# Sr. Cosmas’s Class Page

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Dear Students,
Welcome to your Mathematics and Religion Classes.
I am happy to work with you this academic year. I know you are very ready to dissolve the real world problems through your basic skills and careful applications of Mathematical concepts by June 2020. Be ready to find Math and Religion in every corner of your environment. From the Religion class, you gain confidence and God’s blessings for the mathematical adventure.
Welcome aboard the train of success!

### Sr. Cosmas – First Trimester, 2019-20

Posted on October 15, 2019

Number and Operations in Base Ten

• Recognize that in a multi-digit whole number, a digit in one place represents 10 times as much as it represent in the place to its right and 1/10 of what it represents in the place to its left.
• Recognize and explain patterns in the number of zeroes of the product when multiplying a number by powers of 10
• Recognize 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 the thousandths and round decimals to any place
• Find whole number quotients of whole numbers with up to four-digit dividends and two digit divisors
• Add, subtract, multiply, and divide decimals to the hundredths
• Read and write whole numbers to the millions
• Compare and order numbers to the millions
• Compare fractions and decimals
• Use a variety of strategies to multiply three-digit by three-digit numbers
• Use a variety of strategies to divide three-digit numbers by one-digit and two-digit numbers
• Understand that percent means part of a hundred, and write percents as fractions and decimals
• Convert Measurement Units in a particular measurement system

Number System

• Understand the concept of a ratio
• Use multiple forms of ratio language and ratio notation to describe a ratio relationship between two quantities
• Understand the value of a ratio and equivalent ratios
• Build ratio tables from equivalent ratios and study their additive and multiplicative structure.
• Use tape diagrams, double number line diagrams, tables, equations and graphs to solve ratio problems in real world contexts
• Relate ratio tables to equations using the value of a ratio
• Transfer ordered pairs from table to a graph on the coordinate plane
• Use unit rates and rates to determine measurement conversions
• Use unit rates to interpret unit prices to compare prices in real world situations
• Find percent of a quantity as a rate per 100. Use language of percent to express ratios and to solve percent problems
• Recognize and simplify complex fractions
• Divide and multiply fractions by fractions
• Add, subtract, multiply and divide multi-digit numbers using standard algorithm
• Add, subtract, multiply, and divide multi-digit decimals using standard algorithm
• Use distributive property to express a sum of two whole numbers with a common factor as a multiple of two whole numbers with no common factor
• Describe quantities having opposite directions or values using positive and negative numbers
• Understand rational number as a point on the number line
• Use positive and negative numbers to represent points on the number line (horizontal and vertical), and coordinate plain.
Solve real-world and mathematical problems using rational numbers, coordinate plane, coordinates, and absolute value

Number System

• Use ratio and rate reasoning to define proportional relationship
• Identify proportional relationships from tables, graphs, equations, and verbal descriptions
• Understand unit rate as constant of proportionality
• Use constant of proportionality to represent proportional relationships in equations
• Apply the understanding of unit rates for ratios and rates involving fractions to solve multi-step ratio problems
• Identify scale factor as the constant of proportionality
• Calculate actual lengths and areas of objects
• Create scale drawings of a two-dimensional figure
•  Add and subtract rational numbers
• Represent addition and subtraction of rational numbers on a number line
• Multiply and divide rational numbers
• Solve real-world and mathematical problems involving the four operations with rational numbers

Expressions and Equations

•  Add, subtract, and expand linear expressions with rational coefficients by applying properties of operations as strategies
• Rewrite expressions in different forms to understand the relationships among numbers
• Solve multi-step real-world and mathematics problems that involve positive and negative rational numbers in any form
• Convert between forms of rational numbers as appropriate
• Use variables to represent quantities in real-world and mathematical problems
• Construct simple equations and inequalities to solve problems
• Compare and algebraic solution to an arithmetic solution
•  Solve world problems involving inequalities graph and interpret the solution set in the context of the problem

Number System

•  Differentiate between rational and irrational numbers
• Understand that every number has a decimal expansion, which eventually repeats
• Convert decimal expansions with repeats into a rational number
• Compare the size of irrational number using the rational approximations of irrational numbers
• Locate approximately, and graph irrational numbers on a number line

Expressions and Equations

• Know and apply the properties of integer exponents to generate equivalent numerical expressions
• Represent solutions to equations involving squares and cubes of positive rational numbers using square root and cube root
• Know that √2 is irrational
• Estimate and compare very large or very small quantities using numbers expressed in single digit times an integer power of ten
• Perform operations involving numbers expressed in scientific notation including problems where both scientific notation and decimal are used
• Choose units of appropriate size for measurements of very large or very small quantities
• Choose and rewrite numbers expressed in scientific notation to have the same magnitude
• Verify experimentally the properties of rotations, reflections, and translations
• Understand that congruency of a two-dimensional figure
• Describe a sequence that exhibits the congruence between two congruent figures
• Describe the effect of dilations, translations, rotations, and reflections on two –dimensional figures using coordinates
• Use informal arguments to establish facts about: the angle sum and exterior angle of triangles
• about angles created when parallel lines are cut by transversal
• and angle-angle criterion for similarity of triangles