# FAIRVIEW ELEMENTARY SCHOOL

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1 FAIRVIEW ELEMENTARY SCHOOL Subject Area: MATH CURRICULUM MAP Teacher: Kathy Thompson Date: Month Unit Core Content Assessment Type Resources Aug. Unit 1: USE WHOLE NUMBERS Ch. 1 Place Value, Addition, & Subtraction Ch. 2 Multiply Whole Numbers MA Students will: number lines, expanded form, symbols) to represent whole numbers (0 to 99,999,999); number lines, symbols) to describe commonly-used fractions, mixed numbers and decimals through thousandths; apply these numbers to represent real-world problems and explain how the base-10 number system relates to place value. MA Students will read, write and rename whole numbers, fractions and decimals, and apply to MA Students will compare (<, >, =) and order whole numbers), fractions and decimals, and explain the relationships (equivalence, order) between and among them. MA Students will apply and describe Ch. 1 & 2 Pretest/Posttest

2 Sept. Unit 1: USE WHOLE NUMBERS Ch. 3 Divide by 1-Digit & 2-Digit Numbers Ch. 4 Algebra: Expressions & Equations appropriate strategies for estimating quantities of objects and computational results in real-world MA Students will extend patterns, find the missing term(s) in a pattern or describe rules for patterns (numbers, pictures, tables, words) from DOK 3 MA Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world MA Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints: add, subtract, multiply, and divide whole numbers (less than 100,000,000), using technology where appropriate; add and subtract fractions with like denominators through 16, with sums less than or equal to one and add and subtract decimals through hundredths. MA Students will: Ch. 3 & 4 Pretest/Posttest

3 number lines, expanded form, symbols) to represent whole numbers (0 to 99,999,999); number lines, symbols) to describe commonly-used fractions, mixed numbers and decimals through thousandths; apply these numbers to represent real-world problems and explain how the base-10 number system relates to place value. MA Students will model verbal descriptions of real-world and mathematical problems using a variable or a missing value in an expression. MA Students will model real-world and mathematical problems with simple number sentences (equations and inequalities) with a variable or missing value (e.g., 4 = 2 x N, + 5 > 14) and apply simple number sentences to solve mathematical and real-world MA Students will use the commutative properties of addition and multiplication, the associative properties of addition and multiplication, the identity properties of addition and multiplication and the zero property of multiplication in

4 Oct. Unit 2: USE DECIMALS Ch. 5 written and mental computation. MA Students will skip-count forward and backward. MA Students will describe functions (input-output) through pictures, tables, or words and will construct tables to analyze functions based on real-world or mathematical MA Students will determine an output value or an input value for a function rule given the other value. MA Students will: number lines, expanded form, symbols) to represent whole numbers (0 to 99,999,999); number lines, symbols) to describe commonly-used fractions, mixed numbers and decimals through thousandths; apply these numbers to represent real-world problems and explain how the base-10 number system relates to place value. MA Students will: number lines, expanded form, Ch. 5, 6, & 7 Pretest/Posttest

5 Understand Decimals Ch. 6 Add and Subtract Decimals Ch. 7 Multiply Decimals symbols) to represent whole numbers (0 to 99,999,999); number lines, symbols) to describe commonly-used fractions, mixed numbers and decimals through thousandths; apply these numbers to represent real-world problems and explain how the base-10 number system relates to place value. MA Students will read, write and rename whole numbers, fractions and decimals, and apply to MA Students will compare (<, >, =) and order whole numbers), fractions and decimals, and explain the relationships (equivalence, order) between and among them. MA Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world MA Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints: add, subtract, multiply, and

6 divide whole numbers (less than 100,000,000), using technology where appropriate; add and subtract fractions with like denominators through 16, with sums less than or equal to one and add and subtract decimals through hundredths. MA Students will multiply decimals through tenths Nov. Unit 2: USE DECIMALS *Ch. 8 Divide Decimals by Whole Numbers Unit 3: DATA & GRAPHING Ch. 9 Data & Statistics Ch. 10 Make Graphs MA Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs). DOK 3 MA Students will collect data (e.g., tallies, surveys) and explain how the skills apply in real-world and mathematical MA Students will construct data displays (pictographs, bar graphs, line plots, line graphs, Venn diagrams, tables). MA Students will determine and apply the mean, median, mode and range of a set of data. MA Students will describe and give examples of the process of using data to answer questions (e.g., Ch. 8, 9, & 10 Pretest/Posttest

7 pose a question, plan, collect data, organize and display data, interpret data to answer questions). MA Students will identify and graph ordered pairs on a positive coordinate system scaled by ones, twos, threes, fives or tens; locate points on a grid; and apply graphing in the coordinate system to solve real-world Dec. Unit 4: NUMBER THEORY AND FRACTION CONCEPTS Ch. 11 Number Theory Ch. 12 Fraction Concepts MA Students will identify and determine composite numbers, prime numbers, multiples of a number, factors of a number and least common multiples (LCM), and will apply these numbers to solve real-world MA Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints: add, subtract, multiply, and divide whole numbers (less than 100,000,000), using technology where appropriate; add and subtract fractions with like denominators through 16, with sums less than or equal to one and add and subtract decimals through hundredths. MA Ch. 11 & 12 Pretest/Posttest

8 Jan. Unit 5: FRACTION OPERATIONS Ch. 13 Add and Subtract Fraction *Ch. 14 Add and Subtract Mixed Numbers Students will: number lines, expanded form, symbols) to represent whole numbers (0 to 99,999,999); number lines, symbols) to describe commonly-used fractions, mixed numbers and decimals through thousandths; apply these numbers to represent real-world problems and explain how the base-10 number system relates to place value. MA Students will compare (<, >, =) and order whole numbers), fractions and decimals, and explain the relationships (equivalence, order) between and among them. MA Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world MA Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints: add, subtract, multiply, and divide whole numbers (less than 100,000,000), using technology Ch. 13, 14, & 15 Pretest/Posttest

9 *Ch. 15 Multiply and Divide Fractions Feb. Unit 6: RATIOS, PERCENTS, AND PROBABILITY *Ch. 16 Ratios & Percents Ch. 17 Probability Unit 7: GEOMETRY AND ALGEBRA Ch. 18 Geometric Figures where appropriate; add and subtract fractions with like denominators through 16, with sums less than or equal to one and add and subtract decimals through hundredths. MA Students will compare (<, >, =) and order whole numbers), fractions and decimals, and explain the relationships (equivalence, order) between and among them. MA Students will determine all possible outcomes of an activity/event with up to 12 possible outcomes. MA Students will determine the likelihood of an event and the probability of an event (expressed as a fraction). MA Students will collect data (e.g., tallies, surveys) and explain how the skills apply in real-world and mathematical MA Students will describe and provide examples of basic geometric elements and terms [points, segments, lines (perpendicular, parallel, intersecting), rays, angles (acute, right, obtuse), sides, edges, faces, bases, vertices, radius, diameter] and will apply these elements to solve real-world and mathematical MA Ch. 16, 17, & 18 Pretest/Posttest 4H Project: Prepare and 5 minute demonstration of an activity involving math concept. Present to judges in March.

10 Students will apply standard units to measure length (to the nearest eighth-inch or the nearest centimeter) and to determine: weight (ounce, pound; gram, kilogram); perimeter; area (figures that can be divided into rectangular shapes); time (nearest minute); temperature (Fahrenheit and Celsius) and angle measures (nearest degree). MA Students will describe and provide examples of basic two-dimensional shapes [circles, triangles (right, equilateral), all quadrilaterals, pentagons, hexagons, octagons] and will apply these shapes to solve MA Students will identify and describe congruent and similar figures in MA Students will describe and provide examples of line symmetry in problems or will apply line symmetry to construct a geometric design. DOK 3 MA Students will choose and use appropriate tools (e.g., protractor, meter stick, ruler) for specific tasks and apply skills to solve

11 March Unit 7: GEOMETRY AND ALGEBRA Ch. 19 Plane and Solid Figures Ch. 20 Patterns Ch. 21 Integers and Coordinate Plane MA Students will use measurements to identify, describe, sort and compare attributes of objects and apply these to solve real-world and mathematical MA Students will describe and provide examples of basic two-dimensional shapes [circles, triangles (right, equilateral), all quadrilaterals, pentagons, hexagons, octagons] and will apply these shapes to solve MA Students will describe and provide examples of basic geometric elements and terms [points, segments, lines (perpendicular, parallel, intersecting), rays, angles (acute, right, obtuse), sides, edges, faces, bases, vertices, radius, diameter] and will apply these elements to solve real-world and mathematical MA Students will describe and provide examples of basic three-dimensional objects (spheres, cones, cylinders, pyramids, cubes, triangular and rectangular prisms), will identify three-dimensional objects from two-dimensional representations (nets) and will apply the attributes to solve MA Ch. 19, 20, & 21 Pretest/Posttest 4H Project: Prepare and 5 minute demonstration of an activity involving math concept. Present to judges in March.

12 April Unit 8: MEASUREMENT Ch. 22 Students will identify 90º rotations, reflections or translations of basic shapes within a plane. DOK 1 MA Students will extend patterns, find the missing term(s) in a pattern or describe rules for patterns (numbers, pictures, tables, words) from DOK 3 MA Students will skip-count forward and backward. MA Students will identify and graph ordered pairs on a positive coordinate system scaled by ones, twos, threes, fives or tens; locate points on a grid; and apply graphing in the coordinate system to solve real-world MA Students will determine an output value or an input value for a function rule given the other value. MA Students will model real-world and mathematical problems with simple number sentences (equations and inequalities) with a variable or missing value (e.g., 4 = 2 x N, + 5 > 14) and apply simple number sentences to solve mathematical and real-world MA Students will estimate weight, length, perimeter, area, angle measures and time using appropriate units of Ch. 22, 23, & 24 Pretest/Posttest

13 Customary and Metric Measurements Ch. 23 Perimeter Ch. 24 Area and Volume measurement. MA Students will convert units within the same measurement system [U.S. customary (inches, feet, yards, miles; ounces, pounds, tons), metric (millimeters, centimeters, meters, kilometers; grams, kilograms), money, or time] and use the units to solve MA Students will apply standard units to measure length (to the nearest eighth-inch or the nearest centimeter) and to determine: weight (ounce, pound; gram, kilogram); perimeter; area (figures that can be divided into rectangular shapes); time (nearest minute); temperature (Fahrenheit and Celsius) and angle measures (nearest degree). MA Students will determine elapsed time. MA Students will describe, define, give examples of and use to solve real-world and mathematical problems nonstandard and standard (U.S. Customary, metric) units of measurement. DOK 3 MA Students will describe and provide examples of basic geometric elements and terms [points, segments, lines (perpendicular,

14 May (From Nov., Jan., & Feb. *Introdu ce briefly, then review in May) Review Ch. 8 Divide by Decimals Ch. 14 Add & Subtract Mixed Numbers Ch. 15 Multiply & Divide Fractions parallel, intersecting), rays, angles (acute, right, obtuse), sides, edges, faces, bases, vertices, radius, diameter] and will apply these elements to solve real-world and mathematical Ch. 16 Ratios & Percents

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