Course Information
BECK INTERNATIONAL ACADEMY
Syllabus
BECK VISION STATEMENT :
Our vision statement is to provide a consistent and focused faculty, teaching curriculum to a motivated student body to prepare them to be productive citizens of our global community.
Instructor:Kimrey Smith
Room: 623
Planning Times: 1:40-3:15
E-Mail: kimreysmith@greenville.k12.sc.us
School Telephone: (864) 355-1450
SYLLABUS - MATH 6 and 6/7
Textbook
South Carolina Middle School Math Solution Course 1 - Carnegie Learning for Math 6
South Carolina Middle School Math Solution Accelerated Grade 6 - Carnegie Learning for Math 6/7
MATHia student software
Course Description for Math 6:
In Math 6, SCCCR Mathematics Standards focus on four critical areas: (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) developing an understanding of statistical thinking. For a complete understanding of the essential knowledge and skills in mathematics, read the SCCCR Mathematics Standards in their entirety; the seven process standards will be incorporated throughout this course.
Priority Learning Standards for Math 6:
Investigate and translate among multiple representations of rational numbers (fractions, decimal numbers, percentages). Fractions should be limited to those with denominators of 2, 3, 4, 5, 8, 10, and 100.
Understand that the positive and negative representations of a number are opposites in direction and value. Use integers to represent quantities in real-world situations and explain the meaning of zero in each situation.
4 Apply mathematical properties (e.g., commutative, associative, distributive) to justify that two expressions are equivalent.
Investigate multiple representations of relationships in real-world and mathematical situations.
Extend knowledge of inequalities used to compare numerical expressions to include algebraic expressions in real-world and mathematical situations.
Write and solve one-step linear equations in one variable involving non-negative rational numbers for real-world and mathematical situations.
Apply the concepts of ratios and rates to solve real-world and mathematical problems.
Apply the concepts of polygons and the coordinate plane to real-world and mathematical situations.
Unfold three-dimensional figures into two-dimensional rectangles and triangles (nets) to find the surface area and to solve real-world and mathematical problems.
Use visual models (e.g., model by packing) to discover that the formulas for the volume of a right rectangular prism (𝑉𝑉 =𝑙𝑙wℎ,𝑉𝑉 =𝐵𝐵ℎ) are the same for whole or fractional edge lengths. Apply these formulas to solve real-world and mathematical problems.
Use center (mean, median, mode), spread (range, interquartile range, mean absolute value), and shape (symmetrical, skewed left, skewed right) to describe the distribution of a set of data collected to answer a statistical question.
The instructional resources used in this course consist of five modules:
Module 1: Composing and Decomposing
Students build on what they already know about area, number properties, and volume. They will learn to approach a problem by decomposing (taking apart) or composing (putting together) objects and numbers. They will examine the relationships between numbers and shapes, using area models to solve problems. Students will strengthen their skills with fraction operations and use decimal operations to solve volume and surface area problems.
Module 2: Relating Quantities
Students build on their experiences solving addition and multiplication word problems and representing real-world situations on a coordinate plane. They will consider different ways quantities can be related to each other. They will learn about ratios and proportional relationships and reason about these relationships using various models, such as double number lines, ratio tables, and graphs. Students will learn about percents, unit rates, and conversion rates.
Module 3: Determining Unknown Quantities
Students build on their knowledge of numeric expressions, patterns, and operations, which they developed throughout elementary school. Students will use properties of arithmetic and apply them to algebraic expressions. They will investigate equations and graphs and develop strategies to make sense of and reason about unknown quantities in real-world and mathematical problems.
Module 4: Moving Beyond Positive Quantities
Students extend their understanding of numbers and the number line to include negative numbers. They will use a number line to represent, make sense of, and order negative numbers. Students will build on their knowledge of the coordinate plane to construct a four-quadrant graph. Throughout the module, students will analyze and solve a variety of real-world problems.
Module 5: Describing Variability of Quantities
Students build on the data displays that they have used in elementary school, namely line plots, bar graphs, and circle graphs. They will be introduced to the field of statistics, the study of data, and the statistical problem-solving process. Students will calculate numerical summaries to describe a data set. They will also learn what separates mathematical and statistical reasoning—the presence of variability.
Course Description for Math 6/7:
In Math 6/7, SCCCR Mathematics Standards from grades 6 and 7 focus on five critical areas: (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) developing an understanding of statistical thinking. (5) developing an understanding of operations with rational numbers and working with expressions and linear equations;
For a complete understanding of the essential knowledge and skills in mathematics, read the SCCCR Mathematics Standards in their entirety; the seven process standards will be incorporated throughout this course.
Priority Learning Standards for Math 6/7:
Investigate and translate among multiple representations of rational numbers (fractions, decimal numbers, percentages). Fractions should be limited to those with denominators of 2, 3, 4, 5, 8, 10, and 100.
Understand that the positive and negative representations of a number are opposites in direction and value. Use integers to represent quantities in real-world situations and explain the meaning of zero in each situation.
4 Apply mathematical properties (e.g., commutative, associative, distributive) to justify that two expressions are equivalent.
Investigate multiple representations of relationships in real-world and mathematical situations.
Extend knowledge of inequalities used to compare numerical expressions to include algebraic expressions in real-world and mathematical situations.
Write and solve one-step linear equations in one variable involving non-negative rational numbers for real-world and mathematical situations.
Apply the concepts of ratios and rates to solve real-world and mathematical problems.
Apply the concepts of polygons and the coordinate plane to real-world and mathematical situations.
Unfold three-dimensional figures into two-dimensional rectangles and triangles (nets) to find the surface area and to solve real-world and mathematical problems.
Use visual models (e.g., model by packing) to discover that the formulas for the volume of a right rectangular prism (𝑉𝑉 =𝑙𝑙wℎ,𝑉𝑉 =𝐵𝐵ℎ) are the same for whole or fractional edge lengths. Apply these formulas to solve real-world and mathematical problems.
Use center (mean, median, mode), spread (range, interquartile range, mean absolute value), and shape (symmetrical, skewed left, skewed right) to describe the distribution of a set of data collected to answer a statistical question.
Extend prior knowledge to translate among multiple representations of rational numbers (fractions, decimal numbers, percentages). Exclude the conversion of repeating decimal numbers to fractions.
Apply the concepts of all four operations with rational numbers to solve real-world and mathematical problems.
Extend previous understanding of Order of Operations to solve multi-step real-world and mathematical problems involving rational numbers. Include fraction bars as a grouping symbol.
Extend prior knowledge of operations with positive rational numbers to multiply and to divide all rational numbers.
Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.
Compare the numerical measures of center (mean, median, mode) and variability (range, interquartile range, mean absolute deviation) from two random samples to draw inferences about the populations.
Visually compare the centers, spreads, and overlap of two displays of data (i.e., dot plots, histograms, box plots) that are graphed on the same scale and draw inferences about this data.
Extend the concepts of simple events to investigate compound events.
The instructional resources used in this course consist of five modules:
Module 1: Composing and Decomposing
Students build on what they already know about area, number properties, and volume. They will learn to approach a problem by decomposing (taking apart) or composing (putting together) objects and numbers. They will examine the relationships between numbers and shapes, using area models to solve problems. Students will strengthen their skills with fraction operations and use decimal operations to solve volume and surface area problems.
Module 2: Relating Quantities
Students build on their experiences solving addition and multiplication word problems and representing real-world situations on a coordinate plane. They will consider different ways quantities can be related to each other. They will learn about ratios and proportional relationships and reason about these relationships using various models, such as double number lines, ratio tables, and graphs. Students will learn about percents, unit rates, and conversion rates.
Module 3: Moving Beyond Positive Quantities
Students extend their understanding of numbers and the number line to include negative numbers. They will use a number line to represent, make sense of, and order negative numbers. Students will build on their knowledge of the coordinate plane to construct a four-quadrant graph. Throughout the module, students will analyze and solve a variety of real-world problems.
Module 4: Operating with Signed Numbers
Students build on their experiences with signed numbers and absolute value. They will use physical motion, number line models, and two-color counters to develop an understanding of the rules for operating with positive and negative numbers. Students will then solve real-world and mathematical problems involving positive and negative rational numbers.
Module 5: Determining Unknown Quantities
Students build on their knowledge of numeric expressions, patterns, and operations, which they developed throughout elementary school. Students will use properties of arithmetic and apply them to algebraic expressions. They will investigate equations and graphs and develop strategies to make sense of and reason about unknown quantities in real-world and mathematical problems.
Module 6: Reasoning Algebraically
Students build on their experiences with algebraic expressions and one-step equations from earlier in the course. The expressions, equations, and inequalities they encounter will involve a wide range of rational numbers and require two steps rather than one. Students will write equations and inequalities for problem situations, interpret the meanings of quantities in the problems, create tables of values, graph problem situations, and make connections across the representations.
Module 7: Describing Variability of Quantities
Students build on the data displays that they have used in elementary school, namely line plots, bar graphs, and circle graphs. They will be introduced to the field of statistics, the study of data, and the statistical problem-solving process. Students will calculate numerical summaries to describe a data set. They will also learn what separates mathematical and statistical reasoning—the presence of variability.
Module 8: Analyzing Populations and Probabilities
Students will learn the basics of probability and use the theoretical and experimental probability of simple and compound events to make predictions. They will use models and simulations to determine probabilities. Students will build on their experiences with measures of center, the five-number summary, plots of numerical data, and proportional reasoning to draw comparative inferences between two populations.
Required Materials:
Charged Chromebook and earbuds
Math Composition Notebook
Pencils
Paper
Colored Pencils
Glue
Tape
Grading:
Students are assessed using both formative and summative assessments. Daily class assignments, homework grades, tests, projects, group work, and quizzes will be included in these assessments. Benchmark data is used to plan for re-teaching in areas that lack student mastery.
Major: Tests/projects 50% (minimum of 3 major scores per nine weeks); Minor: Quizzes/classwork/homework 50% (minimum of 8 minor scores per nine weeks)
A: 90-100; B 80-89; C 70-79; D 60-69; F 50-59 Please note the following abbreviations in the grade book on backpack: GFA: Grade Floor Applied (Student received below a 50 on assignment.) NHI: Not Handed In (Student has not handed in assignment.)
Late work: Students may still turn in late work if it is in the grading period.
Test Retake: Students may complete test corrections by correcting the wrong answers and showing their work. They will receive at least 75% of their points back.
It is my goal to have all my students be successful in Math class. Assignments and expectations will always be clearly posted, and I am always here to help! All students need to make math a priority and put in the effort- you will use it for the rest of your life!