Magnificent 4th Grade Math!
Place Value  from the millions to thousandths
Multiplication  up to 3 by 2 digit multiplication
Division  including long division
Fractions  conversions, operations, and basic understanding
Decimals  limited conversion to fractions
Geometry  triangles, angles, & quadrilaterals
Measurement  basic conversion in standard and metric systems & angle measurements
Algebra  input/output functions, solving for unknown, & using order of operations
Graphing  interpretation of Line Plots
Problem Solving multistep word problems
Multiplication  up to 3 by 2 digit multiplication
Division  including long division
Fractions  conversions, operations, and basic understanding
Decimals  limited conversion to fractions
Geometry  triangles, angles, & quadrilaterals
Measurement  basic conversion in standard and metric systems & angle measurements
Algebra  input/output functions, solving for unknown, & using order of operations
Graphing  interpretation of Line Plots
Problem Solving multistep word problems
Favorite Links!

Mrs. Nowicki's 10 Standards of Mathematical Practice:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
9. Practice at home.
10.Have fun!
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
9. Practice at home.
10.Have fun!
*Beginning of the Year 4th Grade Math Expectations
When you begin 4th grade, you should already be able to do the following:
I can...
See favorite links above for math eFLASHCARDS!!!
When you begin 4th grade, you should already be able to do the following:
I can...
 add and subtract basic facts with fluency
 multiply basic facts through 12 with fluency (50 facts in 2 1/2 minutes)
 divide basic facts through 12 with fluency (50 facts in 2 1/2 minutes)
 get a 100% on a 3rd Grade Big 20
See favorite links above for math eFLASHCARDS!!!










This is what we will be learning in August!
*Unit 1: Place Value & Whole Numbers up to the Millions Place
I can..
 identify the correct digit in multidigit numbers if given the place value
 identify the correct place value position for a given digit
 determine the value of a digit in a multidigit number
 determine the value of a digit in a particular place value
 identify the periods in a given number
 write and identify a number in all three forms: expanded, word, & standard
 use place value understanding to round whole numbers to any place using tools such as a number line and/or charts
 add and subtract multidigit whole numbers fluently using the standard algorithm
 round to any place and explain how I rounded
 explain that in a multidigit whole number, a digit in any one place represents ten times what it represents in the place to its right
 use place value understanding to round whole numbers to any place using tools such as a number line and/or charts
 identify and represent whole numbers using Base10 blocks
 multiply single digit whole numbers fluently
* Unit 8 Measurement & Data Test Thursday 5/7/15


I can...
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 equivalents in a two column table. (e.g., know that 1 ft is 12 times as long as 1 in. express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2,24), (3, 36)
compare one unit to another within a single system of capacity measurement and record measurement equivalents in a twocolumn table, including l, ml, c, pt, qt, gal
compare one unit to another within a single system of weight measurement and record measurement equivalents in a twocolumn table, including g, kg, lb, oz.
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 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
represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale
apply the area and perimeter formulas for rectangles in real world and mathematical problems (e.g., find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor)
make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8) Solve problems involving addition and subtraction of fractions by using information presented in line plots (e.g., from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection)
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 equivalents in a two column table. (e.g., know that 1 ft is 12 times as long as 1 in. express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2,24), (3, 36)
compare one unit to another within a single system of capacity measurement and record measurement equivalents in a twocolumn table, including l, ml, c, pt, qt, gal
compare one unit to another within a single system of weight measurement and record measurement equivalents in a twocolumn table, including g, kg, lb, oz.
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 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
represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale
apply the area and perimeter formulas for rectangles in real world and mathematical problems (e.g., find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor)
make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8) Solve problems involving addition and subtraction of fractions by using information presented in line plots (e.g., from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection)
*Unit 7 Geometry Test: Friday, 3/20/15

 recognize angles as geometric shapes that are formed wherever two rays share a common endpoint and understand concepts of angle measurement
 recognize that 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 "onedegree angle", and can be used to measure angles
 recognize that an angle that turns through "n" onedegree angles is said to have an angle measure of "n" degrees measure and draw angles using tools such as a protractor or angle ruler
 recognize angle measure as additive
 when an angle is decomposed into nonoverlapping parts, the angle measure of the whole is the sum of the angle measures of the parts
 solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure
 solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems by using an equation with a symbol for the unknown angle measure
 draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines and identify these in twodimensional figures
 classify twodimensional 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
 classify twodimensional figures based on the presence or absence of parallel or perpendicular line segments, or the presence or absence of angles of a specified size
 recognize a line of symmetry for a twodimensional figure as a line across the figure such that the figure can be folded along the line into matching parts
 identify linesymmetric figures and draw lines of symmetry
 locate a point in the first quadrant in the coordinate plane and name the ordered pair
*Unit 6 Decimals/Algebra Test Friday, 2/20/15


*Unit 5 Fractions Test Date for Part 2 is Friday, 1/23/15
Test Date for part 1 is scheduled for Friday, 1/9/15




I can...
 Explain, recognize, and generate equivalent fractions
 compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model
 model and explain addition and subtraction of fractions
 add and subtract mixed numbers with like denominators
 decompose a fraction, by using a visual fraction model, into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation and justify reasoning using visual fraction models (e.g., 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 2 1/8 = 1 + 1 + 1/8; 8/8 = 7/8 + 1/8)
 solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators by using visual fraction models and equations to represent the problem
 apply and extend previous understanding of multiplication to multiply a fraction by a whole number
 understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number (e.g., use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5
 solve word problems involving multiplication of a fraction by a whole number
 express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100 (e.g., express 3/10 as 30/100 and add 3/10 + 4/100 = 34/100)
 use decimal notation for fractions with denominators 10 or 100 (e.g., rewrite 0.62 as 62/100)
 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, e.g., by using a visual model
 still do everything else we have learned this year!!!
*Unit 4 Division Test Date Friday 11/21/14
I can...
find wholenumber quotients and remainders with up to fourdigit dividends and onedigit divisors
 Illustrate and explain division by using equations, rectangular arrays, and/or area models
solve multiplication & division word problems involving multiplicative comparison using drawings & equations
 solve multistep word problems using addition, subtraction, multiplication, and division
explain the different meanings of the remainder in division problems
use the Order of Operations to solve equations involving addition, subtraction, multiplication, and division
use multiplication to check my answer in a division problem
still do everything else we have learned this year!!!
find wholenumber quotients and remainders with up to fourdigit dividends and onedigit divisors
 Illustrate and explain division by using equations, rectangular arrays, and/or area models
solve multiplication & division word problems involving multiplicative comparison using drawings & equations
 solve multistep word problems using addition, subtraction, multiplication, and division
explain the different meanings of the remainder in division problems
use the Order of Operations to solve equations involving addition, subtraction, multiplication, and division
use multiplication to check my answer in a division problem
still do everything else we have learned this year!!!

*Unit 3 Multiplication (Test will be in 2 parts) Test Date for Part 1 Tuesday, 10/14 Test Date for Part 2 Friday, 10/24
 I can...
 multiply one digit with multiple digit number 4,345 x 4 =
 multiply twodigit by twodigit numbers 25 x 45 =
 apply the vocabulary: Prime Numbers, Composite Numbers, Factors, Product, & Multiples
 solve multiplication problems with a pattern (also called mental math)
 model multiplication problems using rectangular arrays
 solve multiplication problems from a word problem
 write or identify an expression or equation that includes a multiplication problem with a variable
 still do everything else we learned so far this year!!!!


*Unit 2: Addition and Subtraction Test on Tuesday, 9/23/14
Unit 2 Study Guide for Students  
File Size:  357 kb 
File Type: 
Unit 2 Study Guide for Parents  
File Size:  425 kb 
File Type: 
I can...
 add and subtract large numbers
 solve for the missing value when given an equation
 estimate the sum or difference
 solve for the sum or difference when given a word problem
 write an expression or equation when given a word problem
 solve a given expression or equation
 identify mistakes in an equation
 Recognize the vocabulary for these operations: difference, sum, addition, subtraction
 Recognize the Associative, Commutative, and Identity Properties of Addition
Review Skills
 Identify the place value or value of a digit within a larger number
 Round to the named place value
 Write the standard, expanded, and word form of a given number
 Identify a number based on given values
 Identify the number of tens/hundreds/thousands etc. within a given number
 Increase / decrease a number by tens/hundreds/thousands etc.
 Know your math facts!
 add and subtract large numbers
 solve for the missing value when given an equation
 estimate the sum or difference
 solve for the sum or difference when given a word problem
 write an expression or equation when given a word problem
 solve a given expression or equation
 identify mistakes in an equation
 Recognize the vocabulary for these operations: difference, sum, addition, subtraction
 Recognize the Associative, Commutative, and Identity Properties of Addition
Review Skills
 Identify the place value or value of a digit within a larger number
 Round to the named place value
 Write the standard, expanded, and word form of a given number
 Identify a number based on given values
 Identify the number of tens/hundreds/thousands etc. within a given number
 Increase / decrease a number by tens/hundreds/thousands etc.
 Know your math facts!
Study Jams! (Test yourself!)
Addition with Regrouping
Subtraction with Regrouping
Tutorial How to Subtract with Regrouping
Addition with Regrouping
Subtraction with Regrouping
Tutorial How to Subtract with Regrouping
Place Value Teaching Videos on Learn Zillion
1.) Go to Learnzillion Quick Code : LZ514
2.) Go to Learnzillion Quick Code LZ515 (Modeling)
3.) Go to Learnzillion Quick Code LZ516 (Relationship between digits and place value)
4.) Go to Learnzillion Quick Code LZ805 (Multiply by Powers of Ten)
5.) How to Round Numbers
6.) Go to Learnzillion Quick Code: LZ523, LZ524, LZ525, LZ526, LZ527 (Rounding)
1.) Go to Learnzillion Quick Code : LZ514
2.) Go to Learnzillion Quick Code LZ515 (Modeling)
3.) Go to Learnzillion Quick Code LZ516 (Relationship between digits and place value)
4.) Go to Learnzillion Quick Code LZ805 (Multiply by Powers of Ten)
5.) How to Round Numbers
6.) Go to Learnzillion Quick Code: LZ523, LZ524, LZ525, LZ526, LZ527 (Rounding)

Place Value Study Guide for Students  
File Size:  214 kb 
File Type: 
