Welcome to Mrs. Cargiulo's GT Math Class!
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4th Grade Math HW
Coming soon to 4th Grade Math
5th Grade Math HW
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4th grade On-line study guides 2009
5th Grade On-line Study Guides 2009
On-Line Study Guides for 4th and 5th Grades (2008 version- still has good links, but 2009 version better)
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QUARTER 2: Standard 7.0 – Processes of Mathematics: Students demonstrate the processes of mathematics by making connections and applying reasoning to solve problems and to communicate their findings. (These processes serve as the foundation for the delivery of all mathematics content objectives.) Objectives – The student will be able to: a. Select and apply a variety of concepts, processes, and skills to solve problems. (Problem Solving) b. Justify ideas or solutions with mathematical concepts or proofs. (Reasoning) c. Present mathematical ideas using words, symbols, visual displays, or technology. (Communication) d. Relate or apply mathematics within the discipline, to other disciplines, and to life. (Connections) Unit 3 – Algebra, Patterns, and Functions Standard 1.0 – Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships. Objectives – The student will be able to: a. Identify, extend, create, and describe a variety of numeric and non-numeric patterns and generalize rules illustrated. b. Interpret and write a rule for a function table involving one operation (+, -, x, ÷ with no remainders). c. Complete a function table involving one or two operations. d. Create a function table with one operation to solve a real world problem. e. Apply a given two-operation rule for a pattern. f. Determine the rule for a pattern involving two operations and write the rule in words or algebraic form. g. Translate and evaluate situations into numerical and algebraic expressions. h. Solve for the unknown in an equation using mental math and guess and check. Unit 4 – Number Relationships and Computation (Fractions) Standard 6.0 – Number Relationships and Computation/Arithmetic Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil, or technology. Objectives – The student will be able to: a. Connect whole numbers, decimals, fractions and mixed numbers to locations on a number line. b. Construct models using a variety of manipulatives to illustrate a fraction for a region or part of a set. c. Interpret a fraction as a representation of division. d. Represent the relationship between fractions and decimals through models and symbols. e. Estimate the value of a fraction and a decimal as being close to 0, 1/2, and 1 and indicate their placements on a number line. f. Express a fraction as a terminating or repeating decimal through division with annexing zeros in dividend. g. Estimate and measure length and height using customary units. h. Find factors and common factors of numbers. i. Simplify fractions using the greatest common factor. j. Find multiples, common multiples, and least common multiples (LCM) in order to determine least common denominator (LCD). k. Calculate equivalent fractions. l. Rename mixed numerals as improper fractions and improper fractions as mixed numerals. m. Compare and order fractions, mixed numbers, decimals (through thousandths), and percents on a number line. n. Determine equivalent decimals. o. Express a fraction as a decimal and percent, and a decimal as a fraction and percent. Unit 5 – Probability Standard 5.0 – Students will use experimental methods or theoretical reasoning to determine probabilities to make predictions or solve problems about events whose outcomes involve random variation. Objectives – The student will be able to: a. List all possible outcomes of independent events using organized lists and tree diagrams. b. State the probability of independent events for outcomes of equally likely, more (or most) likely, less (least) likely, certain, and impossible. c. Find the probability of an independent event and express as a fraction, decimal, and percent. d. Use theoretical probability to predict outcomes of an experiment. e. Conduct an experiment and compare the results to predictions based on theoretical probability. f. Explore the analysis of given game situations (spinner, dice, cubes, etc.) for fairness. Unit 6 – Statistics Standard 4.0 – Students will collect, organize, display, analyze, or interpret data to make decisions or predictions. Objectives – The student will be able to: a. Collect data by conducting surveys to answer a question. b. Analyze, interpret, construct, and make predictions (in oral and written form) based on frequency tables, single and double bar graphs, line plots, single and double line graphs, stem-and-leaf plots and back-to-back stem-and-leaf plots, and circle graphs. c. Describe the shape and important features of a data set (using the terms cluster, range, and outlier). d. Calculate the mean, median, and mode of a data set. e. Interpret a data set based on the mean, mode, and range. f. Determine the effect of outliers on the mean. g. Recognize misuses of data and analyze misleading data representations.
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