Benchmarks for Excellent Student Thinking Standards
MA.8.NSO.1.1: Extend previous understanding of rational numbers to define irrational numbers within the real number system. Locate an approximate value of a numerical expression involving irrational numbers on a number line.
Circumference and Area of Circles
Square Roots
MA.8.NSO.1.2: Plot, order and compare rational and irrational numbers, represented in various forms.
Comparing and Ordering Decimals
Ordering Percents, Fractions, and Decimals Greater Than 1
Rational Numbers, Opposites, and Absolute Values
MA.8.NSO.1.3: Extend previous understanding of the Laws of Exponents to include integer exponents. Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to integer exponents and rational number bases, with procedural fluency.
Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
MA.8.NSO.1.4: Express numbers in scientific notation to represent and approximate very large or very small quantities. Determine how many times larger or smaller one number is compared to a second number.
Number Systems
Unit Conversions 2 - Scientific Notation and Significant Digits
MA.8.NSO.1.5: Add, subtract, multiply and divide numbers expressed in scientific notation with procedural fluency.
Unit Conversions 2 - Scientific Notation and Significant Digits
MA.8.NSO.1.6: Solve real-world problems involving operations with numbers expressed in scientific notation.
Unit Conversions 2 - Scientific Notation and Significant Digits
MA.8.NSO.1.7: Solve multi-step mathematical and real-world problems involving the order of operations with rational numbers including exponents and radicals.
MA.8.AR.1.1: Apply the Laws of Exponents to generate equivalent algebraic expressions, limited to integer exponents and monomial bases.
Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
MA.8.AR.1.2: Apply properties of operations to multiply two linear expressions with rational coefficients.
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
MA.8.AR.1.3: Rewrite the sum of two algebraic expressions having a common monomial factor as a common factor multiplied by the sum of two algebraic expressions.
Equivalent Algebraic Expressions II
MA.8.AR.2.1: Solve multi-step linear equations in one variable, with rational number coefficients. Include equations with variables on both sides.
Modeling and Solving Two-Step Equations
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Two-Step Equations
MA.8.AR.2.3: Given an equation in the form of x² = p and x³ = q, where p is a whole number and q is an integer, determine the real solutions.
MA.8.AR.3.1: Determine if a linear relationship is also a proportional relationship.
MA.8.AR.3.2: Given a table, graph or written description of a linear relationship, determine the slope.
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line
MA.8.AR.3.3: Given a table, graph or written description of a linear relationship, write an equation in slope-intercept form.
Slope-Intercept Form of a Line
MA.8.AR.3.4: Given a mathematical or real-world context, graph a two-variable linear equation from a written description, a table or an equation in slope-intercept form.
Slope-Intercept Form of a Line
MA.8.AR.3.5: Given a real-world context, determine and interpret the slope and y-intercept of a two-variable linear equation from a written description, a table, a graph or an equation in slope-intercept form.
Cat and Mouse (Modeling with Linear Systems)
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Slope-Intercept Form of a Line
MA.8.AR.4.1: Given a system of two linear equations and a specified set of possible solutions, determine which ordered pairs satisfy the system of linear equations.
Solving Linear Systems (Standard Form)
MA.8.AR.4.2: Given a system of two linear equations represented graphically on the same coordinate plane, determine whether there is one solution, no solution or infinitely many solutions.
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
MA.8.AR.4.3: Given a mathematical or real-world context, solve systems of two linear equations by graphing.
Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
MA.8.F.1.1: Given a set of ordered pairs, a table, a graph or mapping diagram, determine whether the relationship is a function. Identify the domain and range of the relation.
Introduction to Functions
Linear Functions
MA.8.F.1.2: Given a function defined by a graph or an equation, determine whether the function is a linear function. Given an input-output table, determine whether it could represent a linear function.
Introduction to Functions
Linear Functions
MA.8.F.1.3: Analyze a real-world written description or graphical representation of a functional relationship between two quantities and identify where the function is increasing, decreasing or constant.
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Graphs of Polynomial Functions
Linear Functions
MA.8.GR.1.1: Apply the Pythagorean Theorem to solve mathematical and real-world problems involving unknown side lengths in right triangles.
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
MA.8.GR.1.2: Apply the Pythagorean Theorem to solve mathematical and real-world problems involving the distance between two points in a coordinate plane.
MA.8.GR.1.3: Use the Triangle Inequality Theorem to determine if a triangle can be formed from a given set of sides. Use the converse of the Pythagorean Theorem to determine if a right triangle can be formed from a given set of sides.
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Triangle Inequalities
MA.8.GR.1.4: Solve mathematical problems involving the relationships between supplementary, complementary, vertical or adjacent angles.
MA.8.GR.1.5: Solve problems involving the relationships of interior and exterior angles of a triangle.
MA.8.GR.1.6: Develop and use formulas for the sums of the interior angles of regular polygons by decomposing them into triangles.
MA.8.GR.2.1: Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship.
MA.8.GR.2.2: Given a preimage and image generated by a single dilation, identify the scale factor that describes the relationship.
MA.8.GR.2.3: Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane.
Dilations
Rotations, Reflections, and Translations
Translations
MA.8.GR.2.4: Solve mathematical and real-world problems involving proportional relationships between similar triangles.
Similar Figures
Similarity in Right Triangles
MA.8.DP.1.1: Given a set of real-world bivariate numerical data, construct a scatter plot or a line graph as appropriate for the context.
Correlation
Trends in Scatter Plots
MA.8.DP.1.2: Given a scatter plot within a real-world context, describe patterns of association.
Correlation
Solving Using Trend Lines
Trends in Scatter Plots
MA.8.DP.1.3: Given a scatter plot with a linear association, informally fit a straight line.
Correlation
Solving Using Trend Lines
Trends in Scatter Plots
MA.8.DP.2.1: Determine the sample space for a repeated experiment.
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
MA.8.DP.2.2: Find the theoretical probability of an event related to a repeated experiment.
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
MA.8.DP.2.3: Solve real-world problems involving probabilities related to single or repeated experiments, including making predictions based on theoretical probability.
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
Correlation last revised: 9/15/2020