7.1: Students understand and use basic and advanced concepts of number and number systems

7.1.1: Use ratios and proportions to represent relationships

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers
 Road Trip (Problem Solving)

7.1.2: Explain and use percents greater than 100

 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals

7.1.3: Use prime factorization to determine the greatest common factor and least common multiple

 Finding Factors with Area Models

7.1.4: Use integers to represent and compare quantities

 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

7.1.5: Explain the effects of arithmetic operations on fractions, decimals, and integers

 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

7.1.6: Use order of operations (i.e., parentheses and operations) to simplify numeric expressions

 Order of Operations

7.1.7: Add, subtract, multiply, and divide fractions and terminating decimals

 Adding Fractions (Fraction Tiles)
 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

7.1.8: Solve real-world problems using integers, fractions, decimals, and percents

 Multiplying with Decimals
 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Real-Time Histogram
 Sums and Differences with Decimals

7.1.9: Estimate the results of problems involving fractions, decimals, and percents

 Estimating Sums and Differences

7.1.10: Use proportions to solve problems

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Proportions and Common Multipliers

7.2: Student understands and applies geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations

7.2.1: Make observations about relationships between two- and three-dimensional figures; e.g., a cube is made with six squares

 Classifying Quadrilaterals

7.2.2: Classify triangles based on side and angle measurements; i.e., scalene, isosceles, equilateral, acute, obtuse, and right

 Classifying Triangles

7.2.3: Draw and label the components of the coordinate plane; i.e., coordinates, quadrants, origin, x- and y-axes

 City Tour (Coordinates)
 Elevator Operator (Line Graphs)
 Points in the Coordinate Plane

7.2.4: Identify relationships between congruent figures and similar figures

 Similar Figures
 Similarity in Right Triangles

7.2.5: Draw the result of a transformation in the coordinate plane; i.e., translation, reflection, and rotation

 Dilations
 Rock Art (Transformations)
 Rotations, Reflections, and Translations

7.2.6: Build and sketch three-dimensional solids; e.g., using nets, manipulatives

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

7.3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems

7.3.1: Formulate a question; collect, organize, and display data using a bar, line, and circle graph

 Distance-Time Graphs
 Elevator Operator (Line Graphs)
 Graphing Skills
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)

7.3.2: Determine possible outcomes using organized lists, tree diagrams, or Venn diagrams

 Permutations and Combinations

7.3.3: Formulate hypotheses, conduct probability experiments, and draw conclusions from results

 Conditional Statements
 Geometric Probability
 Independent and Dependent Events
 Polling: Neighborhood

7.3.4: Compute probabilities for simple events

 Independent and Dependent Events
 Theoretical and Experimental Probability

7.3.5: Calculate and compare information provided by the mean, median, mode, and range of 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)

7.4: Students use concepts and tools of measurement to describe and quantify the world

7.4.2: Convert unit measurements within the same system (metric and standard) when solving problems

 Unit Conversions

7.4.3: Select the appropriate measure of perimeter, area, surface area, or volume to solve a problem

 Area of Triangles
 Fido's Flower Bed (Perimeter and Area)
 Surface and Lateral Areas of Prisms and Cylinders

7.4.4: Select and use appropriate tools and units to determine the measurements needed for calculating perimeter, circumference, area, surface area, and volume

 Area of Triangles
 Fido's Flower Bed (Perimeter and Area)
 Surface and Lateral Areas of Prisms and Cylinders

7.4.5: Solve problems involving scale factors, using ratio and proportion

 Beam to Moon (Ratios and Proportions)

7.4.7: Use area formulas to determine the surface area of right cylinders

 Surface and Lateral Areas of Prisms and Cylinders

7.4.8: Use formulas to determine the volume of right cylinders

 Surface and Lateral Areas of Prisms and Cylinders

7.4.9: Determine the area of irregularly shaped objects

 Fido's Flower Bed (Perimeter and Area)

7.5: Students use algebraic concepts, functions, patterns, and relationships to solve problems

7.5.1: Create tables and graphs to analyze and describe patterns

 Geometric Sequences
 Graphing Skills
 Polling: City
 Real-Time Histogram

7.5.2: Create algebraic expressions and equations to represent word phrases and sentences

 Absolute Value Equations and Inequalities
 Compound Interest
 Linear Functions
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Simplifying Algebraic Expressions II
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

7.5.3: Apply the order of operations and the commutative, associative, and distributive properties to evaluate numeric expressions

 Order of Operations

7.5.4: Use inverse operations and properties of equality to solve one-step equations and inequalities in one variable

 Solving Algebraic Equations II
 Solving Equations on the Number Line

7.5.5: Write one-step equations and inequalities to represent problem situations

 Linear Inequalities in Two Variables
 Solving Equations on the Number Line

7.5.6: Graph change over time; e.g., growth, distance, population

 Translating and Scaling Functions

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.