Grade 7 Standards - Math Games

7

Grade 7 Standards

Top Mathematicians

Number & Operations
- 7.N.1.1
  Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal.
- - 7.1
    
    10
    
    Convert Between Decimals and Fractions or Mixed Numbers
- 7.N.1.2
  Compare and order rational numbers expressed in various forms using the symbols <, >, and =.
- - 7.2
    
    15
    
    Put Rational Numbers in Order
  - 7.3
    
    20
    
    Put Decimal Numbers in Order with Numbers Up to 5
  - 7.4
    
    15
    
    Compare Fractions
  - 7.5
    
    15
    
    Compare Fractions
  - 7.6
    
    20
    
    Compare Rational Numbers
- 7.N.1.3
  Recognize and generate equivalent representations of rational numbers, including equivalent fractions.
- - 7.1
    
    10
    
    Convert Between Decimals and Fractions or Mixed Numbers
  - 7.7
    
    20
    
    Choose the Equivalent Fraction Up to Twentieths
  - 7.8
    
    15
    
    Choose the Equivalent Fraction
  - 7.9
    
    15
    
    Reducing Fractions to Lowest Terms
  - 7.10
    
    20
    
    Reduce to Lowest Terms
- 7.N.2.1
  Estimate solutions to multiplication and division of integers in order to assess the reasonableness of results.
- - 7.11
    
    20
    
    Estimate Products Up to 1000
  - 7.12
    
    20
    
    Estimate Quotients
  - 7.13
    
    20
    
    Estimate Quotients Up to 1000
  - 7.14
    
    20
    
    Estimate Quotients Up to 10,000
  - 7.15
    
    15
    
    Estimate Products of Decimal Numbers
  - 7.16
    
    20
    
    Estimate Mixed Equations
- 7.N.2.2
  Illustrate multiplication and division of integers using a variety of representations.
- - 7.17
    
    15
    
    Integer Multiplication and Division Rules
  - 7.18
    
    15
    
    Multiply and Divide Integers
  - 7.19
    
    15
    
    Complete Multiplication and Division Sentences with Integers
- 7.N.2.3
  Solve real-world and mathematical problems involving addition, subtraction, multiplication and division of rational numbers; use efficient and generalizable procedures including but not limited to standard algorithms.
- - 7.20
    
    15
    
    Integer Addition and Subtraction Rules
  - 7.21
    
    20
    
    Add and Subtract Integers
  - 7.22
    
    20
    
    Complete Addition and Subtraction Sentences with Integers
  - 7.23
    
    15
    
    Add and Subtract Integers
  - 7.24
    
    15
    
    Complete Addition and Subtraction Sentences with Integers
  - 7.25
    
    15
    
    Add and Subtract Decimal Numbers
  - 7.26
    
    15
    
    Mixed Equations with Decimals
  - 7.27
    
    20
    
    Add and Subtract Decimals Up to 10
  - 7.28
    
    15
    
    Add and Subtract Decimal Up to 100
  - 7.29
    
    15
    
    Add and Subtract Decimals
  - 7.30
    
    5
    
    Multiply Decimals
  - 7.31
    
    15
    
    Multiply Decimals with Numbers Up to 100
  - 7.32
    
    10
    
    Multiply Decimals and Whole Numbers
  - 7.33
    
    15
    
    Divide Decimals
  - 7.34
    
    15
    
    Divide Decimals by Whole Numbers
  - 7.35
    
    20
    
    Mixed Decimal Equations
  - 7.36
    
    20
    
    Add and Subtract Fractions
  - 7.37
    
    15
    
    Add and Subtract Mixed Numbers
  - 7.38
    
    15
    
    Add and Subtract Mixed Numbers
  - 7.39
    
    15
    
    Multiply Fractions by Whole Numbers
  - 7.40
    
    15
    
    Multiply Fractions with Models
  - 7.41
    
    15
    
    Multiply Fractions
  - 7.42
    
    15
    
    Divide and Multiply Mixed Numbers
  - 7.43
    
    15
    
    Multiply Mixed Numbers
  - 7.44
    
    15
    
    Multiply Fractions by Whole Numbers
  - 7.45
    
    15
    
    Divide Fractions Up to 1/5, 1/7, 1/9
  - 7.46
    
    10
    
    Divide Fractions and Mixed Numbers Up to 1/16, 1/32
  - 7.47
    
    5
    
    Divide Fractions and Mixed Numbers Up to 1/32
  - 7.48
    
    15
    
    Divide Fractions and Mixed Numbers
  - 7.49
    
    10
    
    Divide Fractions and Mixed Numbers Up to 1/16
  - 7.50
    
    15
    
    Mixed Fraction Equations Up to 10
  - 7.51
    
    15
    
    Mixed Equations with Fractions, Mixed Numbers
  - 7.52
    
    15
    
    Add and Subtract Rational Numbers
  - 7.53
    
    15
    
    Multiply and Divide Rational Numbers
  - 7.54
    
    10
    
    Mixed Equations with Money Amounts
- 7.N.2.4
  Raise integers to positive integer exponents.
- - 7.55
    
    10
    
    Understanding Exponents
  - 7.56
    
    10
    
    Evaluate Exponents
  - 7.57
    
    10
    
    Exponents with Negative Bases
  - 7.58
    
    15
    
    Exponents with Decimal and Fractional Bases
- 7.N.2.5
  Solve real-world and mathematical problems involving calculations with rational numbers and positive integer exponents.
- - 7.59
    
    15
    
    Exponents: Solve for the Variable
  - 7.60
    
    15
    
    Compound Interest
- 7.N.2.6
  Explain the relationship between the absolute value of a rational number and the distance of that number from zero on a number line. Use the symbol for absolute value.
- - 7.61
    
    20
    
    Absolute Value and Opposite Integers
  - 7.62
    
    10
    
    Integer Inequalities with Absolute Values
  - 7.63
    
    10
    
    Rational Numbers: Absolute Value of Rational Numbers
  - 7.64
    
    15
    
    Absolute Value of Rational Numbers
Data & Probability
- 7.D.1.1
  Design simple experiments, collect data and calculate measures of central tendency (mean, median, and mode) and spread (range). Use these quantities to draw conclusions about the data collected and make predictions.
- - 7.146
    
    10
    
    Mean: Find the Missing Number
  - 7.147
    
    10
    
    Range: Find the Missing Number
  - 7.148
    
    10
    
    Mean, Median, Mode, and Range: Find the Missing Number
  - 7.149
    
    10
    
    Mode: Find the Missing Number
  - 7.150
    
    10
    
    Median: Find the Missing Number
  - 7.151
    
    5
    
    Changes in Mean
  - 7.152
    
    5
    
    Changes in Median
  - 7.153
    
    5
    
    Changes in Mean, Median, Mode, and Range
  - 7.154
    
    5
    
    Changes in Mode
  - 7.155
    
    5
    
    Changes in Range
- 7.D.1.2
  Use reasoning with proportions to display and interpret data in circle graphs (pie charts) and histograms. Choose the appropriate data display and know how to create the display using a spreadsheet or other graphing technology.
- - 7.156
    
    5
    
    Interpret Histograms
  - 7.157
    
    5
    
    Create Histograms
  - 7.158
    
    5
    
    Interpret Circle Graphs
  - 7.159
    
    5
    
    Circle Graphs and Central Angles
  - 7.160
    
    5
    
    Choose the Best Graph Type
- 7.D.2.1
  Determine the theoretical probability of an event using the ratio between the size of the event and the size of the sample space; represent probabilities as percents, fractions and decimals between 0 and 1.
- - 7.161
    
    5
    
    Probability of Simple Events
  - 7.162
    
    5
    
    Probability of Opposite and Overlapping Events
- 7.D.2.2
  Calculate probability as a fraction of sample space or as a fraction of area. Express probabilities as percents, decimals and fractions.
- - 7.163
    
    15
    
    Experimental Probability
  - 7.164
    
    5
    
    Probability Problems
- 7.D.2.3
  Use proportional reasoning to draw conclusions about and predict relative frequencies of outcomes based on probabilities.
- - 7.165
    
    5
    
    Making Predictions
  - 7.166
    
    5
    
    Prediction Problems
Algebraic Reasoning & Algebra
- 7.A.1.1
  Describe that the relationship between two variables, x and y, is proportional if it can be expressed in the form y/x = kx; distinguish proportional relationships from other relationships, including inversely proportional relationships (xy = k or y = k/x).
- - 7.65
    
    15
    
    Find the Constant of Variation
  - 7.66
    
    15
    
    Constant of Variation with Tables
  - 7.67
    
    15
    
    Find the Proportional Relationship
  - 7.68
    
    15
    
    Find the Constant of Variation with Tables
  - 7.69
    
    5
    
    Identify Proportional Relationships
  - 7.70
    
    5
    
    Graph a Proportional Relationship
  - 7.71
    
    10
    
    Linear Function with Intercepts
  - 7.72
    
    10
    
    Algebra: Linear Function
  - 7.73
    
    15
    
    Proportional Relationships
  - 7.74
    
    10
    
    Algebra: Linear Function with Intercepts
- 7.A.1.2
  Recognize that the graph of a proportional relationship is a line through the origin and the coordinate (1,r), where both r and the slope are the unit rate (constant of proportionality, k).
- - 7.69
    
    5
    
    Identify Proportional Relationships
  - 7.70
    
    5
    
    Graph a Proportional Relationship
- 7.A.2.1
  Represent proportional relationships with tables, verbal descriptions, symbols, and graphs; translate from one representation to another. Determine and compare the unit rate (constant of proportionality, slope, or rate of change) given any of these representations.
- - 7.75
    
    15
    
    Unit Rates
  - 7.76
    
    5
    
    Compare Ratios
  - 7.77
    
    15
    
    Estimate Using Proportions
  - 7.67
    
    15
    
    Find the Proportional Relationship
  - 7.78
    
    10
    
    Rate of Change
  - 7.79
    
    5
    
    Constant Rate of Change
  - 7.69
    
    5
    
    Identify Proportional Relationships
  - 7.70
    
    5
    
    Graph a Proportional Relationship
  - 7.80
    
    5
    
    Find the Constant of Variation Graphs
  - 7.71
    
    10
    
    Linear Function with Intercepts
  - 7.72
    
    10
    
    Algebra: Linear Function
  - 7.73
    
    15
    
    Proportional Relationships
  - 7.74
    
    10
    
    Algebra: Linear Function with Intercepts
- 7.A.2.2
  Solve multi-step problems involving proportional relationships involving distance-time, percent increase or decrease, discounts, tips, unit pricing, similar figures, and other real-world and mathematical situations.
- - 7.81
    
    15
    
    Percent Change
  - 7.82
    
    15
    
    Constant of Variation
  - 7.83
    
    20
    
    Price Lists
  - 7.84
    
    15
    
    Consumer Math: Price Lists
  - 7.85
    
    20
    
    Consumer Math: Unit Prices
  - 7.86
    
    15
    
    Unit Prices with Unit Conversions Up to 20
  - 7.87
    
    15
    
    Unit Prices with Metric Unit Conversions II
  - 7.88
    
    15
    
    Unit Prices with Metric Unit Conversions Up to 20
  - 7.89
    
    15
    
    Unit Prices with Unit Conversions Up to 40
  - 7.90
    
    15
    
    Unit Prices: Find the Total
  - 7.91
    
    20
    
    Percent of a Number: Tax, Discount, Tip
  - 7.92
    
    15
    
    Find the Percent: Tax, Discount
  - 7.93
    
    15
    
    Sale Prices: Find the Original Price
  - 7.94
    
    15
    
    Percents with Multi-Step Problems
- 7.A.2.3
  Use proportional reasoning to solve real-world and mathematical problems involving ratios.
- - 7.65
    
    15
    
    Find the Constant of Variation
  - 7.76
    
    5
    
    Compare Ratios
  - 7.82
    
    15
    
    Constant of Variation
  - 7.95
    
    15
    
    Equivalent Ratios
  - 7.96
    
    5
    
    Equivalent Ratios
  - 7.97
    
    15
    
    Ratios and Proportions
  - 7.98
    
    15
    
    Ratios and Proportions
  - 7.99
    
    15
    
    Solving Proportions
  - 7.100
    
    15
    
    Solving Proportions
- 7.A.2.4
  Use proportional reasoning to assess the reasonableness of solutions.
- - 7.77
    
    15
    
    Estimate Using Proportions
  - 7.101
    
    15
    
    Estimate Percents of Numbers
  - 7.102
    
    15
    
    Estimate Tips
- 7.A.3.1
  Write and solve problems leading to linear equations with one variable in the form px + q = r and p(x + q) = r, where p, q, r are rational numbers.
- - 7.103
    
    5
    
    Solve Equations Using Properties
  - 7.104
    
    5
    
    Evaluate Variable Expressions with Whole Numbers
  - 7.105
    
    5
    
    Model and Solve Equations Using Algebra Tiles
  - 7.107
    
    5
    
    Solve One-Step Linear Equations
  - 7.108
    
    5
    
    Solve Two-Step Linear Equations
  - 7.109
    
    10
    
    Solve Equations Involving Like Terms
  - 7.110
    
    15
    
    Evaluate Multi-Variable Expressions
  - 7.74
    
    10
    
    Algebra: Linear Function with Intercepts
- 7.A.3.2
  Represent, write, solve, and graph problems leading to linear inequalities with one variable in the form x+ p > q and x + p < q, where p, and q are nonnegative rational numbers.
- - 7.111
    
    10
    
    Solutions to Variable Inequalities
  - 7.112
    
    10
    
    Variable Inequalities
  - 7.114
    
    5
    
    Solve One-Step Linear Inequalities
  - 7.115
    
    5
    
    Solve One-Step Linear Equations
  - 7.117
    
    5
    
    Solve Two-Step Linear Equations
  - 7.118
    
    15
    
    Solve Two-Step Linear Inequalities
- 7.A.3.3
  Represent real-world or mathematical situations using equations and inequalities involving variables and rational numbers.
- - 7.105
    
    5
    
    Model and Solve Equations Using Algebra Tiles
  - 7.74
    
    10
    
    Algebra: Linear Function with Intercepts
- 7.A.4.1
  Use properties of operations (limited to associative, commutative, and distributive) to generate equivalent numerical and algebraic expressions containing rational numbers, grouping symbols and whole number exponents.
- - 7.120
    
    15
    
    Properties of Addition and Multiplication
  - 7.121
    
    10
    
    Simplify Variable Expressions
  - 7.122
    
    5
    
    Distributive Property
  - 7.123
    
    10
    
    Add and Subtract Like Terms
  - 7.124
    
    10
    
    Simplify Variable Expressions Using Properties
- 7.A.4.2
  Apply understanding of order of operations and grouping symbols when using calculators and other technologies.
- - 7.125
    
    5
    
    Order of Operations
  - 7.126
    
    20
    
    Evaluate Expressions Involving Integers
  - 7.127
    
    20
    
    Simplify Expressions Involving Integers
  - 7.128
    
    15
    
    Evaluate Expressions with Decimals
Geometry & Measurement
- 7.GM.1.1
  Using a variety of tools and strategies, develop the concept that surface area of a rectangular prism with rational-valued edge lengths can be found by wrapping the figure with same-sized square units without gaps or overlap. Use appropriate measurements such as cm².
- - 7.129
    
    5
    
    Surface Area
- 7.GM.1.2
  Using a variety of tools and strategies, develop the concept that the volume of rectangular prisms with rational-valued edge lengths can be found by counting the total number of same-sized unit cubes that fill a shape without gaps or overlaps. Use appropriate measurements such as cm³.
- - 7.130
    
    5
    
    Volume of Cubes and Rectangular Prisms
- 7.GM.2.1
  Develop and use the formula to determine the area of a trapezoid to solve problems.
- - 7.131
    
    5
    
    Area of Triangles and Trapezoids
- 7.GM.2.2
  Find the area and perimeter of composite figures to solve real-world and mathematical problems.
- 7.GM.3.1
  Demonstrate an understanding of the proportional relationship between the diameter and circumference of a circle and that the unit rate (constant of proportionality) is π and can be approximated by rational numbers such as 22/7 and 3.14.
- 7.GM.3.2
  Calculate the circumference and area of circles to solve problems in various contexts, in terms of π and using approximations for π.
- - 7.132
    
    5
    
    Circles: Calculate Area, Radius, Circumference
  - 7.133
    
    5
    
    Circles
  - 7.134
    
    5
    
    Quarter Circles
- 7.GM.4.1
  Describe the properties of similarity, compare geometric figures for similarity, and determine scale factors resulting from dilations.
- - 7.135
    
    15
    
    Scale Drawings and Scale Factors
  - 7.136
    
    5
    
    Similar and Congruent Figures
  - 7.137
    
    5
    
    Congruent Figures: Side Lengths and Angle Measures
  - 7.138
    
    5
    
    Similar Figures Side Lengths and Angle Measures
  - 7.139
    
    5
    
    Similar Figures: Side Lengths and Angle Measures
  - 7.140
    
    5
    
    Similar Figures and Indirect Measurement
- 7.GM.4.2
  Apply proportions, ratios, and scale factors to solve problems involving scale drawings and determine side lengths and areas of similar triangles and rectangles.
- - 7.135
    
    15
    
    Scale Drawings and Scale Factors
  - 7.141
    
    5
    
    Perimeter Area and Volume Changes in Scale
- 7.GM.4.3
  Graph and describe translations and reflections of figures on a coordinate plane and determine the coordinates of the vertices of the figure after the transformation.
- - 7.142
    
    5
    
    Translations: Graph the Image
  - 7.143
    
    10
    
    Translations Find the Coordinates
  - 7.144
    
    5
    
    Reflections: Graph the Image
  - 7.145
    
    10
    
    Reflections Find the Coordinates