Long Term Plan 2012-2013 6 grade math th
Unit 1 : Whole Numbers & Decimals 1. Read, write, and visually represent whole numbers and decimals. a. Place value with whole numbers and decimals b. Exponents (expanding) c. Number lines with whole numbers and decimals 2. Add, subtract, and round decimals and whole numbers. a. Round whole numbers. b. Round decimals. c. Estimate whole number and decimal sums and differences. d. Add and subtract decimals. e. Fractions of groups 3. Compute fluently with exponents. a. Evaluate exponents. b. Evaluate cubes and squares. c. Evaluate roots (cubes and squares). Unit 2: Fractions 1. Read, write, and visually represent fractions. a. Visually represent fractions. b. Number lines with fractions. 2. Add and subtract fractions a. Equilvalent fractions b. Like fractions c. Regroup fractions d. Unlike fractions 3. Compare fractions, decimals, and percents. a. Visually represent and number lines with decimals. b. Visually represent and number lines with percents. c. Convert between FDP. d. Create share number lines with FDP. 4. Read, write, and describe ratios, rates, and proportions. a. Read and write ratios. b. Solve proportions. c. Reduce/simplify proportions. d. Find unit rates. Unit 3: Multiplication and Division 1. Multiply decimals and fractions. a. 10 x 10 grids – decimals b. algorithm – decimals c. algorithm – regular fractions d. algorithm – mixed numbers 2. Division Basics a. whole numbers (no remainders) b. whole numbers (with remainders) c. Two digit division d. Interpret remainders 3. Divide decimals. a. 10 x 10 grids – decimals b. algorithm – decimals
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c. represent remainders as fractions. d. represent remainders as decimals. Divide fractions. a. algorithm – regular fractions (can divide across) b. algorithm – regular fractions (cannot divide across) c. algorithm – mixed numbers d. fractions of whole numbers
Unit 4: Algebra 1. Recognize, extend, & create patterns using rules and function tables. a. Convert between numerical/algebraic and verbal expressions and equations. b. Describe and extend number sequences. c. Use pattern rules to create function tables. d. Create pattern rules to use function tables. 2. Understand and apply the basic properties of operations. a. Evaluate expressions using the order of operations. b. Recognize and apply the associative and commutative properties in expressions. c. Recognize and apply the distributive property in expressions. d. Recognize commutative, associative, distributive properties. 3. Use properties of operations with algebraic equations. a. Simplify expressions by combining like terms. b. Simplify using the distributive property. c. Write equations from word problems. 4. Evaluate one-step equations. a. Substitute values for variables to solve. b. Solve one-step addition and subtraction equations. c. Solve one-step mulitiplication equations. d. Solve one-step division equations. e. Represent equations using pictures. Unit 5: Statistics 1. Use coordinate planes to draw functions and figures. a. Graph coordinates on a coordinate plane. b. Graph functions on a coordinate plane. c. Create and identify polygons on a coordinate plane. d. Distinguish between linear and nonlinear functions from graphs, tables, coordinate points and equations. 2. Identify and evaluate survey questions, samples, and results to identify bias and make predictions. a. Justify choice in sampling. b. Identify bias (in sample or question) and correct, if nesssary.
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Draw numeric conclusion about population based on sample. d. Evaluate survey results. Read, create, and evaluate basic graphs. a. Read and interpret circle graphs. b. Read and interpret stem-and-leaf plots. c. Compare and justify the use of a particular graph. Compute and analyze measures of center in graphs. a. Calculate mean, median, mode, and range. Calculate and model possible outcomes, simple probabilities, and combinations. a. Calculate possible outcomes using sample space (list) and the fundamental counting principle. b. Create a grid (area model) to show the possible outcomes of an event. c. Create a tree to show the possible outcomes of an event. d. Find the (simple) probability of an outcome. e. Find the probability of independent compound events. Calculate elapsed time and create Venn Diagrams. a. Calculate elapsed time. b. Read and create Venn Diagrams.
Unit 6: Visual Sense 1. Describe and classify 3D figures based on their attributes. a. Manipulate tangrams. b. Identify a 3D figure based on its attributes. c. Calculate the volume of a 3D figure. d. Identify isometric representations from mat plans.
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Recognize, describe, and apply symmetry and transformations. a. Identify similar and congruent figures. b. Identify corresponding parts of figures. c. Recognize, describe, and apply rotational symmetry. d. Recognize transformations. Read and solve problems using vertex-edge graphs.
Unit 7:Geometry 1.
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Classify and measure lines and angles and read vertexedge graphs. a. Name lines, angles, and polygons. b. Measure and classify angles. Describe and calculate perimeter and area. a. Describe and distinguish between perimeter and area. b. Calculate perimeter and area using coordinate planes. c. Calculate perimeter and area given side lengths. d. Calculate periemter and area with missing lengths. e. Calculate perimeter of irregular shapes.
Unit 8: Measurement 1. Operate on metric and customary units. a. Identify and use appropriate units of measure. b. Convert measures withing the customary system. c. Convert measures within the metric systm. d. Compute with measures.
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