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1 Page 1 Month Unit Content Section Benchmarks Description Sept 4- Oct Unit 1: 3 Whole # and decimal operations 1.1, 1.2, 1.5, 1.7, 1.8, 1.9,2.1, 2.3, 2.4, 2.6, Apply the associative, commutative and distributive properties and order of operations to generate equivalent expressions and to solve problems involving positive rational numbers Compare postive rational numbers (symbols) Postitive rational numbers on a number line Solve real world mathematical problems requring a Oct 3- oct 24 (13 Unit 2: Fraction, Decimal, and Percent Equivalencies 3.2,3.2, 4.1, 4.2, 4.3, 4.4, 4.5, Multiply and divide decimals and fractions, using e Factor whole numbers; express a whole number as a product of prime factors with exponents determine GCF and LCM Locate positive Rational numbers on number line Convert between equivalent representations of postive rational numbers Determine equivalencies among fractions, decimals, and pecents. Select among the equivalencies to solve problems

2 Page 2 October 24- Nov 8 (10 Unit 2: Fraction Concepts 5.2, 5.3,5.7, 6.2, 6.3, 6.4, 6.5, Solve real world mathematical problems requring arithmetic using decimals Use the meanings of fractions, multiplication, division, and the inverse relationship between multiplication and division to make sense of procedures to multiplying and dividing fractions Multiply and divide decimals and fractions, using efficient and generalizable procedures, including standard algorithms. Nov.8- nov.21 (14 Nov. 21- Dec 7 (10 Unit 3: Unit 3 (Part2): Integers and Rational Numbers Expressions and Equations 9.1, 9.3, 9.5, 9.6, 9.9, 10.1, 10.2, 10.3, 11.1, 11.2, 11.3, 11.5, 11.6, 11.9, locate positive Rational numbers on number line Compare postive rational numbers (symbols) Understand variable can be used to represent a quanity that can change, often in relationship to another changing quanity. Use variables in various contexts Represent real-world or mathematical situations using equations and inequalities involving variables and positive rational numbers Solve equations involving positive rational numbers using number sense, properties of arithmetic and the idea of maintaing equality on both sides of the equation. Dec.7-Jan 9 (16 Unit 4: Patterns and Graph Relations 12.1, 12.2, 12.3, 13.1, , 13.3, 13.4, 13.4, 13.5 Represent the relationship between two varying quantities with function rules, graphs, and tables; translate between any of these 2 representations

3 Page 3 Jan.7- Jan.26 Jan..26- feb 26 (23 feb 26- Mar.15 (12 Unit 5: Unit 5 (part2): Unit 6: Geometry: Figures, planes, lines, angles Geometry:perime ter, area, surface area, volume 14.3, 14.5, 15.1, 15.2, 15.3, , 17.2, 17.3, 19.1, 19.2, 19.3, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 21.1, 21.2, 21.4, Ratio and Proportions 22.1, 22.2, 22.3, 22.4, 22.5, 22.7 Represent real-world or mathematical situations using equations and inequalities involving variables and positive rational numbers Solve problems using the realtionship between the angles formed by intersecting lines Determine the missing angle measures in a triangle (using sum of 180) Develop formulas for the sums of the interitior angles of polygons by decomposing them into triangles Calcualte surface area and volume of prisms and use appropriate units. Justify the formulas (decomposition or nets) Calcualte the area of quadrilaterals. (squares, rectangles, rhombuses, parallelogram, trapezoids, and kites.(validate why formulas work) Estimate the perimeter and area of an irregular figure on a grid when they cannot be decomposed into common figures and use correct units Identify and use ratios to compare quantities; understand that comparing quantities using ratios is not the same as comparing quantities using subtraction

4 Page Apply the relationship between ratios, equivalent fractions and percents to solve problems in various contexts, including those involved in mixtures and concentrations. march Unit 7: April 9 (9 April 9- april 25 (11 Unit 7 (part 2): Percent and change 23.1, 23.2, Probability 24.1, 24.2, 24.4, 24.5, Determine the rate for ratios of quantities with different units Use reasoning about multiplication and division to solve ratio and rate problems calculate the pecent of a number and determine what percent one number is of another to solve problems in various contexts Understand that percent prepresents parts out of 100 and ratios to Determine the sample space (outcomes) for a given experiment and determine which members fo the sample space are related to certain events (tree diagram, pictorial, representations) Determine the probability of an even using the ratio between the size of the event and the size of the sample space; represent probabilities as percents, fractions, and decimals Perform experiments for situations in which the probabilities are known, compare the resulting relative frequencies with the known probabilities Calcualate experiemental probability from experiements. Use it to make predictions

5 Page 5 May 2- May 15 (7 Unit 8: Measurement chapter Solve problems in various contexts involving conversions of weights, capacties, geometric measurements, and times (with app. Units) Etimate weights, capacities, and geometric measurements using benchmarks in measurement systems with app. Units before MCA MCA REVIEW DAYS May 16- May31 (10 June 4th- June 12 Unit 9 Graphing Project based Analyzing data and constructing graphs with appropriate scales Unit 10: june Final and last day of school activities Real world Geometry Project based Students calculate SA, V, A, and P of their blueprint (create dream house to review geometry concepts)

6 Page 6 arithmetic using decimals efficient and generalizable procedures, including standard algorithms.

Number and Operation Standard #1. Divide multi- digit numbers; solve real- world and mathematical problems using arithmetic.

Number and Operation Standard #1 MN Math Standards Vertical Alignment for Grade 5 Demonstrate mastery of multiplication and division basic facts; multiply multi- digit numbers; solve real- world and mathematical