Grade 6 AAP & 7/8 Math Curriculum 

Unit 1 : Number Sense

·      Solve practical problems involving operations with rational numbers.

·       Single-step and multistep practical problems, using proportional reasoning.

·       Describe the relationships between the subsets of the real number system.

·       Estimate and determine the two consecutive integers between which a square root lies

·       Determine both the positive and negative square roots of a given perfect square.

·       Identify and describe absolute value of rational numbers.

·       Add, subtract, multiply and divide square roots.

·       Investigate and describe the concept of positive and negative exponents

·       Compare and order numbers greater than zero written in scientific notation;

Unit 2 : Ratios and Proportions

·      The student will represent relationships between quantities using ratios, and will use appropriate notations, such as , a to b, and a : b

·      Relationship between corresponding sides of similar quadrilaterals and triangles.

·      Represent a proportional relationship between two quantities, including those arising from practical situations;

·      Determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table;

·      Determine whether a proportional relationship exists between two quantities; and

·      Make connections between and among representations of a proportional relationship between two quantities using

      verbal descriptions, ratio tables, and graphs.

Unit 3 : Basic Algebra

·       The student will evaluate algebraic expressions for given replacement values of the variables.

·       Simplify algebraic expressions in one variable.

·       Determine whether a given relation is a function

·       Determine the domain and range of a function.

Unit 4 : Linear Equations and Functions

·       The student will solve one-step linear equations in one variable, including practical problems that require the solution

        of a one-step linear equation in one variable.

·       Determine the slope, m, as rate of change in a proportional relationship between two quantities and write an equation

        in the form y = mx to represent the relationship;

·       Graph a line representing a proportional relationship between two quantities given the slope and an ordered pair, or given the

        equation in y = mx­ form where m represents the slope as rate of change;

·       Determine the y-intercept, b, in an additive relationship between two quantities and write an equation in the form y = x + b to

       represent the relationship;

·       Graph a line representing an additive relationship between two quantities given the y-intercept and an ordered pair, or given

       the equation in the form y = x + b, where b represents the y-intercept

·       Make connections between and among representations of a proportional or additive relationship between two quantities using

       verbal descriptions, tables, equations, and graphs. 

·       Recognize and describe the graph of a linear function with a slope that is positive, negative, or zero

·       Identify the slope and y-intercept of a linear function, given a table of values, a graph, or an equation in y = mx + b form

·       Determine the independent and dependent variable, given a practical situation modeled by a linear function

·       Graph a linear function given the equation in y = mx + b form

·       Make connections between and among representations of a linear function using verbal descriptions, tables, equations, and graphs.

·       Multistep linear equations in one variable with the variable on one or both sides of the equation, including practical problems

       that require the solution of a multistep linear equation in one variable.

Unit 5 : Linear Inequalities

·       Represent a practical situation with a linear inequality in one variable

·       solve one-step linear inequalities in one variable, involving addition or subtraction, and graph the solution on a number line.

·       The student will solve one- and two-step linear inequalities in one variable, including practical problems, involving

        addition, subtraction, multiplication, and division, and graph the solution on a number line.

Unit 6 : Geometry

·       Identify the components and graph ordered pairs in a coordinate plane.

·       Relationships among pairs of angles that are vertical angles, adjacent angles, supplementary angles, corresponding angles, and complementary angles to determine the measure of unknown angles.

·       Find the missing angle of the triangle and quadrilateral

·       Given a polygon, apply transformations, to include translations, reflections, and dilations, in the coordinate plane

Unit 7 : Measurement

·       Solve problems, involving circumference and area of a circle

·       Pythagorean Theorem and its applications

·       Solve problems, including practical problems, involving area and perimeter of quadrilaterals

·       Area and perimeter of composite plane figures

·       Find the missing side dimensions of 2-D figures

·       Solve problems and determine the volume and surface area of rectangular prisms and cylinders

·       Solve problems, including practical problems, involving volume and surface area of cones and square-based pyramids

·       Describe how changing one measured attribute affects the volume and surface area of the 3-D figures

·       Nets of 3-D figures

Unit 8 : Probability and Statistics

·       Represent data in a histogram;

·       Make observations and inferences about data represented in a histogram; and

      ·       Compare histograms with the same data represented in stem-and-leaf plots, line plots, and circle graphs.

      ·       Mean, Median ,Mode, Range, Lower and Upper quartile values for the given data set.

·      Determine the effect on measures of center when a single value of a data set is added, removed, or changed.

·      Represent numerical data in box plots;

·      Make observations and inferences about data represented in boxplots

·      Compare and analyze two data sets using boxplots.

·      Compare the probability of independent and dependent events

·      Determine probabilities for independent and dependent events.

·      Represent data in scatterplots;

·      Make observations about data represented in scatterplots; and

      use a drawing to estimate the line of best fit for data represented in a scatterplot.