# Sr. Cosmas’s Class Page

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Dear Students,
Welcome to your Mathematics, Science, and Religion Classes.
I am happy to work with you this academic year. I know you are very ready to work hard and make the year a very successful one.

### Sr. Cosmas – First Trimester 2020-2021

Posted on September 20, 2019

FIRST TRIMESTER

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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 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.

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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

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

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Number System

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

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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

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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

Gravity

Law of Universal Gravitation

Orbits and Gravity

Pressure and fluid

Atmospheric pressure and Water Pressure

Pressure and Fluid Flow

Buoyant Force

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