Standards for Teaching and Learning

7.NSO-N.2: Know that in decimal form, rational numbers either terminate or eventually repeat; locate rational numbers on the number line; convert between common repeating decimals and fractions.

Fraction Garden (Comparing Fractions)

Rational Numbers, Opposites, and Absolute Values

7.NSO-N.3: Know the concept of absolute value (e.g., |–3| = |3| = 3).

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

7.NSO-N.5: Differentiate between rational and irrational numbers (i.e., know that irrational numbers cannot be expressed as the quotient of two integers and cannot be represented by terminating or repeating decimals).

Rational Numbers, Opposites, and Absolute Values

7.NSO-N.6: Interpret positive whole-number powers as repeated multiplication and negative powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.

Exponents and Power Rules

Order of Operations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

7.NSO-N.8: Express ratios in several ways (e.g., 3 cups to 5 people; 3:5; 3/5); recognize and find equivalent ratios.

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

7.NSO-N.9: Know the meaning of a square root of a number and its connection to the square whose area is the number.

7.NSO-C.10: Compute with fractions (including simplification of fractions), integers, decimals, and percentages (including those greater than 100 and less than 1) using the four operations and combinations of the four operations.

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

Toy Factory (Set Models of Fractions)

7.NSO-C.11: Demonstrate an understanding of the properties of arithmetic operations on rational numbers (integers, fractions, and terminating decimals); convert terminating decimals into reduced fractions.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

7.NSO-C.13: Calculate the percentage increase and decrease of a quantity.

7.NSO-C.14: Use ratios and proportions in the solution of problems involving unit rates, scale drawings, and reading of maps.

Beam to Moon (Ratios and Proportions)

Dilations

Direct and Inverse Variation

Household Energy Usage

Road Trip (Problem Solving)

7.NSO-C.17: Use the inverse relationships of addition/subtraction and multiplication/division to simplify computations and solve problems (e.g., multiplying by 1/2 or 0.5 is the same as dividing by 2).

Function Machines 3 (Functions and Problem Solving)

Modeling One-Step Equations

Solving Two-Step Equations

7.NSO-C.18: Use the associative, commutative, and distributive properties; properties of the identity and inverse elements (e.g., -7 + 7 = 0; 3/4 x 4/3 = 1) to solve problems.

Adding and Subtracting Integers

Chocomatic (Multiplication, Arrays, and Area)

Square Roots

7.NSO-C.19: Know and apply the Order of Operations rules to expressions involving powers and roots.

7.NSO-E.20: Estimate results of computations with rational numbers; determine estimates to a certain stated accuracy.

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Improper Fractions and Mixed Numbers

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

7.PRA.3: Use the correct order of operations to evaluate expressions (e.g., 3(2x) = 5).

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Order of Operations

Solving Equations on the Number Line

7.PRA.4: Create and use symbolic expressions for linear relationships, and relate them to verbal and graphical representations.

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Solving Equations by Graphing Each Side

Standard Form of a Line

7.PRA.5: Use variables and appropriate operations to write an expression, equation, or inequality that represents a verbal description (e.g., 3 less than a number, 1/2 as large as area A).

Linear Functions

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

7.PRA.6: Write and solve two-step linear equations and check the answers.

Modeling and Solving Two-Step Equations

7.PRA.9: Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse) and operations of rational numbers (distributive, associative, commutative); justify the process used.

Order of Operations

Solving Algebraic Equations II

7.PRA.10: Use algebraic terminology including, but not limited to, variable, equation, term, coefficient, inequality, expression, and constant.

Compound Interest

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Using Algebraic Equations

Using Algebraic Expressions

7.G.2: Demonstrate an understanding of conditions that indicate two geometrical figures are congruent and what congruence means about the relationships between the sides and angles of the two figures.

7.G.4: Know and understand the Pythagorean theorem and its converse. Apply the theorem to the solution of problems, including using it to find the length of the missing side of a right triangle, and perimeter, area, and volume problems.

Circles

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Surface and Lateral Areas of Pyramids and Cones

7.G.6: Understand and use coordinate graphs to plot simple figures; determine lengths and areas related to them; and determine their image under translations, reflections, and rotations (e.g., predict how tessellations transform under translations, reflections, and rotations).

7.M.1: Select, convert (between systems of measurement), and use appropriate units of measurement or scale.

7.M.2: Demonstrate an understanding of the concepts and apply formulas and procedures for determining measures, including those of area and perimeter/circumference of parallelograms, trapezoids, and circles. Given the formulas, determine the surface area and volume of rectangular prisms and cylinders.

Area of Parallelograms

Area of Triangles

Circumference and Area of Circles

Perimeter and Area of Rectangles

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

7.M.3: Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity; use models, graphs, and formulas to solve simple problems involving rates (e.g., velocity and density); check the units of the solutions; use dimensional analysis to check the reasonableness of the answer.

7.M.5: Use ratio and proportion, including scale factors, in the solution of problems.

Beam to Moon (Ratios and Proportions)

Dilations

Percents and Proportions

Proportions and Common Multipliers

Similar Figures

7.DASP.1: Find, describe, and interpret appropriate measures of central tendency (mean, median, and mode) and spread (range) that represent 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)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

7.DASP.2: Select, create, interpret, and use various tabular and graphical representations of data (e.g., circle graphs, Venn diagrams, stem-and-leaf plots, histograms, tables, and charts).

Compound Inequalities

Distance-Time Graphs

Graphing Skills

Histograms

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

7.DASP.3: Describe the characteristics and limitations of a data sample. Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling).

Describing Data Using Statistics

Polling: City

Polling: Neighborhood

Populations and Samples

Reaction Time 2 (Graphs and Statistics)

7.DASP.4: Use tree diagrams, tables, organized lists, and area models to compute probabilities for simple compound events (e.g., multiple coin tosses or rolls of dice).

7.DASP.5: Understand that the probability of either of two disjoint events occurring is the sum of the two individual probabilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.

Independent and Dependent Events

Correlation last revised: 5/9/2018