HADDON TOWNSHIP MATHEMATICS GRADE FOUR

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1 HADDON TOWNSHIP MATHEMATICS GRADE FOUR The fourth grade mathematics curriculum provides developmentally appropriate mathematics experiences that reflect New Jersey Core Curriculum Content Standards for Mathematics. As fourth grade students experience mathematics through the Everyday Math program, they develop skills in numeration and order, measures and measurement, geometry and spatial sense, and patterns, functions, and sequences rules. They will also begin to explore data and chance, and gain experience with concrete problems that arise in the daily life of children. ESSENTIAL LEARNINGS: All fourth grade mathematics students will demonstrate an understanding of the following NJ Core Curriculum Content Strands... Number and Numerical Operations (NJ 4.1) Develop number sense and perform standard numerical operations and estimations on all types of numbers in a variety of ways Geometry and Measurement (NJ 4.2) Develop spatial sense and the ability to use geometric properties, relationships, and measurements to model, describe and analyze phenomena Patterns and Algebra (NJ 4.3) Represent and analyze relationships among variable quantities and solve problems involving patterns, functions, and algebraic concepts and processes Data Analysis, Probability, and Discrete Mathematics (NJ 4.4) Develop an understanding of the concepts and techniques of data analysis, probability, and discrete mathematics, and will use them to model situations, solve problems, and analyze and draw appropriate inferences from data Mathematical Processes (NJ 4.5) Use mathematical processes of problem solving, communication, connections, reasoning, representations, and technology to solve problems and communicate mathematical ideas New Jersey Core Curriculum Content Standards are indicated in parentheses CHARACTERISTICS OF EFFECTIVE LEARNERS: All fourth grade students will demonstrate growth in the development of the following characteristics of effective learners: Trustworthiness, demonstrated by the ability to Be honest in words and actions Keep promises Stand up for beliefs and do what is right Be a good friend Respect, demonstrated by the ability to Treat others the way you would want to be treated Be polite and courteous Treat others well even if they look, act, or believe differently than you do Responsibility, demonstrated by the ability to Do what you are supposed to do Think about how your actions will affect others Always try to do your best Fairness, demonstrated by the ability to Play by the rules Take turns and share Try to see the other person s side Speak up if you know something is unfair Caring, demonstrated by the ability to Be kind with your words and actions Help others Think about other people s feelings and needs Be thankful for what others do for you Citizenship, demonstrated by the ability to Cooperate with others Obey rules and laws Do your best to make your school and neighborhood better Help protect the Earth Everyday Mathematics Fourth Grade End of Unit Skills for Assessment

2 Unit 1: Naming and Constructing Geometric Figures - demonstrate automaticity with addition facts - describe a line segment and a line - compare and contrast plane figures - draw quadrangles with parallel line segments - explain the properties of polygons - draw a quadrangle with 1 right angle - construct circles with a compass - demonstrate automaticity with subtraction facts - point out examples of line segments, lines, rays, right angles, and parallel line segments in the classroom - draw geometric figures - rhombus, right angle, hexagon, parallel line segments, trapezoid, and triangle - solve basic addition and subtraction facts - draw parallel and intersecting lines and line segments - name lines and rays - name polygons - identify the properties of a polygon Unit 2: Using Numbers and Organizing Data - demonstrate automaticity with extended addition facts - give equivalent names for whole numbers - identify the value of digits in whole numbers - identify places in whole numbers and the values of the digits in those places - demonstrate automaticity with basic addition facts - identify the maximum, minimum, range, and mode of a data set - solve multidigit addition problems - use data landmarks and a bar graph to draw conclusions - solve multidigit subtraction problems - draw a polygon. Mark the right angles. - explain whether or not a given polygon is a parallelogram - construct a bar graph Unit 3: Multiplication and Division; Number Sentences and Algebra - use rules to complete "What's My Rule?" tables - use numerical expressions involving one or more of the basic four operations to give equivalent names for whole numbers - estimate reasonable solutions for whole-number addition and subtraction problems - use conventional notation to write multiplication and division number sentences - solve multidigit addition and subtraction problems - use a map scale to estimate distances - use and explain a strategy for solving an addition number - determine whether number sentences are true or false - demonstrate proficiency with basic division facts - use and explain a strategy for solving open number sentences - explain and provide examples for the meaning of factor, multiple, and product - fill in missing Fact Triangle numbers - make a true sentence by filling in a missing number - make a true sentence by inserting parentheses - use a bar graph to find the median, range, and mode of a data set - solve addition and subtraction number stories - name factors of a number Unit 4: Decimals and their Uses - identify the values of digits in whole numbers

3 - identify the values of decimal digits - compare decimals through hundredths - estimate sums of decimals and explain the estimation strategy - identify data landmarks - write decimals through hundredths - measure line segments to the nearest centimeter - compare decimals through thousandths - demonstrate automaticity with multiplication facts - write 1-, 2-, and 3- place decimals - insert > or < to make true number sentences - order decimals - write numbers between two whole numbers - measure and draw line segments to the nearest ½ centimeter - write factors and multiples - add and subtract decimals - solve open sentences Unit 5: Big Numbers, Estimation, and Computation - explain how to use basic facts to compute fact extensions - determine whether a number sentence is true or false - explain how estimation was used to solve addition problems - use the Distributive Property of Multiplication over Addition to find partial products - use the partial-products algorithm to multiply a 1-digit number by a 2-digit number - estimate reasonable solutions to whole-number multiplication problems - demonstrate automaticity with basic multiplication facts - use extended multiplication facts in a problem-solving situation - describe numeric patterns - compare numbers up to 1 billion - describe the strategy used to estimate the sum of addition problems - estimate sums - multiply multidigit whole numbers - add and subtract decimals - measure to the nearest ¼ inch and 0.5 centimeter - multiply using "What's My Rule?" tables Unit 6: Division: Map Reference Frames; Measures of Angles - write number models to represent number stories - solve open sentences involving multiplication and division facts - solve division problems and number stories with 1-digit divisors and 2-digit dividends - solve decimal addition and subtraction problems - create a bar graph - draw angles less than or greater than 90º - identify places in decimals and the values of the digits in those places - compare coordinate grid systems - solve multidigit multiplication number stories - solve problems involving the division of multidigit whole numbers by 1-digit divisors - explain and show how parentheses can be used when writing a number model for a number story - solve an umber story and explain how to show the remainder - solve division number stories; interpret remainders - divide multidigit numbers by 1-digit divisors; express remainders as fractions - multiply multidigit number stories and compare them - classify and measure angles - plot points on a coordinate grid - insert parentheses - round numbers

4 Unit 7: Fractions and Their Uses: Chance and Probability - explain that fractions are equal parts of a whole - solve "fraction-of" problems - use a basic probability term to describe the likelihood of an event - explain the relationship between a whole and its fractional parts - use pattern blocks to solve fraction addition problems - estimate the measure of an angle - describe a method for determining fraction equivalency - rename tenths and hundredths as decimals - compare fractions and explain strategies - compare and order fractions - express the probability of an event as a fraction - predict the outcome of an experiment and test the predictions using manipulatives - write equivalent decimals for fractions with denominators of 10 or 100 and write equivalent fractions for decimals - write equivalent fractions - name fractions of regions or collections; find the ONE - calculate the expected probability of an event - plot coordinates on a grid - multiply multidigit numbers - divide multidigit numbers Unit 8: Perimeter and Area - rename fractions with denominators of 10 and 100 as decimals and percents - use data to create a line graph - count squares and half squares to find the area of a polygon - count unit squares and fractions of unit squares to estimate the area of an irregular figure - find the perimeter of a figure - solve fraction addition and subtraction problems - describe a strategy for finding and comparing the area of a square and polygon - calculate the probability of an event - explain the difference between area and perimeter - write equivalent decimals for fractions with denominators of 10 or 100 and write equivalent fractions for decimals - find the area of a polygon drawn on a grid - draw a rectangle with a given area and perimeter - solve number stories involving area - add and subtract fractions - predict the outcomes of a spinner experiment - express the probability of a block-drawing event as a fraction Unit 9: Fractions, Decimals, and Percents - find equivalent fractions - rename fourths, fifths, tenths, and hundredths as decimals and percents - solve "fraction of" problems - divide a multidigit whole number by a 1-digit divisor - interpret a map scale - draw conclusions from a data representation - estimate the product of a whole number and a decimal - estimate the quotient of a decimal divided by a whole number - rename fractions as equivalent decimals and percents - solve "percent-of" problems - write a ratio as a fraction and a percent, interpret a percent - fill in a table of equivalent fractions, decimals, and percents - use a calculator to rename fractions as decimals - use a calculator to rename fractions as percents - shade a percent of a region. Write the percent as a fraction and as a decimal.

5 - find the area and perimeter of a rectangle, parallelogram, and a triangle - insert parentheses to make number sentences true Unit 10: Reflections and Symmetry - plot points in the first quadrant of a coordinate grid - compare fractions - sketch and describe a reflection - describe a pattern and use it to solve problems - identify and sketch an example of a reflection and identify examples of translations and rotations - express the probability of an event as a fraction - solve addition and subtraction problems involving fractions and explain solution strategies - write equivalent decimals and percents for fractions - draw and identify different types of angles - draw shapes with no, one, two, or multiple lines of symmetry - identify a translation - identify a rotation - use a transparent mirror to draw the reflection - use a transparent mirror to draw the other half of the figure across the line of symmetry - add and subtract fractions Unit 11: 3-D Shapes, Weight, Volume, and Capacity - describe a translation - describe a rectangular prism - find multiples of whole numbers less than 10 - solve multiplication and division facts - find the volume of stacks of centimeter cubes - identify an example of a rotation - describe the relationship among U.S. customary units of length and among metric units of length - round numbers to the nearest tenth and explain how - solve problems involving equivalent measures - name the geometric solid - identify pentagonal pyramid faces - mark the vertices of a triangular prism - identify rectangular pyramid edges - name the base of a pyramid - describe a triangular prism - find the volume of a stack of centimeter cubes - make reasonable weight estimates - use probability terms to describe events Unit 12: Rates - compare integers between 100 and describe a rule for a pattern and use the rule to solve problems - use given data to create a line graph - insert grouping symbols to make number sentences true - use scaling to model multiplication and division - determine equivalencies of quantities measured in different U.S. customary units of capacity - solve rate problems - solve problems involving unit prices, rounding answers to the nearest tenth of a cent - find factors and factor pairs - order integers - find equivalent capacities - calculate volume - solve open sentences