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