Fill in the gaps with grade level roadmaps

I will solve equations by moving variables to one side of an equation.

I will solve multistep equations with rational numbers.

I will give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions.

I will use similar triangles to explain constant slope and derive equations to describe lines.

I will represent, analyze, and compare linear relationships in graphs, equations, and tables.

I will create graphs to match given descriptions of situations involving a relationship between two variables or describe situations that could match given graphs.

I will distinguish between linear and non-linear relationships.

I will graph proportional relationships, interpreting the unit rate as the slope of the graph and compare two different proportional relationships represented in different ways.

I will determine the slope and y-intercept of a line from a graph, and explain what slope and y-intercept mean in real world and mathematical problems.

I will determine the slope and the equation of a line given the coordinates of two points on the line.

I will solve systems of two linear equations graphically.

I will solve systems of two linear equations in two variables algebraically.

I will recognize systems of linear equations that have one solution, no solution, or infinitely many solutions.

I will solve systems of linear equations by eliminating variables.

I will analyze and solve verbal problems whose solution requires solving systems of linear equations in two variables.

I will define and identify functions in tables, graphs, and ordered pairs.

I will determine function rules of functions represented in tables.

I will use graphs to represent linear functions given by equations or linear data from a table.

I will make and use two-way tables to understand and interpret bivariate data.

I will make and use scatterplots to analyze associations in bivariate data.

I will make and use lines of best fit on scatterplots and their equations to analyze data.

I will solve real world and mathematical problems using similar triangles or other similar shapes.

I will draw the image of a figure under a dilation on a coordinate plane.

I will understand similarity and describe a sequence of transformations that exhibits similarity between two figures.

I will verify experimentally the properties of rotations, reflections, and translations.

I will draw the image of a figure under a translation on a coordinate plane.

I will draw the image of a figure under a reflection on a coordinate plane.

I will draw the image of a figure under a rotation on a coordinate plane.

I will use transformations to map a figure onto a congruent figure.

I will use angle relationships of intersecting lines to solve mathematical and real world problems.

I will determine angle relationships when two lines (parallel or not) are cut by a transversal and use angle relationships to solve real world and mathematical problems.

I will establish facts about the angle sum and exterior angles of triangles.

I will explore and explain triangle similarity, especially the angle angle criterion.

I will develop and apply the laws of exponents for multiplication and division to generate equivalent numerical expressions.

I will understand and simplify expressions containing integer exponents.

I will generate equivalent expressions in which an exponent is raised to another exponent.

I will use numbers expressed in the form of a single digit times a whole-number power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.

I will write and compare numbers in scientific notation.

I will solve real world and mathematical problems involving numbers in scientific notation.

I will recognize and state the value of the square root of a perfect square and estimate square roots of other whole numbers.

I will calculate or estimate square and cube roots of numbers and understand the inverse relationship of powers and roots.

I will know that the numbers that are not rational are called irrational and understand the decimal expansions of different kinds of numbers, including converting repeating decimals into fractions.

I will compare irrational numbers by approximating their value and placing them on a number line and estimate the value of expressions involving irrational numbers.

I will explore and explain the Pythagorean Theorem.

I will use the Pythagorean Theorem to determine the unknown length of a side of a right triangle and explore Pythagorean triples.

I will solve real world and mathematical problems using the Pythagorean Theorem.

I will use and explain the distance formula on a coordinate plane.

I will develop and use a formula to determine the volume of cylinders.

I will develop and use a formula to determine the volume of cones.

I will develop and use a formula to determine the volume of spheres.

I will make sense of situations where an integer is combined with its opposite.

I will add integers and other rational numbers with and without the use of a number line.

I will multiply and divide integers and other rational numbers.

I will subtract integers and other rational numbers with and without the use of a number line.

I will subtract integers and other rational numbers with and without the use of a number line.

I will translate real world situations into algebraic expressions and equations.

I will solve two-step equations.

I will solve two-step equations with positive and negative numbers.

I will solve algebraic equations using the distributive property.

I will add and subtract linear algebraic expressions.

I will graph a proportional relationship and explain what a point (x, y) on the graph means in terms of a situation.

I will represent proportional relationships by equations.

I will use ratio reasoning to decide if two quantities are in a proportional relationship.

I will represent fractions as terminating or repeating decimals.

I will represent rational numbers in multiple ways.

I will explore the relationship between the circumference and diameter of a circle in order to determine the circumference of a circle.

I will develop and use the formula for the area of a circle.

I will use integers and other rational numbers to represent numerical situations and place them on a number line.

I will write, interpret, and explain statements of order for rational numbers on the number line and in real world contexts.

I will find and interpret the absolute value of positive and negative rational numbers in mathematical and real world situations.

I will identify and plot points in all four quadrants of a coordinate plane.

I will use variables to represent numbers and write expressions to represent a real world or mathematical problem.

I will substitute values into algebraic expressions and evaluate the expressions.

I will use substitution to evaluate algebraic expressions or formulas using the order of operations, including parentheses and exponents.

I will find common factors and the greatest common factor (GCF) of two or more whole numbers and rewrite expressions using common factors and the distributive property.

I will translate between repeated multiplication and exponential form and find the value of a whole number raised to a power.

I will evaluate numerical expressions using the order of operations, including parentheses and exponents.

I will understand solving an equation as finding the values for the variable that make the equation true.

I will solve one-step algebraic equations.

I will solve problems by writing, solving, and interpreting one-step equations.

I will fluently multiply multi-digit decimals using the standard algorithm.

I will fluently divide multi-digit decimals using the standard algorithm.

I will know how ratios work and express ratios in different forms using ratio language.

I will make tables of equivalent ratios, find missing values in the tables, plot the pairs of values on a coordinate plane, and use tables to compare ratios.

I will understand the concept of rate and calculate and compare unit rates.

I will represent linear relationships in tables, equations, and graphs in the first quadrant of the coordinate plane.

I will represent percents as decimals to hundredths, fractions out of 100, and on a 100 grid.

I will determine percents from ratios.

I will classify and draw triangles by their angles and sides.

I will develop and use an area formula in order to determine the area of any triangle.

I will develop and use an area formula in order to determine the area of any parallelogram.

I will compare decimals using models.

I will understand the value of a single digit in a multi-digit number and explain the relationship between the digits.

I will read and write decimal numbers using base ten numerals, number names, and expanded form.

I will compare and order decimals using the math symbols <, >, and =.

I will use rounding rules to round numbers to the ones place and decimal place values.

I will use a pair of perpendicular lines, called axes, to define a coordinate system and locate points using coordinates.

I will solve real-world problems by plotting and interpreting points in the first quadrant of the coordinate plane.

I will generate two numerical patterns using two given rules, graph ordered pairs of corresponding terms on a coordinate plane, and identify apparent relationships between corresponding terms.

I will interpret fractions as division of the numerator by the denominator and solve whole number division problems leading to answers in the form of fractions or mixed numbers.

I will use the order of operations, including parentheses, to evaluate numerical expressions involving whole numbers.

I will explain patterns in the number of zeros in the products when multiplying whole numbers by 10; 100; and 1,000.

I will explain patterns about multiplying or dividing decimal numbers by powers of ten.

I will multiply a decimal by a whole number using a variety of strategies.

I will divide a decimal by a whole number using a variety of strategies.

I will multiply a decimal by a decimal using a variety of strategies.

I will divide a decimal by a decimal using multiple strategies.

I will simplify fractions to lowest terms.

I will multiply whole numbers by fractions.

I will interpret multiplication as scaling.

I will understand volume and measure it using unit cubes.

I will develop and use a formula for finding the volume of rectangular prisms.

I will determine an unknown whole number in an addition or subtraction equation.

I will determine an unknown whole number in a multiplication or division equation.

I will multiply one-digit whole numbers by multiples of 10.

I will calculate and list multiples of whole numbers.

I will make sense of multiplicative comparisons.

I will identify and use the distributive property of multiplication over addition, relating it to area models.

I will identify all the factors of a given whole number and identify prime and composite numbers.

I will identify and classify lines, line segments, rays, and angles.

I will understand angles measured in degrees as a fraction of a circle.

I will draw and measure angles and classify angles as acute, obtuse, right, and straight.

I will identify and draw intersecting, perpendicular, and parallel lines.

I will solve addition and subtraction problems to find unknown angles.

I will classify and draw quadrilaterals by their angles and sides.

I will understand the concept of area and find area of figures by counting square units.

I will develop and use a formula for finding the area of rectangles.

I will create equivalent fractions and explain fraction equivalence.

I will understand decimals are part of a whole and express decimals as fractions to tenths or hundredths.

I will understand a fraction as a multiple of a unit fraction.

I will recognize and generate equivalent products of fractions and whole numbers.

I will read and write whole numbers up to millions using base-ten numerals, number names, and expanded form.

I will round whole numbers to the nearest ten, hundred, or thousand.

I will compare whole numbers up to millions.

I will solve two-step word problems using all four operations.

I will solve word problems involving operations with whole numbers.

I will generate a number or shape pattern that follows a given rule and identify features of the pattern.

I will define, identify, and use the commutative and associative properties of addition and multiplication.