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Perform calculations on whole number and algebraic expressions
Assessment Strategies
Written assignments, quizzes/tests (with and without use of calculator)
Criteria
Identify various forms of whole numbers
Round whole numbers to specific place value
Add, subtract, multiply, and divide whole numbers
Multiply and divide whole numbers
Apply order of operations
Evaluate algebraic expressions
Use exponential notation
Add, subtract, multiply, and divide whole number expressions
Identify and apply algebraic properties
Simplify algebraic expressions by combining like terms
Compute positive, whole number exponential expressions
Translate and English statements into algebraic expressions
Solve applied/word problems using basic operations
Applied problems use inclusive language and avoid the use of alienating language
Applied problems illustrate the contributions of historically excluded groups in STEM fields
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Use Integers
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Use inequality symbols with integers
Evaluate absolute value of integers
Add, subtract, multiply, and divide integers
Solve multi-step integer problems by applying order of operations
Apply exponents with integers as bases
Simplify and evaluate algebraic expressions with integers
Solve applied/word problems involving integers
Applied problems use inclusive language and avoid the use of alienating language
Applied problems illustrate the contributions of historically excluded groups in STEM fields
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Solve basic equations and algebraic expressions
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Use the additive inverse property to solve equations
Solve equations using the multiplication and division principles of equality
Solve equations using several principles of equality
Translate English statements into equations
Multiply algebraic expressions with exponents
Apply the distributive property to multiply a monomial by a polynomial
Solve applied problems
Applied problems use inclusive language and avoid the use of alienating language
Applied problems illustrate the contributions of historically excluded groups in STEM fields
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Use fractions and fractional expressions
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Factor whole numbers and whole number expressions
Identify types of fractions and their parts
Convert between improper fractions, mixed numbers, and whole numbers
Simplify fractions
Multiply and divide fractions and mixed numbers with like and unlike denominators
Add and subtract fractions and mixed numbers with like and unlike denominators
Reduce fractions to lowest terms
Simplify fractional expressions with exponents
List multiples of algebraic expressions
Determine lowest common multiple (LCM) of numerical and algebraic expressions
Add and subtract fractional expressions with and without a common denominator
Simplify complex fractions
Solve single and multi-step applied problems involving fractions
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Perform calculations using decimals
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Identify place value of a digit within a decimal number
Round decimals to a specific place value
Convert between decimals and fractions
Add, subtract, multiply and divide with decimals (with and without a calculator)
Compute decimal equivalents for ½, ¼, ¾, 1/3, 2/3, 1/5, 2/5, 3/5, 4/5
Solve applied problems containing decimals
Estimate reasonableness of an answer
Applied problems use inclusive language and avoid the use of alienating language
Applied problems illustrate the contributions of historically excluded groups in STEM fields
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Perform calculations using percent
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Compare decimal fractions to decimal form of number
Add, subtract, multiply, and divide decimal expressions
Estimate with percent
Convert between decimals, percent, and fractions
Solve applied problems involving percent using proportions
Solve applied problems involving percent using equations
Applied problems use inclusive language and avoid the use of alienating language
Applied problems illustrate the contributions of historically excluded groups in STEM fields
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Use ratios, rates, and proportions in applied problems
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Define and distinguish between rates and ratios
Write ratios and rates from text
Determine the compliment of a ratio
Compute unit rates and use unit rates to comparison shop
Determine if two rates or ratios are equal by checking proportionality
Solve numerical proportion problems for missing value
Solve applied/word problems using proportions
Applied problems use inclusive language and avoid the use of alienating language
Applied problems illustrate the contributions of historically excluded groups in STEM fields
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Perform calculations on polynomials
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Identify the terms of a polynomial and the coefficients of the terms
Find the opposite of a polynomial
Simplify algebraic expressions by combining like terms
Add, subtract, and multiply polynomials
Translate English statements into variable expressions
Find the greatest common factor (GCF) of numbers and algebraic terms
Factor the greatest common factor from a polynomial
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Solve equations
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Solve equations using one Principle of Equality
Solve equations using more than one Principle of Equality
Solve equations needing simplification
Solve equations containing fractions and decimals
Verify solutions to equations by evaluation
Write equations to solve application problems
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Graph linear equations
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Plot points on a rectangular coordinate system and identify coordinates on given points
Find solutions to linear equations with two variables
Write data from a graph as ordered pairs
Graph points that lie on horizontal and vertical lines
Graph linear equations in two variables
Graph horizontal and vertical lines
Find slope using rise over run
Use slope formula
Graph a line using slope-intercept form of a line
Applied problems use inclusive language and avoid the use of alienating language
Applied problems illustrate the contributions of historically excluded groups in STEM fields
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Use formulas to solve application problems
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Identify the correct formula to use for an applied problem
Solve applied problems using formulas and performing calculations
Identify unknown variable in applied problems
Manipulate formulas to solve for different variable
Solve formulas using algebraic principles of equality
Use geometric formulas to find perimeter, circumference, and area
Find the measure of an unknown angle
Use The Pythagorean Theorem
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Convert measurements of English and Metric systems
Assessment Strategies
Written assignments, quizzes and/or tests
Criteria
Differentiate between the English and Metric Systems
Convert measurements between English units
Convert measurements between Metric units
Convert measurements between English and Metric units
Identify common abbreviations for the common English units
Use “unit fractions” (Dimensional Analysis) to convert units within the English and Metric Systems
Use “unit fractions” (Dimensional Analysis) to convert units between the English and Metric Systems
Apply knowledge of the prefixes: kilo-, mega-, giga-, centi-, milli-
Convert between metric units by shifting the decimal point
Convert between Fahrenheit and Celsius using formulas
Applied problems use inclusive language and avoid the use of alienating language
Applied problems illustrate the contributions of historically excluded groups in STEM fields