MA.7.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

MA.7.1.1: Solve problems using fractions, decimals, and percents

Estimating Sums and Differences
Fraction Garden (Comparing Fractions)
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
Toy Factory (Set Models of Fractions)

MA.7.1.2: Identify situations that require the use of large numbers and represent them using scientific notation

Unit Conversions

MA.7.1.3: Describe and solve situations represented by integers and absolute value

Absolute Value with Linear Functions
Adding and Subtracting Integers
Integers, Opposites, and Absolute Values

MA.7.2: Understand the meaning of operations and how they relate to each other

MA.7.2.1: Describe situations involving arithmetic operations with integers

Adding on the Number Line

MA.7.2.2: Apply the order of operations when calculating with rational number, excluding exponents

Order of Operations

MA.7.2.3: Apply the inverse relationship between addition and subtraction, and between multiplication and division, to solve one-step equations

Solving Algebraic Equations II
Solving Equations on the Number Line

MA.7.3: Use computational tools and strategies fluently and, when appropriate, use estimation

MA.7.3.1: Add, subtract, multiply, and divide integers

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials

MA.7.4: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

MA.7.4.1: Determine how measurements, such as perimeter and area, of common shapes (e.g., squares, rectangles, parallelograms, triangles, circles) are affected when one of the attributes is changed in some way

Perimeter and Area of Rectangles

MA.7.5: Analyze properties of objects and relationships among the properties

MA.7.5.1: Apply the concept of similarity to solve problems

Circles
Similarity in Right Triangles

MA.7.6: Use transformations and symmetry to analyze mathematical situations

MA.7.6.1: Describe changes in size between a given figure and its dilation

Dilations

MA.7.8: Select and use different representational systems, including coordinate geometry

MA.7.8.1: Use coordinate geometry to determine the change in size of a figure that is dilated by a scale factor

Dilations

MA.7.9: Understand various types of patterns and functional relationships

MA.7.9.1: Create a pattern or function for a rule given in symbolic form

Function Machines 1 (Functions and Tables)

MA.7.9.2: Describe multi-step functions using words and symbols when given a table of “input” and “output” values and use the rule for the function to determine other input and output values

Function Machines 1 (Functions and Tables)

MA.7.10: Use symbolic forms to represent, model, and analyze mathematical situations

MA.7.10.1: Analyze the relationship among tables, graphs (including graphing technology when available), and equations of linear functions, paying particular attention to the meaning of intercept and slope

Absolute Value with Linear Functions
Arithmetic Sequences
Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

MA.7.10.2: Use symbolic algebra to represent situations involving linear relationships

Compound Interest

MA.7.10.3: Solves linear equations and inequalities with one variable using algebraic methods, manipulatives, or models

Compound Inequalities
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable

MA.7.11: Pose questions and collect, organize, and represent data to answer those questions

MA.7.11.1: Design a study, collect data, and select the appropriate representation (line graph, bar graph, circle graph, histogram, stem and leaf plot, box and whisker plot) to display the data

Describing Data Using Statistics
Graphing Skills
Histograms
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots
Time Estimation

MA.7.12: Interpret data using methods of exploratory data analysis

MA.7.12.1: Relate the spread of a data set to a box-and-whisker plot

Box-and-Whisker Plots
Describing Data Using Statistics
Reaction Time 2 (Graphs and Statistics)

MA.7.13: Develop and evaluate inferences, predictions, and arguments that are based on data

MA.7.13.1: Formulate new questions that arise from previous conclusions or conjectures and plan a new study to answer them

Correlation
Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram

MA.7.14: Understand and apply basic notions of chance and probability

MA.7.14.1: Relate theoretical probability to experimental results

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability