Standards for Teaching and Learning

8.NSO-N.1: Explain the properties of and compute with real numbers expressed in a variety of forms.

Percents, Fractions, and Decimals

8.NSO-N.3: Know that the absolute value is the distance of the number from 0; determine the absolute value and additive inverse of real numbers; determine the absolute value of rational numbers.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Adding and Subtracting Integers

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Simplifying Algebraic Expressions I

8.NSO-N.4: Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10), and use them in calculations and problem situations.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

8.NSO-N.5: Define, compare, order, and apply frequently used irrational numbers, such as square root of 2 and pi (e.g., show that if pi is known to be irrational, then 3pi and pi/3 also are irrational).

Circumference and Area of Circles

Operations with Radical Expressions

Square Roots

8.NSO-N.6: Use the laws of exponents for integer exponents (e.g., write 2² x 2³ as 2 x 2 x ... and then as a single power of 2; write 2 to the -3 power as a fraction).

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

8.NSO-N.7: Demonstrate an understanding of the properties of arithmetic operations on rational numbers.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

8.NSO-C.11: Solve problems that involve markups, commissions, profits, and simple and compound interest.

Compound Interest

Percent of Change

8.NSO-C.13: Use the inverse relationship between squaring and finding the square root of a perfect square integer to solve problems.

8.NSO-C.14: Multiply and divide numbers written in scientific notation.

8.NSO-C.15: Select and use appropriate operations — addition, subtraction, multiplication, division, and positive integer exponents — to solve problems with rational numbers, including negative rationals.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

8.NSO-E.16: Estimate and solve problems with square roots; find square roots of perfect squares and approximate the square roots of nonperfect squares by locating them between consecutive integers.

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

8.PRA.1: Use tables and graphs to represent and compare linear growth patterns. In particular, compare rates of change and x- and y-intercepts of different linear patterns.

Function Machines 1 (Functions and Tables)

8.PRA.2: Set up and solve linear equations and inequalities with one or two variables using algebraic methods and graphs.

Compound Inequalities

Linear Inequalities in Two Variables

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

Standard Form of a Line

Systems of Linear Inequalities (Slope-intercept form)

8.PRA.3: Use linear equations to model and analyze problems involving proportional relationships.

8.PRA.4: Identify the slope of a line as a measure of its steepness and as a constant rate of change from its table of values, equation, or graph. Apply the concept of slope to the solution of problems.

Cat and Mouse (Modeling with Linear Systems)

Direct and Inverse Variation

Function Machines 2 (Functions, Tables, and Graphs)

Introduction to Functions

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

8.PRA.6: Distinguish between numerical and algebraic expressions, equations, and inequalities.

Compound Interest

Linear Functions

Linear Inequalities in Two Variables

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Using Algebraic Equations

Using Algebraic Expressions

8.PRA.9: Graph a linear equation using ordered pairs; identify and represent the graphs of linear functions.

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Exponential Functions

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

8.G.2: Demonstrate an understanding of the relationships of angles formed by intersecting lines, including parallel lines cut by a transversal.

8.G.3: Demonstrate an understanding of conditions that indicate two triangles are similar: the corresponding angles are congruent (AAA similarity); the ratios of two pairs of corresponding sides are equal and the included angles are congruent (SAS similarity); ratios of all pairs of corresponding sides are equal (SSS similarity).

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures

8.G.5: Apply spatial reasoning by recognizing and drawing two-dimensional representations of three-dimensional objects (e.g., nets, projections, and perspective drawings of cylinders, prisms, and cones).

Surface and Lateral Areas of Prisms and Cylinders

8.G.6: Find the distance between two points on the coordinate plane using the distance formula; find the midpoint of the line segment; recognize that the distance formula is an application of the Pythagorean theorem.

8.M.2: Understand the concept of surface area and volume; given the formulas, determine the surface area and volume of rectangular prisms, cylinders, and spheres.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

8.M.4: Solve problems about similar figures and scale drawings. Understand that when the lengths of all dimensions of an object are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor and the volume is multiplied by the cube of the scale factor.

Perimeters and Areas of Similar Figures

Similar Figures

8.M.5: Understand and use the fact that when two polygons or circles are similar with scale factor of r, their areas are related by a factor of r2.

Perimeters and Areas of Similar Figures

8.M.6: Use proportions to express relationships between corresponding parts of similar figures.

Beam to Moon (Ratios and Proportions)

8.DASP.1: Revisit measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data and then observe the change in each when an “outlier” is adjoined to the data set or removed from it. Use these notions to compare different sets of data and explain how each can be useful in a different way to summarize social phenomena such as price levels, clothing sizes, and athletic performances.

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

8.DASP.2: Select, create, interpret, and use various tabular and graphical representations of data (e.g., scatterplots, box-and-whisker plots).

Box-and-Whisker Plots

Correlation

Distance-Time Graphs

Least-Squares Best Fit Lines

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

8.DASP.7: Understand the difference between independent and dependent events, and recognize common misconceptions involving probability.

Independent and Dependent Events

Correlation last revised: 5/9/2018