Maths Grade 7 Unit 3
Victorio Galindo
5th Grade Math focuses on three key advancements from previous years: (1) developing fluency with addition and subtraction of fractions, and developing understanding of multiplication and division of fractions in certain cases; (2) integrating decimal fractions into the place value system and developing fluency with operations with whole numbers and decimals to hundredths; and (3) developing understanding of volume.
Students continue their work with multi-digit multiplication and division and the base-ten system in order to finalize fluency with multi-digit multiplication and extend division to two-digit divisors.
Students extend their computational work to include fractions and decimals, adding and subtracting numbers in those forms in this unit before moving to multiplication and division in subsequent units.
Students deepen their understanding of fraction multiplication and begin to explore to fraction division (and fractions as division), as well as apply this new understanding to the context of line plots.
Students use their knowledge of multiplication and division with whole numbers and with fractions to multiply and divide with decimals, and apply this understanding to the context of measurement conversion.
In 4th grade, students learned that in whole numbers a digit in one place represents ten times what is represented in the place to its right. In 5th Grade Unit 1, Place Value with Decimals, students extend this understanding in two ways. First, they see that a similar pattern emerges with place values to the left of a digit; namely, that a digit in one place represents 1/10 of what it represents in the place to its left. Secondly, students extend these understandings of a digit and the places to the left and to the right to decimal numbers.
In Unit 2, Multiplication and Division of Whole Numbers, students build on their work in 4th grade to establish fluency with up to four-digit by two-digit and three-digit by three-digit multiplication, as well as extend their understanding of division from one-digit divisors in 4th grade to two-digit divisors in 5th grade.
In Unit 3, Shapes and Volume, students explore two-dimensional shapes by classifying them in a hierarchy according to their properties. Students also explore three-dimensional shapes, filling rectangular prisms with unit cubes to find their volume. Then, seeing the layered nature of volume and its relationship to the formula for the area of a rectangle, students apply their recently acquired fluency with multi-digit multiplication to calculate the volume of a rectangular prism, and they use their 4th grade fluency with addition to find the area of composite three-dimensional shapes.
In Unit 4, Addition and Subtraction of Fractions and Decimals, students generalize their understanding of addition and subtraction only being possible when operating with like units to the context of fractions and decimals. Because one must add like units, students see that before they can compute, they may need to find equivalent fractions or be careful to align units (which in turn means aligning the decimal point).
In Units 5, Multiplication and Division of Fractions, students develop a more nuanced idea of what multiplication and division mean in the context of fractions, and they apply that understanding to new cases of those operations, including multiplication of a fraction by a fraction, dividing two whole numbers to acquire a fraction as an answer, and dividing a unit fraction by a whole number and vice versa. With a deep understanding of these operations with fractions, students perform them with decimals in Unit 6, Multiplication and Division of Decimals, making sense of their answers in the context of their place value understanding.
The course ends with Unit 7, Patterns and the Coordinate Plane, in which students explore two numerical patterns and their relationship to one another. The coordinate plane helps to visualize those patterns, as well as other mathematical contexts. This provides a nice culmination to the year, hinting at some concepts that will be further developed in the middle grades, such as bivariate data and ratios and proportions.
Students in fifth grade focus on 3 key math skills: Developing fluency with fraction addition and subtraction, integrating decimal fractions into the place value system, and developing an understanding of volume.
Having learned all situation types of all four operations, 5th grade students extend this understanding to solve word problems involving all four operations with fractions and decimals with computations appropriate for the grade level. Learn how to develop students' word problem solving skills in the Fishtank Math curriculum with our Word Problem Teacher Tool.
Starting this fall and throughout the school year, you can visit Cobb Mathematics Department website to understand what your student is learning, how to support your student, and access to CTLS resources. This school year, your students will have access to custom digital courses grades K-12 in CTLS, textbooks for senior level math courses, and custom worktexts in grades K-8. Physical and digital manipulatives will be used to support hands-on learning and conceptual understanding in K-8 grade classrooms.
Online learning modules are available for students taking courses in 6th-12th grades. No sign-in required and the material is free! Great for students to preview or review the courses that they are taking.
Cobb County School District students from any high school may apply for admission to Linear Algebra and Calculus 3 for the school year through Georgia Tech, once they complete AP Calculus. Students would experience the Calculus courses through distance learning via online. Check with your local counselor for more information.
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The Cobb County School District is committed to parent, family and community engagement, and it is our hope that by providing this tool on our website that we are making our information more accessible to families whose first language is not English and thereby enabling better engagement in public education.
This course begins with a unit on reasoning about area and understanding and applying concepts of surface area. Instead of front-loading review and practice from prior grades, these materials incorporate opportunities to practice elementary arithmetic concepts and skills through warm-ups, in the context of instructional tasks, and in practice problems as they are reinforcing the concepts they are learning in the unit. Students will encounter plenty of examples of a mathematical or statistical idea in various contexts before that idea is named and studied as an object in its own right.
Preparation for calculus and other mathematics courses. Exponentials, logarithms, trigonometry, polynomials, and rational functions. Satisfies no requirements other than contribution to the 180 units required for graduation.
Prerequisite: Recommended: A passing score on the Pre-Calculus Self-Assessment exam, or a score of 450 or higher on the Mathematics section of the SAT Reasoning Test. Not for students with a score of 3 or higher on the AP Calc AB exam. Not for students with a score of 3 or higher on the AP Calc BC exam.
Introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates, and optimization. Exponential and logarithm functions.
Prerequisite: MATH 1B or SAT Mathematics or ACT Mathematics. MATH 1B with a grade of C- or better. SAT Mathematics with a minimum score of 650. ACT Mathematics with a minimum score of 29. Placement via the Calculus Placement exam (fee required) is also accepted.
Restriction: School of Physical Sciences students have first consideration for enrollment. School of Engineering students have first consideration for enrollment. School of Info & Computer Sci students have first consideration for enrollment.
Restriction: School of Physical Sciences students have first consideration for enrollment. School of Engineering students have first consideration for enrollment. School of Info & Computer Sci students have first consideration for enrollment. Undeclared Majors have first consideration for enrollment.
Differential and integral calculus of real-valued functions of several real variables, including applications. Polar coordinates. Covers the same material as MATH 2D-E, but with a greater emphasis on the theoretical structure of the subject matter.
Prerequisite: MATH 2B or MATH 5B or MATH 7B or (AP Calculus BC and (MATH H3A or MATH 3A)). MATH 2B with a grade of A or better. MATH 5B with a grade of A or better. MATH 7B with a grade of A or better. AP Calculus BC with a minimum score of 5. MATH H3A with a grade of B- or better. MATH 3A with a grade of A or better
Restriction: Undeclared Majors have first consideration for enrollment. School of Physical Sciences students have first consideration for enrollment. School of Engineering students have first consideration for enrollment.
Prerequisite: MATH 2B or MATH 5B or MATH 7B or AP Calculus BC. MATH 2B with a grade of A or better. MATH 5B with a grade of A or better. MATH 7B with a grade of A or better. AP Calculus BC with a minimum score of 5
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