Pre-algebra learning targets
Semester 1
“I can…”
1.1 evaluate an expression with one or more variables
1.2 interpret and evaluate expressions containing exponents
1.3 apply the order of operations to the evaluation of expressions
1.4 interpret and evaluate expressions containing absolute values
1.5/1.6 add and subtract integers
1.7 multiply and divide integers
1.8 identify and plot points in the coordinate plane
-------------------------------------------------------------------------------------------------------------------------------
2.2 understand and apply the distributive property
2.3a describe the vocabulary related to parts of an expression
2.3b simplify expressions by combining like terms
2.4 relate 1-step equations to written descriptions and test solutions
2.5 solve 1-step equations with addition and subtraction
2.6 solve 1-step equations with multiplication and division
2.7 solve 1-step equations with decimals
-------------------------------------------------------------------------------------------------------------------------------
3.1 solve 2-step equations
3.2 solve equations by applying the distributive property
3.3 solve equations with variables on both sides
3.4/3.5 solve inequalities using the four basic operations
3.6 solve multi-step inequalities
-------------------------------------------------------------------------------------------------------------------------------
4.1 determine if a number is prime or composite and factor if necessary.
4.2 find the greatest common factor of a pair of numbers or monomials
determine whether a pair of numbers is relatively prime
4.3 write a fraction in its simplest form
4.4a find the least common multiple of a pair of numbers or monomials
4.4b find the least common denominator of a set of fractions
4.5 apply the product and quotient of powers properties to expressions with exponents
4.6 apply the rules of negative and zero exponents to expressions with exponents
4.7 write and multiply numbers in scientific notation
-------------------------------------------------------------------------------------------------------------------------------
5.1a show that a number is rational by writing it as the quotient of two integers
5.1b convert values between fractions, decimals, and mixed numbers
5.2 add and subtract fractions with common denominators
5.3 add and subtract fractions without common denominators
5.4 multiply fractions
5.5 divide fractions by using the multiplicative inverse
5.6 use the multiplicative inverse to solve 1- and 2-step equations
5.7 solve equations and inequalities with rational numbers
-------------------------------------------------------------------------------------------------------------------------------
6.1 use ratios to write unit rates and equivalent rates
6.2 use equivalent ratios and algebra to solve proportions
6.3 use the cross product property to solve and determine proportions
-------------------------------------------------------------------------------------------------------------------------------
6.4a identify corresponding sides and angles between figures
6.4b construct ratios of corresponding sides
1.1 evaluate an expression with one or more variables
1.2 interpret and evaluate expressions containing exponents
1.3 apply the order of operations to the evaluation of expressions
1.4 interpret and evaluate expressions containing absolute values
1.5/1.6 add and subtract integers
1.7 multiply and divide integers
1.8 identify and plot points in the coordinate plane
-------------------------------------------------------------------------------------------------------------------------------
2.2 understand and apply the distributive property
2.3a describe the vocabulary related to parts of an expression
2.3b simplify expressions by combining like terms
2.4 relate 1-step equations to written descriptions and test solutions
2.5 solve 1-step equations with addition and subtraction
2.6 solve 1-step equations with multiplication and division
2.7 solve 1-step equations with decimals
-------------------------------------------------------------------------------------------------------------------------------
3.1 solve 2-step equations
3.2 solve equations by applying the distributive property
3.3 solve equations with variables on both sides
3.4/3.5 solve inequalities using the four basic operations
3.6 solve multi-step inequalities
-------------------------------------------------------------------------------------------------------------------------------
4.1 determine if a number is prime or composite and factor if necessary.
4.2 find the greatest common factor of a pair of numbers or monomials
determine whether a pair of numbers is relatively prime
4.3 write a fraction in its simplest form
4.4a find the least common multiple of a pair of numbers or monomials
4.4b find the least common denominator of a set of fractions
4.5 apply the product and quotient of powers properties to expressions with exponents
4.6 apply the rules of negative and zero exponents to expressions with exponents
4.7 write and multiply numbers in scientific notation
-------------------------------------------------------------------------------------------------------------------------------
5.1a show that a number is rational by writing it as the quotient of two integers
5.1b convert values between fractions, decimals, and mixed numbers
5.2 add and subtract fractions with common denominators
5.3 add and subtract fractions without common denominators
5.4 multiply fractions
5.5 divide fractions by using the multiplicative inverse
5.6 use the multiplicative inverse to solve 1- and 2-step equations
5.7 solve equations and inequalities with rational numbers
-------------------------------------------------------------------------------------------------------------------------------
6.1 use ratios to write unit rates and equivalent rates
6.2 use equivalent ratios and algebra to solve proportions
6.3 use the cross product property to solve and determine proportions
-------------------------------------------------------------------------------------------------------------------------------
6.4a identify corresponding sides and angles between figures
6.4b construct ratios of corresponding sides
Semester 2
6.5 use proportions to solve for corresponding sides in similar figures
6.6 use a scale to go between actual and drawing measurements
6.7 use ratios to find probability and odds of events
6.8 use tree diagrams and the counting principle for calculating the number of possible events and probability of those events
-------------------------------------------------------------------------------------------------------------------------------
7.1 convert between fractions and percentages and find percentages of numbers
7.2 solve percent problems involving proportions and applications
7.3 convert decimals to percents and convert percents to decimals
7.4 solve percent problems using the percent equation
7.5 find a percent of change in a quantity
7.6 solve real-world application problems with percentages
7.7 solve problems containing simple and compound interest
-------------------------------------------------------------------------------------------------------------------------------
8.1 represent relations using graphs to determine whether it’s a function and the domain and range
8.2a test whether an ordered pair is a solution
8.2b graph a linear equation using a table and write it in function form
8.3 graph a linear equation using intercepts (in standard form)
8.4 determine the slope between two points and of a line
8.5 graph linear equations in slope-intercept (y = mx + b) form
8.6 write the linear equation for a line given its slope and y-intercept
8.7 evaluate and graph using function notation
8.8 solve a system of equations by graphing
8.9 graph linear inequalities in 2 variables
-------------------------------------------------------------------------------------------------------------------------------
9.1 find and approximate square roots
9.2 simplify square roots
9.3 use the Pythagorean Theorem to find missing sides of right triangles
9.4 describe the difference between rational and irrational numbers
9.5 use the distance and midpoint formulas with coordinate geometry
9.7 use the tangent ratio to find missing parts of triangles
9.8 use the sine and cosine ratios to find missing parts of triangles
-------------------------------------------------------------------------------------------------------------------------------
6.6 use a scale to go between actual and drawing measurements
6.7 use ratios to find probability and odds of events
6.8 use tree diagrams and the counting principle for calculating the number of possible events and probability of those events
-------------------------------------------------------------------------------------------------------------------------------
7.1 convert between fractions and percentages and find percentages of numbers
7.2 solve percent problems involving proportions and applications
7.3 convert decimals to percents and convert percents to decimals
7.4 solve percent problems using the percent equation
7.5 find a percent of change in a quantity
7.6 solve real-world application problems with percentages
7.7 solve problems containing simple and compound interest
-------------------------------------------------------------------------------------------------------------------------------
8.1 represent relations using graphs to determine whether it’s a function and the domain and range
8.2a test whether an ordered pair is a solution
8.2b graph a linear equation using a table and write it in function form
8.3 graph a linear equation using intercepts (in standard form)
8.4 determine the slope between two points and of a line
8.5 graph linear equations in slope-intercept (y = mx + b) form
8.6 write the linear equation for a line given its slope and y-intercept
8.7 evaluate and graph using function notation
8.8 solve a system of equations by graphing
8.9 graph linear inequalities in 2 variables
-------------------------------------------------------------------------------------------------------------------------------
9.1 find and approximate square roots
9.2 simplify square roots
9.3 use the Pythagorean Theorem to find missing sides of right triangles
9.4 describe the difference between rational and irrational numbers
9.5 use the distance and midpoint formulas with coordinate geometry
9.7 use the tangent ratio to find missing parts of triangles
9.8 use the sine and cosine ratios to find missing parts of triangles
-------------------------------------------------------------------------------------------------------------------------------