7.NSO-N: Number Sense

7.NSO-N.2: Know that in decimal form, rational numbers either terminate or eventually repeat; locate rational numbers on the number line; convert between common repeating decimals and fractions.

 Fraction Garden (Comparing Fractions)
 Rational Numbers, Opposites, and Absolute Values

7.NSO-N.3: Know the concept of absolute value (e.g., |–3| = |3| = 3).

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

7.NSO-N.5: Differentiate between rational and irrational numbers (i.e., know that irrational numbers cannot be expressed as the quotient of two integers and cannot be represented by terminating or repeating decimals).

 Rational Numbers, Opposites, and Absolute Values

7.NSO-N.6: Interpret positive whole-number powers as repeated multiplication and negative powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.

 Exponents and Power Rules
 Order of Operations
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

7.NSO-N.8: Express ratios in several ways (e.g., 3 cups to 5 people; 3:5; 3/5); recognize and find equivalent ratios.

 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

7.NSO-N.9: Know the meaning of a square root of a number and its connection to the square whose area is the number.

 Square Roots

7.NSO-C: Computation and Operations

7.NSO-C.10: Compute with fractions (including simplification of fractions), integers, decimals, and percentages (including those greater than 100 and less than 1) using the four operations and combinations of the four operations.

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Addition of Polynomials
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals
 Toy Factory (Set Models of Fractions)

7.NSO-C.11: Demonstrate an understanding of the properties of arithmetic operations on rational numbers (integers, fractions, and terminating decimals); convert terminating decimals into reduced fractions.

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers

7.NSO-C.13: Calculate the percentage increase and decrease of a quantity.

 Percent of Change

7.NSO-C.14: Use ratios and proportions in the solution of problems involving unit rates, scale drawings, and reading of maps.

 Beam to Moon (Ratios and Proportions)
 Dilations
 Direct and Inverse Variation
 Household Energy Usage
 Road Trip (Problem Solving)

7.NSO-C.17: Use the inverse relationships of addition/subtraction and multiplication/division to simplify computations and solve problems (e.g., multiplying by 1/2 or 0.5 is the same as dividing by 2).

 Function Machines 3 (Functions and Problem Solving)
 Modeling One-Step Equations
 Solving Two-Step Equations

7.NSO-C.18: Use the associative, commutative, and distributive properties; properties of the identity and inverse elements (e.g., -7 + 7 = 0; 3/4 x 4/3 = 1) to solve problems.

 Adding and Subtracting Integers
 Chocomatic (Multiplication, Arrays, and Area)
 Square Roots

7.NSO-C.19: Know and apply the Order of Operations rules to expressions involving powers and roots.

 Order of Operations

7.NSO-E: Estimation

7.NSO-E.20: Estimate results of computations with rational numbers; determine estimates to a certain stated accuracy.

 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Improper Fractions and Mixed Numbers
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

7.PRA: Patterns, Relations, and Algebra

7.PRA.3: Use the correct order of operations to evaluate expressions (e.g., 3(2x) = 5).

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Order of Operations
 Solving Equations on the Number Line

7.PRA.4: Create and use symbolic expressions for linear relationships, and relate them to verbal and graphical representations.

 Linear Functions
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Solving Equations by Graphing Each Side
 Standard Form of a Line

7.PRA.5: Use variables and appropriate operations to write an expression, equation, or inequality that represents a verbal description (e.g., 3 less than a number, 1/2 as large as area A).

 Linear Functions
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

7.PRA.6: Write and solve two-step linear equations and check the answers.

 Modeling and Solving Two-Step Equations

7.PRA.9: Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse) and operations of rational numbers (distributive, associative, commutative); justify the process used.

 Order of Operations
 Solving Algebraic Equations II

7.PRA.10: Use algebraic terminology including, but not limited to, variable, equation, term, coefficient, inequality, expression, and constant.

 Compound Interest
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Using Algebraic Equations
 Using Algebraic Expressions

7.G: Geometry

7.G.2: Demonstrate an understanding of conditions that indicate two geometrical figures are congruent and what congruence means about the relationships between the sides and angles of the two figures.

 Constructing Congruent Segments and Angles
 Rock Art (Transformations)

7.G.4: Know and understand the Pythagorean theorem and its converse. Apply the theorem to the solution of problems, including using it to find the length of the missing side of a right triangle, and perimeter, area, and volume problems.

 Circles
 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Surface and Lateral Areas of Pyramids and Cones

7.G.6: Understand and use coordinate graphs to plot simple figures; determine lengths and areas related to them; and determine their image under translations, reflections, and rotations (e.g., predict how tessellations transform under translations, reflections, and rotations).

 Dilations

7.M: Measurement

7.M.1: Select, convert (between systems of measurement), and use appropriate units of measurement or scale.

 Unit Conversions

7.M.2: Demonstrate an understanding of the concepts and apply formulas and procedures for determining measures, including those of area and perimeter/circumference of parallelograms, trapezoids, and circles. Given the formulas, determine the surface area and volume of rectangular prisms and cylinders.

 Area of Parallelograms
 Area of Triangles
 Circumference and Area of Circles
 Perimeter and Area of Rectangles
 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders

7.M.3: Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity; use models, graphs, and formulas to solve simple problems involving rates (e.g., velocity and density); check the units of the solutions; use dimensional analysis to check the reasonableness of the answer.

 Household Energy Usage

7.M.5: Use ratio and proportion, including scale factors, in the solution of problems.

 Beam to Moon (Ratios and Proportions)
 Dilations
 Percents and Proportions
 Proportions and Common Multipliers
 Similar Figures

7.DASP: Data Analysis, Statistics, and Probability

7.DASP.1: Find, describe, and interpret appropriate measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

7.DASP.2: Select, create, interpret, and use various tabular and graphical representations of data (e.g., circle graphs, Venn diagrams, stem-and-leaf plots, histograms, tables, and charts).

 Compound Inequalities
 Distance-Time Graphs
 Graphing Skills
 Histograms
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

7.DASP.3: Describe the characteristics and limitations of a data sample. Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling).

 Describing Data Using Statistics
 Polling: City
 Polling: Neighborhood
 Populations and Samples
 Reaction Time 2 (Graphs and Statistics)

7.DASP.4: Use tree diagrams, tables, organized lists, and area models to compute probabilities for simple compound events (e.g., multiple coin tosses or rolls of dice).

 Permutations and Combinations

7.DASP.5: Understand that the probability of either of two disjoint events occurring is the sum of the two individual probabilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.

 Independent and Dependent Events

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.