ࡱ> b  jbjb{x{x 'vz?z?z?z?<? v_BBBBBBBB?_A_A_A_A_A_A_,jaRcm_BBBBBm_BBB_BBBB BB?_Bd^B?_BBPhcQB <z?BPcQ _0_ QX\dB\d cQBvv=z?vvz?BIGFORK SCHOOL DISTRICT NO. 38(Curriculum Alignment Document) SUBJECT: _8th Grade Math____________ Page: ________________________ Code: ________________________________________________ Montana Content Standard 1Essential Learning Grade ____8th_____CRTDISTNumber Sense and Operations 8.1.1 Rational number theory 8.1.2 Estimation and reasonableness 8.1.3 Number theory 8.1.4 Rational number operations 8.1.5 Metric and standard measurement 8.1.6 Proportional reasoning8.1.1 Demonstrate proficiency with the concept of converting between fractions, decimals and percents.8.1.2 Apply and justify estimation strategies throughout the problem solving process.8.1.2 Estimate sums, differences, products and quotients with fractions, decimals, and integers and assess the reasonableness of answers. 8.1.3 Use Algebraic Order of Operations (including exponents).8.1.3 Demonstrate proficiency in multiples and factors (GCF and LCM)8.1.4 Apply the concepts and strategies for the addition, subtraction, multiplication and division of integers as well as positive and negative fractions and decimals in a problem solving situation.8.1.5 Differentiate and apply the English and metric systems of measurement.8.1.5 Interchange measurements within the same system.8.1.5 Select and use appropriate units and tools to measure to a level of accuracy required in a particular setting.8.1.5 Apply the concepts of capacity, weight and mass, measure, time and temperature.8.1.6 Use the concepts of rate and other derived and indirect measurements in problem solving situations (e.g. Indirect: Determine the surface areas of walls without measuring it. Derived: meters/second) 8.1.6 Use the relationships and applications of ratio, rate, dimensional analysis, direct variation, percent and proportion when solving problems.  Montana Content Standard 2Essential Learning Grade ___8th_____CRTDISTData Analysis 8.2.1 Representing and comparing data 8.2.2 Evaluating data and making conjectures 8.2.3 Finding probability and predicting8.2.1 Construct, read and interpret tables, charts, line plots, histograms, bar graphs, line graphs, circle graphs, stem-and-leaf plots, box-and-whisker plots and scatter plots with appropriate labels and scale.8.2.2 Draw inferences, construct, and evaluate arguments based on data analysis and measures of central tendency.8.2.2 Identify domain, range, slope and coordinate pairs from a data set.8.2.3 Make predictions based on experimental results or probabilities.8.2.3 Compute probabilities for simple compound events, using such methods as organized lists, tree diagrams and area models.8.2.3 Use the Fundamental Counting Principle to determine theoretical and experimental results or probabilities of events. Montana Content Standard 3 Geometric Reasoning 8.3.1 Properties of solids and figures 8.3.2 Congruence and similarity 8.3.3 Transformations including dilations 8.3.4 Angles, surface area, and volume 8.3.5 Justifying relationshipsEssential Learning Grade __8th ______CRTDIST8.3.1 Understand and apply the Pythagorean Theorem.8.3.1 Identify properties of geometric solids and nets using appropriate vocabulary.8.3.2 Understand and apply the properties of congruency and similarity.8.3.3 Identify and perform transformations on the coordinate plane.8.3.4 Apply the concepts of perimeter, area, volume with the correct associated units.8.3.4 Explore change between various units of area or volume.8.3.5 Create and critique arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship. Montana Content Standard 4 Algebraic and Functional Reasoning 8.4.1 Representing and generalizing 8.4.2 Linear Functions 8.4.3 Multi-step equations and inequalities 8.4.4 Equivalent algebraic expressions 8.4.5 Linear modelingEssential Learning Grade ___8th_____CRTDIST8.4.1 Translate verbal sentences into mathematical notations. 8.4.1 Use patterns and functions to represent and solve problems.8.4.1 Recognize and use the commutative, associative, distributive, identity properties and multiplicative property of zero, reflexive, symmetric and transitive properties.8.4.1 Recognize situations and number patterns using tables, graphs, verbal rules equations and models.8.4.2 Describe and represent relationships and functions with verbal rules, tables, equations, models and graphs. 8.4.2 Recognize and predict patterns of change associated with linear relationship. 8.4.2 Recognize and predict rates of change and make connections to slope.8.4.2 Write and evaluate equations in functional notation.8.4.3 Simplify and solve variable expressions, equations and inequalities containing decimals and fractions.8.4.4 Investigate and analyze functional relationships to explain how a change in one quantity results in a change in another (ex. y = 2x + 4)8.4.5 Explore relationships between symbolic expression and graphs of lines, paying particular attention to the meaning of y-intercept and slope8.4.5 Graph linear equations and inequalities on the coordinate plane. Montana Content Standard Essential Learning Grade __8th______CRTDISTUniversal PrincipalsFormulate and solve multi-step and non-routine problems using a variety of strategies. Generalize methods to new problem situations.Understand and use grade level appropriate mathematics vocabulary and symbols.Observe and recognize mathematic strategies in real world situations.Select and use appropriate technology to enhance mathematical understanding. 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