ࡱ> b 0jbjb{x{x Q*    ( zZ        yyyyyyy,s{R}y     yN  yNNN   yN| yNNdADB p< 6B&B6y0zB&e~Ne~LBNd$BIGFORK SCHOOL DISTRICT NO. 38(Curriculum Alignment Document) SUBJECT: ____Math________________ Page: __1______________________ Code: ________________________________________________ Montana Content Standard 1 Number Sense and Operations Essential Learning Grade ____5_______CRTDISTRational number relationships Estimation and reasonableness Number theory Rational number operations Metric and standard measurement Proportional reasoning 5.1.1 Identify and apply an understanding of place value up to 1,000,000. 5.1.1, 5.1.2 Count, read, write, order, estimate, and compare numbers up to 1,000,000. 5.1.1 Introduce whole numbers and all operations with integers. 5.1. 2 Use estimation to evaluate or predict results whole numbers, decimals, fractions). 5.1.3 Apply multiplication and division facts (1-10) Multiply two and three digit numbers (4282 x 89). 5.1.3 Divide numbers with two digit divisors with remainders.  5.1.3 Demonstrate an understanding of decimals and their place on a number line. 5.1.3 Define and develop understanding of multiples and factors (GCF and LCM). 5.1.3 Introduce concept of Algebraic order of operations (including exponents). 5.1.3 Introduce/Develop concept of converting between fractions, decimals, and percents. 5.1.4 Add and subtract fractions with like and unlike denominators.. 5.1.4 Introduce multiplication and division with fractions 5.1.4 Multiply and Divide decimals to the hundredths place 5.1.4 Define fraction and draw a model. 5.1.4 Add/Subtract decimals. 5.1.5 Interchange measurements units within the same system.5.1.5 Select and use appropriate units and tools to measure to a level of accuracy required in a particular. 5.1.5 Calculate length, volume, weight using standard units of English and Metric. 5.1.6 Introduce concept of ratio, rate, and proportion.Montana Content Standard 2 Data AnalysisEssential Learning Grade __5_________CRTDIST2.1 representing and comparing data 2.2 evaluating data 2.3 finding probability and predicting. 5.2.1 Construct and interpret data through a variety of groups and charts (bars, circles, lines, plots, pictures, table, stem -and-leaf, Venn diagrams, T-charts, and pictographs). 5.2.2 Compute averages (mean). 5.2.2 Recognize outliers. 5.2.2 Identify range, maximum, minimum, median, and mode.5.2.3 Predict and identify possible outcomes by using data analysis (finding rate and probability).Montana Content Standard 3 Geometric Reasoning Essential Learning Grade _5__________CRTDIST3.1 Properties of solids and figures 3.2 Congruence and similarity 3.3 Transformations 3.4 Angles, surface area, and volume 3.5 Justifying relationships 5.3.1 Identify, describe, construct, and compare two and three-dimensional figures (polygons, and tetrahedrons)5.3.2 Be introduced to congruency and similarity.5.3.3 Demonstrate and explain transformations (reflection (flip), rotation (turn), translation (slide)).5.3.3 Write and plot pairs on a coordinate grid 5.3.4 Interchange measurement units (capacity, length, and mass) within the same system. (metric and customary) 5.3.4 Calculate perimeter and area of triangles and all quadrilaterals having at least one pair of parallel sides (trapezoids). 5.3.4 Describe relationships between area, perimeter, and volume to develop understanding of the formula. 5.3.4 Recognize as benchmarks for estimating angles (45, 90, 180, 360) 5.3.4 Identify acute, obtuse, and right angles. 5.4.4 Describe and identify parallel, perpendicular, and intersecting lines. 5.3.5 Prove congruency and similarity in polygons. BIGFORK SCHOOL DISTRICT NO. 38(Curriculum Alignment Document) SUBJECT: ____________________ Page: ________________________ Code: ________________________________________________ Montana Content Standard 3 Algebraic and Functional ReasoningEssential Learning Grade ______5_____CRTDISTRepresenting and generalizing patterns Linear functions Multi-step equations Equivalent algebraic expressions 4.5 linear modeling5.4.1 Recognize and use the commutative, associative, and distributive properties of operations. 5.4.1 Recognize, describe, and generalize patterns in problem solving.5.4.2 Solve and explain problems using tables, graphs, and rules. 5.4.2 Use mathematical functions, patterns, and symbols to solve and explain everyday problems. 5.4.3 Describe a relationship through verbal rules and function tables.5.4.3 Write and find solutions for equations that contain an unknown number or variable.5.4.3 Use of symbols greater that, less than, greater than or equal to, less than or equal to, equal to, not equal to, and approximate to show relationships between numbers, expressions, and equations5.4.4 Demonstrate understanding and solve real world problems through verbal and written descriptions, models, graphs, and charts. 5.4.5 Graph a function tables.Montana Content Standard Universal Principles Essential Learning Grade ___5________CRTDISTIdentify and apply uses of mathematics in everyday world. Select and use appropriate technology to enhance mathematical understanding. Appropriate technology may include, but is not limited to: paper and pencil, calculator, computer, and data collection devices. Communicate thinking and logic through drawings, demonstrations, or writing. Solve multi-step problems by defining what information is needed and operations are used. Understand and use grade level appropriate mathematical vocabulary and symbols.Be introduced to problem solving strategies, such as, models, drawings, organized lists, guess and check, tables, working backwards, patterns, and solving a simpler problem. 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