MA.7.NSO: Number Sense and Operations

MA.7.NSO.1: Rewrite numbers in equivalent forms.

MA.7.NSO.1.1: Know and apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to whole-number exponents and rational number bases.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

MA.7.NSO.1.2: Rewrite rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages to solve mathematical and real-world problems.

Ordering Percents, Fractions, and Decimals Greater Than 1
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

MA.7.NSO.2: Add, subtract, multiply and divide rational numbers.

MA.7.NSO.2.1: Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols, whole-number exponents and absolute value.

Order of Operations

MA.7.NSO.2.2: Add, subtract, multiply and divide rational numbers with procedural fluency.

Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Adding on the Number Line
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

MA.7.NSO.2.3: Solve real-world problems involving any of the four operations with rational numbers.

Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Adding on the Number Line
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

MA.7.AR: Algebraic Reasoning

MA.7.AR.1: Rewrite algebraic expressions in equivalent forms.

MA.7.AR.1.1: Apply properties of operations to add and subtract linear expressions with rational coefficients.

Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

MA.7.AR.1.2: Determine whether two linear expressions are equivalent.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II

MA.7.AR.2: Write and solve equations and inequalities in one variable.

MA.7.AR.2.1: Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically.

Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

MA.7.AR.2.2: Write and solve two-step equations in one variable within a mathematical or real-world context, where all terms are rational numbers.

Modeling and Solving Two-Step Equations
Solving Equations on the Number Line
Solving Two-Step Equations

MA.7.AR.3: Use percentages and proportional reasoning to solve problems.

MA.7.AR.3.1: Apply previous understanding of percentages and ratios to solve multi-step real-world percent problems.

Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals

MA.7.AR.3.2: Apply previous understanding of ratios to solve real-world problems involving proportions.

Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Proportions and Common Multipliers

MA.7.AR.3.3: Solve mathematical and real-world problems involving the conversion of units across different measurement systems.

Unit Conversions

MA.7.AR.4: Analyze and represent two-variable proportional relationships.

MA.7.AR.4.1: Determine whether two quantities have a proportional relationship by examining a table, graph or written description.

Direct and Inverse Variation
Proportions and Common Multipliers

MA.7.AR.4.2: Determine the constant of proportionality within a mathematical or real-world context given a table, graph or written description of a proportional relationship.

Direct and Inverse Variation

MA.7.AR.4.3: Given a mathematical or real-world context, graph proportional relationships from a table, equation or a written description.

Direct and Inverse Variation

MA.7.AR.4.4: Given any representation of a proportional relationship, translate the representation to a written description, table or equation.

Direct and Inverse Variation

MA.7.AR.4.5: Solve real-world problems involving proportional relationships.

Direct and Inverse Variation

MA.7.GR: Geometric Reasoning

MA.7.GR.1: Solve problems involving two-dimensional figures, including circles.

MA.7.GR.1.1: Apply formulas to find the areas of trapezoids, parallelograms and rhombi.

Area of Parallelograms

MA.7.GR.1.2: Solve mathematical or real-world problems involving the area of polygons or composite figures by decomposing them into triangles or quadrilaterals.

Area of Parallelograms

MA.7.GR.1.3: Explore the proportional relationship between circumferences and diameters of circles. Apply a formula for the circumference of a circle to solve mathematical and real-world problems.

Circumference and Area of Circles

MA.7.GR.1.4: Explore and apply a formula to find the area of a circle to solve mathematical and real-world problems.

Circumference and Area of Circles

MA.7.GR.1.5: Solve mathematical and real-world problems involving dimensions and areas of geometric figures, including scale drawings and scale factors.

Area of Parallelograms
Area of Triangles
Circumference and Area of Circles
Measuring Trees
Perimeter and Area of Rectangles
Perimeters and Areas of Similar Figures

MA.7.GR.2: Solve problems involving three-dimensional figures, including right circular cylinders.

MA.7.GR.2.1: Given a mathematical or real-world context, find the surface area of a right circular cylinder using the figure’s net.

Surface and Lateral Areas of Prisms and Cylinders

MA.7.GR.2.3: Solve mathematical and real-world problems involving volume of right circular cylinders.

Prisms and Cylinders

MA.7.DP: Data Analysis and Probability

MA.7.DP.1: Represent and interpret numerical and categorical data.

MA.7.DP.1.1: Determine an appropriate measure of center or measure of variation to summarize numerical data, represented numerically or graphically, taking into consideration the context and any outliers.

Describing Data Using Statistics
Mean, Median, and Mode

MA.7.DP.1.2: Given two numerical or graphical representations of data, use the measure(s) of center and measure(s) of variability to make comparisons, interpret results and draw conclusions about the two populations.

Box-and-Whisker Plots
Populations and Samples

MA.7.DP.1.3: Given categorical data from a random sample, use proportional relationships to make predictions about a population.

Polling: Neighborhood

MA.7.DP.1.4: Use proportional reasoning to construct, display and interpret data in circle graphs.

Graphing Skills

MA.7.DP.1.5: Given a real-world numerical or categorical data set, choose and create an appropriate graphical representation.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

MA.7.DP.2: Develop an understanding of probability. Find and compare experimental and theoretical probabilities.

MA.7.DP.2.1: Determine the sample space for a simple experiment.

Probability Simulations
Theoretical and Experimental Probability

MA.7.DP.2.2: Given the probability of a chance event, interpret the likelihood of it occurring. Compare the probabilities of chance events.

Geometric Probability
Probability Simulations
Theoretical and Experimental Probability

MA.7.DP.2.3: Find the theoretical probability of an event related to a simple experiment.

Geometric Probability
Probability Simulations
Theoretical and Experimental Probability

MA.7.DP.2.4: Use a simulation of a simple experiment to find experimental probabilities and compare them to theoretical probabilities.

Geometric Probability
Probability Simulations
Theoretical and Experimental Probability