unit 1: numeration total time (with summative assessment ... maps/math 4th grade 2013.pdf · -...

Kirsten Orlovsky Grade 4 Mathematics 2013-2014 Unit 1: Numeration Total Time (with summative assessment): 9 days Performance Assessment: SWBAT analyze the data from the land area in ten different countries, and write the populations in different word forms, and combine them using basic operations. Lesson Topic/ Mastery?

Objective Resources Assessment Standards Unit Concept Timeline

1. Thousands Master

Students will represent numbers with place-value blocks and number lines. They will write numbers in standard form, expanded form, and word form.

1. enVision Math book (student and teacher editions) 2. Pearson interactive learning videos 3. Math Manipulatives 4. Interactive Center activities

Formative Assessments: - Student responses to teacher questions/problems - In-class assignments and quizzes -Leveled homework Summative Assessment: - Chapter test

4.NBT.2 Read and write multi-digit whole numbers using base-ten numerals, number names and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place using >, = and < symbols to record the results of comparisons.

2- Place Value 1 day

2. Millions Master

Students will represent numbers in millions using a place-value chart. They will write numbers in expanded form, using periods to help write numbers in word form.

(See above) (See above) 4.NBT.2 2- Place value 1 day

3. Comparing and Ordering Whole Numbers Teach

Students will apply their knowledge of place value to compare and order numbers.

(See above) (See above) 4.NBT.2 2-Place Value 1 day

4. Rounding Whole Numbers Teach

Students will show how to use place value to round whole numbers.

(See above) (See above) 4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place.


5. Using Money to Understand Decimals Teach

Students will use place-value charts to read, write and compare decimals in tenths and hundredths using money.

(See above) (See above) Prepares for 4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volume, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

2-Place Value 1 day

6. Counting Money and Making Change Teach

Students will convert a collection of coins and bills into a total amount and make change.

(See above) (See above) Prepares for 4.MD.2 2-Place Value 1 day

7. Problem Solving: Make an Organized List Teach

Students will systematically find and record all possible outcomes for a situation.

(See above) (See above) 4.OA.3 Solve multi-step word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.


Kirsten Orlovsky Grade 4 Mathematics 2013-2014 Unit 2: Adding and Subtracting Whole Numbers Total Time (with summative assessment): 9 days Performance Assessment: SWBAT analyze data and plan a route for campers using a map and van information. Lesson Topic/ Mastery?


1. Using Mental Math to Add and Subtract Master

Students will apply a variety of methods to add and subtract whole numbers mentally.



4.OA.3

1- Addition and Subtraction

1 day

2. Estimating Sums and Differences of Whole Numbers Teach

Students will round whole numbers to estimate sums and differences.

(See above) (See above) 4.NBT.3; 4.OA.3 1- Addition and Subtraction

1 day

3. Problem Solving: Missing or Extra Information Teach

Students will identify what information in a problem is not needed or not present.

(See above) (See above) 4.OA.3 1- Addition and Subtraction

1 day

4. Adding Students will add numbers (See above) (See above) 4.NBT.4 1- Addition and 1 day

Whole Numbers Master

to hundred thousands with and without regrouping

Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Subtraction

5. Subtracting Whole Numbers Master

Students will subtract numbers to thousands with and without regrouping.

(See above) (See above) 4.NBT.4 1- Addition and Subtraction

1 day

6. Subtracting Across Zeros Master

Students will subtract numbers with zeros to thousands.


1 day

7. Problem Solving: Draw a Picture and Write an Equation Teach

Students will use a picture or diagram to translate an everyday situation into a number sentence or equation


1 day

Unit 3: Multiplication Meanings and Facts Total Time (with summative assessment): 9 days Performance Assessment: SWBAT examine data about different rock collections and answer questions pertaining to the data. Lesson Topic/ Mastery?


1. Meanings of Multiplication Teach

Students will recognize multiplication as repeated addition of equal groups used in arrays and comparisons.

1. enVision Math book (student and teacher editions) 2. Pearson interactive learning videos

Formative Assessments: - Student responses to teacher questions/problems - In-class assignments and quizzes -Leveled homework

4.OA.1 Interpret a multiplication equation as a comparison. 4.OA.2 Multiply or divide to solve word problems involving

3- Multiplication and Division

1 day

Kirsten Orlovsky Grade 4 Mathematics 2013-2014

3. Math Manipulatives 4. Interactive Center activities

Summative Assessment: - Chapter test

multiplicative comparison.

2. Patterns for Facts Teach

Students will use patterns to find products with factors of 2, 5 and 9.

(See above) (See above) 4.OA.4 Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is a prime or composite.


1 day

3. Multiplication Properties Master

Students will use multiplication properties to simplify calculations.

(See above) (See above) 4.OA.1 3- Multiplication and Division

1 day

4. 3 and 4 as Factors Master

Students will use the Distributive Property to simplify multiplication problems by rewriting one of the factors as a sum of two numbers.


1 day

5. 6, 7 and 8 as Factors Master

Students will use the Distributive Property and other regrouping properties to simplify multiplication involving 6s, 7s and 8s by rewriting on of the factors


1 day

6. 10, 11 and 12 as Factors Master

Students will use patterns as aids to mastery of facts and multiples of 10, 11 and 12.


1 day

7. Problem Solving: Draw a

Students will draw pictures to problem solve

(See above) (See above) 4.OA.1


1 day

Picture and Write an Equation Teach

multiplication situations and use their pictures to write number sentences.

4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison.

Unit 4: Division Meanings and Facts Total Time (including summative assessment): 7 days Performance Assessment: SWBAT examine data given about boxes of materials, and create their own table, using multiplication to decide how many students will be in each group. Lesson Topic/ Mastery?


1. Meanings of Division Teach

Students will use and draw models to solve division problems.



4.NBT.6 Find whole-number quotients and reminders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays and/or area models


1 day

2. Relating Multiplication and Division Teach

Students will use arrays to write and complete multiplication and division fact families.

(See above) (See above) 4.NBT.6 3- Multiplication and Division

1 day

3. Special Quotients Teach

Students will use multiplication facts with 0 and 1 to learn about special division rules with 1 and 0.


1 day

Kirsten Orlovsky Grade 4 Mathematics 2013-2014 4. Using Multiplication Facts to Find Division Facts Master

Students will identify multiplication facts related to division facts in order to solve division problems.



1 day


Students will draw pictures and write related number sentences to solve problems.


1 day

Unit 5: Multiplying by 1-Digit Numbers Total Time (including summative assessment): 10 days Performance Assessment: SWBAT compare data about bike tires, and use estimation to decipher which store has the best value of tires. Lesson Topic/ Mastery?


1. Multiplying by Multiples of 10 and 100 Master

Students will use basic multiplication facts and number patterns to multiply by multiples of 10 and 100.

1. enVision Math book (student and teacher editions) 2. Pearson interactive learning videos 3. Math Manipulatives 4. Interactive Center


4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays,


1 day

activities and/or area. 2. Using Mental Math to Multiply Master

Students will use compatible numbers with adjustment, breaking apart, and other strategies to multiply numbers mentally.

(See above) (See above) 4.NBT.5 4.NBT.3 4.OA.3


1 day

3. Using Rounding to Estimate Teach

Students will use compatible numbers and rounding to estimate solutions to multiplication problems.

(See above) (See above) 4.NBT.5 4.NBT.3


1 day

4. Problem Solving: Reasonableness Check

Students will check for reasonableness by making sure their calculations answer the questions asked and by suing estimation to make sure the calculation was performed correctly.

(See above) (See above) 4.OA.3 4.NBT.5 4.NBT.3


1 day

5. Using an Expanded Algorithm Teach

Students will record multiplication using an expanded algorithm.


1 day

6. Multiply 2-Digit by 1-Digit Numbers Master

Students will multiply 2-digit numbers by 1-digit numbers using paper-and-pencil methods.


1 day

Kirsten Orlovsky Grade 4 Mathematics 2013-2014 7. Multiplying 3-Digit by 1-Digit Numbers Master

Students will use the standard algorithm to multiply 3-digit by 1-digit numbers.


1 day

8. Problem Solving: Draw a Picture and Write and Equation Teach

Students will solve problems using the problem-solving strategy Draw a Picture and Write an Equation.

(See above) (See above) 4.OA.1 4.OA.2 4.NBT.5


1 day

Unit 6: Patterns and Expressions Total Time (including summative assessment): 6 days Performance Assessment: SWBAT complete tables using number patterns and multiplication. Lesson Topic/ Mastery?


1. Variables and Expressions Teach

Students will understand how to work with variables in a table



4.OA.3

1- Addition and Subtraction 3- Multiplication and Division

1 day

2. Addition and Subtraction Expressions

Students will study completed tables to determine a rule and write an expression

(See above) (See above) 4.OA.5 Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not

1- Addition and Subtraction

1 day

Teach explicit in the rule itself. 3. Multiplication and Division Expressions Teach

Students will study completed tables to determine a rule and write an expression.


1 day

4. Problem Solving: Use Objects and Reasoning Teach

Students will solve problems by using objects to show the action.

(See above) (See above) 4.OA.3 1- Addition and Subtraction 3- Multiplication and Division

1 day

Unit 7: Multiplying by 2-Digit Numbers Total Time (including summative assessment): 9 days Performance Assessment: SWBAT multiply costs of different textbooks (all two digit numbers) in order to find the cost of books for the entire class. Lesson Topic/ Mastery?


1. Using Mental Math to Multiply 2-Digit Numbers Master

Students will discover and understand patterns used to multiply by 10 and 100. They use these patterns to solve problems involving multiples of 10 and 100.



4.NBT.5


1 day

2.Estimating Products Teach

Students will use rounding and compatible numbers to estimate solutions to multiplication problems.


1 day

Kirsten Orlovsky Grade 4 Mathematics 2013-2014 3. Arrays and an Expanded Algorithm Teach

Students will use arrays and expanded algorithms to multiply two-digit numbers by two-digit numbers to find the product.

(See above) (See above) 4.NBT.5


1 day

4. Multiplying 2-Digit Numbers by Multiples of Ten Master

Students will use grids and patterns to multiply 2-digit numbers and multiples of 10.


1 day

5. Multiplying 2-Digt by 2-Digit Numbers Master

Students will use partial products to multiply two-digit numbers by two-digit numbers and find the products.


1 day

6. Special Cases Teach

Students will learn to multiply greater numbers.


1 day

7. Problem Solving: Two- Question Problems Teach

Students will solve two-question problems.


1 day

Unit 8: Dividing By 1-Digit Divisors Total time (including summative assessment): 12 days Performance Assessment: SWBAT analyze data and figure out how to display student work in a hallway using equal groups and division. Lesson Topic/ Mastery?


1. Using Mental Math to Divide

Students will use basic facts and patterns of zeros to solve division problems

1. enVision Math book (student and teacher editions)

Formative Assessments: - Student responses to teacher

4.NBT.6 Find whole-number quotients and remainders with up to four-


1 day

Check

with 3-digit dividends and 1-digit divisors.

2. Pearson interactive learning videos 3. Math Manipulatives 4. Interactive Center activities

questions/problems - In-class assignments and quizzes -Leveled homework Summative Assessment: - Chapter test

digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

2. Estimating Quotients Check

Students will use compatible numbers and rounding to estimate quotients.


1 day

3. Dividing with Remainders Master

Students will divide whole numbers by 1-digit divisors resulting in quotients with remainders.

(See above) (See above) 4.OA.3 4.NBT.6


1 day

4. Connecting Models and Symbols Check

Students will use place value to understand the algorithm of long division.


1 day

5. Dividing 2-Digit by 1-Digit Numbers Master

Students will use the standard algorithm to divide two-digit numbers by a one-digit number.


1 day

6. Dividing 3-Digit by 1-Digit Numbers. Master

Students will use the standard algorithm to divide 3-digit numbers by 1-digit numbers.


1 day

7. Dividing Where to Start Dividing Master

Students will use the standard algorithm to divide 3-digit numbers by 1-digit numbers and properly decide where to begin dividing.


1 day

8. Factors Master

Students will learn how to factor whole numbers.


1 day

9. Prime and Composite

Students will learn to identify prime and


1 day

Kirsten Orlovsky Grade 4 Mathematics 2013-2014 Numbers Teach

composite numbers.

10. Problem Solving: Multiple-Step Problems Teach

Students will identify the hidden question in a multistep problem. They use the answer to that hidden question to solve the original problem.


1 day

Unit 9: Lines, Angles, and Shapes Total Time (including summative assessment): 9 days Performance Assessment: SWBAT classify geometric data based on shapes given for an art project. Lesson Topic/ Mastery?


1. Points, Lines and Plane Teach

Students will identify and describe points, lines and planes.



4.G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

5- Geometry 1 day

2. Line Segments, Rays, and Angles Teach

Students will learn geometric terms to describe parts of lines and types of angles.

(See above) (See above) 4.G.1 4.MD.5 Recognize angles as geometric shapes tat are formed wherever two rays share a common

5- Geometry 1 day

endpoint, and understand concepts of angle measurement: a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles. b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

3. Measuring Angles Teach

Students will be able to measure and draw angles.

(See above) (See above) 4.MD.5 4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

5- Geometry 1 day

4. Polygons Teach

Students will learn to identify polygons.

(See above) (See above) 4.G.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

5- Geometry 1 day

5. Triangles Teach

Students will learn to identify and classify triangles.

(See above) (See above) 4.G.2 5- Geometry 1 day

6. Quadrilaterals Teach

Students will learn to identify quadrilaterals.

(See above) (See above) 4.G.2 5- Geometry 1 day

7. Problem Solving: Make Test Generalizations

Students will solve problems by making and testing generalizations.

(See above) (See above) 4.G.2 4.OA.5

5- Geometry 1 day

Kirsten Orlovsky Grade 4 Mathematics 2013-2014 Teach Unit 10: Understanding Fractions Total time (including summative assessment): 11 days Performance Assessment: SWBAT use their knowledge of fractions in order to compare information about a class garden. Lesson Topic/ Mastery?


1. Regions and Sets Check

Students will identify and draw fractional parts of a region and a set, and divide sets to show fractional parts.



Reviews 3.NF.1

6- Fractions and Decimals

1 day

2. Fractions and Division Master

Students will describe and compare fractional parts of whole objects and sets.

(See above) (See above) Prepares for 5.NF.3


1 day

3. Estimating Fractional Amounts Teach

Students will estimate fractional parts of regions and sets. They will estimate fractions for points on the number line.

(See above) (See above) Extends 4.NF.2 Compare two fractions with different numerators and different denominators. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of


1 day

comparisons with symbols >, = or <, and justify the conclusions.

4. Equivalent Fractions Teach

Students will use models and objects to show equivalent fractions.

(See above) (See above) 4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.


1 day

5. Fractions in Simplest Form Teach

Students will express equivalent fractions in simplest form.

(See above) (See above) 4.NF.1 6- Fractions and Decimals

1 day

6. Improper Fractions and Mixed Numbers Teach

Students will identify and write mixed numbers as improper fractions and improper fractions as mixed numbers.

(See above) (See above) 4.NF.3b Decompose a fraction into a sum of fractions with the same denominator in more that one way, recording each decomposition by an equation. Justify decompositions using a visual.


1 day

7. Comparing Fractions Teach

Students will use benchmark fractions to compare fractions with unlike denominators.


1 day

8. Ordering Fractions Teach

Students will use common denominators and equivalent fractions to order fractions with unlike denominators.


1 day

Kirsten Orlovsky Grade 4 Mathematics 2013-2014 9. Problem Solving: Writing to Explain Teach

Students will write to explain whether an answer is correct or not.

(See above) (See above) 4.NF.2 4.NF.1


1 day

Unit 11: Adding and Subtracting Fractions Total time (including summative assessment): 6 days Performance Assessment: SWBAT add and subtract fractions in order to analyze data about baking bread. Lesson Topic/ Mastery?


1. Adding and Subtracting Fractions with Like Denominators Master

Students will add and subtract fractions with like denominators using models and paper and pencil.



4.NF.3 Understand a fraction a/b with a>1 as a sum of fractions 1/b 4.NF.3.a Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. 4.NF.3.d Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.

7- Operations with Fractions

1 day

2. Adding Fractions with

Students will add fractions with unlike denominators

(See above) (See above) Previews 5.NF.1


1 day

Unlike Denominators Master

using models and paper and pencil.

3. Subtracting Fractions with Unlike Denominators Master

Students will understand how to subtract fractions with unlike denominators.

(See above) (See above) Previews 5.NF.1 7- Operations with Fractions

1 day


Students will draw a picture and write an equation to solve a problem.

(See above) (See above) 4.NF.3 4.NF.3.c Add and subtract mixed numbers with like denominators. 4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurement given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.


1 day

Unit 12: Understanding Decimals Total time (including summative assessment): 8 days

Kirsten Orlovsky Grade 4 Mathematics 2013-2014

Performance Assessment: SWBAT examine data about making a clay coaster, and use their knowledge of decimals and fractions in order to figure out its compositions. Lesson Topic/ Mastery?


1. Decimal Place Value Teach

Students will use models and place-value charts to represent decimals to hundredths. They will read and write decimals in expanded, standard and word form.



Prepares for 4.NF.7


1 day

2. Comparing and Ordering Decimals Teach

Students will use models and place-value charts to compare decimals to hundredths. They use greater-than and less-than symbols to order decimal numbers.

(See above) (See above) 4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, = or <, and justify the conclusions.


1 day

3. Fractions and Decimals Teach

Students will understand how to write fractions as decimals and decimals as fractions.

(See above) (See above) 4.NF.5 Express a fraction with a denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. 4.NF.6 Use decimal notation for fractions with denominators 10


1 day

or 100. 4. Fractions and Decimals on the Number line Teach

Students will learn to locate and name fractions and decimals on a number line.

(See above) (See above) 4.NF.5 4.NF.6


1 day

5. Mixed Numbers and Decimals on the Number Line Teach

Students will understand how to graph decimals and mixed numbers on the number line.

(See above) (See above) Extends 4.NF.5 4.NF.6


1 day

6. Problem Solving: Draw a Picture Teach

Students will solve problems using the strategy Draw a Picture.

(See above) (See above) 4.MD.2 3- Multiplication and Division

1 day

Unit 13: Operations with Decimals Total time (including summative assessment): 9 days Performance Assessment: SWBAT add decimals in order to interpret data about combining paint colors to create new colors. Lesson Topic/ Mastery?


1. Rounding Decimals Teach

Students will round two-place decimals numbers to one place or the nearest whole number.



Previews 5.NBT.4 6- Fractions and Decimals

1 day

Kirsten Orlovsky Grade 4 Mathematics 2013-2014 2. Estimating Sums and Differences of Decimals Teach

Students will round decimal numbers to estimate sums and differences.

(See above) (See above) Previews 5.NBT.7


1 day

3. Modeling Addition and Subtraction of Decimals Master

Students will add and subtract decimals in tenths and hundredths using models.

(See above) (See above) Prepares for 5.NBT.7 6- Fractions and Decimals

1 day

4. Adding and Subtracting Decimals Master

Students will estimate and compute the sum or difference of whole numbers and positive decimals to two places.


1 day

5. Multiplying a Whole Number by a Decimal Teach

Students will multiply a decimal number by a whole number.


1 day

6. Dividing a Decimal by a Whole Number Teach

Students will divide a decimal number by a whole number.


1 day

7. Problem Solving: Try, Check and Revise Teach

Students will try a solution, check the solution, and, if not correct, revise the solution, following the same method until the correct solution is determined via checking.

(See above) (See above) 4.MD.2


1 day

Unit 14: Area and Perimeter

Total time (including summative assessment): 11 days Performance Assessment: SWBAT create a quilt using their knowledge of area and perimeter. Lesson Topic/ Mastery?


1. Understanding Area Teach

Students will measure the area of a figure by counting the number of square units that cover a region.



Reviews 3.MD.5

4- Measurement 1 day

2. Area of Squares and Rectangles Master

Students will find the area of rectangles by counting square units or by using a formula.

(See above) (See above) 4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.


3. Area of Irregular Shapes Teach

Students will find the area of irregular shapes.

(See above) (See above) Extends 4.MD.3 4- Measurement 1 day

4. Area of Parallelograms Teach

Students will use the formula for the area of a rectangle in order to find a formula for the area of a parallelogram.


5. Area of Triangles Master

Students will use the relationship between triangles and parallelograms to fund the area of triangles.


6. Perimeter Master

Students will find the perimeter of a polygon by adding the lengths of the sides or by using the formula.

(See above) (See above) 4.MD.3 4- Measurement 1 day

7. Same Perimeter,

Students will compare different rectangles with the

(See above) (See above) Extends 4.MD.3


Kirsten Orlovsky Grade 4 Mathematics 2013-2014 Different Area Teach

same perimeter to discover the change in area.

8. Same Area, Different Perimeter Tech

Students will compare different rectangles with the same area to discover the change in perimeter.


9. Problem Solving: Solve a Simpler Problem and Make a Table Teach

Students will break a problem into smaller, more manageable pieces and find a pattern to fit.

(See above) (See above) 4.OA.5 4- Measurement 1 day

Unit 16: Measurement, Time, and Temperature Total time (including summative assessment): 14 days Performance Assessment: SWBAT use their knowledge of measurement, time and temperature to apply to scenarios of estimating capacity, elapsed time and mass. Lesson Topic/ Mastery?


1. Using Customary Units of Length Master

Students will estimate and measure length by choosing the most appropriate unit of length.

1. enVision Math book (student and teacher editions) 2. Pearson interactive learning videos 3. Math Manipulatives 4. Interactive Center


4.MD.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement


activities equivalents. 2. Customary Units of Capacity Master

Students will estimate fluently with customary capacity units (cups, pints, quarts, and gallons). They will compare the relative sizes of capacity measurements.



3. Units of Weight Master

Students will estimate fluently and measure with units of weight.


4. Changing Customary Units Master

Students will be able to convert between customary units.

(See above) (See above) 4.MD.1 4.MD.2


5. Using Metric Units of Length Teach

Students will estimate and measure length to the nearest centimeter, and choose the most appropriate metric unit for measuring length.


6. Metric Units of Capacity Teach

Students will estimate fluently with millimeters and liters. They will measure capacity using these metric units.


7. Units of Mass Teach

Students will estimate and measure with units of mass- grams and kilograms.

(See above) (See above) 4.MD.1


8. Changing Metric Units Teach

Students will be able to convert between metric units.



9. Units of Time Teach

Students will compare several different units of time and freely convert from one unit of time to another.



10. Elapsed Time Teach

Students will find the difference in time using a beginning and an end time. They will use elapsed time to find a beginning and an end time.


11. Temperature Students will measure (See above) (See above) 4- Measurement 1 day

Kirsten Orlovsky Grade 4 Mathematics 2013-2014 Teach

temperature in degrees Fahrenheit or degrees Celsius.

12. Problem Solving: Work Backward Check

Students will solve problems that require finding the original times, measurements or quantities that lead to a result that is given.

(See above) (See above) 4.MD.2 4.OA.3


Unit 17: Data and Graphs Total time (including summative assessment): 12 days Performance Assessment: SWBAT analyze data in a bar graph and create a table to represent the information. Lesson Topic/ Mastery?


1. Data from Surveys Check

Students will design and use a survey with a sample size that allows accurate predictions to be made about a larger population



Prepares for 6.SP.1

1 day

2. Interpreting Graphs Check

Students will use bar graphs to display data.

(See above) (See above) 1 day

3. Line Plots Check

Students will learn and understand how to draw line plots, interpret points and recognize outliers.

(See above) (See above) 4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit.

1 day

4. Ordered Pairs

Students will learn to locate points on a coordinate plane

(See above) (See above) Prepares for 5.G.1 1 day

Check using ordered pairs. 5. Line Graphs Check

Students will use line graphs to see changes in data over time.


6. Mean Teach

Students will calculate the mean of a collection of values.

(See above) (See above) Prepares for 6.SP.3 1 day

7. Median, Mode and Range Teach

Students will identify the mode, median, and range for numerical data sets.

(See above) (See above) Prepares for 6.SP.3

1 day

8. Stem-and-Leaf Plots Check

Students will use stem-and-leaf plots to organize data by place-value.

(See above) (See above) Prepares for 6.SP.4 1 day

9. Reading Circle Graphs Check

Students will use circle graphs to show parts of a whole.


10. Problem Solving: Make a Graph Check

Students will make and use graphs to display data and solve problems.


***Units 15, 18,19 and 20 will be included if time permits in the school year. None of the standards are covered in these chapters that have not already been learned in previous units.***

unit 1: numeration total time (with summative assessment ... maps/math 4th grade 2013.pdf · -...

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