Standards of
Expected Student Achievement
Eighth Grade
Content Standards
Mathematics
Standards
1999 - 2000
Students will:
•Organize and display data
•Interpret circle graphs
•Make stacked bar, sliding bar, and multiple line graphs
•Display frequency
•Make frequency tables, line plots, and histograms
•Organize data in intervals
•Demonstrate how surveys are conducted and how to interpret them
•Use scatter plots to see if two sets of data are related
•Analyze and interpret stem-and-leaf plots and box-and-whisker plots
•Work with tessellations connecting math and art
•Solve problems involving markup and discount
•Construct a scale drawing
•Write fractions as decimals and vice versa
•Relate fractions, decimals, and percents
•Estimate and use fractions, decimals and percents
•Use proportions to solve problems involving percent
•Use equations to solve problems involving percents
•Write numbers using scientific notation
•Explore ratios, rates, and equal ratios
•Convert units of measure by using dimensional analysis
•Use proportions to solve problems
•Identify similar and congruent polygons
•Use proportional reasoning to find parts of similar polygons
•Find missing measurements using indirect measurement
•Solve problems involving percent of increase or decrease
•Solve problems involving markup and discount
•Graph simple inequalities on a number line
•Graph points on a coordinate plane
•Find coordinates of a point
•Use calculators to explore fractions, decimals and scientific notation
•Determine the prime factorization of numbers
•Use prime factorization to determine the GCF
•Express a rational number as a fraction written in simplest form
•Study the mean of rational numbers
•Use prime factorization to determine the LCM
•Compare and order rational numbers
•Simplify expressions with positive, negative, and zero exponents
•Solve one-step and two-step equations using rational numbers
•Use calculators to explore irrational numbers
•Use Venn diagrams to classify real numbers
•Use addition, subtraction, multiplication and division of rational numbers
•Use proportions to solve problems
•Estimate using fractions, decimals and percents
•Use properties for mental math short cuts
•Find solutions of linear equations
•Graph linear equations
•Graph a linear function using y = mx + b
•Explore y = mx + b
•Find the slope of a line
•Find x- and y- intercepts
•Use slope and the y-intercept to graph lines
•Solve systems of linear equations by graphing
•Write variable expressions for word phrases
•Simplify variable expressions
•Simplify and evaluate expressions with exponents
•Evaluate variable expressions with integers and decimals
•Solve one-step equations and two-step equations
•Translate a word sentence into a mathematical sentence (equation) and solve
•Simplify and solve equations
•Combine like terms and use the distributive property to solve equations
•Solve equations with variables on both sides of the equal sign
•Use patterns and functions to represent and solve problems
•Solve problems appropriate for the grade content by using the strategies: logical reasoning; draw a diagram; too much or too little information; make a table; guess and check; eliminate possibilities; look for a pattern; solve a simple problem; work backwards; use multiple strategies; simulate a problem; write an equation; use a proportion; translate a word sentence into a
mathematical sentence (equation); solve translated equations
•Communicate steps and learnings on projects in written form
•Communicate verbally in pairs, groups and whole class discussions
•Present findings and learnings in groups to class in written and verbal form
•Demonstrate mathematical concepts using manipulatives
•Discuss mathematical concepts as they relate to other curricular areas
•Relate graphs to real-world situations
•Select and construct appropriate graphs that represent real-world situations
•Determine and explain whether mean, median, or mode best represents a set of data
•Use properties for mental math short cuts
•Solve problems that require distinguishing between permutations and combinations
•Develop and apply a variety of strategies to solve problems, with emphasis on multi-step and non-routine problems
•Verify and interpret results with respect to the original problem situation
•Generalize solutions and strategies to new problem situations
•Describe, extend, analyze and create a wide variety of patterns
•Use Pascal's triangle to find probabilities and the number of combinations
•Identify and work with central angles and inscribed angles of a circle
•Find the area and circumference of a circle
•Determine when two triangles are congruent
•Classify quadrilaterals
•Classify triangles by sides and by angles
•Explore polygons and create a tessellation
•Work with angles formed by two lines and a transversal
•Find the square roots of numbers
•Use the Pythagorean Theorem and its converse
•Graph reflections of geometric figures
•Identify lines of symmetry
•Recognize and draw rotations of polygons
•Find missing measures using indirect measurement
•Find the area and circumference of a circle
•Measure and construct angles and shapes
•Find the surface area of spheres and prisms
•Find volume of cubes, spheres, and prisms
•Use formulas to solve problems
•Introduce inequalities
•Graph simple inequalities on a number line
•Write simple inequalities in one variable
•Solve one-step inequalities
•Solve one-step inequalities and graph the solutions
•Write one-step inequalities with one variable
•Solve two-step inequalities
•Solve two-step inequalities and graph the solutions
•Write two-step inequalities with one variable
•Graph points in all four quadrants
•Find coordinates of a point
•Graph translations
•Organize and display data
•Interpret circle graphs
•Make stacked bar graphs, sliding bar graphs, and multiple line graphs
•Display frequency
•Make frequency tables, line plots, and histograms
•Organize data in intervals
•Analyze and interpret stem and leaf plots and box-and-whisker plots
•Determine an appropriate graph for a set of data
•Identify misleading graphs
•Construct circle graphs
•Understand how surveys are conducted and how to interpret them
•Use the counting principle to find the number of possible outcomes
•Use tree diagrams to display outcomes
•Find the number of permutations
•Use factorial notation to find permutations
•Find the number of combinations
•Solve problems that require distinguishing between permutations and combinations
•Find the probability and odds of an event and its complement
•Find the probability of independent and dependent events