Middle M/J Grade 6 Mathematics

Number of Credits
1

Estimated Completion Time
2 Semesters
Description
How do mathematicians think, write, and speak? Find out in Grade 6 Mathematics, where students will experience new ways of solving problems through interactive and engaging activities. With a focus on handson learning and realworld application, students will be exposed to foundational concepts needed for higherlevel math study, including integer operations, equations, and statistics.
Instructional time for Grade 6 Mathematics will emphasize five areas:
 performing all four operations with integers, positive decimals and positive fractions with procedural fluency
 exploring and applying concepts of ratios, rates and percent to solve problems
 creating, interpreting and using expressions and equations
 extending geometric reasoning to plotting points on the coordinate plane, area and volume of geometric figures
 extending understanding of statistical thinking
Access the site links below to view the standards from the Florida Department of Education:
Regular course description:
https://www.cpalms.org/PreviewCourse/Preview/17781
Accelerated course description:
Segment 1
 Multiply and divide positive multidigit numbers with decimals to the thousandths
 Solve multistep realworld problems involving any of the four operations with positive multidigit decimals or positive fractions, including mixed numbers
 Compute products and quotients of positive fractions by positive fractions, including mixed numbers
 Rewrite positive rational numbers in different but equivalent forms including fractions, terminating decimals and percentages
 Define, plot, order and compare rational numbers
 Represent and compare rational numbers that have opposite direction on a number line and explain the meaning of zero within a realworld context
 Find, interpret, and compare the absolute values of rational numbers as the distance from zero on a number line given a mathematical or realworld context
 Define, plot, order and compare rational numbers
 Evaluate positive rational numbers and integers with natural number exponents
 Rewrite the sum of two composite whole numbers having a common factor, as a common factor multiplied by the sum of two whole numbers
 Express composite whole numbers as a product of prime factors with natural number exponents
 Find the greatest common factor and least common multiple of two whole numbers given a mathematical or realworld context
 Add, subtract, multiply, and divide integers
 Translate written descriptions into algebraic expressions and translate algebraic expressions into written descriptions given a mathematical or realworld context
 Evaluate algebraic expressions using substitution and order of operations
 Apply the properties of operations to generate equivalent algebraic expressions with integer coefficients
 Determine which values make the equation or inequality true or false given an equation or inequality and a specified set of integer values
 Write and solve onestep equations in one variable using addition, subtraction, multiplication, and division within a mathematical or realworld context
 Translate a realworld written description into an algebraic inequality and represent the solution on a number line
 Add, subtract, multiply, and divide rational numbers (accelerated)
 Solve realworld problems involving any of the four operations with rational numbers (accelerated)
 Solve mathematical problems using multistep order of operations with rational numbers including grouping symbols, wholenumber exponents, and absolute value (accelerated)
 Apply properties of operations to add and subtract linear expressions with rational coefficients (accelerated)
 Determine whether two linear expressions are equivalent (accelerated)
 Write and solve onestep inequalities in one variable within a mathematical context and represent solutions algebraically or graphically (accelerated)
Segment 2
 Write and interpret ratios to show the relative sizes of two quantities given a realworld context
 Solve mathematical and realworld problems involving ratios, rates and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system
 Determine a rate for a ratio of quantities with different units, and calculate and interpret the corresponding unit rate given a realworld context
 Generate or complete a two or threecolumn table to display equivalent parttopart ratios and parttoparttowhole ratios
 Apply ratio relationships to solve mathematical and realworld problems involving percentages using the relationship between two quantities
 Solve multistep realworld percent problems (accelerated)
 Apply ratios to solve realworld problems involving proportions (accelerated)
 Recognize and formulate a statistical question that would generate numerical data
 Find and interpret mean, median, mode, and range given a numerical data set within a realworld context
 Determine the minimum, the lower quartile, the median, the upper quartile, and the maximum given a box plot within a realworld context and use a summary of the data to describe the spread and distribution of the data
 Create box plots and histograms to represent sets of numerical data within realworld contexts
 Describe and interpret the spread and distribution of the data, including any symmetry, skewness, gaps, clusters, outliers, and the range given a histogram or line plot within a realworld context
 Determine and describe how changes in data values impact measures of center and variation given a realworld scenario
 Determine an appropriate measure of center or measure of variation to summarize numerical data, represented numerically or graphically, taking into consideration the context and any outliers (accelerated)
 Use the measure(s) of center and measure(s) of variability to make comparisons, interpret results, and draw conclusions about two populations given two numerical or graphical representations of data (accelerated)
 Use proportional relationships to make predictions about a population given categorical data from a random sample (accelerated)
 Plot rational number ordered pairs in all four quadrants and on both axes and identify the x or yaxis as the line of reflection when two ordered pairs have an opposite x or ycoordinate
 Find distances between ordered pairs, limited to the same xcoordinate or the same ycoordinate, represented on the coordinate plane
 Solve mathematical and realworld problems by plotting points on a coordinate plane, including finding the perimeter or area of a rectangle
 Derive a formula for the area of a right triangle using a rectangle and apply the formula to find the area of a triangle
 Solve mathematical and realworld problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles
 Apply formulas to find the areas of trapezoids, parallelograms, and rhombi (accelerated)
 Solve mathematical or realworld problems involving the area of polygons or composite figures by decomposing them into triangles or quadrilaterals (accelerated)
 Find the surface area of right rectangular prisms and right rectangular pyramids using the figure’s net given a mathematical or realworld context
 Solve mathematical and realworld problems involving the volume of right rectangular prisms with positive rational number edge lengths
 Determine the sample space for a simple experiment (accelerated)
 Find the theoretical probability of an event related to a simple experiment (accelerated)
 Interpret the likelihood of a chance event occurring and compare the probabilities of chance events (accelerated)
 Find experimental probabilities and compare them to theoretical probabilities (accelerated)
Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. This course will use the stateapproved grading scale. Each course contains a mandatory final exam or culminating project that will be weighted at 20% of the student’s overall grade.***
***Proctored exams can be requested by FLVS at any time and for any reason in an effort to ensure academic integrity. When taking the exam to assess a student’s integrity, the exam must be passed with at least a 59.5% in order to earn credit for the course.
Courses subject to availability.
Pursuant to s. 1002.20, F.S.; A public school student whose parent makes written request to the school principal shall be exempted from the teaching of reproductive health or any disease, including HIV/AIDS, in accordance with the provisions of s. 1003.42(3). Learn more about the process and which courses contain subject matter where an exemption request can be made.