Implementing the Common Core
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Connecticut, United States
About the store
For the past 11 years, I have provided small group math support to children in the second, third, fourth, and fifth grades. During this time I have worked with well over 600 students.
My resources consist of ready-made, turnkey math lesson plans and worksheets. Each lesson plan includes an instructor's guide, which provides a clear explanation for each Common Core Standard covered. A corresponding student worksheets section creates ample opportunity for students to practice and master all required skills.
My materials allow differentiation within the classroom because they have been designed to help instruct children who may be struggling with a particular grade level math concept, and also as enrichment activities.
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5.NF.B.4.B Finding the Area of Rectangles with Fractional Side Lengths
1. In finding the area of rectangles with fractional side lengths, the Common Core allows for the use of (a) either the distributive property of multiplication or (b) the multiplication of improper fractions.
2. These Lesson Plans explain how to find the area of rectangles with fractional side lengths using both methods. Students use graph paper to draw area models that demonstrate an understanding of the use of the distributive property of multiplication. Students draw additional area mod
5th
Fractions, Math
CCSS
5.NF.B.4
, 5.NF.B.4b
4.MD.B.4 and 5.MD.B.2 Line Plots Using Mixed Numbers to 1/4 of a Whole
1. These Lesson Plans create line plots using mixed numbers to fractions of 1/4 of a whole.
2. Students practice the addition of mixed numbers by breaking the mixed numbers apart into whole numbers plus fractions and adding each of these parts separately. Students practice the subtraction of mixed numbers by using the inverse relationship between addition and subtraction. (Fourth and Fifth Grade Standards 4.NF.B.3.C and 5.NF.A.1).
3. These Lesson Plans include templates that allow te
4th - 5th
Fractions, Math, Measurement
CCSS
4.MD.B.4
, 5.MD.B.2
, 4.NF.B.3c
 +1
5.NF.B.5, 5.NF.B.5.A, and 5.NF.B.5.B Multiplication as Scaling
1. These Lesson Plans explain that multiplication can be thought of as scaling. This means that the product in a multiplication problem is either greater than, less than, or equal to one factor based on the size of the other "scale" factor.
2. Students will practice and solve problems using the four different scale factor rules. These rules are as follows:
(i) Multiplying by whole number greater than one results in a greater product.
(ii) Multiplying by a fraction greater than one als
5th
Fractions, Math
CCSS
5.NF.B.5
, 5.NF.B.5a
, 5.NF.B.5b
4.NF.C.5 Addition of Decimal Fractions
1. These Lesson Plans explain different ways to read, write, and represent decimals. These representations include drawing a picture, using a number line, using words, using a place value chart, using the expanded decimal form, using the expanded fraction form, as decimal fractions, and by using base-ten pieces.
2. Students will practice breaking decimals into a sum of smaller parts. For example:
0.35 = 1 tenth plus 25 hundredths.
3. Students will model fractions in tenths and find th
4th
Decimals, Fractions, Math
CCSS
4.NF.C.5
5.MD.B.2 Line Plots Using Fractions to 1/8 of a Whole
1. This second set of Lesson Plans for Standard 5.MD.B.2 explains how to graph a set of data on a line plot using fractions to 1/8 of a whole.
2. These Lesson Plans include a discussion on how to partition a number line to 1/8 intervals, find equivalent fractions on the number line, and create and solve an expression to find the mean or average.
3. Students also have the opportunity to perform and describe a science experiment based on the line plot data.
4. These Lesson Plans in
5th
Fractions, Math, Measurement
CCSS
5.MD.B.2
5.MD.B.2 More Line Plots Using Fractions to 1/8 of a Whole
1. This third set of Lesson Plans for Standard 5.MD.B.2 provides additional practice partitioning number lines and creating line plots using fractions to 1/8 of a whole. Students create line plots using up to 14 data points and continue to create expressions and perform operations with the fractions.
2. These Lesson Plans include templates that allow teachers to modify and create additional practice problems for students.
5th
Fractions, Math, Measurement
CCSS
5.MD.B.2
3.NF.A.2 and 3.NF.A.2.A Partitioning Number Lines
1. These Lesson Plans partition number lines into equal parts and explore unit fractions, or fractions with a numerator of 1 (fraction 1/b).
2. Students will learn that fractions with a numerator greater than 1 (fraction a/b) are made up of a sum of unit fractions.
3. Students will solve word problems that locate fractions less than one whole on number lines. Students will learn the importance of using the same size "one whole" when drawing these number lines. (Third Grade Standard 3.NF
3rd
Fractions, Math
CCSS
3.NF.A.2
, 3.NF.A.2a
, 3.NF.A.3d
5.NF.B.3 Fractions as a Division Problem
1. These Lesson Plans explain that a fraction (a/b) is a division problem where the numerator (a) is divided by the denominator (b).
For example:
3/4 = 3 ÷ 4
2. The answers to these division problems can be either a fraction less than one whole or a mixed number depending on the size of the numerator compared to the denominator.
3. Students will solve word problems by drawing pictures, creating equations, and exploring the inverse relationship between multiplication and division. Stu
5th
Fractions, Math
CCSS
5.NF.B.3
5.NF.B.6 Mixed Number Multiplication Word Problems
1. In this second set of Lesson Plans for Standard 5.NF.B.6, students will solve word problems involving the multiplication of mixed numbers by both fractions and by whole numbers. (For example: Finding 2/3 of 2 1/2.)
2. Students will model this multiplication using both pictures and an area model.
3. Students will check their solutions by using both the distributive property of multiplication and by changing any mixed number into an improper fraction.
4. These Lesson Plans provide
5th
Fractions, Math
CCSS
5.NF.B.4a
, 5.NF.B.4b
, 5.NF.B.5b
 +1
5.NF.B.7.C Real World Problems Involving the Division of and by Unit Fractions
1. These Lesson Plans cover word problems that involve the division of (a) a unit fraction by a whole number and (b) a whole number by a unit fraction. Unit fractions have a numerator of 1.
2. Students will create "visual fraction models" that include both pictures and number lines. The division is modeled both by the partitioning of the pictures and number lines into equal parts and by repeated subtraction on a number line.
3. Students will create equations, explore the inverse or
5th
Fractions, Math
CCSS
5.NF.B.7
, 5.NF.B.7a
, 5.NF.B.7b
 +1
3.NF.A.1 Fractions as Equal Parts
1. These Lesson Plans partition shapes into equal parts and explore unit fractions, or fractions with a numerator of 1 (fraction 1/b).
2. Students will learn that fractions with a numerator greater than 1 (fraction a/b) are made up of a sum of unit fractions.
3. Students will partition shapes, draw fractions, and create equations to show fractions with a numerator greater than 1 as a sum of unit fractions. For example:
5/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4
4. Students will solve word
3rd
Fractions, Math
CCSS
3.NF.A.1
, 3.NF.A.3d
3.NF.A.3.A, 3.NF.A.3.B, and 3.NF.A.3.C Finding Equivalent Fractions
1. These Lesson Plans explain that fractions are equivalent if they are the same size or located at the same position on a number line.
2. Students will draw pictures and partition a set of number lines to show fraction equivalence. (3.NF.A.3.A)
3. As third grade students work with denominators of 2, 3, 4, 6, and 8, the simple equivalent fractions generated are:
1/4 = 2/8
1/3 = 2/6
1/2 = 2/4 = 3/6 = 4/8
2/3 = 4/6
3/4 = 6/8 and
1/1 = 2/2 = 3/3 = 4/4 = 6/6 = 8/8. (3.NF.A.3.B)
3rd
Fractions, Math
CCSS
3.NF.A.3
, 3.NF.A.3a
, 3.NF.A.3b
 +1
5.NF.B.6 Fraction Multiplication Word Problems
1. In this first set of Lesson Plans for Standard 5.NF.B.6, students will solve word problems that involve the multiplication of fractions by fractions. (For example: Finding 2/3 of 3/4).
2. Students will model the solutions to these word problems using both number lines and area models.
3. These Lesson Plans also provide teachers with the opportunity to reinforce skills acquired by students in the following other Fifth Grade Fraction Standards:
5.NF.B.4.A (Multiplication by a Fract
5th
Fractions, Math
CCSS
5.NF.B.4a
, 5.NF.B.5b
, 5.NF.B.6
5.NF.A.1 Addition of Fractions and Mixed Numbers
1. This first set of Lesson Plans for Standard 5.NF.A.1 covers the addition of fractions and mixed numbers with unlike denominators.
2. Students will add fractions by finding a common denominator. This common denominator can be found by multiplying the denominator of the first fraction by the denominator of the second fraction and is not necessarily the lowest common denominator.
3. Students will explore the associative and commutative properties of addition by breaking mixed numbers a
5th
Fractions, Math
CCSS
5.NF.A.1
4.NF.B.3.D and 5.NF.A.2 Benchmark Fractions
1. These additional Lesson Plans for Standards 4.NF.B.3.D and 5.NF.A.2 provide practice for students in comparing fractions to benchmark fractions.
2. Benchmark fractions can be easily compared to other fractions and include 1/10, 1/4, 1/2, 3/4, and 1/1. Knowledge of these fractions can be used to see if a solution to a fraction word problem makes sense.
3. Students will model the fractions using both pictures and number lines.
4th - 5th
Fractions, Math
CCSS
4.NF.B.3d
, 5.NF.A.2
3.NF.A.2.B Equal Intervals on Number Lines
1. These Lesson Plans cover the creation of fractions by using "tick marks" to mark off equal lengths on number lines starting at 0. Each length is made up of a unit fraction, or a fraction with a numerator of 1 (fraction 1/b). The unit fractions that third grade students work with are 1/2, 1/3, 1/4, 1/6, and 1/8.
2. Students will learn that fractions with a numerator greater than 1 (fraction a/b) are made up of a sum of unit fractions.
3. Students will solve word problems and locate fr
3rd
Fractions, Math
CCSS
3.NF.A.2
, 3.NF.A.2b
3.NF.A.3 and 3.NF.A.3.D Comparing Fractions
1. These Lesson Plans explain how to draw pictures and create number lines to compare fractions that either have the same numerator (2/6 < 2/3) or the same denominator (6/4 > 3/4).
2. Students will solve word problems by partitioning number lines and shapes into equal parts to compare fractions that are within one whole.
3. Students will also solve word problems by drawing pictures and equal intervals on number lines to compare fractions that are greater than one whole.
4.
3rd
Fractions, Math
CCSS
3.NF.A.3
, 3.NF.A.3d
5.NF.B.4.A Multiplication by a Fraction as a Sequence of Operations
1. These Lesson Plans explain that the product for a number multiplied by a fraction can be found two different ways depending on whether a student chooses to divide or multiply the number first. In other words:
2/3 x 4 =
"Four Divided by Three Times Two" or
"Four Times Two Divided by Three"
2. Students will draw pictures, create expressions, and use a number line to show these two sequences of operations.
3. These Lesson Plans include templates that allow teachers to modify and creat
5th
Fractions, Math
CCSS
5.NF.B.4
, 5.NF.B.4a
5.NF.A.1 Subtraction of Fractions and Mixed Numbers
1. These second set of Lesson Plans for Standard 5.NF.A.1 covers the subtraction of fractions and mixed numbers with unlike denominators.
2. Students will explore the "inverse" or opposite relationship between addition and subtraction. This means that they will create equations and solve subtraction problems by counting up.
3. One way that students will find common denominators is by multiplying the denominator of the first fraction by the denominator of the second fraction. This does
5th
Fractions, Math
CCSS
5.NF.A.1
4.NF.B.3.D Word Problems Involving the Addition and Subtraction of Fractions
1. These Lesson Plans solve word problems involving the addition and subtraction of fractions with like denominators. The definition of "like" denominators has been extended to include fractions where one denominator is the multiple of the other denominator.
For example:
1/2 + 5/6
2. Students will create equations and model their solutions using both pictures and number lines. Students will check to see if their solutions make sense using their knowledge of benchmark fractions.
3. Th
4th
Fractions, Math, Other (Math)
CCSS
4.NF.B.3d
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About the store
Experience
For the past 11 years, I have provided small group math support to children in the second, third, fourth, and fifth grades. During this time I have worked with well over 600 students.
My resources consist of ready-made, turnkey math lesson plans and worksheets. Each lesson plan includes an instructor's guide, which provides a clear explanation for each Common Core Standard covered. A corresponding student worksheets section creates ample opportunity for students to practice and master all required skills.
My materials allow differentiation within the classroom because they have been designed to help instruct children who may be struggling with a particular grade level math concept, and also as enrichment activities.
Teaching style
Engage students within a small group setting.
Awards & shining teacher moments
Magna Cum Laude, Boston College,
Beta Gamma Sigma, National Business Honor Society
My own education history
Carroll School of Management, Boston College
Additional biographical information
15-year career in business and finance prior to working as a math instructor.
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