**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