Grade 6 Math
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 understand 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.
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
Solve world problems involving inequalities, graph, and interpret the solution set in the context of the problem
Differentiate between rational and irrational numbers
Understand decimal expansion and repeats of every number
Convert decimal expansions into a rational number
Compare the size of irrational number using rational approximations
Locate 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 integer power of ten
Perform operations involving scientific
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 properties of rotations, reflections, and translations
Understand congruency of a two-dimensional figure
Describe the effect of dilations, translations, rotations, and reflections on two –dimensional figures using coordinates
Establish facts about: the angle sum and exterior angle of triangles,
Establish angles created when parallel lines are cut by transversal
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 that the fulfillment of the promise of God is Jesus Christ our Savior
Understand the teaching of Jesus Christ about the kingdom of God
Understand and appreciate Jesus as a healer
Understand Jesus as the bread of life.
Understand Jesus as our Savior
Grade 8 Science
Motion and Speed
Position, reference point, location, and motion
Common distance units
Definitions of Speed, average speed, location, and distance
Calculate average speed
Distance-time graph for speed
Relationship between speed and steepness
Differentiate between speed and velocity
Define and calculate acceleration
Forces, Net force, Newton’s laws
Law of Universal Gravitation
Orbits and Gravity
Pressure and fluid
Atmospheric pressure and Water Pressure
Pressure and Fluid Flow