Comprehensive 4th/ 5th Grade Math: Full Year Complete Core Curriculum! (Ongoing)
This comprehensive ongoing course covers all 5th grade Common Core place value, multiplication, division, decimal, and fraction concepts. (It is also appropriate for 4th or 6th graders who need enrichment or remediation.)
Corrie Ostrem, M. Ed, B.S. Elem. Ed
Average rating:
5.0
Number of reviews:(205)
What's included
2 live meetings
1 hrs 30 mins in-class hours per weekAssessment
Tests, letter grades, and report cards will not be provided, but feedback will be provided consistently during class.Grading
includedClass Experience
US Grade 4 - 5
Does you child need enrichment for their current math curriculum or additional practice and support? Perhaps they are a home-based learner looking for a certified and experienced instructor? This course offers instruction on all of 5th grade math standards for the typical fall semester including topics in place value, decimals, and fractions. Students will engage in group discussions on topics and will learn through concrete (hands-on), pictorial (modeling), and abstract (equation based) activities. Developing a deep understanding of concepts and their relationships is the goal of this course. Although all standard algorithms (basic computation methods) will be taught, students will focus more on problem solving straggles and how to solve multi-step problems at the 5th grade level. Support for children who are struggling or extension for those advanced students will be provided. Differentiation for each learner is important in this class. Although this class is designed to cover 5th grade common core standards is it is also appropriate for learners who are in 4th or 6th grade who need enrichment or remediation in the content areas.
Topics for the semester are as follows:
Semester Theme: Place Value, Long Multiplication and Division, Decimals, and Fractions
The semester will be broken down in to the topics described by the Common Core Standards for 5th grade.
Topics for the semester are as follows:
Semester Theme: Place Value, Long Multiplication and Division, Decimals, and Fractions
****PLEASE NOTE: THERE ARE TWO SECTIONS FOR THIS COURSE*****
***THE FOLLOWING DATES ARE FOR THE THURSDAY/FRIDAY COURSE****
(Scroll down for the Saturday/ Sunday course)
Section 1: Place Value Concepts
September 7, 2023: Whole Number Place Value (to billions) and Decimal Place Value (to 10,000ths) Basics
September 8, 2023: Expanded, Word, and Standard Form (Whole Numbers and Decimals)
September 14, 2023: Ordering and Comparing Whole Numbers and Decimals
September 15, 2023: Rounding Whole Numbers and Decimals
September 21, 2023: Place Value Patterns: Rules with Zeros and 10s, 100s, and 1,000s
September 22, 2023: Place Value Review
Section 2: Multiplication and Division Methods and Concepts
September 28, 2023: Multiplication and Division Patterns
September 29, 2023: Multiplying Whole Numbers (Box Method)
Lesson 3: Multiplying Whole Numbers (Distributive Property)
Lesson 4: Multiplying Whole Numbers (Standard Algorithm / 4 x 1 digit numbers)
Lesson 5: Estimating and Multiplying Whole Numbers ( Standard Algorithm/ 2 x 2 digit and larger)
Lesson 6: Multiplication Review (All Methods)
Lesson 7: Long Division Basics (Box Method)
Lesson 8: Long Division as Repeated Subtraction
Lesson 9: Standard Algorithm of Long Division
Lesson 9: Division Review (All Methods)
Lesson 10: Problem Solving Strategies (Mixed Operations)
Lesson 11: Problem Solving Strategies (Mixed Operations Continued)
Lesson 12: Multiplication and Division Review
Section 3: Decimal Concepts
Lesson 1: Equivalent Decimal Amounts
Lesson 2: Estimating Decimals Sums and Differences
Lesson 3: Adding Decimals less than 1 with Mental Math (Commutative, Associative, Compatible Numbers, Compensation, and Number lines)
Lesson 4: Modeling Decimal Addition and Subtraction on Open Number Lines
Lesson 5: Modeling Decimal Addition and Subtraction with Grids
Lesson 6: Adding and Subtracting Decimals with Expanded Form
Section 3: Decimals Part2
Lesson 1: Adding and Subtracting Decimals with the Standard Algorithm
Lesson 2: Evaluating Decimal Word Problems
Lesson 3: Estimating and Multiplying Decimals with the Standard Algorithm
Lesson 4: Modeling Decimal Multiplication
Lesson 5: Estimating and Dividing Decimals with the Standard Algorithm
Lesson 6: Modeling Decimal Division
Section 4: Fraction Concepts
Lesson 1: Fraction Basics (Vocabulary and Models) / Adding Proper Unit Fractions
Lesson 2: Adding Fractions with Different Denominators (Modeling andFinding the Least Common Multiple)
Lesson 3: Continued Practice with Adding Fractions with Different Denominators
Lesson 4: Subtract Fractions With and Without the Same Denominators
Lesson 5: Regrouping with Fraction Subtraction
Lesson 6: Modeling Fraction Multiplication
Lesson 7: Standard Algorithm for Fraction Multiplication
Lesson 8: Modeling Fraction Division
Lesson 9: Standard Algorithm for Fraction Division
Lesson 10: Word Problems with Fraction Addition and Subtraction
Lesson 11: Word Problems with Fraction Addition and Subtraction
Lesson 12: Mixed Review of all Fraction Operations
*****THIS IS THE SATURDAY/ SUNDAY COURSE************
Section 1: Place Value Concepts
August 19, 2023: Whole Number Place Value (to billions) and Decimal Place Value (to 10,000ths) Basics
August 20, 2023: Expanded, Word, and Standard Form (Whole Numbers and Decimals)
August 26, 2023: Ordering and Comparing Whole Numbers and Decimals
August 27, 2023: Rounding Whole Numbers and Decimals
September 2,2023: Place Value Patterns: Rules with Zeros and 10s, 100s, and 1,000s
September 3, 2023: Place Value Review
Section 2: Multiplication and Division Methods and Concepts
September 9, 2023: Multiplication and Division Patterns
September 10, 2023: Multiplying Whole Numbers (Box Method)
September 16: Multiplying Whole Numbers (Distributive Property)
September 17: Multiplying Whole Numbers (Standard Algorithm / 4 x 1 digit numbers)
September 23: Estimating and Multiplying Whole Numbers ( Standard Algorithm/ 2 x 2 digit and larger)
September 24: Multiplication Review (All Methods)
Lesson 7: Long Division Basics (Box Method)
Lesson 8: Long Division as Repeated Subtraction
Lesson 9: Standard Algorithm of Long Division
Lesson 9: Division Review (All Methods)
Lesson 10: Problem Solving Strategies (Mixed Operations)
Lesson 11: Problem Solving Strategies (Mixed Operations Continued)
Lesson 12: Multiplication and Division Review
Section 3: Decimal Concepts
Lesson 1: Equivalent Decimal Amounts
Lesson 2: Estimating Decimals Sums and Differences
Lesson 3: Adding Decimals less than 1 with Mental Math (Commutative, Associative, Compatible Numbers, Compensation, and Number lines)
Lesson 4: Modeling Decimal Addition and Subtraction on Open Number Lines
Lesson 5: Modeling Decimal Addition and Subtraction with Grids
Lesson 6: Adding and Subtracting Decimals with Expanded Form
Section 3: Decimals Part2
Lesson 1: Adding and Subtracting Decimals with the Standard Algorithm
Lesson 2: Evaluating Decimal Word Problems
Lesson 3: Estimating and Multiplying Decimals with the Standard Algorithm
Lesson 4: Modeling Decimal Multiplication
Lesson 5: Estimating and Dividing Decimals with the Standard Algorithm
Lesson 6: Modeling Decimal Division
Section 4: Fraction Concepts
Lesson 1: Fraction Basics (Vocabulary and Models) / Adding Proper Unit Fractions
Lesson 2: Adding Fractions with Different Denominators (Modeling andFinding the Least Common Multiple)
Lesson 3: Continued Practice with Adding Fractions with Different Denominators
Lesson 4: Subtract Fractions With and Without the Same Denominators
Lesson 5: Regrouping with Fraction Subtraction
Lesson 6: Modeling Fraction Multiplication
Lesson 7: Standard Algorithm for Fraction Multiplication
Lesson 8: Modeling Fraction Division
Lesson 9: Standard Algorithm for Fraction Division
Lesson 10: Word Problems with Fraction Addition and Subtraction
Lesson 11: Word Problems with Fraction Addition and Subtraction
Lesson 12: Mixed Review of all Fraction OperationsLearning Goals
These Common Core Math Standards will be covered during this course.
*Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
*Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
*Read, write, and compare decimals to thousandths.
*Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
*Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
*Use place value understanding to round decimals to any place.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
*Fluently multiply multi-digit whole numbers using the standard algorithm.
*Find whole-number quotients of whole numbers with up to four-digit dividends and two-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.
*Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
*Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
*Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2. Apply and extend previous understandings of multiplication and division.
*Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
*Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
*Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
*Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.
*Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
*Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1
*Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
*Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.
*Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
Other Details
Parental Guidance
This class does not contain any media or third-party sites.
Supply List
A lined notebook and pencil are required daily. Students are encouraged to record and keep a record of all the class problems so they can refer to them later if needed. Additionally, colored pencils, markers, construction paper, scissors, and a ruler swill be used from time to time.
Language of Instruction
English
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Sources
Content for this course will be created by the teacher, Corrie Bowman Ostrem. All materials created by the teacher are for use provided for use by the registered student only and are protected by Federal copyright law. At times, worksheets may be provided for student practice. Any materials from this course may not be given, shared, copied, uploaded, sold, or used any other third party or used in any other way other than as learning tools of this one course by the one, registered student.
Joined July, 2020
5.0
205reviews
Teacher expertise and credentials
Montana Teaching Certificate in Elementary Education
2 Degrees
Master's Degree in Education from Montana State University Billings
Bachelor's Degree in Education from Montana State University Billings
Please review my teacher biography for further information. In short, I have taught math in grades 3-6 for 18 years, full time. Reviews
Live Group Class
$42
weekly ($21 per class)2x per week
45 min
Completed by 3 learners
Live video meetings
Ages: 9-12
5-10 learners per class
