MA.7.1: Students will: demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems; demonstrate meanings of operations and how they relate to one another; and compute fluently and make reasonable estimates through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.7.1.1: compare and order integers, decimals, and fractions using symbols (<,>,=) manipulatives and graphing on a number line.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Real Number Line - Activity A

MA.7.1.2: find powers, squares, and square roots using manipulatives, models, calculators, tables and mental math.

Square Roots

MA.7.1.3: define absolute value and determine its effect on a number or expression.

Comparing and Ordering Integers
Real Number Line - Activity A

MA.7.1.5: perform operations with integers (e.g., addition, subtraction, multiplication, division).

Adding Real Numbers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Order of Operations

MA.7.1.7: solve application problems with whole numbers, decimals, fractions and percents.

Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents and Proportions

MA.7.1.8: use appropriate estimation strategies in problem situations including evaluating the reasonableness of a solution.

Estimating Population Size
Estimating Sums and Differences

MA.7.2: Students will: demonstrate understanding of patterns, relations, and functions; represent and analyze mathematical situations and structures using algebraic symbols; use mathematical models to represent and understand quantitative relationships; and analyze change in various contexts through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.7.2.1: find missing elements in a variety of arithmetic and geometric patterns including algebraic sequences and series.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

MA.7.2.2: simplify and evaluate numerical and algebraic expressions with whole numbers, integers, absolute value and exponents using the order of operations and exponential rules.

Exponents and Power Rules
Order of Operations
Real Number Line - Activity A
Simplifying Radicals - Activity A

MA.7.2.3: add, subtract, multiply and divide monomials with no more than two variables and no exponent greater than two.

Simplifying Radicals - Activity A

MA.7.2.5: input data into a spreadsheet to create input/output function tables.

Linear Functions
Using Tables, Rules and Graphs

MA.7.2.6: use ratios and proportions to represent and solve application problems.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Proportions and Common Multipliers

MA.7.2.7: write and evaluate complex algebraic expressions for word phrases.

Using Algebraic Equations
Using Algebraic Expressions

MA.7.2.9: solve one-step linear equations containing whole numbers, fractions, decimals and integers with integer solutions.

Modeling One-Step Equations - Activity A

MA.7.2.10: solve basic inequalities using inverse operations and graph solutions.

Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

MA.7.2.11: plot lines within the Cartesian coordinate plane from a table of values.

Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs

MA.7.2.12: determine the slope of a line from its graphical representation.

Slope - Activity B

MA.7.3: Students will: analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships; specify locations and describe spatial relationships using coordinate geometry and other representational systems; apply transformations and use symmetry to analyze mathematical situations; and solve problems using visualization, spatial reasoning, and geometric modeling through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.7.3.1: identify and construct angle-pairs (e.g., adjacent, complementary, supplementary, vertical).

Investigating Angle Theorems - Activity A

MA.7.3.2: use a formula to determine the sum of the measures of the interior angles of a polygon.

Polygon Angle Sum - Activity A
Triangle Angle Sum - Activity A

MA.7.3.3: use 2-dimensional representations of 3-dimensional objects to visualize and solve problems.

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

MA.7.3.5: apply and demonstrate line symmetry.

Holiday Snowflake Designer

MA.7.3.6: apply transformations (rotations, reflections, translations) to plane figures using graph paper.

Reflections
Rotations, Reflections and Translations

MA.7.3.7: solve ratio and proportion problems including scale drawings and similar polygons.

Similar Figures - Activity A

MA.7.4: Students will: demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurement; and apply appropriate techniques, tools and formulas to determine measurements through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.7.4.1: use and apply formulas in problem solving situations involving perimeter, circumference, area, surface area, distance and temperature (Celsius, Fahrenheit).

Circle: Circumference and Area
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Perimeter, Circumference, and Area - Activity B
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Rectangle: Perimeter and Area

MA.7.4.2: use the concept of volume for prisms, pyramids, and cylinders as the relationship between the area of the base and height.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

MA.7.4.3: use the Pythagorean Theorem to find the length of any side of a right triangle.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

MA.7.5: Students will: formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them; select and use appropriate statistical methods to analyze data; develop and evaluate inferences and predictions that are based on models; and apply and demonstrate an understanding of basic concepts of probability through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.7.5.1: determine experimental and theoretical probability of an event using appropriate technology.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

MA.7.5.2: construct sample spaces by listing, tree diagrams, and frequency distribution tables to determine combinations and permutations.

Permutations and Combinations
Populations and Samples

MA.7.5.3: collect, organize, graphically represent, and interpret data displays including: frequency distributions, line-plots, scatter plots, box and whiskers, and multiple-line graphs.

Box-and-Whisker Plots
Correlation
Populations and Samples
Scatter Plots - Activity A
Solving Using Trend Lines

MA.7.5.4: solve application problems involving measures of central tendency (mean, median, mode) and dispersion (range) from data, graphs, tables, and experiments using appropriate technology.

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode