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