Math
Pearson Success (Envision Math Log In)
In grade 5, instructional time is focused on three critical areas: (1) developing fluency with addition and subtraction of fractions, and developing understanding of the multiplication of fractions and of division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions); (2) extending division to 2-digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations; and (3) developing understanding of volume.
A Parent’s Guide to the Standards for Mathematical Practice
cc5_tt_43.pdfUnit 1: Place Value
How are whole numbers and decimals written, compared and ordered?
Place value is the foundation for math studied in fifth grade! For the first few weeks of school, students have reviewed place value concepts and have learned to write, compare, and order whole numbers and decimals from the billions to the thousandths place. Please feel free to practice place value with your child at home!
cc5_1_voca.pdfcc5_1_hsc_en.pdf
Topic 2: Adding and Subtracting Decimals
How can sums and differences of decimals be estimated? What are the standard procedures for adding and subtracting whole numbers and decimals?
Students build on their knowledge of place value with adding and subtracting whole numbers and decimals, as well as making estimates using rounding.
cc5_2_voca.pdfcc5_2_hsc_en.pdfTopic 3: Multiplying Whole Numbers
What are the standard procedures for estimating and multiplying whole numbers?
Students learn the properties of multiplication, to multiply using mental math, to make estimates using rounding and compatible numbers, to use exponential notation, and to multiply whole numbers using the standard algorithm.
It is very important that students practice their math facts nightly until they are automatic.
cc5_3_voca.pdfcc5_3_hsc_en.pdfTopic 4: Dividing by 1-Digit Divisors
What is the standard procedure for division and why does it work?
Students learn how to divide with one-digit divisors. Learning this skill will require his or her understanding in the areas of estimating quotients, remainders, dividing with one-digit divisors, and using zeros in quotients. You can expect to see work that provides practice in dividing whole numbers with one-digit divisors and checking the answer with multiplication. Your child should continue to practice basic facts in multiplication and division.
cc5_4_voca.pdftopic_4.pdfTopic 5: Dividing by 2-Digit Divisors
What is the standard procedure for division and why does it work?
In this topic, students take division of whole numbers a step further. He or she learns how to divide any whole number by a two-digit divisor. In order to do this, students must understand how to divide multiples of ten. Certain skills such as estimation, substitution, finding one- and two-digit quotients, and dividing greater numbers are learned and practiced.
cc5_5_hsc_en.pdfTopic 6: Multiplying Decimals
What is the standard procedures for estimating and finding products involving decimals?
Students learn to multiply decimals, including money amounts. He or she learns to multiply by whole numbers and by decimals and how to estimate products when multiplying decimals.
cc5_6_hsc_en.pdfTopic 7: Dividing Decimals
What is the standard procedures for estimating and finding quotients involving decimals?
Students learn to divide decimals, including amounts of money. He or she will divide decimals by whole numbers and by decimals. Estimating quotients when dividing decimals will be another important skill.
cc5_7_hsc_en.pdfTopic 8: Numerical Expressions, Patterns, and Relationships
How are the values of an algebraic expression and numerical expression found?
Students learn to use variables—letters such as x and y that can represent a number whose value is unknown or changeable. They also learn to write expressions—combinations of numbers, variables, and operations that can describe a mathematical problem. For instance, if we use x to represent the cost of a certain item, we can write the expression 3x + 5 to represent the total cost of buying three of that item and paying a $5 shipping charge.
cc5_8_voca.pdfcc5_8_hsc_en.pdf
Topic 13: Units of Measure
What are the customary measurement units and how are they related? What are the metric units and how are they related?
Students learn how to use and convert units of measure (length, capacity, and weight) in the customary and metric systems.
cc5_13_hsc_en.pdf
Topic 9: Adding and Subtracting Fractions
What are the standard procedures for adding and subtracting fractions with unlike denominators?
Students learn how to add and subtract fractions with unlike denominators. They will learn how to find the least common multiple of two or more numbers, and then will use this skill to find a common denominator of fractions with unlike denominators.
cc5_9_voca.pdfcc5_9_hsc_en.pdfTopic 10: Adding and Subtracting Mixed Numbers
What are the standard procedures for adding and subtracting mixed numbers?
Students learn to add and subtract mixed numbers with regrouping (borrowing).
cc5_10_voca.pdfcc5_10_hsc_en.pdf
Topic 11: Multiplying and Dividing Fractions and Mixed Numbers
What are the standard procedures for finding products and quotients of fractions and mixed numbers?
Students learn to multiply and divide fractions and mixed numbers.
cc5_11_voca.pdfcc5_11_hsc_en.pdfTopic 12: Volume of Solids
How can you find the volume of a rectangular prism?
Students learn about the names of different solids and learn to use the formula to find the volume of rectangular prisms.
cc5_12_voca.pdfcc5_12_hsc_en.pdfTopic 15: Classifying Plane Figures
What are the standard procedures for finding products and quotients of fractions and mixed numbers?
Students learn about geometric concepts. They learn about polygons and their special names, how to classify quadrilaterals by the properties of their angles and sides, and two ways to classify triangles.
cc5_15_voca.pdfcc5_15_hsc_en.pdf