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Download Math Syllabus for Grade 6 - The Imagination Tree, FASCA
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The Imagination Tree, FASCA Foundation for Academics, Science, Computer Science & the Arts www.fasca.org Imagine Create Thrive FASCA Math Syllabus 6th Grade PAGE 1 OF 4 Sixth Grade Goals / Objectives / Skills Summary Numbers and Operations • Compute accurately and efficiently using the order of operations. • Demonstrate understanding of the commutative, associative, and distributive properties. • Compare and order fractions, decimals, and percents. • Demonstrate a mastery of multiplication and division of fractions and mixed numbers. • Read, write, and round decimals through the billionths place. • Demonstrate a mastery of multiplication and division of decimals. • Know fraction, decimal, and percent equivalencies for halves, thirds, fourths, fifths, eighths, and tenths. • Read and write numbers with positive exponents. • Calculate the value of a number with a positive exponent. • Write any number as a product of prime numbers. • Use prime factors to find greatest common factor and least common multiple. Measurement • Demonstrate the ability to calculate perimeter and area for rectangles and squares and find the area of right triangles. • Calculate conversions between measures of length, weight, and capacity within customary and metric situations. Algebraic Methods • Represent, analyze, and generalize a variety of patterns with tables, graphs, words, and when possible, symbolic rules. • Relate and compare different forms of representation for a relationship using tables, graphs, words, sketches, and symbols. • Solve one-step equations and inequalities. • Identify and plot ordered pairs for points on the Cartesian plane. Geometry • Classify angles in two- and three-dimensions as acute, right, or obtuse. • Draw figures given information about the measures of their sides and angles. Data and Probability • Collect data relating to school or school subject situations using observations, measurement, surveys, or experiments. • Collect, organize, record, and analyze the data using known graphical approaches, as well as histograms, box-plots, and scatter-plots. • Determine all possible outcomes of a simple event. ________________________________________________________________________________ Property of The Imagination Tree, FASCA. This document, in its entirety, is protected by the copyright laws of the United States of America. All rights reserved. 112 Courthouse Road SW Vienna Virginia 22180 Phone: 703.242.4401 E-mail: [email protected] The Imagination Tree - FASCA is a nonprofit section 501(c)(3) Virginia company. The Imagination Tree, FASCA Foundation for Academics, Science, Computer Science & the Arts www.fasca.org Imagine Create Thrive FASCA Math Syllabus 6th Grade PAGE 2 OF 4 A. Students in the sixth grade mathematics program will master the four arithmetic operations with positive and negative numbers, whole numbers, fractions, and decimals. B. Students will use ratios to compare data sets. C. They will begin using integers and percents and will be introduced to algebraic terms and solving algebraic equations in one variable. D. Students in the sixth grade will classify and measure three - dimensional figures and will make conversions within a given measurement system. E. In addition, they will collect, analyze, display, and interpret data by using a variety of graphical and statistical methods. F. They will calculate range, mean, median, and mode of data sets and will find the probability of an event. G. While learning mathematics, students should be actively engaged and using appropriate technologies, such as calculators, computers, spreadsheets, laser discs, and videos to enhance their understanding of qualitative concepts and for proficiency in basic computations. H. Students should correctly use the concepts, skills, symbols, and vocabulary associated with mathematics. Number Sense and Operations 1. The student will solve problems involving fractions, decimals, ratios, proportions, and percentages. a. Compare and order decimals, fractions, mixed numbers, and positive and negative integers on a number line. b. Identify and represent equivalent decimals, fractions, and percents. c. Find common multiples and factors, including least common multiple and greatest common factor. d. Identify and describe prime and composite numbers through 100. e. Describe and compare two sets of data, using ratios and the appropriate notations (e.g. a/b a to b,a:b). f. Determine that a proportion is an equal ratio. Use proportions to solve problems. 2.The student will solve problems involving addition, subtraction, multiplication, and division. a. Add, subtract, multiply, and divide fractions, mixed numbers, and decimals. b. Calculate given percentages of quantities. Solve problems involving discounts at sales, interest earned, sales tax, etc. c. Add and subtract positive and negative integers. d. Use the order of operations to simplify numerical expressions with parentheses and exponents. ________________________________________________________________________________ Property of The Imagination Tree, FASCA. This document, in its entirety, is protected by the copyright laws of the United States of America. All rights reserved. 112 Courthouse Road SW Vienna Virginia 22180 Phone: 703.242.4401 E-mail: [email protected] The Imagination Tree - FASCA is a nonprofit section 501(c)(3) Virginia company. The Imagination Tree, FASCA Foundation for Academics, Science, Computer Science & the Arts www.fasca.org Imagine Create Thrive FASCA Math Syllabus 6th Grade PAGE 3 OF 4 e. Use estimation strategies to solve multi-step problems involving decimals, fractions, and percents. Patterns, Relations, and Algebra 1.The student will write, evaluate, and solve simple equations. a. Write and solve one - step linear equations in one variable. b. Use variables to describe numerical expressions and relationships. c. Investigate and describe concepts of positive exponents, perfect squares, square roots, and scientific notation. Use a calculator to develop exponential patterns. 2.The student will analyze & use tables/ graphs/rules to solve problems involving ratios and proportions. a. Use graphic forms to solve problems involving numerical relationships (including inequalities). b. Solve problems involving rates, average speed, distance and time. Geometry 1. The student will identify and classify the properties of and relationships between geometric figures. a. Classify and draw solid figures (e.g. rectangular prisms, cones, cylinders, and pyramids). b. Describe and apply the property of symmetry in figures. c. Identify congruent figures. Measurement 1. The student will select appropriate units and tools for measurement tasks. a. Explain the need for precision. b. Compute the least and greatest possible error. c. Compare weights, capacities, geometric measures, times, and temperatures within, and between, measurement systems (e.g. miles per hour, feet per second). 2. The student will select and use appropriate units for measurement. a. Compare measurements of length, area, capacity, weight, and time expressed in a given unit to other units in the same measurement system. b. Compute measurements of combined units (e.g. 9’6” + 3’6” = ?). c. Compare/contrast Fahrenheit and Celsius temperatures. d. Use indirect measures, such as grids, to estimate the area of irregular shapes. e. Use the appropriate tool to measure length, temperature, and angle in customary and metric systems. Data Analysis, Statistics, and Probability 1. The student will collect, analyze, display, and interpret data in a variety of methods. a. Read and analyze data displayed in a variety of forms (e.g. charts, pictographs, stem and leaf ________________________________________________________________________________ Property of The Imagination Tree, FASCA. This document, in its entirety, is protected by the copyright laws of the United States of America. All rights reserved. 112 Courthouse Road SW Vienna Virginia 22180 Phone: 703.242.4401 E-mail: [email protected] The Imagination Tree - FASCA is a nonprofit section 501(c)(3) Virginia company. The Imagination Tree, FASCA Foundation for Academics, Science, Computer Science & the Arts www.fasca.org Imagine Create Thrive FASCA Math Syllabus 6th Grade PAGE 4 OF 4 plots). b. Compute the range, mean, median, and mode of a set of data. c. Use measures of central tendency to compare two sets of data. d. Identify different ways to select samples. Determine when to use sample or population data. 2.The student will explore probability and chance. a. Identify probabilities of events and predict outcomes. b. Represent all possible outcomes for compound events in an organized manner (e.g. spreadsheets, tables, tree diagrams). ________________________________________________________________________________ Property of The Imagination Tree, FASCA. This document, in its entirety, is protected by the copyright laws of the United States of America. All rights reserved. 112 Courthouse Road SW Vienna Virginia 22180 Phone: 703.242.4401 E-mail: [email protected] The Imagination Tree - FASCA is a nonprofit section 501(c)(3) Virginia company.
