving problems involving the radii, diameters and circumferences of circles. -
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7.81Parts of a Circle5
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7.82Circles: Calculate Area, Radius, Circumference5
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7.83Circles5
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7.84Quarter Circles5
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7.SS.2
Develop and apply a formula for determining the area of:
• triangles
• parallelograms
• circles. -
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7.82Circles: Calculate Area, Radius, Circumference5
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7.83Circles5
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7.85Area of Right Triangles10
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7.86Area of Rectangles and Parallelograms5
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7.SS.3
Perform geometric constructions, including:
• perpendicular line segments
• parallel line segments
• perpendicular bisectors
• angle bisectors. -
7.SS.4
Identify and plot points in the four quadrants of a Cartesian plane using integral ordered pairs.
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7.88Coordinate Graphs Review10
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7.89Relative Coordinates15
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7.SS.5
Perform and describe transformations (translations, rotations or reflections) of a 2-D shape in all four quadrants of a Cartesian plane (limited to integral number vertices).
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7.90Identify Reflections, Rotations and Translations5
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7.91Translations: Graph the Image5
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7.92Translations Find the Coordinates10
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7.93Reflections: Graph the Image5
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7.94Reflections Find the Coordinates10
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7.95Rotations: Graph the Image10
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7.96Rotations Find the Coordinates10
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7.SS.1