5th Grade Pacing Guide/Expressions Stanwood Camano School District

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Horatio Harmon
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1 11 Days 9/ Days 9/21 10/16 Fluency Plan Unit 1 Multiplication & Division Word Problems * more geometric pattern rules in Unit. 10 mini lesson E Mentally divide two-digit numbers by one-digit divisors and explain the strategies used. 5.1.F Solve single- and multi-step word problems involving multi-digit division and verify the solutions. Process P.E. 5.6.H 5.4.A Describe and create a rule for numerical and geometric patterns and extend the patterns. 5.4.C Write algebraic expressions that represent simple situations and evaluate the expressions, using substitution when variables are involved. Process P.E.s 5.6.A, 5.6.D, 5.6.E, 5.6.F, 5.6.G, 5.6.H, 5.6.I Use strategies for basic multiplication & division facts. Model equal groups, arrays, and area word problems for multiplication & division. Understand & apply properties of multiplication. Develop Fluency with multiplication and division facts. Solve combination problems. Solve comparison problems. Write situation & solve equations. Solve multi-step problems. Properties of multiplication. Write an equation to solve a problem. Write a rule & equation for a function. Equal groups Equation Array Row Column Area Length Width Commutative Property Inverse Operations Factor Product Combination Factor Product Comparison Area Equal groups Array Function Variable Equation Parenthesis Misleading Commutative Property Associative Property Distributive Property Expression Example Counter-Example Beginning of the Year Test Unit 1

2 15 Days 10/19 11/06 Unit 2 Perimeter & Area 5.3.C Identify, describe, and classify triangles by angle measure and number of congruent sides. 5.3.D Determine the formula for the area of a parallelogram by relating it to the area of a rectangle. 5.3.E Determine the formula for the area of a triangle by relating it to the area of a parallelogram. 5.3.F Determine the perimeters and areas of triangles and parallelograms. 5.3.I Solve single- and multi-step word problems about the perimeters and areas of quadrilaterals and triangles and verify the solutions. Find the perimeter & area of rectangles. Distinguish between linear units for perimeter and square units for area. Find the perimeter & area of parallelograms. Derive the formula for the area of a triangle from the formula for the area of a parallelogram. Find the perimeter & area of complex figures. Estimate measurements. Meter Decimeter Centimeter Millimeter Perimeter Area Square centimeter Square unit Base Height Acute angle Right angle Obtuse angle Triangle Rectangle Parallelogram Perpendicular Dimensions Complex figures Hexagon Pentagon Right triangle Acute triangle Obtuse triangle Equilateral triangle Isosceles triangle Scalene triangle Inch/foot/yard Unit 2

3 31 days 11/09 1/12 Unit 3 Addition & Subtraction of Whole Numbers & Decimals Do not teach Front End Estimation not an accurate enough form of estimation. More practice with writing numerical rules for patterns in Unit 10, Mini Lesson B Represent addition and subtraction of decimals using place value models and connect the representation to the related equation. 5.2.F Fluently and accurately add and subtract decimals. 5.2.G Estimate sums and differences of fractions, mixed numbers, and decimals to approximate solutions to problems and determine reasonableness of answers. 5.2.H Solve single- and multi-step contextual problems involving addition and subtraction of whole numbers, fractions (including mixed numbers), and decimals, and justify their solutions. 5.4.B Write a rule to describe the relationship between two sets of data that are linearly related. 5.5.C Construct and interpret line graphs. Process P.E.s 5.6.A, 5.6.B, 5.6.C, 5.6.D, 5.6.E, 5.6.F, 5.6.G, 5.6.H, 5.6.I, 5.6.J Understand place value from billionths thru billions. Compare & order whole #s & decimals (thousandths). Round whole #s & decimals to estimate differences. Use the commutative, associative and distributive property. Use different models to write a decimal (standard form, word form, expanded form, and as a fraction.) Write an equation to solve problems involving whole #s & decimals. Interpret & make a pictograph, bar graph, double bar graph, and single, double, and triple line graphs. Distinguish between & match the appropriate graphs for numerical & categorical data & discreet & continuous data. Meter Decimeter Centimeter Millimeter Standard Form Expanded Form Word Form Short Wrd Form Comm. Property Assoc. Property Distr. Property Scale Bar Graph Double Bar Graph Discrete Data Continuous Data Situation Equation Solution Equation Hypotheses Categorical Data Numerical Data Unit 3

4 10 Days 1/13 1/27 UNIT 4 Circles, Polygons & Angles Omit Lesson 4 Omit Lesson 5/Activity 2 Omit Lesson 6 Omit Lesson A Classify quadrilaterals. 5.3.B Identify, sketch, and measure acute, right, and obtuse angles. 5.3.G Draw quadrilaterals and triangles from given information about sides and angles. 5.3.H Determine the number and location of lines of symmetry in triangles and quadrilaterals. Use a protractor to determine the measure of any angle; measure internal angles and triangles, & quadrilaterals. Classify polygons by their angles & sides. Identify two -dimensional figures with line symmetry. Identify congruent figures. Line Ray Angle Parallel Perpendicular Oblique Protractor Degree Right angle Straight angle Intersect Opposite angle Vertical angle Complimentary Supplementary Proof Polygon Congruent Isosceles triangle Equilateral triangle Scalene triangle Acute triangle Obtuse triangle Right triangle Right trapezoid Line symmetry Line of symmetry UNIT 4 Quick Quiz 1

5 30 days 1/28 3/12 Unit 5 Addition & Subtraction w/ Fractions 5.2.A Represent addition and subtraction of fractions and mixed numbers using visual and numerical models, and connect the representation to the related equation. 5.2.C Given two fractions with unlike denominators, rewrite the fractions with a common denominator. 5.2.D Determine the greatest common factor and the least common multiple of two or more whole numbers. 5.2.E Fluently and accurately add and subtract fractions, including mixed numbers. 5.2.G Estimate sums and differences of fractions, mixed numbers, and decimals to approximate solutions to problems and determine reasonableness of answers. 5.2.H Solve single- and multi-step contextual problems involving addition and subtraction of whole numbers, fractions (including mixed numbers), and decimals, and justify their solutions. Process P.E.s 5.6.A, 5.6.D, 5.6.E, 5.6.G, 5.6.H, 5.6.I, 5.6.J Compare & order fractions, mixed #s, and decimals. Write fractions & decimals in equivalent forms. Convert & use improper fractions & mixed #s. Add & subtract fractions & mixed numbers with like & unlike denominators. Solve word problems involving addition & subtraction of fractions & mixed numbers. Describe probability situations by finding fractional equivalence. Unit fraction Non-unit fraction Numerator Denominator Addend Sum Improper fraction Mixed number Ungroup Equivalent Fractions Multiplier Simplify Un-simplify Multiplication Table Common Denominator LCD Probability Likely Unlikely Certain Impossible Frequency Table Line Plot Benchmark Unit 5 * may need to add additional +/- of decimals

6 33 Days 3/15 5/05 Unit 7 Multiplication & Division with Whole #s & Decimals Stem & Leaf Plots is a 7 th Grd. P.E. 5.1.A Represent multi-digit division using place value models and connect the representation to the related equation. 5.1.B Determine quotients for multiples of 10 and 100 by applying knowledge of place value and properties of operations. 5.1.C Fluently and accurately divide up to a four digit number by one- or twodigit divisors using the standard longdivision algorithm. 5.1.D Estimate quotients to approximate solutions and determine reasonableness of answers in problems involving up to two-digit divisors. 5.5.B Determine and interpret the mean of a small data set of whole numbers. Process P.E.s 5.6.A, 5.6.D, 5.6.E, 5.6.F, 5.6.G, 5.6.H, 5.6.I, 5.6.J Multiply whole #s by 2 and 3 digit #s and by decimals. Use ordinary & safe estimations. Divide whole #s by 1 & 2 digit divisors & by decimals. Use rounding & compatible #s to check quotients. Find mean, median & mode and range of a data set. Interpret remainders in the context of a problem and as fractions and decimals. Partial products Rectangle sections Expanded notation Rectangle rows Shortcut Round Remainder Estimate Digit by digit Under-estimate Over-estimate Adjusted estimate Divisible Even Odd Operation Mean Median Mode Maximum Minimum Outlier Unit 7

7 10 Days 5/06 5/19 Unit 8 Algebra, Functions & Graphs 5.4.D Graph ordered pairs in the coordinate plane for two sets of data related by a linear rule and draw the line they determine. 5.5.A Classify numbers as prime or composite. Process P.E. 5.6.E Find the prime factorization of composite numbers. Use the order of operations to simplify expressions and solve equations with and without exponents. Write and solve one-and twooperation equations. Evaluate expressions, equations, and inequalities. Write equations for function tables. Determine perimeter of figures on a coordinate grid. Graph a function. Expression Base Exponent Prime factorization Order of operations Equations Variable Inverse operation Expression Equation Evaluate Inequality Input Output Function Coordinate plane X - axis Y - axis Ordered pair Origin Unit 8

8 5 Days 5/20 5/28 Unit 10 Patterns and Transformations Do Mini Lessons 1 & 2 only Translations, rotations & reflections are 8 th grd P.E.s 5.4.A Describe and create a rule for numerical and geometric patterns and extend the patterns. 5.4.B Write a rule to describe the relationship between two sets of data that are linearly related. Describe & extend repeating patterns. Describe & extend growing & shrinking patterns. Repeating pattern Term Growing pattern Shrinking pattern Function Unit 10 #s 1 5 Extra days have been added to each unit to ensure that skills are taught to mastery and to promote the use of Best Practices in our lessons. If time allows at the end of the year, please review adding and subtracting like and unlike fractions, as this is critical to be successful in math in 6 th grade. Please see more detailed pacing guide for district wide assessment expectations.

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