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Elementary Math Curriculum
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Middle School Math Curriculum
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High School Math Curriculum
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Middle School Math Curriculum Overview

The middle school math curriculum is focused on deepening and broadening students’ skills and knowledge in math.  In middle school, students receive instruction at all grade levels in the four major math content strands of number sense, algebra, geometry, and probability and statistics.  Students are given the opportunity to learn each concept, how concepts are interrelated, and to build upon their knowledge in all areas from course to course.

Middle School Instructional Resources
Math 6 Glencoe, Course 2
Math 7 Glencoe, Course 3
Math 8  Glencoe, Algebra I

What students should know and be able to do

6th Grade

Number Sense and Computation and Operation

  • Order and compare integers, fractions, decimals and mixed numbers with <,> and =.
  • Locate and compare positive and negative rational numbers on a number line.
  • Determine the prime factorization of positive integers.
  • Appropriately use calculators and other technologies to solve problems.
  • Apply the correct order of operations including addition, subtraction, multiplication division and grouping symbols to simplify and evaluate numeric expression.
  • Rounding and estimating with integers, decimals and fractions

Algebra

  • Apply arithmetic operations in the correct order to simplify and evaluate numeric expressions in real world and mathematical problems.
  • Understand patterns relations and functions

Measurement

  • Make calculations of time, area, and volume within standard measuring systems.
  • Solve problems requiring conversion within the U.S. customary system and metric system.
  • Find area and perimeter of: Rectangles, squares, triangles, and parallograms by measuring, using a grid or using a formula.
  • Measure, identify and draw perpendicular and parallel lines, angles and rectangles by using appropriate tools such as straight edge , ruler,  compass, protractor or software.

Spatial Sense

  • Recognize the relationship between different representations of two and three dimensional shapes.

Geometry Standard

  • Identify a variety of simple geometric figures by name, calculate various quantities with them.
  • Use facts about angles and relationships of angles: complementary, supplementary and angle within triangles.
  • Classify triangles as equilateral, isosceles, scalene, right, acute and obtuse.

Patterns and Functions

  • Coordinate System graphing, Plotted pairs, four quadrants
  • Predict position of transformations.
  • Identify symmetries of three dimensional shapes.
  • Create models of 3d shapes from 2d representations.

Data and Statistics Standard

  • Represent data and use various measures associated with data to draw conclusions and identify trends.
  • Understand the differences and appropriate use of mean, median and mode.
  • Find the median and possible outliers.
  • Collect, organize and represent categorical and numerical data with tables and bar graphs.

Probability Standard

  • Generate and display data in graphs and tables to estimate experimental probabilities.
  • Represent all possible outcomes for a probability problem with tables, grids and tree diagrams to calculate probabilities and draw conclusions from the results.

7th Grade

Number Sense Computation and Operation

  • Represent rational numbers as fractions, mixed number, decimals or percents and convert among various forms as appropriate.
  • Calculate the percentage of increase and decrease of a quantity in real-world and mathematical problems.
  • Convert among fractions, decimals and percents and use these representations for estimations and computations in real-world and mathematical problems.
  • Use scientific notation with positive powers of 10, with appropriate treatment of significant digits
  • Understand the meanings of the basic operations, including the use of integer exponents and square roots, and how the operations relate to one another.
  • Use the inverse relationship between extracting square roots and squaring positive integers to solve real-world and mathematical problems.
  • Understand and compute positive integer powers of nonnegative integers and express examples as repeated multiplication such as 3 ^ 4 = 3 x 3 x 3 x 3 = 81.

Algebra

  • Solve simple formulas with up to three variables, when the values of two of the variables are given.
  • Use the facts that the sum of a number and its opposite is zero and the product of a number and its reciprocal is one to generate equivalent algebraic expressions.

Patterns and Functions

  • Demonstrate an understanding of rate of change graphically and numerically.
  • Plot points on the graph of a linear function and identify the slope or rate of change.

Measurement Standard

  • Make calculations of time, length, area and volume within standard measuring systems using good judgment in choice of units.
  • Calculate the area and perimeter of a sector of a circle given its angle and radius.
  • Calculate the radius, diameter, circumference and area of a circle given any one of these.
  • Use ratios and proportions to interpret map scales and scale drawings.
  • Classify quadrilaterals as squares, rectangles, rhombi, parallelograms, kites, trapezoids or none of these.

Spatial Sense Standard

  • Recognize the relationship between different representations of two- and three-dimensional shapes.

Geometry Standard

  • Recognize a view of a three-dimensional shape, given a view from a different orientation.
  • Use visual representations of transformations such as reflections, rotations, translations and change of scale in one and two dimensions to solve real-world and mathematical problems.

Data and Statistics Standard

  • Represent data and use various measures associated with data to draw conclusions.
  • Construct and analyze simple scatter plots.
  • Understand the meaning of, and be able to compute minimum, maximum, range, median, mean and mode of a data set.

Probability Standard

  • Calculate and express probabilities numerically and apply probability concepts to solve real-world and mathematical problems.
  • Use a variety of experiments to explore the relationship between experimental and theoretical probabilities.
  • Express probabilities as percentages, fractions, proportions and decimals.

8th Grade

Number Sense Computation and Operation

  • Use scientific notation with positive and negative powers of 10, with appropriate treatment of significant digits, to solve real-world and mathematical problems.
  • Represent and compare rational and irrational numbers symbolically and on a number line.
  • Understand the meanings of the basic operations, including the use of integer exponents and nth roots, and how the operations relate to one another.
  • Find integer approximations of square roots of positive integers without a calculator.
  • Multiply and divide expressions involving exponents with a common base.
  • Use calculator approximations of irrational and rational numbers in multi-step problems
  • Classify Numbers as rational or irrational.

Patterns and Functions Standard

  • Use graphs and tables to solve real-world and mathematical problems.
  • Recognize when a list of numbers forms an arithmetic or geometric progression and be able to determine subsequent terms in the progression.
  • Generate a table of values from a formula and graph the resulting ordered pairs on a grid.
  • Use simple formulas with more than one variable to solve real-world and mathematical problems.

Algebra

  • Demonstrate the ability to manipulate an equation by applying arithmetic operations to both sides to maintain equivalence.
  • Apply the correct order of operations including addition, subtraction, multiplication, division, grouping symbols and powers, to simplify and evaluate algebraic expressions.

Measurement Standard

  • Make calculations of time, length, area and volume within and between standard measuring systems using good judgment in choice of units.
  • Use arithmetic to solve simple real-world and mathematical problems involving mixed units such as minutes and hours in elapsed time, degrees and minutes in latitude and longitude and feet and inches in distance.
  • Use proportions and percents with one unknown quantity to solve real-world and mathematical problems.

Spatial Sense Standard

  • Recognize the relationship between different representations of two- and three-dimensional shapes.
  • Understand the effect of various transformations.
  • Predict the position and orientation of simple three-dimensional geometric shapes under transformations such as reflections, rotations and translations.
  • Know how to find the volumes of cubes, prisms, spheres and cylinders.
  • Know how to find the surface areas of cubes, prisms and cylinders.
  • Calculate perimeter and area of two-dimensional figures obtained by putting together triangles, parallelograms, and sectors of circles to solve real-world and mathematical problems.

Geometry Standard

  • Use basic geometric principles and proportional reasoning to solve real-world and mathematical problems.

Data and Statistics Standards

  • Represent data and use various measures associated with data to draw conclusions and identify trends
  • Compute the quartiles of a data set.
  • Construct and analyze histograms, circle graphs, stem-and-leaf plots and box-and-whisker plots.

Probability Standard

  • Understand that if p is the probability of an event occurring, then 1 – p is the probability of the event not occurring.
  • Convert between odds and probabilities.
  • Use a variety of experiments to explore the relationship between experimental and theoretical probabilities and the effect of sample size on this relationship.






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