"A child's knowledge of fractions in 5th grade predicts performance in high school math classes."

2012 study by Bob Siegler of Carnegie Mellon University

Units of Study:

·

****

**Unit 1: Addition and Subtraction with Fractions**

o Approximate End Date: Mid-September

o Key concepts

§ What is a numerator/denominator

§ Equivalent fractions

§ Simplifying/unsimplifying fractions

§ Comparing fractions

§ Mixed Numbers & improper fractions-compare and convert.

§ Adding fractions and mixed #’s-both with and without common denominators

§ Subtracting fractions and mixed #’s-both with and without common denominators

·

**Unit 2: Addition and Subtractions with Decimals**

o Approximate End Date: Mid October

o Key concepts

§ Decimals as an equal division of a whole

§ Comparing decimals

§ Writing fractions as a decimal number

§ Place value to thousandths-Key concept!

§ Writing numbers in word form, short form, expanded form and power of 10 form

§ Adding decimals

§ Subtracting decimals

§ Rounding decimal numbers to thousandths

§ Commutative, Associative and Distributive properties of addition

·

**Unit 3: Multiplication & Division with Fractions**

o Approximate End Date: Mid November

o Key Concepts

§ Multiplication and division of fractions

§ Recognizing a multiplier (no measurement afterwards)

§ Multiplying mixed numbers

§ Word problem strategies

§ Rewrite division problems as multiplication problems and vice versa

§ Line plots

·

**Unit 4: Multiplication with Whole Numbers & Decimals**

o Approximate End Date: End of December

o Key Concepts

§ Place-value to thousandths

§ Place-value shifts when multiplying or dividing

§ Exponents

§ Multiplying Whole numbers

§ Multiplying whole numbers by decimal numbers

§ Multiplying decimal numbers by decimal numbers

§ Rounding to thousandths

·

**Unit 5: Division with Whole Numbers & Decimals**

o Approximate End Date: Early February

o Key Concepts

§ Division of whole numbers by 1 or 2-digit divisors

§ Estimating 2-digit divisors

§ Interpreting remainders

§ Dividing decimals numbers by whole numbers

§ Dividing whole & decimal numbers by decimal divisors

·

**Unit 6: We will cover this short unit throughout the year.**

**· Unit 7: Algebra, Patterns and Coordinate Graphs**

o Approximate End Date: Mid-March

o Key Concepts

§ Simplifying expressions

§ Evaluating expressions using variables (e.g. x + 5 = 10; evaluate for x)

§ Numerical patterns

§ Graphing on the coordinate plane (positive grid only)

·

**Unit 8: Measurement & Geometry**

o Approximate End Date: Mid April

o Key Concepts

§ Metric conversions for length, weight and volume

§ Customary conversions for length, weight and volume

§ Line Plots

§ Perimeter & area of rectangles

§ Cubic units

§ Volume of rectangular prisms

§ Volume of solid composite figures using cubic units

§ Relationship between length, area and volume

§ Attributes of quadrilaterals

§ Attributes of triangles

§ Attributes of 2-dimensional shapes

·

**Math Olympics**

o Approximate Date: Mid May through the end of the year

o Key concepts:

§ Solidifying mathematical understanding of multiplication, fractions, division, and word problems through math games.

·

**Homework**

o Homework assignments for each unit will be paper homework unless specified. If it is not paper homework it will be on Khan Academy. All of the homework for each unit needs to be done by the date shown on the website or on the paper handout. 100% credit will be awarded for completing the assignments. All homework assignments are given a weight of 20%. Any assignment not completed will receive a score of zero. Any late work will receive a reduced score. If a student has a question about the homework I expect that he/she will come in and see me before or after school for help.

·

**Tests & Quizzes**

o

**Unit Tests**

§ There will be one of these at the end of each unit. A student may take this test home and correct any missed problems for ½ credit. A parent must sign the test that they went over the missed problems with the student. A student may also come in and go over the missed problems with me.

o

**Vocabulary Tests**

§ I will hand out vocabulary study sheets at the beginning of a unit. Not all units have vocabulary tests. The students will take the vocabulary tests at the same time as the unit tests. These vocabulary tests are in a matching format. Like with Unit tests, a student may take this test home and correct any missed problems for ½ credit. A parent must sign the test that they went over the missed problems with the student.

o

**Quizzes**

§ Quizzes are given in class and cannot be corrected for extra credit.