Sr. Cosmas – First Trimester, 2019-20

Grade 5 Math

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

Grade 6 Math

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

Grade 7 Math

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

Grade 8 Math

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

Grade 7 Religion

• Understand and acknowledge God’s presence as father and creator in the world and in our lives
• Understand the purpose of creation and human existence
• Understand and acknowledge who we are as God’s children
• Identify the Scripture and Tradition as sources of the Truth
• Acknowledge the truth about the Blessed Trinity and relate it to the sign of the cross
• Appreciate the forgiving heart of God
• Acknowledge the gift of Jesus Christ as the good news from God
• Recognize and appreciate the presence and work of the Holy Spirit in our lives
• Understand the fulfillment of the promise of God is Jesus Christ our Savior
• Understand and appreciate Jesus as a healer, as the bread of life
• Understand and appreciate Jesus as our Savior