What Students Should Be Able To Do (Skills) Construct decimal models Read and write decimals through hundredthousandths

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1 District Collaborative Curriculum Map Grayslake Community Consolidated School Dist 46) Math 6* / Grade 6 (District Curr. Intermediate) Adding & Subtracting Decimals (Week 1, 5 Should Decimal models Decimals Place value Standard form Expanded form Decimal comparison and order Addition and subtraction of decimals Estimation of data Construct decimal models Read and write decimals through hundredthousandths in both standard and expanded forms Read and write whole through trillions in both standard and expanded forms Compare and order decimals through hundredthousandths Add decimals Subtract decimals Round and estimate decimals and whole How do mathematical operations with decimals and whole apply to the real world? How does measuring elapsed time apply to the real world? Multiplying & Dividing Whole Numbers and Decimal (Week 6, 4 Multiply whole Multiply decimals Divide whole Dividing decimals Estimate products and quotients Exponents Apply the order of operations to simplify exponents, Estimate products of containing decimals, Estimate quotients of containing decimals, Solve multiplication problems involving whole through the thousands, Solve How can students apply their knowledge of multiplying and dividing whole and decimals to their daily lives? What are the benefits of estimating instead of calculating?

2 Should multiplication problems involving decimals and whole, Solve multiplication problems involving decimals through the thousandths place, Divide decimals by whole (tens, hundreds, thousands), Divide decimals by decimals (tenths, hundredths, thousandths) Patterns and Algebraic Thinking (Week 14, 3 Patterns and number sense Discovering a Pattern Order of operations Variables and expressions Writing variable expressions next term in a number pattern Write rules for number patterns Solve problems using patterns value of expression using the order of operations Compare values of expressions (less than, greater than, equal) Evaluate variable expressions Describe variable expressions with word phrases Identify and use the order of operations (PEMDAS) Where are patterns used in your life? Probability (Week 19, 3 Fair and unfair games Simple probability with Determine whether a game What is probability?

3 Should coins, dice, and cards Theoretical and experimental probability is fair or unfair probability of events that involve coins, dice, and cards Determine the theoretical probability of an event experimental probability of an event after simulation What determines fair and unfair? Investigating Fractions (Week 21, 4 Prime factorization Greatest common factor Fraction models Equivalent fractions Mixed Improper fractions Least common multiple Comparison of fractions Fractions and decimals Adding & Subtracting fractions Multiplying & Dividing Fractions Use factor trees How do Find common mathematical and greatest operations with common factors fractions apply Round fractions to your life? Find equivalent fractions Write fractions in simplest form Write improper fractions Write mixed Least Common Multiple Compare and order fractions Write fractions as decimals Add fractions and mixed with like and unlike denominators Subtract fractions and mixed with like and unlike denominators Multiply fractions and mixed Divide fractions and mixed

4 Should Ratios, Proportions, and Percents (Week 28, 4 Exploring ratios Equal Ratios Unit Rates Scale Drawings Percent Sense Percent,fraction,decimal relationships Estimating with Percents Data and circle graphs Problem Solving Find a percent of number Understand the meaning of ratios Express a ratio with fraction bars, colons, and the word "to" Write equal ratios Find unit rates Solve and recognize proportions Learn and use problem solving strategies Model percents, Interchange fractions, decimals, and percents as written values, Estimate percents using mental math, Find a percent of a number using proportions, What is the relationship among decimals, fractions, and percents? Geometry (Week 30, 4 Points (points, noncollinear, collinear) Lines (line segments, rays, lines, parallel, perpendicular, skew) Planes Angles (acute, obtuse, straight, right, vertex, sides, legs, complementary, supplementary, adjacent, congruent) Triangles (acute, obtuse, right, equilateral, isosceles, scalene) Quadrilaterals (square, rectangle, parallelogram, rhombus, trapezoid) Polygons (convex, concave, up to 10 sides) Identify points on a plane Identify the difference between collinear and noncollinear sets of points Draw a line segment, ray, line, parallel lines, perpendicular lines Identify a line segment, ray, line, parallel lines, perpendicular lines Know what the How is geometry used in everyday life? What are the basic building blocks of geometry?

5 Should Circles (radius, diameter, chord) Line symmetry arrow and endpoint represent on a line, line segment, and ray Define a plane Identify a picture of a plane Identify the 4 types of angles Know that angles are made up of 2 rays Know where and what the vertex of an angle is Draw the 4 types of angles Name and label angles appropriately Use a protractor to help identify angle types Use a protractor to measure an angle Define complementary and supplementary angles complement and supplement of a given angle Define adjacent angles Draw adjacent angles Name triangles with 2 names (sides, angles) Draw different types of triangles Know that the sum of the angles of a triangle is 180 degrees Find 1 missing angle of a triangle when

6 Should given the other 2 Identify 5 types of quadrilaterals Know that the sum of the angles of a quadrilateral is 360 degrees Describe the differences between the types of quadrilaterals Identify polygons by name up to 10 sides Determine whether a polygon is convex or concave Identify the parts of a circle (radius, diameter, chord) radius when given a diameter and vice versa Measurement (Week 34, 4 Metric system Customary system Area of triangles and quadrilaterals Perimeter of polygons Circumference of circles Area of circles Area and perimeter irregular shapes Know the 3 What are the standard units of tools of metric measurement (gram, meter, liter) Know the prefixes for the metric system (kilo-, hecto-, deka-, deci-, measurement? What are the two systems of measure we use? How do you find area and perimeter of different figures? centi-, milli-) Convert within the metric system Know the basic units of the customary system (inches, feet, yards, miles, gallons, pint, quarts, pounds, tons) Do basic

7 Should conversions within the customary system area of a triangle given a formula (1/2bh) area of rectangles, squares, and parallelograms perimeter of polygons (add the sides) circumference of circles given a formula area of circles given a formula area and perimeter of irregular shapes (contain triangles and rectangles) Graphing (Week 37, 2 Organize and Display Data Make a Table Read and understand graphs mean, median, and mode, Organize data into frequency tables, Make a line plot and find the range of the data, Read and understand graphs (bar, line, and circle), Make bar and line graphs, Recognize misleading line graphs What is the best way to display data? Integers (Week 37, 2 Negative Opposites Use a number What are line to graph integers? integers How is a number Graph in all four line changed to quadrants on a show integers? coordinate plane

8 Should Compare and order integers Identify an integer's opposite Atlas Curriculum Mapping, Version Copyright 2009, Rubicon