7.A: Algebra

7.A.1: Use procedures to transform algebraic expressions.

7.A.1.1: Students are able to write and evaluate algebraic expressions using the set of whole numbers.

7.A.1.1.a: Use replacement values for variables.

Solving Equations on the Number Line

7.A.1.1.b: Use order of operations.

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

7.A.1.2: Students are able to identify associative, commutative, distributive, and identity properties involving algebraic expressions.

7.A.1.2.a: Use the associative, commutative, distributive, and identity properties.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II

7.A.3: Interpret and develop mathematical models.

7.A.3.1: Students are able to identify and graph ordered pairs on a coordinate plane and inequalities on a number line.

7.A.3.1.a: Quadrants I-IV

Absolute Value Equations and Inequalities
City Tour (Coordinates)
Comparing and Ordering Decimals
Compound Inequalities
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points in the Coordinate Plane
Points, Lines, and Equations
Slope
Solving Linear Inequalities in One Variable

7.A.4: Describe and use properties and behaviors of relations, functions and inverses.

7.A.4.1: Students are able to recognize one-step patterns using tables, graphs, and models and create one-step algebraic expressions representing the pattern.

7.A.4.1.a: Identify arithmetic and geometric sequences.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

7.A.4.1.b: Extend arithmetic and geometric sequences.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

7.G: Geometry

7.G.1: Use deductive and inductive reasoning to recognize and apply properties of geometric figures.

7.G.1.1: Students are able to identify, describe, and classify polygons having up to 10 sides.

7.G.1.1.a: Relationships among triangles.

Similarity in Right Triangles
Triangle Angle Sum

7.G.1.1.b: Relationships among quadrilaterals.

Classifying Quadrilaterals
Special Parallelograms

7.G.1.1.c: Sketch two-dimensional figures.

Classifying Quadrilaterals

7.G.1.2: Students are able to identify and describe elements of geometric figures.

7.G.1.2.c: Bisector

Concurrent Lines, Medians, and Altitudes
Segment and Angle Bisectors

7.G.2: Use properties of geometric figures to solve problems from a variety of perspectives.

7.G.2.1: Students are able to demonstrate ways that shapes can be transformed.

7.G.2.1.a: Translation

Absolute Value with Linear Functions
Rock Art (Transformations)
Rotations, Reflections, and Translations

7.G.2.1.b: Rotation

Rock Art (Transformations)
Rotations, Reflections, and Translations
Similar Figures

7.G.2.1.c: Reflection

Absolute Value with Linear Functions
Holiday Snowflake Designer
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations

7.M: Measurement

7.M.1: Apply measurement concepts in practical applications.

7.M.1.1: Students are able to select, use, and convert appropriate units of measurement for a situation including capacity and angle measurement.

7.M.1.1.b: Measure length, capacity, and mass.

Beam to Moon (Ratios and Proportions)
Measuring Trees

7.M.1.1.c: Convert within the Metric system (kilo- thru milli-).

Unit Conversions

7.M.1.1.d: Convert within the U.S. Customary system (weight, length, capacity).

Unit Conversions

7.M.1.2: Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements).

7.M.1.2.a: Use appropriate unit of measure.

Area of Triangles

7.M.1.2.b: Estimate the area of irregular shapes.

Fido's Flower Bed (Perimeter and Area)

7.N: Number Sense

7.N.1: Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers.

7.N.1.1: Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions.

7.N.1.1.a: Describe and compare numbers using ratios including appropriate notation, e.g., a:b, a/b, a to b.

Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios

7.N.1.1.b: Scientific notation, calculator notation.

Unit Conversions

7.N.1.1.c: Include percents less than one and greater than 100.

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

7.N.1.1.d: Identify, represent, compare, and order rational numbers and represent them on a number line.

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

7.N.2: Apply number operations with real numbers and other number systems.

7.N.2.1: Students are able to add, subtract, multiply, and divide integers and positive fractions.

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

7.N.3: Develop conjectures, predictions, or estimations to solve problems and verify or justify the results.

7.N.3.1: Students are able to use various strategies to solve one- and two-step problems involving positive fractions and integers.

7.N.3.1.c: Explain strategies and justify answers.

Fraction Garden (Comparing Fractions)
Toy Factory (Set Models of Fractions)

7.S: Statistics and Probability

7.S.1: Use statistical models to gather, analyze, and display data to draw conclusions.

7.S.1.1: Students are able to find 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)
Sight vs. Sound Reactions
Stem-and-Leaf Plots

7.S.1.2: Students are able to display data, using frequency tables, line plots, stem-and-leaf plots, and make predictions from data displayed in a graph.

Distance-Time Graphs
Elevator Operator (Line Graphs)
Graphing Skills
Histograms
Mean, Median, and Mode
Prairie Ecosystem
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

7.S.2: Apply the concepts of probability to predict events/outcomes and solve problems.

7.S.2.1: Students are able, given a sample space, to find the probability of a specific outcome.

7.S.2.1.a: Simple probability.

Theoretical and Experimental Probability

7.S.2.1.b: Express probability as a ratio, decimal, or percent.

Estimating Population Size
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability